Word Problems

Problem 5701

Cameron has run 1,383 miles and wants to reach 2,000 miles. How many more miles does she need to run? $2000 - 1383$

See Solution

Problem 5702

Vuyisanani deposited R17 600 at a simple interest rate. At 19, it was R49 984. How much interest if rate was $2.25\%$ less? a. R27 954,61 b. R26 048,00 c. R32 384,00 d. R6 336,00

See Solution

Problem 5703

Emily's semester grade is from 4 quizzes (15% each) and 1 final (40%). Scores: 70, 80, 85, 85. What final score for at least 82?

See Solution

Problem 5704

Vuyisanani invested R16 700 at simple interest. At age 21, it grew to R47 929. If interest was 2\% less, what would he earn in 17 years? a. R26 176,57 b. R31 229,00 c. R25 551,00 d. R5 678,00

See Solution

Problem 5705

Find $k$ if $k\%$ of 127 equals 32. A) 0.25 B) 0.55 C) 25 D) 55

See Solution

Problem 5706

Identify the invalid equation from the options below: A. $\sin \frac{\pi}{3}=\cos \frac{\pi}{6}$ B. $\sin \frac{\pi}{4}=\cos \frac{\pi}{4}$ C. $\csc \frac{\pi}{6}=\cos \frac{\pi}{3}$ D. $\tan \frac{\pi}{4}=\cot \frac{\pi}{4}$

See Solution

Problem 5707

Choose the false statement about binomials: A binomial has two terms. Is $q^{5}+8 q-2$ a binomial? Is $q^{5}+8 q$ a binomial?

See Solution

Problem 5708

What function represents the world's population P (in billions) $t$ years after 1975, given a 1.9% growth rate? A) $P(t)=4(1.019)^{t}$ B) $P(t)=4(1.9)^{t}$ C) $P(t)=1.19 t+4$

See Solution

Problem 5709

Choose the false statement about monomials:
1. A monomial is a number, variable, or product of a number and variables with whole number exponents.
2. $-3 x^{4} y$ is a monomial.
3. $-3 x^{4} y + 2 x y$ is a monomial.

See Solution

Problem 5710

Choose the false statement about degrees of polynomials:
1. For $4 x^{3}+2 x^{2}$ , the degree is 3.
2. For $2 x^{2}-5 x^{4}$ , the degree is 4.
3. For $-5 x^{2}+10 x$ , the degree is 3.

See Solution

Problem 5711

Choose the false statement about coefficients: 1) It's the number in front of a monomial. 2) It's always a number. 3) It's the number at the end of a polynomial in standard form.

See Solution

Problem 5712

Choose the false statement about polynomials:
1. A polynomial can include whole number exponents.
2. A polynomial can include only addition or subtraction.
3. A polynomial cannot include an equal sign.

See Solution

Problem 5713

Model kakapo population growth with a recurrence relation. Assume 50% female, 1 egg/4 years, and 29% hatchling survival.

See Solution

Problem 5714

Find the acute angle $\theta$ where $\sin \theta = \frac{\sqrt{3}}{2}$ . What is $\theta$ in radians?

See Solution

Problem 5715

A charged ball (20.0 nC) is at the center of a hollow shell (8 cm inner, 10 cm outer). Find:
(a) Inner surface charge density.
(b) Outer surface charge density.
(c) Electric flux through spheres of radii 5 cm, 9 cm, and 11 cm.

See Solution

Problem 5716

A Grade 2 teacher plans a picnic for 30 people. Find seating rules and table counts for two patterns: $8; 10; 12; \ldots$ and $8; 12; 16; \ldots$ .

See Solution

Problem 5717

Write 317 million in scientific notation.

See Solution

Problem 5718

If $\sec \theta=6$ , find $\csc \theta$ , $\cot \theta$ , $\sin \theta$ , $\cos \theta$ , and $\tan \theta$ .

