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zubka84 [21]
3 years ago
12

A contractor bought 10.8 ft to the second power of sheet metal. he has used 3.7ft to the scound power so far and has ​$113.60 wo

rth of sheet metal remaining. The equation 10.8x - 3.7x = 113.6 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square​ foot?
Mathematics
1 answer:
GrogVix [38]3 years ago
7 0

Answer:

Step-by-step explanation:

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Suppose you have a standard deck of 52 cards. What is the probability that if you select a card at random that it does not have
mr Goodwill [35]

0.92

Step-by-step explanation:

There are 4 cards in a deck of 52 cards that has a face value of 3. That means that the other 48 cards don't have a face value of 3. Therefore, the probability of picking a card of this deck that doesn't have a face value of 3 is

P =\dfrac{48}{52} = 0.92

4 0
2 years ago
The multiplication of two or more quantities may be expressed as the ? of the same quantities.
Mkey [24]

Answer:

PRODUCT

Step-by-step explanation:

? = Product because idk, common knowledge. I don't know how to explain it , it is just that I KNOW it.

3 0
3 years ago
8 Leandra's fastest time for the 400 m is 70 seconds. In his next race he improves by
disa [49]

8) a) The new fastest time is 56.7 seconds, b) The <em>overall percentage</em> improvement is 19 %.

9) The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

<h3>How to apply percentages in real life applications</h3>

In this problem we have two examples from real life, in which percentages are used. The first is the distance traveled by a runner in a given time and the second is the growth of a person in time. Change in variables based on percentages are described by the following formula:

C' = C · (1 + r / 100)     (1)

Where:

  • C - Initial value
  • C' - Final value
  • r - Percentage of change.

Now we proceed to resolve on each case. 8) a) Please notice that the runner must cover the trail in less time and percentage time must be negative. If we know that C = 70 and r = - 10, then his new fastest time is:

C' = 70 · (1 - 10 / 100)

C' = 70 · 0.90

C' = 63

And again: (C' = 63, r = - 10)

C'' = 63 · (1 - 10 / 100)

C'' = 63 · 0.90

C'' = 56.7

The new fastest time is 56.7 seconds.

b) And the overall percentage improvement is:

r = (|C'' - C| / C) × 100 %

r = (|56.7 - 70| / 70) × 100 %

r = 19 %

The <em>overall percentage</em> improvement is 19 %.

9) If we know that C = 1.25 and r = 10, then the height next year is:

C' = 1.25 · (1 + 10 / 100)

C' = 1.375

And again: (C' = 1.375, r = 12)

C'' = 1.375 · (1 + 12 / 100)

C'' = 1.54

The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

To learn more on percentages: brainly.com/question/13450942

#SPJ1

3 0
2 years ago
Ms. Ramirez has a class of 15 students. She can spend $18 on each student to buy math supplies for the year. She first buys all
Aloiza [94]

Answer:7.775

Step-by-step explanation:

So u do 130.05 ÷18 =7.225

Now u do 15 - 7.225 = 7.775

7.775 is the money she can still spend for them.

Also u could do 15 x 18 = 270

270 ÷ 2 = 135

8 0
3 years ago
If sec theta = - √30 / 3, find cos theta.<br> if sin(-theta) = -0.97, find cos (π/2 - theta).
Cloud [144]

Step-by-step explanation:

\cos \theta  =  \frac{1}{ \sec\theta }  =  -  \frac{3}{ \sqrt{30} }  =  -  \frac{3 \sqrt{30} }{30}   =  -  \frac{ \sqrt{30} }{10}

\cos( \frac{\pi}{2} -  \theta )=  \cos \frac{\pi}{2}  \cos \theta  +   \sin \frac{\pi}{2}  \sin \theta

Note that

\sin( - \theta) =  -  \sin \theta

\cos \frac{\pi}{2}  = 0 \:  \:  \:  \:  \:  \sin \frac{\pi}{2}  = 1

Therefore,

\cos( \frac{\pi}{2} -  \theta )  = 0.97

5 0
3 years ago
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