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ICE Princess25 [194]
3 years ago
6

Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up

0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after t hours?
Mathematics
1 answer:
DENIUS [597]3 years ago
4 0

Answer:

a. 8 gallons

b. (11-0.75t) gallons

Step-by-step explanation:

a. Here in this question, we are told that the total amount of fuel in the fuel tank is 11 gallons and the car consumes 0.75 gallon per hour. We are interested in knowing the amount of fuel left in the tank after driving for four hours.

We proceed as follows;

Since 0.75 gallon is consumed in an hour, the amount of fuel consumed in 4 hours would be the amount consumed in an hour * 4 hours

Mathematically, that would be 0.75 * 4 = 3 gallon

Now, the amount of fuel left is simply the difference between the initial amount of fuel in the tank minus the amount of fuel present after 4 hours.

That would be; 11 - 3 = 8 gallons

b. Like above, we want to know the amount of fuel left after t hours.

Since 0.75 is used up per hour, the amount used up in t hours would be 0.75 * t = 0.75t

Now, the amount of fuel that would be left in the tank would be the difference between what we had initially and what was used up.

Mathematically, that would be 11- 0.75t

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Number 15. Find the equation of the line that passes through (3,-1) and is perpendicular to the line that passes through (-5, 2)
MArishka [77]
For lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:

m1*m2=-1

So we first need to find the slope of the reference line.

m=(y2-y1)/(x2-x1)=(7-2)/(-1--5)=5/4

So the perpendicular line will have a slope of:

5m/4=-1

m=-4/5

So our perpendicular line so far is:

y=-4x/5+b, now we can use point (3,-1) to solve for the y-intercept, "b"

-1=-4(3)/5+b

-1=-12/5+b

-5/5+12/5=b

7/5=b

So the line is:

y=-4x/5+7/5 or more neatly

y=(-4x+7)/5

y=-0.8x+1.4
3 0
3 years ago
The range of the function RK) = R +26+1 İS {25, 643. What is the function's domain?
frozen [14]

Answer:

A

Step-by-step explanation:

hope this helped! please let me know if im wrong

4 0
3 years ago
Read 2 more answers
I think it’s b but I’m not sure
laila [671]
No, its D

Just look at the rounds mentioned and subtract the scores from higher round with lower round.

Look at A: round 2 score - round 1 score = -2?
-3 -1 = -4 change, not -2 change so it is wrong

Look at B: round 3 score - round 1 score =-1?
-2-1 =-3 change, not -1 change so it is wrong

Look at C: round 3 score - round 2 score =-1?
-2 -(-3) = 1 change, not -1 change so it is wrong

Look at D: round 3 score - round 1 score =-3?
-2-1 = -3 change, matches with -3 so it is correct.
3 0
2 years ago
I NEED ANSWER ASAP! I HAVE A LOT OF POINTS, I WILL GIVE 50 POINTS AND BRAINLIEST TO FIRST ANSWERRRRRR!
Mekhanik [1.2K]

Answer:

A) A = 1; B = 0; C = 20

Step-by-step explanation:

The standard form for a quadratic is

Ax^2 +Bx +C=0

We are given

1/4x^2 + 5 = 0

Rewriting

1/4x^2 +0x+ 5 = 0

A = 1/4  B=0 C=5

We can multiply each side by 4

4(1/4x^2 +0x+ 5) = 0*4

x^2 +0x+ 20 = 0

A = 1  B=0 C=20

7 0
3 years ago
Read 2 more answers
It costs a publishing company $0.55 to print one copy of a certain novel. This company paid $725,000 for the rights to the novel
Dmitrij [34]

Answer:

The correct answer is b. 116,900

The publishing company must sell 116,900 copies of the book to break even.

Step-by-step explanation:

Each book costs 0.55 to make and the company can sell it at 6.75, which means that the company earns 6.20 from each book, this is called the net value. If you divide the amount htat the company paid for the rights by the net value you can find the total number of copies that the company has to sell to break even.  

# books = $725,000/$6.20 = 116935 or approximately 116900 copies of the book.

8 0
3 years ago
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