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s2008m [1.1K]
2 years ago
13

If speed varies inversely as the time it takes to drive and Kris takes 5 hours driving at 55 mph, what speed will Martin need to

Mathematics
1 answer:
Fudgin [204]2 years ago
3 0

Answer:

<em>55mph . None of the options are correct </em>

Step-by-step explanation:

If the speed varies inversely as the time it takes to drive, then v ∝ 1/t. where;

v is the speed

t is the time taken

Hence;

v = k/t with k being the constant of proportionality.

Since it takes Kris 5 hours when driving at 55 mph, we will substitute v = 55mph and t = 5 hours. into the equation above to get the value of k as shown:

55 = k/5

Cross multiply

k = 55*5

k = 275

Hence, to calculate the speed it will Martin to  drive for 5 hours, we will substitute k = 275 and t = 5 into the original equation v = k/t  as shownl

v = 275/5

v = 55 mph

<em>Hence, we can conclude that Martin will also need to drive at a speed of 55mph if he wants to take 5hours.</em>

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What is the discriminant of the quadratic equation 0 = 2x2 + 3x - 5?
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Answer:

0=4+3x-5 calculate

0=-1×3x move variable to the left

-3x=-1 divide both sides by -3

x=1 over 3

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2 years ago
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Twenty percent of what number is equal to five percent of 680
jolli1 [7]

Answer:

170

Step-by-step explanation:

5/100 ×680

=34

20%=34what about 100%=?

(100×34)÷20

170

8 0
2 years ago
In the diagram, WZ=StartRoot 26 EndRoot. On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (negative 2, 4), p
geniusboy [140]

Answer: Last option.

Step-by-step explanation:

Observe the diagram.

The perimeter of the parallelogram will be the sum of the lenghts of its sides. Then:

P=WX+XY+YZ+WZ

You know the lenght of the side WZ. This is:

WZ=\sqrt{26}\ units

Notice that:

XY=WZ=\sqrt{26}\ units

Now, you must find the lenghts of the sides WX and YZ (WX=YZ)

Observe that WZ goes from 2 to -2, therefore its lenght is:

WX=YZ=2-(-2)=4\ units

Therefore, substituting values, you get that the perimeter of the paralellogram is:

P=(4+ \sqrt{26}+4+\sqrt{26})\ units\\\\P=2\sqrt{26} +8\ units

3 0
2 years ago
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One of the assumptions underlying the theory of control charting is that successive plotted points are independent of one anothe
aksik [14]

Answer:

P(at least 1 wrong in 10) =0.5160

Step-by-step explanation:

Let A be the event  that there is a problem in the proces. Then the probability of problem with the process is P ( A) = 0.07

Let B be the event  that the process is without the problem. Then the probability of without problem is P ( B) = 0.93

Now we want to find the 10 successive points of event B. Since the events are independent we can find this as

P(B)+P(B)+P(B)+P(B)+P(B)+P(B)+P(B)+P(B)+P(B)+P(B)

or

P(B)^ 10= .93^10=0.48398

As we have to calculate at least 1 in 10 then we will subtract it from 1.

P(at least 1 wrong in 10) = = 1 - .93^10 =1- 0.48398=0.5160

4 0
2 years ago
Corey bought 2 1/2 liters of paint for $60. What was the cost per liter of paint
goldfiish [28.3K]

Hello there!

Answer:

$24

Step-by-step explanation:

In order to find the answer to your problem, we're going to need to find out how much ONE liter of paint costs.

Lets gather the information of what we know:

2 1/2 liters of paint

↑ Cost $60.

With the information we know, we can solve to find the answer.

In order to get the answer, we would need to divide 60 by 2 1/2 (or 2.5). We would need to do this because when we divide it, it would allow us to get the cost for 1 liter.

Lets solve:

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When you divide, you should get the answer of 24.

This means that one liter of paint cost $24.

$24 should be your FINAL answer.

6 0
2 years ago
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