Equation

Problem 11601

Express $81^{2 x}$ and $27^{3 y}$ as powers of 3, then find the ratio $x:y$ if they are equal.

See Solution

Problem 11602

Given $2^{x}=16$ and $2^{y}=64$ , find: (a) $2^{x+y}$ , (b) $2^{x-y}$ , (c) $xy$ .

See Solution

Problem 11603

In triangle $ABC$ , with $AB \parallel AC$ , if $\angle BAC = 5x$ and $\angle ABC = 2x$ , find $x$ .

See Solution

Problem 11604

Calculate the BMI for a weight of $54 \mathrm{~kg}$ and a height of $1.42 \mathrm{~m}$ .

See Solution

Problem 11605

Calculate the BMI for a weight of $42 \mathrm{~kg}$ and a height of $1.48 \mathrm{~m}$ .

See Solution

Problem 11606

Find the limit: $\lim _{x \rightarrow-\infty} \frac{x^{6}-3 x^{4}}{2 x^{2}-2 x+1}$ .

See Solution

Problem 11607

An oil spill spreads 25 m² every $\frac{1}{6}$ hour. What is the total area after 2 hours?

See Solution

Problem 11608

In triangle $ABC$ , with points $D$ on $AB$ and $E$ on $BC$ , find angles given $\angle ABC=28^{\circ}$ , $\angle BED=38^{\circ}$ .
(a) Find $\angle ACD$ . (b) Express $\angle DFE$ in terms of $\theta$ where $\angle CAE=\theta$ .

See Solution

Problem 11609

Calculate the BMI for a person weighing $56 \, \text{kg}$ and measuring $1.42 \, \text{m}$ tall.

See Solution

Problem 11610

Find the distance a train travels in 3 hours if it goes 10 miles every $\frac{1}{4}$ hour.

See Solution

Problem 11611

There are 180 white lockers and a ratio of 3:5 with blue lockers. Find the total number of lockers in the school.

See Solution

Problem 11612

What is the probability of seeing both a butterfly (80%) and a turtle (40%) during a nature center tour?

See Solution

Problem 11613

An oil spill spreads 25 m² every $\frac{1}{6}$ hour. What is the area after 2 hours?

See Solution

Problem 11614

Estimate the number of employees out of 600 who read at least one book each month if $x$ out of 50 do.

See Solution

Problem 11615

There are 180 white lockers. If there are 3 white lockers for every 5 blue lockers, how many total lockers are there?

See Solution

Problem 11616

Prove that $\frac{AC}{AE}=\frac{\cos \phi}{\cos \theta}$ for rectangle $ABCD$ with point $E$ on $BC$ .

See Solution

Problem 11617

Étudiez le cas où $\mathbf{b}_{1}=\mathbf{b}_{2}=\mathbf{b}$ . Pour un disque de rayon $5 \mathrm{~mm}$ éclairant un disque de $5 \mathrm{~cm}$ à $50 \mathrm{~cm}$ , calculez les largeurs de l'ombre et de la pénombre à $2 \mathrm{~m}$ . Expliquez les éclipses.

See Solution

Problem 11618

Calculate the BMI for weight $38 \mathrm{~kg}$ and height $151 \mathrm{~cm}$ .

See Solution

Problem 11619

In a regular $n$ -sided polygon, the interior angle exceeds the exterior angle by $156^{\circ}$ . Find $n$ .

See Solution

Problem 11620

Find the supplementary angle to $(11x+3)^\circ$ .

See Solution

Problem 11621

Solve the equation $|3y + 6| = 13$ and select the solution set: A. List answers or B. $\varnothing$ .

See Solution

Problem 11622

Kevin's age plus his age next year equals 69. How old will he be in 16 years?

See Solution

Problem 11623

Find two complementary angles where $(2x-9)^{\circ} + (9x)^{\circ} = 90^{\circ}$ . Simplify your answers.

See Solution

Problem 11624

Find three consecutive even integers where the sum of the smallest and middle equals 44 more than the largest.

See Solution

Problem 11625

A customer slides a mug off a counter 1.38 m high, landing 0.80 m away. Find the exit velocity and impact direction (below horizontal).

