Answer: 
.
Step-by-step explanation:
Given problem : 
First we convert mixed fraction into improper fractions as
Now , plug these values in the given expression , we get
![\left(-5\dfrac{5}{6}\right)\div\left(-4\dfrac{9}{10}\right)=-\dfrac{35}{6}\div\left(-\dfrac{49}{10}\right)\\\\=\dfrac{-35}{6}\times\dfrac{-10}{49}\ \ \ [\text{By Property of fraction}]\\\\=\dfrac{350}{294}\\\\=\dfrac{25}{21}=1\dfrac{4}{21}](https://tex.z-dn.net/?f=%5Cleft%28-5%5Cdfrac%7B5%7D%7B6%7D%5Cright%29%5Cdiv%5Cleft%28-4%5Cdfrac%7B9%7D%7B10%7D%5Cright%29%3D-%5Cdfrac%7B35%7D%7B6%7D%5Cdiv%5Cleft%28-%5Cdfrac%7B49%7D%7B10%7D%5Cright%29%5C%5C%5C%5C%3D%5Cdfrac%7B-35%7D%7B6%7D%5Ctimes%5Cdfrac%7B-10%7D%7B49%7D%5C%20%5C%20%5C%20%5B%5Ctext%7BBy%20Property%20of%20fraction%7D%5D%5C%5C%5C%5C%3D%5Cdfrac%7B350%7D%7B294%7D%5C%5C%5C%5C%3D%5Cdfrac%7B25%7D%7B21%7D%3D1%5Cdfrac%7B4%7D%7B21%7D)
Hence, the answer is .
Answer:
6 years old
Step-by-step explanation:
First, turn the information given in words as equations. Use variables to represent the people:
let A be Addison's age
let B be Bailey's age
let C be Christopher's age
A = 3B (Addison is 3 times as old as Bailey)
B = 2.5C (Bailey is 2.5 times as old as Christopher)
A + B + C = 66 (the sum of their ages is 66) (sum means addition)
Start with the equation for the sum of their ages (A + B + C = 66). You have other equations that can replace the variables in this equation.
A + B + C = 66
(3B) + B + C = 66 Replace A with 3B (because A = 3B)
4B + C = 66 Collect like terms (3B + B = 4B)
4(2.5C) + C = 66 Replace B with 2.5C (because B = 2.5C)
10C + C = 66 Collect like terms (10C + C = 11C)
11C = 66 Isolate "C"
11C/11 = 66/11 Divide both sides by 11 to cancel out 11 on the left side.
C = 6 Christopher's Age
Therefore Christopher is 6 years old.
9514 1404 393
Answer:
6x^2 +x -12
Step-by-step explanation:
Substitute for A and B and collect terms.
2B +3A
= 2(3x^2 -x +3) +3(x -6) . . . . substitute for A and B
= 6x^2 -2x +6 +3x -18 . . . . . eliminate parentheses
= 6x^2 +x -12 . . . . . . . . . . . . collect terms
Answer:
D(3;-2).
Step-by-step explanation:
1) 
2) according to the formulas above:
3) finally, D(3;-2).
Attached is both solutions in detail.
