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lesya [120]
3 years ago
14

Diego's family truck holds 21 gallons of fuel. Each day the car uses 1.5 gallons of fuel. A warning light comes on when the rema

ining fuel is 2.5 gallons or less. Starting from a full tank, can Diego's family drive the car for 10 days without the warning light coming on? Explain or show your reasoning. Starting from a full tank, can Diego's family drive the car for 15 days without the warning light coming on? Explain or show your reasoning. Diego says the expression 21 - 1.5t helps him understand this situation. In this situation, what does this expression represent, and what does the variable t stand for? Write and solve an equation to determine the number of days Diego's father can drive the car without the warning light coming on. Write and solve an inequality that represents the number of days driven without the warning light coming on. Explain clearly what the solution to the inequality means in the context of this situation
Mathematics
1 answer:
otez555 [7]3 years ago
4 0

Answer:

The inequality is 0.6x < 12.5

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

Step-by-step explanation:

14 gallons-1.5 gallons=12.5 gallons    

we know that  

If the remaining fuel is greater than  1.5 gallons Diego's father can drive the car without the warning light coming on    

so  

Let  

x ----> the number of days

0.6x < 12.5 inequality that represent the situation  

Solve for x

x < 12.5/0.6

x < 20.8 days

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

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Pls help, 20 points!!
klemol [59]

Answer:

(-18,9)

Step-by-step explanation (work shown in picture attached):

1) The first step in solving by substitution is to isolate the y-term in one of the equations if it is not already isolated. Isolate y in the first equation by dividing both sides by -2. This leaves us with the equation y = \frac{-x}{2}

2) Now, substitute \frac{-x}{2} for the y in the second equation. Simplify and isolate x. (You can multiply everything by -2 to get rid of the fraction.) This leaves us with x = -18.

3) We've found the x-value of the solution, -18. Now, substitute -18 for x back into one of the original equations (I chose the first one because it was simple) and isolate y. This gives us y = 9. Thus, in point form, the answer is (-18,9).

7 0
3 years ago
Find the missing side length… please help
My name is Ann [436]

Answer:

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7 0
3 years ago
Jeffrey's brother max is 5 years older than twice Jeffrey's age. Write an expression that represents the relationship of Max's a
Illusion [34]
Jeffrey = J
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M = 2j + 5
4 0
3 years ago
Fabio is driving west away from Albany and towards buffalo along interstate 90 at a constant rate of speed of 62 miles per hour.
emmasim [6.3K]

Answer:

The distance between Albany and Buffalo along the I90 is 288.8 mi.

The speed of Fabio is 62 mph.

After 1.5 hours, he is 221 miles from Albany.

Things we can calculate here:

Using the relation:

Distance = time*speed.

We can calculate the number of miles that he moved in that 1.5 hours.

D = 62mph*1.5h = 93mi.

If after 1.5 hours, he was 221 miles Albany, then before that he was 93 miles closer to Albany.

His initial position was:

221 - 93 = 128 miles away from Albany.

Now we also can calculate the time left to arrive at Buffalo.

We know that the distance between Albany and Buffalo is 288.8 mi

And he is 221 mi away from Albany.

Then the distance left to Buffalo is:

288.8mi - 221mi = 67.8mi

And the time left will be:

Distance/speed = time

67.8mi/62mph = 1.1 hours.

He needs to drive for another 1.1 hours to get to Buffalo.

7 0
3 years ago
PLEASE ANSWER THIS... WILL VOTE FOR U
Degger [83]

The answer is g(x) = (1/4 x)^2

It has a horizontal stretch of 4. Since it is horizontal it goes inside the parentheses and becomes the reciprocal of 4  which is  1/4

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3 years ago
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