See Solution

Problem 11626

Find the rotation rate in revolutions per second for a $32.5 \mathrm{ft}$ radius centrifuge to achieve $20.0 \mathrm{~g}$ acceleration.

See Solution

Problem 11627

Find three consecutive odd integers where the sum of the smallest and middle integer equals 51 more than the largest.

See Solution

Problem 11628

39 feet of snow melts into how many inches of water? Use the ratio 1.5 feet snow = 2 inches water. Round to the nearest tenth.

See Solution

Problem 11629

How many inches will a 7-foot wall be represented in blueprints if studs are marked every 1.5 feet? Round to the nearest tenth.

See Solution

Problem 11630

Find the length of each side of an equilateral triangle with a perimeter of 31.5 inches. Each side is $x$ inches.

See Solution

Problem 11631

A biologist tagged 168 fish, then caught 201 fish later, finding 22 tagged. Estimate the total fish using proportions.

See Solution

Problem 11632

Solve the equation $4(x-2)=3x+1$ .

See Solution

Problem 11633

Find the length and width of a rectangular court where length is $9$ ft longer than twice the width and perimeter is $108$ ft.

See Solution

Problem 11634

If a store sells 129 ice cream cones, how many are vanilla if 1 in 3 buys vanilla? Round to the nearest whole number.

See Solution

Problem 11635

If 1 in 3 ice cream buyers chooses vanilla and a store sells 129 cones, how many are vanilla? Round to the nearest whole number.

See Solution

Problem 11636

Find the width and length of a rectangular area fenced along a river, where length is 7 ft more than width and total fencing is 91 ft.

See Solution

Problem 11637

Solve for $x$ in the equation: $3 x + 1 = 7 x - 11$ .

See Solution

Problem 11638

Solve the equation $26 + 1 = 76 - 11$ . What is the value of the left side?

See Solution

Problem 11639

Find the probability that a randomly chosen employee has at least one child given they are married: $\mathrm{P}(\text{child} | \text{married})$ .

See Solution

Problem 11640

Travis has a 4" x 6" photo. a) If enlarged to 16" wide, what is the new height? b) Can it be enlarged to 8" x 10"? Answer y or $n$ .

See Solution

Problem 11641

If 45 teaspoons of vegetable oil are used, how many teaspoons of vinegar are needed based on the ratio $9:6$ ?

See Solution

Problem 11642

See Solution

Problem 11643

Nick needs to find how much vinegar for 12 cups of olive oil if he uses $\frac{1}{4}$ cup per cup of oil. A. 6 cups B. $2 \frac{1}{2}$ cups C. $5 \frac{1}{4}$ cups D. 3 cups

See Solution

Problem 11644

What operation isolates $x$ in $8 x=72$ ? Options: A. +8 B. $\times \frac{1}{8}$ C. ÷8 D. ÷72 E. ÷ $8x$ F. $\times$ 8 G. - $8x$ . Also, solve $8x=72$ : $x=$ help (numbers).

See Solution

Problem 11645

Solve the equation: $2(2 x+7)=11 x$ .

See Solution

Problem 11646

Solve $\frac{x+7}{5}=15$ by stating the order of two operations. Then, find $x$ . What is $x=\square$ ?

See Solution

Problem 11647

Find the probability $\mathrm{P}$ (pool | not two-story) given $60\%$ two-story, $24\%$ with a pool, $15\%$ both.

See Solution

Problem 11648

Find the width and length of a rectangular area fenced along a river, where length is 7 ft greater than width, using 91 ft of fencing.

See Solution

Problem 11649

Calculate the total cost for 32 guests at an ice cream social with a \$40 shelter fee and \$9 per guest.

See Solution

Problem 11650

Write a linear equation for total cost $y$ with $x$ guests, given shelter cost is \$40 and ice cream is \$9 per guest.

See Solution

Problem 11651

Destiny's ice cream social costs \$ 40 plus \$ 9 per guest. Find guests if the total bill is \$ 256.

See Solution

Problem 11652

Find the probability $\mathrm{P}$ (pass $\mid$ girl) given 50 girls passed and total students is 120.

See Solution

Problem 11653

Find the line equation through $(-4,1)$ that is perpendicular to $-3x + 4y = 9$ .

