Uldpung Piecewise Furttions: Mastery Test

Alberto’s monthly income is $3,200. Part of Alberto’s monthly budget is shown in the table.

Sladkaya [172]

Using the percentage concept, it is found that 40% of Alberto’s income is used to pay for his rent and groceries.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

$P = \frac{a}{b} \times 100\%$

In this problem:

Alberto’s monthly income is $3,200, hence b = 3200.

He spends 896 + 384 = $1280 in rent and groceries, hence a = 1280.

Then, the percentage is given by:

$P = \frac{1280}{3200} \times 100\% = 40\%$

More can be learned about the percentage concept at brainly.com/question/10491646

7 0

1 year ago

5p + 3 = 15 Write a situation that this equation could help you solve and explain how each part of the equation relates to the s

riadik2000 [5.3K]

Expressions can be represented as equations, and vice versa.

A possible situation is as follows:

<em>John is 15 years old, and his age is 3 more than 5 times his brother's age</em>

The equation is given as:

$\mathbf{5p + 3 = 15}$

This means that:

15 represents John's age
P represents his brother's age
5 and 3 are the constants that relate their ages

Read more about word equations at:

brainly.com/question/20518082

4 0

2 years ago

Read 2 more answers

Marie, Shelia, and Martha bought snacks for a girl's sleepover. They each bought the items shown in the following table at the l

creativ13 [48]

Using a system of equations, it is found that the unit prices are:

$2.25 for a bag of chips.

$1.50 for a liter of pop.

$1.75 for a chocolate bar.

For the system:

x is the unit price of a bag of chips.

y is the unit price of liter of pop.

z is the unit price for a chocolate bar.

From the table, the equations are:

$2x + 2y + z = 9.25$

$3x + 4y + z = 14.50$

$x + 3y + 3z = 12$

Replacing the <u>first equation on the second and the third:</u>

$z = 9.25 - 2x - 2y$

$3x + 4y + z = 14.50$

$3x + 4y + 9.25 - 2x - 2y = 14.50$

$x + 2y = 5.25$

$x = 5.25 - 2y$

$x + 3y + 3z = 12$

$x + 3y + 3(9.25 - 2x - 2y) = 12$

$-5x - 3y = -15.75$

$5x + 3y = 15.75$

Since $x = 5.25 - 2y$ :

$5(5.25 - 2y) + 3y = 15.75$

$-7y = -10.5$

$y = \frac{10.5}{7}$

$y = 1.5$

Then:

$x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25$

$z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75$

The unit prices are:

$2.25 for a bag of chips.

$1.50 for a liter of pop.

$1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

4 0

2 years ago

The price of a new computer is p dollars. The computer is on sale for 30% off. Which expression shows the savings that are being

4vir4ik [10]

Answer:

A. P - 0.3P

Step-by-step explanation:

Given the price of the computer is P dollars and it’s on sale for 30% off.

That’s

30% /100% x P

0.3 x P

0.3P

Savings being offered on the computer is therefore

P - 0.3P

This is because 0.3P is the discounted amount and to get the sale on amount , you subtract the discounted amount from the original price P

6 0

3 years ago

Roberto is 3 years older than Carolyn. In 7 years the sum of their ages will be 81. How old is Roberto now?

Nuetrik [128]

Answer: 35

the age of Roberto is x (x > 3)(x ∈ N)

because Roberto is 3 years older than Carolyn => the age of Carolyn is x - 3

in 7 years, the age of Roberto is x + 7; the age of Carolyn is x - 3 + 7 = x + 4

because In 7 years the sum of their ages will be 81 =>

x + 7 + x + 4 = 81

⇔ 2x + 11 = 81

⇔ 2x = 70

⇔ x = 70/2 = 35

=> the age of Roberto is 35

Step-by-step explanation:

3 0

2 years ago