Answer:
(1,2)
Step-by-step explanation:
Substitution:
x + 2y = 5 Solve for x
x = -2y + 5 Substitute -2y + 5 in for x in the second equation
4x - 12y = -20
4(-2y + 5) - 12y = -20 Distribute the 4
-8y + 20 - 12 y = -20 Combine the y term
-20y + 20 = -20 Subtract 20 from both sides
-20y = -40 Divide both sides by -20
y = 2
Plug y into either of the 2 original equations to get x.
x + 2y = 5
x + 2(2) = 5
x + 4 = 5
x = 1
The answer is (2,1).
Elimination:
x + 2y = 5 4x - 12y = -20. We want to eliminate with the x or the y. I am going to eliminate the x's that means that I have to multiply the first equation all the way through by -4
(-4)(x + 2y) = (5) (-4) That makes the equivalent expression
-4x - 8y = -20 I will add that to 4x - 12y = -20
<u>4x - 12y = -20</u>
0x -20y = -40
-20y = -40
y = 2. Plug 2 into either the 2 original equation to find x. This time I will select the second original equation to find x.
4x -12y = -20
4x - 12(2) = -20
4x - 24 = -20
4x = 4
x = 1
Answer:
78.5714286 cm²
Step-by-step explanation:
The equation for the area of a circle is πr².
You can work out the radius (r) by halving the value of the diameter, which is given as 10cm.
You then square this, so 5² = 25.
Finally, multiply this by pi which is given to you as 22/7.
(22/7) x 25
3.14285714286 x 25 = 78.5714285714, to be exact.
The blue group did because they ate 7 slices out of 8 while the green team only ate 2 out of 8
Answer:
60g
Step-by-step explanation:
60/2=30
60+30=90
Answer: There are 35 spellers participated in the spelling bee.
Step-by-step explanation:
Since we have given that
Rank of Anish's placement at the highest = 11 th
Rank of Anish's placement at the lowest = 25 th
We need to find the number of spellers participated in the spelling bee.
So, Number of spellers participated in the spelling bee is given by
Highest + Lowest - 1
= 11 + 25 - 1
= 36 - 1
= 35
Hence, there are 35 spellers participated in the spelling bee.
