Answer:
Step-by-step explanation:
ratio of 2:1....total of 3....so caroline gets 2/3 of the money and sarah gets 1/3 of the money. Let the total amount of money be x.
so caroline = 2/3x and sarah = 1/3x
caroline gets 45 more then sarah
2/3x = 1/3x + 45
2/3x - 1/3x = 45
1/3x = 45
x = 45 * 3
x = 135.....so the total money is $ 135
caroline gets 2/3 of it.......2/3(135) = 270/3 = $ 90
sarah gets 1/3 of it......1/3(135) = 135/3 = $ 45 <===
Answer:
- Burgers - $8.29 and fries - $4.39
Step-by-step explanation:
<u>Let burgers - b, fries - f</u>
- 8b + 3f = 79.49
- 12b + 6f = 125.82
<u>Double the first equation and subtract the second equation:</u>
- 16b + 6f - 12b - 6f = 2(79.49) - 125.82
- 4b = 33.16
- b = 33.16/4
- b = 8.29
<u>Find f:</u>
- 8(8.29) + 3f = 79.49
- 3f = 79.49 - 66.32
- 3f = 13.17
- f = 13.17/3
- f = 4.39
Monthly mortgage payment multiplied by 12 months in a year.
765*12=9,180.
Add yearly mortgage plus property taxes:
9,180+4,056=13,236
Divide the total by 12 months in a year.
13,236/12=1,103
You should charge $1,103 a month to come out even.
You can also take the property taxes and divide them by 12 (months in a year) 4056/12=338. Then add the monthly mortgage ($765)
765+338= $1,103.
Hope this helps :)
Answer:
Step-by-step explanation:
to solve this problem we can use the Pythagorean theorem
UT and TL are the legs, while LU is the hypotenuse
We have to find LU so we can proceed like this
x^2 + (x+1)^2 = LU^2
x^2 + x^2 + 1 + 2x = LU^2
2x^2 + 2x + 1 = LU^2
LU = +/- 
we have to take only the positive value because a length can’t be negative.
2x^2 + 2x + 1 is positive for every value of x, so the final answer is
sides of right angle triangle follows Pythagoras theroem
which states
a^2 +b^2 = c^2
where a , b and c are sides of right angle triangle.
here none of options do not follow this.
so answer is option D
