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statuscvo [17]
2 years ago
12

Mike wants to rent a car for his vacation. The rental costs $125 a week plus $.15 a mile. How far can mike travel in a week if h

e wants to spend at the most $200?
Mathematics
2 answers:
guajiro [1.7K]2 years ago
6 0
He can travel 500 miles
Phantasy [73]2 years ago
4 0

Answer: Mike can travel 500 miles if he wants to spend $200.

Step-by-step explanation:  Given that Mike wants to rent a car for his vacation and the rental costs $125 a week plus $.15 a mile.

We are to find the number of miles that Mike can travel in a week if he wants to spend at the most $200.

Let x denotes the number of miles that Mike can travel.

Then, according to the given information, we have

0.15\timesx+125=200\\\\\Rightarrow 0.15x=200-125\\\\\Rightarrow 0.15x=75\\\\\Rightarrow x=\dfrac{75}{0.15}\\\\\\\Rightarrow x=\dfrac{7500}{15}\\\\\Rightarrow x=500.

Thus, Mike can travel 500 miles if he wants to spend $200.

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What values of b satisfy 4(3b + 2)2 = 64?
rodikova [14]
Assuming yo meant
4(3b+2)²=64

divide both sides by 4
(3b+2)²=16
sqrt both sides
remember to take positive and negative roots
3b+2=+/-4
minus 2 both sides
3b=-2+/-4
divide by 3
b=(-2+/-4)/3
b=(-2+4)/3 or (-2-4)/3
b=2/3 or -6/3
b=2/3 or -2


A is answer
7 0
2 years ago
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A student walks 1/4 Mile from her home to the store on her way to a friend's house at the store is one third of the wave to her
Setler [38]
Her friend's house is 1/12 miles away from her house.

Since 1/4 miles is 1/3 of the way, 1/4 x 1/3 = 1/12.
4 0
2 years ago
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Makayla has $8 to buy tickets at the school fair. Each ticket costs @1.5. Which inequality best represents how many tickets she
cricket20 [7]

Answer:

n\le 5

Step-by-step explanation:

Let n be the number of tickets Makaya has to buy.

If the cost of one ticket is $1.5, then the cost of n tickets is $1.5n.

Makayla has $8 to buy tickets at the school fair, thus

1.5n\le 8\\ \\n\le \dfrac{8}{1.5}\\ \\n\le \dfrac{80}{15}\\ \\n\le \dfrac{16}{3}\\ \\n\le 5\dfrac{2}{3}

The maximum number of tickets Makaya can buy is 5, so

n\le 5

5 0
2 years ago
The graph of f(x) = StartRoot x EndRoot is reflected over the y-axis. Use the graphing calculator to graph this reflection. Whic
labwork [276]

Answer:

<em>(–81, 9), (–36, 6), (–1, 1) </em> are the correct three points.

Step-by-step explanation:

Given the function:

f(x) =\sqrt x

Please refer to the attached image.

The green line shows the graph of actual function.

It is reflected over y axis.

The reflected graph is shown in black color in attached image.

When reflected over y axis, the sign of variable x changes from Positive to Negative.

So, the resultant function becomes:

f(x)=\sqrt{-x}

i.e. we will have to give the values of x as negative now.

so, the options in which value of x is negative are the possible answers only.

The possible answers are:

(–81, 9), (–36, 6), (–1, 1) and

(–49, 7), (–18, 9), (–1, 1)

Now, we will check the square root function condition.

In the 2nd option, (–18, 9) does not satisfy the condition.

So, the correct answer is:

<em>(–81, 9), (–36, 6), (–1, 1)</em>

7 0
2 years ago
For a certain type of copper wire, it is knownthat, on the average, 1.5 flaws occur per millimeter.Assuming that the number of f
mario62 [17]

Answer:

The probability that no flaws occur in a certain portion of wire of length 5 millimeters =  1.1156 occur / millimeters

Step-by-step explanation:

<u>Step 1</u>:-

Given data A copper wire, it is known that, on the average, 1.5 flaws occur per millimeter.

by  Poisson random variable given that λ = 1.5 flaws/millimeter

Poisson distribution P(X= r) = \frac{e^{-\alpha } \alpha ^{r} }{r!}

<u>Step 2:</u>-

The probability that no flaws occur in a certain portion of wire

P(X= 0) = \frac{e^{-1.5 } \(1.5) ^{0} }{0!}

On simplification we get

P(x=0) = 0.223 flaws occur / millimeters

<u>Conclusion</u>:-

The probability that no flaws occur in a certain portion of wire of length 5 millimeters = 5 X P(X=0) = 5X 0.223 = 1.1156 occur / millimeters

5 0
2 years ago
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