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3 years ago

Grace cut 3 pieces of ribbon; each piece was 2/5 of a foot long.How many feet of ribbon does she have in all?

Mathematics

1 answer:

ser-zykov [4K]3 years ago

8 0

Answer:

6/5 or 1 1/5

Step-by-step explanation:

Each piece is 2/5 so you add it up 3 times or multiply by 3 to get 6/5 or 1 and 1/5.

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Which ordered pair is a solution of this

Stells [14]

Answer:

(-1,-2)

Step-by-step explanation:

I graphed the equation on the graph below so you can see that (-1,-2) is a solution.

6 0

3 years ago

If the circle below is cut from the square of plywood below, how many square inches of plywood would be left over? Use π = 3.14,

Elis [28]

Answer:

86in²

Step-by-step explanation:

Find the complete question attached

Area of the circle = πr²

Area of the square = L²

Length of the side of the square

r is the radius of the circle

r = L/2 = 20/2 =10in

Given

Length of the side of the circle = 20in

Area of the square = 20²

Area of the square = 400in²

Area of the circle =π(10)²

Area of the circle = 3.14(100)

Area of the circle= 314in²

Amount of plywood left over = 400in²-314in² = 86in²

8 0

3 years ago

The sum of three numbers is 26. Twice the first minus the second is the third less 2. The third is the second minus 3 times the

Agata [3.3K]

Let a, b, c represent the three numbers. The problem statement gives rise to three equations:

a +b +c = 26
2a -b = c -2
-3a +b = c

Adding the first two equations gives

... (a +b +c) +(2a -b) = (26) +(c -2)

... 3a +c = 24 +c . . . . . simplify

... 3a = 24 . . . . . . . . . . subtract c

... a = 8 . . . . . . . . . . . . divide by 3

Adding the second and third equations gives ...

... (2a -b) +(-3a +b) = (c -2) +(c)

... -a = 2c -2 . . . . simplify

... -6 = 2c . . . . . . add 2, substitute for a

... -3 = c . . . . . . . . divide by 2

Using the third equation we can find b.

... -3·8 +b = -3 . . . . substitute for a and c

... b = 21 . . . . . . . . .add 24

The numbers are 8, 21, -3.

_____

The method above is sort of "ad hoc", taking advantage of the numbers in this particular set of equations. You can use more formal methods of Gaussian elimination or Cramer's Rule to solve these by just following a procedure. Or, your graphing calculator can do it for you.

6 0

3 years ago

Do any of you guys know this please i need helppp!!

Fudgin [204]

The third one
5/6 is the answer

7 0

3 years ago

Read 2 more answers

Solve -4(3x-7) =40 for x

PIT_PIT [208]

Answer:

x = -1

Step-by-step explanation:

-4(3x-7) =40

Divide each side by -4

-4(3x-7)/-4 =40/-4

3x-7 = -10

Add 7 to each side

3x-7+7 = -10+7

3x = -3

Divide each side by 3

3x/3 = -3/3

x = -1

4 0

3 years ago