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1 year ago

How many quarts of water must be added to 2 gal of soup that is 50% chicken broth to make the soup 40% chicken broth?

1 answer:

7 0

Step-by-step explanation: Well we would know that the original soup is one gallon water and one gallon broth because that is 2 gallons 50% to 50%.

Then to decrease the amount of broth by 10%, we would accomplish this by first turning the original gallons into quarts so we would have 4 quarts broth and 4 quarts water. We need to get a total of ten quarts SO........ we know that we need to add 2 MORE quarts of WATER.

Finally when we add all the quarts together we get 10 total with 6 water and 4 broth which totals to 60% water and 40% broth.

FINAL ANSWER: 2 QUARTS WATER

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Joe receives an average of 780 emails in his personal account and 760 emails in his work account each month. After changing his

Semmy [17]

Answer:

702 emails

Step-by-step explanation:

<h2>This problem bothers on depreciation of value, in this context it is Joe's email that has depreciated by 10%.</h2>

Given data

Average personal emails received monthly = $780 emails$

Average work emails received monthly $= 760 emails$

We are required to solve for the new amount of emails Joe will be receiving after changing his address, to find this value we need to solve for the depreciation of his personal mails.

After solving for the depreciation , we then need to subtract the depreciation from the initial number of mails to get the new number of mails.

let us solve for 10% depreciation.

$depreciation= \frac{10}{100} *780\\depreciation=0.1*780= 78 emails$

The new number of mails

$= initial number of mail- depreciation\\ =780-78= 702 emails$

Joe will be receiving an average of 702 emails in his personal account monthly

7 0

1 year ago

Define a function f on a set of real numbers as follows: f(x) = 3x − 1 x , for each real number x ≠ 0 Prove that f is one-to-one

dalvyx [7]

Answer with Step-by-step explanation:

We are given that

$f(x)=\frac{3x-1}{x}$

For each real number $x\neq 0$

To prove that f is one -to-one.

Proof:Let $x_1$ and $x_2$ be any nonzero real numbers such that

$f(x_1)=f(x_2)$

By using the definition of f to rewrite the left hand side of this equation

$f(x_1)=\frac{3x_1-1}{x_1}$

Then, by using the definition of f to rewrite the right hand side of this equation of $f(x_1)=f(x_2)$

$f(x_2)=\frac{3x_2-1}{x_2}$

Equating the expression then we get

$\frac{3x_1-1}{x_1}=\frac{3x_2-1}{x_2}$

$3x_1x_2-x_2=3x_2x_1-x_1$

$3x_1x_2-3x_1x_2+x_1=x_2$

$x_1=x_2$

Therefore, f is one-to-one.

6 0

1 year ago

Two runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and

scoundrel [369]

Answer:

The correct answer is the last option, that is, $112 + 25m + 45 = 50 + 60m$

Step-by-step explanation:

We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be: $112+45+25m$

We have been given that the second runner has $50 in savings and will save $60 each month. Therefore, amount of money in the account of second running after m months will be: $50 + 60m$