Word Problems

Problem 4101

Find coordinates of $X$ if midpoint $Y(-5,10)$ of $\overline{XZ}$ and $Z(5,6)$ . Round to nearest tenth.

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Problem 4102

Find point $M$ given midpoint $K(2,-1)$ and point $L(-9,4)$ . Round to the nearest tenth if needed.

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Problem 4103

Jackie takes 5 hours and Lisa takes 6 hours to paint. How long to paint together? Give the answer as a reduced fraction.

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Problem 4104

Find the real zeros and x-intercepts of $G(x)=(x+5)^{2}+7(x+5)+12$ . Are they the same or different?

See Solution

Problem 4105

A lake empties in 16 weeks and fills in 25 weeks. How long to empty it with both processes? Give your answer as a fraction.

See Solution

Problem 4106

Find the real zeros of $P(x)=x^{4}-6 x^{2}-16$ . What are the $x$ -intercepts?

See Solution

Problem 4107

Stacy has $3 \mathrm{lb}$ of grapes for 10 bowls. Each bowl needs 4 oz. Does she have enough? How much extra or needed?

See Solution

Problem 4108

Find the real zeros of $P(x)=x^{4}-4x^{2}-96$ . What are the $x$ -intercepts?

See Solution

Problem 4109

Find the zeros of the function $f(x)=8x^2+12x+3$ using the quadratic formula. What are the x-intercepts?

See Solution

Problem 4110

Mrs. Holidays bought 6 cans of milk and 7 boxes of cream, each costing \$2. What is the total cost?

See Solution

Problem 4111

John uses 5 tennis balls and Maya uses 3. How many tennis balls do they use in 3 practice games? Calculate: $3 \times (5 + 3)$ .

See Solution

Problem 4112

Hn uses 5 tennis balls and Maya uses 3. How many tennis balls do they use altogether in 3 practices?

See Solution

Problem 4113

Find the zeros of the function $f(x)=2x^{2}+2x-1$ using the quadratic formula. What are the $x$ -intercepts?

See Solution

Problem 4114

Cindy and Shirley can clean the house in 5 hours together. Shirley takes 5 times longer than Cindy. Find Cindy's time alone.

See Solution

Problem 4115

Use the Law of Syllogism to create a new conditional statement from these true statements: If $x<-2$ , then $|x|>2$ ; If $x>2$ , then $|x|>2$ .

See Solution

Problem 4116

If $a=3$ , then $5a=15$ . Use the Law of Syllogism to create a new conditional statement.

See Solution

Problem 4117

Compare monthly costs of two ISPs: Company A's costs for $x$ months and Company B's $y = 45x + 50$ . Which is cheaper?

See Solution

Problem 4118

Find the function $g$ that represents a vertical shrink by a factor of $\frac{1}{2}$ of $f(x)=-3|x-4|$ . $g(x)=$

See Solution

Problem 4119

If a figure is a square, what can we conclude about its angles and sides using the Law of Syllogism?

See Solution

Problem 4120

Use the Law of Syllogism to create a new conditional statement from these: If a figure is a square, then it has four congruent sides and four right angles.

See Solution

Problem 4121

Identify the logical law shown: If you miss practice, you won't start. You missed practice, so you won't start.

See Solution

Problem 4122

Create a new conditional statement using the Law of Syllogism from these true statements:
1. If a figure is a rhombus, then it is a parallelogram.
2. If a figure is a parallelogram, then it has two pairs of parallel sides.

See Solution

Problem 4123

A group has \$46.75 for parking (\$5.75) and tickets (\$10.25 each). How many can attend the amusement park?

See Solution

Problem 4124

A rock is thrown up at 12 m/s from a 42 m cliff. When is it 12 m above ground? Round to two decimal places.

See Solution

Problem 4125

What was the hourly labor cost if Serenity paid $\$ 309.50$ total, with $\$ 62$ for parts and 4.5 hours of work?

See Solution

Problem 4126

Amira spends \$51.40 total, \$6.18 on cookies, and buys 7 equal bags of onions. Find the cost per bag of onions.

