Answer:
C
Step-by-step explanation:
We can solve simultaneous equations using substitution method, elimination method or graphical method. But for this purpose, we will be using the elimination method.
3x+4y=8 Equation 1
2x+y=42 Equation 2
Multiply Equation 1 by 2 and equation 2 by 3, so as to get the same coefficient for x
2(3x+4y=8)= 6x+8y=16 Equation 3
3(2x+y=42)= 6x+3y=126 Equation 4
Subtract equation 4 from 3, to eliminate x
6x-6x=0
8y-3y= 5y
16-126= -110
We now have 5y=-110
Divide both sides by 5,
y= -110/5
= -22
Substituting for y in equation 2
2x+(-22)= 42
2x= 42+22
2x=64
x= 64/2
= 32
(x, y)
(32, -22)
3 small notebooks and 3 large ones
My reasoning is 3 times 7 is 21
63 - 21 = 42
3 times 14 is 42
So 42 + 21 = 63
Therefore 3 small and 3 large
20× 8 = 160
160 + 2x > or = 500
-160--------------- -160
2x > or = 340
÷2------------÷2
x > or = 170
She has to sell at least 170 cupcakes to make $500 in profit.
Hope this helps!
What is the complete question?
Answer:
3/5pi
Step-by-step explanation:
The formula of getting the arc length is
arc length = angle * pi / 180 * r
arc length = 60 * pi / 180 * 5
arc length = 300 * pi / 180
arc length = 5pi / 3
