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
Elan Coil [88]
3 years ago
11

Janet's car will go 462 miles on 16.5 gallons of gas. How many miles will it take to drive 2719 miles

Mathematics
1 answer:
ololo11 [35]3 years ago
7 0
2719/462 x 16.5 = 97.10714gallons which is approximately 97 gallons.
You might be interested in
3^x= 3*2^x solve this equation​
kompoz [17]

In the equation

3^x = 3\cdot 2^x

divide both sides by 2^x to get

\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3

Take the base-3/2 logarithm of both sides:

\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}

Alternatively, you can divide both sides by 3^x:

\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13

Then take the base-2/3 logarith of both sides to get

\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}

(Both answers are equivalent)

8 0
3 years ago
2 cubed x what x 5 = 120 <br><br>please i really need help
marin [14]

Answer:

2x3x5=120

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
cestrela7 [59]

the answer is 1/10 :))))))))

7 0
2 years ago
Read 2 more answers
Marissa is baking cookies to bring to school and share with her friends on her birthday the recipe requires three eggs for every
nadezda [96]
The answer is 9 eggs
7 0
3 years ago
Which statements are true?
meriva

Answer:

All rhombuses are rectangles. False

All parallelograms are quadrilaterals. True

All squares are rhombuses. True

All rectangles are squares. False

4 0
3 years ago
Other questions:
  • Write 27 : 28 as a ration in its simplest form
    14·2 answers
  • Add polynomials: (3-4x + 8x^2) + (-6 + 2x - 5x^2)
    9·1 answer
  • I really need help with this problem...."Arliss has two pieces of carpet runner. One is 2 1/3 yards long and the other is 3 1/3
    9·1 answer
  • QUICK QUICK ANSWER FIRST WITH AN EXPLANATION AND ANSWER YOU WILL GET THE CHANCE TO BE THE BRAINLIEST WITH AN BONUS/EXTRA POINTS
    14·1 answer
  • Colby has 16 jars of spices. He wants to arrange them in arrays what arrays could he use to arrange them?
    7·1 answer
  • Find the vertical distance between the two points !!!!! Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
    13·1 answer
  • PLEASE HELP 100 POINTS<br> write an equation of the horizontal line that passes through (-7,-10)
    10·2 answers
  • Which of the following are needed to make an expression
    11·2 answers
  • 4.5 - d &gt; 2.5 substitute 2.5 for d
    13·1 answer
  • Ava owns a small business selling clothing. She knows that in the last week 34
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!