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Studentka2010 [4]
3 years ago
12

An art teacher makes a batch of purple paint by mixing 3/4 cup red paint with 3/4 cup blue paint. If she mixes 13 batches, how m

any cups of purple paint will she have?​
Mathematics
2 answers:
denpristay [2]3 years ago
8 0

Answer:

19 and 1/2 cups

Step-by-step explanation: First write out the problem then do 3/4 multiplied by 13. Next, multiply the answer by 2.

lidiya [134]3 years ago
5 0

19.5 cups of purple paint.

1 batch = 3/4cup + 3/4cup = 1.5cups

13 batches =1.5cups x 13 =19.5cups

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Find a degree 3 polynomial that has zeros -2,3 and 6 and in which the coefficient of x^2 is -14. The polynomial is: _____
andriy [413]

Given:

The zeros of degree 3 polynomial are -2, 3 , 6.

The coefficient of x² is -14.

Let the degree 3 polynomial be,

\begin{gathered} p(x)=(x-x_1)(x-x_2)(x-x_3) \\ =(x-(-2))(x-3)(x-6) \\ =\mleft(x+2\mright)\mleft(x-3\mright)\mleft(x-6\mright) \\ =\mleft(x^2-x-6\mright)\mleft(x-6\mright) \\ =x^3-x^2-6x-6x^2+6x+36 \\ =x^3-7x^2+36 \end{gathered}

But given that, coefficient of x² is -14 so, multiply the above polynomial by 2.

\begin{gathered} p(x)=x^3-7x^2+36 \\ 2p(x)=2(x^3-7x^2+36) \\ =2x^3-14x^2+72 \end{gathered}

Answer: The polynomial is,

p(x)=2x^3-14x^2+72

8 0
1 year ago
How bad is the heavy traffic? You can walk 14
Nikitich [7]

Answer:

I walk at a rate of 4 miles per hour, while the car travels at 10 miles per hour.

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Since I can walk 14 miles in the same time that it takes to travel 35 miles by car, if the car's rate is 6 miles per hour faster than my walking rate, to find the average rate of each the following calculation must be performed:

35 - 14 = 21

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35 / 3.5 = 10

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So, I walk at a rate of 4 miles per hour, while the car travels at 10 miles per hour.

4 0
3 years ago
Keira created color panels for a wall using a mix of only red and blue paints. She plotted the quantities of red and blue paints
finlep [7]
<span>Hey there!

I believe these are the options?

3 ≤ x ≤ 12 or x is between 3 and 12, inclusive 
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8 0
3 years ago
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Andrei [34K]

Answer:

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Step-by-step explanation:

A rational number is a number that can be expressed as a fraction.

A decimal can be a rational number when it repeats or ends.

3 0
3 years ago
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NikAS [45]

Answer:

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7 0
3 years ago
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