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2 years ago

Replace with <,>, or = to make a true statement: 2^5 4^2

Mathematics

1 answer:

Crank2 years ago

3 0

Answer:

2^5>4^2

Step-by-step explanation:

${2}^{5} > {4}^{2} \\ 32 > 16$

hopefully this makes sense

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Find the measure of side XY.

Ymorist [56]

Answer:

XY = 18

Step-by-step explanation:

The figures are similar so the ratios of corresponding sides are equal, that is

$\frac{XY}{BC}$ = $\frac{YZ}{CD}$ , substitute values

$\frac{XY}{12}$ = $\frac{15}{10}$ ( cross- multiply )

10 XY = 180 ( divide both sides by 10 )

XY = 18

4 0

2 years ago

A department store buys 200 shirts at a cost of $5,400 and sells them at a selling

jekas [21]

Number of shirts a department store bought = 200

Cost price of 200 shirts = $5400

Cost price of 1 shirt :

$=\tt \frac{5400}{200}$

$\color{plum} =\tt \$27$

Thus, the cost price of one shirt = $27

Price at which the department store sold each shirt = $30

Which means :

▪︎Cost price of shirt = $27

▪︎Selling price of shrit = $30

Since selling price is greater than cost price, there was a markup in the price of the shirts.

We know that :

$\color{hotpink}\tt \: markup \: percentage = \color{plum} \frac{selling \: price - cost \: price}{cost \: price } \times 100$

Markup percentage in the price of the shirts :

$= \tt \frac{30 - 27}{27} \times 100$

$= \tt \frac{3}{27} \times 100$

$= \tt \frac{3 \times 100}{27}$

$= \tt \frac{300}{27}$

$\color{plum} = \tt11.1 \%$

Thus, the percentage of markup = $\tt 11.1 \%$

Therefore, the percentage of markup in the shirt's price = $\color{hotpink} \tt11.1 \%$

3 0

2 years ago

Read 2 more answers

Find the volume of a pyramid with a square base, where the side length of the base is

ValentinkaMS [17]

Answer:

Step-by-step explanation:

Volume of a pyramid can be found by using the formula

$v = \frac{1}{3} \times a \times h \\$

a is the area of the base

h is the height

Since the base is a square we have

$v = \frac{1}{3} \times {15.3}^{2} \times 19.6 \\ = 78.03 \times 19.6 \\ = 1529.388$

We have the final answer as

Hope this helps you

3 0

2 years ago

The vertex of the graph of f(x) = |x - 3| +6 is located at<br> Done<br> Intro

Igoryamba

Answer:

The vertex of the graph is located at the point (3,6)

Step-by-step explanation:

Here, we want to know where the vertex of the equation if plotted will be

To get this, what we have to do is to equate the expression that we have in the absolute value to zero

After this, we then proceed to solve for the value of x

We have this as;

x -3 = 0

hence;

x = 0 + 3

x = 3

to get the y-value of the vertex, we look at the value at the side of the absolute value

This value is 6 and thus, the y-value of the vertex point is 6

So the coordinates of the vertex is (3,6)

8 0

2 years ago

how do I Translate the following verbal statement into an algebraic equation and then solve: Krystal bought a nightstand on sale

GREYUIT [131]

Answer:the original price is $680

Step-by-step explanation:

1/4(x)=170

4×1/4(x)=4×170

x=$680

6 0

2 years ago