See Solution

Problem 5719

1. Find the identity element for $a * b = a + b - 3$ . A. 3 B. 2 C. 0 D. -3
2. Find the sum of the sequence $4, -2, 1, -\frac{1}{2}, \ldots$ . A. $-\frac{3}{4}$ B. $\frac{3}{4}$ C. $\frac{8}{3}$ D. 8
3. Solve $256^{(x+1)} = 8^{(1 - x^{2})}$ . A. $-1, -\frac{5}{3}$ B. $-\frac{3}{8}, -\frac{5}{3}$ C. $\frac{8}{3}, \frac{3}{5}$ D. $\frac{8}{3}, \frac{5}{3}$
4. If $\alpha$ and $\beta$ are roots of $x^{2} + 3x - 4 = 0$ , find $\alpha^{2} + \beta^{2} - 3\alpha\beta$ . A. -11 B. 20 C. 21 D. 29
5. Rationalize $\frac{1}{\sqrt{3} - \sqrt{2}}$ . A. $\sqrt{3} - \sqrt{2}$ B. $\frac{\sqrt{3} + \sqrt{2}}{3}$ C. $\frac{\sqrt{3} + \sqrt{2}}{2}$ D. $\sqrt{3} + \sqrt{2}$

See Solution

Problem 5720

Which statement about a $\frac{\pi}{4}, \frac{\pi}{4}, \frac{\pi}{2}$ triangle with hypotenuse $\sqrt{2}$ is true?

See Solution

Problem 5721

Find the midpoint of the segment with endpoints $E(2.5,-7)$ and $F(-6.2,-3.8)$ .

See Solution

Problem 5722

At Woodhaven High, 65% of 760 seniors are 6.0 feet tall or less. How many seniors does that equal?

See Solution

Problem 5723

Find the upper limit of the heart range for a 27-year-old, given lower limit $H=\frac{7}{10}(220-a)$ .

See Solution

Problem 5724

Calculate the total number of "Forever" stamps if you buy 5 books, each containing 20 stamps.

See Solution

Problem 5725

Find the expression for individual stamps from $F$ books of "Forever" stamps, where each book has 20 stamps. $20F$

See Solution

Problem 5726

Lina has \ $11 more than Malik. If Malik has \$10, how much does Lina have? Use$ n+11$ for Lina's amount.

See Solution

Problem 5727

Calculate the total number of "Forever" stamps when buying 3 books of 20 stamps each.

See Solution

Problem 5728

Calculate daily calories for females aged 4-8 using $F=-81 x^{2}+655 x+616$ . Does it overestimate or underestimate the graph? By how much?

See Solution

Problem 5729

Find the lower limit of heart rate $H=\frac{7}{10}(220-a)$ for a 27-year-old.

See Solution

Problem 5730

Find calories needed per day for females aged 4 to 8 using $F=-81 x^{2}+655 x+616$ . Does it overestimate or underestimate?

See Solution

Problem 5731

Tasha sells 22 clothing items for \$0.95 each. How much will she earn? Options: \$22.95, \$21.05, \$20.90, \$21.00.

See Solution

Problem 5732

Tasha sells 100 items for \$0.95 each. How much does she receive? Options: \$9.50, \$95, \$950, \$90.50.

See Solution

Problem 5733

Adrianna had 10 pieces of gum and bought 3 more. How many pieces does she have now? Calculate: $10 + 3$ .

See Solution

Problem 5734

A clock business has fixed costs of \ $7000. Find the average cost per clock for$ x=100, 1000, 10,000 $:$ \frac{0.4x + 7000}{x}$.

See Solution

Problem 5735

A number cube (1-6) is rolled. Find outcomes for these events: (a) $A$ or $B$ , (b) $A$ and $B$ , (c) complement of $A$ .

See Solution

Problem 5736

Identify the numerical data example: A. Type of house B. Color of kitchen C. Name of street D. Distance from home.

See Solution

Problem 5737

A clock manufacturer has fixed costs of \ $7000. Average cost per clock is$ \frac{0.4x + 7000}{x} $. Find average costs for$ x=100, 1000, 10,000$. Can they profit if selling at \$1.50 each while producing 2000 clocks?

See Solution

Problem 5738

In a checker puzzle, move 1 checker from blue to red side, switching colors. What’s the minimum moves needed?

See Solution

Problem 5739

In a checker game, move colors to switch sides. 1. With 1 checker each, how many moves for blue right, red left? $3 \text{ moves}$ 2. With 3 checkers each, find moves needed. 3. Estimate for 2 or 4 checkers, then test. 4. Explain how 3 checkers help with 4. 5. Estimate moves for 7 checkers each.

See Solution

Problem 5740

Which frequency count has the least dots on a dot plot: A. 5, B. 7, C. 6, D. 4?

See Solution

Problem 5741

Select a tile from A to G. Find outcomes for: (b) Event "X or Y": (c) Complement of event X.

See Solution

Problem 5742

Identify an example of discrete data: A. Temperature B. Amusement park rides C. Room area D. Distance

See Solution

Problem 5743

Find the length of each segment when a circle with radius 8 cm is divided into 16 equal parts.

See Solution

Problem 5744

Calculate calories needed for females aged 4-8 using $F=-81 x^{2}+655 x+616$ . Is this estimate vs. $F=1113$ over/under? By how much?

See Solution

Problem 5745

Find the area of a circle inscribing an 18-inch by 24-inch rectangle in square inches. Options: (A) $5 \pi$ , (B) $16 \pi$ , (C) $30 \pi$ , (D) $225 \pi$ .

See Solution

Problem 5746

How many leaves would a stem of 3 have in the stem-and-leaf plot for the data: 53, 64, 16, 93, 72, 30, 23, 48, 31, 83? A. 2 B. 3 C. 5 D. 4

See Solution

Problem 5747

A circular cake weighs 12 pounds. If wedges with a $60^{\circ}$ angle are cut, what is the weight of each wedge?

See Solution

Problem 5748

Select a letter from A to G. Find outcomes for these events: (a) Event "X and Y": (b) Event "X or Y": (c) The complement of event X.

See Solution

Problem 5749

An arc is $\frac{1}{6}$ of a circle's circumference and measures $3 \pi$ inches. Find the circle's area in square inches.

See Solution

Problem 5750

What is the population mean $\mu$ based on a sample of 32 runners from 201 total runners? A. 201 B. 32 C. Neither D. Both

See Solution

Problem 5751

Sal sells two types of socks: type $a$ for R45 and type $b$ for R30. He sold 16 pairs for R585. Find pairs of sock $b$ .

See Solution

Problem 5752

An ice cream shop aims to sell a mean of 45 cones daily. Given sales: 54, 45, 33, 39, 48, 40, 41. How many more to meet the goal? A. 35 B. 15 C. 25 D. 5

See Solution

Problem 5753

Find the value of $y$ if $H$ is the midpoint of $\overline{FG}$ with $G(4x, 6y+6)$ , $F(2y+2,2x+4)$ , and $H(4,15)$ .

See Solution

Problem 5754

Find the midpoint of the segment $AB$ with points $A(-5,-4)$ and $B(-3,3)$ .

See Solution

Problem 5755

Find the value of $k$ if the areas of rectangles $3k \times 3$ and $(k+3) \times 6$ are equal.

See Solution

Problem 5756

What is the sample mean, $\bar{x}$ , based on a sample of 23 bowlers from a population of 187? A. 23 B. Neither C. Both D. 187

See Solution

Problem 5757

Find the value of $n$ in the mean formula $\bar{x}=\frac{1}{n} \sum_{i=1}^{n} x_{i}$ for the sample: 2, 63, 88, 10, 72, 99. A. 5 B. 7 C. 6 D. 8

See Solution

Problem 5758

Find the median of a data set with 12 values. Choose: A. Mean of 5th & 6th, B. 6th, C. Mean of 6th & 7th, D. 7th.

See Solution

Problem 5759

Find the midpoint of the segment with endpoints A(1.8,-4.3) and B(-5.6,-6.5). Options: (-3.8,-10.8), (-1.9,-5.4), (3.7,5.4), (7.4,10.8).

See Solution

Problem 5760

Find the unit rate of popcorn produced by the hot air popcorn maker, which makes 14 cups in 2.5 minutes.

See Solution

Problem 5761

A. A popcorn maker produces 14 cups in 2.5 minutes.
1. Find the unit rate (cups per minute).
2. Fill in the table for minutes 0-4 and popcorn cups.
3. Graph the relationship using the table data.
4. Is there a proportional relationship between popcorn and time? Justify your answer.

