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Pavlova-9 [17]
3 years ago
13

What is the value of a? -2(a - 8) + 6a = 36

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
5 0
     -2(a - 8) + 6a = 36
-2(a) + 2(8) + 6a = 36
     -2a + 16 + 6a = 36
     -2a + 6a + 16 = 36
              4a + 16 = 36
                    - 16  - 16
                       4a = 20
                        4      4
                          a = 5
Romashka-Z-Leto [24]3 years ago
5 0
Distribute -2

-2a + 16 + 6a = 36

Add like terms.

4a + 16 = 36

Factor out 4

4(a+4) = 36

Divide both sides by 4

a + 4 = 9

Subtract 4 on both sides

a = 5
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Which table represents a direct variation function?
sineoko [7]

Answer:

Option C is correct.

Step-by-step explanation:

A direct variation function is

y/x = k

i.e. we can say that the ratio of y and x is equal to a constant value k.

We will check for each Option given.

Option A

7/2 = 7/2

8/3 = 8/3

9/4 = 9/4

10/5 = 2

11/6 = 11/6

Option D is incorrect as y/x ≠ k as ratio of y/x for each value of table doesn't equal to constant

Option B

-3/2 = -3/2

-5/4 = -5/4

-6/6 = -1

-7/8 = -7/8

-8/10 = -4/5

Option B is incorrect as y/x ≠ k as ratio of y/x for each value of table doesn't equal to constant

Option C

10/-5 = -2

8/-4 = -2

6/-3 = -2

4/-2 = -2

2/-1 = -2

Option C is correct as y/x = k as ratio of y/x for each value in table c is equal to constant value -2

Option D

-3/-2 = 3/2

-3/1 = -3

-3/0 = 0

-3/1 = -3

-3/2 = -3/2

Option D is incorrect as y/x ≠ k as ratio of y/x for each value of table doesn't equal to constant .

SO, Option C is correct.

8 0
3 years ago
Read 2 more answers
Please help me The difference of two numbers is 9. If the larger number is one more than twice the smaller number, find the lage
Helen [10]

Answer:

17

Step-by-step explanation:

Let the larger number be represented by x

Let the smaller number be represented by y

from the question, the next equations can be gotten :

x - y = 9  equation 1

x = 1 + 2y equation 2

Substitute for x in equation 1

1 + 2y - y = 9

1 + y = 9

Collect like terms

y = 9 - 1

y = 8

Substitute for y in equation 1 and solve for x (the larger number)

x - 8 = 9

x = 9 + 8

x = 17

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Step-by-step explanation:

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