Solve

Problem 22601

A car drives at 70 km/h. How far in meters does it travel in 2 seconds? Round to the nearest meter.

See Solution

Problem 22602

Solve for $x$ in the equation $e^{3 x}=e^{2 x+4}$ .

See Solution

Problem 22603

How much do lemons cost to make four 9-inch pies needing half a cup of juice each, if they are \$0.55 each?

See Solution

Problem 22604

Find the midpoint $M$ of the segment with endpoints $R(2,4)$ and $S(-1,7)$ .

See Solution

Problem 22605

Solve for $x$ in the equation: $-3 x + 4 = -8 x - 26$ .

See Solution

Problem 22606

Solve for $x$ in the equation $(\sqrt{3})^{x}=243$ .

See Solution

Problem 22607

Solve the equation: $-7 x + 6 = -9 x - 2$ .

See Solution

Problem 22608

Calculate the usual dose of Ibuprofen in mg for an 18-month-old child weighing 26 pounds, using 5 mg/kg. Round to the nearest mg.

See Solution

Problem 22609

A 129-page report needs 16 copies. Calculate the paper cost for printing using reams (500 pages) at \$3.72 each. Round to the nearest cent.

See Solution

Problem 22610

Find the value of $x$ in the equation $x^{10}=10^{60}$ .

See Solution

Problem 22611

Find $x$ for $f(x)=17x-18$ when $f(x)=33$ . Options: (A) 7, (B) 3, (C) 4.

See Solution

Problem 22612

Rafael wants to save for his daughter's college by depositing yearly in an annuity with $7.2\%$ interest. How much must he deposit each year to reach a total of \$72,000 in 14 years? Round the final answer to the nearest cent.

See Solution

Problem 22613

Convert the wavelength of light, $8 \times 10^{-2}$ meter, into decimal form: $8 \times 10^{-2} \text{ meter }=\square \text{ meter }$

See Solution

Problem 22614

Convert $3.262 \times 10^{3}$ into standard form. What is $3.262 \times 10^{3}=$ ? (Enter as an integer or decimal.)

See Solution

Problem 22615

Find the value of $5^{2 \log_{36}(6)}$ without a calculator.

See Solution

Problem 22616

Solve the inequality: $2 + 2x < -4$ .

See Solution

Problem 22617

Find the class width for 7 classes with a frequency range of 19 to 285 and data range of 266.

See Solution

Problem 22618

Find the percent change in CPI from 1995 (160) to 2000 (171). Use the formula: $\text{Percent Change} = \frac{(171 - 160)}{160} \times 100$ . Round to the nearest tenth.

See Solution

Problem 22619

Find the line equation through $(-4,-32)$ with slope $m=9$ in standard form $Ax + By = C$ .

See Solution

Problem 22620

Calculate $\frac{2.4^{3}}{\sqrt{5+\pi}-1}$ and round to the nearest thousandth.

See Solution

Problem 22621

Calculate $\frac{2.4^{3}}{\sqrt{5+\pi}-1}$ and round to the nearest thousandth.

See Solution

Problem 22622

Solve for $x$ : $12 e^{-5 x}=2$ . Provide the exact answer using symbolic notation and fractions.

See Solution

Problem 22623

The plumber charges a flat rate of \$50 plus \$28 per hour. If the bill was \$134, how long did he work?

See Solution

Problem 22624

Solve $7ax + 8ax = 9ax + 6$ for $x$ , given that $a \neq 0$ .

See Solution

Problem 22625

Dimos bikes 144 miles a day for 5 days. Calculate total miles: $144 \times 5$ .

See Solution

Problem 22626

Resuelve las siguientes operaciones:
1. $\frac{2}{7}-1=$
2. $\frac{1}{2}-\frac{2}{3}+\frac{3}{4}=$
3. $\left(\frac{2}{7}\right)(-4)=$
4. $\left(-\frac{3}{5}\right)\left(\frac{2}{7}\right)\left(-\frac{1}{2}\right)=$
5. $\frac{-\frac{1}{4}}{-\frac{1}{5}}=$
6. $\frac{-\frac{3}{7}}{8}=$

See Solution

Problem 22627

Solve $e^{6t+3}=5e^{3-t}$ for $t$ using exact answers and fractions.

