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m_a_m_a [10]
4 years ago
8

A textbook store sold a combined total of 217 biology and sociology textbooks in a week. The number of biology textbooks sold wa

s 59 more than the number of sociology textbooks sold. How many textbooks of each type were sold?
Mathematics
1 answer:
IrinaK [193]4 years ago
4 0

Answer:

79 sociology textbooks and 138 biology textbooks

Step-by-step explanation:

Create a system of equations, where b is the number of biology books and s is the number of sociology books:

b + s = 217

b = s + 59

Solve by substitution by substituting s + 59 for b into the first equation:

b + s = 217

s + 59 + s = 217

Add like terms and solve for s:

2s = 158

s = 79

So, there were 79 sociology books. To find the number of biology books, substitute 79 in for s into the equation b = s + 59

b = s + 59

b = 79 + 59

b = 138

So, 79 sociology textbooks and 138 biology textbooks were sold.

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Answer:

(a) \hat y=0.919+2.065x

(b) 83.6%

Step-by-step explanation:

(a)

A least square regression line is to be formed for predicting beak heat loss, as a percent of total body heat loss, from temperature.

Use MS-Excel to form the regression line.

Go to Data → Data Analysis → Regression

A dialog box will open.

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Press OK.

The regression output is attached below.

The equation of the least‑squares regression line is:

\hat y=0.919+2.065x

(b)

The coefficient of determination R² specifies the percentage of the variance in the dependent variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent variable).

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5 0
3 years ago
Donna sells beaded necklaces. Each large necklace sells for $5.20 and each small necklace sells for $4.90. How much will she ear
stiv31 [10]

Answer:

$32.6

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4 0
3 years ago
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What is the slope of a line passes through (-18,-16) and (18,5)?
algol13
I think it is 19/36.Because if you subtract -16 by 5 (-16-5) it would equal 19 which is the y-intercept.And for the x you would subtract -18 by 18 (-18-18) which will give you the answer of 36 for your x-intercept.

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4 years ago
4 5/7 subtract 1 6/7 is what in simplest form please show your work
BaLLatris [955]
Change the mixed fractions to an improper fraction.
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1 6/7 = 13/7

Now you can easily subtract since both fractions have common denominators
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Change the improper fraction to a mixed fraction
19/7 = 2 5/7

Answer: 2 5/7

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4 years ago
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Answe

Step-by-step explanation

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3 years ago
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