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lorasvet [3.4K]
3 years ago
10

An auto club drove a new hybrid car 442.4 miles. They refilled the gas tank with 10.2 gallons of gas. How many miles per gallon

did the hybrid car get? A. 4.33 B. 4.46 C. 43.37 D. 44.63
Mathematics
1 answer:
Aliun [14]3 years ago
3 0

Answer:

The correct answer is D. The hybrid car got 43.37 miles pero gallon.  

Step-by-step explanation:

To determine the number of miles traveled for each gallon of gasoline consumed by the car, the number of miles traveled must be divided by the number of gallons consumed.

Thus, if 442.4 miles were traveled and 10.2 gallons of gasoline were consumed, the following calculation should be performed:

442.4 / 10.2 = X

43.37 = X

Therefore, for every gallon consumed 43.37 miles were traveled.

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Sarah kicked a ball in the air. The function
Aleksandr-060686 [28]

Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

f=30 t- 6t^{2} (1)

Where f models the height of the ball in meters and t the time.

Now, let's find the time t when the ball Sara kicked hits the ground (this is when f=0 m):

0=30 t- 6t^{2} (2)

Rearranging the equation:

6t^{2}-30 t=0 (3)

Dividing both sides of the equation by 6:

t^{2}-5 t=0 (4)

This quadratic equation can be written in the form at^{2}+bt+c=0, and can be solved with the following formula:  

t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} (5)  

Where:  

a=1  

b=-5  

c=0  

Substituting the known values:  

t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(0)}}{2(1)} (6)  

Solving we have the following result:

t=5 s  This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0
3 years ago
When using a debit card: Question options: A:There are always fees. b:Identification is always required. c:You still need to rec
DIA [1.3K]

Answer:

D.

Step-by-step explanation:

Since this isn't a credit card, there are no interests or fees on a debit card, so A is incorrect. B is also incorrect. You only need identification when you are withdrawing or depositing at a bank, but purchases made in stores or online do not need your identification. You also don't need to record transactions in your checkbook (but it is recommend to keep track of purchases). Modern day technology already records transaction history and all you need to do is access it online.

D is correct because if someone steals your PIN for your debit card, they could go to stores and use that money. You can dispute charges and report to the bank if that happens.

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Law of Sines (please help!)
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3 years ago
What is the answer of three over five divide
snow_lady [41]

the answer would be 0.6 because the question said to divide 3 into 5


3 0
3 years ago
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