See Solution

Problem 22628

Find the percent change from $A$ to $B$ and from $B$ to $A$ for $A=\$ 1.23$ and $B=\$ 1.50$ .

See Solution

Problem 22629

Desiree swims for 25 minutes daily. How many total minutes does she swim in 14 days? Calculate: $25 \times 14$ .

See Solution

Problem 22630

Solve for $x$ : $\log _{3}(x) + 5 \log _{3}(x^{7}) = 17$ .

See Solution

Problem 22631

Solve the inequality: $-8x - 6 > -62$

See Solution

Problem 22632

Calculate $\frac{1.8^{3}}{\sqrt{4+\pi}-2}$ and round your answer to the nearest thousandth.

See Solution

Problem 22633

Find the molar concentration in mol/L using mass density 2.40 g/mL and molar mass 116.86 g/mol:
$\frac{(2.40 \, \text{g/mL}) \cdot (1 \, \text{mL}/10^{-3} \, \text{L})}{(116.86 \, \text{g/mol})}$

See Solution

Problem 22634

Find the inverse of the function $y=e^{14 x-3}$ .

See Solution

Problem 22635

Solve for $c$ in the equation $3(2 c + 3 c) = 60$ .

See Solution

Problem 22636

Find the volume of a rectangular prism using $V=\ell \times w \times h$ with $\ell=6$ , $w=4$ , $h=9$ . What is $V$ ?

See Solution

Problem 22637

How many cabins are full with 148 campers if each cabin holds 28 campers? Use $n = \frac{148}{28}$ .

See Solution

Problem 22638

Find the volume of a rectangular prism using $V=\ell \times w \times h$ , where $\ell=6$ , $w=4$ , $h=9$ . What is $V$ ?

See Solution

Problem 22639

Jack's fishing gear cost \$6.79. What is the total cost including 7% sales tax?

See Solution

Problem 22640

Find the inverse of $y=\ln \left(x^{8}-2\right)$ for $x>2^{1/8}$ .

See Solution

Problem 22641

Calculate the volume of a rectangular prism with dimensions $4 \times 4 \times 4$ .

See Solution

Problem 22642

A 4x6 inch map (24 sq in) needs to fit in a brochure with an area of 6 sq in. What scale is needed? Show your work.

See Solution

Problem 22643

Find the volume of a rectangular prism toy chest that is 4 ft long, 2 ft wide, and 2 ft tall. Use $V = l \times w \times h$ .

See Solution

Problem 22644

Find $x$ such that $a^x = b$ given $4\sqrt{a} = 9\sqrt[3]{b}$ and $a=\frac{2}{3}$ .

See Solution

Problem 22645

Find the volume of a solid with a circular base radius 4 and square cross-sections perpendicular to the $x$ -axis.

See Solution

Problem 22646

Solve for $\theta$ and $t$ in the equation $\omega=\frac{\theta}{t}$ .

See Solution

Problem 22647

Calculate the quotients and verify your results: 10. $3.38 \div 2.6=$ , 11. $6.12 \div 1.53=$ .

See Solution

Problem 22648

Calculate $0.63 \div 0.9$ .

See Solution

Problem 22649

Calculate the total number of license plates with 2 letters and 5 digits. Use the formula: $26^2 \times 10^5$ .

See Solution

Problem 22650

Convert $6 \frac{7}{8}$ to an improper fraction in three different methods.

See Solution

Problem 22651

How many ways can you choose 2 characters from 8 volunteers for a play? Answer: $C(8, 2)$ .

See Solution

Problem 22652

Find the ratio ( $a: b$ ) of the Perimeter to the Area of a rectangle with sides 2.5 in and 4.25 in.

See Solution

Problem 22653

How many ways can 5 players be selected from 25 for a basketball game? Use the formula for combinations: $\binom{25}{5}$ .

