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3 years ago

Solve each equation for the bold variable

Mathematics

1 answer:

Phantasy [73]3 years ago

4 0

Answer:

y = 3 - 2x

Step-by-step explanation:

The goal is to isolate the y variable

In order to have y by itself (on one side of the equation or equal sign), we must move the other numbers and variables to the other side.

Since 2x is on the same side as y, we have to subtract it from both sides. Subtracting it cancels out the original 2x and leaves the equation to look like this:

y = 3 - 2x

Now the y is isolated

Another example:

-5x + y = 15

To isolate the y, we must cancel out the -5x. Add 5x to both sides. It will cancel out the -5x and bring it to the right side of the equation, resulting in:

y = 15 + 5x

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Heather and her family are going to the grand opening of a new amusement park. There is a special price on tickets this weekend.

Likurg_2 [28]

56 + 16.80 = 72.80!!!!!!!!!!!!!

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3 years ago

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A medication states that the odds of having an allergic reaction are 1 in 50. What is that probability states as a percent?

Fittoniya [83]

<h2>Answer:</h2>

<u><em>As a percent, the odds of having an allergic reaction would be 2%.</em></u>

This is because 1 in 50 of a chance, is equal to 1/50, and to make this a percent out of 100, just multiply both parts of the fraction by 2.

None of the choices equal 1/50, so let's just make it a percentage anyway.

1/50 ---> 0.02

0.02 ---> 2%

<em>The answer is 2%, or 1/50 as a fraction.</em>

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4 years ago

What 5/8x + 1/2 (1/4x + 10)?

dedylja [7]

5+3x/4

5x+1/2(1/4+10). Distributive property
5x+x/8+5. Combine like terms
5+3x/4

7 0

3 years ago

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there are 30 flowers in a vase 2.5 of flowers are roses. 1/6 of the flowers are daisies. the rest of the flowers are carnations.

tekilochka [14]

Answer:

13 carnations

Step-by-step explanation:

Assuming you meant 2/5 because 2.5 would mean there are more roses in the vase than there are flowers in the vase, heres how to solve this.

Understanding

Each fraction is referring to "flowers" not "remaining flowers" and as such each time we will be comparing to the total.

2/5 of the total flowers are roses. This is written in words as for every 5 flowers two are roses, which means we will multiply 2 by how many sets of five we have in 30 flowers.

(30/5) x 2 =

(6) x 2 = 12 roses

Though with fractions its written as 30/1*2/5 which is the same as (30 x 2)/5

60/5 = 12 roses

Following this logic for every 6 flowers one is a daisy.

30/1 * 1/6 = (30 x 1)/6 = 30/6 = 5 daisies

Because the rest are carnations we want to subtract the amount of daisies and roses from the total amount of flowers to find the remaining flowers.

30 - 5 - 12 = 13 carnations

Hope this helps,

8 0

3 years ago

Which of the following are the subset of ,B={1,2,3,4,5,6,7,8,9,10}.

Verdich [7]

Answer:

A, C, T

Step-by-step explanation:

A subset simply means a set of which all of its elements are contained in a larger set :

To obtain the subsets of B={1,2,3,4,5,6,7,8,9,10}.

We observe the smaller sets whose entire elements can be found in B

D={0,2,4,6,8,10,12} = not a subset of B ; B does not contain 0

A={5,6,7} = subset of B, all elements Cann be found in B

C={2} = subsets of B, 2 can be found in B

T={1,2,3,4,5,...,8} = subset of B; all elements can be found in B

4 0

3 years ago

Solve each equation for the bold variable​

Solve each equation for the bold variable