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MrRissso [65]
3 years ago
10

Sophina bought 3 yards of trim to put around a rectangular scarf. She wants the width of the scarf to be a whole number that is

at least 6 inches and at most 12 inches. If she uses all the trim, what are the possibles dimensions of her scarf? Write your answer in inches.
Mathematics
2 answers:
emmasim [6.3K]3 years ago
8 0
1 yard = 36 inches
3 yards = 36 x 3 = 108 inches

When width = 6, 
Length = [108 - 2(6) ] ÷ 2 = 48

When width = 7, 
Length = [108 - 2(7) ] ÷ 2 = 47

When width = 8,
Length = [108 - 2(8) ] ÷ 2 = 46

When width - 9, 
Length = [108 = 2(9) ] ÷ 2 = 45

When width - 10 
Length = [108 = 2(10) ] ÷ 2 = 44

When width - 11, 
Length = [108 = 2(11) ] ÷ 2 = 43

When width - 12, 
Length = [108 = 2(12) ] ÷ 2 = 42

-------------------------------------------------------------------------------------------------
Answer: The possible dimensions are (a) 6 by 48, (b) 7 by 47 ,(c) 8 by 46,  (d)9 by 45, (e) 10 by 44, (f) 11 by 43 and (g) 12 by 42.
-------------------------------------------------------------------------------------------------
Rudiy273 years ago
6 0
3 yards = 36*3 = 108 inches
-> total of width and length = 108/2 = 54 inches, because perimeter = 2*total of length and width.

=> length + width = 54 inches
and 6 ≤ width <span>≤ 12
=> all possible dimensions are:
6x48
7x47
8x46
9x45
10x44
11x43
12x42</span>
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She spent 1/4 of her money on a shirt and 2/5 on shoes. What fraction of money has been spent
likoan [24]
1/4 = 5/20
2/5 = 8/20

8/20 + 5/20 = 13/20 has been spent
4 0
3 years ago
Joseph is making kebabs. He wants each kebab to have 333 pieces of meat and 444 pieces of vegetables.
-Dominant- [34]

Answer:

The answers are C), D), and E) because these three answers satisfy the conditions above.

Step-by-step explanation:

Joseph could use C), D), and E) to make kebabs without any leftovers:

C) 30 pieces of meat and 40 pieces of vegetables

D) 45 pieces of meat and 60 pieces of vegetables

E) 72 pieces of meat and 96 pieces of vegetables

3 0
3 years ago
(c) The original function y= A(n) converted an input, the circle's radius, to an output, the circle's area.
timama [110]

Two functions f(x) and g(x) are inverses if and only if is true that each function evaluated in the other is equivalent to the identity.

This means that:

f( g(x)) = g( f(x)) = x

With this we can see that:

Input = area

Output = radius.

-------------------------------------

Let's see how we concluded that.

First, we know that the function:

y = A(n) converts an input, the radius of a circle into an output, the circle's area.

Let's assume that G(x) is the inverse function, and "n" is the variable that represents the radius.

By the definition of inverse functions we must have that:

G( A(n)) = n

and n is a radius, so the <u>output of the inverse function is the radius of a circle.</u>

And <u>A(n) is the</u><u> area </u><u>of that circle,</u> then the <u>input for the inverse function is the area.</u>

<u />

Finally, we can conclude that:

Input: Area

Output: Radius.

If you want to learn more, you can read:

brainly.com/question/2541698

3 0
2 years ago
Attorney A charges a fixed fee on $250 for an initial meeting and $150 per hour for all hours worked after that. Write an equati
Anettt [7]

let h be the number of hours then

A → C = 150h + 250 ( where C is charge )

B → C = 175h + 150

for 26 hours

A → C = (150 × 26 ) + 250 = 3900 + 250 = $4150

B → C = (175 × 26 ) + 150 = 4550 + 150 = $4700

Attorney A is cheaper for 26 hours, thus better deal

Equate the 2 equations to find hours they charge the same

175h + 150 = 150h + 250 ( subtract 150h from both sides )

25h + 150 = 250 ( subtract 150 from both sides )

25h = 100 ( divide both sides by 25 )

h = 4 ← number of hours when charges for both are equal

Thus Attorney A becomes a better deal at 5 hours


3 0
3 years ago
What is the slope of the line passing through (2,9) and (2,-14)
Brilliant_brown [7]

Answer:

The slope is undefined

Step-by-step explanation:

When graphed, the two points form a vertical line, since we can't divide the slope by zero thw slope is considered as undefined

6 0
3 years ago
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