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kondor19780726 [428]
2 years ago
7

Which of the following is an equivalent representation of 2-3 ?

Mathematics
1 answer:
Tamiku [17]2 years ago
7 0

Answer:

2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.

Step-by-step explanation

Similarly, if we divide the numerator and denominator of 12/18 by 6 we get. 12/18 = 12÷6 / 18÷6 = 2/3. So 12/18 is an equivalent fraction of 2/3 as well.

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e-lub [12.9K]

Answer:


Step-by-step explanation:


6 0
3 years ago
How many ounces of a 15​% alcohol solution must be mixed with 4 ounces of a 20​% alcohol solution to make a 17​% alcohol​ soluti
sukhopar [10]

Answer:

6 ounces

Step-by-step explanation:

Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.

After converting the percentages to their decimal equivalents, set up the necessary equation as follows:

0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.

0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.

0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.

0.12 = 0.02x Finally, divide both sides by 0.02

x = 6

You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.

7 0
2 years ago
Read 2 more answers
Three groups of a number plus two.
Jet001 [13]
3x+2
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8 0
2 years ago
A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12%
Hitman42 [59]

Answer:

Amount of  vinegar. 100% : 20 milliliters

Amount of  Italian dressing: 140 milliliters

Step-by-step explanation:

Let's call A the amount of  vinegar. 100%

Let's call B the amount of  Italian dressing . 12% vinegar

The resulting mixture should have 23%  vinegar, and 160 milliliters.

Then we know that the total amount of mixture will be:

A + B = 160

Then the total amount of pure antifreeze in the mixture will be:

A + 0.12B = 0.23 * 160

A + 0.12B = 36.8

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:

-A -B = -160

-A -B = -160

               +

A + 0.12B = 36.8

--------------------------------------

-0.88B = -123.2

B = \frac{-123.2}{-0.88}

B = 140\ milliliters

We substitute the value of B into one of the two equations and solve for A.

A + 140 = 160

A = 20\ milliliters

7 0
3 years ago
Please help!! Due tomorrow!!
Marysya12 [62]

The number of doughnuts in bags is 4 times the number of bags of doughnuts. So the number in B bags of doughnuts will be

... 4B

The number of doughnuts in cartons is 10 times the number of cartons of doughnuts, so the number in C cartons will be

... 10C

The total number of doughnuts (T) is the sum of those in bags and those in cartons:

... T = 4B +10C

3 0
3 years ago
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