How many dollars do you have if you have 90 nickels, 16 dimes, 16 quarters, and 7 fifty-cent pieces? Show your work and explain each step.

$13.60

Step By Step:

A nickle is worth 5 cents.

A dime is worth 10 cents.

A quarter is worth 25 cents.

5 Cents • 90 Nickles = 450

10 Cents • 16 Dimes = 160

25 Cents • 16 Quarters = 400

50 Cents • 7 fifty-cent pieces = 350

450 + 160 + 400 + 350 = 1360

A dollar is worth 100 cents.

1360 ÷ 100 = $13.60

Step-by-step explanation:

You have 90 nickels

Since 20 nickels = 1 dollar you have 4 dollars and 10 nickels left over

The ten nickels left = 1/2 a dollar or 50 C

You have 16 dimes

10 dimes = 1 dollar

You have 1 dollar and 6 dimes left over.

So you have 1 dollar and 60 C

You have 16 quarters.

4 Quarters = 1 dollar

16/4 = 4 dollars. No quarters are left over.

You have 7 fifty-cent pieces

2 fifty cent pieces = 1 dollar

7/2 = 3 dollars and 50 cents left over.

I don't exactly know what you want as a final answer, but here is what I think it is

nickels =                     4 dollars and 50 cents

dimes   =                     1 dollar and   60 cents

quarters                      4 dollars

fifty cent pieces          3 dollars        50 cents

Adjustments                 1                     60 cents*

Totals                           13                    60 cents.

*The adjustment comes from 2 values of 50 cents each and 60 cents which cannot be combined with anything.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

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)