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SOVA2 [1]
4 years ago
14

By doubling each dimension the area of a parallelogram increased from 36 square centimeters to 144 square centimeters. find the

percent of increase in area
Mathematics
1 answer:
jeyben [28]4 years ago
5 0

The percentage of increase in area will be 300%

<em><u>Explanation</u></em>

By doubling each dimension, the area of a parallelogram increased from 36 square centimeters to 144 square centimeters.

So, the increased area =  Final area - Initial area  = (144 - 36)cm² = 108 cm²

Now, for finding the percentage of increase, first we need to <u>divide "the increased area" by the "initial area" and then multiply by 100% </u>

Thus, the percentage of increase in area = \frac{108}{36}*100 = 300%

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Write the explicit rule for the arithmetic sequence
blagie [28]
Given that:
a1=27, an=(an-1)+4
the second term will be:
a2=a1+4
a2=27+4=31
The explicit formula for arithmetic sequence is given by:
an=a+(n-1)d
where:
a= first term
d=common difference
n=nth term
from the information given:
a=27
d=31-27=4
thus the explicit formula will be:
an=27+(n-1)4
an=27+4n-4
an=23+4n

Answer: an=23+4n
6 0
3 years ago
What is the solution for the system of equations? Use the substitution method to solve.
Paraphin [41]
Y = 5 - 3x....so sub in 5 - 3x for y in the other equation

5x - 4y = -3
5x - 4(5 - 3x) = -3.....distribute the -4 thru the parenthesis
5x - 20 + 12x = -3...add 20 to both sides
5x + 12x = -3 + 20...combine like terms
17x = 17...divide both sides by 17
x = 17/17
x = 1

now sub 1 in for x into either of the original equations to find y
y = 5 - 3x
y = 5 - 3(1)
y = 5 - 3
y = 2

check...
5x - 4y = -3
5(1) - 4(2) = -3
5 - 8 = -3
-3 = -3 (correct)

so ur solution is (1,2)
3 0
3 years ago
PLEASE HELP!!! ITS DUE TODAY AND IM THE ONLY ONE WHO NEEDS TO FINISH IT
agasfer [191]

Answer:

1. C  2.H  3.G  4.E  5.B  6.D  7.A

Step-by-step explanation:

1. C  

2.H  

3.G  

4.E  

5.B  

6.D  

7.A

Leave a like if this answered your question.

6 0
3 years ago
Z=8+6x-px<br><br>solve for x
ohaa [14]
      z = 8 + 6x - px   Subtract 8 from both sides
z - 8 = 6x - px          Factor the x out of 6x - px
z - 8 = x (6 - p)         Divide both sides by (6 - p)
\frac{z - 8}{6 - p} = x   Switch the sides to make it easier to read
x = <span>\frac{z - 8}{6 - p} </span>
4 0
4 years ago
Read 2 more answers
While digging, John found a large metal bar that weighed 50 ounces. John
Alex777 [14]
60%
If you take the 30% and divide from the 50% you get .6 multiply that by a 100 you get 60.

30/50=.60
.60x100=60
60%
7 0
3 years ago
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