Solve

Problem 21401

In 1980, CPI was 82.4 and Ivan's house cost \$ 71,900. What was its cost in 1970 when CPI was 38.8? A. \$ 33,900 B. \$ 38,000 C. \$ 38,800 D. \$ 82,400

See Solution

Problem 21402

Find the probability of selecting 12 jurors from 18 married and 17 not married people:
(a) all married; (b) all not married.
Provide answer as a fraction or decimal (4 places).

See Solution

Problem 21403

What is the cost difference for a one-night stay at Sleepy Head Motel with breakfast ( $\$ 142$ ) vs. without ( $\$ 119$ )?

See Solution

Problem 21404

Find the change in net working capital (NWC) from 2021 to 2022 using current assets and liabilities:
2021: assets = \$1,165, liabilities = \$945; 2022: assets = \$1,380, liabilities = \$1,055.

See Solution

Problem 21405

Find $(f \circ g)(x)$ and $(g \circ f)(x)$ for $f(x)=-10x+15$ and $g(x)=7x+9$ , including their domains.

See Solution

Problem 21406

Find the length $y$ of a room's floor if its width is $y - 5$ and the perimeter is $4y + 1$ meters. Show your work.

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Problem 21407

A jury of 12 is chosen from 18 married and 17 not married. Find probabilities for: (a) all married, (b) all not married, (c) 8 married & 4 not married, (d) 6 married & 6 not married.

See Solution

Problem 21408

Find probabilities for a 5-card hand from a 52-card deck: a. Exactly 2 kings: $P(2 \text{ Kings})=$ b. All 5 hearts: $P(\text{ All hearts})=$

See Solution

Problem 21409

Klingon Widgets has fixed assets of \$3.6M, liabilities of \$790K, and NWC of \$138K.
a. Find the book value of total assets. b. Calculate the sum of market value of NWC and fixed assets.

See Solution

Problem 21410

Find the length $M P$ , where $M$ is the midpoint of $CA$ and $P$ is where the angle bisector of $\angle B$ intersects $CA$ .

See Solution

Problem 21411

Find the supplement of an angle measuring $65^{\circ}$ and the complement of an angle measuring $29^{\circ}$ .

See Solution

Problem 21412

Find the midpoint $M$ of the line segment between points $J(-3,2)$ and $K(9,2)$ . Also, find $M$ for $J(1,3)$ and $K(7,5)$ .

See Solution

Problem 21413

Evaluate $a+b+c d$ for $a=\frac{7}{8}, b=-\frac{7}{16}, c=0.8, d=\frac{1}{4}$ . Write your answer as a fraction.

See Solution

Problem 21414

Find the probabilities for a 5-card hand from a 52-card deck:
a. Exactly 2 kings: $P(2 \text{ Kings})=0.0399$ b. All hearts: $P(\text{ All hearts})=0.000495$ c. Exactly 4 face cards: $P(4 \text{ Face Cards})=$

See Solution

Problem 21415

Four boys have heights of $152.0 \mathrm{~cm}, 150.75 \mathrm{~cm}, 149.5 \mathrm{~cm}$ , and $149.25 \mathrm{~cm}$ . Find Mark's height.

See Solution

Problem 21416

Find the probability of selecting 12 jurors from 18 married and 17 not married people: (a) all married, (b) all not married.

See Solution

Problem 21417

Theresa has \ $12 in nickels and quarters. Find the number of nickels ($ n $) and quarters ($ q $) she has, given$ 0.05n + 0.25q = 12$.

See Solution

Problem 21418

A jury has 18 married and 17 not married. Find probabilities for: (a) all married, (b) all not married, (c) 8 married & 4 not, (d) 6 married & 6 not.

See Solution

Problem 21419

Evaluate $(f \circ g)(3)$ for $f(x)=\sqrt{x+16}$ and $g(x)=x^{2}$ . Simplify your answer.

See Solution

Problem 21420

Find $(f \circ g)(3)$ and $(g \circ f)(-2)$ for $f(x)=\sqrt{x+16}$ and $g(x)=x^{2}$ .

See Solution

Problem 21421

Devon lost 3 pounds per month for 7 months. What is the total weight change? Use $3 \times 7$ .

