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ra1l [238]
2 years ago
8

Marcus is making homemade barbecue sauce. The recipe calls for 3 cups of ketchup for every 1/2 cup of mustard. What is the rate

in cups of ketchup per cup of mustard?
Mathematics
1 answer:
Yuki888 [10]2 years ago
5 0

Answer: 6 cups of ketchup per cup of mustard

Step-by-step explanation:

Given : The recipe calls for 3 cups of ketchup for every \dfrac12 cup of mustard.

That means , for \dfrac12 cup of mustard. we need 3 cups of ketchup.

By using proportions, if we multiply 2 on both sides ,we get

for  \dfrac12\times 2 cup of mustard. we need 3\times 2 cups of ketchup.

⇒ for  1 cup of mustard. we need 6 cups of ketchup.

Hence, the required rate = 6 cups of ketchup per cup of mustard

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Acquarium workers are making a mixture of salt water. The desired ratio is 90 grams of salt per liter of water. What is the rati
Sophie [7]

Answer: 12.07 ounce/gallon.

Step-by-step explanation:

given data:

desired ratio = 90grams / liter of water.

ratio In ounce/ gallon

first we convert our grams to ounce

= 98grams / 28.35

= 3.175 ounce.

converting liter to gallons

= 1/3.8

=0.263 gallons

therefore;

= 3.175 ounce / 0.263 gallons

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6 0
2 years ago
2527=3<br>3214=8<br>1249=4<br>7321=?<br>A)7 B)3 C)9<br>​
tester [92]

Answer:

c) 9

Step-by-step explanation:

7321=9

8 0
2 years ago
Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of
Travka [436]

Answer:

93.25% probability that they have taken this steroid

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test

Event B: Taking the steroid.

Suppose the probability of an athlete taking a certain illegal steroid is 10%.

This means that P(B) = 0.1

Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.

This means that P(A|B) = 0.995

Positive test:

99.5% of 10%(If the athlete has taken).

100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)

Then

P(B) = 0.995*0.1 + 0.008*0.9 = 0.1067

Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid

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93.25% probability that they have taken this steroid

4 0
2 years ago
Vocabulary quiz scores for the 20 students in Mr. Harley’s class are shown in the table. Use this data to answer questions 4 and
CaHeK987 [17]

Answer:

The mean should be 80.5. This means the average number of test scores is 80.5. The mean absolute deviation should be 15.5. This means the average of the values are less than the mean by  about 15.5.

4 0
2 years ago
Suppose that the amount of algae in a pond doubles every 4 hours. If the pond initially contains 90 pounds of algae, how much al
eimsori [14]
If it doubles every 4 hours, in 12 hours you will have 3 doublings.
2 * 2 * 2 = 8
90*8 = 720 pounds of algae

7 0
2 years ago
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