Answer:
Option A: -12x-8=10 is the correct answer.
Step-by-step explanation:
Given equation is:
-4 (3x+2) = 10
We will distribute the equation by multiplying the terms inside the brackets with -4.
Therefore,
-4*3x + 2*-4 = 10
-12x +(-8) = 10
-12x - 8 = 10
The equation -4 (3x+2) = 10 will become -12x-8=10 after distributing.
Hence,
Option A: -12x-8=10 is the correct answer.
ANSWER:
x = 10 / 3
y = 0
STEP-BY-STEP EXPLANATION:
We will be using simultaneous equations to solve this problem. Let's first establish the two equations which we will be using.
Equation No. 1 -
- 6x - 14y = - 20
Equation No. 2 -
- 3x - 7y = - 10
First, we will make ( x ) the subject in the first equation and simplify accordingly.
Equation No. 1 -
- 6x - 14y = - 20
- 6x = - 20 + 14y
x = ( - 20 + 14y ) / - 6
x = ( - 10 + 7y ) / - 3
From this, we will make ( y ) the subject in the second equation and substitute the value of ( x ) from the first equation into the second equation to solve for ( y ) accordingly.
Equation No. 2 -
- 3x - 7y = - 10
- 7y = - 10 + 3x
- 7y = - 10 + 3 [ ( - 10 + 7y ) / - 3 ]
- 7y = - 10 + [ ( - 30 + 21y ) / - 3 ]
- 7y = - 10 + ( 10 - 7y )
- 7y = - 7y
- 7y + 7y = 0
0y = 0
y = 0
Using this, we will substitute the value of ( y ) from the second equation into the first equation to solve for ( x ) accordingly.
x = ( - 10 + 7y ) / - 3
x = [ - 10 + 7 ( 0 ) ] / - 3
x = [ - 10 + 0 ] / - 3
x = - 10 / - 3
x = 10 / 3
10x16 = 160 cm
160x 3.14 = 502.4 cm
502.4 ≈ 500 cm
Answer:
Step-by-step explanation:
(6 gal)/(4/7 fence) = (21/2 gal)/fence = (10.5 gal)/fence
Answer:
70
Step-by-step explanation: