Word Problems

Problem 5501

How many yards do you walk each camel daily if the arena is 50 yards long and 35 yards wide, walked twice? A. 70 yards B. 140 yards C. 170 yards D. 340 yards E. 3,570 yards

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Problem 5502

Analyze the quadratic function $f(x)=-x^{2}-8x$ : graph it, find if it opens up/down, vertex, axis of symmetry, and intercepts.

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Problem 5503

What was the temperature at midnight if it dropped $0.5^{\circ} \mathrm{C}$ each hour to $11.5^{\circ} \mathrm{C}$ by $5:00$ am?

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Problem 5504

A scientist starts at 184 feet below sea level and goes to 257 feet in 2 seconds. Find the rate of change in feet per second.

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Problem 5505

A scientist descends for 71s at 4.9 ft/s and ascends for 68s at 1.4 ft/s. How deep is she below sea level?

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Problem 5506

Convert $99.5^{\circ}$ Fahrenheit to Celsius using $1.8 C + 32 = 99.5$ . Round to the nearest tenth.

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Problem 5507

If Lourdes buys 12 packs of paper in 3-packs at \$10.50 each, how much more does she spend than buying 4-packs at \$13.50?

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Problem 5508

Find the tickets sold per hour if 40,000 tickets sold out in 12.5 hours using $40,000 - 12.5x = 0$ .

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Problem 5509

Find $x$ in a right triangle with sides 10 and 11 using the Pythagorean theorem.

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Problem 5510

Graph the function $f(x)=-x^{2}+8x$ . Determine if it opens up or down, and find its vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

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Problem 5511

Calculate the hypotenuse of a right triangle with sides 8 and 10. Round your answer to 2 decimal places.

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Problem 5512

Find 'x' and the lengths of sides 'ab', 'bc', 'ac' given $AC=3x^2$ , $AB=4x^2-10$ , $BC=13x-20$ .

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Problem 5513

For the function $f(x)=-x^{2}+8x$ , find if it opens up or down, its vertex, axis of symmetry, and $x$ -intercepts.

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Problem 5514

How far does a catcher throw from home plate to second base in a 60-foot diamond? Use the distance formula: $d = \sqrt{(60^2 + 60^2)}$ .

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Problem 5515

Describe how $g(x)=f(x+5)-1$ transforms $f(x)=|x-9|$ and identify both graphs.

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Problem 5516

Graph the function $f(x)=-x^{2}-4x$ : does it open up or down? Find the vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

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Problem 5517

Find $\csc \theta$ if $\cot \theta=-\frac{1}{6}$ and $\theta$ is in quadrant IV. Simplify your answer.

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Problem 5518

Find $\cos \theta$ if $\sin \theta=\frac{4}{5}$ and $\theta$ is in quadrant II. Simplify your answer.

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Problem 5519

Graph the function $f(x)=-x^{2}-4x$ . Determine if it opens up or down, and find the vertex, axis of symmetry, and intercepts.

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Problem 5520

Convert $103.1^{\circ}$ Fahrenheit to Celsius using $1.8 C + 32 = 103.1$ . Round to the nearest tenth.

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Problem 5521

Grant can buy 6-packs for \$2.10 or 9-packs for \$2.88. How much more will he spend on 18 balls if he buys only 6-packs?

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Problem 5522

Find the average rate of change of Company B's stock price from January ( $28) to April ($ 22). Round to the nearest cent.

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Problem 5523

Find the tickets sold per hour if 50,000 tickets sold out in 2 hours using $50,000 - 2x = 0$ .

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Problem 5524

Find the other trigonometric functions of $\theta$ if $\sin \theta=-\frac{\sqrt{3}}{7}$ in quadrant III. What is $\cos \theta$ ?

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Problem 5525

Find the remaining trigonometric functions of $\theta$ if $\sin \theta=-\frac{\sqrt{3}}{7}$ in quadrant III.

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Problem 5526

Simone wants 15 tickets. How much more will she spend buying 3-ticket packs at $\$ 6.25$ each instead of 5-ticket packs at $\$ 8.75$ ?

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Problem 5527

Find the remaining trig functions of $\theta$ if $\sin \theta = -\frac{\sqrt{3}}{7}$ in quadrant III.

