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Katarina [22]
3 years ago
5

Shelf A had 40 books and Shelf B had 16 books. After Abigail borrowed an equal number of books from Shelf A and Shelf B, there w

ere 3 times as many books on Shelf A than on Shelf B. How many books did Abigail borrow altogether?
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0

Answer:

120

Step-by-step explanation:

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Sara drives 171 miles on 7.6 gallons of gas. She uses this information to calculate how many miles per gallon she can drive. Usi
vfiekz [6]

171 / 7.6 = 22.5 miles per gallon

22.5 x 12.5 = 281.25 miles she can drive

7 0
3 years ago
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Simplify the following expression:<br><br> (4x+8) - 3(x+1)
Umnica [9.8K]

Answer:

x + 5

Step-by-step explanation:

  • 4x + 8 + (-3)(x) + (-3)(1)
  • 4x + 8 -3x -3
  • (4x-3x) + (8-3)
  • x + 5

Therefore, the answer is x + 5.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

8 0
3 years ago
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Jess needs 2 yards of molding to put around the bottom of a sandbox. One piece she has is ⅞ inch and the second piece she has is
Mazyrski [523]

Answer:

yes jess does have enough for her sandbox

Step-by-step explanation:

I did this test to and jess does indeed have enough for the sandbox

7 0
2 years ago
What other points are on the line of direct variation through (5, 12)? Check all that apply. (0, 0) (2.5, 6) (3, 10) (7.5, 18) (
aalyn [17]

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

in this problem we have

the point (5,12) is on the line of direct variation

so

Find the constant of proportionality k

y/x=k-------> substitute ------> k=12/5

the equation is

y=\frac{12}{5}x

Remember that

If a point is on the line of direct variation

then

the point must satisfy the equation of direct variation

we're proceeding to verify each point

<u>case A)</u> point (0,0)

x=0\ y=0

Substitute the value of x and y in the direct variation equation

0=\frac{12}{5}*0

0=0 -------> is true

therefore

the point (0,0) is on the line of direct variation

<u>case B)</u> point (2.5,6)

x=2.5\ y=6

Substitute the value of x and y in the direct variation equation

6=\frac{12}{5}*2.5

6=6 -------> is true

therefore

the point (2.5,6) is on the line of direct variation

<u>case C)</u> point (3,10)

x=3\ y=10

Substitute the value of x and y in the direct variation equation

10=\frac{12}{5}*3

10=7.2 -------> is not  true

therefore

the point (3,10) is not on the line of direct variation

<u>case D)</u> point (7.5,18)

x=7.5\ y=18

Substitute the value of x and y in the direct variation equation

18=\frac{12}{5}*7.5

18=18 -------> is true

therefore

the point (7.5,18) is on the line of direct variation

<u>case E)</u> point (12.5,24)

x=12.5\ y=24

Substitute the value of x and y in the direct variation equation

24=\frac{12}{5}*12.5

18=30 -------> is not true

therefore

the point  (12.5,24) is not on the line of direct variation

<u>case F)</u> point (15,36)

x=15\ y=36

Substitute the value of x and y in the direct variation equation

36=\frac{12}{5}*15

36=36 -------> is true

therefore

the point (15,36) is on the line of direct variation

therefore

<u>the answer is</u>

(0,0)

(2.5,6)

(7.5,18)

(15,36)


5 0
3 years ago
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A grocery store sells a bag of 8 oranges for $5.92. What is the unit cost?
Elanso [62]

Answer:

47.36

Step-by-step explanation:

i did the work

3 0
3 years ago
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