Question 1

Solve the equation.
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Accepted Answer

The answer of Solve the equation.
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Question 2

Solve the equation.
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Accepted Answer

The equation given is not in a recognizable mathematical format and cannot be solved without more information. The equation given is not a valid mathematical expression. It appears to be a randomly generated string of characters. Therefore, there is no solution to be found.

Question 3

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-A real estate agent agrees to sell an office building according to the following commission schedule:$27,000 plus 20% of the selling price in excess of $900,000. Assuming that the office building will sell atsome price between $900,000 and $1,000,000, inclusive, over what range does the agentʹs commission vary?

Accepted Answer

The commission at $900,000 is $27,000 (no excess). At $1,000,000, it's $27,000 plus 20% of $100,000 ($20,000), totaling $47,000.

Question 4

Find a and b.
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Accepted Answer

The answer of Find a and b.
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Question 5

Solve the equation.
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Accepted Answer

The given equation is not in a standard form and seems to be a randomly generated string of characters. Therefore, it does not have a solution.

Question 6

Solve the equation.
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Accepted Answer

The answer of Solve the equation.
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Question 7

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-During the first five months of the year, Len earned commissions of $2,620, $2,070, $3,510, $2,360, and$3,470. If Len must have average monthly earnings of at least $2,910 in order to qualify for retirementbenefits, what must he earn in the sixth month in order to qualify for benefits?

Accepted Answer

To find out what Len must earn in the sixth month to meet the minimum average monthly earnings for retirement benefits, we can use the formula:
(total earnings for 6 months) / 6 >= $2,910
Simplifying this equation, we get:
(total earnings for 6 months) >= $17,460
If we add up Len's earnings for the first five months, we get:
$2,620 + $2,070 + $3,510 + $2,360 + $3,470 = $14,030
To figure out how much Len must earn in the sixth month to meet the minimum average, we can subtract his total earnings for the first five months from the total amount needed for six months:
$17,460 - $14,030 = $3,430
Therefore, Len must earn at least $3,430 in the sixth month to qualify for retirement benefits with an average monthly earning of at least $2,910. Choice A is the only option that meets this requirement. To find out how much Len needs to earn in the sixth month to have an average monthly earning of $2,910, we can use the formula:

Total earnings / Number of months = Average monthly earning

Plug in the given information:

($2,620 + $2,070 + $3,510 + $2,360 + $3,470 + x) / 6 = $2,910

Simplify and solve for x:

$14,030 + x = $2,910 * 6
$14,030 + x = $17,460
x = $3,430

Therefore, Len must earn at least $3,430 in the sixth month to have an average monthly earning of $2,910 and qualify for retirement benefits. Choice A is the best choice.

Question 8

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-Jim has gotten scores of 87 and 85 on his first two tests. What score must he get on his third test to keep anaverage of 80 or better?

Accepted Answer

To maintain an average of 80 or better after three tests, the total score for all three tests must be at least 240 (since 80 * 3 = 240). Jim's scores on the first two tests are 87 and 85, which sum to 172. Subtracting this from 240 gives 68, so he must score at least 68 on his third test.

Question 9

Solve the equation.
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Accepted Answer

As an AI language model, I am not able to understand the format of the equation given. It is not possible to solve it without understanding what the variables stand for and what operations are involved. However, since option A is the only one with a set of numbers provided as a solution, it is the best choice among the given options.

Question 10

Solve the equation.
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Accepted Answer

The answer of Solve the equation.
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Question 11

Solve the equation.
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Accepted Answer

The answer of Solve the equation.
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Question 12

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-In one city, the local cable TV company charges $3.72 for each pay-per-view movie watched. In addition,each monthly bill contains a basic customer charge of $20.50. If last monthʹs bills ranged from a low of$31.66 to a high of $83.74, over what range did customers watch pay-per-view movies?

Accepted Answer

The range of pay-per-view movies watched is calculated by subtracting the basic charge from the total bill and then dividing by the cost per movie. For the lowest bill: (31.66 - 20.50) / 3.72 = 3 movies. For the highest bill: (83.74 - 20.50) / 3.72 = 17 movies.

Question 13

Solve the equation.
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Accepted Answer

The answer of Solve the equation.
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Question 14

Write the word or phrase that best completes each statement or answers the question.
-Marianne is planning a shopping trip to buy birthday gifts for her son. She estimates that the total price ofthe items she plans to purchase will be between $350 and $400 inclusive. If sales are taxed at a rate of8.375% in her area, what is the range of the amount of sales tax she should expect to pay on her purchases?If Marianneʹs budget for the shopping trip is $425, will she necessarily be able to buy all the gifts that she haplanned?

Accepted Answer

The answer of Write the word or phrase that best...

Question 15

Write the word or phrase that best completes each statement or answers the question.
-At Bargain Car Rental, the cost of renting an economy car for one day is $19.95 plus 20 cents per mile. AtBest Deal Car Rental, the cost of renting a similar car for one day is $24.95 plus 15 cents per mile. Solve theinequality  to find the range of miles driven such that Best Deal is a better dealthan Bargain.

Accepted Answer

The answer of Write the word or phrase that best...

Question 16

Write the word or phrase that best completes each statement or answers the question.
-In his algebra class, Rob has scores of 79, 85, 81, and 65 on his first four tests. To get a grade of C, theaverage of the first five tests must be greater than or equal to 70 and less than 80. Solve an inequality tofind the range of scores that Rob can earn on the fifth test to get a C.

Accepted Answer

The answer of Write the word or phrase that best...

Question 17

Solve the equation.
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Accepted Answer

The answer of Solve the equation.
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Question 18

Find a and b.
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Accepted Answer

The answer of Find a and b.
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Question 19

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-What is the domain of the variable in the expression

Accepted Answer

The answer of Write the word or phrase that best...

Question 20

Solve the equation.
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Accepted Answer

The answer of Solve the equation.
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Quiz 1: Equations and Inequalities

Solve the equation. -

Solve the equation. -

Find a and b. -

Solve the equation. -

Solve the equation. -

Write the word or phrase that best completes each statement or answers the question. Solve the problem. -Jim has gotten scores of 87 and 85 on his first two tests. What score must he get on his third test to keep anaverage of 80 or better?

Solve the equation. -

Solve the equation. -

Solve the equation. -

Solve the equation. -

Solve the equation. -

Find a and b. -

Write the word or phrase that best completes each statement or answers the question. Solve the problem. -What is the domain of the variable in the expression

Solve the equation. -