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podryga [215]
3 years ago
14

Mary has five-eighths of the total of pencils her and her sister own. Together, they have 96 pencils. How many pencils does Mary

have?
Mathematics
1 answer:
olga55 [171]3 years ago
5 0
60 pencils. It’s a ratio. 60/96 can be simplified down to 5/8
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What value of x makes this equation true? 15-7x=5x-21​
belka [17]

Answer:

x=3

Step-by-step explanation:

15-7x=5x-21

12x=36

x=3

4 0
3 years ago
Translate algebraic expressions <br> Subtract 6 from 4 times d
valentinak56 [21]
I think the Answer is 4d-6


8 0
3 years ago
When David was asked how old he was, he said " I'm three times younger than my dad, but twice as old as Rebecca. " Then little R
daser333 [38]

Using a system of equations, it is found that David is 12 years old.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables are given as follows:

  • Variable x: David's age.
  • Variable y: Dad's age.
  • Variable z: Rebecca's age.

David is three times younger than the dad and twice as old as Rebecca, then:

  • x = y/3 -> y = 3x.
  • x = 2z.

Rebecca is 30 years younger than the dad, hence:

z = y - 30.

Then, since x = 2z and z = y - 30 and y = 3x, we solve for x to find David's age.

x = 2(y - 30)

x = 2(3x - 30)

x = 6x - 60

5x = 60

x = 60/5

x = 12.

David is 12 years old.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

8 0
2 years ago
CLICK ON THE PICTURE FOR THE QUESTION,, please help
Paul [167]

Answer:

Step-by-step explanation:

A(-10,-3), B(7,14)

slope of AB = (-3-14)/(-10-7) = 1

slope of perpendicular to AB = -1

equation of perpendicular through C(5,12):

y-12 = -(x-5)

y-12 = -x+5

x = -y+17

x-intercept is the value of x when y=0.

x-intercept = 17

(0,17) is a point on CD.

5 0
3 years ago
Find the value of the remaining variable in the formula. Use 3.14 as an approximation for a (pi).
wel

Answer:

P = 12

Step-by-step explanation:

Given formula for the perimeter 'P' of a rectangle is,

P = 2L + 2W

If the values of L and W are,

L = 4 and W = 2

Perimeter of the rectangle = 2(L + W)

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                                            = 2 × 6

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Therefore, value of remaining variable 'Perimeter' = 12 units

(There is no use of 'pi' in calculating the perimeter of a rectangle).

5 0
4 years ago
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