(3)(-5x+y=-3)
(5)(3x-8y=24)
-15x+3y=-9
15x-40y=120
3y=-9
-40y=120
-37y=111
Divide both sides by -37
y=-3
To solve for x. Choose one equation from the given and plug what you get in Y.
I'll choose, -5x+y=-3
So, -5x+(-3)=-3
-5x=0
Divide both sides by -5
x=0/-5
Hope, this helps.
To find out what fraction of the half quart each friend will get, divide the 1/2 quart into 2 groups.
1/2 divided by 2 is the same as 1/2 x 1/2 or 1/4 quart.
Each friend will get 1/4 quart of milk.
72 because right number on the top of the bar is six, and 12•6=72
Answer:
The score of the dropped grade is 6
Step-by-step explanation:
To find the average of a set of numbers you need to add all the numbers and divide by how many numbers there are. The problem wants you to solve it in reverse. Let put this into an algebraic equation with a, b, c, d, and e being the variables of the test scores
(a+b+c+d+e)/5=10
Then we can multiply both sides by 5 and get
a+b+c+d+e=50
Lets assume that c is the lowest test score. To calculate the average of that we get
a+b+d+e/4=11
Doing the same thing, we know that a+b+d+e=44
Now compare the two:
a+b+c+d+e=50
a+b+d+e=44
We can now know that c=50-44=6
So, 6 is the score of the dropped quiz. Hope that helped!
Answer:
The distance between them after 30 minutes is 6.5 km.
Step-by-step explanation:
Speed = 
Sarah's speed = 6 km/hr = 1.6667 m/s
Emily's speed = 10 km/hr = 2.7778 m/s
The measure of angle between their bearings = 
After 30 minutes (1800 seconds);
distance = speed x time
Sarah would have covered a distance = 1.6667 x 1800
= 3000 m
= 3 km
Emily would have covered a distance = 2.7778 x 1800
= 5000 m
= 5 km
The distance between them, a, can be determined by applying the cosine rule;
= 
+ 
- 2bcCos A
= 
+ 
-2(5000 x 3000) Cos 105
= + -2(5000 x 3000) x (-0.2588)
= 2.5 x 
+ 9 x 
+ 7764000
= 41764000
a = 
= 6462.5073
a = 6462.5 m
The distance between them after 30 minutes is 6.5 km.
