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BartSMP [9]
3 years ago
7

Joe's gas tank is 1/4 full. After he buys 6 gallons of gas, it is 5/8 full. How many gallons can Joe's tank hold?

Mathematics
1 answer:
Korolek [52]3 years ago
3 0

Answer:

Amount of gas that can be hold by Joe's tank = 16 gallons.

Step-by-step explanation:

Given that Joe's gas tank is 1/4 full. After he buys 6 gallons of gas, it is 5/8 full. Now we need to find about how many gallons can Joe's tank hold.

So let's find change that happened after filling the gas.

Change = (5/8 full) - (1/4 full)

Change = (5/8 - 1/4)  full

Change = (5/8 - 2/8)  full

Change = (5 - 2)/8  full

Change = 3/8  full

So that means 3/8 full happens in 6 gallons

then 1 full will happen in 6/(3/8) gallons = 6*(8/3) gallons = 48/3 gallons = 16 gallons

So the amount of gas that can be hold by Joe's tank = 16 gallons.

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PIT_PIT [208]
Slope intercept form is y = mx+b, so you can see that you set the equation equal to y. So if the equation is 2y+3x=6, then you solve for y to put it in slope intercept form.
2y + 3x = 6
2y = -3x + 6
y = (-3/2)x + 3

Keep in mind that the term with the x has to be before the constant, so it can't be y = 3 -(3/2)x

And by the way m is the slope and b is y-intercept, so in <span>y = (-3/2)x + 3, -3/2 is slope and (0,3) is y-intercept</span>
3 0
3 years ago
henry has 68 miles to destination after 45 minutes and 51.5 miles to destination after 71 minutes of driving. How many miles to
Airida [17]
Let d represent the distance of the destination from the starting point.

After 45 min, Henry has already driven d-68 miles.  After 71 min., he has already driven d-51.5 miles.

So we have 2 points on a straight line:

(45,d-68) and (71,d-51.5).  Let's find the slope of the line thru these 2 points:

                                 d-51.5 - (d-68)         16.5 miles
slope of line = m = ----------------------- = ------------------
                                     71 - 45                   26 min

Thus, the slope, m, is   m = 0.635 miles/min

The distance to his destination would be d - (0.635 miles/min)(79 min), or 

d - 50.135 miles.  We don't know how far his destination is from his starting point, so represent that by "d."

After 45 minutes:  Henry has d - 68 miles to go;

After 71 minutes, he has        d - 51.5 miles to go; and

After 79 minutes, he has         d -  x miles to go.  We need to find x.

Actually, much of this is unnecessary.  Assuming that Henry's speed is 0.635 miles/ min, and knowing that there are 8 minutes between 71 and 79 minutes, we can figure that the distance traveled during those 8 minutes is

(0.635 miles/min)(8 min) = 5.08 miles.  Subtracting thix from 51.5 miles, we conclude that after 79 minutes, Henry has (51.5-5.08), or 46.42, miles left before he reaches his destination.




7 0
3 years ago
Can somebody help me. Will Mark brainliest.
Alex17521 [72]
I think the answer is 43.2 degrees
5 0
3 years ago
Find the midpoint between the points (7, -2) and (-4, 2). Write your answer in the proper form using parentheses
Elan Coil [88]

Answer:

( 1.5, 0)

Step-by-step explanation:

1. Find the coordinates ; in this case (7,-2) and (-4, 2)

2. Plug it into the formula (x1 + x2 ÷ 2 ) , (y1 + y2 ÷ 2)

3. ( 7 +  -4 ÷2) = 1.5    And    ( -2 + 2 ÷ 2) = 0

4. Therefore, the midpoint is ( 1.5, 0 )

                                         

3 0
2 years ago
ONLY ANSWER IF YOU KNOW THE ANSWER OR IF YOU ARE NIHHA :)) thanks
pishuonlain [190]

Answer:

8

Step-by-step explanation:

Let's just call the number x for simplicity.

So, 7x is 8 less than x².

Putting this into an equation would look like this

x² - 8 = 7x

It looks like we'll have to factor this to solve. Before we do that we need to move the 7x to the left side so that everything is together.

x² - 7x -8 = 0

Now, we can proceed. To factor we first need to find the factors of -8.

The factors of -8 are

-2 ⋅ 4, -4 ⋅ 2, -1 ⋅ 8, 1 ⋅ -8.

We need to find the pair of factors that adds up to -7. The only ones that do are -1 and 8.

So now that we have these we can create a pair of binomials using them. This will give us the factored form of this equation.

( x + 1 ) ( x - 8 )

To find the solutions we will have to set them to 0 and solve each of these binomials individually.

x - 1 = 0

x = 1

So, one of the solutions is 1. It's not the one we want, since it's positive.

x - 8 = 0

x = 8

This is the one we want since it is positive.

8 0
3 years ago
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