See Solution

Problem 22654

What is the probability that Izaiah pulls a Starburst that is not green from a bag of 25 candies with 6 green ones?

See Solution

Problem 22655

Solve for $x$ : $16^{-x}=4^{x+2}$

See Solution

Problem 22656

How many different car choices are there with 3 body styles, 2 colors, and 3 models? Calculate: $3 \times 2 \times 3$ .

See Solution

Problem 22657

Find the volume of a clubhouse made of $n$ cubes, each with side length $a$ . Use the formula for volume.

See Solution

Problem 22658

Find the largest angle in a triangle with angles in the ratio $1:2:9$ .

See Solution

Problem 22659

Solve for $x$ in the equation $x^{9}=10^{54}$ .

See Solution

Problem 22660

Find $a$ from the equation $c=8 \pi a b$ .

See Solution

Problem 22661

Solve for $c$ in the equation $a(b-c)=d$ .

See Solution

Problem 22662

Find the value of $\square$ in the equation $(38 \mathrm{cm}^3) \cdot \square = ? \mathrm{m}^3$ .

See Solution

Problem 22663

Find the value of $x$ in the equation $x^{3 / 2} = 8$ .

See Solution

Problem 22664

Find the volume-to-surface area ratio for volume $30 \, \text{cm}^3$ and surface area $62 \, \text{cm}^2$ as a reduced fraction.

See Solution

Problem 22665

Solve for $q$ in the equation $s=4p+4q$ .

See Solution

Problem 22666

How many ways can you choose 5 toppings from 11 options at a deli? Use the formula for combinations: $C(n, r) = \frac{n!}{r!(n-r)!}$ .

See Solution

Problem 22667

Solve for height $h$ in the trapezoid area formula $A=\frac{1}{2} h(a+b)$ .

See Solution

Problem 22668

Kasi has 136 bricks for a patio with 8 equal rows. How many bricks per row? Solve: $x = \frac{136}{8}$ .

See Solution

Problem 22669

Calculate the number of ways to award gold, silver, and bronze medals to 8 sprinters in a 100-meter race.

See Solution

Problem 22670

Find $w$ in the perimeter formula $P=2(l+w)$ . Options: $w=\frac{P}{2}+l$ , $w=\frac{P}{2}-l$ , $w=2P-l$ , $w=\frac{P-l}{2}$ .

See Solution

Problem 22671

Guadalupe bought a 6-pack of Mt. Dew for \$7.14. What is the unit price per can?

See Solution

Problem 22672

A pianist has 8 pieces for a recital. How many ways can she arrange them? Your answer is: $8!$

See Solution

Problem 22673

In how many ways can 8 runners finish in 1st, 2nd, and 3rd places in an 800 meter race?

See Solution

Problem 22674

How many ways can a student choose 3 classes from 8 needed classes to graduate? Use combinations: ${8 \choose 3}$ .

See Solution

Problem 22675

Find the value of $\log _{3}\left(\frac{1}{9}\right)$ without a calculator.

See Solution

Problem 22676

How many ways can 5 runners finish a race without ties? Your answer is: $5!$

See Solution

Problem 22677

Round 4,827 to the nearest ten.

See Solution

Problem 22678

Javier has 9 Judy Moody books. How many ways can he arrange them on his shelf? Answer: $9!$

See Solution

Problem 22679

How many ways can you choose 3 students from a class of 22? Use the formula for combinations: $\binom{22}{3}$ .

See Solution

Problem 22680

Round 4,827 to the nearest ten, hundred, and thousand.

See Solution

Problem 22681

How many different pizzas can you create with 4 crusts, 3 cheeses, 6 meats, and 4 veggies if you choose 1 of each?

See Solution

Problem 22682

Choose 4 toppings from 12. How many combinations are there? Answer: $\binom{12}{4}$

See Solution

Problem 22683

Evaluate the integral using substitution and partial fractions: $\int \frac{1}{x \sqrt{x+1}} d x$ .

