Answer:
1. y=5 and x=-5
2. y=2 and x=-4
Step-by-step explanation:
1.y=-5x-19
y=-6x-24
since both equations are equal to y, they are also equal to eachother
-5x-19=-6x-24
addition P.O.E.
x-19=-24
addition P.O.E.
x=-5
substitute x into one equation
y=-5*-5-19
y=6
2. y=-6x-22
y=-3x-10
since both equations are equal to y, they are also equal to eachother
-6x-22=-3x-10
addition P.O.E.
-22=3x-10
addition P.O.E.
-12=3x
division P.O.E.
-4=x
substitute x into one equation
y=-3*-4-10
y=2
Number one is more likely to happen.
how likely is it? equally likely as not likely
make improper fractions first. Then look for a common denominator (7*9) you will get something like this:
((73*9 + 9*19*7)/(63))
Answer:
n¹³
Step-by-step explanation:
Division and multiplication have the same priority in pemdas, so you can solve this by dividing/multiplying from left to right.
Also remember that when dividing exponents of the same base, you subtract them, and when multiplying, you add them.
n⁶· n⁵ · n⁴ ÷ n³ · n² ÷ n
= (n⁶· n⁵) · n⁴ ÷ n³ · n² ÷ n
= (n¹¹ · n⁴) ÷ n³ · n² ÷ n
= (n¹⁵ ÷ n³) · n² ÷ n
= (n¹² · n²) ÷ n
= n¹⁴ ÷ n
= n¹³
Ultimately you just have to calculate
6 + 5 + 4 - 3 + 2 - 1 = 13
Answer:
2244 cm
Step-by-step explanation:
The first first thing we must do is find the LCM of the following numbers
(51; 68) = 204.
This means that the first time they coincide is at 204.
Now, since his steps always coincide after 204
In Nick's case
Nick's 204 ÷ 51 = 4th step
and in the case of the father
204 ÷ 68 of his father = 3rd step.
Which means that in the 204 cm distance, there will be a total of 6 foot steps, except in the first 204 cm when your "initial" step is counted.
Replacing these values we have that the total distance will be:
67-1 (initial step) / (6 * 204) = 2244 cm
