Which value of x makes the following equation true?4(x - 1) = -4x + 60

A. 8
B. 12
C. 11
D. 9

Answers

Answer 1

Answer: The easiest way is to just solve the equation.
4x - 4 = -4x + 60
4x + 4x = 4 + 60
8x = 64
x = 8

A slower way to do this is to plug each of the numbers into the equation to see which makes the equation is true.
So for A.
4(8 - 1) = -4(8) + 60
4(7) = -32 + 60
28 = 28
Fortunately, this is true, so A is the answer and you don't have to try the other options.

Answer 2

Answer: It would be A because if you plug in 8 for x on each side you get 28 which makes the equation true

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Add the polynomials (7x3−2x2−12)+(−3x3−8x2+10x)

Find the area of a rectangle measuring 25 feet long by 8 feet wide.

Answers

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

The area of the rectangle is 200 square feet.

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Length of the rectangle = 25 feet

Width = 8 feet

The area of the rectangle.

= length x width

= 25 x 8

= 200 square feet

Thus,

The area of the rectangle is 200 square feet.

Learn more about rectangles here:

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Hi there! Area=L*W. Where 25 feet is the length and 8 feet is the width. 25 feet*8 feet=200 feet. Therefore, your answer is 200 feet.

Half of a number is equal to 8 more than the number.

Answers

Set the number as x. So,
.5x=x+8
Put all of the x's on one side of the equation.
.5x=-8
Divide by .5 on each side,
x=-16
Hope this helps.

Clayton climbed down 50 meters. he climbed down in 10-meter intervals. in how many intervals did clayton make his climb?

Answers

Answer:

Clayton make his climb in 5 intervals.

Step-by-step explanation

Given: Clayton climbed down 50 meters.

1 interval = 10 meters down

The number of intervals = 50 divided by 10

= $(50)/(10)$

= 5 intervals

Therefore, Clayton make his climb in 5 intervals.

To figure this out, divide 50 metres by 10 metre intervals

50 metres ÷ 10 metre intervals = 5 intervals

A standard number cube was rolled multiple times, and the results were recorded in the table above. What can be said about the experimental probability of rolling a four versus the theoretical probability of rolling a four?

Answers

They should ideally be the same. However, the difference is that the theoretical probability is what is expected to happen while the experimental probability is what happens in the actual scenario. The computation for both would be the same, and they should ideally be the same, unless other factors in an experiment would confound it.

Write log6 5 as a logarithm of base 4.1) (log4)5/(log4)6
2) (log4)6/(log4)5
3) (log5)4/(log6)4
4) (log6)4/(log5)4 ...?

Answers

The answer is 1) (log4)5/(log4)6

We will use the change-of-base formula: $log_a(x)= (log_b(x))/(log_b(a))$

So, if we want to write log6 5 as a logarithm of base 4. in these example a = 6, x = 5, b = 4:
$log_6(5)= (log_4(5))/(log_4(6))$