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miskamm [114]
3 years ago
11

Fill in the missing reasons (one for each step). Given: 3x – 6y = 27; x = 5 Prove: -2 = y

Mathematics
1 answer:
JulsSmile [24]3 years ago
5 0

Answer:

a. Given,

b. Substitution

c. Subtraction of equality

d. Division of equality

e. Symmetric property of equality

Step-by-step explanation:

Given expression,

3x - 6y = 27; x = 5

By substituting x = 5,

3(5) - 6y = 27

15 - 6y = 27

By subtraction property of equality,

-6y = 12

Division property of equality,

y = -2

By symmetric property of equality,

-2 = y

You might be interested in
A punter kicks a football into the air with an initial velocity of 84 feet per second. The equation
dolphi86 [110]

Answer:

<h2>84feet</h2>

Step-by-step explanation:

Given the height of the ball modelled by the equation h(t)=16t²+84 after t secs. At the maximum height, the velocity of the ball is zero.

Velocity V is the change of rate of displacement.

V = dh/dt = 32t

0 = 32t

t = 0secs

at t = 0;

h(0) = 16(0)²+84

h(0) = 84feet

This shows that the maximum height of the ball is 84feet

6 0
3 years ago
Solve for x: -3x - 12 = 15
Elodia [21]

Answer:

x = -9

Step-by-step explanation:

  1. Add 12 to each side, so it now looks like this: -3x = 27
  2. Divide each side by -3x, so it now looks like this: x = -9

I hope this helps!

6 0
3 years ago
Read 2 more answers
Which expression is equivalent to -6(3x-2/3)<br><br> -2x+9<br> -3x-6(2/3)<br> -18x+12<br> -18x+4
finlep [7]

Answer:

option d is correct answer

Step-by-step explanation:

-18x+12

6 0
3 years ago
Please answer please
Anvisha [2.4K]

Answer:

8 = m, No solution

Step-by-step explanation:

1. -88 = -3(4m + 5) - (1 - 3m)

-88 = -12m - 15 - 1 + 3m : distributed into parentheses

-88 = -9m - 16 : combined like terms

+16           + 16 : adding to cancel out

-72 = -9m

/-9       /-9 : dividing by -9 to cancel

8 = m

2. -4(5k - 7) + 2k = -2(9k + 5)

-20k + 28 + 2k = -18k - 10 : distributed into parentheses

-18k + 28 = -18k - 10 : combined like terms

       + 10            + 10 : adding to cancel out

-18k + 38 = -18k

+18k            +18k : adding to cancel out

38 = 0k (No solution)

         

5 0
2 years ago
Simplify 3(2x+5)-4(2x-7)
Sati [7]
For this you need to expand the brackets first:
3(2x+5)-4(2x-7) = 6x+15-8x-28
And then now you need to add and simplify:
6x+15-8x-28 —> 6x-8x= -2x
15-28= -13
So that leaves
-2x - 13
4 0
3 years ago
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