Mathematics, 28.06.2019 14:30 makayla10119

Aanya wrote the four equations that are shown below. she examined them, without solving them, to determine which has exactly one solution. which of aanya's equations has exactly one solution a: 6x-8=4(x-2)+2x b: 3(x-1)+2x=3(x-1)+2 c: 7x+2-x=6(x+2) d: 4(x+3)+x=5(x+1)+7

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Answer from: woahhh17

B:3(x-1)+2x=3(x-1)+2

Step-by-step explanation:

Aanya wrote the four equations that are shown below.

We need to check each equation and see which equations have same coefficient of x terms on both sides of equation.

A: 6x-8=4(x-2)+2x

Distribute 4 inside the parenthesis

6x-8=4x- 8+2x

We know 4x + 2x is 6x. So, both sides we have 6x. Hence no solution for this equation.

B:3(x-1)+2x=3(x-1)+2

Distribute 3 inside the parenthesis

3x - 3 + 2x = 3x - 3 + 2

5x - 3 = 3x- 3 + 2

Coefficient of x are not same on both sides. So this equation has exactly one solution.

C:7x+2-x=6(x+2)

Distribute 6 inside the parenthesis

6x + 2= 6x + 12

Both sides we have 6x. Hence no solution for this equation.

D:4(x+3)+x=5(x+1)+7

Distribute 4 and 5 inside the parenthesis

5x + 12= 5x + 5+ 12

Both sides we have 5x. Hence no solution for this equation.

Answer from: lilroach4

The actual answer is C.

Hope I helped, it’s right on Ed genuity

Step-by-step explanation:

Answer from: Quest

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

$a=9\times 12=108\text {ft^2}$

so the area of the floor is 108 square feet, converting that into square yards we get,

$108 \times 0.1111= 12 \text{yd^2}$

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

$\$15 \times 12=\$180$

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

$a = 12 \times 15=180\text {ft}^2$

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

$180 \times 0.111=20 \text {yd}^2$

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

$\$15 \times 20= \$300$

so, it will cost $300.

Answer from: Quest

answer: h=5.6 i don't really know how to put into words, so i though i would let you do that. i hope i was able to some

step-by-step explanation:

18 = 6(h)+1/2

18 = 6h+1/2

18-1 = 6h/2

17 = 3h

17/3 = h

h = 5.6

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