Solve

Problem 3601

A ball is dropped from a 59 ft building.
(a) Time to fall half the distance? $t =$
(b) Time to reach ground? $t =$

See Solution

Problem 3602

Find the area of a triangle with vertices at (2,8), (5,3), and (9,3) using the formula: Area = $\frac{1}{2} \times \text{base} \times \text{height}$ .

See Solution

Problem 3603

Find the derivative $f'(90^\circ)$ for the function $f(x) = \sin x - 3 \cos x$ .

See Solution

Problem 3604

Find $f'(90^{\circ})$ for $f(x) = \sin x - 3\cos x$ and evaluate $3 \lim_{x \rightarrow 0} \frac{\cos 2x - 11}{\cos x - 1}$ .

See Solution

Problem 3605

Estimate $y$ for $x=1$ and $x=6$ using the model $y=0.88x+18.69$ . What are the values?

See Solution

Problem 3606

Round 180.85 to the nearest tenth: what is the result?

See Solution

Problem 3607

Round 44.909 to the nearest tenth.

See Solution

Problem 3608

Round 3.124 pounds to the nearest tenth of a pound.

See Solution

Problem 3609

Use row operations to solve the system: $7 x_{1} + 14 x_{2} = 7 5 x_{1} + 8 x_{2} = 11$ Find the values of $x_{1}$ and $x_{2}$ .

See Solution

Problem 3610

Calculate: $6 \times 3 =$

See Solution

Problem 3611

Calculate the product of 2 and 3: $(2 \times 3)=$

See Solution

Problem 3612

Find the limit: $\lim _{x \rightarrow \infty}\left(\frac{x+4}{2-3 x}\right)^{3}$ .

See Solution

Problem 3613

Find the limit as $x$ approaches infinity of $\left(\frac{x+4}{2-3 x}\right)^{3}$ .

See Solution

Problem 3614

Calculate \$ 124.30 - \$ 46 to find the result. What is the answer?

See Solution

Problem 3615

Calculate \$ 124.30 - \$ 46.

See Solution

Problem 3616

Find the next five Fibonacci terms after $144, 233, 377, 610$ and the $14^{\text{th}}$ term if $F_8 = 21$ and $F_9 = 34$ .

See Solution

Problem 3617

Find the general solution for the system with the matrix:
$\left[\begin{array}{rrrr} 1 & 1 & 0 & -7 \\ 2 & 1 & 0 & -16 \end{array}\right]$
Select A, B, C, or D.

See Solution

Problem 3618

Solve the equation: $14 x - 3(3 x - 3) = 4 x + 2$ .

See Solution

Problem 3619

Solve for $x$ in the equation: $6 - 2x = 6x - 10x + 10$ .

See Solution

Problem 3620

Solve for $x$ : $8(x+4)=10(x-2)$

See Solution

Problem 3621

Solve $2x + 17 = 3$ . Is it an identity, contradiction, or what is the solution set? A, B, or C?

See Solution

Problem 3622

Find the general solution for the system from the augmented matrix: $\begin{bmatrix} 0 & 1 & -2 & 5 \\ 1 & -4 & 4 & -14 \end{bmatrix}$ Choose A, B, C, or D.

See Solution

Problem 3623

Eva earns an 8% commission. Calculate her total commission from these sales: Refrigerator ( $2,200, 4), Washing Machine ($ 1,650, 7), Clothes Dryer ( $1,200, 7), Dishwasher ($ 450, 6).

See Solution

Problem 3624

Eva earns a 5% commission. Calculate her total commission from selling 10 refrigerators at \$1,200, 6 washers at \$650, 12 dryers at \$600, and 8 dishwashers at \$450.

See Solution

Problem 3625

Find the general solution of the system from the matrix: $\left[\begin{array}{rrrr} 0 & 1 & -2 & 5 \\ 1 & -4 & 4 & -14 \end{array}\right]$ Choose A, B, C, or D.

See Solution

Problem 3626

Solve the equation: $-4(k+1)-k-13=-5(k+5)+8$ .

See Solution

Problem 3627

Eva earns an $8\%$ commission. Calculate her total commission based on her weekly sales: 4 refrigerators at \$2,200, 7 washers at \$1,650, 7 dryers at \$1,200, and 6 dishwashers at \$450.

See Solution

Problem 3628

Solve the equation: $7[2-(3+2 x)]-2 x=-9+2(1-8 x)$ .

