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Serhud [2]
3 years ago
5

Sally is going on a vacation with her family. In 2 hours they travel 90.5 miles. If they travel at the same speed, write an equa

tion that represents how far they will travel, d, in h hours
Mathematics
2 answers:
Mademuasel [1]3 years ago
3 0

Let d= distance in miles

Let h= time in hours

45.25h= d

Vilka [71]3 years ago
3 0

Answer:

d=45.25h

Step-by-step explanation:

This constant motion is represented by:

d=st

Where d is distance, s is speed and t is time.

We know that in 2 hours they travel 90.5 miles, this gives us a speed of:

s=\frac{d}{t}=\frac{90.5}{2}mi/hr=45.25mi/hr

But, the problem is asking for a general expression:

d=st\\d=\frac{90.5}{2}t\\ d=45.25h

Therefore, they travel a distance d in h hours, according to the expression

d=45.25h

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Five years ago, Victor was twice as old as his daughter Anika. In 10 years, the sum of their ages will equal 90. Find their ages
frozen [14]

Answer: 45 and 25

Step-by-step explanation:

Given

Five years ago victor was twice as old as his daughter

Suppose the current age of victor and his daughter are x and y

For five years ago

\Rightarrow (y-5)=2(x-5)\\\Rightarrow y-5=2x-10\\\Rightarrow y=2x-5\\\Rightarrow 2x-y=5\quad \ldots(i)

In 10 years sum of their ages is 90

\Rightarrow (y+10)+(x+10)=90\\\Rightarrow x+y=70\quad \ldots(ii)

On solving (i) and (ii) we get

\Rightarrow x=25,y=45

So, the current age of victor is 45 and his daughter is 25

8 0
2 years ago
The whole sales price for a chair is $165. A certain furniture store marks up the wholesalers price by 15%. Find the price of th
vichka [17]

Answer:

$189.75

Step-by-step explanation:

Whenever you want to find the percent of something, you need to turn the percent into a decimal. In this case, we need to find 115% of the wholesale price because there is a markup, so the cost will be higher.

115% as a decimal is 1.15. Here is how the equation will be set up:

$165 • 1.15 = $189.75

No rounding is necessary for this problem because it is already to the nearest cent.

4 0
3 years ago
The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with l=0.0003
Dvinal [7]

Answer: 0.0497870 ; 0.87754

Step-by-step explanation:

Given that :

λ = 0.0003

Defining a continuous distribution function :

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a. What proportion of the fans will last at least 10,000 hours?

P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870

b. What proportion of the fans will last at most 7000 hours?

P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)

1 - 0.12245642825 = 0.87754

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Answer:

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