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tester [92]
3 years ago
11

Mandy was making 6 pillows to give as gifts to her family. She needed 5/8 of a yard of material for each pillow. How many yards

of material does she need?
Mathematics
1 answer:
tatiyna3 years ago
5 0

9514 1404 393

Answer:

  3 3/4

Step-by-step explanation:

Mandy needs 6 times 5/8 yards, or ...

  6(5/8) = 30/8 = 3 6/8/ = 3 3/4 . . . yards

You might be interested in
You are remodeling your kitchen. You've contacted two tiling companies who
ICE Princess25 [194]

Answer:

12x=10(25+x)

Step-by-step explanation:

Jim's rate=x

Pete's rate=y

Jim and Pete lays the same number of tiles.

So we have,

12x=10y

Pete's can lay 25 more tiles than Jim per hour

We have

y=25+x

Substitute y=25+x into 12x=10y

12x=10y

12x=10(25+x)

12x=250+10x

12x-10x=250

2x=250

x=250/2

=125

x=125

12x=10(25+x) is the equation used to find the rate that Jim can lay tiles

3 0
3 years ago
3x+2-5x=10 what is X
Advocard [28]

Answer:

x = -4

Step-by-step explanation:

Solve for x:

3 x - 5 x + 2 = 10

Grouping like terms, 3 x - 5 x + 2 = 2 + (3 x - 5 x):

2 + (3 x - 5 x) = 10

3 x - 5 x = -2 x:

-2 x + 2 = 10

Subtract 2 from both sides:

(2 - 2) - 2 x = 10 - 2

2 - 2 = 0:

-2 x = 10 - 2

10 - 2 = 8:

-2 x = 8

Divide both sides of -2 x = 8 by -2:

(-2 x)/(-2) = 8/(-2)

(-2)/(-2) = 1:

x = 8/(-2)

The gcd of 8 and -2 is 2, so 8/(-2) = (2×4)/(2 (-1)) = 2/2×4/(-1) = 4/(-1):

x = 4/(-1)

Multiply numerator and denominator of 4/(-1) by -1:

Answer:  x = -4

7 0
3 years ago
Can some1 pls explain to me how to do this??! Katrina is building a deck. She cuts 3 lengths of wood from a 72-inch board. The f
uysha [10]
Rewriting the question, the given lengths that were cut from the board were 30 3/4 inches, 12 1/4 inches, and 16 1/4 inches. To obtain the remaining length of the board, all of the measurements cut are to be added and subtracted from 72 inches. This is shown below:

30 3/4 + 12 1/4 + 16 1/4 = 237/4 = 59.25 inches.

Remaining length of board = 72 - 59.25 = 12.75 inches.

Therefore, there will be 12.75 inches remaining of the board.
6 0
3 years ago
Suppose that your business is operating at the 4.5-Sigma quality level. If projects have an average improvement rate of 50% annu
Luda [366]

Answer:

  11.75 years

Step-by-step explanation:

If we ignore the fact that "6-sigma" quality means the error rate corresponds to about -4.5σ (3.4 ppm) and simply go with ...

  P(z ≤ -6) ≈ 9.86588×10^-10

and

  P(z ≤ -4.5) ≈ 3.39767×10^-6

the ratio of these error rates is about 0.000290372. We're multiplying the error rate by 0.5 each year, so we want to find the power of 0.50 that gives this value:

  0.50^t = 0.000290372

  t·log(0.50) = log(0.00290372) . . . . take logarithms

  t = log(0.000290372)/log(0.50) ≈ -3.537045/-0.301030

  t ≈ 11.75

It will take about 11.75 years to achieve Six Sigma quality (0.99 ppb error rate).

_____

<em>Comment on Six Sigma</em>

A 3.4 ppm error rate is customarily associated with "Six Sigma" quality. It assumes that the process may have an offset from the mean of up to 1.5 sigma, so the "six sigma" error rate is P(z ≤ (1.5 -6)) = P(z ≤ -4.5) ≈ 3.4·10^-6.

Using that same criteria for the "4.5-Sigma" quality level, we find that error rate to be P(z ≤ (1.5 -4.5)) = P(z ≤ -3) ≈ 1.35·10^-3.

Then the improvement ratio needs to be only 0.00251699, and it will take only about ...

  t ≈ log(0.00251699)/log(0.5) ≈ 8.6 . . . . years

5 0
3 years ago
What does and 6 7/12 yards x 3 1/6 = ?
aleksandr82 [10.1K]
Well a<span>ll you have to do is turn one of the numbers from yards to feet or feet to yards, so you can accurately add it. Considering it would be easier to turn the yards to feet, you use the fact that, 1 yard is equal to 3 feet. So the 6 7/12 as feet is now 19.75 feet. So now you multiply them and 3 1/6 times 19.75 is 62.5416666535, and you can round this to just 63.</span>
5 0
3 years ago
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