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Problem 4127

Find the central angle $\theta$ in radians given $\mathrm{s}=12 \mathrm{~cm}$ and $\mathrm{r}=4 \mathrm{~cm}$ . $\theta=$

See Solution

Problem 4128

Find the radius of a circle with a central angle of $30^{\circ}$ that intercepts an arc of length $17 \mathrm{mi}$ . Radius in terms of $\pi$ .

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Problem 4129

Compare the initial fees of Carrier A (total costs: \ $500 for 3 months, \$650 for 6 months) and Carrier B ($ y=55x+300$).

See Solution

Problem 4130

Find the number of seats per row in a rectangular auditorium with 2184 seats, where seats exceed rows by 17.

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Problem 4131

For the function $f(x)=x^{2}+6x$ , find if it opens up or down, and determine the vertex and intercepts.

See Solution

Problem 4132

Find the percent of 3,408 students at Van Buren High with incomes between \$1,000 and \$2,000, and those under \$800.

See Solution

Problem 4133

Which number is closest to $\sqrt{66}$ ? (A) 9.1 (B) 8.8 (C) 8.2 (D) 8.1

See Solution

Problem 4134

Find the z-scores for vacation expenses of \$ 197, \$ 277, and \$ 310, given average \$ 247 and SD \$ 60.

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Problem 4135

Find the percentage of riders at Splash City Water Park who go on more than 10 rides, given a normal distribution with mean 8.4 and SD 2. Round to the nearest percent.

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Problem 4136

Calculate the mean of Ashley's friends' expenses: \$ 2,800, \$ 1,990, \$ 2,005, \$ 2,400, \$ 1,860, \$ 2,200, \$ 2,000. Is it higher or lower than \$ 2,110? What must Ashley spend for the average to be \$ 2,110?

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Problem 4137

Find the length of each edge of a square mirror with an area of 25 square feet.

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Problem 4138

The height of a building is proportional to floors. For 9 floors, height is 135 ft.
a. Find the height-to-floors ratio and its unit rate. Explain its meaning.
b. What would be the height for 15 floors?

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Problem 4139

At Van Buren High, students' summer incomes are normally distributed: mean \$1,751, SD \$421. Find: a. Percent with incomes between \$1,000 and \$2,000? b. Students with incomes less than \$800?

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Problem 4140

Find the probability of getting at least one question wrong when guessing on 5 multiple choice questions ( $P(\text{at least 1 wrong})$ ).

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Problem 4141

What is the probability that the next three blood donors all have Type A blood if $40\%$ of the population has it?

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Problem 4142

Determine which scenario requires permutations to count the arrangements: A, B, C, or D.

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Problem 4143

Kate has $\frac{2}{3}$ gallon of popcorn. How many $\frac{1}{6}$ -gallon bags can she fill? Show $\frac{2}{3}$ in 3 ways.

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Problem 4144

Calculate the expected winnings when rolling a die: win \$25 for even, \$5 for second even, lose for odd.

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Problem 4145

Find the atomic weight of an element with isotopes: $120.9038 \mathrm{amu}$ (57.25\% abundance) and $122.8831 \mathrm{amu}$ .

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Problem 4146

Round 92 to the nearest hundred and show your reasoning on a number line. $92 \approx$

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Problem 4147

Round 3,492 to the nearest hundred using a number line. What is the result? $3,492 \approx$

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Problem 4148

Write the nuclear equation for beta decay of ${ }_{82}^{210} \mathrm{~Pb}$ . Options include:
1. ${ }_{82}^{210} \mathrm{~Pb} \rightarrow{ }^{2}{ }_{-1}^{0} \beta+{ }_{84}^{210} \mathrm{Po}$
2. None of these
3. ${ }_{82}^{210} \mathrm{~Pb}+{ }_{-1}^{0} \beta \longrightarrow{ }_{81}^{210} \mathrm{Tl}$
4. ${ }_{82}^{210} \mathrm{~Pb} \rightarrow{ }_{-1}^{0} \beta+{ }_{84}^{210} \mathrm{At}$
5. ${ }_{82}^{210} \mathrm{~Pb} \rightarrow{ }_{2}^{4} \beta+{ }^{2010} \mathrm{Hg}$
6. ${ }_{82}^{210} \mathrm{pb} \longrightarrow{ }^{0} \beta+{ }^{210} \mathrm{p} i$
7. ${ }^{210} \mathrm{~Pb}, \frac{110+210}{811}$

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Problem 4149

Find the sum of the weighted average and the mode of these home costs: 6 homes at \$65000, 8 homes at \$85000, 6 homes at \$105000.

