im not sure but maybe look up how to calculate volume of a cone.. then go from there :D
Answer:
The larger of the two is 44.67
Step-by-step explanation:
let the first number=x
let the second number=y
We can derive a system of equations using the mathematical statements
Their sum is 33:
x+y=33( call this equation 1)
Sum of first number and four times the second is -2:
x+4y=-2(call this equation 2)
Since the integer coefficients of x in both equations are the same we can quickly subtract one from the other to eliminate it
For this explanation, I choose to subtract equation 1 from 2
(x+4y=-2)-(x+y=33)=3y=-35
y=-35/3
Now plug in the value of y into any equation for that of x. Say we plug into equation 1
x+(-35/3)=33
x-35/3=33( multiply through by 3)
3x-35=99
3x=99+35
3x=134
x=134/3
Therefore,x=134/3 or 44.67 and y=-35/3 or -11.67
I beleive 1 is C, and 2 is B!
Answer:
12 correct answers
Step-by-step explanation:
Since in the main part she scores 8.3 points for each question she answers correctly, we can assume that the number of questions she answers correctly=a
Therefor, the total number of points she achieved in the math test in the main part alone can be expressed as:
Total score(main part)=8.3×a=8.3a points
She also solved a bonus question worth=11 points
Consider expression 1 below
The total score in the whole test=Total score in the main part+Bonus points, where;
Total score in the whole test=110.6 points
Total score in the main part=8.3a points
Bonus points=11 points
Substituting the values in expression 1:
8.3a+11=110.6
8.3a=110.6-11
8.3a/8.3=99.6/8.3
a=12
Number of correct answers in the main part=a=12