See Solution

Problem 21422

Find the integral of the function: $\int 4 x \cos (2-3 x) d x$

See Solution

Problem 21423

Evaluate the function $g(x)=3 x^{2}-5$ at the following: (a) $g(-4)$ , (b) $g(b)$ , (c) $g(x^{3})$ , (d) $g(3 x-4)$ .

See Solution

Problem 21424

Theresa has \$12 in nickels and quarters, with equal numbers of each. How many coins does she have?

See Solution

Problem 21425

Evaluate $g(x)=3 x^{2}-5$ for: (a) $g(-4)$ , (b) $g(b)$ , (c) $g(x^{3})$ , (d) $g(3 x-4)$ .

See Solution

Problem 21426

Evaluate the following using $f(x)=7x-3$ and $g(x)=|x|$ : (a) $(f \circ g)(-4)$ (b) $(g \circ f)(6)$ Find $(f \circ g)(-4)=$ (Simplify your answer.)

See Solution

Problem 21427

Mr. Jansen's class has 16 students, and total admission was \$320 at \$8 each. How many students are in Mrs. Schmidt's class?

See Solution

Problem 21428

Point $S$ is the midpoint of $\overline{R T}$ . Given $R S=6 y+3$ and $S T=3 y+9$ , find $y$ , $R S$ , and $R T$ .

See Solution

Problem 21429

Calculate the atomic mass of magnesium using isotopes with masses $23.99$ , $24.99$ , and $25.98$ amu and abundances $78.99\%$ , $10.00\%$ , $11.01\%$ . Round to two decimal places.

See Solution

Problem 21430

Find $y$ if point $S$ is the midpoint of $\overline{R T}$ with $R S=6y+3$ and $S T=3y+9$ . Also find $R S$ and $R T$ .

See Solution

Problem 21431

Round $2,722$ to the closest ten.

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Problem 21432

Round the number $88,999$ to the closest ten.

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Problem 21433

Find the missing endpoint of segment $\overline{AB}$ given midpoint $M$ and one endpoint: 13. $M(2,5)$ , $A(2,3)$ ; 14. $M(-4,-4)$ , $B(-1,x_{2},y_{2})$ .

See Solution

Problem 21434

Evaluate $3 x^{2}+4 y^{0} \cdot x-1$ for $x=4$ and $y=5$ .

See Solution

Problem 21435

Solve the equation $-6x + 39 = 7x$ and express your answer as an integer, fraction, or rounded decimal.

See Solution

Problem 21436

Round $706,421$ to the nearest ten.

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Problem 21437

Solve the equation $-\frac{1}{3} w+\frac{5}{8}=\frac{1}{6} w+\frac{7}{8}$ and simplify to an integer, fraction, or two-decimal decimal.

See Solution

Problem 21438

Find point $P$ that divides segment $\overline{AB}$ with endpoints (6, 16) in ratio 4:1 and (-9, 6) in ratio 1:4.

See Solution

Problem 21439

Schulster's Shoes needs 1050 sq ft for offices and 600 sq ft for shipping. Shoes, Shoes, Shoes! needs 800 sq ft for offices and 400 sq ft for shipping. If Schulster's requires 5 sq ft per box and Shoes, Shoes, Shoes! needs 8 sq ft, solve for $x$ in: $1050 + 600 + 5x = 800 + 400 + 8x$

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Problem 21440

Solve the equation $-\frac{3}{8}(y-5)=-\frac{2}{3}(y+2)$ and simplify to an integer, fraction, or rounded decimal.

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Problem 21441

Solve for $x$ in the equation: $4(7-x)-(4x+2)=6+4(x-7)$ . Provide your answer as an integer or simplified fraction.

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Problem 21442

Solve the equation $-6x + 4 = -9x + 7$ and express your answer as an integer, fraction, or decimal (2 decimal places).

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Problem 21443

Solve the equation $y - 4y + 3 = -5(y + 3.4)$ and simplify to an integer, fraction, or decimal (2 decimal places).

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Problem 21444

Solve the inequality $5z - 5 < 3z + 7$ and express the solution in interval notation.

