The sum of two imbers is 100. The sum of 8 and the larger number is equal to 5 times the smaller number. What is the smaller
number?

The smaller number is 18.

Step-by-step explanation:

Given,

Sum of two numbers = 100

The sum of 8 and the larger number is equal to 5 times the smaller number.

To find the smaller number.

Let,

Larger number is x and smaller number is y.

According to the problem,

x+y =100 eq 1

8+x = 5y eq 2

Now,

Putting the value x = 100 - y from eq 1 in eq 2 we get,

8+100-y = 5y

or, 6y = 108

or, y = 18

Hence,

The smaller number is 18.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

a

step-by-step explanation: