a taxi driver charges a fixed rate of r to pick up a passenger.in addition, the taxi driver charges a rate of m for each mile driven.write a formula to represent t, the total amount this taxi driver will charge for a trip of n miles

Answers

Answer 1

Answer: The formula is: t = r + mn. This represents that the total (t) is the fixed rate (r) plus the charge per mile (m) for the number of miles (n).

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A rectangular prism has a surface area of 400 cm 2 . If it is 10 cm long and 10 cm wide, what is its height?4 cm
5 cm
8 cm
40 cm

Answers

Answer:

It was 5 cm, not 4

Step-by-step explanation:

Answer:

5cm

Step-by-step explanation:

Ted needs an average of at least 70 on his three history test he has scored already 85 and 60 on two test what is the minimum grade ted need on his third test?

Answers

so average=(total of scores)/(number of tests)
needs at least average of 70
at least is represented as greater than or equal to or the sign (>)
70>(total)/(number oftests)

since we have 3 tests, we have to have 3 scores so
70>(x+y+z)/3
he scored 85 and 60
70>(x+85+60)/3 (doesn't matter which to subsitute)
70>(x+145)/3
multiply obht sides by 3
210>x+145
subtract 145 from both sides
65>x
he needs to get at leas 65 on his third test

A music festival charges $54 and 95 per ticket sold on the day of the event. A ticket purchased before the festival cost only $39.95. There were only 20,000 tickets sold for a total of $925,000 how many tickets did they sell at the music festival? How many tickets did they sell before the music festival?

Answers

b=number of ticets sold before
a=number of tickets sold after

cost of a ticket=number of tickets times cost per ticket
beforecost=39.95b
aftercost=54.95a

total cost=925000
39.95b+54.95a=925000

total number tickets=20000
b+a=20000

we have

39.95b+54.95a=925000
b+a=20000
multiply second equation by -39.95 and add to first equatin
39.95b+54.95a=925000
-39.95b-39.95a=-799000 +
0b+15a=126000

15a=126000
divide bot sides by 15
a=8400

sub back
b+a=20000
b+8400=20000
minus 8400 both sides
b=11600

11,600 tickets sold before
8400 tickets sold after

Trent told his friends it would take him 90 minutes to mow the lawn. It only took him75 minutes. What is his percent error?

Answers

Answer:

The answer is 16%

Step-by-step explanation:

use the percent error formula.

$(|E-T|)/(|T|) *100$

in this problem,

e= 75

t=90

substitute and solve.

$(|75-90|)/(|90|) *100\n(|-15|)/(|90|)*100\n\n .16667*100\n$

16%

we are dealing with percents so rounding to nearest whole number will suffice.

hope this helps!

Two boats on opposite banks of a river start moving towards each other. They first pass each other 1400 meters from one bank. They each continue to the opposite bank, immediately turn around and start back to the other bank. When they pass each other a second time, they are 600 meters from the other bank. We assume that each boat travels at a constant speed all along the journey. Find the width of the river?

Answers

assuming that the river doesn not move
if they kept a constand speed then they passes
the problem doesn't say how fast they were moving, but we can see that 1 boat is faster so

first pass
1400 meters from 1 bank
if they turn around they are 600 meters from the other bank
since they kept constant speed, they passed in the same place so
distance from bank1 to markx=1400
distance from bank2 to markx=600
distance from bank1 to bank2=600+1400
1400+600=total distance=2000 m

If 4x+5y=10 and x+3y = 8 then (5x+8y)/3=

Answers

First set up a system of equations and solve.

4x+y=10
x+3y=8
In order to have one variable cancel out, I will multiply the top by -3.

-12x-3y=-30
x+3y=8
____________
-11x=-22
x=2

Then plug the x value into one of the original equations.

(2)+3y=8
3y=6
y=2

Now plug both into the final equation:
5(2)+8(2)/3
(10+16)/3
26/3
8.667 is the answer or 26/3.

Answer:

13y/3 is the answer

Step-by-step explanation:

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