See Solution

Problem 21445

Solve the inequality $2(3 z-4) \geq-2 z+16$ and express the solution in interval notation.

See Solution

Problem 21446

Solve the inequality $\frac{2 x+3}{4} \geq \frac{x-4}{3}+1$ and express the solution in interval notation.

See Solution

Problem 21447

Find the perimeter equation for a rectangle with perimeter $120 \mathrm{~cm}$ and solve for $x$ . Options: a. $2x+5+6x-1=120$ , b. $4(6x-1)=120$ , c. $2(6x-1)+2(2x+5)=120$ , d. $(2x+5)(6x-1)=120$ .

See Solution

Problem 21448

In a class of 200 students, boys to girls ratio is 2:3. Junior class has same boys, ratio is 5:4. Find junior class size.

See Solution

Problem 21449

Solve the equations: $2x + 5 + 6x - 1 = 120$ and $2(6x - 1) + 2(2x + 5) = 120$ .

See Solution

Problem 21450

Solve the inequality $\frac{2 x+3}{4} \geq \frac{x-4}{3}+1$ and express the solution in interval notation.

See Solution

Problem 21451

Solve for x in the equation: $4(6x - 1) = 120$ .

See Solution

Problem 21452

Solve for $x$ in the equation: $5x + 3 = x + 23$ .

See Solution

Problem 21453

Solve the equation $(2 x+5)(6 x-1)=120$ .

See Solution

Problem 21454

Calculate the area of a circle with radius 6 m using the formula $A = \pi r^2$ .

See Solution

Problem 21455

Find the area of a circle with a diameter of 20 yards using $\pi \approx 3.14$ . Choices: $31.4 \mathrm{yd}^{2}$ , $125.6 \mathrm{yd}^{2}$ , $314 \mathrm{yd}^{2}$ , $1,256 \mathrm{yd}^{2}$ .

See Solution

Problem 21456

Solve the inequality $-3 x \leq 9$ and express the solution in interval notation.

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Problem 21457

Calculate the area of a circle with a 14-inch radius using $\pi \approx 3.14$ . Round to the nearest tenth. Options: A) 44.0 in.² B) 87.9 in.² C) 153.9 in.² D) 615.4 in.²

See Solution

Problem 21458

Calculate the area of a circle with radius 2.5 cm using $\pi \approx 3.14$ . Round to the nearest tenth in $\mathrm{cm}^2$ .

See Solution

Problem 21459

Solve for $x$ in the equation $9(4-x)=2(x+7)$ .

See Solution

Problem 21460

Find the area of a circle with a diameter of $2.4 \mathrm{~cm}$ using $\pi \approx 3.14$ . Round to the nearest tenth.

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Problem 21461

Find the standard deviation for the sample $\{x\}=3,4,7,9,11$ using an unbiased formula.

See Solution

Problem 21462

How many hours to drain a pool with 820 gallons if $G=4t+100$ ?

See Solution

Problem 21463

Find the unbiased standard deviation for the sample: $\{x\}=5,10,2,3$

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Problem 21464

Solve the inequality -5b > 0 and graph the solution.

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Problem 21465

Solve the inequality and graph the solution: $-5b > 0$ .

See Solution

Problem 21466

Solve the equation: $2x + 4 - \frac{3}{2}x = \frac{1}{3}(x + 5)$ .

See Solution

Problem 21467

Calculate $-\frac{1}{2} + \left(-\frac{3}{2}\right)$ .

See Solution

Problem 21468

Find the area of a rectangle that is double the area of a right triangle with base $b = 8$ and height $h = 6$ .

See Solution

Problem 21469

Find the sum of -8, -3, and 12: $-8 + -3 + 12 =$

See Solution

Problem 21470

Solve for $k$ in the equation $\frac{6 k+4}{2}=2 k-11$ .

See Solution

Problem 21471

Solve the inequality $-2 x \geq 18$ and express the solution in interval notation.

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Problem 21472

Evaluate $x^{2} + 12 \div y$ for $x=8$ and $y=-3$ using GEMDAS.

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Problem 21473

Xavier saw 23 birds on Monday, 14 each on Tuesday and Wednesday, 16 on Thursday, and 8 on Friday. What is the average?

