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
Tasya [4]
3 years ago
9

Your new car went 258 miles on 7.3 gallons of gasoline. How many miles per gallon is this? ​

Mathematics
1 answer:
nexus9112 [7]3 years ago
4 0
The car went about 35.34 miles per gallon.(How? Divide 7.3 into 257 and you got your answer.)
You might be interested in
Write as a single logarithm (show steps)
Effectus [21]
1/3  log 125 can be rewritten as (1/3) log 5^3 = log 5

Similarly, 1/3 log 8 can be re-written as 1/3  log 2^3, same as (1/3)(3 log 2)= log 2

Thus, the fraction can be written in simpified form as log 5  /  log 2.

The second term is the same as log m^5.

Thus, your final result is (log 5) / (log 2) + log m^5.
7 0
3 years ago
PLZ HELP! I need to turn this in urgently :))
zalisa [80]

Answer:

18

Step-by-step explanation:

The hypotenuse (longest side) = The 2 sides added together.

6 0
3 years ago
Read 2 more answers
Maximize: z=6x+7y
gayaneshka [121]

Answer:

So the (x,y) that gives us the maximum z=40 is (40/13 , 40/13).

The problem given:

Maximize: z=6x+7y with:

5x+8y\le 40

12x+y\le 40

x\ge 0

y\ge 0

Step-by-step explanation:

I like to solve for y when you have 2 variables in an inequality to tell where to shade.

5x+8y\le 40

Subtract 5x on both sides:

8y \le -5x+40

Divide both sides by 8:

y \le \frac{-5}{8}x+\frac{40}{8}

Simplify:

y \le \frac{-5}{8}x+5

The y-intercept is 5 and the slope is -5/8.

The line will be solid due to the =.

We will shade below the line since it says y is less than.

12x+y\le 40

Subtract 12x on both sides:

y\le -12x+40

The y-intercept is 40 and the slope is -12/1.

The line will be solid due to the =.

We will shade below the line since it says y is less than.

Since the y-intercept is so high, I'm also going to find the x-intercept so I can ignore the slope for now.

The x-intercept of 12x+y=40 is needed.

The x-intercept can be found be setting y=0 and solving for x:

12x+0=40

12x=40

Divide both sides by 12:

x=\frac{40}{12}

Reduce:

x=\frac{10}{3}.

Now for the other two inequality.

x=0 is a vertical line; in this case the vertical line is the y-axis.

y=0 is a horizontal line; in this case the horizontal line is x-axis.

So for x\ge you will shade to the right of x=0.

For y\ge you shade above y=0.

We are going to include line x=0 and y=0 by leaving them solid.  We are doing this to the equal sign.

Now let's see what we have on the graph.

The intersection of the shading is where you see all the different colors I use.

This is the part where we want to look at.

Let's identify the corners.

One is the purple line's y-intercept which was (0,5).

One is the origin.

The x-intercept of 12x+y=40 is also included which is at (10/3,0).

Where the green line and purple line cross is another.

We can find the intersection by solving the system:

12x+y=40

5x+8y=40

I'm going to do this by substitution.

Solve the top for y:

12x+y=40

Subtract 12x on both sides:

y=-12x+40

Now we can plug this into the other equation:

5x+8(-12x+40)=40

Distribute:

5x-96x+320=40

Combine like terms:

-91x+320=40

Subtract 320 on both sides:

-91x=40-320

Simplify:

-91x=-280

Divide both sides by -91:

x=-280/-91

Reduce by dividing top and bottom by -7:

x=40/13

We can find the y-coordinate by using y=-12x+40 along with x=40/13.

y=-12(40/13)+40

Put into calculator:

y=40/13

So they cross at (40/13,40/13).

So let's summarize what we have for the corner points:

(40/13 , 40/13)

(0,0)

(10/3,0)

(0,5)

Let's see where the maximum happens for z.

z=6(40/13)+7(40/13)=40

z=6(0)+7(0)=0

z=6(10/3)+7(0)=20

z=6(0)+7(5)=35

The highest number we got was 40.

So the (x,y) that gives us the maximum z=40 is (40/13 , 40/13).

8 0
3 years ago
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume o
LuckyWell [14K]
Can you help I have tried 4 times
7 0
3 years ago
PLEASE EXPLAIN and Help me solve this<br> thank you!!!
Nina [5.8K]

Answer:

it could be drawn using maths

3 0
3 years ago
Other questions:
  • Bernie's car used 100 cups of gasoline during a drive he paid 3.12 per gallon for gas how much does it gas cost
    5·1 answer
  • Please show work n help
    6·1 answer
  • Write the equation of the circle with center (2, -3) and a radius of 4. A) (x + 2)2 + (y - 3)2 = 4 Eliminate B) (x - 2)2 + (y +
    7·1 answer
  • Find the area of the triangular pyramid, then put the area in square inches
    14·1 answer
  • Question 13 (Multiple Choice Worth 1 points)
    9·2 answers
  • How many factors for 25
    8·2 answers
  • Hii, so this was one of the questions on a previous CSAT exam (korean sat). I was curious and decided to look at a few questions
    14·1 answer
  • An airplane is traveling at a speed of 60 meters per second. Identify the correct conversion factor setup required to compute th
    10·1 answer
  • ASAP Can someone plz help me
    12·2 answers
  • Please help multiple choice ( links = report )
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!