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
polet [3.4K]
4 years ago
13

The driver of the bus filled the gas tank with gas by putting in 21 gallon. If the gas gauge was at five-eighths before she fill

ed the tank, how many gallons does tank hold?
​
Mathematics
1 answer:
vazorg [7]4 years ago
8 0

Answer:

56 gallons

Step-by-step explanation:

When her gas tank is full, she has x gallons in the tank.

when she went to the gas station, she had (5/8) of x gallons of gas in her tank. she added 21 gallons into her tank, then she had x gallons in her tank.

(5/8)x + 21 = x

subtract x and 21 from both sides

(5/8)x - x = -21

factor out an x from the left side

x(5/8 - 1) = -21

simplify the parenthesis

x(-3/8) = -21

multiply both sides by -8/3

x= 56 gallons

You might be interested in
Divide 28 cans of soda into two groups so the ratio is 3 to 4
kaheart [24]
First, you add the two ratio numbers to figure out what to divide your 28 cans of soda by.

3=4=7
Next, you divide this amount into your total amount of cans of soda.

28/7=4.

This means that for each one in the ratio, there is 4 cans.  So you multiply both numbers in the ratio by 4.

3*4 = 12
4*4=16

So, your final answer is 12:16, or 12 cans of soda in one group, and 16 cans of soda in the other.
6 0
3 years ago
Jennifer has 3 1/2 cups of jelly beans to share with 7 friends how many cups does each person get
AfilCa [17]
Divide 3 1/2 by 7= 1/2 a cup per person
6 0
3 years ago
Read 2 more answers
A stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer. If the top laye
Svetlanka [38]

Answer:  The total number of logs in the pile is 6.

Step-by-step explanation:  Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two​ logs.

We are to find the total number of logs in the pile.

Let n represents the total number of logs in the pile.

Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with

first term, a = 32  and  common difference, d = -6.

We know that

the n-th term of an arithmetic sequence with first term a and common difference d is

a_n=a+(n-10)d.

Since there are n logs in the pile, so we get

a+(n-1)d=2\\\\\Rightarrow 32+(n-1)(-6)=2\\\\\Rightarrow 32-6n+6=2\\\\\Rightarrow 6n=36\\\\\Rightarrow n=6.

Thus, the total number of logs in the pile is 6.

6 0
3 years ago
The sum of 2 numbers is 10 the difference is 6 what are the numbers calculator
IgorLugansk [536]
8 & 2

8+2 = 10

8-2 = 6
3 0
4 years ago
If one quart is the same amount as 2 pints, how many are in 8 quearts?
Verizon [17]

Answer

16 pints

Step-by-step explanation:

its basically 8x2

6 0
3 years ago
Other questions:
  • What is 14 2/3 divided by 2 3/4
    8·2 answers
  • Which is greater,20 gallons or 80 liters?
    6·1 answer
  • function P(x) = x4 − x3 − 11x2 + 9x + 18. Describe to the CEO what the graph looks like and, in general, how to sketch the graph
    5·1 answer
  • Explain how you can use a model 4 x 1/3
    10·2 answers
  • A pot full of water weighs 2 kg (the total combined weight of the pot and the water). If we spill out 20% of the water, the weig
    11·1 answer
  • 20 Points! if pencils cost $2.40 for twelve, what is the unit price per pencil?<br>​
    14·1 answer
  • 4 2/3 = 5 − 1/3<br> true or false
    13·1 answer
  • Elliot invests 15000 in an investment certificate that pays 2% compounded annually. How much interest will he have earned in 2 y
    12·1 answer
  • Find the quotient of the following: f(x)=2x-5, g(x) 1-x
    10·1 answer
  • What is the ​ IQR ​ for the data set? {61, 70, 59, 55, 69, 59, 62} Drag and drop the correct answer into the box.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!