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Problem 21474

Solve the equation $-(-8-3 x)=-2(1-x)+6 x$ .

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Problem 21475

Calculate the surface area of a rectangular prism with length 6, width 16, and height 3 using $2lw + 2lh + 2wh$ .

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Problem 21476

How many tumblers must the Lafayette Band Boosters sell to break even if they bought 300 at \$15 and sell for \$20 each?

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Problem 21477

Find the height of a triangle with area 10.5 sq ft and base 6 ft. Options: 1.14 ft, 3.5 ft, 4.5 ft, 63 ft.

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Problem 21478

How much felt is needed for 60 triangular flags with height 16 units and base 24 units? Calculate the area.

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Problem 21479

Find the cost to make one triangular flag with base 3.5 ft and height 2.5 ft, fabric costs \$0.40 per sq ft.

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Problem 21480

In a city vote with a yes to no ratio of 7 to 4 and 8514 total votes, find the number of no votes.

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Problem 21481

Solve the inequality $\frac{2 x+5}{4} \geq \frac{x+3}{3}+1$ and express the solution in interval notation.

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Problem 21482

An angle is $108^{\circ}$ less than its supplementary angle. Find both angle measures. $72{ }^{\circ}$ and

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Problem 21483

Calculate the area of a right triangle with base 6 inches and height 6 inches using the formula: $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$ .

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Problem 21484

Find the ordered pair for $y=x^{3}+9$ when $x=-3$ and describe its graph.

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Problem 21485

An angle is 14 times its complementary angle. Find the measure of both angles.

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Problem 21486

Calculate the circumference of a circle with radius 9 units using the formula $C = 2\pi r$ .

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Problem 21487

In a city vote with a yes to no ratio of 7 to 4 and 8514 total votes, how many no votes were there?

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Problem 21488

Calculate the area of a park with width 26 units and length 15 units using $Area = Length \times Width$ .

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Problem 21489

To make 532 liters of Petrolyn oil, how many liters of synthetic oil are needed if the ratio is 4 liters natural to 3 liters synthetic?

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Problem 21490

An angle is 14 times its complementary angle. Find the measure of both angles.

See Solution

Problem 21491

Solve the inequality and provide the solution set as an interval and a graph: $m-2(m-8)+3 \leq 3 m-1$ .

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Problem 21492

The ratio of union to nonunion members is 3:5. If there are 85 nonunion members, find the total number of employees.

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Problem 21493

A fish serving has $50 \mathrm{~g}$ protein and $4 \mathrm{~g}$ fat. Calculate total kcal: $4 \mathrm{kcal/g}$ for protein and $9 \mathrm{kcal/g}$ for fat.

See Solution

Problem 21494

An angle is 17 times its supplementary angle. Find the measure of both angles.

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Problem 21495

Solve and graph the compound inequality: $-2<\frac{3 x-6}{6}<4$ .

See Solution

Problem 21496

An angle is $55.8^{\circ}$ less than its complementary angle. Find the measures of both angles.

See Solution

Problem 21497

For a field trip, the adult to student ratio is 2:9.
d) If 45 students attend, how many adults are needed? e) If 18 adults volunteer, how many students can attend? f) What two equivalent ratios to $2:9$ can you find?

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Problem 21498

Find the 4-digit ATM code for Mr. Nolan using the prime factors of 84 in increasing order.

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Problem 21499

Solve the equation and simplify: $3(x+3)+x = 2x+15$ . Find $x$ .

See Solution

Problem 21500

If 45 students attend, how many adults are needed if the ratio of adults to students is 2 to 9? Use a tape diagram and ratio table.

See Solution

1 ...212 213 214 215 216 217 218 ...307

Solve

Problem 21401

In 1980, CPI was 82.4 and Ivan's house cost \$ 71,900. What was its cost in 1970 when CPI was 38.8? A. \$ 33,900 B. \$ 38,000 C. \$ 38,800 D. \$ 82,400

Problem 21402

Find the probability of selecting 12 jurors from 18 married and 17 not married people: (a) all married; (b) all not married. Provide answer as a fraction or decimal (4 places).