See Solution

Problem 3629

Solve the equation: $5x + 8(x - 6) = 5(x - 8)$ .

See Solution

Problem 3630

Solve the equation: $\frac{5}{6} x - x = \frac{9}{10} x - 5$ .

See Solution

Problem 3631

Solve for $x$ in the equation: $-0.10(28)+0.35 x=0.05(x-20)$ .

See Solution

Problem 3632

Calculate the product of 523 and 52: $523 \times 52$ .

See Solution

Problem 3633

Solve for $x$ in the equation $\frac{x}{2}+\frac{x}{7}=9$ .

See Solution

Problem 3634

Solve the equation: $\frac{5 t+1}{8}=\frac{t+6}{16}+\frac{t-4}{16}$ .

See Solution

Problem 3635

Solve for $y$ in the equation $0.15 y + 0.07(y + 5000) = 1670$ .

See Solution

Problem 3636

Find the limit: $\lim _{a \rightarrow 1} \frac{a^{3}-a}{a^{2}-1}$ .

See Solution

Problem 3637

A car traveled from 1350 to 1815. How long was the journey? After a $1 \frac{1}{2}$ hour break, how long did she drive?

See Solution

Problem 3638

Mark Adler earns \$1,650 monthly. His new job pays \$9.80/hour with time and a half over 36 hours. How many overtime hours per week are needed to match his current weekly earnings?

See Solution

Problem 3639

Calculate $13 - (-4)$ . What is the result?

See Solution

Problem 3640

Calculate the result of $(-20) + \frac{-(10)}{0-10} - 30 + 30 + 10$ .

See Solution

Problem 3641

Find the limit as $x$ approaches -3 for the expression $\frac{x^{2}+9x+18}{x+3}$ .

See Solution

Problem 3642

Calculate $2 \frac{1}{6} - 5 \frac{2}{3}$ . Choose the correct answer: $-3 \frac{1}{2}$ , $3 \frac{1}{6}$ , $-3 \frac{1}{3}$ , or $-7 \frac{1}{2}$ .

See Solution

Problem 3643

Add these numbers: $-\frac{5}{4}, -\frac{7}{9}, -2\frac{4}{9}, -2\frac{1}{36}, 2\frac{1}{36}, -\frac{12}{13}$ .

See Solution

Problem 3644

A 1 m wire is cut into 5 parts of 150 mm each. Find the remaining length in cm.

See Solution

Problem 3645

Find the limit: $\lim _{x \rightarrow 0} \frac{-3 x}{\sqrt{3 x+64}-8}$ .

See Solution

Problem 3646

An employee earns \$9.25/hour and \$8 for every 20 transformers. Find their hourly earnings for 36 hours and 380 transformers.

See Solution

Problem 3647

Johnathan picked beads 50 times. He got red 12, yellow 14, blue 24. How many blue beads in 150 picks? (A) 36 (B) 42 (C) 72 (D) 78

See Solution

Problem 3648

Missy rode 16 miles in 1.25 hours. What is her average speed in miles per hour?

See Solution

Problem 3649

A wire is $1 \mathrm{~m}$ long. If cut into 5 parts of $150 \mathrm{~mm}$ each, find the remaining length in $\mathrm{cm}$ .

See Solution

Problem 3650

Solve the equation $x^{3}=6$ for $x$ . What are the possible values of $x$ ?

See Solution

Problem 3651

Missy rode 16 miles in $1 \frac{1}{4}$ hours. Find her average speed in miles per hour.

See Solution

Problem 3652

Find the inverse of $f(x)=3x$ . What is $g(x)$ ? Also, graph both $f(x)$ and $g(x)$ .

See Solution

Problem 3653

Carlos jogged $5 \frac{3}{4}$ laps in 8 minutes. What is his average speed in laps per minute?

See Solution

Problem 3654

Subtract 1,892 from 3,300. What is the result?

See Solution

Problem 3655

Christina drove $64 \frac{1}{6}$ miles using $2 \frac{1}{3}$ gallons of gas. Find her car's fuel efficiency in miles per gallon.

See Solution

Problem 3656

Mr. Gill's pump drains water at $-2 \frac{1}{4}$ inches/hour. A stronger pump drains $2 \frac{1}{2}$ times faster. Find the rate.

See Solution

Problem 3657

Find the value of $\frac{1}{3}x - \frac{3}{4}$ for $x=\frac{1}{4}$ .

