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IRISSAK [1]
3 years ago
6

A piece of rope is 55 feet 6 inches long and a piece 6 feet 9 inches is cut from it.

Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0

ANSWER= the remaining piece of rope is 48 feet 9 inch long.

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Simplify 28/184 by reducing to lowest form<br> A) 1/46<br> B) 1/7<br> C) 14/92<br> D) 7/46
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3 years ago
In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second
Molodets [167]

Given:

In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second.

To find:

The equation for the given situation if the sum of the numbers is 77.

Solution:

a. Let the first number in the set is x.

The second is 3 more than the first. So, the second number is (x+3).

The 3rd number is a square of the second. So, the third number is (x+3)^2.

Therefore, the first, second and third numbers are x,(x+3),(x+3)^2 respectively.

b. The sum of the numbers is 77.

First number + Second number + Third number = 77

c. So, the equation in terms of x is:

x+(x+3)+(x+3)^2=77

Therefore, the required equation is x+(x+3)+(x+3)^2=77.

d. On simplification, we get

x+x+3+x^2+6x+9=77                   [\because (a+b)^2=a^2+2ab+b^2]

x^2+(6x+x+x)+(3+9)=77

x^2+8x+12=77

Subtract 77 from both sides.

x^2+8x+12-77=77-77

x^2+8x-65=0

Therefore, the simplified form of the required equation is x^2+8x-65=0.

6 0
3 years ago
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