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Problem 4150

A store owner has 57.4 pounds of candy. If he divides it into 7 boxes, how many pounds will each box contain?

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Problem 4151

John worked 5.9 hours daily for 5 days. Calculate the total hours worked: $5.9 \times 5$ .

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Problem 4152

Lisa spent \$8.74 on grapes at \$0.76 per pound. How many pounds did she buy?

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Problem 4153

What percent of the 30 computers (14 desktops and 16 laptops) are laptops?

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Problem 4154

Find an increasing exponential function with the same vertical intercept as $f(x)=0.3x+2$ when $x=0$ .

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Problem 4155

Kai rides his bike $1850 \mathrm{~m}$ in $30 \mathrm{~min}$ . Find his average speed in km/h.

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Problem 4156

A bacterial colony of 1000 doubles in 12 hours. Find growth rate $k$ and time to reach 200,000 bacteria.

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Problem 4157

Find the number of elements in Region III of a Venn diagram with sets A, B, and C given their sizes and intersections.

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Problem 4158

What percent of 30 computers are working if 3 are out of service?

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Problem 4159

Convert 7788 milligrams to kilograms. Use the conversion: 1 kg = 1,000,000 mg.

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Problem 4160

What is the probability that Myra picks a metallic blue bracelet from 22 total bracelets: 11 gold, 6 emerald, and the rest blue?

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Problem 4161

Wu saved \$75 for a \$250 bike. What percent of the bike's cost has he saved?

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Problem 4162

What percent tip did Mr. McCoy leave if he tipped \$14.40 on an \$80.00 meal?

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Problem 4163

What percent of a 40-day period was a student tardy if they were marked tardy 5 times? Calculate: $\frac{5}{40} \times 100$ .

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Problem 4164

Order 549 apples, 498 oranges, and 794 pears from greatest to least, then round each to the nearest hundred.

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Problem 4165

List four binary ionic compounds from $\mathrm{Fe}^{2+}, \mathrm{Ni}^{4+}, \mathrm{Br}^{-}, \mathrm{S}^{2-}$ .

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Problem 4166

Round the following numbers to the nearest tens: 63, 35, 821.

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Problem 4167

Jane saved \$800. Her sister has 10 times that. How much does Jane's sister have? Explain your reasoning.

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Problem 4168

Matthew has 30 stamps. If his father has 10 times that, how many stamps does his father have?

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Problem 4169

What is 475 rounded to the nearest hundred?

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Problem 4170

Identify the hyphen notation for the element with 15 electrons and 15 neutrons: 1. phosphorus-30 2. silicon-30 3. $\sin 0-60$ 4. vinospliomestal 5. flicrine-15 6. sulfur-3 7. oxyentistis

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Problem 4171

Explain your solution for $10 \times 4$ thousands using a place value chart.

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Problem 4172

Joy reads a 352-page novel: $\frac{3}{8}$ on Monday, 28 pages Tuesday, $\frac{1}{4}$ Wednesday. How many pages left?

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Problem 4173

Joy reads $\frac{3}{8}$ of a 352-page novel, then 28 pages, and $\frac{1}{4}$ on Wednesday. How many pages left?

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Problem 4174

What melide is formed when $^{50} \mathrm{Sr}$ undergoes $\beta$ decay?

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Problem 4175

Find the atomic weight of an element with isotopes: one at 120.90038 amu (57.25%) and another at 122.8831 amu.

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Problem 4176

The orchard produced 45,000 Granny Smith and 900 Red Delicious apples this year, which is 10 times last year's yield. Find last year's total.