See Solution

Problem 5762

Ethan rolls a 6-sided die. What's the probability of rolling a number less than 3? A. $\frac{5}{6}$ B. $\frac{1}{3}$ C. $\frac{2}{3}$ D. $\frac{1}{6}$

See Solution

Problem 5763

What is the sample space when choosing randomly from 5 balls: R, G, Y, B, O? Options: A. $\{R, G, Y, B, P\}$ B. $\{R, G, Y, B, O\}$ C. $\{\mathrm{G}, \mathrm{O}\}$ D. $\{R, G, Y, B\}$

See Solution

Problem 5764

Find the size limits for Fish $A$ as $[28, 32]$ and for Fish $B$ as $[11, \infty)$ in interval and set-builder notation.

See Solution

Problem 5765

Identify the value that cannot represent a probability: A. 0.82, B. $\frac{10}{100}$ , C. 1.001, D. $\frac{1}{16}$ .

See Solution

Problem 5766

Find the number $n$ such that $2n + 13 = 75$ . What is $n$ ?

See Solution

Problem 5767

High Desert Potteryworks needs to calculate overhead rates and costs for Job 205.
1. Find overhead rates for Molding and Painting.
2. Calculate total overhead for Job 205. 3-a. Determine total manufacturing cost for Job 205. 3-b. Find unit cost if Job 205 has 23 units.

See Solution

Problem 5768

Linda and Bob each deposit \$60,000 at 6\% interest. Find their interest for the first three years and compare who earns more.

See Solution

Problem 5769

Визначте, скільки разів цифра 1 зустрічається в натуральних числах від 1 до 40.

See Solution

Problem 5770

Three coins are flipped. Find the total outcomes, outcomes with the second coin as heads, and $P(A)=\square$ .

See Solution

Problem 5771

Convert 624 cm³ to m³.

See Solution

Problem 5772

Jim drove 290 miles in 5 hours. How far will he drive in 11 hours at the same rate? Calculate: $d = \frac{290}{5} \times 11$ .

See Solution

Problem 5773

Find the mass of sodium chloride in tonnes in Earth's seawater volume of $3.3 \times 10^{8} \mathrm{mi}^{3}$ , with $3.5\%$ by mass.

See Solution

Problem 5774

Draw a card: win \ $12 for a face card, \$6 for an ace, lose \$18 for others. Find the expected gain:$ $-9.23$ $.

See Solution

Problem 5775

You practiced 300 minutes in 6 days. What inequality for $m$ shows the minutes needed on day 7 to average 45 min/day?

See Solution

Problem 5776

Find the healthy weight $W$ for a height $H=6$ (5'6") using $\frac{W}{2}-3H=53$ . How many pounds below the upper range?

See Solution

Problem 5777

A company estimates a $0.3\%$ product failure rate after warranty, costing \ $400. If a 2-year warranty costs \$57, find the profit values$ x $, their probabilities$ P(x)$, and the expected value per warranty sold, rounded to the nearest cent.

See Solution

Problem 5778

Find the healthy weight for a person 5'6'' tall using $\frac{\mathrm{W}}{2}-3 \mathrm{H}=53$ . How many pounds below the max?

See Solution

Problem 5779

Write the expression for: The product of 7.4 and 9 decreased by 13 is $7.4 \times 9 - 13$ .

See Solution

Problem 5780

Find the blood volume for an 80-pound person, given that 200 pounds corresponds to 6 quarts. Use the proportion $\frac{6}{200} = \frac{x}{80}$ .

See Solution

Problem 5781

A quarterback throws an average of 65 yards ± 10 yards. Write equations for max and min yards thrown. $|y+10|=65$ $|y-10|=65$ $|y+65|=10$ $|y-65|=10$

See Solution

Problem 5782

Determine if a score of 77 is within 4 strokes of par 72. Use $|p - 72| \leq 4$ to analyze the score.

See Solution

Problem 5783

Identify the changes from $f(x)=|x+3|$ to $g(x)=|x-4|+2$ .

See Solution

Problem 5784

Find the dollar amount of merchandise needed for equal costs under Plan A ( $\$ 110 + 0.8x$ ) and Plan B ( $\$ 20 + 0.9x$ ).

See Solution

Problem 5785

Calculate (4 ten thousands + 4 thousands) $\times 10$ . How many thousands are in the result?

See Solution

Problem 5786

a. 5 - 8n b. 8 - 5n c. 5 - (8 + n) d. 8n - 5

See Solution

Problem 5787

A car averages 28 miles per gallon, varying by 6 to 10 mpg.
Part A: Pick a value from 6 to 10 for mpg. Write an equation for the mileage range.
Part B: Solve the equation and explain the result. Show all work.