See Solution

Problem 11654

Solve the equation: $9x - 3 = 3(2x + 5)$ .

See Solution

Problem 11655

Find the value of $x$ in the equation $2 + 279 = x$ .

See Solution

Problem 11656

Find the weight range $w$ for a healthy BMI (19-25) at heights: (a) 75 in., (b) 74 in., (c) 78 in. Round to nearest lb.

See Solution

Problem 11657

The sides of a triangle are in a ratio of $2:3:4$ . If the perimeter is $63$ in, find the longest side.

See Solution

Problem 11658

Amir buys 3 cakes at $c$ cents each and 2 loaves at $(2c-11)$ cents. Total spent is \ $5.87. Find$ c$.

See Solution

Problem 11659

Let $x$ be the unknown. Write and solve the equation: $x + 5 = -25$ .

See Solution

Problem 11660

Solve the equation $C=\pi d$ for $d$ . What is $d$ in terms of $C$ ?

See Solution

Problem 11661

Solve for $x$ : $0.72 x - 0.93 = 9.39 - 3.58 x$

See Solution

Problem 11662

Solve $\frac{1}{3}|3 x+9|-5=4$ . What are the possible values of $x$ ?

See Solution

Problem 11663

Calculate $18 - 0$ . What is the result?

See Solution

Problem 11664

Write an equation for "The sum of a number and 5 is -25" and solve for $x$ . What is the equation?

See Solution

Problem 11665

If total rainfall is $7/16$ inch, how much fell in the second half of the month? Answer as a fraction or mixed number.

See Solution

Problem 11666

Find the weight range $w$ (to nearest pound) for a healthful BMI (19-25) using $BMI=\frac{704 \times(\text{weight})}{(\text{height})^2}$ . Heights: (a) 66 in, (b) 78 in, (c) 73 in.

See Solution

Problem 11667

Solve the equation: $7 \cdot \frac{-3}{5} + \frac{-3}{5} = 0$ .

See Solution

Problem 11668

Calculate the total cost for $5 \frac{3}{4}$ pounds of beef at \$4.99 per pound.

See Solution

Problem 11669

Calculate the volume of a rectangular prism with length $14.25 \, \text{ft}$ , width $13 \, \text{ft}$ , and height $4 \frac{1}{5} \, \text{ft}$ using $V=lwh$ .

See Solution

Problem 11670

Ian's diet is $30\%$ fat and $50\%$ carbs. If he eats $3,000 \mathrm{kcal}$ , what % of protein is he consuming? a) $10\%$ b) $20\%$ c) $30\%$ d) $40\%$

See Solution

Problem 11671

Find $R S$ if $S$ is the midpoint of $\overline{R T}$ , $R S=5 x+17$ , and $S T=8 x-31$ .

See Solution

Problem 11672

An alloy is made by mixing 28g of 15% copper and 100g of 55% copper. Find the grams and percentage of copper in the mixture.

See Solution

Problem 11673

Nicole and Chris each deposit \$90,000 at 3\% interest. Calculate their interest for the first three years and compare.

See Solution

Problem 11674

Determine the other trigonometric functions for $\theta$ given that $\tan \theta=-\frac{1}{6}$ and $\sin \theta>0$ .

See Solution

Problem 11675

Nicole and Chris each deposit \$20,000 at 2\% interest. Find their earnings for 3 years and compare.

See Solution

Problem 11676

If $J L=10 x-2$ , $J K=5 x-8$ , and $K L=7 x-12$ , what is the value of $K L$ ?

See Solution

Problem 11677

Ian's diet has $30\%$ Fat and $50\%$ Carbs in a total of $3,000 \mathrm{kcal}$ . How many kcal is he getting from Protein? a) $400 \mathrm{kcal}$ b) $500 \mathrm{kcal}$ c) $600 \mathrm{kcal}$ d) $700 \mathrm{kcal}$

See Solution

Problem 11678

Alonzo deposited \$12,000 at 6% and \$4,000 at 5%. Find: (a) total interest after 1 year and (b) total percent interest earned.