Problem 21403

What is the cost difference for a one-night stay at Sleepy Head Motel with breakfast ($142\$ 142$142) vs. without ($119\$ 119$119)?

Problem 21404

Find the change in net working capital (NWC) from 2021 to 2022 using current assets and liabilities: 2021: assets = \$1,165, liabilities = \$945; 2022: assets = \$1,380, liabilities = \$1,055.

Problem 21405

Find (f∘g)(x)(f \circ g)(x)(f∘g)(x) and (g∘f)(x)(g \circ f)(x)(g∘f)(x) for f(x)=−10x+15f(x)=-10x+15f(x)=−10x+15 and g(x)=7x+9g(x)=7x+9g(x)=7x+9, including their domains.

Problem 21406

Find the length yyy of a room's floor if its width is y−5y - 5y−5 and the perimeter is 4y+14y + 14y+1 meters. Show your work.

Problem 21407

A jury of 12 is chosen from 18 married and 17 not married. Find probabilities for: (a) all married, (b) all not married, (c) 8 married & 4 not married, (d) 6 married & 6 not married.

Problem 21408

Find probabilities for a 5-card hand from a 52-card deck: a. Exactly 2 kings: P(2 Kings)=P(2 \text{ Kings})= P(2 Kings)= b. All 5 hearts: P( All hearts)=P(\text{ All hearts})= P( All hearts)=

Problem 21409

Klingon Widgets has fixed assets of \$3.6M, liabilities of \$790K, and NWC of \$138K. a. Find the book value of total assets. b. Calculate the sum of market value of NWC and fixed assets.

Problem 21410

Find the length MPM PMP, where MMM is the midpoint of CACACA and PPP is where the angle bisector of ∠B\angle B∠B intersects CACACA.

Problem 21411

Find the supplement of an angle measuring 65∘65^{\circ}65∘ and the complement of an angle measuring 29∘29^{\circ}29∘.

Problem 21412

Find the midpoint MMM of the line segment between points J(−3,2)J(-3,2)J(−3,2) and K(9,2)K(9,2)K(9,2). Also, find MMM for J(1,3)J(1,3)J(1,3) and K(7,5)K(7,5)K(7,5).

Problem 21413

Evaluate a+b+cda+b+c da+b+cd for a=78,b=−716,c=0.8,d=14a=\frac{7}{8}, b=-\frac{7}{16}, c=0.8, d=\frac{1}{4}a=87​,b=−167​,c=0.8,d=41​. Write your answer as a fraction.

Problem 21414

Problem 21415

Four boys have heights of 152.0 cm,150.75 cm,149.5 cm152.0 \mathrm{~cm}, 150.75 \mathrm{~cm}, 149.5 \mathrm{~cm}152.0 cm,150.75 cm,149.5 cm, and 149.25 cm149.25 \mathrm{~cm}149.25 cm. Find Mark's height.

Problem 21416

Find the probability of selecting 12 jurors from 18 married and 17 not married people: (a) all married, (b) all not married.

Problem 21417

Theresa has \12innickelsandquarters.Findthenumberofnickels(12 in nickels and quarters. Find the number of nickels (12innickelsandquarters.Findthenumberofnickels(n)andquarters() and quarters ()andquarters(q)shehas,given) she has, given )shehas,given0.05n + 0.25q = 12$.

Problem 21418

A jury has 18 married and 17 not married. Find probabilities for: (a) all married, (b) all not married, (c) 8 married & 4 not, (d) 6 married & 6 not.

Problem 21419

Evaluate (f∘g)(3)(f \circ g)(3)(f∘g)(3) for f(x)=x+16f(x)=\sqrt{x+16}f(x)=x+16​ and g(x)=x2g(x)=x^{2}g(x)=x2. Simplify your answer.

Problem 21420

Find (f∘g)(3)(f \circ g)(3)(f∘g)(3) and (g∘f)(−2)(g \circ f)(-2)(g∘f)(−2) for f(x)=x+16f(x)=\sqrt{x+16}f(x)=x+16​ and g(x)=x2g(x)=x^{2}g(x)=x2.

Problem 21421

Devon lost 3 pounds per month for 7 months. What is the total weight change? Use 3×73 \times 73×7.

Problem 21422

Find the integral of the function: ∫4xcos⁡(2−3x)dx\int 4 x \cos (2-3 x) d x∫4xcos(2−3x)dx

Problem 21423

Evaluate the function g(x)=3x2−5g(x)=3 x^{2}-5g(x)=3x2−5 at the following: (a) g(−4)g(-4)g(−4), (b) g(b)g(b)g(b), (c) g(x3)g(x^{3})g(x3), (d) g(3x−4)g(3 x-4)g(3x−4).

Problem 21424

Theresa has \$12 in nickels and quarters, with equal numbers of each. How many coins does she have?

Problem 21425

Evaluate g(x)=3x2−5g(x)=3 x^{2}-5g(x)=3x2−5 for: (a) g(−4)g(-4)g(−4), (b) g(b)g(b)g(b), (c) g(x3)g(x^{3})g(x3), (d) g(3x−4)g(3 x-4)g(3x−4).

Problem 21426

Evaluate the following using f(x)=7x−3f(x)=7x-3f(x)=7x−3 and g(x)=∣x∣g(x)=|x|g(x)=∣x∣: (a) (f∘g)(−4)(f \circ g)(-4)(f∘g)(−4) (b) (g∘f)(6)(g \circ f)(6)(g∘f)(6) Find (f∘g)(−4)=(f \circ g)(-4)=(f∘g)(−4)= (Simplify your answer.)

Problem 21427

Mr. Jansen's class has 16 students, and total admission was \$320 at \$8 each. How many students are in Mrs. Schmidt's class?

Problem 21428

Point SSS is the midpoint of RT‾\overline{R T}RT. Given RS=6y+3R S=6 y+3RS=6y+3 and ST=3y+9S T=3 y+9ST=3y+9, find yyy, RSR SRS, and RTR TRT.

Problem 21429

Calculate the atomic mass of magnesium using isotopes with masses 23.9923.9923.99, 24.9924.9924.99, and 25.9825.9825.98 amu and abundances 78.99%78.99\%78.99%, 10.00%10.00\%10.00%, 11.01%11.01\%11.01%. Round to two decimal places.

Problem 21430

Find yyy if point SSS is the midpoint of RT‾\overline{R T}RT with RS=6y+3R S=6y+3RS=6y+3 and ST=3y+9S T=3y+9ST=3y+9. Also find RSR SRS and RTR TRT.

Problem 21431

Round 2,7222,7222,722 to the closest ten.

Problem 21432

Round the number 88,99988,99988,999 to the closest ten.

Problem 21433

Find the missing endpoint of segment AB‾\overline{AB}AB given midpoint MMM and one endpoint: 13. M(2,5)M(2,5)M(2,5), A(2,3)A(2,3)A(2,3); 14. M(−4,−4)M(-4,-4)M(−4,−4), B(−1,x2,y2)B(-1,x_{2},y_{2})B(−1,x2​,y2​).

Problem 21434

Evaluate 3x2+4y0⋅x−13 x^{2}+4 y^{0} \cdot x-13x2+4y0⋅x−1 for x=4x=4x=4 and y=5y=5y=5.

Problem 21435

Solve the equation −6x+39=7x-6x + 39 = 7x−6x+39=7x and express your answer as an integer, fraction, or rounded decimal.

Problem 21436

Round 706,421706,421706,421 to the nearest ten.

Problem 21437

Solve the equation −13w+58=16w+78-\frac{1}{3} w+\frac{5}{8}=\frac{1}{6} w+\frac{7}{8}−31​w+85​=61​w+87​ and simplify to an integer, fraction, or two-decimal decimal.

Problem 21438

Find point PPP that divides segment AB‾\overline{AB}AB with endpoints (6, 16) in ratio 4:1 and (-9, 6) in ratio 1:4.

Problem 21439

Problem 21440

Solve the equation −38(y−5)=−23(y+2)-\frac{3}{8}(y-5)=-\frac{2}{3}(y+2)−83​(y−5)=−32​(y+2) and simplify to an integer, fraction, or rounded decimal.