See Solution

Problem 3658

Caitlin paints 42 sq ft in $\frac{2}{3}$ hour. How many sq ft can she paint in 1 hour?

See Solution

Problem 3659

Calculate the products of 5 with numbers 1 through 12: $5 \times 1, 5 \times 2, \ldots, 5 \times 12$ .

See Solution

Problem 3660

Christina used $2 \frac{1}{3}$ gallons of gas for $64 \frac{1}{6}$ miles. Find her fuel efficiency in miles per gallon.

See Solution

Problem 3661

Calculate $|2y-5|$ when $y = 5$ .

See Solution

Problem 3662

Caitlin paints 42 sq ft in $\frac{2}{3}$ hour. How many sq ft can she paint in 1 hour? Answer: 63 sq ft.

See Solution

Problem 3663

What is the result of $2 + 2$ ?

See Solution

Problem 3664

Mr. Lopez spreads 2 cubic yards in $\frac{3}{4}$ hour. How many cubic yards can he spread in 1 hour?

See Solution

Problem 3665

Mail carriers delivered 1,344 pieces of mail. If $\frac{1}{6}$ were magazines and $\frac{1}{12}$ were packages, how many letters were delivered?

See Solution

Problem 3666

Calculate $7 - |3 \times 1.2 + 10|$ .

See Solution

Problem 3667

Solve the equation $|x-3|=17$ .

See Solution

Problem 3668

Cindy mixes $19 \frac{1}{4}$ grams of drink mix in $1 \frac{3}{4}$ ounces of water. Find grams per ounce of water.

See Solution

Problem 3669

Evaluate $3|x+4|+|3x|$ for $x = -4$ .

See Solution

Problem 3670

Mr. Lopez spreads 2 cubic yards in $\frac{3}{4}$ hour. How many cubic yards can he spread in 1 hour?

See Solution

Problem 3671

Find the unit price of a $21 \frac{1}{2}$ -ounce cereal box that costs \$3.87 in \$ per ounce.

See Solution

Problem 3672

What is the probability that a randomly assigned two-digit uniform number (10-99) ends in 0? Options: (A) $\frac{9}{100}$ (B) $\frac{1}{10}$ (C) $\frac{10}{99}$ (D) $\frac{1}{9}$

See Solution

Problem 3673

Angles $AXB$ and $BXC$ are supplementary. Find the measure of angle $AXB$ . Options: (A) $162^{\circ}$ (B) $146^{\circ}$ (C) $34^{\circ}$ (D) $18^{\circ}$

See Solution

Problem 3674

A bus traveled 120 miles in $2 \frac{1}{2}$ hours. What was its speed in mph? (A) $40$ (B) $45$ (C) $48$ (D) $50$

See Solution

Problem 3675

Solve the equation: $|x-3|=17$ .

See Solution

Problem 3676

A truck used $10 \frac{2}{5}$ gallons for 65 miles. Find its fuel efficiency in miles per gallon.

See Solution

Problem 3677

A semi truck used $10 \frac{2}{5}$ gallons to travel 65 miles. Find its fuel efficiency in miles per gallon.

See Solution

Problem 3678

Find the unit price of a $21 \frac{1}{2}$ -ounce cereal box that costs \$3.87: \$ per ounce.

See Solution

Problem 3679

Olivia buys water for \$1.28 daily. How much does she spend in 5 days?

See Solution

Problem 3680

Solve the equation $8|x-3|=88$ .

See Solution

Problem 3681

Zach's first quiz score is what if his last score is $30$ less than $2$ times his first, and their sum is $150$ ?

See Solution

Problem 3682

Solve these equations for $x$ : 1. $16x = 176$ , 2. $16x = 8$ , 3. $16x = 1$ , 4. $\frac{1}{5}x = 1$ , 5. $\frac{2}{5}x = 1$ .

See Solution

Problem 3683

Find the dimensions of two rectangles:
1. First rectangle: length is 18 cm more than width.
2. Second rectangle: 6 cm shorter and 3 cm wider than the first, perimeter is 126 cm.

See Solution

Problem 3684

Becky has dimes equal to Ryan and Amy combined. Ryan has 2 more than Amy, who has one third of Becky's dimes. Find their dimes.

See Solution

Problem 3685

A cup of skim milk has 10 more than half the calories of whole milk. Whole milk has 40 more calories than apple juice. Total is 370. Find calories in each.

