Answer:
(-2, 3)
Step-by-step explanation:
4x + 5y = 7
3x - 2y = -12
Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.
Let's work with y.
5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.
2(4x + 5y = 7)
5(3x - 2y = -12)
Multiply.
8x + 10y = 14
15x - 10y = -60
Eliminate.
23x = -46
Divide both sides by 23.
x = -2
Now that we know x, let's plug it back into one of equations to find y.
4x + 5y = 7
4(-2) + 5y = 7
Multiply.
-8 + 5y = 7
Add.
5y = 15
Divide.
y = 3
Now we know x and y; let's plug both back into the equation we have not checked yet.
3x - 2y = -12
3(-2) - 2(3) = -12
Multiply.
-6 - 6 = -12
Subtract.
-12 = -12
Your solution is correct.
(-2, 3)
Hope this helps!
Answer:
123re Counterclockwise rotated
S
Answer:
26
Step-by-step explanation:
There are 60 pupils in the survey
32 are boys, so we assume 28 are girls
12 of the boys said cola was their favourite
4 boys liked water best.
That is a total of 16 boys who prefer either cola or water out of 32 total boys
There are 16 boys leftover who must have milk as there favourite
9 girls liked water best
21 pupils altogether said milk was there favourite. We know there are 16 boys who said milk was there favourite, meaning 5 of these pupils must be girls.
That means 9 girls have water as their favourite and 5 have milk as their favourite, a total of 14
We know there are 28 girls total. That means 14 of them must have listed cola as their favourite drink.
There are 14 girls and 12 boys who said cola was their favourite, a total of 26 pupils
Answer:
D.supplementary angles
Step-by-step explanation:
81+99=180
Answer:
6 hours
Step-by-step explanation:
Answer:
6 hours
Step-by-step explanation:
Firstly, it is important to know where the train that leaves Washington will get after one hour since they didn't start at the same time between noon and 1 is 1 hour.
Speed = distance / time
Distance = speed * time
The distance S = 44 * 1
S= 44m
To determine the time they will pass each other
500(total distance)- 44 ( distance gotten to in 1 hour) - d(the distance it willl pass each other =44* t(time the train will pass each other.
456-d =44t
Second train
d = 32t
Substituting to the equation
456-32t=44t
456=76t
t= 6 hours.
The time they will pass each other is six hours.