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Problem 5528

Find the other trig functions for $\theta$ if $\sin \theta=-\frac{\sqrt{3}}{7}$ in quadrant III.

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Problem 5529

If Bus A takes 22 minutes and Bus B takes 15 minutes, when will they arrive together after leaving at 8:30 a.m.?

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Problem 5530

Find the other trigonometric functions of $\theta$ if $\sin \theta=-\frac{\sqrt{3}}{7}$ in quadrant III.

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Problem 5531

Find $\csc \theta$ if $\cot \theta=-\frac{1}{6}$ and $\theta$ is in quadrant IV.

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Problem 5532

Find the values of the trigonometric functions for $\theta$ where $\cot \theta=\frac{\sqrt{5}}{6}$ in quadrant III.

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Problem 5533

If a group plays 4 games, how much more do they spend buying individually at \$4.40 each vs. 2-game packs at \$8.40?

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Problem 5534

Find all trigonometric functions of $\theta$ if $\sec \theta = -8$ and $\sin \theta > 0$ . What is $\sin \theta$ ?

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Problem 5535

Calculate the distance between -11.7 and -2.5. Click "try" when finished.

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Problem 5536

If a group plays 4 games, how much more do they spend buying single games at \$4.40 each vs. 2-game packs at \$8.40?

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Problem 5537

Calculate the distance between -3.9 and 9.8. Use the formula $d = |x_2 - x_1|$ .

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Problem 5538

Calculate the distance between -10.1 and 1.2. Use the formula $d = |x_1 - x_2|$ .

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Problem 5539

Calculate the distance between 0.3 and 5.9. Use the formula: distance = |5.9 - 0.3|.

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Problem 5540

Calculate the distance between -0.7 and -10.6.

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Problem 5541

Calculate the distance between 9.5 and -2.2. Use the formula $d = |9.5 - (-2.2)|$ . Click "try" when finished.

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Problem 5542

Find the distance between -5.4 and 8.7. Use the formula $d = |x_1 - x_2|$ .

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Problem 5543

Write a balanced chemical equation for the reaction of chlorine gas with sodium bromide: $Cl_2 + NaBr \rightarrow NaCl + Br_2$ .

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Problem 5544

Find the $z$ -score for a person who spent \$710, given an average cost of \$890 and a standard deviation of \$250.

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Problem 5545

Find Jenna's score value if she got 85, and Jacob's z-score if he got 65, given average 78 and SD 7.

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Problem 5546

Find the amount spent if the $z$ score is 1.2, average is \$890, and standard deviation is \$250.

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Problem 5547

Balance the equation for the decomposition of solid potassium hydroxide $(\mathrm{KOH})$ into solid potassium oxide and water.

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Problem 5548

Calculate the weighted mean depression levels: Group 1 $\mu_{1}=15$ , Group 2 $\mu_{2}=11$ . Then for alcohol: Group 1 $\mu_{1}=16$ , Group 2 $\mu_{2}=18$ . Round to one decimal place. $\mu=$

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Problem 5549

What score did Jackie get if her $z$ -score is 1.14, given the test average is $78\%$ and standard deviation is 7?

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Problem 5550

On April 1, 2024, Oakland Corp lends \$490,000 at 10% for 12 months. Record the loan, interest adjustment, and cash collection.

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Problem 5551

Write the balanced net equation for synthesizing phosphoric acid from P, O, and H₂O using the reactions provided.

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Problem 5552

Balance the chemical equation for the decomposition of solid potassium hydroxide (KOH) into solid potassium oxide and water vapor.

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Problem 5553

Find the $z$ score for a classmate who is 67 inches tall, given an average height of 63 inches and a standard deviation of 5.

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Problem 5554

How many cm does the map use to show 1 km if the scale is $0.3: \frac{1}{5}$ ? A $\frac{2}{3}$ B $\frac{3}{5}$ C 0.06 D 1.5

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Problem 5555

A farmer has 140 bushels of apples and sells $15 \frac{5}{8}$ bushels daily. What is the change after 5 days?

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Problem 5556

Physicians' Hospital has A/R \$54,000 and allowance \$1,100. Uncollectibles are estimated at 15%. Find entries and net A/R.

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Problem 5557

Physicians' Hospital has \$54,000 in A/R and \$1,100 in allowance. Uncollectibles are estimated at 15%. Find adjustments and net A/R.