See Solution

Problem 3686

A set of quarters and dimes totals \$6.75. Dimes are 4 less than 3 times quarters. Find the quantities.

See Solution

Problem 3687

What is the intrinsic value of Wayne's Steaks preferred stock at a 12% return if it pays 9% dividends and costs \$73?

See Solution

Problem 3688

Find the yield of a preferred stock sold for \$100 with an \$8 annual dividend. Also, find the yield to call if it's called at \$110 in 5 years.

See Solution

Problem 3689

Fawlty Foods paid a \$1.40 dividend, closing price \$21, required return 12%. Find growth rate, dividend yield, and capital gains yield.

See Solution

Problem 3690

Calculate the intrinsic value of a \$1,000 bond with a 9% coupon rate, 15 years to maturity, and a 14% required return.

See Solution

Problem 3691

Great Northern Railway has perpetual bonds. Current price is \$1,120, pays \$45 semiannually. Find semiannual yield and annual yields.

See Solution

Problem 3692

Calculate total sales minus refunds for Sara's Olde Curiosity Shop, which has a 3% fee. Sales: \$70.63, \$108.54, \$186.18, \$131.93, \$92.09, \$180.38, \$165.82, \$187.43; Refunds: \$26.32, \$12.87, \$26.12.

See Solution

Problem 3693

Solve for $B$ in the equation $\frac{6}{5} B + g^{2} = d$ , considering capitalization.

See Solution

Problem 3694

Rob's current age if he will be 81 in ten years is given by the equation: $x + 10 = 81$ .

See Solution

Problem 3695

Ashley ran 33 miles, which is 15 miles more than Kristin. How many miles did Kristin run?

See Solution

Problem 3696

Scott won 45 pieces of gum and has 23 left. How many did he give away? Use the equation: $45 - x = 23$ .

See Solution

Problem 3697

Envelopes cost \$7 per box. How many boxes did Pranav buy if he spent \$63?

See Solution

Problem 3698

Find the prime factorization of $75$ .

See Solution

Problem 3699

What was the total bill if Jessica and 5 friends each paid \$10?

See Solution

Problem 3700

In a library, $40\%$ of books are in English, $80\%$ of the rest are in Hindi, and 240 are in other languages. Total books?

See Solution

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Solve

Problem 3601

A ball is dropped from a 59 ft building. (a) Time to fall half the distance? t= t = t=(b) Time to reach ground? t= t = t=

Problem 3602

Find the area of a triangle with vertices at (2,8), (5,3), and (9,3) using the formula: Area = 12×base×height\frac{1}{2} \times \text{base} \times \text{height}21​×base×height.

Problem 3603

Find the derivative f′(90∘)f'(90^\circ)f′(90∘) for the function f(x)=sin⁡x−3cos⁡xf(x) = \sin x - 3 \cos xf(x)=sinx−3cosx.

Problem 3604

Find f′(90∘)f'(90^{\circ})f′(90∘) for f(x)=sin⁡x−3cos⁡xf(x) = \sin x - 3\cos xf(x)=sinx−3cosx and evaluate 3lim⁡x→0cos⁡2x−11cos⁡x−13 \lim_{x \rightarrow 0} \frac{\cos 2x - 11}{\cos x - 1}3limx→0​cosx−1cos2x−11​.

Problem 3605

Estimate yyy for x=1x=1x=1 and x=6x=6x=6 using the model y=0.88x+18.69y=0.88x+18.69y=0.88x+18.69. What are the values?

Problem 3606

Round 180.85 to the nearest tenth: what is the result?

Problem 3607

Round 44.909 to the nearest tenth.

Problem 3608

Round 3.124 pounds to the nearest tenth of a pound.

Problem 3609

Use row operations to solve the system: 7x1+14x2=75x1+8x2=11 7 x_{1} + 14 x_{2} = 7 5 x_{1} + 8 x_{2} = 11 7x1​+14x2​=75x1​+8x2​=11 Find the values of x1x_{1}x1​ and x2x_{2}x2​.

Problem 3610

Calculate: 6×3=6 \times 3 = 6×3=

Problem 3611

Calculate the product of 2 and 3: (2×3)=(2 \times 3)=(2×3)=

Problem 3612

Find the limit: lim⁡x→∞(x+42−3x)3\lim _{x \rightarrow \infty}\left(\frac{x+4}{2-3 x}\right)^{3}limx→∞​(2−3xx+4​)3.

