Answer:
2, 3, 5, 7 and 11 are the first few prime numbers.
Step-by-step explanation:
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.
Answer:
Step-by-step explanation:
boiii this look are as a mf
<h3>
Answer: 7 cm</h3>
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Explanation:
x = side length of the original square (measured in cm).
One side increases by 8 cm to go from x to x+8. At the same time, an adjacent side decreases from x to x-2 (aka it decreases by 2 cm).
The x by x square turns into a x+8 by x-2 rectangle.
L = x+8 = length
W = x-2 = width
P = perimeter of rectangle
P = 2(L+W)
P = 2(x+8+x-2)
P = 2(2x+6)
P = 4x+12
The perimeter of this rectangle is 4x+12, which is set equal to the stated perimeter 40 cm. We'll use this to solve for x.
P = 40
4x+12 = 40
4x = 40-12
4x = 28
x = 28/4
x = 7
The square originally had side lengths of 7 cm.
Increasing this by 8 cm gets us x+8 = 7+8 = 15 cm. So L = 15.
Also, W = x-2 = 7-2 = 5 cm is the width.
Then note how P = 2(L+W) = 2(15+5) = 40 to help confirm the answer.
Answer:
10,000
Step-by-step explanation:
Let expenditure be 3x and Saving be 2x.
So,
3x + 2x = 2500
5x = 2500
x = 2500/5
x = 500
So,
Expenditure = 3x = 3 × 500 = 1,500
Saving = 2x = 2 × 500 = 10,00
The coordinates would be multiplied by 3, as the scale factor is 3, and it is a dilation, so we know the size increases.
