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ladessa [460]
3 years ago
11

Jackie has $33, and needs to get a taxi. The cost for a taxi is a fee of $5, plus $7 per mile. Which inequality would help Jacki

e figure out how many miles she could afford to ride in the taxi? Let x represent the number of miles.
Group of answer choices

7 + 5x ≥
≥
33

5 + 7x ≤
≤
33

7 + 5x ≤
≤
33

5 + 7x ≥
≥
33
Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0

Answer:

5 + 7x \le 33

Step-by-step explanation:

Given

Base\ Charge = 5

Additional = 7 per mile

Total = 33

Required

Determine the inequality

First, we need to determine the total cost for x miles.

Cost = Base\ Charge + Additional * x

Cost = 5 + 7 * x

Cost = 5 + 7x

The total cost can not exceed the amount he has, so the inequality is:

Cost \le Total

5 + 7x \le 33

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Some banks now use continuous compounding of an amount invested. In this case, the equation that models the value of an initial
Elza [17]

9514 1404 393

Answer:

  $2838.14

Step-by-step explanation:

Fill in the values and do the arithmetic.

  A = 2000e^(0.07·5)

  A = 2000e^0.35 ≈ 2838.14

The value of the investment in 5 years will be $2838.14.

5 0
3 years ago
Is this answer correct?
ycow [4]
Yes. 25.6 is correct. And the written work looks great. Very thorough.
6 0
3 years ago
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A red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 6 o
olganol [36]

Answer:

The expected value of X is $0.0833.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are 6^2 = 36 desired outcomes.

Desired outcomes:

Sum 5: (1,4), (2,3), (3,2), (4,1).

Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)

Sum of 9: (3,6), (4,5), (5,4), (6,3)

Sum of 10: (4,6), (5,5), (6,4)

Sum of 12: (6,6)

Probabilities:

5 + 3 = 8 outcomes in which the sum is 6 or 10, that is, 8/36 probability of winning $4.

4 + 4 + 1 = 9 outcomes in which the 5, 9, or 12, that is, 9/36 probability of winning $1.

36 - (8 + 9) = 36 - 17 = 19 remaining outcomes, that is, 19/36 probability of losing $2.

What is the expected value of X?

Multiplication of each outcome by its probability. So

E(X) = \frac{8}{36}*4 + \frac{9}{36}*1 - \frac{19}{36}*2 = \frac{8*4 + 9*1 - 19*2}{36} = \frac{32 + 9 - 38}{36} = \frac{3}{36} = 0.0833

The expected value of X is $0.0833.

4 0
3 years ago
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cluponka [151]

2x - 3y - 9z = -32

x + 3z = 8

-3x + y - 4z = -8

Add all the equations together.

-3y - 10z = -32

By looking at the first equation, 2x - 3y - 9z = -3y - 10z.

So 2x = -z.

By looking at the second equation, x + 3z = (-0.5z) + 3z = 8.

So 2.5z = 8, and z = 3.2.

This means that x = -1.6.

Let's substitute into our original equations!

-3.2 - 3y - 28.8 = -32

4.8 + y - 12.8 = -8

Therefore, y = 0!

Since these answers do not contradict each other, they are dependent.

The answers are x = -1.6, y = 0, z = 3.2.

8 0
3 years ago
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Use the function rule f(x)=x^2<br><br> Find f(2.5)__
AysviL [449]

Answer:

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Step-by-step explanation:

f(x)=x^2

f(2.5) = (2.5)^2

        =6.25

7 0
3 years ago
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