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
trapecia [35]
4 years ago
12

It took 12 gallons of gas to fill the tank of the family car. This is five sixths of the amount the tank can hold. How much gas

does the tank hold?
Mathematics
1 answer:
WINSTONCH [101]4 years ago
7 0
We know 12 gallons is 5/6, so there was some in the car already, the whole tank will be 6/6 or one whole.

if 12 is 5/6, how much is 6/6, or the whole thing?

\bf \begin{array}{ccll}
gallons&tan\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
12&\frac{5}{6}\\\\
g&\frac{6}{6}
\end{array}\implies \cfrac{12}{g}=\cfrac{\quad \frac{5}{6}\quad }{\frac{6}{6}}\implies \cfrac{12}{g}=\cfrac{5}{6}\cdot \cfrac{6}{6}\implies \cfrac{12}{g}=\cfrac{5}{6}
\\\\\\
72=5g\implies \cfrac{72}{5}=g\implies 14\frac{2}{5}=g
You might be interested in
George has two dogs.
Stella [2.4K]
Uhhhhhhhhhhhhhhhhhhhhhhhh
7 0
3 years ago
Read 2 more answers
Which of the following circles have their centers in the second quadrant? Check all that apply.
ivann1987 [24]
The given circles are given in standard form:
(x - xc)² + (y - yc)² = r²

The second quadrant is the one that has negative x coordinates and positive y coordinates.

This said, let's see all your options:
A) (x - 5)² + (y - 6)² = 25
xc = -(-5) = +5
yc = -(-6) = +6
C (5 , 6) is in the first quadrant.

B) (x + 1)² + (y - 7)² = 16
xc = -(+1) = -1
yc = -(-7) = +7
C (-1 , 7) is in the second quadrant.

C) (x - 4)² + (y + 3)² = 32
xc = -(-4) = +4
yc = -(+3) = -3
C (4, -3) is in the fourth quadrant.

<span> D) (x + 2)² + (y - 5)²= 9</span>
xc = -(+2) = -2
yc = -(-5) = +5
C (-2 , +5) is in the second quadrant.

Therefore, the correct answers are B and D.
7 0
3 years ago
SURFACE AREA HELP ASAP!!
Norma-Jean [14]

Answer:

Step-by-step explanation:

can you get a bigger picture pls

6 0
3 years ago
Read 2 more answers
1. Does the following function represent exponential growth or decay?
svp [43]

Answer:

B - Decay

Please make my answer the brainliest!

Step by step explanation:

7 0
3 years ago
An absentminded professor does not remember which of his 12 keys will open his ocedoor. Suppose he tries them at random and with
kipiarov [429]

Answer: 0.0052

Step-by-step explanation:

Total number of times experiment was performed (n)= 12

Probability of the event (that one key out of a total of 12 opens the door) = 1/12 = 0.083

Hence, p = 0.83

q = 1 - p = 11/12 = 0.917

x = 3

Since the experiment was performed n number of times, a binomial probability distribution can defined the experiment.

P(x=r) = nCr ×p^r × q^n-r

P(x=3) = 12C3 × (0.083)⁴ × (0.917)^8

P(x=3) = 220 × (0.083)⁴ × (0.917)^8

P(x=3) = 0.0052

8 0
3 years ago
Other questions:
  • If f(x)=4x+9+2, which inequality can be used to find the domain of f(x
    7·1 answer
  • A graph has a constant of proportionality of 7.2. Let y represent minutes and x represent miles.
    7·1 answer
  • Why is the - sin of x the same as the sin of -x?
    7·1 answer
  • For every 14 ice-cream cones you buy, you get 2 free. How many free ice-cream cones will you get if you buy 56 cones?
    12·1 answer
  • HELPPPPPP ME PLEASE. :P
    13·1 answer
  • Can i have some help please best answer gets brainiest!
    7·2 answers
  • Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. Here are th
    14·1 answer
  • Find the volume: 8 cm 20 cm 12 cm <br>Answers: 960 cm 1920 cm 3 960 cm 2 240 cm​
    6·2 answers
  • To find the quotient of 407.26 and 1,000, move the decimal point in 407.26
    6·2 answers
  • Factor 42x+28y using the GCF
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!