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vazorg [7]
3 years ago
6

5^-2x times 5^x+2 = 5^-2x

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
3 0
5^{-2x}\cdot5^{x+2}=5^{-2x}\\
5^{x+2}=1\\
x+2=0\\
x=-2

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If 120% is £48, what is 100%
azamat

Answer:

40

Step-by-step explanation:

If we go by 20's (20% of 100) 100% is 5. Since were dealing with 120% in our case we'll be dividing by 6 <u>to figure out what every 20% is</u>. All we need to do it's divide 48 by 6 and we get the answer 8. So in our case every 20% is equal to 8. now to solve for 100% all we need to do is subtract 8 (20%) from 120% (48) and we find 100% is 40. We could also do 8 x 5. (<em>remember every 1 is 20% in our case</em>) which is also 40. Therefore, your answer is 40.

If you don't quite understand what I'm talking about please let me know and I'll elaborate.. thanks! have a nice day and good luck with your quiz!

6 0
3 years ago
A rectangles tabletop has a length of 4 3/4 feet and a area of 11 7/8 square feet what is the width of the tabletop
Natalija [7]
Area is length times width. Therefore, width is area divided by length. Convert 11 7/8 to the improper fraction 95/8 and convert 4 3/4 to 19/4. Then, you can fine 95/8 divided by 19/4 by flipping the second fraction and multiplying so that you have 95/8 times 4/19. 4 times 95 is 380 and 8 times 19 is 152. Therefore, the answer is 380/152. This is equivalent to 5/2 or 2.5. 
3 0
3 years ago
Pen are shipped to the office supply store in boxes of 12 each. Write a function rule to calculate the total number of pens when
Tom [10]

p = 12x is the  function rule to calculate the total number of pens when you know the number of boxes

<em><u>Solution:</u></em>

Given that,

Pen are shipped to the office supply store in boxes of 12 each

To find: Write a function rule to calculate the total number of pens when you know the number of boxes

Let "p" be the total number of pens

Let "x" be the number of boxes

Number of pens in each box = 12

Then from given information,

Total number of pens = Number of boxes multiplied by number of pens in each box

p = x \times 12\\\\p = 12x

Thus the function rule is found

6 0
3 years ago
At the lying lemon used car company each salesperson makes $5.75 per hour and receives 6 1/2% commission on sales what would a s
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Answer:

Step-by-step explanation:

At the lying lemon used car company each salesperson makes $5.75 per hour and receives 6 1/2% commission on sales. Converting

6 1/2% to decimal, it becomes 6.5%

If a Salesperson worked for 8 hours, the amount that he would earn would be

8 × 5.75 = $46

If the salesperson sold a car for $9290, his commission would be

6.5/100 × 9290 = 0.065 × 9290 = $603.85

Total amount that the sales person would earn is

46+ 603.85 = $649.85

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Answer:

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