Question 1

A person's intelligence quotient (IQ) is determined by multiplying the quotient of his or her mental age and chronological age by 100. Find the IQ of a 16 - year - old child whose mental age is 20.

Accepted Answer

IQ is calculated as (Mental Age / Chronological Age) * 100. For this child, (20 / 16) * 100 = 125.

Question 2

British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepare 157 grams of a copper-silver alloy that is 9% copper by weight?

Accepted Answer

British sterling silver is 7.5% copper by weight, so 157 grams of British sterling silver contains 0.075 * 157 = 11.775 grams of copper. To prepare a 9% copper alloy, we need 0.09 * 157 = 14.13 grams of copper. Therefore, we need to add 14.13 - 11.775 = 2.355 grams of pure copper to 157 grams of British sterling silver.

Question 3

Solve the equation

Accepted Answer

The answer of Solve the equation 
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Question 4

Solve the equation

Accepted Answer

The answer of Solve the equation 
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Question 5

A student in an algebra course has test scores of 67, 80, 75, and 82. What score on the next test will raise the student's average to 80?

Accepted Answer

To find the score needed on the next test to achieve an average of 80, calculate the total score needed for five tests: 80 * 5 = 400. The current total is 67 + 80 + 75 + 82 = 304. The score needed on the next test is 400 - 304 = 96.

Question 6

A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $3 per foot and the cost of preparing the soil is $0.60 per ft ², determine the width of the garden that can be enclosed for $852.60.

Accepted Answer

The answer of A square vegetable garden is to be...

Question 7

Solve the equation by factoring.

Accepted Answer

The answer of Solve the equation by factoring. 
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Question 8

A consumer is trying to decide whether to purchase car A or car B. Car A costs $10,000 and has an mpg rating of 30, and insurance is $500 per year. Car B costs $11,600 and has an mpg rating of 50, and insurance is $550 per year. Assume that the consumer drives 15,000 miles per year and that the price of gas remains constant at $1.25 per gallon. Based only on these facts, determine how long it will take for the total cost of car B to become less than that of car A.

Accepted Answer

Car A's annual fuel cost is $625, and Car B's is $375. The annual cost difference is $300 in fuel and $50 in insurance, totaling $350. The initial cost difference is $1,600. It will take $1,600 / $350 ≈ 4.57 years for Car B to become cheaper. However, considering the total cost over time, it takes about 8 years for Car B to be less expensive.

Question 9

Find the values of x and y, where x and y are real numbers.

Accepted Answer

The answer of Find the values of x and y,...

Question 10

Solve the equation

Accepted Answer

The answer of Solve the equation 
...

Question 11

Solve the equation.

Accepted Answer

The answer of Solve the equation. 
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Question 12

Find the values of x and y, where x and y are real numbers.

Accepted Answer

The answer of Find the values of x and y,...

Question 13

Solve the inequality.

Accepted Answer

The answer of Solve the inequality. 
...

Question 14

Solve the equation.

Accepted Answer

The answer of Solve the equation. 
...

Question 15

Write the expression  in the form  , where a and b are real numbers.

Accepted Answer

The answer of Write the expression  in the form...

Question 16

Solve the formula for L.

Accepted Answer

The answer of Solve the formula for L. 
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Question 17

A person's intelligence quotient (IQ) is determined by multiplying the quotient of his or her mental age and chronological age by 100. Find the mental age of a person 18 years old whose IQ is 140.

Accepted Answer

The answer of A person's intelligence quotient (IQ) is determined...

Question 18

A bullet is fired horizontally at a target, and the sound of its impact is heard 1.3 seconds later. If the speed of the bullet is 3,000 ft/sec and the speed of sound is 1,100 ft/sec, how far away is the target?

Accepted Answer

The answer of A bullet is fired horizontally at a...

Question 19

Solve the equation by factoring.

Accepted Answer

The answer of Solve the equation by factoring. 
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Question 20

Solve the inequality.

Accepted Answer

The answer of Solve the inequality. 
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Quiz 2: Equations and Inequalities

A person's intelligence quotient (IQ) is determined by multiplying the quotient of his or her mental age and chronological age by 100. Find the IQ of a 16 - year - old child whose mental age is 20.

British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepare 157 grams of a copper-silver alloy that is 9% copper by weight?

Solve the equation

Solve the equation

A student in an algebra course has test scores of 67, 80, 75, and 82. What score on the next test will raise the student's average to 80?

A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $3 per foot and the cost of preparing the soil is $0.60 per ft 2 , determine the width of the garden that can be enclosed for $852.60.

Solve the equation by factoring.

Find the values of x and y, where x and y are real numbers.

Solve the equation

Solve the equation.

Find the values of x and y, where x and y are real numbers.

Solve the inequality.

Solve the equation.

Write the expression in the form , where a and b are real numbers.

Solve the formula for L.

A person's intelligence quotient (IQ) is determined by multiplying the quotient of his or her mental age and chronological age by 100. Find the mental age of a person 18 years old whose IQ is 140.

A bullet is fired horizontally at a target, and the sound of its impact is heard 1.3 seconds later. If the speed of the bullet is 3,000 ft/sec and the speed of sound is 1,100 ft/sec, how far away is the target?

Solve the equation by factoring.

Solve the inequality.

A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $3 per foot and the cost of preparing the soil is $0.60 per ft ², determine the width of the garden that can be enclosed for $852.60.