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eduard
3 years ago
5

Scott’s soup recipe for four servings has three carrots and two celery sticks. How many carrots and how many celery sticks does

Scott need for 12 servings. Enter your answer and your work.
Mathematics
1 answer:
noname [10]3 years ago
8 0

Answer:

9 carrots and 6 celery sticks

Step-by-step explanation:

4 times 3 equals 12. So you would multiply 3 times 3 which equals 9. And multiply 2 by 3 which equals 6. So you would need 9 carrots. And 6 celery sticks

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Readme [11.4K]

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8 0
3 years ago
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What is the constant of proportionality for the graph?
Lelechka [254]

Answer:

k = 5

Step-by-step explanation:

y = kx

10 = 2k

k = 5

3 0
3 years ago
Solve <br> 5x+3y=32<br> 2x+4y=10
liberstina [14]

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3 0
2 years ago
A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shif
omeli [17]

We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is \frac{7\pi}{12}. The graph of the function does not show a phase shift. We are asked to write the equation of our function.

We know that general form a cosine function is y=A\cos(b(x-c))-d, where,

A = Amplitude,

\frac{2\pi}{b} = Period,

c = Horizontal shift,

d = Vertical shift.    

The equation of parent cosine function is y=\cos(x). Since function is reflected about x-axis, so our function will be y=-\cos(x).

Let us find the value of b.

\frac{2\pi}{b}=\frac{7\pi}{12}

7\pi\cdot b=24\pi

\frac{7\pi\cdot b}{7\pi}=\frac{24\pi}{7\pi}

b=\frac{24}{7}

Upon substituting our given values in general cosine function, we will get:

f(x)=-11\cos(\frac{24}{7}x)-9

Therefore, our required function would be f(x)=-11\cos(\frac{24}{7}x)-9.

7 0
3 years ago
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marta [7]

Answer:

  1. Infinitely Many
  2. Distributive Property

Step-by-step explanation:

8x + 2(x - 7) = 7x + 3x - 14

8x + 2x - 14 = 7x + 3x - 14                 Distributive property.

10x - 14 = 10x - 14                              Combine the like terms.

-14 = -14                                             Subtraction.

0 = 0                                                  Addition.

Since the statement 0 = 0 is true regardless of the value of x, there is infinitely many solutions.

7 0
1 year ago
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