See Solution

Problem 22684

A designer has 7 colors for a flag with 2 vertical stripes of different colors. How many flags can be made?

See Solution

Problem 22685

Find the expression value for $x=-6$ and $y=-\frac{1}{2}$ : $4(x^{2}+3)-2y$ . A. -131 B. -35 C. $57\%$ D. 157

See Solution

Problem 22686

How many ways can you choose 3 books from 9? Your answer is: $\binom{9}{3}$

See Solution

Problem 22687

What is 2,653 rounded to the nearest hundred?

See Solution

Problem 22688

Nico spends \$5.76 on tomatoes at \$3.20 per pound. How many pounds did he buy?

See Solution

Problem 22689

How many ways can you award first, second, and third prizes among 605 contestants? Your answer is: $605 \times 604 \times 603$

See Solution

Problem 22690

What is the value of the 7 in 738,499? A. 700 B. 7,000 C. 70,000 D. 700,000

See Solution

Problem 22691

How many ways can a person choose 4 different bags of chips from 12 varieties? Use the combination formula: $\binom{12}{4}$ .

See Solution

Problem 22692

Which number completes this? $300,000 + \ldots + 4,000 + 800 + 90 + 2 = 364,890$ . A. 60,000 B. 6,000 C. 600

See Solution

Problem 22693

How many different outcomes are possible when rolling three different colored four-sided dice?

See Solution

Problem 22694

Find the value of $\frac{a+2bc}{3a}$ for $a=4$ , $b=-5$ , and $c=-7$ . Choices: A. $-5 \frac{1}{2}$ B. $-1 \frac{2}{3}$ C. $6 \frac{1}{6}$ D. 171

See Solution

Problem 22695

Find the missing probability $P(3)$ in the distribution where $P(0) = 0.2$ , $P(1) = 0.45$ , $P(2) = 0.3$ .

See Solution

Problem 22696

What is the standard form of the number $30,000 + 5,000 + 700 + 9$ ?

See Solution

Problem 22697

How many hours must you work at \$6.15/hour to earn at least \$100?

See Solution

Problem 22698

How many hours at \$6.15/hour do you need to work to earn at least \$100?

See Solution

Problem 22699

Find the value of $\ln(e^{4}) + \ln(e^{5}) + \ln(e^{6})$ as a whole number.

See Solution

Problem 22700

Graph the system of equations: $y=-\frac{1}{2} x+5$ and $y=\frac{1}{2} x+6$ . Determine the solution type.

See Solution

1 ...224 225 226 227 228 229 230 ...307

Solve

Problem 22601

A car drives at 70 km/h. How far in meters does it travel in 2 seconds? Round to the nearest meter.

Problem 22602

Solve for xxx in the equation e3x=e2x+4e^{3 x}=e^{2 x+4}e3x=e2x+4.

Problem 22603

How much do lemons cost to make four 9-inch pies needing half a cup of juice each, if they are \$0.55 each?

Problem 22604

Find the midpoint MMM of the segment with endpoints R(2,4)R(2,4)R(2,4) and S(−1,7)S(-1,7)S(−1,7).

Problem 22605

Solve for xxx in the equation: −3x+4=−8x−26-3 x + 4 = -8 x - 26−3x+4=−8x−26.

Problem 22606

Solve for xxx in the equation (3)x=243(\sqrt{3})^{x}=243(3​)x=243.

Problem 22607

Solve the equation: −7x+6=−9x−2-7 x + 6 = -9 x - 2−7x+6=−9x−2.

Problem 22608

Calculate the usual dose of Ibuprofen in mg for an 18-month-old child weighing 26 pounds, using 5 mg/kg. Round to the nearest mg.

Problem 22609

A 129-page report needs 16 copies. Calculate the paper cost for printing using reams (500 pages) at \$3.72 each. Round to the nearest cent.

Problem 22610

Find the value of xxx in the equation x10=1060x^{10}=10^{60}x10=1060.

Problem 22611

Find xxx for f(x)=17x−18f(x)=17x-18f(x)=17x−18 when f(x)=33f(x)=33f(x)=33. Options: (A) 7, (B) 3, (C) 4.