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Problem 5558

Estimate uncollectible receivables for a Physical Therapy Center, record the adjustment, and calculate net accounts receivable.

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Problem 5559

Brett and Kenny earn different hourly rates. Use the equation $75 + 10h = 12.5h$ to find hours $h$ they need to work to earn the same. How many hours? Simplify.

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Problem 5560

Ann spent half as much time building a shed on Sunday as Saturday and 2 hours organizing tools. Find $h$ , hours on Saturday.
Which equation to solve for $h$ ? $h=\frac{1}{2} h+2$ $h+2=\frac{1}{2} h$
How many hours did Ann spend building on Saturday? Simplify any fractions. hours

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Problem 5561

Jeanette wrote 48 pages and adds 4 per week. Carlos writes 10 per week. Find $w$ when Carlos matches Jeanette's pages:
$48 + 4w = 10w$
How many weeks until Carlos equals Jeanette's pages?

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Problem 5562

If $P$ is invested at $5\%$ interest compounded continuously, how long until the account is worth $2P$ ?

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Problem 5563

Identify the term for a statement with a hypothesis and conclusion that must be proven: definition, diagram, postulate, or theorem?

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Problem 5564

Monica knits 10 inches/day after 16 inches; Sean knits 14 inches/day. Find $d$ for equal lengths: $16 + 10d = 14d$ . How many days?

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Problem 5565

Scott is on page 150, William on page 66. They read 10 and 22 pages daily. Find $d$ when William matches Scott's pages.
$150+10d=66+22d \quad 150+22d=66+10d$
How many days until William matches Scott?

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Problem 5566

Scott is on page 150, William on page 66. They read 10 and 22 pages daily. Find $d$ such that $150 + 10d = 66 + 22d$ . How many days until William catches up?

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Problem 5567

Audrey invested \$10,000 in a 3-year CD at 10\% annual interest, compounded annually. Find its value after 3 years.

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Problem 5568

Estimate the number of bus seats needed for 173 third graders and 124 fourth graders if each seat fits 3 students.

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Problem 5569

A TV priced at \$869 is on sale for 35% off. What is the sale price?

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Problem 5570

Ava swims 70 yards in 2 minutes. How far can she swim in 5 minutes? Calculate: $d = \frac{70 \text{ yards}}{2 \text{ min}} \times 5 \text{ min}$ .

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Problem 5571

Sofía needs chairs for her quinceañera. If the ratio of chairs to tables is $6:1$ , how many chairs for 18 tables?

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Problem 5572

Identify a scenario that fits the inequality $x<56$ .

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Problem 5573

Crystal Tunes has 7.2M subscribers gaining 1.7M/month. Mad Musik has 26.8M losing 1.1M/month. When will they equal subscribers? months

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Problem 5574

A plane flies at 150 mph for 160 miles ± 25 miles. Find hours using the equation: $h = \frac{d}{s}$ .

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Problem 5575

Max's soda stand costs: bottles at \$0.32, ingredients at \$0.10, and a \$54 sealer. How many bottles must he sell at \$1.50?

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Problem 5576

Find the price of one adult ticket and one child ticket given: 3A + 4C = 81 and 7A + 1C = 64.

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Problem 5577

What is the expression for the quotient of a number $n$ divided by 4?

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Problem 5578

Ann spends \$89 on software and \$394 on ads. Each art costs \$14 to make and sells for \$35. How many must she sell?

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Problem 5579

Find the point on the function $y=\frac{1}{2}|x+1|$ given that $(-8,8)$ is on the parent function.

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Problem 5580

What is the $\mathrm{pH}$ at which histidine's $\mathrm{R}$ group is mainly ionized if its $\mathrm{pKa}$ is 6.0? Options: 4, 6, 7, 8.

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Problem 5581

Owen and Jamie spent the same total. Owen spent \$13 on food and played 6 games; Jamie spent \$8.50 on food and played 9 games. Find the price of each game.

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Problem 5582

Owen and Jamie spent the same amount. Owen spent \$13 on food and 6 games, Jamie \$8.50 on food and 9 games. Find game price.

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Problem 5583

Find a two-digit number whose digits reversed decreases its value by 27, and the sum of its digits is 7.

