3 years ago

One number is 11 more than 3 times another number. Their sum is 75. Find the smaller number.

1 answer:

5 0

X = larger number, y = smaller number

x + y = 75
x = 3y + 11

3y + 11 + y = 75
4y + 11 = 75
4y = 75 - 11
4y = 64
y = 64/4
y = 16 <=== ur smaller number

x = 3y + 11
x = 3(16) + 11
x = 48 + 11
x = 59...ur larger number

You might be interested in

A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters. Which expression represe

mash [69]

Recall that the volume of a regular prism is given by the area of the base times the height.

Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.

Recall that the are of a triangle is given by 1/2 base times height.

Thus the area of of the pentagon base of the prism is given by
$Area= \frac{5}{2} x\times2.8=7x$

Therefore, the volume of the prism is given by
$Volume=7x(2x+1)=14x^2+7x$