See Solution

Problem 11679

Ian's diet is 30% fat, 50% carbs, and 20% protein from 3000 kcal. How many grams of protein is he eating? Options: a) 150 b) 200 c) 300.

See Solution

Problem 11680

Karen invested \$3000 at 5\% and \$7000 at 4\%. Find total interest after 1 year and overall percent interest.

See Solution

Problem 11681

Laura and Eric each deposit \$70,000 at 6\% interest. Calculate their yearly interest for 3 years and compare.

See Solution

Problem 11682

Debra deposits \$30,000 at 4\% compounded annually, while Dan uses simple interest. Calculate their interest for 3 years and compare.

See Solution

Problem 11683

Debra and Dan each deposit \$30,000 at 4\% interest. Calculate their yearly interest for 3 years and compare.

See Solution

Problem 11684

Find angles $\angle 1$ and $\angle 2$ where $\angle 2$ is supplementary to $\angle 1$ and $m \angle 2 = 2m \angle 1 + 36^\circ$ .

See Solution

Problem 11685

Find angles $\angle 1$ and $\angle 2$ where $\angle 2$ is a supplement and $36^{\circ}$ more than $2 \times \angle 1$ .

See Solution

Problem 11686

Amy deposits \$60,000 at 3\% annual compound interest, Bill at 3\% simple interest. Calculate their interest for 3 years.

See Solution

Problem 11687

Ian's diet has 30% fat and 50% carbs in 3,000 kcal. How many kcal are from carbs? a) 500 b) 1000 c) 1500 d) 2000

See Solution

Problem 11688

Un poisson voit un disque lumineux de rayon $r=3.0 \, m$ à la surface d'un lac (indice $n=1.33$ ). Quelle est sa profondeur?

See Solution

Problem 11689

Lena deposited \$5000 at a 4.4% annual interest rate, compounded quarterly. How long to grow to \$6000? Round to the nearest hundredth.

See Solution

Problem 11690

Solve for $h$ in the equation $A=\frac{1}{2}(B+b) h$ .

See Solution

Problem 11691

Ian's diet has $30\%$ fat and $50\%$ carbs in a $3,000 \mathrm{kcal}$ total. How many grams of carbs is he eating? a) 375 b) 400 c) 425 d) 450

See Solution

Problem 11692

Jessica and Tom each deposit \$10,000 at 2% interest. Calculate their interest for 3 years and compare who earns more each year.

See Solution

Problem 11693

Find $D E$ given that $B$ is the midpoint of $A C$ , $A C=C D$ , $A B=3 x+4$ , $A C=11 x-17$ , and $C E=49$ .

See Solution

Problem 11694

Solve the equation $5 x^{2}-x-7=0$ . It cannot be factored.

See Solution

Problem 11695

Balance the equation: $\mathrm{Ca}_{3}\left(\mathrm{PO}_{4}\right)_{2}(s)+\mathrm{SiO}_{2}(s)+\mathrm{C}(s) \rightarrow \mathrm{CaSiO}_{3}(s)+\mathrm{P}_{4}(s)+\mathrm{CO}(g)$ using smallest whole number coefficients.

See Solution

Problem 11696

Balance the equation: $\mathrm{Ca}_{3}\left(\mathrm{PO}_{4}\right)_{2}(s)+\mathrm{SiO}_{2}(s)+\mathrm{C}(s) \rightarrow 3 \mathrm{CaSiO}_{3}(s)+\mathrm{P}_{4}(s)+\mathrm{CO}(g)$

See Solution

Problem 11697

Solve $(x+2)^{2}=49$ . Hint: 49 is a perfect square.

See Solution

Problem 11698

Solve $x^{2}+4 x=-1$ . Hint: Add 4 to both sides to form a perfect square.

See Solution

Problem 11699

Chang's trip to the mountains took 7 hours; the return took 5 hours at 18 mph faster. Find the distance to the mountains.

See Solution

Problem 11700

Solve for $x$ if $\angle NKL = 3x - 10$ and $\angle NKM = 2x + 20$ , with KN bisecting $\angle LKM$ .

See Solution

1 ...114 115 116 117 118 119 120 ...188

Equation

Problem 11601

Express 812x81^{2 x}812x and 273y27^{3 y}273y as powers of 3, then find the ratio x:yx:yx:y if they are equal.

