A number times eight is equal to forty-five

Answers

Answer 1

Answer: n*8=45
Thats the answer in word form

Answer 2

Answer: x*8=45
Do inverse operation
45/8 = x

x= 5.625 = 5 5/8
Then check

5.625 * 8 = 45

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1. What is the solution to the system of equations?y = 5x - 7

-3x - 2y = -12

A. (2, 3)
B. (1, -2)
C. (-2, 9)
D. (3, 8)

What is the solution to the systems of equations represented by the 2 equations?
y = 4x + 3

y = -x - 2

A. (1, 7)
B. (-1, -1)
C. (2, -4)
D. (-3, -9)

A family went to an amusement park and paid $12 for each adult and $8 for each child. A group of 15 people went to the park and it cost $140. This system of equations models this situation, where x is the number of adults and y is the number of children.
How many children were in the group?

x + y = 15
12x + 8y = 140

Answers

Answer: 1) A. (2, 3)

2) B. (-1, -1)

3) 10 children

Step-by-step explanation:

1) $\left \{ {{y=5x-7} \atop {-3x-2y=-12}} \right.$

Since the y is already isolated in the first equation, to solve the system you simply substitute that expression into the second equation and then solve, finding the value of x:

$-3x-2(5x-7)=-12\n-3x-10x+14=-12\n-13x=-12-14\n-13x=-26\nx=(26)/(13)=2$

And then you substitute that value into the first equation and solve to find the value of y:

$y=5(2)-7\ny=10-7\ny=3$

So, the solution of the system is (2, 3).

2) $\left \{ {{y=4x+3} \atop {y=-x-2}} \right.$

Since the y is already isolated in both equations, to solve the system you simply equalize the first and the second expression and then solve, finding the value of x:

$4x+3=-x-2\n4x+x=-2-3\n5x=-5\nx=-1$

And then you substitute that value into the first or the second equation (whichever you like) and solve to find the value of y:

$y=-(-1)-2\ny=1-2\ny=-1$

So, the solution of the system is (-1, -1).

3) $\left \{ {{x+y=15} \atop {12x+8y=140}} \right.$

To solve the system, the easiest way is to isolate the y in the first equation and then substitute the expression obtained into the second equation, finding the value of x.

From the first equation: $y=15-x$

Substituting:

$12x+8(15-x)=140\n12x+120-8x=140\n4x=140-120\n4x=20\nx=5$

And then you substitute that value into the first equation and find the value of y:

$y=15-5\ny=10$

So, there were 10 children in the group.

y=5x-7 -3x-2y=-12 (2,3)

y=4x+3 y=-x-2 (-1,-1)

12x+8y=140 5 adults 10 children
12(5)+8(10)=140
60+80=140

A trapezoid has an area of 24 square meters. The lengths of the bases of the trapezoid are 5 meters and 7 meters. What is the height of the trapezoid?4 meters
144 meters
2 meters
1 meter

Answers

Write it as an algebraic expression

24m^2 = (5m + 7m)/2 x h
24m^2 = 12m/2 x h
24m^2 = 6m x h

Divide both sides of the equation by 6m

24m^2 / 6m = 6m/6m x h
4m = h

The height is 4m

-5⁄2 a + 5 = 25 find a

Answers

Answer:

sub 5 25 - 5 = 20

-5/2a=20

mult 2 by each side to get rid of fraction

-5a=40

divide -5 from 40

a=-8

Answer:

The answer is 8

Step-by-step explanation:

-5/2 x 8= 20 and if you add 5 it is 25.

Is there several ways to list the partial products of 35x7

Answers

Not really

30x7=210
5x7=35

yes there is one way i am learning at school in my class room commutive property 35×7=210, 30+70=100, 3×7=21, 21÷3=7

on a toy assembly line, 3% of the toys are found to be defective. The quality control officer predicts that 872 toys will be found defective out of the 24,850 toys made. Do you agree with this prediction? Explain.

Answers

No, I don't agree with this prediction.
If you were to times 24,850 by 3% you would get 745, which would be the number of defective toys.
872 defective toys is 3.5% of 24,850 toys.

HELP ME PLEASE I BEG YOU I REALLY NEED WITH THESE QUESTIONS!!!!!!!!

Answers

I posted an image instead.

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