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Problem 4177

Joy reads a 352-page novel: $\frac{3}{8}$ on Monday, 28 pages on Tuesday, and $\frac{1}{4}$ on Wednesday. Pages left?

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Problem 4178

Find the ratio of 8 weeks to 7 days as a simplified fraction.

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Problem 4179

If $-3 \leq x \leq 10$ , find the interval for $-x$ . Explain the changes in inequality when multiplying by -1.

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Problem 4180

A classmate claims the system $x=0, y=0, z=0$ has no solution. What is the mistake in their reasoning?

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Problem 4181

A group has 5 men and 7 women. 6 people are chosen.
a. How many ways to select 6 from 12? b. How many ways to select 6 women from 7? c. What is the probability all selected are women? a. Ways to select 6 from 12 is $\binom{12}{6}$ .

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Problem 4182

A group has 7 men and 6 women. Select 3 people. Find: a. Ways to choose 3 from 13. b. Ways to choose 3 women from 6. c. Probability all selected are women. a. The number of ways to select is $\binom{13}{3}$ .

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Problem 4183

Identify the center and radius of these circles: 1. $x^{2}+y^{2}=49$ 2. $5(x^{2}+y^{2})=125$ 3. $(x+4)^{2}+(y-2)^{2}=9$ . Find standard forms for: 4. center at origin, radius $5\sqrt{3}$ 5. center $(17,5)$ , radius 12 6. center $(-8,4)$ , contains $(-4,2)$ 7. center $(15,7)$ , tangent to $x$ -axis.

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Problem 4184

Find the probabilities for the following scenarios with 6 comics (A, B, C, D, E, F): a. B first, b. F second & A fourth, c. order B, F, A, C, D, E, d. D or E fifth.

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Problem 4185

What is the probability of winning a lottery by matching 5 numbers from 1 to 43 and 1 from 1 to 34 with one ticket?

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Problem 4186

On a number line, $A$ is at 5, $B$ at -10. If $C$ divides $AB$ in a $1:3$ ratio, find point $D$ on $BC$ that is $\frac{3}{8}$ of the way from $B$ to $C$ .

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Problem 4187

A box has 12 transistors (5 defective). Find the probability for selecting 5: a. all defective, b. none defective.

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Problem 4188

Macy earns \ $25 per lawn and \$10 per car. She wants at least \$120 in 7 hours. Find equations for lawns$ L $and cars$ C$.

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Problem 4189

In a lottery, players pick 4 numbers from 1 to 54 and 1 from 1 to 43. What is the probability of winning at least \$300?

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Problem 4190

Find the probability of selecting 2 Democrats and 2 Republicans from a committee of 4 chosen from 8 Democrats and 5 Republicans.

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Problem 4191

Calculate the number of diamond flushes in a 3-card poker hand and its probability. Also, find total 3-card hands.

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Problem 4192

Karen tests a bath fizzer weighing 5 ounces. It halves every minute. Find the equation $y=a(b)^{x}$ and weight after 3 minutes.

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Problem 4193

Antonio's county has a population of 66,500, decreasing by $4\%$ yearly. Model it with $y=a(b)^{x}$ and find $y$ in 10 years.

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Problem 4194

Dr. Powell gave Ruby 40 micrograms of medication. Model the remaining amount with $y=40(0.8)^{x}$ . How much is left after 4 hours?

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Problem 4195

Find the probability of drawing 3 clubs from a 52-card deck. Round to six decimal places.

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Problem 4196

Model Clover Hills' population with $y=a(b)^{x}$ , given it grew from 3,650 to 3,869 in 1 year. Predict after 4 years.

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Problem 4197

Find the probability that all 3 dealt cards are clubs from a 52-card deck.
$P(\text{all 3 cards are clubs}) = ?$

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Problem 4198

Find the probability of drawing 4 clubs from a 52-card deck. Round your answer to six decimal places.

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Problem 4199

A hand has 5 cards from a 52-card deck. Find: a. Total 5-card hands, b. Heart flush hands, c. Probability of a heart flush.

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Problem 4200

Write an exponential equation $y=a(b)^{x}$ to model Lime County's declining population, starting with 711,500.

