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den301095 [7]
3 years ago
14

The cost of renting a car is 35/we plus $0.25/mi traveled during that week. An equation to represent the cost would be y= 35+0.2

5x, where x is the number of miles traveled. Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?
Mathematics
2 answers:
MaRussiya [10]3 years ago
7 0

ANSWER

260 miles

EXPLANATION

The equation that models the cost is

y = 35 + 0.25x

If you have a maximum of $100 to spend for the car rental, then we can equation the cost function to

$100 to determine the maximum number of miles you could travel.

35 + 0.25x = 100

0.25x = 100 - 35

0.25x = 65

x =  \frac{65}{0.25}

x = 260mi

Therefore the maximum number of miles you can travel is 260 miles

andre [41]3 years ago
7 0
Basically what that person said you can travel a max of 260 miles
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Answer:

The die lands with a​ 1, 2,​ 3, 4, or 5 on top ⇒ answer D

Step-by-step explanation:

- Complementary events are two outcomes of an event that are the

 only two possible outcomes

- The Complement Rule states that the sum of the probabilities of

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- P(A) + P(A') = 1

- Lets solve the problem

- The event A is:

  " a die lands with a 6 on​ top "

∴ P(A) = \frac{1}{6}

∵ P(A) + P(A') = 1

∴ \frac{1}{6} + P(A') = 1

- Subtract \frac{1}{6} from both sides

∴ P(A') = \frac{5}{6}

∵ The die has six numbers from 1 to 6

∴ The other numbers than 6 are 1 , 2 , 3 , 4 and 5

∴ The complement of event A is:

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* The complement of the event is:

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8 0
3 years ago
Nathaniel builds birds and birdhouses using Lego blocks. Let B represent the number of birds and H represent the number of birdh
N76 [4]

Answer:

At-most 3 birdhouses.

Step-by-step explanation:

Let B represent the number of birds and H represent the number of birdhouses that Nathaniel can build with his Lego blocks.

We have been given that Nathaniel builds birds and birdhouses using Lego blocks. The inequality 43B+215H\leq3000 represents the number of birds and birdhouses Nathaniel could build.

To find the number of birdhouses that Nathaniel can build after making 50 birds, we will substitute B=50 in our given inequality and then solve for H.

43*50+215H\leq3000

2150+215H\leq3000

Let us subtract 2150 from both sides of our inequality.

2150-2150+215H\leq3000-2150

215H\leq850

Let us divide both both sides of our inequality by 215.

\frac{215H}{215}\leq\frac{850}{215}

H\leq3.953488

As Nathaniel can make build less than or equal to 3.953488 and the biggest integer less than or equal to 3.953 is 3, therefore, Nathaniel can build at-most 3 birdhouses with remaining Lego blocks.

3 0
3 years ago
Read 2 more answers
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Lady_Fox [76]

Answer:

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Step-by-step explanation:

y=\dfrac{x}{4}

Put the values of x from the table to the equation:

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From the comment.

Convert the equation:

y=\dfrac{x}{4}    <em>multiply both sides by 4</em>

4y=x\to x=4y

Put the values of y from the table to the equation:

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\large\huge\boxed{\begin{array}{c|c}x&y\\\\16&4\\\\8&2\\\\36&9\end{array}}

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3 years ago
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coldgirl [10]

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one solution

Step-by-step explanation:

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If you work through a series of obscure calculations involving area and the radius of the incircle, they boil down to a simple fact:

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... perimeter ΔAMN = AB +AC

8 0
3 years ago
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