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Marat540 [252]
4 years ago
10

Estimating in word problems with fractions. Rosa needs 5 1/4 of ribbon for a crafts project. She already has 2 7/8 of ribbon. Ho

w many more yards of ribbon does she need to buy?
Mathematics
1 answer:
Dahasolnce [82]4 years ago
6 0

Answer:

Rosa requires 2\frac{3}{8}\text{ yards} of ribbon to complete the project.

Step-by-step explanation:

We are given the following in the question:

Length of ribbon required for project =

5\dfrac{1}{4}\text{ yards}

Length of ribbon Rosa have =

2\dfrac{7}{8}\text{ yards}

Amount of ribbon required for the project =

Length of ribbon required for project - Length of ribbon Rosa have

=5\dfrac{1}{4}-2\dfrac{7}{8}\\\\=\dfrac{21}{4}-\dfrac{23}{8}\\\\=\dfrac{42-23}{8}\\\\=\dfrac{19}{8}\\\\=2\dfrac{3}{8}\text{ yards}

Thus, Rosa requires 2\frac{3}{8}\text{ yards} of ribbon to complete the project.

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Eliminate the x and y
sp2606 [1]

Step-by-step explanation:

Eliminate the x:

\left\{\begin{array}{ccc}x-2y=6\\3x+y=4\end{array}\right\\\\\text{Multiply by (-3)}\\\\\left\{\begin{array}{ccc}-3(x-2y)=(-3)(6)\\3x+y=4\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-3x+6y=-18\\3x+y=4\end{array}\right}\\.\qquad\qquad7y=-14\\.\qquad\qquad y=-2

Eliminate the y:

\left\{\begin{array}{ccc}x-2y=6\\3x+y=4\end{array}\right\\\\\text{Multiply by 2}\\\\\left\{\begin{array}{ccc}x-2y=6\\2(3x+y)=(2)(4)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}x-2y=6\\6x+2y=8\end{array}\right}\\\\.\qquad7x=14\\.\qquad x=2

7 0
3 years ago
I need working out and answers for the following:
LenaWriter [7]
A. 4x - 3 = 2x + 7
4x - 2x = 7 + 3
2x = 10
x = 5

B. 2x + 6 = 7x - 14
2x - 7x = - 14 - 6
-5x = -20
x = 4

C. 2( x + 3) = x - 4
2x + 6 = x - 4
2x - x = -4 - 6
x = -10

D.4 ( 5x - 2) = 2( 9x + 3)
20x - 8 = 18x + 6
20x - 18x = 6 + 8
2x = 14
x = 7

E.4x - 1/2 = x - 7
4x - x = -7 + 1/2
3x = (-14 + 1)/2
3x = -13/2
x = -13/6

F. 3x + 2 = 2x + 13/3
3x - 2x = 13/3 - 2
x = (13 - 6)/3
x = 7/3


Hope This Helps You!
4 0
3 years ago
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Aleksandr-060686 [28]
|5-9| = 4

|5| - |9| = -4
4 0
4 years ago
Read 2 more answers
I need help) (only the answer) *links and wrong answers will be reorted*
scZoUnD [109]

Answer:

Volume of cuboid = 300 in³

Surface area of cuboid = 280 in²

Step-by-step explanation:

Given:

Length = 10 in

Width = 5 in

Height = 6 in

Find:

Volume of cuboid

Surface area of cuboid

Computation:

Volume of cuboid = [L][B][H]

Volume of cuboid = [10][5][6]

Volume of cuboid = 300 in³

Surface area of cuboid = 2[lb][bh][hl]

Surface area of cuboid = 2[(10)(5) + (5)(6) + (6)(10)]

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Surface area of cuboid = 2[140]

Surface area of cuboid = 280 in²

4 0
3 years ago
The sum of three consecutive numbers is equal to 123. What are the numbers?
Zina [86]

Answer:

40, 41, 42

Step-by-step explanation:

x +x+1+x+2=123

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3x=123-3

3x=120

x=120:3

x=40(the first number

40+1=41 (the second number

40+2=42 (the third number

4 0
4 years ago
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