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iogann1982 [59]
3 years ago
12

The frequency table below shows the hotly wages of 22 factory workers. How many are paid 10.50$ per hour more?

Mathematics
1 answer:
AlexFokin [52]3 years ago
7 0
The answer would be 11.
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BabaBlast [244]
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Lemur [1.5K]

Answer:

Part a) The variables are

x (the number of packages of Twinkies that were sold)

y (the number o boxes of juice that were sold)

Part b) The system of equations is

x+y=79 and 1.65x+1.36y=118.17

Part c) x=37,y=42

Part d) The value of y represent the number of boxes of juice that were sold y=42\ boxes\ of\ juice

The value of x represent the number of packages of Twinkies that were sold x=37\ packages\ of\ Twinkies

Step-by-step explanation:

Part a) Define the variables in this situation

Let

x-----> the number of packages of Twinkies that were sold

y----> the number of boxes of juice that were sold

Part b) Write a system of equations that model the problem

we know that

x+y=79 ------> equation A  

1.65x+1.36y=118.17 ---> equation B

Part c) Use the linear combination method to find the solution to the system you wrote in part b

Multiply equation A by -1.65

-1.65(x+y)=-1.65*79  

-1.65x-1.65y=-130.35 ------> equation C

Adds equation C and equation B

-1.65x-1.65y=-130.35\\1.65x+1.36y=118.17\\---------\\-1.65y+1.36y=-130.35+118.17\\-0.29y=-12.18\\y=42

Find the value of x

x+y=79

x+42=79

x=79-42=37

Part d) Using a complete sentence, explain what the solution found in part c represents

The value of y represent the number of boxes of juice that were sold

so

y=42\ boxes\ of\ juice

The value of x represent the number of packages of Twinkies that were sold

so

x=37\ packages\ of\ Twinkies

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A vacant city lot is being turned into a neighborhood garden. the neighbors want to fence in a triangular section of the lot and
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Let x represent the length of the shortest side. Then the longest side is

... 2x -7 . . . . . . 7 ft shorter than twice the shortest side

and the 3rd side is

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The perimeter is the sum of the side lengths,

... x + (2x -7) + (x +2) = 59 . . . . . the given perimeter length

... 4x -5 = 59 . . . . collect terms

... 4x = 64 . . . . . . add 5

... x = 16 . . . . . . . . divide by 4

Then the other sides are

... 2×16 - 7 = 25 . . . . . longest side

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Lady bird [3.3K]

Answer:

26 A =1690.48 in^2

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A = l*w

where l = 74.8 and w = 22.6

A = 74.8 * 22.6

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11 2/5 ÷ 1 1/8

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1 1/8 = (8*1+1)/8 = 9/8

57/5 ÷9/8

Copy dot flip

57/5 * 8/9

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Change back to a mixed number

45 goes into 456  10 times with 6 left over

10 6/45

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2 years ago
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