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Problem 5584

Zack spent the same total on parking and shopping each day. Find the per-minute parking cost if he parked 68 mins for \$34 and 143 mins for \$31.

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Problem 5585

Amelia made 12 flowers and makes 10/hour. Colette makes 14/hour. When will they have the same total? Find hours.

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Problem 5586

Find the fence length where costs are equal: $20x + 210 = 27.50x$ . Simplify to find $x$ in feet.

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Problem 5587

Order of Operations: Find the missing expressions for Step 2 and Step 6 in the calculation of $\left(\frac{6^{2}+2}{|-0.5|}\right)-14.8 \div 8$ .

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Problem 5588

Solve for $c$ in the compound inequalities: $c+10 \leq -1$ or $c+9 \geq 14$ . Write as a compound inequality.

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Problem 5589

After how many months will Bob's old internet ( $65 - 50$ ) equal the new provider's ( $150 + 40 \times$ months)?

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Problem 5590

Calculate the perimeter of a triangle with sides $-x^2 + 9$ , $8x + 3$ , and $2x^2 + 4$ inches.

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Problem 5591

A food truck sells salads for \$6.50 and drinks for \$2.00. If total sales are \$836.50 from 209 items, how many salads?

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Problem 5592

Find the value(s) of $h$ such that the vector $b=\left[\begin{array}{l}5 \\ 3 \\ h\end{array}\right]$ lies in the plane spanned by $a_{1}=\left[\begin{array}{r}1 \\ 3 \\ -1\end{array}\right]$ and $a_{2}=\left[\begin{array}{r}-5 \\ -11 \\ 2\end{array}\right]$ . The value(s) of $h$ is(are) $\square$ .

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Problem 5593

The temperature drops 1 degree per hour for 3 hours. What is the total temperature change after 3 hours?

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Problem 5594

Show that the equation $A x=b$ has no solution for all $b$ , and find the set of $b$ for which it does.

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Problem 5595

Michelle moved furniture from a 3-room apartment. If kitchen = bedroom + 1, living room = 2 \times bedroom - 2, find counts.

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Problem 5596

Given sets $A=\{1,2,10,13,15,18\}$ and $B=\{1,2,15,18,19\}$ from universal set $S=\{1,2,\ldots,20\}$ , find $A \cup B$ and $A \cap B$ .

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Problem 5597

What was the original price of an item if its sale price is \$82.46 after a reduction of \$5.26?

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Problem 5598

What is the total gallons of gas Yoko bought last week if she filled her tank with 9.86, 9, and 17.2 gallons?

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Problem 5599

The item was originally priced at \$19.42 and reduced by \$1.15. What is the new price?

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Problem 5600

What is the total length of the wires measuring 1.06 cm, 17 cm, 4.4 cm, and 15.2 cm?

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Word Problems

Problem 5501

How many yards do you walk each camel daily if the arena is 50 yards long and 35 yards wide, walked twice? A. 70 yards B. 140 yards C. 170 yards D. 340 yards E. 3,570 yards

Problem 5502

Analyze the quadratic function f(x)=−x2−8xf(x)=-x^{2}-8xf(x)=−x2−8x: graph it, find if it opens up/down, vertex, axis of symmetry, and intercepts.

Problem 5503

What was the temperature at midnight if it dropped 0.5∘C0.5^{\circ} \mathrm{C}0.5∘C each hour to 11.5∘C11.5^{\circ} \mathrm{C}11.5∘C by 5:005:005:00 am?

Problem 5504

A scientist starts at 184 feet below sea level and goes to 257 feet in 2 seconds. Find the rate of change in feet per second.

Problem 5505

A scientist descends for 71s at 4.9 ft/s and ascends for 68s at 1.4 ft/s. How deep is she below sea level?

Problem 5506

Convert 99.5∘99.5^{\circ}99.5∘ Fahrenheit to Celsius using 1.8C+32=99.51.8 C + 32 = 99.51.8C+32=99.5. Round to the nearest tenth.

Problem 5507

If Lourdes buys 12 packs of paper in 3-packs at \$10.50 each, how much more does she spend than buying 4-packs at \$13.50?

