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
Sav [38]
3 years ago
5

Hong rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 90 cents for each mile dr

iven. Hong had to pay $285.55 when he returned the truck. For how many miles did he drive?
Mathematics
1 answer:
Goryan [66]3 years ago
5 0

Answer: Hong drove the truck for 294 miles.

Step-by-step explanation:

Let m represent the number of miles for which he drove the truck.

There was a base fee of $20.95, and there was an additional charge of 90 cents for each mile driven. It means that the expression for the cost of driving the truck for m miles in a day is

20.95 + 0.9m

Hong had to pay $285.55 when he returned the truck. It means that

20.95 + 0.9m = 285.55

0.9m = 285.55 - 20.95

0.9m = 264.6

m = 264.6/0.9

m = 294 miles

You might be interested in
If f(5) and the equation is f(x)=x to the2nd power +2x
scoundrel [369]
The answer would be 35
5 0
3 years ago
Segment PH is graphed on the coordinate grid where P is (-31,8) and H is (29,-10). Point E is the midpoint of segment PH. If poi
maks197457 [2]

Answer:

The coordinates of point A are (-11 , 2)

Step-by-step explanation:

- The coordinates of point P are (-31 , 8)

- The coordinates of point H are (29 , -10)

- Point E is the mid-point of segment PH

- The coordinates of the the mid-point are:

→ x=\frac{x_{1}+x_{2}}{2} and y=\frac{y_{1}+y_{2}}{2}

∵ E is the mid-point of segment PH

∴ The x-coordinate of point E is x=\frac{-31+29}{2}=-1

∴ The x-coordinate of point E is -1

∴ The y-coordinate of point E is y=\frac{8+-10}{2}=-1

∴ The y-coordinate of point E is -1

∴ The coordinates of point E are (-1 , -1)

- Point A is graphed \frac{2}{3} of the way along the segment from P to E

- That mean the distances from points P to A is 2 parts and from P to E

  is 3 parts, then the distance from A to E is "3 - 2" = 1 part

- So point A divides the line segment PE at ratio 2 : 1 from P

- The coordinates of the division point are:

→ x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}} and y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}

∵ Point A divides PE at ratio 2 : 1

∵ The coordinates of point P are (-31 , 8)

∵ The coordinates of point E are (-1 , -1)

∴ The x-coordinate of point A is x=\frac{(-31)(1)+(-1)(2)}{2+1}= -11

∴ The x-coordinate of point A is -11

∴ The y-coordinate of point A is x=\frac{(8)(1)+(-1)(2)}{2+1}=2

∴ The y-coordinate of point A is 2

∴ The coordinates of point A are (-11 , 2)

* The coordinates of point A are (-11 , 2)

3 0
3 years ago
Can someone answer this for me? I don’t understand how to do i.
LiRa [457]
These are the steps good luck

7 0
2 years ago
A) The sum of −3x+5 and 7−4x is subtracted from 5x+17.
AlekseyPX
A. -3x+5+7-4x 
  -3x-4x+5+7 
-7x+12 

-7x+12-5x+17 
-7x-5x+12+17
-12x+29

B. -5*(x+2)= -5x-10
-6x-1+ (-5x-10)= -6x-5x-1-10=
  -11x-11

8 0
3 years ago
Solve for b.<br><br> b + -78 = 10
love history [14]
The answer is b=88

Hope this helped!

3 0
3 years ago
Other questions:
  • Write as a product of two polynomials <br> a) 3a(2x–7)+5b(7–2x)<br> b) (x–y)^2–a(y–x)
    5·1 answer
  • Question 9
    10·1 answer
  • Oose the situation which would best be modeled by an exponential decay function.
    15·1 answer
  • PLEASE HELP ME WITH THIS FAST FOR BRAINLIEST!
    13·1 answer
  • Complete the paragraph proof. We are given that Ray E B bisects ∠AEC. From the diagram, ∠CED is a right angle, which measures de
    8·2 answers
  • Is (4,2) a solution of the system?
    14·2 answers
  • 0.9, 0.99, 0.09, 0.91, from least to greatest
    7·1 answer
  • Yen paid $10.50 for 2.5 pounds of pretzels what price did she pay for each pound pretzels?​
    7·2 answers
  • Under certain conditions the pressure of a gas varies directly with the temperature. When the pressure is 900 psi, the temperatu
    13·1 answer
  • Can you answer at least one
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!