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allochka39001 [22]
4 years ago
13

Choose the correct order of steps to solve the equation x/2+5=9 ? I. Multiply both sides by 2 II. Add 5 to both sides III. Divid

e both sides by 2 IV. Subtract 5 from both sides
Mathematics
2 answers:
Dafna1 [17]4 years ago
7 0

subtract 5 from both sides


liraira [26]4 years ago
5 0

The steps you take to solve an equation of this sort are informed by the Order of Operations. Look at what operations are performed on the variable when you evaluate this equation. They are

• x is divided by 2

• 5 is added to the quotient


To solve for x, you "undo" these operations in reverse order. To "undo" addition, you perform subtraction. Here, you (IV.) subtract 5 from both sides as the first step of your solution.


Then you undo the division by 2. To "undo" division, you perform multiplication. Here, you (I.) multiply both sides by 2 as the second step of your solution.



In summary, the order of steps you would take to solve this equation is

... IV

... I


_____

x/2 + 5 = 9

x/2 = 4 . . . . . . . . subtract 5

x = 8 . . . . . . . . . . multiply by 2


Note that in our description of the operation we performed, we simply say "subtract 5" because the properties of equality require that you do that to both sides of the equation.

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Answer:

Step-by-step explanation:

Hello!

Given the variables

X: daily hotel room rate

Y: amount spent on the entertainment

See second attachment for scatter plot.

The population regression equation is E(Yi)= α + βXi

To estimate the y-intercept and the slope of the regression equation you have to apply the following formulas:

b= \frac{sum XY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} }

a= Y[bar]-bX[bar]

n= 9; ∑X= 945; ∑X²= 103325; ∑Y= 1134 ∑Y²= 148804; ∑XY= 123307

X[bar]= ∑X/n= 945/9= 105

Y[bar]= ∑Y/n= 1134/9= 126

b= \frac{123307-\frac{945*1134}{9} }{103325-\frac{(945)^2}{9} }= 1.03

a= 126 - 1.03*105= 17.49

^Y= 17.49 + 1.03Xi

Slope interpretation: The estimated average amount spent on entertainment increases 1.03 every time the daily hotel room rate increases one unit.

If the room rate for Chicago is $128 (X), to predict the mount spent in entertainment (Y) you have replace it in the estimated regression line:

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

The expected amount spent on entertainment for Chicago is $149.33

I hope this helps!

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3 years ago
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Answer:

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Step-by-step explanation:

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Rzqust [24]

Answer:

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Step-by-step explanation:

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