Problem 5508

Find the tickets sold per hour if 40,000 tickets sold out in 12.5 hours using 40,000−12.5x=040,000 - 12.5x = 040,000−12.5x=0.

Problem 5509

Find xxx in a right triangle with sides 10 and 11 using the Pythagorean theorem.

Problem 5510

Graph the function f(x)=−x2+8xf(x)=-x^{2}+8xf(x)=−x2+8x. Determine if it opens up or down, and find its vertex, axis of symmetry, yyy-intercept, and xxx-intercepts.

Problem 5511

Calculate the hypotenuse of a right triangle with sides 8 and 10. Round your answer to 2 decimal places.

Problem 5512

Find 'x' and the lengths of sides 'ab', 'bc', 'ac' given AC=3x2AC=3x^2AC=3x2, AB=4x2−10AB=4x^2-10AB=4x2−10, BC=13x−20BC=13x-20BC=13x−20.

Problem 5513

For the function f(x)=−x2+8xf(x)=-x^{2}+8xf(x)=−x2+8x, find if it opens up or down, its vertex, axis of symmetry, and xxx-intercepts.

Problem 5514

How far does a catcher throw from home plate to second base in a 60-foot diamond? Use the distance formula: d=(602+602)d = \sqrt{(60^2 + 60^2)}d=(602+602)​.

Problem 5515

Describe how g(x)=f(x+5)−1g(x)=f(x+5)-1g(x)=f(x+5)−1 transforms f(x)=∣x−9∣f(x)=|x-9|f(x)=∣x−9∣ and identify both graphs.

Problem 5516

Graph the function f(x)=−x2−4xf(x)=-x^{2}-4xf(x)=−x2−4x: does it open up or down? Find the vertex, axis of symmetry, yyy-intercept, and xxx-intercepts.

Problem 5517

Find csc⁡θ\csc \thetacscθ if cot⁡θ=−16\cot \theta=-\frac{1}{6}cotθ=−61​ and θ\thetaθ is in quadrant IV. Simplify your answer.

Problem 5518

Find cos⁡θ\cos \thetacosθ if sin⁡θ=45\sin \theta=\frac{4}{5}sinθ=54​ and θ\thetaθ is in quadrant II. Simplify your answer.

Problem 5519

Graph the function f(x)=−x2−4xf(x)=-x^{2}-4xf(x)=−x2−4x. Determine if it opens up or down, and find the vertex, axis of symmetry, and intercepts.

Problem 5520

Convert 103.1∘103.1^{\circ}103.1∘ Fahrenheit to Celsius using 1.8C+32=103.11.8 C + 32 = 103.11.8C+32=103.1. Round to the nearest tenth.

Problem 5521

Grant can buy 6-packs for \$2.10 or 9-packs for \$2.88. How much more will he spend on 18 balls if he buys only 6-packs?

Problem 5522

Find the average rate of change of Company B's stock price from January (28)toApril(28) to April (28)toApril(22). Round to the nearest cent.

Problem 5523

Find the tickets sold per hour if 50,000 tickets sold out in 2 hours using 50,000−2x=050,000 - 2x = 050,000−2x=0.

Problem 5524

Find the other trigonometric functions of θ\thetaθ if sin⁡θ=−37\sin \theta=-\frac{\sqrt{3}}{7}sinθ=−73​​ in quadrant III. What is cos⁡θ\cos \thetacosθ?

Problem 5525

Find the remaining trigonometric functions of θ\thetaθ if sin⁡θ=−37\sin \theta=-\frac{\sqrt{3}}{7}sinθ=−73​​ in quadrant III.

Problem 5526

Simone wants 15 tickets. How much more will she spend buying 3-ticket packs at $6.25\$ 6.25$6.25 each instead of 5-ticket packs at $8.75\$ 8.75$8.75?

Problem 5527

Find the remaining trig functions of θ\thetaθ if sin⁡θ=−37\sin \theta = -\frac{\sqrt{3}}{7}sinθ=−73​​ in quadrant III.

Problem 5528

Find the other trig functions for θ\thetaθ if sin⁡θ=−37\sin \theta=-\frac{\sqrt{3}}{7}sinθ=−73​​ in quadrant III.

Problem 5529

If Bus A takes 22 minutes and Bus B takes 15 minutes, when will they arrive together after leaving at 8:30 a.m.?

