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
seraphim [82]
3 years ago
6

25. A car traveled 324 miles on 54 gallons of gas.

Mathematics
1 answer:
NeTakaya3 years ago
5 0

Answer:

31 gallons of gas are needed to travel 186 miles

Step-by-step explanation:

Well since it took 54 gallons of gas to travel 324 miles you would divide 324 by 54 to find out how many miles could go into each gallon which would be 6 miles per gallon of gas so you would know that 186 divided by something would be 6 so you would do 186 divided by 6 instead to find the answer. So 31 gallons of gas are needed to travel 186 miles.

324/54 = 6

186/? = 6

186/6 = 31

You might be interested in
Can you answer this question as soon as possible.
Whitepunk [10]

Answer:

The intensity of the first earthquake is 6.31 times the second one

Step-by-step explanation:

The given formulae is M=log(\frac{I}{S})

Here for both the earthquakes the value of S is same.

Let the Intensity of the first earthquake be I1 and the second be I2.

Given M1=7.5

M2=6.7

Now  M1=log(\frac{I1}{S})------1

M2=log(\frac{I2}{S})-----2

Now subtract 1 and 2 we get

M1-M2=log(\frac{I1}{I2})

I1/I2=10^{M1-M2}

I1=I2(10^{0.8}

I1=I2*6.31

6 0
3 years ago
The point ( -6 , 8 ) is reflected across the y axis. What is the coordinates of the reflection
Digiron [165]

The new coordinations would be (6,8)

6 0
3 years ago
Read 2 more answers
Why should you record a one in the tens column when regrouping in addition?
ICE Princess25 [194]
To keep the place holder
5 0
3 years ago
What is the first step when applying properties of operations to divide 73.85 by 4.1?
Alchen [17]

Answer:

B. Multiply the divisor and dividend by 100.

Step-by-step explanation:

Multiply by 100 to get rid of the decimal

5 0
3 years ago
Line segment 19 units long running from (x,0) ti (0, y) show the area of the triangle enclosed by the segment is largest when x=
Debora [2.8K]
The area of the triangle is

A = (xy)/2

Also,

sqrt(x^2 + y^2) = 19

We solve this for y.

x^2 + y^2 = 361

y^2 = 361 - x^2

y = sqrt(361 - x^2)

Now we substitute this expression for y in the area equation.

A = (1/2)(x)(sqrt(361 - x^2))

A = (1/2)(x)(361 - x^2)^(1/2)

We take the derivative of A with respect to x.

dA/dx = (1/2)[(x) * d/dx(361 - x^2)^(1/2) + (361 - x^2)^(1/2)]

dA/dx = (1/2)[(x) * (1/2)(361 - x^2)^(-1/2)(-2x) + (361 - x^2)^(1/2)]

dA/dx = (1/2)[(361 - x^2)^(-1/2)(-x^2) + (361 - x^2)^(1/2)]

dA/dx = (1/2)[(-x^2)/(361 - x^2)^(1/2) + (361 - x^2)/(361 - x^2)^(1/2)]

dA/dx = (1/2)[(-x^2 - x^2 + 361)/(361 - x^2)^(1/2)]

dA/dx = (-2x^2 + 361)/[2(361 - x^2)^(1/2)]

Now we set the derivative equal to zero.

(-2x^2 + 361)/[2(361 - x^2)^(1/2)] = 0

-2x^2 + 361 = 0

-2x^2 = -361

2x^2 = 361

x^2 = 361/2

x = 19/sqrt(2)

x^2 + y^2 = 361

(19/sqrt(2))^2 + y^2 = 361

361/2 + y^2 = 361

y^2 = 361/2

y = 19/sqrt(2)

We have maximum area at x = 19/sqrt(2) and y = 19/sqrt(2), or when x = y.
3 0
3 years ago
Other questions:
  • Find the coordinates of the vertices of a triangle after a 90 degree rotation counterclockwise about the origin.
    5·1 answer
  • What is the answer to 1.75g x 1000mg/1g?
    13·1 answer
  • Rewrite the equation in standard form:<br><br> y = 3/4x - 10
    14·2 answers
  • Are these questions done correctly?
    15·1 answer
  • The NASA Space Shuttle transports material to the International Space Station at a cost of $22,000 per kilogram. What is the num
    8·2 answers
  • What does slope mean in math?What does slope mean in math?
    15·2 answers
  • Subtract:
    9·2 answers
  • PLEASE HELP BEST ANSWER GETS BRAINLIEST
    9·1 answer
  • What is the circumference of a circle with a radius of 6 meters?
    9·1 answer
  • List all the factors of 45 from least to greatest<br> om te onareto nech factor
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!