Answer:
each number in the ratio 4:5:7 is worth 6 sweets. add 4,5, and 7 to get 16 then multiply it by 6 to get 96 sweets.
Step-by-step explanation:
add the ratios = 4+5+7= 16
1 number = 6 so
4x6= 24
5x6=30
7x6=42
Frank gets 24 sweets
Mary gets 30 sweets
Seth gets 42 sweets
The total number of sweets they shared is 24+30+42= 96
The share 96 sweets altogether.
The check your answer; do 42-24= 18
Therefore, now we know that the difference between Seth and Frank's amount of sweets is 18.
Therefore, this is correct.
Okay. So the song lasts 221 seconds. 45 seconds have already beem done and 22 seconds is done in an hour. The equation would be set up like this:
45 + 22h = 221
Just by looking at the answer choices, A is already eliminated because it doesn't incorportate the 45 seconds. B does include the 45 seconds, but it subtracts, and in this case, we add time, not subtract. D is eliminated, because the h variable does not go with 45. The only equation that works is C and when you solve it, you get 8 hours. The answer is C.
Note: you solve the equation above by subtract 45 from both sides to get 176 = 22x, and dividing both sides by 22 to get x = 8.
Answer:
option C
Step-by-step explanation:
f(x)=-0.08x(x^2-11x+18)
Factor the parenthesis and find out the x intercepts
(x^2-11x+18)
We find out two factors whose product is 18 and sum is -11
-9 and -2 gives us product 18
-9 -2 gives us sum -11
(x^2-11x+18) =(x-9)(x-2)
f(x)=-0.08x(x^2-11x+18)
f(x)= -0.08x(x-9)(x-2)
set f(x) =0 and solve for x
-0.08x(x-9)(x-2) =0
-0.08x =0, so x=0
x-9 = 0 , so x=9
x-2 =0 , so x=2
x intercepts are (0,0) (2,0) and (9,0)
x intercepts are not repeating
so the graph crosses x -axis at x=0, 2,9
option C is correct
The graph is attached below4
X + 58 = 6
x = 6 - 58
x = - 52