Problem 21441

Find the probability of selecting 12 jurors from 18 married and 17 not married people:
(a) all married; (b) all not married.
Provide answer as a fraction or decimal (4 places).

What is the cost difference for a one-night stay at Sleepy Head Motel with breakfast ( $\$ 142$ ) vs. without ( $\$ 119$ )?

Find the change in net working capital (NWC) from 2021 to 2022 using current assets and liabilities:
2021: assets = \$1,165, liabilities = \$945; 2022: assets = \$1,380, liabilities = \$1,055.

Find $(f \circ g)(x)$ and $(g \circ f)(x)$ for $f(x)=-10x+15$ and $g(x)=7x+9$ , including their domains.

Find the length $y$ of a room's floor if its width is $y - 5$ and the perimeter is $4y + 1$ meters. Show your work.

Find probabilities for a 5-card hand from a 52-card deck: a. Exactly 2 kings: $P(2 \text{ Kings})=$ b. All 5 hearts: $P(\text{ All hearts})=$

Klingon Widgets has fixed assets of \$3.6M, liabilities of \$790K, and NWC of \$138K.
a. Find the book value of total assets. b. Calculate the sum of market value of NWC and fixed assets.

Find the length $M P$ , where $M$ is the midpoint of $CA$ and $P$ is where the angle bisector of $\angle B$ intersects $CA$ .

Find the supplement of an angle measuring $65^{\circ}$ and the complement of an angle measuring $29^{\circ}$ .

Find the midpoint $M$ of the line segment between points $J(-3,2)$ and $K(9,2)$ . Also, find $M$ for $J(1,3)$ and $K(7,5)$ .

Evaluate $a+b+c d$ for $a=\frac{7}{8}, b=-\frac{7}{16}, c=0.8, d=\frac{1}{4}$ . Write your answer as a fraction.

Four boys have heights of $152.0 \mathrm{~cm}, 150.75 \mathrm{~cm}, 149.5 \mathrm{~cm}$ , and $149.25 \mathrm{~cm}$ . Find Mark's height.

Theresa has \ $12 in nickels and quarters. Find the number of nickels ($ n $) and quarters ($ q $) she has, given$ 0.05n + 0.25q = 12$.

Evaluate $(f \circ g)(3)$ for $f(x)=\sqrt{x+16}$ and $g(x)=x^{2}$ . Simplify your answer.

Find $(f \circ g)(3)$ and $(g \circ f)(-2)$ for $f(x)=\sqrt{x+16}$ and $g(x)=x^{2}$ .

Devon lost 3 pounds per month for 7 months. What is the total weight change? Use $3 \times 7$ .

Find the integral of the function: $\int 4 x \cos (2-3 x) d x$

Evaluate the function $g(x)=3 x^{2}-5$ at the following: (a) $g(-4)$ , (b) $g(b)$ , (c) $g(x^{3})$ , (d) $g(3 x-4)$ .

Evaluate $g(x)=3 x^{2}-5$ for: (a) $g(-4)$ , (b) $g(b)$ , (c) $g(x^{3})$ , (d) $g(3 x-4)$ .

Evaluate the following using $f(x)=7x-3$ and $g(x)=|x|$ : (a) $(f \circ g)(-4)$ (b) $(g \circ f)(6)$ Find $(f \circ g)(-4)=$ (Simplify your answer.)

Point $S$ is the midpoint of $\overline{R T}$ . Given $R S=6 y+3$ and $S T=3 y+9$ , find $y$ , $R S$ , and $R T$ .

Calculate the atomic mass of magnesium using isotopes with masses $23.99$ , $24.99$ , and $25.98$ amu and abundances $78.99\%$ , $10.00\%$ , $11.01\%$ . Round to two decimal places.

Find $y$ if point $S$ is the midpoint of $\overline{R T}$ with $R S=6y+3$ and $S T=3y+9$ . Also find $R S$ and $R T$ .

Round $2,722$ to the closest ten.

Round the number $88,999$ to the closest ten.

Find the missing endpoint of segment $\overline{AB}$ given midpoint $M$ and one endpoint: 13. $M(2,5)$ , $A(2,3)$ ; 14. $M(-4,-4)$ , $B(-1,x_{2},y_{2})$ .

