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Agata [3.3K]
3 years ago
10

The perimeter of the picture frame is 38 inches. The width of the frame is 7 inches, what is the length?

Mathematics
1 answer:
o-na [289]3 years ago
7 0

Answer:

12 inches

Step-by-step explanation:

So you know that the perimeter of a picture frame (a rectangle) is 2 widths plus 2 lengths.

Let x= lengths and w= widths

From the question we already know that w=7, so we can set up an equation that says:

2x + 2w = 38

2x + 2(7) = 38

2x+14 = 38

2x +14 -14 = 38-14

2x = 24

2x/2 = 24/2

x= 12

Since x= lengths =12

the length of the frame is 12 inches.

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Alice, Ben and Carol shared a sum of money they received. Alice received 1/5 of the money. The rest of the money was divided bet
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Answer:

$3

Step-by-step explanation:

The money shared by Ben and Carol was split ...

... Ben : Carol = 1 : 3

The difference of these ratio numbers is 2, and the difference in amount received is $6. Thus, each ratio unit must stand for $6/2 = $3.

... Ben received 1×$3 = $3

_____

<em>The Rest of the Story</em>

Carol received 3×$3 = $9. Together, Ben and Carol received $3 + 9 = $12, which is 4/5 of the total amount. Then the 1/5 of the total amount that Alice received is

... (1/5)×$12/(4/5) = (1/4)×$12 = $3.

The $15 of money was split ...

... Alice : Ben : Carol = $3 : $3 : $9

8 0
3 years ago
Simplify the following expression 7d-9-6d-4
kotykmax [81]

See picture for answer.

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3 years ago
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Can someone please help me in this question
Pie

Step-by-step explanation:

a) Let y = f(x) = 3x - 2x^2

f(-2) = 3(-2) - 2(-2)^2 = p

= -6 - 8

= -14

= p

f(2.5) = 3(2.5) - 2(2.5)^2 = q

= 7.5 - 12.5

= -5

= q

b) graphing

c) From the graph, you should be able to verify the following:

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ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2

iii) the maximum occurs at

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4 0
2 years ago
X +5+11x=12x+Y It says find the value of y that makes each equation true for all values of
sladkih [1.3K]
X + 5 + 11x = 12x + y

Simplify: 12x + 5 = 12x + y (We are adding x and 11x on the left side)

Subtract 12x from each side makes each zero.

5 = y

So we can plug in and test. I'm picking two random numbers to plug in for x. 10, and 82

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So we verified y = 5
3 0
3 years ago
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