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2 years ago

8

The markup over the dealer's cost on a new refrigerator ranges from 15% to 20%. If the dealer's cost is $1750, over what rage wi

ll the selling price vary?

1 answer:

jok3333 [9.3K]2 years ago

6 0

The markup will range from $2012.50 to $2100.

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What is the following product? <br>(4x square root 5x^2 + 2^2 square root 6)^2

tangare [24]

The product is $104 x^{4}+16 \sqrt{30} x^{4}$

Explanation:

The given expression is $\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}$

We need to determine the product of the given expression.

First, we shall simplify the given expression.

Thus, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x \sqrt{5} x+2 x^{2} \sqrt{6}\right)^2$

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)^2$

Expanding the expression, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)$

Now, we shall apply FOIL, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}\right)^{2}+2 ( 2 x^{2} \sqrt{6})(4 x^{2} \sqrt{5})+\left(2 x^{2} \sqrt{6}\right)^{2}$

Simplifying the terms, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=16 \cdot 5 x^{4}+16 \sqrt{30} x^{4}+4 \cdot 6 x^{4}$

Multiplying, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=80 x^{4}+16 \sqrt{30} x^{4}+24 x^{4}$

Adding the like terms, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=104 x^{4}+16 \sqrt{30} x^{4}$

Thus, the product of the given expression is $104 x^{4}+16 \sqrt{30} x^{4}$

7 0

3 years ago

Shelby Middle School is thinking of changing its dress code. What would be the best way to collect data?

mixas84 [53]

Answer:

Choose every tenth student entering the school and ask them if they like the dress code or not.

Step-by-step explanation:

This is a question of sampling. We need to make non-biased predictions using non-biased data. We can sample from every tenth student to stay proportional. Sampling many students can collect more data and can help keep the data non-biased.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

8 0

2 years ago

18 push-ups in 3 days = push ups per day

Kruka [31]

Answer:

6 pushups

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

On a map, if one centimeter represents 25 kilometers, how many kilometers does 7 centimeters represent?

Elena-2011 [213]

Answer:

x = 175 km

Step-by-step explanation:

We can use ratios to solve this problem. Put the map distance over the real life distance.

1 cm 7 cm

-------- = ---------

25 km x km

Using cross products.

1 * x = 7 * 25

x = 175 km

4 0

3 years ago

The length of a rectangle is twice the width. The area is 162 yd? Find the length and the width.

Tresset [83]

Answer:

length = 2x = 2(9) = 18 yds

Step-by-step explanation:

Let width = x

Let length = 2x

Area = 162 yd2

length × width = Area

2x(x) = 162

2x2 = 162

Divide by 2 on both sides of equation.

x2 = 81

Square-root both sides of equation to undo the exponent.

x = √(81)

x = 9

Substitute this x value into the initial variables.

width = x = 9 yds

length = 2x = 2(9) = 18 yds

6 0

2 years ago