Math 1 March 5 2021

Math 1

March 5, 2021

Example 1

Leto's department can deliver enough parts to fill a storeroom in 8 hours. Jessica's department uses the part to build another product. Her department can deplete a full store room in 12 hours. Starting with an empty storeroom, how long will it take Leto's area to fill the storeroom while Jessica's department is working?

Example 2

Working together, Perry and Molly can mop a warehouse in 4.8 hours. Had she done it alone it would have taken Molly 12 hours. How long would it take Perry to do it alone?

Example 3

One roofer can put a new roof on a house three times faster than another. Working together they can roof a house in 5 days. How long would it take the faster roofer working alone?

Example 4

Candice and Alex can complete a job in 3 hours working together. If Candice works three times as long as Alex if each does the job alone, how long would it take Alex to complete the job alone?

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Mr. and Mrs. Carrino can complete a job in 5 hours. If Mr. Carrino works twice as long as Mrs. Carrino if each does the job alone, how long does it take Mrs. Corrino to complete the job alone?

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Working together, Mei and Ndiba can pick forty bushels of apples in 6.16 hours. Had he done it alone it would have taken Ndiba 14 hours. How long would it take Mei to do it alone?

Example 5

 $\left(x+2\right)\left(x-5\right)$  

Example 6

 $\left(3x-1\right)\left(2x-7\right)$  

Example 7

 $\left(-5x+3\right)\left(-x-4\right)$  

Example 8

Write the expression of the area of a rectangle with a length of   $\left(x+2\right)$  and a width of  $\left(x+10\right)$  .

Example 9

The length of a square board is   $\left(2x-3\right)$ . Write the expression for the area of the board. 

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Quiz 17 Review Question: Go look up what you answered, keep it the same if it was correct.

A plumber can install the pipes in a bathroom in 4 hours. A different plumber needs 5 hours to do the same job. If both plumbers work together, how many hours will it take to install the pipes? Round to the nearest hundredth.

Multiple Choice

Quiz 17 Review Question: Go look up what you answered, keep it the same if it was correct.

The 6th, 7th, and 8th terms of an arithmetic sequence are shown below.

 $-46,-54,-62$ 

Which explicit formula can be used to determine the nth term of this sequence?

•  $a_n=-8n-38$  

•  $a_n=-8n+2$  

•  $a_n=-8n-16$  

•  $a_n=-8n+1$  

Multiple Choice

The amount spent to manufacture a toy, x, and the amount of profit, y, earned on sales of the toy for the past five years are shown in the table. Which statement best explains the correlation coefficient of the data set?

• The correlation coefficient is approximately -0.84, which indicates a weak negative relationship between the amount spent and profit earned.

• The correlation coefficient is approximately 0.7, which indicates a strong positive relationship between the amount spent and profit earned.

• The correlation coefficient is approximately -0.84, which indicates a strong negative relationship between the amount spent and profit earned.

• The correlation coefficient is approximately 0.7, which indicates a weak positive relationship between the amount spent and profit earned.

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Simplify. Your answer should only contain positive exponents. Use ^ for exponents. Write answers in alphabetical order. 

 $\frac{2y^3\times\left(x^{-1}y^4\right)^4}{2y^4}$  

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How many kg of mixed nuts that contain 40% peanuts must Alberto add to 14 kg of mixed nuts that contain 65% peanuts to make a mixture with 54% peanuts?

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Solve for x.
NS = no solution
I = infinite solution

 $2\left(1+5x\right)=3x+7\left(x+4\right)$  

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Carlos' special coffee blend which costs $15/kg is made by combining brand X coffee which costs $13/kg with brand Y coffee which costs $21/kg. Find the number of kg of brand X coffee and brand Y coffee required to make 16 kg of Carlos' special coffee blend.

(brand X, brand Y)

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The legs of a right triangle measure 16 cm and 23 cm. What is the approximate perimeter of the triangle? Round to the nearest whole number.

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Scott can pick forty bushels of apples in 15 hours. Ryan can pick the same amount in 13 hours. How long would it take them if they worked together? Round to the nearest hundredth.

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Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

 $\left(-7,8\right),\left(2,5\right)$  

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Write the slope-intercept form of the equation of the line through the given points. Write as a fraction.



 $\left(-5,3\right),\left(5,2\right)$  

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What is the x value of the x intercept of the linear equation below?

 $y=-\frac{1}{10}x+\frac{5}{2}$