grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation can he use to find n, the number of gallons of water he should remove?

Answers

Answer 1
Answer: The equation to get the number of gallons of water he should evaporate
= 22 - (22 x 0.16)/0.24

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What other information do you need to prove triangle GHK is congruent to triangle KLG by SAS

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Johnathan ran 5 days this week. The most he ran in one day was 3.5 miles. Write an inequality that shows the distance johnathan could of ran any day this week

Answers

An inequality that shows the distance Johnathan could of ran any day this week is:

x\leq 3.5

Solution:

Let "x" be the distance Johnathan can run any day of this week

Given that,

Johnathan ran 5 days this week. The most he ran in one day was 3.5 miles

Therefore,

Number of days ran = 5

The most he ran in 1 day = 3.5 miles

Thus, the maximum distance he ran in a week is given as:

distance = 5 * 3.5 = 17.5

The maximum distance he ran in a week is 17.5 miles

If we let x be the distance he can run any day of this week then, we get a inequality as:

x\leq 3.5

If we let y be the total distance he can travel in a week then, we may express it as,

y\leq 17.5

tonya works part time in a store at the mall. She is paid about$200 per week before takes and social security. Tonya pays about $40 out of each weekly checks for taxes and social security total. What percent of the $200 weekly pay is Tonya paying for taxes and social security

Answers

Hey there,

200-40=160 
so 200-20%=160 

so the answer is he takes out 20% per week!

Hope this helped

Mary has 18 coins with a total value of $2.85. If the coins are dimes and quarters,how many of each type of coins does Mary have

Answers

x-dimes\ny-quarters\n\n \left\{\begin{array}{ccc}x+y=18\n0,1x+0.25y=2.85&/\cdot(-10)\end{array}\right\n+\left\{\begin{array}{ccc}x+y=18\n-x-2.5y=-28.5\end{array}\right\n------------\n.\ \ \ \ \ \ -1.5y=-10.5\ \ \ \ /:(-1.5)\n.\ \ \ \ \ \ \ \ \ \ \ \ \ y=7\n\nx+7=18\nx=18-7\nx=11\n\nAnswer:11\ dimes\ and\ 7\ quarters
Let's say x represents the number of dimes and y represents the number of quarters. 

Note: A dime is worth 10 cents and a quarter is worth 25 cents. Therefore, their coefficients would be 0.1 and 0.25 (you must divide them by 100, since 1 dollar = 100 cents). 

Now you can set up a system of equations and solve by substitution.

x + y = 18
0.1x + 0.25y = 2.85

In order to substitute, you have to solve for one of the variables in terms of the other. This will be easiest to do with the first equation.

x + y = 18
y = 18 - x

Now, substitute in that value of y into the second equation.

0.1x + 0.25(18 - x) = 2.85

Now, you can solve for x.

0.1x + 4.5 - 0.25x = 2.85
- 0.15x = -1.65
x = 11

You have 11 dimes.

Now you can substitute that value into your original first equation.

(11) + y = 18
y = 7

You have 7 quarters.

Answer: 11 dimes and 7 quarters

What is 40/3 as a mixed number?

Answers

The fractional-number "40/3" can be expressed as "13(1)/(3)" in the "mixed-number" form.

To write the fraction "40/3" as "mixed-number" representation, we first  determine the "fractional-part" and the "whole-number" part.

Dividing 40 by 3, we find that it is not evenly divisible. The quotient is 13, and the remainder is 1.

The whole number part is 13, indicating that there are 13 whole units. The fractional part is 1 out of 3, representing one-third of another unit.

Combining these, we can express 40/3 as the mixed number 13 1/3. It signifies 13 whole units and a fractional part of 1/3, indicating a value greater than 13 but less than 14.

Therefore, the required mixed-number is 13(1)/(3).

Learn more about Mixed Number here

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You would see how many times 3 goes into 40 then put the extra over 3. 13 1/3

18 • 3 32 pls I will thank you it’s worth 10 points

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