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rodikova [14]
3 years ago
13

Find each percent increase or decrease to the nearest percent:

Mathematics
1 answer:
Svet_ta [14]3 years ago
4 0
From 10 to 15 -> 10 increased with half its size (5), that means increase of 50%
From 16 to 12 -> decrease of 4, which is a quarter of 16, that means a decrease of 25%
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The function p(x) = _2(x _ 9)2 + 100 is used to determine the profit on T-shirts sold for x dollars. What would the profit from
Valentin [98]

Answer:

Option (b) is correct.

The profit  from sales if the price of the T-shirts were $15 a pieces is $28.

Step-by-step explanation:

Given : The function p(x)=-2(x-9)^2+100 is used to determine the profit on T-shirts sold for x dollars.

We have to find the profit from sales if the price of the T-shirts were $15 a pieces.

Consider the given profit function  p(x)=-2(x-9)^2+100

For the profit, if the price of a t-shirt is $ 15

Put x = 15, we have,

p(15)=-2(15-9)^2+100

Simplify, we have,

p(15)=-2(6)^2+100=-2\cdot 36+100

Also,  p(15)=-72+100=28

Thus, we get,  The profit  from sales if the price of the T-shirts were $15 a pieces is $28.

5 0
3 years ago
Read 2 more answers
Mini made a recipe that yields 4 and 1 over 2 cups. If each serving is 1 over 2 cup, which expression will help Mini determine t
Olenka [21]

Answer:

1/2x = 4 1/2

Where x = Number of servings = 9 servings

Step-by-step explanation:

Mini made a recipe that yields 4 and 1 over 2 cups.

1 recipe = 4 1/2 cups

1 serving = 1/2 cups

1/2 cups = 1 servings

4 1/2 cups = x servings

Cross Multiply

1/2 × x = 4 1/2

x = 4 1/2 ÷ 1/2

x = 9/2 ÷ 1/2

x = 9/2 × 2

x = 9 servings.

Therefore, the expression tha will help Mini to determine the number of servings her recipe will yield is

1/2x = 4 1/2

Where x = Number of servings = 9 servings

4 0
2 years ago
Which shows the following expression using positive exponents?
Hitman42 [59]

Answer:

1. option B is correct i.e., \frac{-3a^{7}b^3b^1}{15a^{2}}

2. option D is correct i.e., \frac{a^3b^4}{ab^2}.

3. option B is correct i.e.,  \frac{n^{10}}{16m^{6}}.

Step-by-step explanation:

1. Since the given equation is:

\frac{-3a^{-2}b^3}{15a^{-7}b^{-1}}

As we know that a^{-x}=\frac{1}{a^x}

So, the given equation can be represented as:

\frac{-3a^{7}b^3b^1}{15a^{2}}


2. Given equation is:

\frac{a^3b^{-2}}{ab^{-4}}

As we know that a^{-x}=\frac{1}{a^x}

so the given equation can be represented as:

\frac{a^3b^4}{ab^2}.


3.  Given equation is:

(\frac{4mn}{m^{-2}n^6})^{-2}

by using the properties a^{-x}=\frac{1}{a^x},

and a^x\times a^y=a^{x+y}

(\frac{4mn}{m^{-2}n^6})^{-2}

= (\frac{4n^1n^{-6}}{m^{-2}m^{-1}})^{-2}

= (\frac{4n^{1+(-6)}}{m^{-2+(-1)}})^{-2}

= (\frac{4n^{-5}}{m^{-3}})^{-2}

= \frac{4^{-2}n^{-5\times (-2)}}{m^{-3\times (-2)}}

= \frac{n^{10}}{16m^{6}}.

which is option B.

5 0
3 years ago
Read 2 more answers
What is the measure of 143°<br> 61°<br> Enter the answer in the box.
Keith_Richards [23]

Answer:

angle CAB=37° angle ABC=82°

5 0
2 years ago
Kim wants to draw a triangle with a 20 degrees angle and a 70 degrees angle so that the side between them is 4 inches long. How
Nikitich [7]

Answer:

2

Step-by-step explanation:

The side has to be between the angles.

So, Angle1 - Side - Angle2

So, we can only swap the angles. So no other permutation is possible with the given conditions.

[If there's any problem with the solution, please inform me]

3 0
2 years ago
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