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morpeh [17]
3 years ago
9

Samantha has 14 yards of ribbon. She wraps 12 presents and uses 5/6 yards of ribbon to decorate each present. The total amount o

f the ribbon she used is modeled in rhe diagram below. How much ribbon does samantha have left
Mathematics
1 answer:
Lesechka [4]3 years ago
3 0
Samantha will have approximately 2.3-2.4 yards of ribbon left.
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I need help on #4 ASAP!!!!
kodGreya [7K]
Hi there. 

A triangle's interior angles must always add up to 180 degrees. Since we already have one measurement, 56, we can set up an equation to solve for the missing angles.

(2x + 4) + 56 + x= 180; solve for x.
Subtract 56 from both sides.
(2x + 4) + x = 124;
Combine like-terms (x).
3x + 4 = 124;
Subtract 4 from both sides.
3x = 120
Divide both sides by 3 to solve for x.
x = 40.

Now, we need to substitute x with 40 in each of our angles to determine their measurements.
2x + 4; x = 40.
2(40) + 4 = 80 + 4 = 84; 
One measurement is 84 degrees.

x = 40 is another measurement on its own.

Our measurements are:
56, 84, and 40.

Your corresponding answer choice is H.) 56, 84, 40.

I hope this helps!
7 0
3 years ago
10-kg bag of cherries for $8<br><br> ___ per kg
Sophie [7]
$8.00/10 kg equals $0.80/kg
7 0
3 years ago
What is the solution to the equation?
Oxana [17]

ANSWER

(C) d=1

EXPLANATION

The given equation is

\frac{ - 3d}{ {d}^{2} - 2d - 8} +  \frac{3}{d - 4}  =  \frac{ - 2}{d + 2}

Factor the first fraction to get,

\frac{ - 3d}{(d + 2)(d - 4)} +  \frac{3}{d - 4}  =  \frac{ - 2}{d + 2}

Multiply through by (d+2)(d-4)

- 3d + 3(d + 2) =  - 2(d - 4)

Expand:

- 3d + 3d + 6 =  - 2d + 8

6 =  - 2d + 8

6  - 8=  - 2d

- 2 =  - 2d

divide both sides by -2

d = 1

7 0
3 years ago
Read 2 more answers
A and B can fill a cistern in 4 hours. A and C can fill
kirill [66]

Answer:

20 hours

Step-by-step explanation:

We can work easier if we think in terms of an hour

the first equation that we can write is

A + B = 1/4 (its meaning is that in an hour A and B fill 1/4 of the cistern)

the second equation we can write is

A + C = 1/5 (its meaning is that in an hour A and C fill 1/5 of the cistern)

the third equation that we can write is

B = 2C  (its meaning is that in an hour B fill 2 times C the cistern)

now we can substitute the value of B in the first two equations

A + 2C = 1/4

A + C = 1/5

A = 1/5 - C

1/5 - C + 2C = 1/4

C = 1/4 -1/5

C = (5-4)/20

C = 1/20 (this means that in an hour C will fill 1/20 of the cistern, so it takes 20 hours to fill the entire cistern)

A = 1/5 - 1/20

A = (4-1)/20 = 3/20

B = 1/20 *2 = 1/10

4 0
3 years ago
Evaluate the following expression.<br> 1/5^-2
Romashka [77]
This is how the whole equation goes:
1/x^-a = x^a
So, 1/5^-2 is the same as 5^2, which is 25. 
8 0
3 years ago
Read 2 more answers
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