1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lubov Fominskaja [6]
3 years ago
11

A large truck has two fuel tanks, each with a capacity of 150 gallons. Tank 1 is half full, and Tank 2 is empty.

Mathematics
1 answer:
12345 [234]3 years ago
8 0

Answer:

1) G(t) = 75 + \frac{23}{4}t\\

2) After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

Step-by-step explanation:

1) For generating the equation we have to take into account that in the tanks there is a initial volume of fuel that corresponds to 75 gallons, as it is stated that tank one is half full. As the capacity for tank 1 is of 150 gallons, half of the tank equals to:

\frac{150}{2} = 75 gallons

Now we have to convert the rate of delivery that is expressed as a mixed number to an improper fraction so:

5\frac{3}{4} = \frac{(5x4)+3}{4} = \frac{23}{4}

Then the pumping rate is of 23/4 gallons per minute, to get how many gallons are in the tank we just need to multiply this rate by the time in minutes, and as there is an initial volume we have to add it, so we have the following equation:

G(t) = 75 + \frac{23}{4}t\\

2) To know how much fuel is in the tank after 8 minutes we have to replace this time in the previous equation so we have

G(t) = 75 + \frac{23}{4}t\\G(8) = 75 + \frac{23}{4}(8)\\G(8) = 75 + 23(2)\\G(8) = 75 + 46\\G(8) = 121 gallons

After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

You might be interested in
Find 3/8 of 56. <br><br> Plz help
gavmur [86]

Answer: 21

Step-by-step explanation:

56/8= 7

7*3= 21

7 0
3 years ago
Add and Subtract Fractions with unlike denominators
Alex17521 [72]

Answer:

2 1/6

Step-by-step explanation:

2/3+2/4=8/12+6/12=14/12=1 2/12=1 1/6

1 1/6+1=2 1/6

7 0
3 years ago
Read 2 more answers
Expand <br> (–5a^2+2a+3)(4a^2–2a+1)
fiasKO [112]

Answer:

Step-by-step explanation:

a • (a - 2) • (2a - 1)

6 0
3 years ago
HELPP
Harrizon [31]

Answer:

Step-by-step explanation:

Alright, lets get started.

Lets find slope for both bikes one by one

For bike 1 :

There are two points on the graph of Bike 1, these two points are (2,3) and (4,6)

So the slope for bike 1 is : \frac{y_{2}-y_{1} }{x_{2}-x_{1} }

So the slope for bike 1 is : \frac{6-3}{4-2}

So the slope for bike 1 is : \frac{3}{2}

For bike 2 :

There are two points on the graph of Bike 2, these two points are (4,5) and (8,10)

So the slope for bike 2 is : \frac{y_{2}-y_{1} }{x_{2}-x_{1} }

So the slope for bike 2 is : \frac{10-5}{8-4}=\frac{5}{4}

Hence Bike 1 will win the race as slope of line bike1 is greater than slope of line bike 2.  So, answer is option D


3 0
3 years ago
Read 2 more answers
The package shown is shaped like a right rectangular prism. Every side of the package will be covered with gift wrap, except the
Alexxandr [17]
<span> three-dimensional figure has length, width, and height. A face is a flat </span>side<span>. A vertex is .... Describe the faces edges and vertices of </span>each<span> three dimensional ... Vera's closet is </span>in the shape of<span> a </span>rectangular prism<span>. ... You </span>can<span> draw different views of three-dimensional figures. .... How </span>many square<span> millimeters of</span>wrapping paper<span>.</span>he amount of wrapping paper needed<span> to </span>cover<span> the figure represents its surface area. To find the surface area, you calculate the area of </span>each<span> face or </span>side<span> ... where SA = surface area, </span>l<span> = length, </span>w<span> = width, and </span>h<span> = height. ... the surface area of this </span>prism<span> is 158 </span>square inches<span>.  

</span>
6 0
3 years ago
Other questions:
  • From 8 and 3 which is greater
    6·2 answers
  • The answer for this question is 24
    11·1 answer
  • If 25% of a number is 100, what is the number?<br> a) 50<br> b) 100<br> c)150<br> d) 200<br> e) 400
    5·1 answer
  • Write each decimal in words. 4. 0.8 5. 400.29 6. 0.0306
    15·1 answer
  • (4,4) and (-2,-2) round to the nearest tenth
    7·1 answer
  • Two families stayed at the same hotel in identical rooms. The first family stayed for 5 nights and paid extra to use a rollaway
    12·1 answer
  • -1/3 multiplied by 1/4
    8·1 answer
  • 6+t=1 pls help.............
    9·2 answers
  • Which expression is equivalent to the following complex fraction?
    9·1 answer
  • What is the m I’m not sure on what this means?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!