MATHEMATICS MIDDLE SCHOOL

POD: 4 (2a + 3) = 28

Answers

Answer 1

Answer:

Answer:

a = 2

Step-by-step explanation:

4 (2a + 3) = 28

4 * 2

= 8

4 * 3

= 12

8a + 12 = 28

28 - 12

= 16

8a = 16

16 / 8

= 2

a = 2

Answer 2

Answer:

Final answer:

To solve the equation POD: 4(2a + 3) = 28, distribute, combine like terms, and isolate the variable 'a' by following the order of operations.

Explanation:

The given equation is POD: 4 (2a + 3) = 28. To solve this equation, we need to isolate the variable 'a'.

First, distribute the 4 to both terms inside the parentheses: 8a + 12 = 28.
Next, subtract 12 from both sides of the equation to move the constant term to the right side: 8a = 28 - 12 = 16.
Finally, divide both sides of the equation by 8 to solve for 'a': a = 16/8 = 2.

Therefore, the value of 'a' that satisfies the equation is a = 2.

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If the price of a purse increased from $45 to $54, what was the percent of increased

Answers

The percent of increase is 20%

Answer and the work is provided in the image attached.

54-45/45 x 100%
= 20%

A line has a slope of 2/3 and a y-intercept of −5.Which equations represent the line?

Choose all answers that are correct.

A.-2x + 3y = -15

B.y= 2/3x - 5

C.6y = 4x - 30

D.(y + 3) = 2/3 (x - 3)

Answers

B because there is no number for y and it's already in slope intercept form so the 2/3 is the slope and -5 is the y intercept y=2/3-5 which is B

B squared minus 7b plus 6

Answers

Answer:

(b-1)(b-6)

Step-by-step explanation:

recheck : -6×-1=6

-6-1= -7

b×b=b²

What is 45% of 432? and how?

Answers

1. We assume, that the number 432 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 432 is 100%, so we can write it down as 432=100%.
4. We know, that x is 45% of the output value, so we can write it down as x=45%.
5. Now we have two simple equations:
1) 432=100%
2) x=45%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
432/x=100%/45%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 45% of 432

432/x=100/45
(432/x)*x=(100/45)*x - we multiply both sides of the equation by x
432=2.22222222222*x - we divide both sides of the equation by (2.22222222222) to get x
432/2.22222222222=x
194.4=x
x=194.4

now we have:
45% of 432=194.4

answer is 194.4 he\she just explain it

In right triangle ABC, angle B is a right angle. sin A = 2/3 and the length of BC is 6 meters. What is the length, in meters, of AC?