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Alex17521 [72]
4 years ago
11

a recipe requires 3/4 cup of nuts to make 1 cake. what is the maximum number of cakes that can be made using 7 1/2 cups of nuts

Mathematics
1 answer:
ladessa [460]4 years ago
8 0
7.5/.75 = 10
10 cakes
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Half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories 1/4 of a pepperoni pizza plus a who
yulyashka [42]

Answer:

Correct choice is D (In a whole pepperoni pizza are 660 calories, in  in a whole ham and pineapple pizza are 580 calories).

Step-by-step explanation:

Let x calories be the number of calories a whole pepperoni pizza contains and y calories be the number of calories a whole ham and pineapple pizza contains.

1. If half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories, then

\dfrac{1}{2}x+\dfrac{3}{4}y=765.

2. If 1/4 of a pepperoni pizza plus a whole ham and pineapple pizza contains 745 calories. then

\dfrac{1}{4}x+y=745.

3. Multiply each equation by 4 and get a system of two equations:

\left\{\begin{array}{l}2x+3y=3060\\x+4y=2980\end{array}\right.

From the second equation x=2980-4y, then

2(2980-4y)+3y=3060,\\ \\5960-8y+3y=3060,\\ \\-8y+3y=3060-5960,\\ \\-5y=-2900,\\ \\y=580.

Then

x=2980-4\cdot 580=2980-2320=660.

6 0
3 years ago
Tim install 50 square feet of his floor in 45 mins. At this rate how long does it take him to install 495 square feet. Is that 9
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Answer:

the answer is 445.5

Step-by-step explanation:

what I did was divide 50 by 495 and got 9.9 then since it took 45 minutes every 50 square feet of floor i multiplied 45 x 9.9 and got 445.5  

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3 years ago
What is the part and whole of 40% of 20?
pashok25 [27]
The answer is 8

I hope this helps!
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