What is 24x + 48y in distributive property

the price of a pair of shoes increases from $50 to $64. What is the percent increase. Please Help, god bless

Vera_Pavlovna [14]

Answer:

Step 1: Calculate the change by subtracting old cost ($50) from the new cost ($64)

Step 2: Divide that change by the old cost ($50). You will get a decimal number

Step 3: Convert the decimal number to a percentage by multiplying by 100%

Step-by-step explanation:

Try this first

3 0

3 years ago

Cam's tent (shown below) is a triangular prism. Find the surface area, including the floor, of his tent.

SVEN [57.7K]

The surface area of the tent is 21.4 m²

Step-by-step explanation:

To find the surface area of a prism you must calculate:

1. The perimeter of the base

2. The area of the base

3. The height of the prism

We have a triangular prism:

Its base is an equilateral triangle of side length 2 m and height 1.7 m

The height of the prism is 3 m

∵ The surface are of the prism is:

S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the equilateral triangle = 3 × length of a side

∵ The length of the side = 2 m

∴ The perimeter of the base = 3 × 2 = 6 m

∵ The area of the triangle = $\frac{1}{2}$ × base × height

∵ The length of the base of the triangle = 2 m

∵ The height of the triangle = 1.7 m

∴ The area of the base = $\frac{1}{2}$ × 2 × 1.7 = 1.7 m²

∵ S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the base = 6 m

∵ The area of the base = 1.7 m²

∵ The height of the prism = 3 m

∴ S.A = 6 × 3 + 2 × 1.7

∴ S.A = 18 + 3.4

∴ S.A = 21.4 m²

The surface area of the tent is 21.4 m²

Learn more:

You can learn more about surface area of a solid in brainly.com/question/12613605

#LearnwithBrainly

3 0

3 years ago

Read 2 more answers

Suppose a couple planned to have three children. Let X be the number of girls the couple has.

sesenic [268]

Answer:

a) {GGG, GGB, GBG, BGG, BBG, BGB, GBB, BBB}

b) {0,1,2,3}

c)

$P(X=2) = \dfrac{3}{8}$

d)

$P(\text{3 boys}) = \dfrac{1}{8}$

Step-by-step explanation:

We are given the following in the question:

Suppose a couple planned to have three children. Let X be the number of girls the couple has.

a) possible arrangements of girls and boys

Sample space:

{GGG, GGB, GBG, BGG, BBG, BGB, GBB, BBB}

b) sample space for X

X is the number of girls couple has. Thus, X can take the values 0, 1, 2 and 3 that is 0 girls, 1 girl, 2 girls and three girls from three children.

Sample space: {0,1,2,3}

c) probability that X=2

P(X=2)

That is we have to compute the probability that couple has exactly two girls.

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

Favorable outcome: {GGB, GBG, BGG}

$P(X=2) =\dfrac{3}{8}$

d) probability that the couple have three boys.

Favorable outcome: {BBB}

$P(BBB) = \dfrac{1}{8}$

8 0

3 years ago

For each of the graphs below choose inequality that best represent the graph. explain your reasoning.

Sveta_85 [38]

The desired inequalities are given as follows:

A. A. x > x + 1. because solving it yields an inequality that is False for all real numbers x.

B. D. x < x + 1, because solving it yields an inequality that is True for all real numbers x.

<h3>Which inequality represents graph A?</h3>

For graph A, as nothing is plotted on the line, we have a inequality with no solution.

The successor of a number(number plus 1), will always be greater than the number, hence the inequality that has no solution is:

A. x > x + 1. because solving it yields an inequality that is False for all real numbers x.

<h3>Which inequality represents graph B?</h3>

For graph B, as the entire line is plotted, we have a inequality with all real values as solution.

From the same logic above, of the successor, the correct option is:

D. x < x + 1, because solving it yields an inequality that is True for all real numbers x.

More can be learned about inequalities at brainly.com/question/25235995

#SPJ1

4 0

2 years ago

If on a scale drawing 24 inches equals 10 ft. what does 1/8 inches equal

OLga [1]

Answer:

$\large\boxed{\large\boxed{(5/96)ft\approx 0.052ft}}$

Explanation:

1. Use the scale ratio to set a proportion with the unknown lenght.

$24inches/10ft=(1/8)inches/x$

2. To solve for x, use cross multiplication:

$24inches\times x=10ft\times(1/8)inches$

3. Divide both sides by 24inches:

$x=10ft\times(1/8)inches\times (1/24inches)$

4. Simplify:

$x=10ft/192=(5/96)ft\approx 0.052ft$

6 0

4 years ago