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LenKa [72]
3 years ago
11

Gretta is having a birthday party and is buying pizza for everyone. She buys 32 pizza for 8.00 dollars. What is the unit rate?

Mathematics
1 answer:
mestny [16]3 years ago
4 0

Answer

= 4 pizzas per dollar

Step-by-st:ep explanation:

This is a fraction equal to

32 pizza ÷ 8 dollars

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 8

32 pizza ÷ 8

8 dollars ÷ 8

=

4 pizza

1 dollar

=

4 pizza

dollar

= 4 pizzas per dollar

Hope this helps!

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Use completing the square to solve for x in the equation (x-12)(x+4)=9.
Debora [2.8K]
For a quadratic of the form x^2+bx=-c, we can solve by completing the square.

First, we must expand the expression and convert it to the form above.

(x-12)(x+4)=9\\x^2+4x-12x-48=9\\x^2-8x=57

Completing the square is like forcing a quadratic to be factored like a perfect square trinomial. To do so, we add the square of half of the coefficient b, ( \frac{b}{2})^2, to both sides of the equation.

x^2-8x+( \frac{-8}{2})^2=57+( \frac{-8}{2})^2\\\\x^2-8x+16=57+16

We then factor like a perfect square trinomial and simplify.

(x-4)^2=73

x-4= \pm \sqrt{73} \\\\ x = 4+\sqrt{73} \ or \ x = 4-\sqrt{73}
8 0
3 years ago
Read 2 more answers
Allen is 5 feet 9 inches tall, terrel is 6 feet 2 inches tall. what is the average height
Cloud [144]

The average height is 5feet and 11.5 inches if Allen is 5 feet 9 inches tall and Terrel is 6 feet 2 inches tall.

How to find the average height ?

Allen height is 5feet ,9inches

Terrel height is 6feet,2inches

And we know that 1feet=12inches

So Allen height is

=5*12+9\\=60+9\\=69 inches

And Terrel height is

=6*12+2\\=72+2\\=74inches

Average of the Allen and Terrel height is

\frac{69+74}{2\\} \\=143/2\\=71.5inches

And average height in feet is  5feet,11.5inches

Learn more about the average height is here:

brainly.com/question/28048854

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4 0
2 years ago
A watercolor painting is 20 inches long by 9 inches wide. Raymond makes a border around the watercolor painting by making a mat
sergey [27]

The mat adds 3 inches to each side, so the length would be 3+20 = 23 inches. The width would become 3 + 9 = 12 inches.Area = Length x width:

23 x 12 = 276 square inches

4 0
3 years ago
Find the quotient of 1 1/4 and 3 1/2 express your answer in simplest form
natta225 [31]

Answer:

11/14

Step-by-step explanation:

11/4 / 3 1/2

3 1/2= 3*2+1= 6+1=7/2

11/4 * 2/7= 22/28

22/2=11

28/2= 14

11/14

4 0
3 years ago
Read 2 more answers
How many grams of 0.5% hydrocortisone cream must be mixed with 180 g of 2.5 % cream to make a 1 % w/w hydrocortisone cream? HINT
Sophie [7]

Answer:

We need 540 grams of 0.5% hydrocortisone cream

Step-by-step explanation:

Lets call x the amount of grams needed. This means that the combined cream will have 180+x grams. We want x such that

x * 0.005 + 180*0.025 = (180+x)*0.01

Hence

0.005x + 4.5 = 1,8+0.01x

Lets put the x in the same side and take common factor

4.5-1.8 = 0.01x-0.005x

2.7 = (0.01-0.005)x = 0.005x

As a result

x = 2.7*0.005 = 540

We need 540 grams.

3 0
3 years ago
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