Answer:
Step-by-step explanation:
-2/5 - 4/5 + -9/10
= -2/5 - 4/5 - 9/10
= {-2(2) -4(2) - 9)/10
= (-4 - 8 - 9)/10
= -21/10
= -2 1/10
Answer: 2.7 is the decimal for 2 7/10
Answer:
x = -11/5 and y = 24/5
Step-by-step explanation:
Use elimination.
First, we need to multiply so that at least one variable can cancel out.
We can multiply the top equation by 2.
So we get
4x + 6y = 20
Then, we can use elimination.
The x's cancel out.
So we get 5y = 24
Or y = 24/5
Then, we can plug in this y value back into the first equation to find x.
2x + 3(24/5) = 10
2x + 72/5 = 50/5
2x = -22/5
x = -11/5
So x = -11/5 and y = 24/5
Answer:
7/6 cups
Step-by-step explanation:
Given the following information :
Mug is 2/7 full
Amount of water in the mug = 1/3 cup
Assume the full capacity of the mug = m
Then the current capacity of water in mug = (2/7) of m = (2/7)m
Current capacity of water in mug is equivalent to 1/3 cup of water
Hence,
(2/7)m = 1/3
2m/7 = 1/3
Cross multiply
(2m * 3) = 7 * 1
6m = 7
m = 7/6
m = 1 1/6 cups
First find the slope,
m=(y2-y1)/(x2-x1)=(1-(-9))/(7-6)=10
Next, use the point slope form to find the equation:
L : y-y1=m(x-x1) => y-1=10(x-7)
[in point slope form, point is (7,1), slope=m=10 ]
