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algol13
3 years ago
11

A store sells tiles in the shape of a parallelogram. The perimeter of each tile is 37 inches. One side of each tile is 2.5 inche

s longer than another side. What are the side lengths of the tile? The side lengths of the tile are ___Inches and ___ Inches.
Mathematics
1 answer:
makkiz [27]3 years ago
5 0

Answer:

The side lengths of the tile are 8 Inches and 10.5 Inches.

Step-by-step explanation:

Perimeter of a parallelogram = 2(a + b)

Let

a = shorter side

b = longer side

b = a + 2.5 inches

The perimeter of each tile is 37 inches

Perimeter of a parallelogram = 2(a + b)

37 = 2{a + (a + 2.5)}

37 = 2{a + a + 2.5}

37 = 2(2a + 2.5)

37 = 4a + 5

37 - 5 = 4a

32 = 4a

Divide both sides by 4

a = 32/4

= 8

a = 8 inches

b = a + 2.5 inches

= 8 + 2.5

= 10.5 inches

b = 10.5 inches

The side lengths of the tile are 8 Inches and 10.5 Inches.

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Answer:

first y then x because y represents 22 and x represents 4 a week.

8 0
3 years ago
Suppose you are driving to visit a friend in another state. you are driving 55 miles per hour. you must drive 440 miles total. i
Oliga [24]
Time=(distance)/(speed)
speed=55 mi/hr
Total distance=440 miles
Distance covered=275 miles
remaining distance=440-275=165 miles
Time taken to cover the remaining distance will be:
time=165/55=3 hours

Total time taken to travel=440/55=8 hours
if we are to use the equation given by:
55h+275=440
time taken will be found by solving for h, thus we shall have:
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7 0
3 years ago
If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?
Vinil7 [7]

Answer:

The expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

Step-by-step explanation:

We are given:

f(x)= 5x-25\\g(x)=\frac{1}{5}x+5

We need to find the expression that could be used to verify g(x) is the inverse of f(x).

We know that g(f(x))=x is inverse of function

So placing value of f(x) in g(x)

g(f(x))=\frac{1}{5}(5x-25)+5

So, the expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

We can also solve to prove that g(f(x))=x

g(f(x))=\frac{1}{5}(5x-25)+5\\g(f(x))=\frac{5}{5}(x-5)+5\\g(f(x))=x-5+5\\g(f(x))=x

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3 years ago
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anastassius [24]

To solve, isolate the x. Cross multiply

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3(5) = (13)x

Simplify

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Isolate the x. Divide by 13.

13x/13 = 15/13

x = 15/13

x = 1.2

1.2 is your answer

hope this helps

8 0
3 years ago
A recipe says to use 2 cups of chocolate chips to make 36 cookies. What is the constant of proportionality that relates the numb
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Answer:

1 cup of chocolate chips equals 18 cookies and 2 cups equals 36 and 3 cups equals 54

Step-by-step explanation:

3 0
3 years ago
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