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Over [174]
3 years ago
12

What is the distance between the points (–3, 4 and (–7, 4? a. 0 b. 3 c. 4 d. 10?

Mathematics
1 answer:
miskamm [114]3 years ago
5 0
Try graphing it to help, but since it's not a slanted line (because the y-values are the same), you just do x1-x2:

-3 - -7 = 4
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Complete the equation that represents the total value of the nickels and p pennies
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Answer:

<em>Answers below</em>

Step-by-step explanation:

<u>Equation</u>

Let's call:

p = number of pennies Janesa has in her pocket

n = number of nickels Janesa has in her pocket

She has 24 coins in total, thus:

p + n=24\qquad\qquad [1]

Since each penny is worth $0.01 and each nickel is worth $0.05, and Janesa has $1 in total:

0.01p+0.05n=1

Multiplying by 100:

p+5n=100\qquad\qquad [2]

A. Completing the equation:

5n+p=100

B.

From [1]:

p=24-n

Substituting into [2]:

24-n+5n=100

Simplifying:

24+4n=100

Rearranging:

4n=100-24=76

n=76 / 4= 19

p=24-19=5

B. There are 5 pennies in Janesa's pocket

C. Since each penny is worth $0.01, the total value of pennies is 5*$0.01=$0.05

The total value of the pennies is $0.05

D. The total value of the nickels is 19*$0.05 = $0.95

E. Jackson should say she has 19 nickels and 5 pennies

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115 = 5x + 15

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Algebra applications: find the value of x and y​
Inga [223]

Answer : The value of x and y is 8 and 10 respectively.

Step-by-step explanation :

As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.

From the given figure we conclude that:

5x-y+150=180       ...........(1)

5x-y=180-150

5x-y=30      ............(2)

5x+y+130=180       ...........(3)

5x+y=180-130

5x+y=50        ...........(4)

Now we adding equation 2 and 4, we get the value of x.

5x-y+5x+y=30+50

10x=80

x=8

Now we are putting the value of x in 4, we get the value of y.

5x+y=50

5(8)+y=50

y=50-40

y=10

Therefore, the value of x and y is 8 and 10 respectively.

3 0
3 years ago
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