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denis23 [38]
3 years ago
7

Mario is constructing a frame for a 10 inch by 8 inch photo. He wants the frame to be the same width all the way around and the

total area of the frame and photo to be 120 square inches. What is the dimension of the frame?

Mathematics
1 answer:
Brums [2.3K]3 years ago
4 0

Answer:

The dimension of the frame are (10\ in)by(12\ in)

Step-by-step explanation:

Let

x-----> the width of the frame

we know that

(2x+8)(2x+10)=120 ----> equation that represent the situation

(2x+8)(2x+10)=120\\ \\4x^{2}+20x+16x+80=120\\ \\4x^{2}+36x-40=0

Using a graphing tool to solve the quadratic equation

The solution is x=1\ in

see the attached figure

therefore

The dimension of the frame are

(2(1)+8)*(2(1)+10)

(10\ in)*(12\ in)

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4 0
3 years ago
He difference of two numbers is 50. twice one number equals three times the other. find the numbers.
Juli2301 [7.4K]
X-y=50 and 2x=3y 
x=y+50 so 2(y+50) = 3y 

2y+100=3y
y=100

x-100=50
x=150

so our numbers are 150 and 100 

150-100=50 and 150 is 3*50 and 100 is 2*50 so fits all requirements!

hope this helps you! thank you!
6 0
3 years ago
What two nonnegative real numbers with a sum of 64 have the largest possible product?
Otrada [13]

The two non negative real numbers with a sum of 64 that have the largest possible​ product are; 32 and 32.

<h3>How do we solve the nonnegative real numbers?</h3>

Let the two numbers be x and y.

Thus, if their sum is 64, then we have;

x + y = 64

y = 64 - x

Their product will be;

P = xy

Putting (64 - x) for y in the product equation we have;

P = (64 - x)x

P = 64x - x²

Since the product is maximum, let us find the derivative;

P'(x) = 64 - 2x

At P'(x) = 0, we have;

64 - 2x = 0

2x = 64

x = 64/2

x = 32

Thus; y = 64 - 32

y = 32

Read more about nonnegative real numbers

brainly.com/question/9580755

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6 0
1 year ago
Right triangle PQR has sides of length 6 units, 8 units, and 10 units. The triangle is dilated by a scale factor of 4 about poin
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Answer:

Step-by-step explanation:

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4 0
3 years ago
*WILL MARK BRAINLIEST*
devlian [24]
A. multiply all the numbers together to find the possible outcomes

4 x 4 = 16

There are 16 different jacket-shirt outfits Ardell have.

They will not be the same color = 4 x 3

4 x 3 = 12

12/16 = 0.75, or a 75% chance they will not be the same color


hope this helps
6 0
3 years ago
Read 2 more answers
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