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ivolga24 [154]
3 years ago
6

Solve for x: 10 - 2x = -5x - 5 (1) X = -5 (3) X= 4 (2) x 15 (4)x= -15

Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
7 0
10 - 2x = -5x -5
+2x +2x
10 = -3x -5
+5 +5
15= -3x
X= -5
topjm [15]3 years ago
3 0
First you add 5x on both sides:

10−2x+5x=−5

=
10+3x=−5

Then you subtract 10 from both sides:

3x=−5−10
=
3x=-15

Then you divide both sides by 3

X= -15/3

X= -5
​​
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Fantom [35]

Answer:

5 and 50

Step-by-step explanation:

Constant of proportionality=(10-5)/(2-1)=5

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2 years ago
Find the value of x.
nadezda [96]

Answer:

25

Step-by-step explanation:

The median of a trapezoid equals one half of the sum of the bases

AC is a median and EB and DF are the bases.

hence AC = 1/2(EB + DF)

We are given that EB = 13 and that AC = 19. And we need to find DF

To do so we plug in what we are given and solve for DF

AC = 1/2(EB + DF)

AC = 19, EB = 13

19 = 1/2(13 + DF)

Now solve for DF

* Multiply both sides by 2*

19 * 2 = 38

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38 - 13 = 13 - 13 + DF

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6 0
2 years ago
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5 0
2 years ago
Mrs. Grubb bought some shirts for $4 each and some hats for $12 each. She bought 9 pieces of clothing for $100. Write a system o
Lana71 [14]

Answer:

Mrs. grub bought total number of shirts = 1

Mrs. grub bought total number of hats = 8

Step-by-step explanation:

Let Mrs. grub bought total number of shirts = x

Let Mrs. grub bought total number of hats = y

As given,

Price of 1 shirt = $4

Price of 1 hat = $12

⇒ Price of x shirts = $ 4x

   Price of y hats = $ 12y

Given that,

Mrs. Grubb bought total piece of clothes = 9

⇒ x + y = 9     .......(1)

Also given,

She bought all clothing for $100

⇒ 4x + 12 y = 100       ........(2)

Divide equation (2) by 4 we get

x + 3y = 25     .......(3)

Now,

Subtract equation (1) from equation (3) , we get

x + 3y  - ( x + y ) = 25 - 9

⇒ x + 3y - x - y = 16

⇒2y = 16

⇒y = \frac{16}{2} = 8

⇒ y = 8

Put value of y in equation (3), we get

x + 3(8) = 25

⇒x + 24 = 25

⇒x = 25 - 24 = 1

⇒x = 1

∴ we get

Mrs. grub bought total number of shirts = x = 1

Mrs. grub bought total number of hats = y = 8

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