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Savatey [412]
3 years ago
8

Mr. Irvine and Mr. Babyak left in separate cars at the same time on the same road , to see the Nascar Race in Dover, Delaware. M

r. Irvine drove 77mi/h and Mr. Babyak drove 71 mi/h. In how many hours will they be 18 miles apart?
Mathematics
1 answer:
Nastasia [14]3 years ago
3 0

Answer:

In 3 hours, they will be 18 miles apart.

Step-by-step explanation:

Given that:

Speed of Mr. Irvine = 77mi/h

Speed of Mr. Babyak = 71mi/h

Distance to be apart = 18 miles

Let,

t be the time.

We will subtract the speeds as both the cars are driving in the same direction.

Distance = Speed * Time

18 = (77-71)t

18 = 6t

6t = 18

Dividing both sides by 6

\frac{6t}{6}=\frac{18}{6}\\t=3

Hence,

In 3 hours, they will be 18 miles apart.

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Daniel has $650 in his checking account. He would like to spend some of his money on a new Playstation 4 and a game. He wants to
d1i1m1o1n [39]

Answer:

The answer would be D t is less than or equal to 375

Step-by-step explanation:

Because he wants to save 275 and 275+375 is 650. so if he wants to save at least 275 he can only spend a max of 375.

3 0
3 years ago
What is the slope of this line? -2x + 3y =-6
valkas [14]

Answer:

Slope: 2/3

Step-by-step explanation:

You have to first write the equation into slope-intercept form...

y = mx + b

So...

-2x + 3y = -6

becomes...

3y = 2x - 6

y = 2/3x - 2

Which means...

2/3 is the slope

Hope this help :)

Let me know if there are any mistakes!!

4 0
3 years ago
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
the expression 5n+2 can be used to find total cost in dollars of bowling where n is the number of games bowled 2 represents the
exis [7]
So justsubsitue 3 for n
5(3)+2
15+2
17
answer is 17
3 0
4 years ago
Read 2 more answers
What is the common denominator 2 1/3+1/2?
nirvana33 [79]
Six. 2 1/3=7/3-> to get to have a denominator of 6 multiply by 2 to get 14/6
Then 1/2=3/6
14/6 + 3/6 = 17/6
17/6= 2 5/6
5 0
3 years ago
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