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2 years ago

A recipe calls for 3 cups of sugar to 4 cups of flour.

Mathematics

1 answer:

MA_775_DIABLO [31]2 years ago

5 0

0.75 cups of flour to 1 cup of sugar.

Step-by-step explanation: From the question, we are informed that a recipe calls for 3 cups of flour to 4 cups of sugar and told to calculate the unit rate.

It simply means what we need to calculate much flour to one cup of sugar. This will be:

= 3/4 = 0.75

Therefore, the unit rate will be:

0.75 cups of flour to 1 cup of sugar.

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Read 2 more answers

A bag contains 20 slips of paper Individually numbered. If a slip of paper and a letter in the word PENNSYLVANIA is chosen at ra

Soloha48 [4]

Answer:

$P(M4\ n\ V) = 2.083\%$

Step-by-step explanation:

Given

Paper = 20 slips

Word: PENNSYLVANIA

Required

Determine P(Multiple of 4 and V)

The sample size of the 20 slips is:

$n(S) = 20$

The outcomes of multiples of 4 is:

$M4= \{4,8,12,16,20\}$

$n(M4) = 5$

So, the probability of multiples of 4 is:

$Pr(M4) = \frac{5}{20}$

$Pr(M4) = \frac{1}{4}$

The sample size of PENNSYLVANIA is:

$n(S) = 12$

The outcome of V is:

$n(V) = 1$

So, the probability of V is:

$P(V) = \frac{1}{12}$

So, the required probability is: P(Multiple of 4 and V)

$P(M4\ n\ V) = P(M4) * P(V)$

$P(M4\ n\ V) = \frac{1}{4} * \frac{1}{12}$

$P(M4\ n\ V) = \frac{1}{48}$

$P(M4\ n\ V) = 0.02083$

Express as percentage

$P(M4\ n\ V) = 0.02083 * 100\%$

$P(M4\ n\ V) = 2.083\%$

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3 years ago

z varies directly with x^2 and inversely with y. When x = 2 and y = 4, z = 3. What is the value of z when x = 4 and y = 9?

Aloiza [94]

Attached the solution and work.

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3 years ago