Problem 11602

Given 2x=162^{x}=162x=16 and 2y=642^{y}=642y=64, find: (a) 2x+y2^{x+y}2x+y, (b) 2x−y2^{x-y}2x−y, (c) xyxyxy.

Problem 11603

In triangle ABCABCABC, with AB∥ACAB \parallel ACAB∥AC, if ∠BAC=5x\angle BAC = 5x∠BAC=5x and ∠ABC=2x\angle ABC = 2x∠ABC=2x, find xxx.

Problem 11604

Calculate the BMI for a weight of 54 kg54 \mathrm{~kg}54 kg and a height of 1.42 m1.42 \mathrm{~m}1.42 m.

Problem 11605

Calculate the BMI for a weight of 42 kg42 \mathrm{~kg}42 kg and a height of 1.48 m1.48 \mathrm{~m}1.48 m.

Problem 11606

Find the limit: lim⁡x→−∞x6−3x42x2−2x+1\lim _{x \rightarrow-\infty} \frac{x^{6}-3 x^{4}}{2 x^{2}-2 x+1}limx→−∞​2x2−2x+1x6−3x4​.

Problem 11607

An oil spill spreads 25 m² every 16\frac{1}{6}61​ hour. What is the total area after 2 hours?

Problem 11608

Problem 11609

Calculate the BMI for a person weighing 56 kg56 \, \text{kg}56kg and measuring 1.42 m1.42 \, \text{m}1.42m tall.

Problem 11610

Find the distance a train travels in 3 hours if it goes 10 miles every 14\frac{1}{4}41​ hour.

Problem 11611

There are 180 white lockers and a ratio of 3:5 with blue lockers. Find the total number of lockers in the school.

Problem 11612

What is the probability of seeing both a butterfly (80%) and a turtle (40%) during a nature center tour?

Problem 11613

An oil spill spreads 25 m² every 16\frac{1}{6}61​ hour. What is the area after 2 hours?

Problem 11614

Estimate the number of employees out of 600 who read at least one book each month if xxx out of 50 do.

Problem 11615

There are 180 white lockers. If there are 3 white lockers for every 5 blue lockers, how many total lockers are there?

Problem 11616

Prove that ACAE=cos⁡ϕcos⁡θ\frac{AC}{AE}=\frac{\cos \phi}{\cos \theta}AEAC​=cosθcosϕ​ for rectangle ABCDABCDABCD with point EEE on BCBCBC.

Problem 11617

Problem 11618

Calculate the BMI for weight 38 kg38 \mathrm{~kg}38 kg and height 151 cm151 \mathrm{~cm}151 cm.

Problem 11619

In a regular nnn-sided polygon, the interior angle exceeds the exterior angle by 156∘156^{\circ}156∘. Find nnn.

Problem 11620

Find the supplementary angle to (11x+3)∘(11x+3)^\circ(11x+3)∘.

Problem 11621

Solve the equation ∣3y+6∣=13|3y + 6| = 13∣3y+6∣=13 and select the solution set: A. List answers or B. ∅\varnothing∅.

Problem 11622

Kevin's age plus his age next year equals 69. How old will he be in 16 years?

Problem 11623

Find two complementary angles where (2x−9)∘+(9x)∘=90∘(2x-9)^{\circ} + (9x)^{\circ} = 90^{\circ}(2x−9)∘+(9x)∘=90∘. Simplify your answers.

Problem 11624

Find three consecutive even integers where the sum of the smallest and middle equals 44 more than the largest.

Problem 11625

A customer slides a mug off a counter 1.38 m high, landing 0.80 m away. Find the exit velocity and impact direction (below horizontal).

Problem 11626

Find the rotation rate in revolutions per second for a 32.5ft32.5 \mathrm{ft}32.5ft radius centrifuge to achieve 20.0 g20.0 \mathrm{~g}20.0 g acceleration.

Problem 11627

Find three consecutive odd integers where the sum of the smallest and middle integer equals 51 more than the largest.

Problem 11628

39 feet of snow melts into how many inches of water? Use the ratio 1.5 feet snow = 2 inches water. Round to the nearest tenth.