Problem 3613

Find the limit as xxx approaches infinity of (x+42−3x)3\left(\frac{x+4}{2-3 x}\right)^{3}(2−3xx+4​)3.

Problem 3614

Calculate \$ 124.30 - \$ 46 to find the result. What is the answer?

Problem 3615

Calculate \$ 124.30 - \$ 46.

Problem 3616

Find the next five Fibonacci terms after 144,233,377,610144, 233, 377, 610144,233,377,610 and the 14th14^{\text{th}}14th term if F8=21F_8 = 21F8​=21 and F9=34F_9 = 34F9​=34.

Problem 3617

Find the general solution for the system with the matrix: [110−7210−16] \left[\begin{array}{rrrr} 1 & 1 & 0 & -7 \\ 2 & 1 & 0 & -16 \end{array}\right] [12​11​00​−7−16​]Select A, B, C, or D.

Problem 3618

Solve the equation: 14x−3(3x−3)=4x+214 x - 3(3 x - 3) = 4 x + 214x−3(3x−3)=4x+2.

Problem 3619

Solve for xxx in the equation: 6−2x=6x−10x+106 - 2x = 6x - 10x + 106−2x=6x−10x+10.

Problem 3620

Solve for xxx: 8(x+4)=10(x−2)8(x+4)=10(x-2)8(x+4)=10(x−2)

Problem 3621

Solve 2x+17=32x + 17 = 32x+17=3. Is it an identity, contradiction, or what is the solution set? A, B, or C?

Problem 3622

Find the general solution for the system from the augmented matrix: [01−251−44−14] \begin{bmatrix} 0 & 1 & -2 & 5 \\ 1 & -4 & 4 & -14 \end{bmatrix} [01​1−4​−24​5−14​] Choose A, B, C, or D.

Problem 3623

Eva earns an 8% commission. Calculate her total commission from these sales: Refrigerator (2,200,4),WashingMachine(2,200, 4), Washing Machine (2,200,4),WashingMachine(1,650, 7), Clothes Dryer (1,200,7),Dishwasher(1,200, 7), Dishwasher (1,200,7),Dishwasher(450, 6).

Problem 3624

Eva earns a 5% commission. Calculate her total commission from selling 10 refrigerators at \$1,200, 6 washers at \$650, 12 dryers at \$600, and 8 dishwashers at \$450.

Problem 3625

Find the general solution of the system from the matrix: [01−251−44−14] \left[\begin{array}{rrrr} 0 & 1 & -2 & 5 \\ 1 & -4 & 4 & -14 \end{array}\right] [01​1−4​−24​5−14​] Choose A, B, C, or D.

Problem 3626

Solve the equation: −4(k+1)−k−13=−5(k+5)+8-4(k+1)-k-13=-5(k+5)+8−4(k+1)−k−13=−5(k+5)+8.

Problem 3627

Eva earns an 8%8\%8% commission. Calculate her total commission based on her weekly sales: 4 refrigerators at \$2,200, 7 washers at \$1,650, 7 dryers at \$1,200, and 6 dishwashers at \$450.

Problem 3628

Solve the equation: 7[2−(3+2x)]−2x=−9+2(1−8x)7[2-(3+2 x)]-2 x=-9+2(1-8 x)7[2−(3+2x)]−2x=−9+2(1−8x).

Problem 3629

Solve the equation: 5x+8(x−6)=5(x−8)5x + 8(x - 6) = 5(x - 8)5x+8(x−6)=5(x−8).

Problem 3630

Solve the equation: 56x−x=910x−5\frac{5}{6} x - x = \frac{9}{10} x - 565​x−x=109​x−5.

Problem 3631

Solve for xxx in the equation: −0.10(28)+0.35x=0.05(x−20)-0.10(28)+0.35 x=0.05(x-20)−0.10(28)+0.35x=0.05(x−20).

Problem 3632

Calculate the product of 523 and 52: 523×52523 \times 52523×52.

Problem 3633

Solve for xxx in the equation x2+x7=9\frac{x}{2}+\frac{x}{7}=92x​+7x​=9.

Problem 3634

Solve the equation: 5t+18=t+616+t−416\frac{5 t+1}{8}=\frac{t+6}{16}+\frac{t-4}{16}85t+1​=16t+6​+16t−4​.

Problem 3635

Solve for yyy in the equation 0.15y+0.07(y+5000)=16700.15 y + 0.07(y + 5000) = 16700.15y+0.07(y+5000)=1670.