See Solution

Problem 5788

Find $m \angle A B E$ given $m \angle A B E=(2 n+7)^{\circ}$ and $m \angle E B F=(4 n-13)^{\circ}$ . Also, find $m \angle E B H$ if $m \angle E B H=(6 x+12)^{\circ}$ and $m \angle H B C=(8 x-10)^{\circ}$ .

See Solution

Problem 5789

Calculate the $\mathrm{pH}$ for $\left[\mathrm{H}_{3} \mathrm{O}^{+}\right]=5.79 \times 10^{-4} \mathrm{M}$ .

See Solution

Problem 5790

Calculate $10 \times 5$ thousands. What is the total in thousands?

See Solution

Problem 5791

A company estimates $0.5\%$ product failure post-warranty, costing \ $150. If a 2-year warranty is \$19, find profit$ x$ values and expected value.

See Solution

Problem 5792

Calculate the pH for a solution with $\left[\mathrm{H}_{3} \mathrm{O}^{+}\right] = 1.0 \times 10^{-11} M$ .

See Solution

Problem 5793

(4 ten thousands 4 thousands) $\times 10=$ How many thousands does that equal?

See Solution

Problem 5794

Draw a card from a deck: win \$13 for a face card, \$10 for an ace, lose \$12 for others. Find the expected gain.

See Solution

Problem 5795

Dataset has 154 rows (students) and 142 columns (variables). Number of rows = 154.

See Solution

Problem 5796

Find the pH of a solution with hydronium ion concentration of $1 \times 10^{-11} M$ , considering significant figures.

See Solution

Problem 5797

Betty owes \$57,600 on a 9%, 170-day note. After payments of \$11,520 (day 60) and \$23,040 (day 70), find:
1. Balance after first payment:
2. Balance after second payment:
3. Balance at maturity:

See Solution

Problem 5798

Find the half-life of a substance decaying at $5.7\%$ per day. Round your answer to the nearest hundredth.

See Solution

Problem 5799

How long does it take for a bacteria population to double at a continuous growth rate of $1\%$ per hour? Round to the nearest hundredth.

See Solution

Problem 5800

Jocelyn's expression for hours to complete $p$ problems is $\frac{5+4p}{60}$ . How long for 22 problems?

See Solution

1 ...55 56 57 58 59 60 61 ...101

Word Problems

Problem 5701

Cameron has run 1,383 miles and wants to reach 2,000 miles. How many more miles does she need to run? 2000−13832000 - 13832000−1383

Problem 5702

Vuyisanani deposited R17 600 at a simple interest rate. At 19, it was R49 984. How much interest if rate was 2.25%2.25\%2.25% less? a. R27 954,61 b. R26 048,00 c. R32 384,00 d. R6 336,00

Problem 5703

Emily's semester grade is from 4 quizzes (15% each) and 1 final (40%). Scores: 70, 80, 85, 85. What final score for at least 82?

Problem 5704

Vuyisanani invested R16 700 at simple interest. At age 21, it grew to R47 929. If interest was 2\% less, what would he earn in 17 years? a. R26 176,57 b. R31 229,00 c. R25 551,00 d. R5 678,00

Problem 5705

Find kkk if k%k\%k% of 127 equals 32. A) 0.25 B) 0.55 C) 25 D) 55

Problem 5706

Problem 5707

Choose the false statement about binomials: A binomial has two terms. Is q5+8q−2q^{5}+8 q-2q5+8q−2 a binomial? Is q5+8qq^{5}+8 qq5+8q a binomial?

Problem 5708

What function represents the world's population P (in billions) ttt years after 1975, given a 1.9% growth rate? A) P(t)=4(1.019)tP(t)=4(1.019)^{t}P(t)=4(1.019)t B) P(t)=4(1.9)tP(t)=4(1.9)^{t}P(t)=4(1.9)t C) P(t)=1.19t+4P(t)=1.19 t+4P(t)=1.19t+4

Problem 5709

Choose the false statement about monomials: 1. A monomial is a number, variable, or product of a number and variables with whole number exponents. 2. −3x4y-3 x^{4} y−3x4y is a monomial. 3. −3x4y+2xy-3 x^{4} y + 2 x y−3x4y+2xy is a monomial.