Evaluate $3 x^{2}+4 y^{0} \cdot x-1$ for $x=4$ and $y=5$ .

Solve the equation $-6x + 39 = 7x$ and express your answer as an integer, fraction, or rounded decimal.

Round $706,421$ to the nearest ten.

Solve the equation $-\frac{1}{3} w+\frac{5}{8}=\frac{1}{6} w+\frac{7}{8}$ and simplify to an integer, fraction, or two-decimal decimal.

Find point $P$ that divides segment $\overline{AB}$ with endpoints (6, 16) in ratio 4:1 and (-9, 6) in ratio 1:4.

Solve the equation $-\frac{3}{8}(y-5)=-\frac{2}{3}(y+2)$ and simplify to an integer, fraction, or rounded decimal.

Solve for $x$ in the equation: $4(7-x)-(4x+2)=6+4(x-7)$ . Provide your answer as an integer or simplified fraction.

Solve the equation $-6x + 4 = -9x + 7$ and express your answer as an integer, fraction, or decimal (2 decimal places).

Solve the equation $y - 4y + 3 = -5(y + 3.4)$ and simplify to an integer, fraction, or decimal (2 decimal places).

Solve the inequality $5z - 5 < 3z + 7$ and express the solution in interval notation.

Solve the inequality $2(3 z-4) \geq-2 z+16$ and express the solution in interval notation.

Solve the inequality $\frac{2 x+3}{4} \geq \frac{x-4}{3}+1$ and express the solution in interval notation.

Solve the equations: $2x + 5 + 6x - 1 = 120$ and $2(6x - 1) + 2(2x + 5) = 120$ .

Solve the inequality $\frac{2 x+3}{4} \geq \frac{x-4}{3}+1$ and express the solution in interval notation.

Solve for x in the equation: $4(6x - 1) = 120$ .

Solve for $x$ in the equation: $5x + 3 = x + 23$ .

Solve the equation $(2 x+5)(6 x-1)=120$ .

Calculate the area of a circle with radius 6 m using the formula $A = \pi r^2$ .

Find the area of a circle with a diameter of 20 yards using $\pi \approx 3.14$ . Choices: $31.4 \mathrm{yd}^{2}$ , $125.6 \mathrm{yd}^{2}$ , $314 \mathrm{yd}^{2}$ , $1,256 \mathrm{yd}^{2}$ .

Solve the inequality $-3 x \leq 9$ and express the solution in interval notation.

Calculate the area of a circle with a 14-inch radius using $\pi \approx 3.14$ . Round to the nearest tenth. Options: A) 44.0 in.² B) 87.9 in.² C) 153.9 in.² D) 615.4 in.²

Calculate the area of a circle with radius 2.5 cm using $\pi \approx 3.14$ . Round to the nearest tenth in $\mathrm{cm}^2$ .

Solve for $x$ in the equation $9(4-x)=2(x+7)$ .

Find the area of a circle with a diameter of $2.4 \mathrm{~cm}$ using $\pi \approx 3.14$ . Round to the nearest tenth.

Find the standard deviation for the sample $\{x\}=3,4,7,9,11$ using an unbiased formula.

How many hours to drain a pool with 820 gallons if $G=4t+100$ ?

Find the unbiased standard deviation for the sample: $\{x\}=5,10,2,3$

Solve the inequality and graph the solution: $-5b > 0$ .

Solve the equation: $2x + 4 - \frac{3}{2}x = \frac{1}{3}(x + 5)$ .

Calculate $-\frac{1}{2} + \left(-\frac{3}{2}\right)$ .

Find the area of a rectangle that is double the area of a right triangle with base $b = 8$ and height $h = 6$ .

Find the sum of -8, -3, and 12: $-8 + -3 + 12 =$

Solve for $k$ in the equation $\frac{6 k+4}{2}=2 k-11$ .

Solve the inequality $-2 x \geq 18$ and express the solution in interval notation.

Evaluate $x^{2} + 12 \div y$ for $x=8$ and $y=-3$ using GEMDAS.

Solve the equation $-(-8-3 x)=-2(1-x)+6 x$ .