Problem 3636

Find the limit: lim⁡a→1a3−aa2−1\lim _{a \rightarrow 1} \frac{a^{3}-a}{a^{2}-1}lima→1​a2−1a3−a​.

Problem 3637

A car traveled from 1350 to 1815. How long was the journey? After a 1121 \frac{1}{2}121​ hour break, how long did she drive?

Problem 3638

Mark Adler earns \$1,650 monthly. His new job pays \$9.80/hour with time and a half over 36 hours. How many overtime hours per week are needed to match his current weekly earnings?

Problem 3639

Calculate 13−(−4)13 - (-4)13−(−4). What is the result?

Problem 3640

A ball is dropped from a 59 ft building.
(a) Time to fall half the distance? $t =$
(b) Time to reach ground? $t =$

Find the area of a triangle with vertices at (2,8), (5,3), and (9,3) using the formula: Area = $\frac{1}{2} \times \text{base} \times \text{height}$ .

Find the derivative $f'(90^\circ)$ for the function $f(x) = \sin x - 3 \cos x$ .

Find $f'(90^{\circ})$ for $f(x) = \sin x - 3\cos x$ and evaluate $3 \lim_{x \rightarrow 0} \frac{\cos 2x - 11}{\cos x - 1}$ .

Estimate $y$ for $x=1$ and $x=6$ using the model $y=0.88x+18.69$ . What are the values?

Use row operations to solve the system: $7 x_{1} + 14 x_{2} = 7 5 x_{1} + 8 x_{2} = 11$ Find the values of $x_{1}$ and $x_{2}$ .

Calculate: $6 \times 3 =$

Calculate the product of 2 and 3: $(2 \times 3)=$

Find the limit: $\lim _{x \rightarrow \infty}\left(\frac{x+4}{2-3 x}\right)^{3}$ .

Find the limit as $x$ approaches infinity of $\left(\frac{x+4}{2-3 x}\right)^{3}$ .

Find the next five Fibonacci terms after $144, 233, 377, 610$ and the $14^{\text{th}}$ term if $F_8 = 21$ and $F_9 = 34$ .

Find the general solution for the system with the matrix:
$\left[\begin{array}{rrrr} 1 & 1 & 0 & -7 \\ 2 & 1 & 0 & -16 \end{array}\right]$
Select A, B, C, or D.

Solve the equation: $14 x - 3(3 x - 3) = 4 x + 2$ .

Solve for $x$ in the equation: $6 - 2x = 6x - 10x + 10$ .

Solve for $x$ : $8(x+4)=10(x-2)$

Solve $2x + 17 = 3$ . Is it an identity, contradiction, or what is the solution set? A, B, or C?

Find the general solution for the system from the augmented matrix: $\begin{bmatrix} 0 & 1 & -2 & 5 \\ 1 & -4 & 4 & -14 \end{bmatrix}$ Choose A, B, C, or D.

Eva earns an 8% commission. Calculate her total commission from these sales: Refrigerator ( $2,200, 4), Washing Machine ($ 1,650, 7), Clothes Dryer ( $1,200, 7), Dishwasher ($ 450, 6).

Find the general solution of the system from the matrix: $\left[\begin{array}{rrrr} 0 & 1 & -2 & 5 \\ 1 & -4 & 4 & -14 \end{array}\right]$ Choose A, B, C, or D.

Solve the equation: $-4(k+1)-k-13=-5(k+5)+8$ .

Eva earns an $8\%$ commission. Calculate her total commission based on her weekly sales: 4 refrigerators at \$2,200, 7 washers at \$1,650, 7 dryers at \$1,200, and 6 dishwashers at \$450.

Solve the equation: $7[2-(3+2 x)]-2 x=-9+2(1-8 x)$ .

Solve the equation: $5x + 8(x - 6) = 5(x - 8)$ .

Solve the equation: $\frac{5}{6} x - x = \frac{9}{10} x - 5$ .

Solve for $x$ in the equation: $-0.10(28)+0.35 x=0.05(x-20)$ .

Calculate the product of 523 and 52: $523 \times 52$ .

Solve for $x$ in the equation $\frac{x}{2}+\frac{x}{7}=9$ .

Solve the equation: $\frac{5 t+1}{8}=\frac{t+6}{16}+\frac{t-4}{16}$ .

Solve for $y$ in the equation $0.15 y + 0.07(y + 5000) = 1670$ .

