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fomenos
2 years ago
8

Clare has a recipe for yellow cake. She uses 9 ⅓ cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c

cakes using f cups of flour. Which of these equations represent the relationship between cake and flour?
Mathematics
2 answers:
USPshnik [31]2 years ago
6 0

Answer:

Relationship between c and f is 7c - 3f = 0

Step-by-step explanation:

Since Clare has to use 9 cups each of them having 1/3 part filled with flour for making of 4 cakes.

Implies that 4 cakes require 28/3 cups of flour.

So 1 cake will require 28/4 x 3 cups of flour.

And c cakes will require 28c/12 cups of flour.

Hence according to the question

28c/12 = f

⇒ 28c = 12f

⇒ 7c = 3f

⇒ 7c - 3f = 0 is required equation.

zloy xaker [14]2 years ago
4 0

Answer:

lol

Step-by-step explanation:

lol

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Step-by-step explanation:

6+8x-7-x

Combine like terms

8x-x +6-7

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Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court
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Answer:

(a)\dfrac{92}{117}

(b)\dfrac{8}{39}

(c)\dfrac{25}{117}

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>

(a)Probability that both appointees are men.

P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

  • A man is appointed first and a woman is appointed next.
  • A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed)=P(MW)+P(WM)

=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

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  • A woman is appointed first and a man is appointed next.
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P(at least one woman is appointed)=P(MW)+P(WM)+P(WW)

P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}

In Part B, P(MW)+P(WM)=\frac{8}{39}

Therefore:

P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}

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