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rusak2
8 days ago
9

"The difference between five-halves of a number and 17 is 48."

Mathematics
1 answer:
Inessa [9K]8 days ago
5 0
Let the number be x. The equation x/5 - 17 = 48 leads to (x - 85)/5 = 48. Multiplying gives x - 85 = 240, so x = 240 + 85, resulting in x = 325.
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Chelsea has 11 times as many art brushes as Monique. If they have 60 art brushes altogether, how many brushes does Chelsea have?
zzz [9093]
Let Monique have m brushes.
Chelsea then has <span>11m brushes because she has 11 times as many as Monique. Together they total 60 brushes, so we form the equation:

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Thus 12m=60, and dividing both sides by 12 gives m=5.

Chelsea has 11m=11*5=55 brushes.

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11 days ago
Victoria set a goal for the number of boxes of Girl Scout Cookies she wants to sell. So far, she has sold 33 boxes. If this is n
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Her target is set at 60 boxes. I laid out my reasoning by formulating an equation to find x and I hope this assists you.:)
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9 days ago
Carmen is planning rail lines for a new train station. Help her find m1. Explain how you found  that solution.
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I have included a screenshot of the entire question along with its accompanying diagram.

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3 0
27 days ago
Read 2 more answers
Concur Technologies Inc is a large expense-management company located in Redmond Washington. The wall street Journal asked Concu
Zina [9179]

Answer:

Let's explore this step-by-step:

Greetings!

Here are the variables

X: daily cost of hotel rooms

Y: expenses for entertainment

Refer to the second attachment for the scatter plot.

The population regression equation can be expressed as E(Yi)= α + βXi

To find the y-intercept and the slope of the regression line, apply the following formulas:

a= Y[bar]-bX[bar]b= \frac{sum XY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} }

In this scenario, n= 9; ∑X= 945; ∑X²= 103325; ∑Y= 1134; ∑Y²= 148804; ∑XY= 123307

Calculating X[bar]= ∑X/n= 945/9= 105

Calculating Y[bar]= ∑Y/n= 1134/9= 126

Thus, it follows that a= 126 - 1.03*105= 17.49b= \frac{123307-\frac{945*1134}{9} }{103325-\frac{(945)^2}{9} }= 1.03

The regression equation is then given by ^Y= 17.49 + 1.03Xi

Slope interpretation: For each unit increase in the daily hotel rate, the expected average spending on entertainment rises by $1.03.

Given that the room rate in Chicago is $128 (X), we can predict the entertainment expenditure (Y) using the estimated regression line:

^Y= 17.49 + 1.03Xi= 17.49 + 1.03*128= 149.33

The anticipated spending on entertainment for Chicago is $149.33

I trust this will assist you!

6 0
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