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Verdich [7]
3 years ago
13

Find the x-intercept of the line:8x - 4y = -24​

Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0
X-intercept = (-3,0)
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Rent-Me Rent-A-Car charges $25.00 per day plus $0.14 per mile to rent an economy car. Better Deal Rental Car charges $23.00 per
zalisa [80]

Answer:

The number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.

Step-by-step explanation:

Let x represents the number of miles at which a car rented from either company cost the same amount. Therefore, we can have the following equation:

RC = 25 + 0.14x ....................... (1)

BC = 23 + 0.18x ...................... (2)

Where;

RC = Total cost of Rent-Me Rent-A-Car

BC = Total cost of Better Deal Rental Car

The the cost of the two companies equal where RC = BC. Therefore, we equate equations (1) and (2) and solve for x as follows:

25 + 0.14x = 23 + 0.18x

25 - 23 = 0.18x - 0.14x

2 = 0.04x

x = 2 / 0.04

x = 50

Therefore, the number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.

<u>Note:</u>

This can be confirmed for equations (1) and (2) individually by substituting for x = 50 as follows:

For equation (1):

RC = 25 + 0.14(50)

RC = 25 + 7

RC = 32

For equation (2):

BC = 23 + 0.18(50)

BC = 23 + 9

BC = 32

Therefore, RC = BC = 32 confirms the answer.

3 0
3 years ago
This probability distribution shows the typical distribution of pitches thrown to a batter in a given at bat in a baseball game.
Vikki [24]

Answer:

0.35

Step-by-step explanation:

This probability distribution is shown below:

Pitch                   1            2        3          4         5

Frequency         15         20      40        15        10

Probability         0.15     0.2      0.4      0.15      0.1

The probability that the pitcher will throw fewer than 3 pitches to a batter = P(X < 3)

X  is the number of pitches thrown. Therefore:

P(X < 3) = P(X = 1) or P(X = 2)

The additive rule pf probability states that if two events X and Y are dependent events, the probability of X or Y occurring is the sum of their individual probability.

P(X < 3) = P(X = 1) or P(X = 2) = P(X = 1) + P(X = 2) = 0.15 + 0.2 = 0.35

The probability that the pitcher will throw fewer than 3 pitches to a batter = 0.35

8 0
3 years ago
Elisa won 40 lollipops playing basketball at the school fair. She gave 2 to every student in her math class. she has at least 7
Cloud [144]
40/2=20 half is as many their is if she has lest of seven round to the highest num because they are all even numbers

4 0
3 years ago
Read 2 more answers
Write a sentence to answer each question:<br><br> How much warmer is 82 than 40?
Lostsunrise [7]

Answer:

82 is 42 degrees warmer than 40

Step-by-step explanation:

if you subtract 40 from 82, you get 42 meaning that the answer will be 42 degrees more than 40

8 0
3 years ago
33 more than the product of 7 and a number x is less than 26.
iogann1982 [59]
7x +33 < 26 isolate the term with a variable by subtracting 33
7x < -7 divide by 7
x < -1
6 0
3 years ago
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