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Radda [10]
3 years ago
15

What is 7 and 1/4% of 89.75?

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0
6.506875 is the answer because 7.25% out of 100 is .0725 and 89.75 times that is 6.506875
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Two pentagons are similar. the area of one of the Pentagon is 9 times that the other. determine the ratio of the length of the c
kolbaska11 [484]
<h2><u><em>Answer:</em></u></h2><h2><u><em></em></u></h2><h2><u><em>The ratios of the lengths of the corresponding  sides of the two pentagons is 3:1</em></u></h2><h2><u><em></em></u></h2><h2><u><em>The ratios of the perimeters of the two pentagons is 3:1</em></u></h2><h2><u><em></em></u></h2><h2><u><em>Step-by-step explanation:</em></u></h2><h2><u><em></em></u></h2><h2><u><em>Let the first pentagon be X and the second pentagon be Y.</em></u></h2><h2><u><em></em></u></h2><h2><u><em>Ratio of area of the two pentagons is </em></u></h2><h2><u><em>9</em></u></h2><h2><u><em>Ratio of sides of the pentagon is equal to</em></u></h2><h2><u><em></em></u></h2><h2><u><em>3</em></u></h2><h2><u><em></em></u></h2><h2><u><em>Ratio of perimeters is equal to ration of sides</em></u></h2><h2><u><em></em></u></h2><h2><u><em>Hence,</em></u></h2><h2><u><em>The ratio of the perimeter is 3 as well</em></u></h2>

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<em></em>

7 0
2 years ago
A student bought 3 boxes of pencils and 2 boxes of pens for $6. He then bought 2 boxes of pencils and 4 boxes of pens for $8. Fi
Annette [7]
Let c and n represent the numbers of pencil and pen boxes, respectively
.. 3c +2n = 6.00
.. 2c +4n = 8.00

You can halve the second equation and subtract it from the first to get
.. (3c +2n) -(c +2n) = 6.00 -4.00
.. 2c = 2.00
.. c = 1.00

Then
.. 1.00 +2n = 4.00 . . . . . half the original second equation with c filled n
.. 2n = 3.00
.. n = 1.50

A box of pencils costs $1.00; a box of pens costs $1.50.
8 0
3 years ago
Read 2 more answers
Kate and Melisa both went to the same store to buy eggs and bread for their families. Kate bought 3 cartons of eggs and 5 loaves
VMariaS [17]
Write an equation system based on the problem
For an instance, e stands for the price of a carton of eggs, and b stands for the price of a loaf of bread

"Kate bought 3 cartons of eggs and 5 loaves of bread for $30.07" could be written as 3e + 5b = 30.07 (first equation)
"Melissa bought 2 cartons of eggs and 2 loaves of bread for $14.74" could be written as 2e + 2b = 14.74 (second equation)

Solve the equation system using elimination method
Eliminate b to find e. To eliminate b, we should equalize the coefficient of b.
3e + 5b = 30.07 (multiplied by 2)
2e + 2b = 14.74 (multiplied by 5)
-------------------------------------------
  6e + 10b = 60.14
10e + 10b = 73.70
------------------------- - (substract)
-4e            = -13.56
   e            = -13.56/-4
   e            = 3.39

The price for a carton of eggs is $3.39
8 0
3 years ago
One urn contains one blue ball (labeled b1) and three red balls (labeled r1, r2, and r3). a second urn contains two red balls (r
Flura [38]

Answer:

12 possibilities

Step-by-step explanation:

In the first urn, we have 4 balls, and all of them are different, as they have different labels, so the group of two red balls r1 and r2 is different from the group of red balls r2 and r3.

The same thing occurs in the second urn, as all balls have different labels.

The problem is a combination problem (the group r1 and r2 is the same group r2 and r1).

For the first urn, we have a combination of 4 choose 2:

C(4,2) = 4!/2!*2! = 4*3*2/2*2 = 2*3 = 6 possibilities

For the second urn, we also have a combination of 4 choose 2, so 6 possibilities.

In total we have 6 + 6 = 12 possibilities.

3 0
3 years ago
Read 2 more answers
What expression could be a calculators display of the number 0.0000000000096?
Vaselesa [24]
9.6x_12................
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6 0
3 years ago
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