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belka [17]
2 years ago
12

Martina spends $15 each time she travels the toll roads. She started the month with $225 in her toll road account. The amount, A

(in dollars), that she has left in the account after trips on the toll roads is given by the following function.
A(t)=225-15t

Answer the following questions.



a. How many trips on the toll roads can Martina take until her account is empty?

b. How much money does she have left in the account after 8 trips on the toll roads?
Mathematics
1 answer:
PolarNik [594]2 years ago
6 0

Answer:

$70 is what he would have left. Since each trip is $14 you would multiply that by the amount of times he went which was 11. 14x11 is $154. But you need what he has left so you take his total amount $224-$154 and get $70.

Part b.) 16 times. He has $224 total. You want to find out how many times he can go on the tool roads. We know the toll roads cost $14 each time. So you do $224/14 and get an even amount of 16. He would be able to use it 16 times before he have no money left.

Step-by-step explanation:

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The cost of turkey is directly proportional to its weight. If a 12-pount turkey costs $27, how much does a 13-pound turkey cost?
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Answer:

$29.25

Step-by-step explanation:

Divide the cost of the turkey by 12 to obtain the unit cost then multiply this by 13

cost = \frac{27}{12} × 13 = $29.25


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6. Marisol plans to make 9 mini-sandwiches for
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18/4

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in this case I multiplied by 2 and got 18/4

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HELP If you apply these changes to the linear parent function , f(x)-=x what is the equation of the new function vertically comp
Aleksandr [31]

Answer:

transformed function, g (x) = (1/5)(-x)+7

Step-by-step explanation:

Assuming

f (x) = -x           (and not f(x)-=x)

To compress/expand, we apply

g (x) = a*f(bx-k)+h

where

a=vertical stretch factor, a= 1/5 for compression (to stretch 5 times, a=5)

b=horizontal compression factor (=1 i this case)

h=vertical translation (=7)

k=horizontal translation (=0)

So the transformed function,

g (x) = (1/5)(-x)+7

7 0
3 years ago
A total of 81 points were scored at the basketball game between Whitehorse high school and Bear River high school if Whitehorse
grandymaker [24]

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44

Step-by-step explanation:

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5 0
3 years ago
Problem PageQuestion
krok68 [10]

Answer:

Jennifer's height is 63.7 inches.

Step-by-step explanation:

Let <em>X</em> = heights of adult women in the United States.

The random variable <em>X</em> is normally distributed with mean, <em>μ</em> = 65 inches and standard deviation <em>σ</em> = 2.4 inches.

To compute the probability of a normal random variable we first need to convert the raw score to a standardized score or <em>z</em>-score.

The standardized score of a raw score <em>X</em> is:

z=\frac{X-\mu}{\sigma}

These standardized scores follows a normal distribution with mean 0 and variance 1.

It is provided that Jennifer is taller than 70% of the population of U.S. women.

Let Jennifer's height be denoted by <em>x</em>.

Then according to the information given:

    P (X > x) = 0.70

1 - P (X < x) = 0.70

    P (X < x) = 0.30

⇒  P (Z < z) = 0.30

The <em>z</em>-score related to the probability above is:

<em>z</em> = -0.5244

*Use a <em>z</em>-table.

Compute the value of <em>x</em> as follows:

          z=\frac{X-\mu}{\sigma}

-0.5244=\frac{x-65}{2.4}

          x=65-(0.5244\times 2.4)

             =63.7414\\\approx63.7

Thus, Jennifer's height is 63.7 inches.

3 0
3 years ago
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