Answer:
For 10 pounds of tomatoes 6.25 i.e. 
cups of onions required.
Step-by-step explanation:
Corey's salsa recipe calls for 
cups of onions for every 4 pounds of tomatoes.
If the amount of onions is represented by y in cups and the amount of tomatoes by x in pounds, then the proportional relation between x and y is
y = kx ............. (1)
{Where, amount of tomatoes is the independent variable and amount of onions is the dependent variable}
Now, putting x = 4 pounds and y = i.e. 2.5 cups, we get from equation (1) as
2.5 = 4k
⇒ k = 0.625
Now, the equation becomes, y = 0.625x ........ (2)
Now, from equation (2) for, x = 10 pounds, y = 0.625 × 10 = 6.25 cups.
Therefore, for 10 pounds of tomatoes 6.25 i.e. cups of onions required. (Answer)
Answer:
a) 0.25
b) 0.75
Step-by-step explanation:
The formula to find probability is
Here as deck pf playing cards has 52 cards.
So total outcomes = 52
a)
A deck of cards has 13 hearts.
Favorable outcomes = 13
Probability of drawing a Heart
b)
A deck of cards has 13 cards of clubs.
So the cards which are not clubs = 52-13=39
Hence favorable outcomes = 39
Probability of not drawing a club card
Answer:
I am not sure, but I am sure that D is true
Step-by-step explanation:
Answer:
Step-by-step explanation:
circle A is
x²+y²+6x-4y-12=0
x²+6x +y²-4y =12
think (a+b)² = a²+2ab+b² we have a=x, b= 3
and (a-b)² = a²-2ab+b² so we have a=y, b=2
x²+6x +9 +y²-4y+4 = 12-9-4
(x+3)² +(y-2)²= -1
compare to the general equation of a circle (x-h)²+(y-k)² =r²
the center is at (-3,2) and the radius is √-1 =i
Circle B has center (0, -4) and radius 3 so the equation is
(x-0)²+(y-(-4))² =3²
x² +(y+4)² = 9
point (√8, -3) is on the circle if it verifies the equation
√8² +(-3+4)² = 9
8+1 =9 true so the point is on the circle
Circle A and circle B are not similar because they do not have the same center and radius
For the #2 it would be 3 because 50 goes into 138 2 times which will give you 100 with a remainder of 38. You can't leave behind the other 38 so you will bring another bus.