Find the limit: $\lim _{a \rightarrow 1} \frac{a^{3}-a}{a^{2}-1}$ .

A car traveled from 1350 to 1815. How long was the journey? After a $1 \frac{1}{2}$ hour break, how long did she drive?

Calculate $13 - (-4)$ . What is the result?

Calculate the result of $(-20) + \frac{-(10)}{0-10} - 30 + 30 + 10$ .

Find the limit as $x$ approaches -3 for the expression $\frac{x^{2}+9x+18}{x+3}$ .

Calculate $2 \frac{1}{6} - 5 \frac{2}{3}$ . Choose the correct answer: $-3 \frac{1}{2}$ , $3 \frac{1}{6}$ , $-3 \frac{1}{3}$ , or $-7 \frac{1}{2}$ .

Add these numbers: $-\frac{5}{4}, -\frac{7}{9}, -2\frac{4}{9}, -2\frac{1}{36}, 2\frac{1}{36}, -\frac{12}{13}$ .

Find the limit: $\lim _{x \rightarrow 0} \frac{-3 x}{\sqrt{3 x+64}-8}$ .

A wire is $1 \mathrm{~m}$ long. If cut into 5 parts of $150 \mathrm{~mm}$ each, find the remaining length in $\mathrm{cm}$ .

Solve the equation $x^{3}=6$ for $x$ . What are the possible values of $x$ ?

Missy rode 16 miles in $1 \frac{1}{4}$ hours. Find her average speed in miles per hour.

Find the inverse of $f(x)=3x$ . What is $g(x)$ ? Also, graph both $f(x)$ and $g(x)$ .

Carlos jogged $5 \frac{3}{4}$ laps in 8 minutes. What is his average speed in laps per minute?

Christina drove $64 \frac{1}{6}$ miles using $2 \frac{1}{3}$ gallons of gas. Find her car's fuel efficiency in miles per gallon.

Mr. Gill's pump drains water at $-2 \frac{1}{4}$ inches/hour. A stronger pump drains $2 \frac{1}{2}$ times faster. Find the rate.

Find the value of $\frac{1}{3}x - \frac{3}{4}$ for $x=\frac{1}{4}$ .

Caitlin paints 42 sq ft in $\frac{2}{3}$ hour. How many sq ft can she paint in 1 hour?

Calculate the products of 5 with numbers 1 through 12: $5 \times 1, 5 \times 2, \ldots, 5 \times 12$ .

Christina used $2 \frac{1}{3}$ gallons of gas for $64 \frac{1}{6}$ miles. Find her fuel efficiency in miles per gallon.

Calculate $|2y-5|$ when $y = 5$ .

Caitlin paints 42 sq ft in $\frac{2}{3}$ hour. How many sq ft can she paint in 1 hour? Answer: 63 sq ft.

What is the result of $2 + 2$ ?

Mr. Lopez spreads 2 cubic yards in $\frac{3}{4}$ hour. How many cubic yards can he spread in 1 hour?

Mail carriers delivered 1,344 pieces of mail. If $\frac{1}{6}$ were magazines and $\frac{1}{12}$ were packages, how many letters were delivered?

Calculate $7 - |3 \times 1.2 + 10|$ .

Solve the equation $|x-3|=17$ .

Cindy mixes $19 \frac{1}{4}$ grams of drink mix in $1 \frac{3}{4}$ ounces of water. Find grams per ounce of water.

Evaluate $3|x+4|+|3x|$ for $x = -4$ .

Mr. Lopez spreads 2 cubic yards in $\frac{3}{4}$ hour. How many cubic yards can he spread in 1 hour?

Find the unit price of a $21 \frac{1}{2}$ -ounce cereal box that costs \$3.87 in \$ per ounce.

What is the probability that a randomly assigned two-digit uniform number (10-99) ends in 0? Options: (A) $\frac{9}{100}$ (B) $\frac{1}{10}$ (C) $\frac{10}{99}$ (D) $\frac{1}{9}$

Angles $AXB$ and $BXC$ are supplementary. Find the measure of angle $AXB$ . Options: (A) $162^{\circ}$ (B) $146^{\circ}$ (C) $34^{\circ}$ (D) $18^{\circ}$

A bus traveled 120 miles in $2 \frac{1}{2}$ hours. What was its speed in mph? (A) $40$ (B) $45$ (C) $48$ (D) $50$