Problem 5710

Choose the false statement about degrees of polynomials: 1. For 4x3+2x24 x^{3}+2 x^{2}4x3+2x2, the degree is 3. 2. For 2x2−5x42 x^{2}-5 x^{4}2x2−5x4, the degree is 4. 3. For −5x2+10x-5 x^{2}+10 x−5x2+10x, the degree is 3.

Problem 5711

Choose the false statement about coefficients: 1) It's the number in front of a monomial. 2) It's always a number. 3) It's the number at the end of a polynomial in standard form.

Problem 5712

Choose the false statement about polynomials: 1. A polynomial can include whole number exponents. 2. A polynomial can include only addition or subtraction. 3. A polynomial cannot include an equal sign.

Problem 5713

Model kakapo population growth with a recurrence relation. Assume 50% female, 1 egg/4 years, and 29% hatchling survival.

Problem 5714

Find the acute angle θ\thetaθ where sin⁡θ=32\sin \theta = \frac{\sqrt{3}}{2}sinθ=23​​. What is θ\thetaθ in radians?

Problem 5715

A charged ball (20.0 nC) is at the center of a hollow shell (8 cm inner, 10 cm outer). Find:(a) Inner surface charge density.(b) Outer surface charge density.(c) Electric flux through spheres of radii 5 cm, 9 cm, and 11 cm.

Problem 5716

A Grade 2 teacher plans a picnic for 30 people. Find seating rules and table counts for two patterns: 8;10;12;…8; 10; 12; \ldots8;10;12;… and 8;12;16;…8; 12; 16; \ldots8;12;16;….

Problem 5717

Write 317 million in scientific notation.

Problem 5718

If sec⁡θ=6\sec \theta=6secθ=6, find csc⁡θ\csc \thetacscθ, cot⁡θ\cot \thetacotθ, sin⁡θ\sin \thetasinθ, cos⁡θ\cos \thetacosθ, and tan⁡θ\tan \thetatanθ.

Problem 5719

Problem 5720

Which statement about a π4,π4,π2\frac{\pi}{4}, \frac{\pi}{4}, \frac{\pi}{2}4π​,4π​,2π​ triangle with hypotenuse 2\sqrt{2}2​ is true?

Problem 5721

Find the midpoint of the segment with endpoints E(2.5,−7)E(2.5,-7)E(2.5,−7) and F(−6.2,−3.8)F(-6.2,-3.8)F(−6.2,−3.8).

Problem 5722

At Woodhaven High, 65% of 760 seniors are 6.0 feet tall or less. How many seniors does that equal?

Problem 5723

Find the upper limit of the heart range for a 27-year-old, given lower limit H=710(220−a)H=\frac{7}{10}(220-a)H=107​(220−a).

Problem 5724

Calculate the total number of "Forever" stamps if you buy 5 books, each containing 20 stamps.

Problem 5725

Find the expression for individual stamps from FFF books of "Forever" stamps, where each book has 20 stamps. 20F20F20F

Problem 5726

Lina has \11morethanMalik.IfMalikhas$10,howmuchdoesLinahave?Use11 more than Malik. If Malik has \$10, how much does Lina have? Use 11morethanMalik.IfMalikhas$10,howmuchdoesLinahave?Usen+11$ for Lina's amount.

Problem 5727

Calculate the total number of "Forever" stamps when buying 3 books of 20 stamps each.

Problem 5728

Calculate daily calories for females aged 4-8 using F=−81x2+655x+616F=-81 x^{2}+655 x+616F=−81x2+655x+616. Does it overestimate or underestimate the graph? By how much?

Problem 5729

Find the lower limit of heart rate H=710(220−a)H=\frac{7}{10}(220-a)H=107​(220−a) for a 27-year-old.

Problem 5730

Find calories needed per day for females aged 4 to 8 using F=−81x2+655x+616F=-81 x^{2}+655 x+616F=−81x2+655x+616. Does it overestimate or underestimate?

Problem 5731

Tasha sells 22 clothing items for \$0.95 each. How much will she earn? Options: \$22.95, \$21.05, \$20.90, \$21.00.

Problem 5732

Tasha sells 100 items for \$0.95 each. How much does she receive? Options: \$9.50, \$95, \$950, \$90.50.

