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True [87]
3 years ago
5

A portrait has dimensions of 50 inches by 60 inches and is surrounded by a frame of uniform width. If the total area (portrait p

lus frame) is 3456 square inches, find the width of the frame

Mathematics
1 answer:
jenyasd209 [6]3 years ago
7 0

Answer:

  2 inches

Step-by-step explanation:

If x is the width of the frame, then the overall dimensions are ...

  (50 +2x) by (60 +2x)

so the area is ...

  3456 = (50 +2x)(60+2x)

  x^2 +55x -114 = 0 . . . . . . . divide by 4, subtract the left side

  (x +57)(x -2) = 0 . . . . . . . . . factor

Solutions to this are x=2 and x=57 (extraneous).

The width of the frame is 2 inches.

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1/2 * 1/2 *1/2 = 1/8
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Mr. West is standing on a cliff that is 25 1/5meters above the surface of the ocean. He spots a dolphin that is 2 3/5 meters und
zhenek [66]

Answer:

Total distance from Mr. West to dolphin =27\frac{4}{5}\ meters

Step-by-step explanation:

Height of cliff on which Mr. West is standing above the surface of ocean =25 \frac{1}{5} \ meters

Mr. West spot the dolphin under the water at a depth of =  2\frac{3}{5} \ meters

∴ Total distance from Mr. West to dolphin=(25 \frac{1}{5}+2\frac{3}{5})\ meters

Adding mixed numbers

(25 \frac{1}{5}+2\frac{3}{5})

Adding whole numbers first.

=25+2+\frac{1}{5}+\frac{3}{5}\\=27+\frac{1}{5}+\frac{3}{5}

Adding fractions by taking LCD.

=27+\frac{1+3}{5}\\=27+\frac{4}{5}\\=27\frac{4}{5}\ meters

5 0
3 years ago
F(X)=X^3 + 4 X^2-10=0 (between X=1 , X=2) بطريقه ال Bisection method<br><br>please fast​
svetlana [45]

I hope it's helpful for u but I am not sure my answer is right !

6 0
2 years ago
Find the value of each.<br><br> 4 boxes of pasta at $1.25 each
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Answer:

The total of all the boxes would be $5.00.

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2 years ago
Read 2 more answers
Victoria wants to purchase a skateboard. She has $125 to spend. She finds one that regularly sells for $139.99 and is on sale fo
Pavel [41]

Well, to see if she can afford the skateboard, start by finding the discount and then finding the sales tax of that.

To find the discount, first find 15% of $139.99 and then subtract it since that's how much you're getting off.

<em>Remember: </em><em>to find percentage, convert the percentage into a decimal by dividing it by 100, and then multiplying it by what you're finding a percentage of. </em>

15% ÷ 100 = 0.15

$139.99 x 0.15 = 20.9985, which can be rounded up to $21.

$139.99 - 21 = 118.99.

Now that we have the discount, we find the sales tax, which can be found the same way as the discount, but we add it to the total instead fo subtracting it.

7% ÷  100 = 0.07

0.07 x 118.99 8.3293 or  $8.33

118.99 + 8.33 = 127.32

<em>This is the final total of how much the skateboard would cost.</em>

So:

No, she would not have enough money to buy the skateboard. With the discount alone, she could afford it, since $118 falls in her budget range, but with the added tax, it's 13 dollars over and she cannot afford the skateboard.

5 0
2 years ago
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