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777dan777 [17]
3 years ago
12

The figure shows a gas tank in the form of a rectangular prism that is 40% full. How many more gallons of gas will it take to fi

ll the tank? (1 gallon = 231 in.3)

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0

Answer:

10.8 gallons

Step-by-step explanation:

First change everything to inches:

2.75 ft = 33 in

1.5 ft = 18 in

Volume of tank = lwh = (33)(18)(7) = 4158 in³

The tank is 40% full, so only 60% is need to fill it. To find 60%, multiply 4158 by 0.6 = 2494.8 in³

Now find out how much 2494.8 in³ is in gallons:

231 in³ = 1 gallon

1 in³ = 1/231 gallons

2494.8 = (1/231)(2494.8) gallons = 10.8 gallons

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One endpoint of a line segment is at (6, 5). The line is bisected by placing the midpoint of the line segment at (1, 2). What ar
frez [133]
 coordinates of the other end point should be 5,-6 Its the only possible one
6 0
3 years ago
The length of a rectangle is 5 less than twice its width. Find the perimeter of this rectangle if its area is 273 yd2
Sladkaya [172]
Let the width be w.

Therefore we know that the length 2w - 5.

We know that area is A = w*l.

Therefore:

273 = w * (2w-5)

Now we can solve for the width.

273 = 2w^2 - 5w

2W^2 - 5w - 273 = 0
We can use the quadratic formula from here where a = 2, b = -5 and c = 273.
w =  \frac{-b \pm  \sqrt{b^2 -4ac} }{2a}

w = \frac{-(-5) \pm \sqrt{-5^2 -4(2)(-273} }{2(2)}
Solving this gives us the possible answers of 13 and - \frac{21}{2}. Since our width can't be negative, we know the answer is 13.
Next, we can plug 13 into the formula for area to find the length.
273 = 13*l
21 = l
We now know the width and length. Finally, the last thing to do is calculate the perimeter using the formula 2w + l2 = P

2(13) + 2(21) = P
26 + 42 = P
68 = P
So, the perimeter of the rectangle is 68 yards.
3 0
3 years ago
9. start from 110 feet away, a person on a bicycle rides towards a checkpoint and then it passes it. the rider is traveling at a
Zinaida [17]

Answer:

A. 2.3 sec and 5 sec

Step-by-step explanation:

We are given that start from 110 feet away, a person on a bicycle rides towards a checkpoint and then it passes it. the rider is traveling at a constant rate of 30 feet per second.

The distance between the bicycle and the checkpoint is given by the equation :

d=|110-30t|

Now we are required to calculate at what times is the bike 40 feet away from the checkpoint. So, substitute d = 40 in the equation

40=|110-30t|

40=110-30t     and    40= -110+30t

30t=110-40t     and   40+110=30t

30t=70               and   150=30t

t=\frac{70}{30}                   and   \frac{150}{30}=t

t=2.3                  and   5=t

Hence at 2.3 sec and 5 sec  the bike is 40 feet away from the checkpoint.

8 0
3 years ago
(10 + 3x) = 5x<br> Solve please
yanalaym [24]

Answer:

x=5

Step-by-step explanation:

10 +3x = 5x

Subtract 3x from each side

10+3x-3x= 5x-3x

10 =2x

Divide each side by 2

10/2 = 2x/2

5 =x

8 0
3 years ago
3. Tiffani has a baseball
Nimfa-mama [501]

Answer:

Tiffani has 182 cards left.

Step-by-step explanation:

Find one-third (1/3) of 273:

1/3 x 273 = 91

Therefore, she sells 91 cards.

273 - 91 = 182 cards left

Hope this helps :)

3 0
2 years ago
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