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KATRIN_1 [288]
3 years ago
7

Melissa used 4 cups of sugar to bake 54 cookies. If she’s only used 1 cup of sugar, what would be an equivalent ratio of cups to

cookies
Mathematics
1 answer:
daser333 [38]3 years ago
3 0

Answer:

\frac{2}{27}

Step-by-step explanation:

We have given  that melissa used 4 cups of sugar to bake 54 cookies.

That means 1 cup of sugar will be used to bake \frac{54}{4}=\frac{27}{2} by unitary method

We have to find the ratio of cups to the cookies

We are using 1 cup of sugar

And cookies will be \frac{27}{2}

\text{equivalent ratio}=\frac{1}{\frac{27}{2}}=\frac{2}{27}


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Let $f(x)$ be a quadratic polynomial such that $f(-4) = -22,$ $f(-1)=2$, and $f(2)=-1.$ Let $g(x) = f(x)^{16}.$ Find the sum of
Murrr4er [49]

Answer:

The sum of the coefficients of the terms in (-1.5·x² + 0.5·x + 4)¹⁶ that have even degree is  -4273411167.501

Step-by-step explanation:

The parameters given are;

f(-4) = -22

f(-1) = 2

f(2) = -1

g(x) = f(x)¹⁶

The function f(x) is presented as follows;

f(x) = a·x² + b·x +c

We have;

-22 = a·(-4)² + b·(-4) +c

-22 = a·16 - 4·b +c ..............(1)

2 = a·(-1)² + b·(-1) +c

2 = a - b +c...........................(2)

-1 = a·(2)² + b·(2) +c

-1 = 4·a + 2·b +c...................(3)

Solving the equations (1), (2), and (3) by using an online linear systems solver, we get;

a = -1.5, b = 0.5, c = 4

Therefore, f(x) = -1.5·x² + 0.5·x + 4

f(x)¹⁶ = (-1.5·x² + 0.5·x + 4)¹⁶ which gives the coefficients of the even terms as follows;

656.841 - 19267.331 + 248302.054 - 1772904.419 + 6735603.932 - 2868054.635 - 119602865.901 + 750783340.827 + -2542435585.611 + 5338903756.992 - 6048065910.25 -1031335136 + 17223697920 - 32238338048 + 32107397120 - 17716740096 = -4273411167.501.

3 0
3 years ago
Solve: 3/4x+4=22 answer?
MariettaO [177]

Answer:

x=24

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
52:44
bagirrra123 [75]

Answer:

1          

Step-by-step explanation:

8 0
3 years ago
Which ordered pairs are solutions to the system? Check all of the boxes that apply.
77julia77 [94]

Answer:

the answer is the 3rd & 5th one for anyone doing this question ; )

Step-by-step explanation:

I just did this question

It's right i just checked

7 0
3 years ago
Read 2 more answers
Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make
Tresset [83]

Answer:

The error she made was that she was adding x and 2.75. She should subtract 2.75 from x.

Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.

Step-by-step explanation:

The error she made was that she was adding x and 2.75.

She should write the equation as 8 (x - 2.75) = 78; as she spends $2.75 to make a necklace.

By using the correct equation: 8 (x - 2.75) = 78

=> 8x - 22 = 78

=> 8x = 78 + 22

=> 8x = 100

=> x = 100/8

=> x = 12.5

Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.

Hope this helps you.

3 0
3 years ago
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