Problem 5530

Find the other trigonometric functions of θ\thetaθ if sin⁡θ=−37\sin \theta=-\frac{\sqrt{3}}{7}sinθ=−73​​ in quadrant III.

Problem 5531

Find csc⁡θ\csc \thetacscθ if cot⁡θ=−16\cot \theta=-\frac{1}{6}cotθ=−61​ and θ\thetaθ is in quadrant IV.

Problem 5532

Find the values of the trigonometric functions for θ\thetaθ where cot⁡θ=56\cot \theta=\frac{\sqrt{5}}{6}cotθ=65​​ in quadrant III.

Problem 5533

If a group plays 4 games, how much more do they spend buying individually at \$4.40 each vs. 2-game packs at \$8.40?

Problem 5534

Find all trigonometric functions of θ\thetaθ if sec⁡θ=−8\sec \theta = -8secθ=−8 and sin⁡θ>0\sin \theta > 0sinθ>0. What is sin⁡θ\sin \thetasinθ?

Problem 5535

Calculate the distance between -11.7 and -2.5. Click "try" when finished.

Problem 5536

If a group plays 4 games, how much more do they spend buying single games at \$4.40 each vs. 2-game packs at \$8.40?

Problem 5537

Calculate the distance between -3.9 and 9.8. Use the formula d=∣x2−x1∣d = |x_2 - x_1|d=∣x2​−x1​∣.

Problem 5538

Calculate the distance between -10.1 and 1.2. Use the formula d=∣x1−x2∣d = |x_1 - x_2|d=∣x1​−x2​∣.

Problem 5539

Calculate the distance between 0.3 and 5.9. Use the formula: distance = |5.9 - 0.3|.

Problem 5540

Analyze the quadratic function $f(x)=-x^{2}-8x$ : graph it, find if it opens up/down, vertex, axis of symmetry, and intercepts.

What was the temperature at midnight if it dropped $0.5^{\circ} \mathrm{C}$ each hour to $11.5^{\circ} \mathrm{C}$ by $5:00$ am?

Convert $99.5^{\circ}$ Fahrenheit to Celsius using $1.8 C + 32 = 99.5$ . Round to the nearest tenth.

Find the tickets sold per hour if 40,000 tickets sold out in 12.5 hours using $40,000 - 12.5x = 0$ .

Find $x$ in a right triangle with sides 10 and 11 using the Pythagorean theorem.

Graph the function $f(x)=-x^{2}+8x$ . Determine if it opens up or down, and find its vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

Find 'x' and the lengths of sides 'ab', 'bc', 'ac' given $AC=3x^2$ , $AB=4x^2-10$ , $BC=13x-20$ .

For the function $f(x)=-x^{2}+8x$ , find if it opens up or down, its vertex, axis of symmetry, and $x$ -intercepts.

How far does a catcher throw from home plate to second base in a 60-foot diamond? Use the distance formula: $d = \sqrt{(60^2 + 60^2)}$ .

Describe how $g(x)=f(x+5)-1$ transforms $f(x)=|x-9|$ and identify both graphs.

Graph the function $f(x)=-x^{2}-4x$ : does it open up or down? Find the vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

Find $\csc \theta$ if $\cot \theta=-\frac{1}{6}$ and $\theta$ is in quadrant IV. Simplify your answer.

Find $\cos \theta$ if $\sin \theta=\frac{4}{5}$ and $\theta$ is in quadrant II. Simplify your answer.

Graph the function $f(x)=-x^{2}-4x$ . Determine if it opens up or down, and find the vertex, axis of symmetry, and intercepts.

Convert $103.1^{\circ}$ Fahrenheit to Celsius using $1.8 C + 32 = 103.1$ . Round to the nearest tenth.

Find the average rate of change of Company B's stock price from January ( $28) to April ($ 22). Round to the nearest cent.

Find the tickets sold per hour if 50,000 tickets sold out in 2 hours using $50,000 - 2x = 0$ .

Find the other trigonometric functions of $\theta$ if $\sin \theta=-\frac{\sqrt{3}}{7}$ in quadrant III. What is $\cos \theta$ ?

Find the remaining trigonometric functions of $\theta$ if $\sin \theta=-\frac{\sqrt{3}}{7}$ in quadrant III.