Problem 5733

Adrianna had 10 pieces of gum and bought 3 more. How many pieces does she have now? Calculate: 10+310 + 310+3.

Problem 5734

A clock business has fixed costs of \7000.Findtheaveragecostperclockfor7000. Find the average cost per clock for 7000.Findtheaveragecostperclockforx=100, 1000, 10,000:: :\frac{0.4x + 7000}{x}$.

Problem 5735

A number cube (1-6) is rolled. Find outcomes for these events: (a) AAA or BBB, (b) AAA and BBB, (c) complement of AAA.

Problem 5736

Identify the numerical data example: A. Type of house B. Color of kitchen C. Name of street D. Distance from home.

Problem 5737

Problem 5738

In a checker puzzle, move 1 checker from blue to red side, switching colors. What’s the minimum moves needed?

Problem 5739

Problem 5740

Which frequency count has the least dots on a dot plot: A. 5, B. 7, C. 6, D. 4?

Problem 5741

Select a tile from A to G. Find outcomes for: (b) Event "X or Y": (c) Complement of event X.

Problem 5742

Cameron has run 1,383 miles and wants to reach 2,000 miles. How many more miles does she need to run? $2000 - 1383$

Vuyisanani deposited R17 600 at a simple interest rate. At 19, it was R49 984. How much interest if rate was $2.25\%$ less? a. R27 954,61 b. R26 048,00 c. R32 384,00 d. R6 336,00

Find $k$ if $k\%$ of 127 equals 32. A) 0.25 B) 0.55 C) 25 D) 55

Choose the false statement about binomials: A binomial has two terms. Is $q^{5}+8 q-2$ a binomial? Is $q^{5}+8 q$ a binomial?

What function represents the world's population P (in billions) $t$ years after 1975, given a 1.9% growth rate? A) $P(t)=4(1.019)^{t}$ B) $P(t)=4(1.9)^{t}$ C) $P(t)=1.19 t+4$

Choose the false statement about monomials:
1. A monomial is a number, variable, or product of a number and variables with whole number exponents.
2. $-3 x^{4} y$ is a monomial.
3. $-3 x^{4} y + 2 x y$ is a monomial.

Choose the false statement about degrees of polynomials:
1. For $4 x^{3}+2 x^{2}$ , the degree is 3.
2. For $2 x^{2}-5 x^{4}$ , the degree is 4.
3. For $-5 x^{2}+10 x$ , the degree is 3.

Choose the false statement about polynomials:
1. A polynomial can include whole number exponents.
2. A polynomial can include only addition or subtraction.
3. A polynomial cannot include an equal sign.

Find the acute angle $\theta$ where $\sin \theta = \frac{\sqrt{3}}{2}$ . What is $\theta$ in radians?

A charged ball (20.0 nC) is at the center of a hollow shell (8 cm inner, 10 cm outer). Find:
(a) Inner surface charge density.
(b) Outer surface charge density.
(c) Electric flux through spheres of radii 5 cm, 9 cm, and 11 cm.

A Grade 2 teacher plans a picnic for 30 people. Find seating rules and table counts for two patterns: $8; 10; 12; \ldots$ and $8; 12; 16; \ldots$ .

If $\sec \theta=6$ , find $\csc \theta$ , $\cot \theta$ , $\sin \theta$ , $\cos \theta$ , and $\tan \theta$ .

Which statement about a $\frac{\pi}{4}, \frac{\pi}{4}, \frac{\pi}{2}$ triangle with hypotenuse $\sqrt{2}$ is true?

Find the midpoint of the segment with endpoints $E(2.5,-7)$ and $F(-6.2,-3.8)$ .

Find the upper limit of the heart range for a 27-year-old, given lower limit $H=\frac{7}{10}(220-a)$ .

Find the expression for individual stamps from $F$ books of "Forever" stamps, where each book has 20 stamps. $20F$

Lina has \ $11 more than Malik. If Malik has \$10, how much does Lina have? Use$ n+11$ for Lina's amount.

Calculate daily calories for females aged 4-8 using $F=-81 x^{2}+655 x+616$ . Does it overestimate or underestimate the graph? By how much?

Find the lower limit of heart rate $H=\frac{7}{10}(220-a)$ for a 27-year-old.

