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adell [148]
2 years ago
7

Jamal is comparing his transportation options for an upcoming trip. He’s considering a rental car and a taxi service. Based on h

is planned routes during his trip, he expects a taxi service would cost about $128. Jamal could also get a rental car for a daily rate and unlimited miles. If Jamal’s trip will last 4 days and he expects to pay about $24 for gas, which graph shows the range of car rental rates that would be cheaper than the taxi service?
Mathematics
1 answer:
ZanzabumX [31]2 years ago
3 0

Answer:

The range of rental car rates that would be cheaper for Jamal than the taxi service is given by,

A ={x| 0 ≤ x < 26}  [where x is in dollar]

Step-by-step explanation:

Let, the car rental rate be  $ x per day .

Jamal's trip will last for 4 day.

He expects to pay $ 24 for gas  (if he rents the car)

He expects a  taxi service would cost about $ 128

So, for the rental car option to be cheaper than the taxi option, the following inequality must follow,

128 > 24 + 4x

⇒ 4x < 104

⇒ x < 26

So, the range of rental car rates that would be cheaper for Jamal than the taxi service is given by,

A ={x| 0 ≤ x < 26} [where x is in dollar]

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Elis [28]
<h2>Answer</h2>

0.43

<h2>Explanation</h2>

Remember that RelativeFrecuency=\frac{Frecuency}{SumOfAllFrecuencies}

Since the problem is telling us "Among tenth graders", we must focus on the 10th graders row only. From the row, we can infer that the frequency is the number of 10th graders who prefer going to sporting events, so Frecuency=6. Now, the sum of all frequencies will be the sum of all the 10th graders, so SumOfAllFrecuencies=6+8=14. Let's replace the values:

RelativeFrecuency=\frac{Frecuency}{SumOfAllFrecuencies}

RelativeFrecuency=\frac{6}{14}

RelativeFrecuency=0.4285

And rounded to the nearest hundredth:

RelativeFrecuency=0.43

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1 year ago
Two numbers are randomly selected on a number line numbered from 1 to 9. Match each scenario to its probability.
Talja [164]

Answer:

1/9; 4/9; 1/12; 1/6

Step-by-step explanation:

the probability that both numbers are greater than 6 if the same number can be chosen twice--> 3/9 * 3/9 = 1/9

the probability that both numbers are less than 7 if the same number can be chosen twice --> 6/9 * 6/9 = 4/9

the probability that both numbers are odd numbers less than 6 if the same numbers cannot be chosen twice --> 3/9 * 2/8 = 1/12

the probability that both numbers are even numbers if the same numbers cannot be chosen twice --> 4/9 * 3/8 = 1/6

5 0
1 year ago
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Lady_Fox [76]

Answer:

Step-by-step explanation:

1) To find the cube root of a number prime factorize

46656 = 2*2*2*2*2*2 * 3 * 3 * 3 * 3 * 3 * 3

\sqrt[3]{46656}=\sqrt[3]{2*2*2*2*2*2*3*3*3*3*3*3}  =2*2*3*3 = 36

Length of each side = 36 m

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1 year ago
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barxatty [35]

Answer:

x=9,-1  and x^2+(-8)x=9

Explanation:

we have been given with the quadratic equation x^2-8x-9

we compare the given quadratic equation with general quadratic equation

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substituting these values in the formula for discriminant D=b^{2}-4ac

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Now, to find the value of x

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Now, substituting the values we will get

x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1

And rewritting the given equation by  shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

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4 0
1 year ago
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wel

Answer:

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Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

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Given that:

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By cross multiply we get;

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