Answer: Juan travelled 28 miles in the taxi
Step-by-step explanation:
A taxi company charges $2.25 for the first mile and then $0.20 per mile for each additional mile. This means that for m additional miles, the charge will be 2.25 + 0.20(m - 1)
So if F represents the fare, then
F = $2.25 + $0.20(m - 1)
If Juan's taxi fare was $7.65, to determine the number of miles that she paid for, we would substitute F = $7.65 into the equation,
F = $2.25 + $0.20(m - 1). It becomes
7.65 = 2.25 + 0.20(m-1)
7.65 = 2.25 + 0.20m - 0.20
7.65 - 2.25 + 0.20 = 0.2m
0.2m = 5.6
m = 5.6/0.2 = 28 miles
Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.
Given the system of equation expressed as:
3x + y = 3
x - 2y = 4
Solve simultaneosly;
3x + y = 3 ............. 1 * 1
x - 2y = 4 ...............2 * 3
_________________________
3x + y = 3
3x - 6y = 12
Subtract
y-(6y) = 3 - 12
7y = -9
y = -9/7
Substitute y = -9/7 into the equation to get x
x - 2y = 4
x - 2(-9/7) = 4
x + 18/7 = 4
x = 4 - 18/7
x = 3/7
Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.
Learn more here: brainly.com/question/20052273
1 = 1 = 1 < 2 < 22
1 is equal to 1 is equal to 1 is less than 2 is less than 22
<u>1 </u> = <u>1 </u> =<u>1 </u> <<u> 2 </u> < <u>22</u> 1 1 1 1 1 hope help mark brain.....?
Answer:
You will need 50.54 liters of gas.
Step-by-step explanation:
This question is solved by proportions.
495km trip:
The gas efficiency is given in miles per gallon, so we need to find the number of miles traveled.
Each km has 0.6214 mi, so 495 km will be 495*0.6214 = 307.593mi.
Number of gallons:
23.0 mi/gal.
So for 307.593mi, the number of gallons is 307.593/23 = 13.37 gallons.
How many liters?
Each gallon has 3.78 liters.
So 13.37 gallons will have 13.37*3.78 = 50.54 liters.
Answer:
Factor: 36
Step-by-step explanation:
Ratio of sides
1 : 6
Ratio of areas
1² : 6²
1 : 36