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1 ...39 40 41 42 43 44 45 ...101

Word Problems

Problem 4101

Find coordinates of XXX if midpoint Y(−5,10)Y(-5,10)Y(−5,10) of XZ‾\overline{XZ}XZ and Z(5,6)Z(5,6)Z(5,6). Round to nearest tenth.

Problem 4102

Find point MMM given midpoint K(2,−1)K(2,-1)K(2,−1) and point L(−9,4)L(-9,4)L(−9,4). Round to the nearest tenth if needed.

Problem 4103

Jackie takes 5 hours and Lisa takes 6 hours to paint. How long to paint together? Give the answer as a reduced fraction.

Problem 4104

Find the real zeros and x-intercepts of G(x)=(x+5)2+7(x+5)+12G(x)=(x+5)^{2}+7(x+5)+12G(x)=(x+5)2+7(x+5)+12. Are they the same or different?

Problem 4105

A lake empties in 16 weeks and fills in 25 weeks. How long to empty it with both processes? Give your answer as a fraction.

Problem 4106

Find the real zeros of P(x)=x4−6x2−16P(x)=x^{4}-6 x^{2}-16P(x)=x4−6x2−16. What are the xxx-intercepts?

Problem 4107

Stacy has 3lb3 \mathrm{lb}3lb of grapes for 10 bowls. Each bowl needs 4 oz. Does she have enough? How much extra or needed?

Problem 4108

Find the real zeros of P(x)=x4−4x2−96P(x)=x^{4}-4x^{2}-96P(x)=x4−4x2−96. What are the xxx-intercepts?

Problem 4109

Find the zeros of the function f(x)=8x2+12x+3f(x)=8x^2+12x+3f(x)=8x2+12x+3 using the quadratic formula. What are the x-intercepts?

Problem 4110

Mrs. Holidays bought 6 cans of milk and 7 boxes of cream, each costing \$2. What is the total cost?

Problem 4111

John uses 5 tennis balls and Maya uses 3. How many tennis balls do they use in 3 practice games? Calculate: 3×(5+3)3 \times (5 + 3)3×(5+3).

Problem 4112

Hn uses 5 tennis balls and Maya uses 3. How many tennis balls do they use altogether in 3 practices?

Problem 4113

Find the zeros of the function f(x)=2x2+2x−1f(x)=2x^{2}+2x-1f(x)=2x2+2x−1 using the quadratic formula. What are the xxx-intercepts?

Problem 4114

Cindy and Shirley can clean the house in 5 hours together. Shirley takes 5 times longer than Cindy. Find Cindy's time alone.

Problem 4115

Use the Law of Syllogism to create a new conditional statement from these true statements: If x<−2x<-2x<−2, then ∣x∣>2|x|>2∣x∣>2; If x>2x>2x>2, then ∣x∣>2|x|>2∣x∣>2.

Problem 4116

If a=3a=3a=3, then 5a=155a=155a=15. Use the Law of Syllogism to create a new conditional statement.

Problem 4117

Compare monthly costs of two ISPs: Company A's costs for xxx months and Company B's y=45x+50y = 45x + 50y=45x+50. Which is cheaper?

Problem 4118

Find the function ggg that represents a vertical shrink by a factor of 12\frac{1}{2}21​ of f(x)=−3∣x−4∣f(x)=-3|x-4|f(x)=−3∣x−4∣. g(x)= g(x)= g(x)=

Problem 4119

If a figure is a square, what can we conclude about its angles and sides using the Law of Syllogism?

Problem 4120

Use the Law of Syllogism to create a new conditional statement from these: If a figure is a square, then it has four congruent sides and four right angles.

Problem 4121

Identify the logical law shown: If you miss practice, you won't start. You missed practice, so you won't start.

Problem 4122

Create a new conditional statement using the Law of Syllogism from these true statements: 1. If a figure is a rhombus, then it is a parallelogram. 2. If a figure is a parallelogram, then it has two pairs of parallel sides.

Problem 4123

A group has \$46.75 for parking (\$5.75) and tickets (\$10.25 each). How many can attend the amusement park?

