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Fantom [35]
3 years ago
13

Lana’s gross pay is $3776. Her deductions total $1020.33. What percent of her gross pay is take-home pay? 73% 50% 27% 25%

Mathematics
2 answers:
ollegr [7]3 years ago
7 0

Answer:

73% of her gross pay is take-home pay.

Step-by-step explanation:

Subtract the deductions from the gross pay.  Divide this amount by the gross pay and multiply by 100.

valentina_108 [34]3 years ago
6 0

Answer:

The correct answer is option A, 73%

Step-by-step explanation:

Gross pay of Lana = $3776

Total deductions on Lana’s pay = $1020.33

Net pay of Lana after deduction = $3776 - $1020.33

= $ 2755.67

Her take home salary = Net pay after deduction

=  $ 2755.67

Take home salary as percentage of gross pay =  ($ 2755.67/$3776) x 100

= 72.97 %

= 73 %

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Mr. Con makes punch by mixing 10.6 L of apple juice 0.6 L of oranges and 8 L of Ginger ale. He pours the mixture equally into 6
sattari [20]

Answer:

3.2

Step-by-step explanation:

For this we need to get the entire volume of the mixture. We get it by summing each quantities:

Vol = 10.6 + 0.6 + 8 = 19.2 L

So, we have 19.2 L for 6 bowls.

For getting the punch of each bowl we just need to divide this volume between the 6 bowls:

19.2 / 6 = 3.2 L

So, each bowl has 3.2 L

3 0
3 years ago
Using the digits 1 to 9 at most one time each, fill in the boxes to find the largest (or smallest) possible values for x.
Mice21 [21]

Answer:

smallest: 8x -3 = 4; 1y +9 = 2. total = -49/8

 largest: 1x -9 = 8; 2y +3 = 7. total = 19

Step-by-step explanation:

If we use variables to represent the box contents, we can write ...

ax -b = c

dy +e = f

Then the values of x and y are ...

 x = (c +b)/a

 y = (f -e)/d

For positive integer values of the variables, x will always be positive, and y may or may not be negative.

Smallest sum

For the sum to be the smallest, we must have x be as small as possible and the ratio (f-e)/d be as negative as possible.

x will be small for large 'a' and for (c+b) small. For y to be as negative as possible, we want 'd' and 'f' small and 'e' large. Best results are obtained for

8x -3 = 4   ⇒   x = 7/8

1y +9 = 2   ⇒   y = -7

For these coefficients, the sum is -6 1/8 = -49/8.

(note that the values of 'b' and 'c' can be swapped with no net effect)

Largest sum

For the sum to be the largest, we must have x as large as possible: (b+c) large and 'a' small. At the same time we must have y be positive and as large as possible: (f-e) positive and large, 'd' small. Best results are obtained for

1x -9 = 8  ⇒   x = 17

2y +3 = 7   ⇒   y = 2

For these coefficients, the sum is 19. Again, 'b' and 'c' can be swapped with no effect.

_____

Additional comment

These extreme values are verified by examination of the 60,480 possible permutations of the coefficients.

8 0
3 years ago
Terri's teacher gives her the equation 3(5)^x=127-2x, and tells her that she will not know how to solve it algebraically. Explai
kirza4 [7]
f(x)=3\cdot5^x\ \ \ and\ \ \ g(x)=127-2x\\\\f(x)=g(x)\ \ \ \Leftrightarrow\ \ \ x\approx2.3043\\\\the\ graph\ in\ annex

8 0
2 years ago
What is the answer to <br> 8(x-3)+7=2x(4-17)
nadezda [96]

Answer:

x=1/2

Step-by-step explanation:

First you distribute the 8 over the (x-3) giving you 8x-24. Do the same for 2x and (4-17). That should give you 8x-34x.

Your equation should look like : 8x-24+7=8x-34x

Next try to balance out your equation. You want your x's all by themselves in order to solve.

The 8x's cancel eachother out so you have -24+7= -34x.

Add the like terms of -24 and 7 to get -17.

Equation: -17= -34x

Divide both sides by -34 to get x by itself.

-17/-34 = x

Reduce by dividing the numerator and denominator by 17 to get -1/-2

Since they are both negative the fraction turns positive.

So the answer should be x=1/2

5 0
3 years ago
How do I find the equation for the line?
GrogVix [38]

Answer:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

7 0
3 years ago
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