Hello!
To find how many calories in three cups we can use the proportion below.

To find our answer we can say, "How many times does 3/4 go into 3," and then multiply that number by 90 as shown below.
3÷3/4=4
90(4)=
360Just to verify, we will cross multiply and check our answer
90(3)÷3/4
270÷3/4=360
Therefore, our answer is
D) 360 calories.
I hope this helps!
Answer:
a = 2, b = -9, c = 3
Step-by-step explanation:
Replacing x, y values of the points in the equation y = a*x^2 + b*x +c give the following:
(-1,14)
14 = a*(-1)^2 + b*(-1) + c
(2,-7)
-7 = a*2^2 + b*2 + c
(5, 8)
8 = a*5^2 + b*5 + c
Rearranging:
a - b + c = 14
4*a + 2*b + c = -7
25*a + 5*b + c = 8
This is a linear system of equations with 3 equations and 3 unknows. In matrix notation the system is A*x = b whith:
A =
1 -1 1
4 2 1
25 5 1
x =
a
b
c
b =
14
-7
8
Solving A*x = b gives x = Inv(A)*b, where Inv(A) is the inverse matrix of A. From calculation software (I used Excel) you get:
inv(A) =
0.055555556 -0.111111111 0.055555556
-0.388888889 0.444444444 -0.055555556
0.555555556 0.555555556 -0.111111111
inv(A)*b
2
-9
3
So, a = 2, b = -9, c = 3
Answer:
The answer is 72
Step-by-step explanation:
Hope this helps :))
Answer:
lineHO parallel lineEN - Given
lineHW = lineNW - Given
angle HWO <u>congruent</u> angle EWN Vertical Angles
angle OHW <u>congruent</u> angle ENW Alternate interior angles
Thus triangle HOW congruent triangle NEW
[wouldn't let me use symbols sorry]
519/6=86.5
915/7=130.7142
439/7=62.7142
812/9=90.2222
so i think its the 1st on but i may be wrong.