Problem 4124

A rock is thrown up at 12 m/s from a 42 m cliff. When is it 12 m above ground? Round to two decimal places.

Problem 4125

What was the hourly labor cost if Serenity paid $309.50\$ 309.50$309.50 total, with $62\$ 62$62 for parts and 4.5 hours of work?

Problem 4126

Amira spends \$51.40 total, \$6.18 on cookies, and buys 7 equal bags of onions. Find the cost per bag of onions.

Problem 4127

Find the central angle θ\thetaθ in radians given s=12 cm\mathrm{s}=12 \mathrm{~cm}s=12 cm and r=4 cm\mathrm{r}=4 \mathrm{~cm}r=4 cm. θ=\theta= θ=

Problem 4128

Find the radius of a circle with a central angle of 30∘30^{\circ}30∘ that intercepts an arc of length 17mi17 \mathrm{mi}17mi. Radius in terms of π\piπ.

Problem 4129

Compare the initial fees of Carrier A (total costs: \500for3months,$650for6months)andCarrierB(500 for 3 months, \$650 for 6 months) and Carrier B (500for3months,$650for6months)andCarrierB(y=55x+300$).

Problem 4130

Find the number of seats per row in a rectangular auditorium with 2184 seats, where seats exceed rows by 17.

Problem 4131

For the function f(x)=x2+6xf(x)=x^{2}+6xf(x)=x2+6x, find if it opens up or down, and determine the vertex and intercepts.

Problem 4132

Find the percent of 3,408 students at Van Buren High with incomes between \$1,000 and \$2,000, and those under \$800.

Problem 4133

Which number is closest to 66\sqrt{66}66​? (A) 9.1 (B) 8.8 (C) 8.2 (D) 8.1

Problem 4134

Find the z-scores for vacation expenses of \$ 197, \$ 277, and \$ 310, given average \$ 247 and SD \$ 60.

Problem 4135

Find the percentage of riders at Splash City Water Park who go on more than 10 rides, given a normal distribution with mean 8.4 and SD 2. Round to the nearest percent.

Problem 4136

Calculate the mean of Ashley's friends' expenses: \$ 2,800, \$ 1,990, \$ 2,005, \$ 2,400, \$ 1,860, \$ 2,200, \$ 2,000. Is it higher or lower than \$ 2,110? What must Ashley spend for the average to be \$ 2,110?

Problem 4137

Find the length of each edge of a square mirror with an area of 25 square feet.

Problem 4138

The height of a building is proportional to floors. For 9 floors, height is 135 ft. a. Find the height-to-floors ratio and its unit rate. Explain its meaning.b. What would be the height for 15 floors?

Problem 4139

At Van Buren High, students' summer incomes are normally distributed: mean \$1,751, SD \$421. Find: a. Percent with incomes between \$1,000 and \$2,000? b. Students with incomes less than \$800?

Problem 4140

Find coordinates of $X$ if midpoint $Y(-5,10)$ of $\overline{XZ}$ and $Z(5,6)$ . Round to nearest tenth.

Find point $M$ given midpoint $K(2,-1)$ and point $L(-9,4)$ . Round to the nearest tenth if needed.

Find the real zeros and x-intercepts of $G(x)=(x+5)^{2}+7(x+5)+12$ . Are they the same or different?

Find the real zeros of $P(x)=x^{4}-6 x^{2}-16$ . What are the $x$ -intercepts?

Stacy has $3 \mathrm{lb}$ of grapes for 10 bowls. Each bowl needs 4 oz. Does she have enough? How much extra or needed?

Find the real zeros of $P(x)=x^{4}-4x^{2}-96$ . What are the $x$ -intercepts?

Find the zeros of the function $f(x)=8x^2+12x+3$ using the quadratic formula. What are the x-intercepts?

John uses 5 tennis balls and Maya uses 3. How many tennis balls do they use in 3 practice games? Calculate: $3 \times (5 + 3)$ .

Find the zeros of the function $f(x)=2x^{2}+2x-1$ using the quadratic formula. What are the $x$ -intercepts?

