A. X = -2 B. X = 2 C. X = 3 D. X = 0

You and some friends have $30. You want to order large pizzas (p) that are $9 each and drinks

DochEvi [55]

Given:
Budget = $30
cost of pizza = $9
cost of drinks = $1
number of pizza = p
number of drinks = d

pizza and drinks should only be equal to or less than the budget of $30.

$9p + $1d < $30

unit cost of pizza : 9
unit cost of drinks : 1
total cost of set (p & d) 10

pizza = 9/10 x 30 = 27 total cost of pizza
drinks =1/10 x 30 = 3 total cost of drinks

27 ÷ 9 = 3 number of pizzas to order
3 ÷ 1 = 3 number of drinks to order

To check:

9p + 1d < 30
9(3) + 1(3) < 30
27 + 3 < 30
30 < 30

6 0

3 years ago

The state of New Jersey makes approximately $1.55 billion annually from tolls of the $1.55 billion about 3/4 comes from tolls on

Rama09 [41]

Percent of turn pike is 75% and percent of parkway is 25%.

Solution:

Given, The state of New Jersey makes approximately $1.55 billion annually from tolls of the $1.55 billion

About $\frac{3}{4}$ comes from tolls on the turnpike

Remaining $\frac{1}{4}$ comes from tolls on the parkway

To find the percent of the total revenue from turnpike:

$\begin{array}{l}{\text { Percent of turnpike }=\frac{\text { amount from parkway }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{3}{4} \text { of total revenue }}{\text { tot al revenue }} \times 100} \\\\ {=\frac{\frac{3}{4} \times \text { total revenue }}{\text { total revenue }} \times 100} \\\\ {=\frac{3}{4} \times 100=3 \times 25=75 \%}\end{array}$

To find the percent of the total revenue from parkway:

$\begin{array}{l}{\text { Percent of parkway }=\frac{\text { amount from parkway }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{1}{4} \text { of total revenue }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{1}{4} \times \text { total revenue}}{\text { total revenue }} \times 100} \\\\ {=\frac{1}{4} \times 100=25 \%}\end{array}$

Summarizing the results:

Percent of turn pike is 75%

Percent of parkway is 25%

3 0

3 years ago

What is the exact volume of a sphere that has a radius of 9.6 m? <img src="https://tex.z-dn.net/?f=%20%5Cpi%20" id="TexF

Evgesh-ka [11]

We have to find the volume of the sphere that has a radius of 9.6 m. The formula for the volume of the sphere is: V = 4/3 r^3 Pi. ( r = 9.6 m, Pi = 3.14 ) V = 4/3 * 9.6^3 * 3.14; V = 4/3 * 884.736 * 3.14; V = 3,705.97349m^3 ( when the number Pi is more accurate ). Answer: The exact volume of the sphere is 3,704.97349 m^3.

4 0

3 years ago

Eileen’s cookies charges $0.40 per cookie with a delivery fee of $8. Insomnia cookies charges $1.50 per cookie with a $2.50 deli

Nuetrik [128]

Answer: 5 cookies

Step-by-step explanation: 8 + .4c = 2.5 + 1.5c

8 + 0.4c = 2.5 + 1.5c

8 · 10 + 0.4c · 10 = 2.5 · 10 + 1.5c · 10

80 + 4c = 25 + 15c

4c = 15c - 55

4c - 15c = 15c - 55 - 15c

-11c = -55

c = 5

8 0

3 years ago

Express 45 minutes as a fraction of 1 hour

Pepsi [2]

Answer:

$\frac{3}{4}$

Step-by-step explanation:

There are 60 minutes in 1 hour

To express as a fraction

$\frac{45}{60}$

Divide numerator/denominator by 15

$\frac{45}{60}$ = $\frac{3}{4}$

8 0

3 years ago