Ask question

Ask question

All categories

2 years ago

12

In your quilt shop,you make and sell quilts. You like to have a total of 26 yards of royal blue fabric in stock at the beginning

of each month. Today your inventory includes 4 pieces of this fabric that are each 22 1/2 inches long and 3 pieces that are each 33 inches long. You must purchase this fabric in 3 yard long pieces. To replenish your stock,how many pieces do you need to buy?

1 answer:

Vera_Pavlovna [14]2 years ago

6 0

Answer:

7 pieces

Step-by-step explanation:

Stock that must be available at the beginning of each month = 26 yards

Since,

1 yard = 36 inches

26 yards = 26 x 36 = 936 inches

This means 936 inches of fabric must be available at beginning of each month.

<u>Current Inventory:</u>

4 pieces that are each 22 1/2 (or 22.5) inches long. So total length of these fabrics = 4 x 22.5 = 90 inches

3 pieces that each 33 inches long. So total length of these fabrics = 3 x 33 = 99 inches

Therefore, the total length of current inventory = 90 + 99 = 189 inches.

<u>Length of fabric needed more:</u>

Length of fabric that must be bought more = 936 - 189 = 747 inches

It is given that the fabric must be bought in pieces are the 3 yards long. 3 yards is equal to 108 inches.

So, I have to buy pieces that are each 108 inches long and I need to complete 747 inches in total.

Therefore, the number of pieces that I need to buy = $\frac{747}{108}=6.9$

Since, the pieces cannot be bought in fraction, I need to buy 7 complete pieces to replenish my stock.

You might be interested in

Gavin and Jim win some money and share it in the ratio 5:2. Gavin gets £39 more than Jim. How much did they get altogether?

gregori [183]

Answer:

Altogether Gavin and Jim won £95.

Step-by-step explanation:

We are given the following in the question:

Ratio of money won by Gavin and Jim = 5:2

Gavin gets £39 more than Jim.

Let x be the amount of money Won by Jim.

Then, money won by Gavin =

$=(x+39)$

Thus, we can write the equation:

$\dfrac{\text{Gavin}}{\text{Jim}} = \dfrac{5}{2}=\dfrac{x+39}{x}$

Solving, we get,

$\dfrac{5}{2}=\dfrac{x+39}{x}\\\\5x = 2x + 78\\\Rightarrow 3x = 78\\\Rightarrow x = 26\\\Rightarrow (x+39) = 65$

Thus, Gavin won £65 and Jim won £26.

Money won altogether =

$=65 + 26\\=95$

Thus, altogether Gavin and Jim won £95.

5 0

2 years ago

Evaluate u + xy, for u = 20, x = 9, and y = 8. 188 37 232 92

givi [52]

let's see

u + xy

Plug in numbers that you know:

20 + 9 * 8

20 + 72

92

8 0

2 years ago

Read 2 more answers

Hiromi sells 12 T-shirts each week at a price of $13.00. Past sales have shown that for every $0.25 decrease in price, 4 more T-

Lerok [7]

(13-0.25x4)(12+4x4)=2,464
(13-0.25x5)(12+4x5)=3,845
(13-0.25x6)(12+4x6)=2,845
so your answer is 3,845 because if Hirome sells them for $11.75 he makes $3845 if Hirome sold them for $11.50 he makes $2845.80 and if he sold them for $12.00 he would make $2464.00

4 0

2 years ago

PLEASE HELP 30 PTS!!

Troyanec [42]

I hope this helps you

7 0

2 years ago

Read 2 more answers

A lake near the Arctic Circle is covered by a sheet of ice during the cold winter months. When spring arrives, the ice starts to

hichkok12 [17]

Answer: 1.5 meters

Step-by-step explanation:

Given: A lake near the Arctic Circle is covered by a sheet of ice during the cold winter months. S

S(t) models the ice sheet's thickness (in meters) as a function of time t (in weeks) $S(t)=-0.25t+4$

if we put x=0, then

$S(0)=-0.25(0)+4\\=4\ meters$

So 4 meters is the initial thickness

To find the thickness after 6 weeks, put x=6 we get

$S(6)=-0.25(6)+4\\=-1.5+4=2.5\ meters$

Decrease in thickness every 6 weeks= $4-2.5=1.5\ meters$

3 0

2 years ago

Read 2 more answers