<h3>
Answer: 99 and 88</h3>
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Explanation:
The ratio of the two numbers is 9 to 8, which we can write as shorthand into 9:8
Multiplying both parts by x gets us the ratio 9x:8x where x is nonzero.
The numbers 9x and 8x add up to 187, so,
9x+8x = 187
17x = 187
x = 187/17
x = 11
Which then means
- 9x = 9*11 = 99
- 8x = 8*11 = 88
are the two numbers. Note how 9x+8x = 99+88 = 187 to help confirm the answers. Furthermore, note how 99:88 reduces to 9:8 after dividing both parts by the GCF 11.
Just divide 1 by 3 and you will get 0.33333333 so just put 0.3
Answer:
The new perimeter is 4.6 times the original perimeter of the parallelogram.
Step-by-step explanation:
A parallelogram is a four-sided figure, such that the opposite sides are parallel.
So a parallelogram is defined by two measures, we can define them as the length L and the width W (W can be equal to L, as in the case of the square or the rhombus)
The perimeter of one parallelogram is then:
P = 2*L + 2*W = 2*(L + W)
If a scale factor of 4.6 is applied to the parallelogram, then all the dimensions must be multiplied by 4.6
This means that the new length is L' = 4.6*L and the new width is W' = 4.6*W
Then the new perimeter is:
P' = 2*W' + 2*L' = 2*(L' + W') = 2*(4.6*L + 4.6*W) = 4.6*[2*(L + W)]
And the thing inside brackets is equal to the original perimeter, then:
P' = 4.6*P
The new perimeter is 4.6 times the original perimeter of the parallelogram.
<h3>
Answer:</h3>
5/2
<h3>
Step-by-step explanation:</h3>
Start by eliminating parentheses.
... 2n +4 +6 = -9 +8n +4
... 10 = -5 +6n . . . . subtract 2n
... 15 = 6n . . . . . . . add 5
... 15/6 = n = 5/2
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<u>Check</u>
(2·5/2 +4) +6 = -9 +4(2·5/2 +1)
5 +4 +6 = -9 +4(5 +1)
15 = -9 +24 . . . . . true, so the answer checks OK
