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3 years ago

14

If one side of a rectangle is increased by 12 and an adjacent side is decreased by 3 a rectangle is formed whose perimeter is 64

. What is the length of the side of the original square

1 answer:

Dima020 [189]3 years ago

8 0

The length of the side of the original square is 7cm

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Point p is the midpoint of de dp 6x+4 and de = 14x -10

vfiekz [6]

Answer:

x = 9

Step-by-step explanation:

A midpoint is found by adding up two numbers and then dividing by 2 (Also known as an average). Therefore, a midpoint marks half of a line. That means that DP is 1/2 of DE. We can now form an equation. 6x + 4 = 1/2 * (14x - 10), making 6x + 4 = 7x - 5 by using the distributive property. Next, isolate x by subtracting by 6x on both sides and adding by 5 on both sides. You would get x = 5 + 4, which means that x = 9.

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3 years ago

Samantha is looking to determine the amount of interest that she will pay on her 4.7% , $40,000 loan over its 15 -year term. The

AysviL [449]

Answer:

The total amount of interest Samantha will pay=$40,842.47

Step-by-step explanation:

Step 1: Determine expression of total interest amount to be payed

The expression for the total interest amount to be payed inclusive of interest is given by;

A=P(1+r/n)^(nt)-P

where;

A=total amount of interest to be payed

P=principal loan amount

r=annual interest rate

n=number of compounding periods in a year

t=number of years

In our case;

P=$40,000

r=4.7%=4.7/100=0.047

n=12

t=15 years

replacing;

A=40,000(1+0.047/12)^(12×15)-40,000

A=40,000(1.00392)^180-40,000

A=40,842.46821

The amount rounded of to the nearest cents=1/100=0.01, round off to the nearest 2 decimal places=40,842.47

The total amount of interest Samantha will pay=$40,842.47

3 0

3 years ago

Sanji paid 25 for two scarves which were different prices when she got home she could not find the receipt she remember that one

laila [671]

Answer:

The answer is x = 14 the more expensive scarf

Step-by-step explanation:

x + y = 25

3 + y + y = 25 (x = 3 + y)

3 + 2y = 25

2y = 25 - 3

2y = 22

y = 22/2

y = 11

x = 3 + y

x = 3 + 11

x = 14 (the more expensive scarf)

(x,y) ; (14,11)

5 0

3 years ago

What number is equal to the absolute value of -36 ?

Rus_ich [418]

Answer:

36

Step-by-step explanation:

positive version

8 0

3 years ago

Read 2 more answers

Rewrite the expression using the GCF and distributive property. (110-44)

Afina-wow [57]

let me divide your question into two parts A and B as;

A.Rewrite the expression using the GCF and distributive property. (110-44)

B.how many 24-foot jump ropes can be made from a rope that is 100 feet long?

Answer:

A.(110-44)=22(5-2)

B. 4 jump ropes of 24 feet length

Step-by-step explanation:

A.Rewrite the expression using the GCF and distributive property. (110-44

Answer:

Find the GCF of 110 and 44 then take that GCF as common factor out of (110-44) then we can get new expression for (110-44) as 22(5-2) i.e.

prime factorization of 110=2x5x11

and 44=2x2x11

GCf is the product of factors that appear in both of the prime factorization which is 2x11=22

thus using GCF (22) as common factor we can rewrite the given expression as

22(5-2) which is distributive law of multiplication over subtraction.

B.how many 24-foot jump ropes can be made from a rope that is 100 feet long?

Answer:

Given

Total length of the rope =100 feet

length of a jump rope =24

solution:

For one jump-rope we need 24 feet

For two jump-ropes we need 48 feet

For three jump-ropes we need 72 feet

For four jump-ropes we need 96 feet

thus from a 100 feet long rope we can make 4 jump-ropes of 24 feet length with 6 feet remaining as extra.

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3 years ago