Find calories needed per day for females aged 4 to 8 using $F=-81 x^{2}+655 x+616$ . Does it overestimate or underestimate?

Adrianna had 10 pieces of gum and bought 3 more. How many pieces does she have now? Calculate: $10 + 3$ .

A clock business has fixed costs of \ $7000. Find the average cost per clock for$ x=100, 1000, 10,000 $:$ \frac{0.4x + 7000}{x}$.

A number cube (1-6) is rolled. Find outcomes for these events: (a) $A$ or $B$ , (b) $A$ and $B$ , (c) complement of $A$ .

Calculate calories needed for females aged 4-8 using $F=-81 x^{2}+655 x+616$ . Is this estimate vs. $F=1113$ over/under? By how much?

Find the area of a circle inscribing an 18-inch by 24-inch rectangle in square inches. Options: (A) $5 \pi$ , (B) $16 \pi$ , (C) $30 \pi$ , (D) $225 \pi$ .

A circular cake weighs 12 pounds. If wedges with a $60^{\circ}$ angle are cut, what is the weight of each wedge?

An arc is $\frac{1}{6}$ of a circle's circumference and measures $3 \pi$ inches. Find the circle's area in square inches.

What is the population mean $\mu$ based on a sample of 32 runners from 201 total runners? A. 201 B. 32 C. Neither D. Both

Sal sells two types of socks: type $a$ for R45 and type $b$ for R30. He sold 16 pairs for R585. Find pairs of sock $b$ .

Find the value of $y$ if $H$ is the midpoint of $\overline{FG}$ with $G(4x, 6y+6)$ , $F(2y+2,2x+4)$ , and $H(4,15)$ .

Find the midpoint of the segment $AB$ with points $A(-5,-4)$ and $B(-3,3)$ .

Find the value of $k$ if the areas of rectangles $3k \times 3$ and $(k+3) \times 6$ are equal.

What is the sample mean, $\bar{x}$ , based on a sample of 23 bowlers from a population of 187? A. 23 B. Neither C. Both D. 187

Find the value of $n$ in the mean formula $\bar{x}=\frac{1}{n} \sum_{i=1}^{n} x_{i}$ for the sample: 2, 63, 88, 10, 72, 99. A. 5 B. 7 C. 6 D. 8

A. A popcorn maker produces 14 cups in 2.5 minutes.
1. Find the unit rate (cups per minute).
2. Fill in the table for minutes 0-4 and popcorn cups.
3. Graph the relationship using the table data.
4. Is there a proportional relationship between popcorn and time? Justify your answer.

Ethan rolls a 6-sided die. What's the probability of rolling a number less than 3? A. $\frac{5}{6}$ B. $\frac{1}{3}$ C. $\frac{2}{3}$ D. $\frac{1}{6}$

What is the sample space when choosing randomly from 5 balls: R, G, Y, B, O? Options: A. $\{R, G, Y, B, P\}$ B. $\{R, G, Y, B, O\}$ C. $\{\mathrm{G}, \mathrm{O}\}$ D. $\{R, G, Y, B\}$

Find the size limits for Fish $A$ as $[28, 32]$ and for Fish $B$ as $[11, \infty)$ in interval and set-builder notation.

Identify the value that cannot represent a probability: A. 0.82, B. $\frac{10}{100}$ , C. 1.001, D. $\frac{1}{16}$ .

Find the number $n$ such that $2n + 13 = 75$ . What is $n$ ?

High Desert Potteryworks needs to calculate overhead rates and costs for Job 205.
1. Find overhead rates for Molding and Painting.
2. Calculate total overhead for Job 205. 3-a. Determine total manufacturing cost for Job 205. 3-b. Find unit cost if Job 205 has 23 units.

Three coins are flipped. Find the total outcomes, outcomes with the second coin as heads, and $P(A)=\square$ .

Jim drove 290 miles in 5 hours. How far will he drive in 11 hours at the same rate? Calculate: $d = \frac{290}{5} \times 11$ .

Find the mass of sodium chloride in tonnes in Earth's seawater volume of $3.3 \times 10^{8} \mathrm{mi}^{3}$ , with $3.5\%$ by mass.

Draw a card: win \ $12 for a face card, \$6 for an ace, lose \$18 for others. Find the expected gain:$ $-9.23$ $.