Problem 22612

Rafael wants to save for his daughter's college by depositing yearly in an annuity with 7.2%7.2\%7.2% interest. How much must he deposit each year to reach a total of \$72,000 in 14 years? Round the final answer to the nearest cent.

Problem 22613

Convert the wavelength of light, 8×10−28 \times 10^{-2}8×10−2 meter, into decimal form: 8×10−2 meter =□ meter 8 \times 10^{-2} \text{ meter }=\square \text{ meter }8×10−2 meter =□ meter

Problem 22614

Convert 3.262×1033.262 \times 10^{3}3.262×103 into standard form. What is 3.262×103=3.262 \times 10^{3}=3.262×103=? (Enter as an integer or decimal.)

Problem 22615

Find the value of 52log⁡36(6)5^{2 \log_{36}(6)}52log36​(6) without a calculator.

Problem 22616

Solve the inequality: 2+2x<−42 + 2x < -42+2x<−4.

Problem 22617

Find the class width for 7 classes with a frequency range of 19 to 285 and data range of 266.

Problem 22618

Find the percent change in CPI from 1995 (160) to 2000 (171). Use the formula: Percent Change=(171−160)160×100\text{Percent Change} = \frac{(171 - 160)}{160} \times 100Percent Change=160(171−160)​×100. Round to the nearest tenth.

Problem 22619

Find the line equation through (−4,−32)(-4,-32)(−4,−32) with slope m=9m=9m=9 in standard form Ax+By=CAx + By = CAx+By=C.

Problem 22620

Calculate 2.435+π−1\frac{2.4^{3}}{\sqrt{5+\pi}-1}5+π​−12.43​ and round to the nearest thousandth.

Problem 22621

Calculate 2.435+π−1\frac{2.4^{3}}{\sqrt{5+\pi}-1}5+π​−12.43​ and round to the nearest thousandth.

Problem 22622

Solve for xxx: 12e−5x=212 e^{-5 x}=212e−5x=2. Provide the exact answer using symbolic notation and fractions.

Problem 22623

The plumber charges a flat rate of \$50 plus \$28 per hour. If the bill was \$134, how long did he work?

Problem 22624

Solve 7ax+8ax=9ax+67ax + 8ax = 9ax + 67ax+8ax=9ax+6 for xxx, given that a≠0a \neq 0a=0.

Problem 22625

Dimos bikes 144 miles a day for 5 days. Calculate total miles: 144×5144 \times 5144×5.

Problem 22626

Problem 22627

Solve e6t+3=5e3−te^{6t+3}=5e^{3-t}e6t+3=5e3−t for ttt using exact answers and fractions.

Problem 22628

Find the percent change from AAA to BBB and from BBB to AAA for A=$1.23A=\$ 1.23A=$1.23 and B=$1.50B=\$ 1.50B=$1.50.

Problem 22629

Desiree swims for 25 minutes daily. How many total minutes does she swim in 14 days? Calculate: 25×1425 \times 1425×14.

Problem 22630

Solve for xxx: log⁡3(x)+5log⁡3(x7)=17\log _{3}(x) + 5 \log _{3}(x^{7}) = 17log3​(x)+5log3​(x7)=17.

Problem 22631

Solve the inequality: −8x−6>−62-8x - 6 > -62−8x−6>−62

Problem 22632

Calculate 1.834+π−2\frac{1.8^{3}}{\sqrt{4+\pi}-2}4+π​−21.83​ and round your answer to the nearest thousandth.

Problem 22633

Find the molar concentration in mol/L using mass density 2.40 g/mL and molar mass 116.86 g/mol: (2.40 g/mL)⋅(1 mL/10−3 L)(116.86 g/mol) \frac{(2.40 \, \text{g/mL}) \cdot (1 \, \text{mL}/10^{-3} \, \text{L})}{(116.86 \, \text{g/mol})} (116.86g/mol)(2.40g/mL)⋅(1mL/10−3L)​

Problem 22634

Find the inverse of the function y=e14x−3y=e^{14 x-3}y=e14x−3.

