Answer:
R=-12
Step-by-step explanation:
6(1 + 3R) = 2(10R - 9) -4R
Distribute 6 through the parentheses
6+18R=2(10R-9)-4R
Distribute 2 through the parentheses
6+18R=20R-18-4R
Collect like terms
6+18R=16R-18
Move the variable to the left-hand side and change its sign
6+18R-16R=-18
Move the constant to the right-hand side and change its sign
18R-16R=-18-6
Collect like terms
2R=-18-6
Calculate the difference
2R=-24
Divide both sides of the equation by 2
R=-12
if you'd make me brainliest that'd be great, if not its ok as well! I hope this helped!!!
4, 5, and 7 are mutually coprime, so you can use the Chinese remainder theorem right away.
We construct a number 
such that taking it mod 4, 5, and 7 leaves the desired remainders:
- Taken mod 4, the last two terms vanish and we have
so we multiply the first term by 3.
- Taken mod 5, the first and last terms vanish and we have
so we multiply the second term by 2.
- Taken mod 7, the first two terms vanish and we have
so we multiply the last term by 7.
Now,
By the CRT, the system of congruences has a general solution
or all integers 
, 
, the least (and positive) of which is 27.
You'd find the vertical asymptotes by seeing where the denominator equals zero; you can do so by factoring the denominator.
In this case, you can factor the denominator into (x+3)(x+2), so if you set each of those equal to zero you can find the equations of the vertical asymptotes (x=-3 and x=-2).
Answer: 1012 calories
Step-by-step explanation:
Shannon burns 46 calories each hour while sleeping.
When she plays basketball, she burns 11 times as many calories as she does when sleeping. The amount of calories burnt when she plays basketball will be:
= 11 × 46
= 506 calories
She burns twice as many calories each hour when she runs than when she plays basketball. The amount of calories burnt when she runs will be:
= 2 × 506 calories
= 1012 calories
The amount of calories that Shannon burn when she runs for 1 hour will be 1012 calories
Answer:
8 points????????? TYYYYYYYYYYYYYY
Step-by-step explanaI DONT KNOOOOOOOOOOOONIGAAAAAAAAAAAAAAxD
