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gizmo_the_mogwai [7]
3 years ago
15

Solve........3 (5p - 3) = 5 (p - 1)

Mathematics
1 answer:
romanna [79]3 years ago
7 0

Step 1: multiply the numbers in front of the parentheses with each term inside the parentheses

15p - 9 = 5p - 5

Step 2: get like terms on the same side

10p = 4

Step 3: divide both sides by 10

p = 4/10

Step 4: simplify

p = 2/5

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1) Andy’s father is 25 years older than him and his sister’s age is twice the age of Andy. If the total of their ages is 53 year
rodikova [14]

Answer:

Andy is 7 and Andy's father is 32

Step-by-step explanation:

I used the guess and check method, starting from Andy being 5.

If Andy was 5, his dad would be 30, and his sister would be 10. 5+30+10=45

Too low

If Andy was 6, his dad would be 31, and his sister would be 12. 6+31+12= 49

Too low again

If Andy was 7, his dad would be 32, and his sister would be 14. 7+32+14=53

Andy is 7 and his Father is 32

Another method you could use is to make an equation and solve.

A = Andy

S= Sister

F= Father

S=2A (Andy's sister is twice the age of Andy)

F=A+25 (Andy's father is 25 years older then Andy)

A+S+F=53 (The total of their ages is 53 years)

Substitute your variables

A+(2A)+(A+25)=53

Subtract 25 from both sides

A+(2A)+(A+25)=53

                 -25 -25

A+(2A)+(A)=28

Add up your variables

A+(2A)+(A)=28

4A=28

Divide to find A

4A=28

A=7

Now solve for the Fathers age

F=A+25

F=32

Andy is 7 and his Father is 32

8 0
3 years ago
Carl is making a rectangular dog run. he has 36 one-yard sections of fence that he plans to use to keep his dig inside. he wants
lapo4ka [179]
From the given condition, it must be seen to it that the width must also be the lowest whole-number possible. Thus, the width should be equal to 1 yard. The given 36 is the perimeter of the run.
                                 P = 2L + 2W
                                36 = 2L + 2(1)
                                      L = 17
Thus, the longest whole-number length is equal to 17 yards. 
8 0
3 years ago
Read 2 more answers
What is the average rate of change for the sequence shown below? (-.5, 2.5), (0,3. (.5, 3.5). (1,4)
zhannawk [14.2K]

Answer:

The average rate of change for this sequence is 1

Step-by-step explanation:

The average rate of change is calculated as the slope of the line joining the end points of the sequence.

In this case the end points are;

(-.5, 2.5) and (1,4)

We simply calculate the slope using the gradient formula;

Change in y / change in x

(4 - 2.5)/(1 - -0.5) = 1

7 0
3 years ago
Read 2 more answers
5
ololo11 [35]

Answer:

Step-by-step explanation:

5x:8=7:2

5x/8=7/2

<u>By Cross Multiplication:</u>

10x=56

x=56/10

x=28/5

<u>If you need to ask any question,please let me know.</u>

3 0
3 years ago
PLEASE HELP FAST!!!!!!!!!!
Helen [10]

Answer:

43.96

Step-by-step explanation:

You take the radius of 7 and multiply by 2 then multiply by 3.14

8 0
3 years ago
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