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NikAS [45]
1 year ago
15

William drove 344 miles in 8 hours. If he continued at the same rate, how far would he travel in 17 hours?

Mathematics
2 answers:
DiKsa [7]1 year ago
4 0

Answer:

731 miles

Step-by-step explanation:

To solve this, we can set up a proportion.

Let's name the number of miles he travels in 17 hours x for now.

8/344=17/x

Simplify 8/344

2/86=17/x

Cross multiply

86*17=2*x

2x=1462

Divide both sides by 2.

x=731

He would travel 731 miles in 17 hours.

erma4kov [3.2K]1 year ago
3 0

Answer:

731 miles

Step-by-step explanation:

Proportions:

344 miles ⇒ 8 hours

W miles ⇒ 17 hours

W = 344*17/8

W = 731

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Li keeps track of the time he spends working out each week. The table shows the number of cardio workouts and the number of weig
Dmitry [639]

Step-by-step explanation:

1)X represents the time he spent in cardio.

Y represents the time he spent in weighted.

2)If you could put the options on the second one it would be better.

3)4x+y=210

3x+2y=195

y=210-4x

3x+2(210-4x)=195

3x+420-8x=195

5x=420-195

5x=225

x=45

y=30

Total time of one cardi and weighted = 75min= 5/4 h.

4)2x+4y=

90+120=210 total time of week three.

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1 year ago
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lorasvet [3.4K]

Answer:

(m + 2)^4 = m^4+ 8 m^3 + 24 m^2 + 32 m + 16

Step-by-step explanation:

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(m + 2)^4 = m^4+ 8 m^3 + 24 m^2 + 32 m + 16


4 0
1 year ago
A certain type of plywood consists of six layers. The thickness of the layers are independent and normally distributed with mean
Ira Lisetskai [31]

Answer:

a.) The mean of the six layered plywood is 30 mm

    The standard deviation is 0.49 mm

b.) That the thickness is less than 28 mm has a probability of 0.000022.

Step-by-step explanation:

There are six layers in a plywood that is considered. It is also given that the layers are independent and normally distributed.

The thickness of the layers of the plywood have a mean, \mu = 5 mm

and a standard deviation, \sigma = 0.2 mm.

a.) Therefore the mean of the six layered plywood is = 6\mu

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                                                                                   = 30 mm

 The standard deviation of the six layered plywood = \sqrt{6 \sigma^{2} } = \sqrt{6 \times (0.2)^2} = 0.49 mm

b.) We are given to find that the probability of the plywood is less than 28 mm thick.

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   P( Z < \frac{(28 - 30)}{0.49})       =  P(Z < (\frac{-2}{0.49} ))        ⇒       P( Z < -4.082) = 0.000022

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Answer:

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Step-by-step explanation:

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