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Serjik [45]
3 years ago
5

Kimberly drives at a rate of 50 miles per hour on her trip across the country. If it takes Kimberly 200 gallons of gasoline to d

rive 500 miles, how many minutes will it take her to use x gallons of gasoline if she uses gasoline at the same average rate of consumption?
Mathematics
1 answer:
icang [17]3 years ago
6 0

Answer:

  3x minutes

Step-by-step explanation:

Kimberly desperately needs a more fuel-efficient vehicle. Her usage rate is ...

  (50 mi/h)(200 gal)/(500 mi) = 20 gal/h = 20 gal/(60 min) = 1/3 gal/min

Using gasoline at the rate of 1/3 gal/min, her time for x gallons is ...

  (x gal)/(1/3 gal/min) = 3x min

It will take 3x minutes for Kimberly to use x gallons at the same rate.

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Find f(2) if f(x)=2x+1
IgorLugansk [536]
Answer: 5

Work Shown:
f(x) = 2x+1
f(2) = 2*2+1 ... x has been replaced with 2
f(2) = 4+1
f(2) = 5
The input is x = 2. The output is y = 5. 
3 0
3 years ago
SV is a midsegment of △RTU.<br> If TU=y+38 and SV=y–9, what is the value of y?
pav-90 [236]

Answer:

y = 56

Step-by-step explanation:

the midsegment SV is half the length of the side TU , that is

y - 9 = \frac{1}{2} (y + 38) ← multiply both sides by 2 to clear the fraction

2y - 18 = y + 38 ( subtract y from both sides )

y - 18 = 38 ( add 18 to both sides )

y = 56

8 0
2 years ago
Complete the factoring: <br><br> 5x^2-40x=5x( )<br><br> A) x-8 B)8-x C)x^2-8 D) 8-x^2
dolphi86 [110]

Answer:

A) x-8

Step-by-step explanation:

\mathsf{5x^2-40x=5x(x-8)}

because

\mathsf{5x(x-8)=5x\cdot x-5x\cdot8=5x^2-40x}

4 0
3 years ago
Joe owns a stock which has probability .5 of going up. This morning, he bought a ticket in a lottery game which gives him a prob
Anit [1.1K]

Answer:

The probability that Joe's stock will go up and he will win in the lottery  is 0.00005.

Step-by-step explanation:

Let the events be denoted as:

<em>X</em> = the stock goes up

<em>Y</em> = Joe wins the lottery

Given:

P (X) = 0.50

P (Y) = 0.0001

The events of the stock going up is not dependent on the the event of Joe winning the lottery.

So the events <em>X</em> and <em>Y</em> are independent of each other.

Independent events are those events that can occur together at the same time.

The joint probability of two independent events <em>A</em> and <em>B </em>is,

P(A\cap B)=P(A)\times P(B)

Compute the value of P (<em>X ∩ Y</em>) as follows:

P(X\cap Y)=P(X)\times P(Y)=0.50\times 0.0001=0.00005

Thus, the probability that Joe's stock will go up and he will win in the lottery  is 0.00005.

3 0
3 years ago
Read 2 more answers
5/6(-4 1/2)(-2 1/5) what is the answer
Goshia [24]

Answer:

8.25 is the answer.

Step-by-step explanation:

Hope this helps!

8 0
3 years ago
Read 2 more answers
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