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USPshnik [31]
3 years ago
10

Mr. Malone is contemplating which chauffeured car service to take to the airport. The first costs $28 upfront and $2 per mile. T

he second costs $13 plus $5 per mile. For a certain driving distance, the two companies charge the same total fare. What is the distance?
Mathematics
1 answer:
Ksju [112]3 years ago
8 0

Answer:

The distance is 8 miles.

Step-by-step explanation:

First, we need to write an equation for each of chauffeured car services.

The first one = 28 + 2x = ?

The second one = 13 + 5x = ?

Next, we need to figure out what x is. Usually I just plug in random numbers, but I'm sure there's a better way to do it.

I first plugged in 2 as x.

28 + 4 = 32

13 + 10 = 23

That didn't work, so I then plugged in 5.

28 + 10 = 38

13 + 25 = 38

So 5 would be the correct answer for what is the distance.

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mario62 [17]
The answer is 2 answer 2
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3 years ago
In the line y - 3 = -2 (x+5), which of the following are true?
blsea [12.9K]

Answer:

Options a, d and e

Step-by-step explanation:

We check the validity of each of the options.

Kindly note that we can express the equation fully and we have;

y-3 = -2x-10

y = -2x -10 + 3

y = -2x -7

So let’s now evaluate the options.

(a) Insert the value of x at this point, if it gives the value of y, then it’s on the line

the value of x to insert is -5 here.

Thus ; y = -2(-5)-7 = 10-7 = 3

since y is 3, then it is on the line

(b) same as a

insert x = 5

y = -2x-7

y = -2(5) -7

y = -10-7 = -17

This is definitely not on the line as the value of y gotten does not correlate with what was given

c. To get this , compare with the standard form of

y = mx + c

where m is slope

Here our m is -2 , so this is definitely wrong

d) From above , we can see that this is correct

e) compare this with y = mx + c

c is our intercept and this is equal to -7 which makes this option also correct

6 0
4 years ago
-15+7.5(2d-1)=7.5 what is d
snow_tiger [21]

Answer:

d=2

Step-by-step explanation:

3 0
4 years ago
You have a giant bag of M&Ms and are wondering how many there are. You notice that there don’t seem to be nearly as many
USPshnik [31]

Answer:

800 M &Ms

Step-by-step explanation:

First, we can operate on the estimate that the proportion of M&Ms of the sample is equal to the proportion of M&Ms in the giant bag.

Therefore,

number of orange M&Ms in sample / sample size = number of orange M&Ms in bag / bag size

3/50 = 48 / bag size

multiply both sides by 50 to remove a denominator

3  = 48 * 50 / bag size

multiply both sides by bag size to remove the other denominator

3 * bag size = 48 * 50

divide both sides by 3 to isolate bag size

bag size = 48 * 50 / 3

bag size  = 800 M &Ms

7 0
3 years ago
A stereo priced at $769 is on sale for 35 % off find the discount and the sale price
frozen [14]

$269.15 discount 499.85 sales price

Step-by-step explanation:

If the price is $769 it's off 35% you turn the percent into a decimal which is .35 then you multiply it by the price of $769. You then get $269.15 for the discount price and then you subtract the regular price $769 from the discount price which is $269.15. So you get $499.85 as your answer

7 0
4 years ago
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