X = price of the ingredients
so based on the proportion , we can write that :
Almonds needed = x = $ 12 x
peanut needed = 2x = 2x * $ 8 = $ 16x
raisins needed = 3x = 3x * $6 = $ 18x
Equation =
12x + 16x + 18x ≤ $ 23
46x = $23
x = $ 0.5
The pound of mix he can made :
0.5 * 1 pound of almond + 0.5 x * 2 pound of peanuts + 0.5 * 3 pound of raisins
= 3 Pound of mix
Firstly, let's create a function of f(t) where t represents the time that has past, and f(t) represents the amount of rainwater. We know that when t=1, then f(t)=10, and t=2 then f(t)=15. So, let's take that and analyze it:
(1,10)
(2,15)
m = (15-10)/(2-1) = 5
y-intercept = 5
∴ f(t) = 5t+5
Now we just evaluate t for 10:
f(10) = (5*10)+5
f(10) = 55
#9. There are 180 degrees in a triangle. We already know two of the sides which added together make 112. Then we do, 180-112=68
#10. We do the same process. 90 + 60 = 150
150-180= 30
#11. To find whether or not any three numbers can make a triangle, two of the numbers must equal more than the remaining number. But this has to be the case for any combination. 6+7=13. 13 is larger than 11. So yes it can.
#12. 8+2=10 which may be bigger than 6 but, 6+2=8. Which is equal to 8. So no, it cannot make a triangle.
I’m still working out the first question
Answer:
-2
Step-by-step explanation:
Y - 2 = -3/4 (x - 6)
y = -3/4 (x - 6) + 2
When, x = -2,
y = -3/4 (-2 - 6) + 2 = -3/4 (-8) + 2 = 6 + 2 = 8
One point is (-2, 8)
When, x = 2,
y = -3/4 (2 - 6) + 2 = -3/4 (-4) + 2 = 3 + 2 = 5
Another point is (2, 5)
