your drapery business has just gotten a new client who needs 4 drapes. each one will need to be 8 feet by 5 feet and you must add an additional 6 inches on top and bottom for a hem. the customer has chosen the fabric but the store only has 6 linear yards of material. is that enough to make all the drapes? why or why not?

Answers

Answer 1
Answer: 1. You have that:

 - The new client who needs 4 drapes.
 - Each dreape will need to be 8 feet by 5 feet. Therefore, the perimeter will be:

 P1=8 ft+8 ft+5 ft+5 ft
 P1=26 ft

 - You must add an additional 6 inches on top and bottom. Therfore, the perimeter will be:

 1 inch=0.0833 ft
 6 inches=0.499 ft
≈0.50 ft

 P2= 2(0.50 ft++0.50 ft+8 ft+8 ft)
 P2=34 ft

 - Thefore, the total perimeter of the drape will be:

 Pt=26 ft+34 ft
 Pt=60 ft

 - The perimeter of 4 drapes will be:

 =60 ftx4
 =240 ft

 - The problem says that the store only has 6 linear yards of material. Therefore:

 6 yards=18 ft

 The answer is: It is not enough to make all drapes, because you need 240 ft of material and the store only has 18 ft.

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Two joggers, one averaging 7 mph and one averaging 5 mph, start from a designated initial point. The slower jogger arrives at the end of the run 45 minutes after the other jogger. Find fhe distance of the run.

Answers

22.5 miles long 


basically all you have to do is count out the factors until you reach two number of 45 apart 

                                        DIFFERENCE 
7MPH      5MPH          BETWEEN THEM

7                5                          2
14             10                         4
21             15                         6
28             20                         8
35             25                        10
42             30                        12
49             35                        14
56             40                        16
63             45                        18
70             50                         20
77             55                         22
84             60                         24
91             65                         26
98             70                         28
105           75                         30
112           80                         32
119           85                         34
126           90                         36 
133           95                         38
140           100                       40
147           105                       42
154           110                       44
161           115                       46 



considering the differences are even it means it has to fall in the middle. if you count from the top it is 22.5 numbers down giving you the number of miles.
I'm sure there is an easier way but this is how i would solve it. :)

Final answer:

The distance of the run is 13.125 miles. The total time for the slower jogger was found to be 2.625 hours. Thus, both joggers ran the same distance, but at different speeds resulting in different finish times.

Explanation:

The problem deals with the concept of relative speed in mathematics. To find the distance of the run, we first need to figure out the time it took for each jogger to finish the run. We know that the slower jogger finished 45 minutes after the faster one. Since the speed equivalence is expressed in miles per hour (mph), let's convert 45 minutes into hours by dividing 45 by 60, giving us 0.75 hours.

Given that the slower jogger runs at 5 mph, and they took 0.75 hours longer than the faster one, we know they ran for a certain time 't', so we can represent this as t = total time of slower jogger's run.

The faster jogger ran at 7 mph. Since the jogger was 0.75 hours ahead of the slower one, the time would be represented by t - 0.75 hours = total time of faster jogger's run. The distance travelled by each jogger is 'speed x time'.

Following this, we equal these distances because it's the same course: 5t = 7(t - 0.75).

Solving this equation gives us t = 2.625 hours (total time for slower jogger). To find the run's distance, we can now substitute total time into either jogger's speed x time calculation. We'll use the slower jogger here: Distance = 5t = 5*2.625 = 13.125 miles.

Learn more about Relative Speed here:

brainly.com/question/14362959

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If m<3 + m<4 = 180°, then 2<3 and m<4 are
supplementary angles

Answers

Answer:

Step-by-step explanation:

is this a true false? If yes then its true

Pls I need help !!!!!!!

Answers

Answer:

-3 -4

Step-by-step explanation:

Bc it's why not ...... ummmmmmm

Start at 200.Create a pattern that multiplies each number by 2.Stop when you have 5 numbers.

Answers

200, 400, 800, 1600, 3200

I have a math question.Two fielda ats state park are 1000 meters from each other.On a map,the two fields are 8 centimeters apart.What scale is the map using?Is it the metric scale??

Answers

Answer:

The scale used is 1 : 12500. And the scale is in centimetres

Step-by-step explanation:

Given:

state park are 1000 meters from each other.

On a map,the two fields are 8 centimetres apart

To Find:

The scale used by the map = ?

Is it the metric scale?

Solution:

Actual distance between the parks is 1000 meters. But in map the distance is 8 centimetres

so the scale for map to actual distance is

8 cm : 1000 m

Now,

1 m  = 100 m

So

1000 m  = 100000 cm

Thus

8 cm : 100000 cm

On Reducing we get,

1 : 12500

Simplify: 4 square root of 2 plus square root of 32 minus square root of 168 square root of 2 minus 4
4 square root of 2 plus square root of 32 minus 4
9 square root of 2 minus 4
4 square root of 34 minus 4

Answers

4√(2)+√(32)-√(16)=4√(2)+4√(2)-4=8√(2)-4