Use the Law of Syllogism to create a new conditional statement from these true statements: If $x<-2$ , then $|x|>2$ ; If $x>2$ , then $|x|>2$ .

If $a=3$ , then $5a=15$ . Use the Law of Syllogism to create a new conditional statement.

Compare monthly costs of two ISPs: Company A's costs for $x$ months and Company B's $y = 45x + 50$ . Which is cheaper?

Find the function $g$ that represents a vertical shrink by a factor of $\frac{1}{2}$ of $f(x)=-3|x-4|$ . $g(x)=$

Create a new conditional statement using the Law of Syllogism from these true statements:
1. If a figure is a rhombus, then it is a parallelogram.
2. If a figure is a parallelogram, then it has two pairs of parallel sides.

What was the hourly labor cost if Serenity paid $\$ 309.50$ total, with $\$ 62$ for parts and 4.5 hours of work?

Find the central angle $\theta$ in radians given $\mathrm{s}=12 \mathrm{~cm}$ and $\mathrm{r}=4 \mathrm{~cm}$ . $\theta=$

Find the radius of a circle with a central angle of $30^{\circ}$ that intercepts an arc of length $17 \mathrm{mi}$ . Radius in terms of $\pi$ .

Compare the initial fees of Carrier A (total costs: \ $500 for 3 months, \$650 for 6 months) and Carrier B ($ y=55x+300$).

For the function $f(x)=x^{2}+6x$ , find if it opens up or down, and determine the vertex and intercepts.

Which number is closest to $\sqrt{66}$ ? (A) 9.1 (B) 8.8 (C) 8.2 (D) 8.1

The height of a building is proportional to floors. For 9 floors, height is 135 ft.
a. Find the height-to-floors ratio and its unit rate. Explain its meaning.
b. What would be the height for 15 floors?

Find the probability of getting at least one question wrong when guessing on 5 multiple choice questions ( $P(\text{at least 1 wrong})$ ).

What is the probability that the next three blood donors all have Type A blood if $40\%$ of the population has it?

Kate has $\frac{2}{3}$ gallon of popcorn. How many $\frac{1}{6}$ -gallon bags can she fill? Show $\frac{2}{3}$ in 3 ways.

Find the atomic weight of an element with isotopes: $120.9038 \mathrm{amu}$ (57.25\% abundance) and $122.8831 \mathrm{amu}$ .

Round 92 to the nearest hundred and show your reasoning on a number line. $92 \approx$

Round 3,492 to the nearest hundred using a number line. What is the result? $3,492 \approx$

John worked 5.9 hours daily for 5 days. Calculate the total hours worked: $5.9 \times 5$ .

Find an increasing exponential function with the same vertical intercept as $f(x)=0.3x+2$ when $x=0$ .

Kai rides his bike $1850 \mathrm{~m}$ in $30 \mathrm{~min}$ . Find his average speed in km/h.

A bacterial colony of 1000 doubles in 12 hours. Find growth rate $k$ and time to reach 200,000 bacteria.

What percent of a 40-day period was a student tardy if they were marked tardy 5 times? Calculate: $\frac{5}{40} \times 100$ .

List four binary ionic compounds from $\mathrm{Fe}^{2+}, \mathrm{Ni}^{4+}, \mathrm{Br}^{-}, \mathrm{S}^{2-}$ .

Identify the hyphen notation for the element with 15 electrons and 15 neutrons: 1. phosphorus-30 2. silicon-30 3. $\sin 0-60$ 4. vinospliomestal 5. flicrine-15 6. sulfur-3 7. oxyentistis

Explain your solution for $10 \times 4$ thousands using a place value chart.

Joy reads a 352-page novel: $\frac{3}{8}$ on Monday, 28 pages Tuesday, $\frac{1}{4}$ Wednesday. How many pages left?

Joy reads $\frac{3}{8}$ of a 352-page novel, then 28 pages, and $\frac{1}{4}$ on Wednesday. How many pages left?

What melide is formed when $^{50} \mathrm{Sr}$ undergoes $\beta$ decay?