Problem 11629

How many inches will a 7-foot wall be represented in blueprints if studs are marked every 1.5 feet? Round to the nearest tenth.

Problem 11630

Find the length of each side of an equilateral triangle with a perimeter of 31.5 inches. Each side is xxx inches.

Problem 11631

A biologist tagged 168 fish, then caught 201 fish later, finding 22 tagged. Estimate the total fish using proportions.

Problem 11632

Solve the equation 4(x−2)=3x+14(x-2)=3x+14(x−2)=3x+1.

Problem 11633

Find the length and width of a rectangular court where length is 999 ft longer than twice the width and perimeter is 108108108 ft.

Problem 11634

If a store sells 129 ice cream cones, how many are vanilla if 1 in 3 buys vanilla? Round to the nearest whole number.

Problem 11635

If 1 in 3 ice cream buyers chooses vanilla and a store sells 129 cones, how many are vanilla? Round to the nearest whole number.

Problem 11636

Find the width and length of a rectangular area fenced along a river, where length is 7 ft more than width and total fencing is 91 ft.

Problem 11637

Solve for xxx in the equation: 3x+1=7x−113 x + 1 = 7 x - 113x+1=7x−11.

Problem 11638

Solve the equation 26+1=76−1126 + 1 = 76 - 1126+1=76−11. What is the value of the left side?

Problem 11639

Find the probability that a randomly chosen employee has at least one child given they are married: P(child∣married)\mathrm{P}(\text{child} | \text{married})P(child∣married).

Problem 11640

Travis has a 4" x 6" photo. a) If enlarged to 16" wide, what is the new height? b) Can it be enlarged to 8" x 10"? Answer y or nnn.

Problem 11641

Express $81^{2 x}$ and $27^{3 y}$ as powers of 3, then find the ratio $x:y$ if they are equal.

Given $2^{x}=16$ and $2^{y}=64$ , find: (a) $2^{x+y}$ , (b) $2^{x-y}$ , (c) $xy$ .

In triangle $ABC$ , with $AB \parallel AC$ , if $\angle BAC = 5x$ and $\angle ABC = 2x$ , find $x$ .

Calculate the BMI for a weight of $54 \mathrm{~kg}$ and a height of $1.42 \mathrm{~m}$ .

Calculate the BMI for a weight of $42 \mathrm{~kg}$ and a height of $1.48 \mathrm{~m}$ .

Find the limit: $\lim _{x \rightarrow-\infty} \frac{x^{6}-3 x^{4}}{2 x^{2}-2 x+1}$ .

An oil spill spreads 25 m² every $\frac{1}{6}$ hour. What is the total area after 2 hours?

Calculate the BMI for a person weighing $56 \, \text{kg}$ and measuring $1.42 \, \text{m}$ tall.

Find the distance a train travels in 3 hours if it goes 10 miles every $\frac{1}{4}$ hour.

An oil spill spreads 25 m² every $\frac{1}{6}$ hour. What is the area after 2 hours?

Estimate the number of employees out of 600 who read at least one book each month if $x$ out of 50 do.

Prove that $\frac{AC}{AE}=\frac{\cos \phi}{\cos \theta}$ for rectangle $ABCD$ with point $E$ on $BC$ .

Calculate the BMI for weight $38 \mathrm{~kg}$ and height $151 \mathrm{~cm}$ .

In a regular $n$ -sided polygon, the interior angle exceeds the exterior angle by $156^{\circ}$ . Find $n$ .

Find the supplementary angle to $(11x+3)^\circ$ .

Solve the equation $|3y + 6| = 13$ and select the solution set: A. List answers or B. $\varnothing$ .

Find two complementary angles where $(2x-9)^{\circ} + (9x)^{\circ} = 90^{\circ}$ . Simplify your answers.

Find the rotation rate in revolutions per second for a $32.5 \mathrm{ft}$ radius centrifuge to achieve $20.0 \mathrm{~g}$ acceleration.

Find the length of each side of an equilateral triangle with a perimeter of 31.5 inches. Each side is $x$ inches.

Solve the equation $4(x-2)=3x+1$ .

Find the length and width of a rectangular court where length is $9$ ft longer than twice the width and perimeter is $108$ ft.

