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SashulF [63]
2 years ago
13

A worker at a frozen yogurt store has 2 3/4 cups of frozen yogurt to give to customers as samples. the worker places 1/16 cup of

frozen yogurt in each sample. How many samples can the worker give using all the frozen yogurt?
Mathematics
2 answers:
kati45 [8]2 years ago
7 0

Answer:

44 samples

Step-by-step explanation:

There are 11/4 cups, and each sample is 1/16 cups, so we have to find <em>how many times 1/16 goes into 11/4</em>. We can do this by dividing <em>11/4 over 1/16</em>. We can do this by multiplying <u>11/4*16/1,</u> as dividing is the same as multiplying the reciprocal. We get <u>176/4</u>, which simplifies to 44 samples.

Musya8 [376]2 years ago
5 0

Answer:

The Worker can give out 44 samples of ice cream.

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If f(x)=x/2-3and g(x)=3x^2+x-6 find (f+g) (x)
olga_2 [115]

Answer:

3x^2+1.5x-9

Step-by-step explanation:

(f+g) (x)

=f(x)+g(x)

=x/2-3+3x^2+x-6

=3x^2+1.5x-9

3 0
3 years ago
The swimming pool at Spring Valley High School is a rectangle with a width of 70 meters and a length of 25 meters. Around the pe
erik [133]
<h3>Answer:   4w^2+190w</h3>

================================================

Explanation:

Check out the attached image below. Specifically, take a look at figure 1. We start with a rectangle which is 70 meters by 25 meters. Then we extend this rectangle out by adding two copies of w to each dimension having the larger rectangle be (70+2w) meters by (25+2w) meters.

The original smaller rectangle has area of 70*25 = 1750 square meters.

The new larger rectangle area is a bit more tricky to figure out, though its not too bad once you get the hang of it. You could use the FOIL rule to get

(70+2w)(25+2w) = 70*25+70*2w+2w*25+2w*2w

(70+2w)(25+2w) = 1750+140w+50w+4w^2

(70+2w)(25+2w) = 1750+190w+4w^2

(70+2w)(25+2w) = 4w^2+190w+1750

Or you could use the box method shown in figure 2.

The idea is to write the terms of (70+2w) and (25+2w) along the edges of the box. Then filling out the 4 inner boxes involves multiplying the outer terms. Example: row1,column2 has 50w inside it because we multiply the outer terms 25 and 2w to get 25*2w = 50w. The other boxes are filled out in a similar fashion.

Although the FOIL rule is handy and taught in a lot of math books/classes, I prefer the box method because the box method can be extended to other cases (not just multiplying two binomials).

Whichever method you use, the larger rectangle has area 4w^2+190w+1750 square meters.

-------------------------------

So,

A = area of larger rectangle = 4w^2+190w+1750

B = area of smaller rectangle = 1750

C = difference in areas of A and B

C = A - B

C = ( A ) - ( B )

C = ( 4w^2+190w+1750 ) - ( 1750 )

C = 4w^2+190w+1750-1750

C = 4w^2+190w

This represents the area of just the tile border alone. We started with the larger rectangle and took out the smaller rectangle inside to only have the border left over.

-------------------------------

If you want, you can factor out a 'w' to get

4w^2+190w = w(4w+190)

Though this may be optional.

8 0
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11 laps times 5 miles equals 55 laps. If she gets 3 dollars for every lap she will make $165 for her school.
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3 years ago
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Answer:

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Step-by-step explanation:

Put the numbers into the formula and do the arithmetic.

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Multiple choice geometry question helppp
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COS = Adjacent / Hypotenuse

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