Answer:
x = 6 ; y = -9
Step-by-step explanation:
8 x + 2 y = 30 ..........equ No 1
7 x + 2 y = 24......... equ No 2
8 x = 30 - 2y
∴ x =
substituting the value of x in equ No 2
7
+ 2 y = 24
7 ( 30 -2 y) + 2 y × 8 = 24 × 8
7 × 30 - 14 y + 16 y = 192
210 + 2 y = 192
2 y = 192 - 210
2 y = - 18
∴ y = - 9
put y = -9 , 8 x = 30 - 2 y
8 x = 30 - 2 ( -9)
8 x = 30 - ( -18)
8 x = 48
∴ x = 6
x = 6 ; y = -9
Answer:
7 1/2 cups
Step-by-step explanation:
If Carol uses 1 1/4 cups of flour for 2 muffins, then she will need to repeat this conversion 6 times since she wants to make identical 12 muffins in all.
So, 1 1/4 * 6 = 7 1/2
Therefore, she needs 7 1/2 cups of flour
Hope that helps! :)
Answer:
Step-by-step explanation:
6
cause you take 48/8 equals 6
hope this heps:)
Let's divide the shaded region into two areas:
area 1: x = 0 ---> x = 2
ares 2: x = 2 ---> x = 4
In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.
Area 1:

Area 2:





Therefore, the area of the shaded portion of the graph is
A = A1 + A2 = 5.34
Let's start by understanding that the graph is a linear line. We have a common difference if 4.5 for every 10x we have more.
We can start by finding the gradient, using rise over run. Let's take (10, 4.5) and (20, 9)
Our rise is 9 - 4.5 = 4.5 and our run is 10. Then, our gradient becomes 4.5/10 = 0.45
Now, we can substitute points using the point-slope form.
y - 4.5 = 0.45(x - 10)
y - 4.5 = 0.45x - 4.5
Hence, our line becomes y = 0.45x and you can verify by substituting in points from the table.