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
Will give brainliest to correct answer! Given that cos Ф=-8/17 and sin Ф is negative, determine the value of tan Ф.
Kipish [7]

Answer: option 3 is the correct answer

Step-by-step explanation:

Let us look at the various trigonometric ratios

Sin Ф = opposite side/ hypotenuse

Cos Ф = adjacent side / hypotenuse

Tan Ф = opposite side / adjacent side

Therefore, tan Ф = sin Ф / cos Ф

This means that if cos Ф=-8/17 and sin Ф is negative, then the hypotenuse is negative

To determine the adjacent side, we will apply Pythagoras theorem

Hypotenuse ^2 = opposite ^2 + adjacent ^2

-17^2 = 8^2 + adjacent^2

adjacent^2 = 289 - 64 = 225

adjacent = √225 = 15

tan Ф = 8/15

5 0
3 years ago
Write a sentence to represent the equation 4m = -8.
Fittoniya [83]

Four times a number is equal to negative eight.

4 0
3 years ago
Read 2 more answers
Find the slope of the line through the points (0,2) and (5,-3)
andriy [413]
Slope formula is y2-y1/x2-x1.

Using this, we can say that -3 – 2/5 – 0=

1.
8 0
3 years ago
Read 2 more answers
Triangle ABC is dilated with a center at the origin and a scale factor of 2. What are the coordinates of triangle A’B’C’?
Vaselesa [24]
Well as it looks like to me the cords of the a,b,c are 2,3,1
8 0
3 years ago
Which of the following functions f : {0, 1, 2, 3} ! {0, 1, . . . , 7} are one-to-one?
allsm [11]

Answer:

1. No.

f(0)=0\\1^2=1; \text{then } f(1)=1\\2^2=4\equiv 4 \text{ mod 8}; \text{then } f(2)=4\\3^2=9\equiv 1 \text{mod 8 }; \text{then } f(3)=1

Since f(1)=f(3) and 1\neq 3 then f isn't one-to-one.

2. No

f(0)=0\\1^3=1\equiv 1\text{ mod 8}; \text{then } f(1)=1\\2^3=8\equiv 0\text{ mod 8}; \text{then } f(2)=0\\3^3=27\equiv 3 \text{ mod 8}; \text{then } f(3)=3

Since f(0)=f(2) and 0\neq 2 then f isn't one-to-one.

3. No

0^3-8=-8\equiv 0\text{ mod 8}; \text{then } f(0)=0\\1^3-8=-7\equiv 1\text{ mod 8}; \text{then } f(1)=1\\2^3-8=0\equiv 0 \text{ mod 8}; \text{then } f(2)=0\\3^3-8=27-8=19\equiv 3 \text{ mod 8}; \text{then } f(3)=3\\

Since f(0)=f(2) and 0\neq 2 then f isn't one-to-one.

4. Yes

0^3+2*0=0; \text{then } f(0)=0\\1^3+2*1=3\equiv 3\text{ mod 8};  \text{then } f(1)=3\\2^3+2*2=8+4=12\equiv 4 \text{ mod 8};  \text{then } f(2)=4\\3^3+2*3=27+6=33\equiv 1\text{ mod 8};  \text{then } f(3)=1

Since f(0)\neq f(1)\neq f(2) \neq f(3), then f is one-to-one

5. Since f(1)=f(3) and 1\neq 3 then, f isn't one-to-one

3 0
3 years ago
Other questions:
  • If you continue adding fractions according to this pattern when will you reach a sum of 2?
    6·1 answer
  • Please show me how to do #11.
    8·1 answer
  • I want to know who has more
    14·2 answers
  • Keisha has one penny, one nickel, and one dime in her pocket. She randomly takes on coin out of her pocket. Without putting it b
    15·1 answer
  • Find solution to the system of linear equations. 5x1 + x2 = 0 , 25x1 + 5x2 = 0
    10·2 answers
  • How do I show this ?
    10·1 answer
  • The graph shows a journey in a car Help Fast!!!
    15·1 answer
  • Which expressions are equivalent to 4(4a+5)
    8·1 answer
  • Value of x <br> Can you help out again
    12·1 answer
  • 4 -9 -9<br>1 -3 - 6<br><br><br><br>I need hellppppp​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!