Simone wants 15 tickets. How much more will she spend buying 3-ticket packs at $\$ 6.25$ each instead of 5-ticket packs at $\$ 8.75$ ?

Find the remaining trig functions of $\theta$ if $\sin \theta = -\frac{\sqrt{3}}{7}$ in quadrant III.

Find the other trig functions for $\theta$ if $\sin \theta=-\frac{\sqrt{3}}{7}$ in quadrant III.

Find the other trigonometric functions of $\theta$ if $\sin \theta=-\frac{\sqrt{3}}{7}$ in quadrant III.

Find $\csc \theta$ if $\cot \theta=-\frac{1}{6}$ and $\theta$ is in quadrant IV.

Find the values of the trigonometric functions for $\theta$ where $\cot \theta=\frac{\sqrt{5}}{6}$ in quadrant III.

Find all trigonometric functions of $\theta$ if $\sec \theta = -8$ and $\sin \theta > 0$ . What is $\sin \theta$ ?

Calculate the distance between -3.9 and 9.8. Use the formula $d = |x_2 - x_1|$ .

Calculate the distance between -10.1 and 1.2. Use the formula $d = |x_1 - x_2|$ .

Calculate the distance between 9.5 and -2.2. Use the formula $d = |9.5 - (-2.2)|$ . Click "try" when finished.

Find the distance between -5.4 and 8.7. Use the formula $d = |x_1 - x_2|$ .

Write a balanced chemical equation for the reaction of chlorine gas with sodium bromide: $Cl_2 + NaBr \rightarrow NaCl + Br_2$ .

Find the $z$ -score for a person who spent \$710, given an average cost of \$890 and a standard deviation of \$250.

Find the amount spent if the $z$ score is 1.2, average is \$890, and standard deviation is \$250.

Balance the equation for the decomposition of solid potassium hydroxide $(\mathrm{KOH})$ into solid potassium oxide and water.

Calculate the weighted mean depression levels: Group 1 $\mu_{1}=15$ , Group 2 $\mu_{2}=11$ . Then for alcohol: Group 1 $\mu_{1}=16$ , Group 2 $\mu_{2}=18$ . Round to one decimal place. $\mu=$

What score did Jackie get if her $z$ -score is 1.14, given the test average is $78\%$ and standard deviation is 7?

Find the $z$ score for a classmate who is 67 inches tall, given an average height of 63 inches and a standard deviation of 5.

How many cm does the map use to show 1 km if the scale is $0.3: \frac{1}{5}$ ? A $\frac{2}{3}$ B $\frac{3}{5}$ C 0.06 D 1.5

A farmer has 140 bushels of apples and sells $15 \frac{5}{8}$ bushels daily. What is the change after 5 days?

Brett and Kenny earn different hourly rates. Use the equation $75 + 10h = 12.5h$ to find hours $h$ they need to work to earn the same. How many hours? Simplify.

Jeanette wrote 48 pages and adds 4 per week. Carlos writes 10 per week. Find $w$ when Carlos matches Jeanette's pages:
$48 + 4w = 10w$
How many weeks until Carlos equals Jeanette's pages?

If $P$ is invested at $5\%$ interest compounded continuously, how long until the account is worth $2P$ ?

Monica knits 10 inches/day after 16 inches; Sean knits 14 inches/day. Find $d$ for equal lengths: $16 + 10d = 14d$ . How many days?

Scott is on page 150, William on page 66. They read 10 and 22 pages daily. Find $d$ when William matches Scott's pages.
$150+10d=66+22d \quad 150+22d=66+10d$
How many days until William matches Scott?

Scott is on page 150, William on page 66. They read 10 and 22 pages daily. Find $d$ such that $150 + 10d = 66 + 22d$ . How many days until William catches up?

Ava swims 70 yards in 2 minutes. How far can she swim in 5 minutes? Calculate: $d = \frac{70 \text{ yards}}{2 \text{ min}} \times 5 \text{ min}$ .

Sofía needs chairs for her quinceañera. If the ratio of chairs to tables is $6:1$ , how many chairs for 18 tables?

Identify a scenario that fits the inequality $x<56$ .

A plane flies at 150 mph for 160 miles ± 25 miles. Find hours using the equation: $h = \frac{d}{s}$ .