Problem 22635

Solve for ccc in the equation 3(2c+3c)=603(2 c + 3 c) = 603(2c+3c)=60.

Problem 22636

Find the volume of a rectangular prism using V=ℓ×w×hV=\ell \times w \times hV=ℓ×w×h with ℓ=6\ell=6ℓ=6, w=4w=4w=4, h=9h=9h=9. What is VVV?

Problem 22637

How many cabins are full with 148 campers if each cabin holds 28 campers? Use n=14828n = \frac{148}{28}n=28148​.

Problem 22638

Find the volume of a rectangular prism using V=ℓ×w×hV=\ell \times w \times hV=ℓ×w×h, where ℓ=6\ell=6ℓ=6, w=4w=4w=4, h=9h=9h=9. What is VVV?

Problem 22639

Jack's fishing gear cost \$6.79. What is the total cost including 7% sales tax?

Problem 22640

Find the inverse of y=ln⁡(x8−2)y=\ln \left(x^{8}-2\right)y=ln(x8−2) for x>21/8x>2^{1/8}x>21/8.

Solve for $x$ in the equation $e^{3 x}=e^{2 x+4}$ .

Find the midpoint $M$ of the segment with endpoints $R(2,4)$ and $S(-1,7)$ .

Solve for $x$ in the equation: $-3 x + 4 = -8 x - 26$ .

Solve for $x$ in the equation $(\sqrt{3})^{x}=243$ .

Solve the equation: $-7 x + 6 = -9 x - 2$ .

Find the value of $x$ in the equation $x^{10}=10^{60}$ .

Find $x$ for $f(x)=17x-18$ when $f(x)=33$ . Options: (A) 7, (B) 3, (C) 4.

Rafael wants to save for his daughter's college by depositing yearly in an annuity with $7.2\%$ interest. How much must he deposit each year to reach a total of \$72,000 in 14 years? Round the final answer to the nearest cent.

Convert the wavelength of light, $8 \times 10^{-2}$ meter, into decimal form: $8 \times 10^{-2} \text{ meter }=\square \text{ meter }$

Convert $3.262 \times 10^{3}$ into standard form. What is $3.262 \times 10^{3}=$ ? (Enter as an integer or decimal.)

Find the value of $5^{2 \log_{36}(6)}$ without a calculator.

Solve the inequality: $2 + 2x < -4$ .

Find the percent change in CPI from 1995 (160) to 2000 (171). Use the formula: $\text{Percent Change} = \frac{(171 - 160)}{160} \times 100$ . Round to the nearest tenth.

Find the line equation through $(-4,-32)$ with slope $m=9$ in standard form $Ax + By = C$ .

Calculate $\frac{2.4^{3}}{\sqrt{5+\pi}-1}$ and round to the nearest thousandth.

Calculate $\frac{2.4^{3}}{\sqrt{5+\pi}-1}$ and round to the nearest thousandth.

Solve for $x$ : $12 e^{-5 x}=2$ . Provide the exact answer using symbolic notation and fractions.

Solve $7ax + 8ax = 9ax + 6$ for $x$ , given that $a \neq 0$ .

Dimos bikes 144 miles a day for 5 days. Calculate total miles: $144 \times 5$ .

Solve $e^{6t+3}=5e^{3-t}$ for $t$ using exact answers and fractions.

Find the percent change from $A$ to $B$ and from $B$ to $A$ for $A=\$ 1.23$ and $B=\$ 1.50$ .

Desiree swims for 25 minutes daily. How many total minutes does she swim in 14 days? Calculate: $25 \times 14$ .

Solve for $x$ : $\log _{3}(x) + 5 \log _{3}(x^{7}) = 17$ .

Solve the inequality: $-8x - 6 > -62$

Calculate $\frac{1.8^{3}}{\sqrt{4+\pi}-2}$ and round your answer to the nearest thousandth.

