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monitta
3 years ago
6

Please help me solve this. :)​

Mathematics
1 answer:
Aloiza [94]3 years ago
6 0

Answer:

40

Step-by-step explanation:

   Given problem:

            x² - y²

x+ y = 10

x - y = 4

Solution:

Using the concept of differences of two squares;

      x² - y² = (x + y)(x - y)

                 

So;

      x² - y²  = 10 x 4 = 40

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The total area of the quilt in meters is 4.465m^{2}
As you're looking for square feet, you've then got to multiply this by 10.764
4.465*10.764= 48.06086 square feet.
Rounded, this is 48.06 square feet.
Hope this helps :) 
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3 years ago
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harkovskaia [24]

Answer:

A=49 degrees

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2 years ago
Joni has two cats in the yard, Stephen and Graham. If both animals gained 20 pounds, Stephen would be 25% heavier than Graham. F
tresset_1 [31]

Answer:

Stephen weighs 80 lbs

Graham weighs 60 lbs

Step-by-step explanation:

Let Stephen the cat = S

Let Graham the cat = G

25% heavier = 125% = 125/100 = 1.25

50% heavier = 150% = 150/100 = 1.5

If both animals gained 20 lbs, S would be 25% heavier than G:

    S + 20 = 1.25(G + 20)  

⇒          S = 1.25(G + 20) - 20

⇒          S = 1.25G + 5

If both animals lost 20 lbs, S would be 50% heavier than G:

    S - 20 = 1.5(G - 20)  

⇒          S = 1.5(G - 20) + 20

⇒          S = 1.5G - 10

Equate both equations for S, and solve for G:

                 S = S

⇒ 1.25G + 5 = 1.5G - 10

⇒     -0.25G = -15

⇒              G = 60

Substitute found value for G into one of the equations for S and solve for S:

    S = 1.5G - 10  

⇒  S = 1.5 x 60 - 10

⇒  S = 90 - 10

⇒  S = 80

Stephen weighs 80 lbs

Graham weighs 60 lbs

6 0
3 years ago
A particular fruit's weights are normally distributed, with a mean of 738 grams and a standard deviation of 14 grams. The heavie
posledela

Answer:

We get that the heaviest of fruits weigh 766.84 grams.

Step-by-step explanation:

We know that a particular fruit's weights are normally distributed, with a mean of 738 grams and a standard deviation of 14 grams.

We have:

\mu=738\\\\\sigma=14

We calculate x:

P(X

We use the standard normal table and we get: Z=2.06.

So, we get

2.06=\frac{x-738}{14}\\\\x-738=28.84\\\\x=766.84

We get that the heaviest of fruits weigh 766.84 grams.

5 0
3 years ago
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