Solve for $x$ in the equation: $3 x + 1 = 7 x - 11$ .

Solve the equation $26 + 1 = 76 - 11$ . What is the value of the left side?

Find the probability that a randomly chosen employee has at least one child given they are married: $\mathrm{P}(\text{child} | \text{married})$ .

Travis has a 4" x 6" photo. a) If enlarged to 16" wide, what is the new height? b) Can it be enlarged to 8" x 10"? Answer y or $n$ .

If 45 teaspoons of vegetable oil are used, how many teaspoons of vinegar are needed based on the ratio $9:6$ ?

Nick needs to find how much vinegar for 12 cups of olive oil if he uses $\frac{1}{4}$ cup per cup of oil. A. 6 cups B. $2 \frac{1}{2}$ cups C. $5 \frac{1}{4}$ cups D. 3 cups

What operation isolates $x$ in $8 x=72$ ? Options: A. +8 B. $\times \frac{1}{8}$ C. ÷8 D. ÷72 E. ÷ $8x$ F. $\times$ 8 G. - $8x$ . Also, solve $8x=72$ : $x=$ help (numbers).

Solve the equation: $2(2 x+7)=11 x$ .

Solve $\frac{x+7}{5}=15$ by stating the order of two operations. Then, find $x$ . What is $x=\square$ ?

Find the probability $\mathrm{P}$ (pool | not two-story) given $60\%$ two-story, $24\%$ with a pool, $15\%$ both.

Write a linear equation for total cost $y$ with $x$ guests, given shelter cost is \$40 and ice cream is \$9 per guest.

Find the probability $\mathrm{P}$ (pass $\mid$ girl) given 50 girls passed and total students is 120.

Find the line equation through $(-4,1)$ that is perpendicular to $-3x + 4y = 9$ .

Solve the equation: $9x - 3 = 3(2x + 5)$ .

Find the value of $x$ in the equation $2 + 279 = x$ .

Find the weight range $w$ for a healthy BMI (19-25) at heights: (a) 75 in., (b) 74 in., (c) 78 in. Round to nearest lb.

The sides of a triangle are in a ratio of $2:3:4$ . If the perimeter is $63$ in, find the longest side.

Amir buys 3 cakes at $c$ cents each and 2 loaves at $(2c-11)$ cents. Total spent is \ $5.87. Find$ c$.

Let $x$ be the unknown. Write and solve the equation: $x + 5 = -25$ .

Solve the equation $C=\pi d$ for $d$ . What is $d$ in terms of $C$ ?

Solve for $x$ : $0.72 x - 0.93 = 9.39 - 3.58 x$

Solve $\frac{1}{3}|3 x+9|-5=4$ . What are the possible values of $x$ ?

Calculate $18 - 0$ . What is the result?

Write an equation for "The sum of a number and 5 is -25" and solve for $x$ . What is the equation?

If total rainfall is $7/16$ inch, how much fell in the second half of the month? Answer as a fraction or mixed number.

Find the weight range $w$ (to nearest pound) for a healthful BMI (19-25) using $BMI=\frac{704 \times(\text{weight})}{(\text{height})^2}$ . Heights: (a) 66 in, (b) 78 in, (c) 73 in.

Solve the equation: $7 \cdot \frac{-3}{5} + \frac{-3}{5} = 0$ .

Calculate the total cost for $5 \frac{3}{4}$ pounds of beef at \$4.99 per pound.

Calculate the volume of a rectangular prism with length $14.25 \, \text{ft}$ , width $13 \, \text{ft}$ , and height $4 \frac{1}{5} \, \text{ft}$ using $V=lwh$ .

Ian's diet is $30\%$ fat and $50\%$ carbs. If he eats $3,000 \mathrm{kcal}$ , what % of protein is he consuming? a) $10\%$ b) $20\%$ c) $30\%$ d) $40\%$

Find $R S$ if $S$ is the midpoint of $\overline{R T}$ , $R S=5 x+17$ , and $S T=8 x-31$ .

Determine the other trigonometric functions for $\theta$ given that $\tan \theta=-\frac{1}{6}$ and $\sin \theta>0$ .