Find the molar concentration in mol/L using mass density 2.40 g/mL and molar mass 116.86 g/mol:
$\frac{(2.40 \, \text{g/mL}) \cdot (1 \, \text{mL}/10^{-3} \, \text{L})}{(116.86 \, \text{g/mol})}$

Find the inverse of the function $y=e^{14 x-3}$ .

Solve for $c$ in the equation $3(2 c + 3 c) = 60$ .

Find the volume of a rectangular prism using $V=\ell \times w \times h$ with $\ell=6$ , $w=4$ , $h=9$ . What is $V$ ?

How many cabins are full with 148 campers if each cabin holds 28 campers? Use $n = \frac{148}{28}$ .

Find the volume of a rectangular prism using $V=\ell \times w \times h$ , where $\ell=6$ , $w=4$ , $h=9$ . What is $V$ ?

Find the inverse of $y=\ln \left(x^{8}-2\right)$ for $x>2^{1/8}$ .

Calculate the volume of a rectangular prism with dimensions $4 \times 4 \times 4$ .

Find the volume of a rectangular prism toy chest that is 4 ft long, 2 ft wide, and 2 ft tall. Use $V = l \times w \times h$ .

Find $x$ such that $a^x = b$ given $4\sqrt{a} = 9\sqrt[3]{b}$ and $a=\frac{2}{3}$ .

Find the volume of a solid with a circular base radius 4 and square cross-sections perpendicular to the $x$ -axis.

Solve for $\theta$ and $t$ in the equation $\omega=\frac{\theta}{t}$ .

Calculate the quotients and verify your results: 10. $3.38 \div 2.6=$ , 11. $6.12 \div 1.53=$ .

Calculate $0.63 \div 0.9$ .

Calculate the total number of license plates with 2 letters and 5 digits. Use the formula: $26^2 \times 10^5$ .

Convert $6 \frac{7}{8}$ to an improper fraction in three different methods.

How many ways can you choose 2 characters from 8 volunteers for a play? Answer: $C(8, 2)$ .

Find the ratio ( $a: b$ ) of the Perimeter to the Area of a rectangle with sides 2.5 in and 4.25 in.

How many ways can 5 players be selected from 25 for a basketball game? Use the formula for combinations: $\binom{25}{5}$ .

Solve for $x$ : $16^{-x}=4^{x+2}$

How many different car choices are there with 3 body styles, 2 colors, and 3 models? Calculate: $3 \times 2 \times 3$ .

Find the volume of a clubhouse made of $n$ cubes, each with side length $a$ . Use the formula for volume.

Find the largest angle in a triangle with angles in the ratio $1:2:9$ .

Solve for $x$ in the equation $x^{9}=10^{54}$ .

Find $a$ from the equation $c=8 \pi a b$ .

Solve for $c$ in the equation $a(b-c)=d$ .

Find the value of $\square$ in the equation $(38 \mathrm{cm}^3) \cdot \square = ? \mathrm{m}^3$ .

Find the value of $x$ in the equation $x^{3 / 2} = 8$ .

Find the volume-to-surface area ratio for volume $30 \, \text{cm}^3$ and surface area $62 \, \text{cm}^2$ as a reduced fraction.

Solve for $q$ in the equation $s=4p+4q$ .

How many ways can you choose 5 toppings from 11 options at a deli? Use the formula for combinations: $C(n, r) = \frac{n!}{r!(n-r)!}$ .

Solve for height $h$ in the trapezoid area formula $A=\frac{1}{2} h(a+b)$ .

Kasi has 136 bricks for a patio with 8 equal rows. How many bricks per row? Solve: $x = \frac{136}{8}$ .

Find $w$ in the perimeter formula $P=2(l+w)$ . Options: $w=\frac{P}{2}+l$ , $w=\frac{P}{2}-l$ , $w=2P-l$ , $w=\frac{P-l}{2}$ .

A pianist has 8 pieces for a recital. How many ways can she arrange them? Your answer is: $8!$

How many ways can a student choose 3 classes from 8 needed classes to graduate? Use combinations: ${8 \choose 3}$ .