26.10.2022

Find the number that makes the ratio equivalent to 1:6.

. 4

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Mathematics
Step-by-step answer
P Answered by PhD
54



Explanation:

The first ratio is 1:6. The jump from 1 to 6 has us multiplying the 1 by 6 to get 6. 
1*6 = 6
So we follow the same rule of "multiply by 6" to go from 9 to 54 (9*6 = 54)

Or you can use a proportion to get
1/6 = 9/x
1*x = 6*9 ... cross multiply
x = 54
and we get the same answer
Mathematics
Step-by-step answer
P Answered by PhD

The mixture that is an equivalent ratio is:

1.5 white 2 blue

Step-by-step explanation:

a) Data and Calculations:

Mixtures of the same color because they are in equivalent ratios:

3 cups of white and 4 cups of blue: equivalent ratio = 0.75: 1 (75%) since 3/4 = 75%

6 cups of white and 8 cups of blue. equivalent ratio = 0.75: 1 (75%) since 6/8 = 75%

Other mixtures:

5 cups white 6 blue: equivalent ratio = 0.83: 1 (83%) since 5/6 = 83%

1 white 1 1/2 blue: equivalent ratio = 0.67: 1 (67%) since 1/1.5 = 67%

4 white 3 blue: equivalent ratio = 1: 75 (1.33%) since 4/3 = 1.33%

1.5 white 2 blue: equivalent ratio = 0.75: 1 (75%) since 1.5/2 = 75%

Therefore, the mixture with equivalent ratio as the initial mixtures is 1.5 while 2 blue.

Mathematics
Step-by-step answer
P Answered by PhD

Options A, C and D.

Step-by-step explanation:

It is given that, we need 1 tablespoon of butter for every 6 eggs to make a quiche.

Ratio that compares these two quantities =\dfrac{6\text{ eggs}}{1\text{ tablespoons} }

We need to find the ratios which are equivalent to this ratio.

\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{2}{2}=\dfrac{12\text{ eggs}}{2\text{ tablespoons} }

\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{3}{3}=\dfrac{18\text{ eggs}}{3\text{ tablespoons} }\neq \dfrac{15\text{ eggs}}{3\text{ tablespoons} }

\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{4}{4}=\dfrac{24\text{ eggs}}{4\text{ tablespoons} }

\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{1.5}{1.5}=\dfrac{9\text{ eggs}}{1.5\text{ tablespoons} }

Therefore, the correct options are A, C and D.

Mathematics
Step-by-step answer
P Answered by PhD

Options A, C and D.

Step-by-step explanation:

It is given that, we need 1 tablespoon of butter for every 6 eggs to make a quiche.

Ratio that compares these two quantities =\dfrac{6\text{ eggs}}{1\text{ tablespoons} }

We need to find the ratios which are equivalent to this ratio.

\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{2}{2}=\dfrac{12\text{ eggs}}{2\text{ tablespoons} }

\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{3}{3}=\dfrac{18\text{ eggs}}{3\text{ tablespoons} }\neq \dfrac{15\text{ eggs}}{3\text{ tablespoons} }

\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{4}{4}=\dfrac{24\text{ eggs}}{4\text{ tablespoons} }

\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{1.5}{1.5}=\dfrac{9\text{ eggs}}{1.5\text{ tablespoons} }

Therefore, the correct options are A, C and D.

Mathematics
Step-by-step answer
P Answered by PhD

a.3

Step-by-step explanation:

2:x  and 12:18

We need to get from 2 to 12  and 3 to 18

2* something = 12    x* something = 18

Divide by 2

something =12/2

something =6

                             x*6 = 18

                             x = 18/6

                                x=3

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