Answer:
The difference in cost, in dollars, per ounce between the two boxes of cereal is $0.06.
Step-by-step explanation:
☆Let's solve using proportion.
☆One box:
☆Another box:
☆All we need to do is subtract:
☆The difference in cost, in dollars, per ounce between the two boxes of cereal is $0.06.
Answer:
x = 7 1/3
Step-by-step explanation:
First, add 1/2 and 6
1/2 + 12/2 = 13/2 = 6 1/2
Our equation now:
13/2 over 3 - x - 3 over 2 = 0
Next, divide 13/2 by 3
13/2 divided by 3 = 13/6
Our equation now:
13/6 over 3 - (x - 3) over 2 = 0
Now, find common denominators and simplify
13/6 - ((x - 3) times 3) over 6 = 0
22 - 3x over 6 = 0
Multiply by six on both sides
22 - 3x = 0
Subtract 22 from both sides
-3x = -22
Divide by -1
3x = 22
Divide both sides of the equation by 3
x = 22/3
x = 7 1/3
Hope this helps!
Answer:
Option D
Step-by-step explanation:
Given that the number of hours of daylight in a city in the northern hemisphere shows periodic behavior over time
Let t be the independent variable and no of hours H(t) be the dependent variable on t.
Maximum H(t) = 14.4 and average =12
Period = 365 days
If we fix a sine curve for this since period is 365, we must have coefficient of t as
So the function H(t) will have sine term as sin 0.017t ... i
Since average = 12, we have
H(t) = 12+a sin 0.017t
for some suitable a.
To find a, use maximum
Maximum is when angle is 90 degrees i.e. when sine value =1
max H(5) = 14.4 = 12+a (1)
a =2.4
Hence correct equation would be'H(t) = 2.4sin(0.017t)+12
OPtion D is right answer.
Answer:c=(-15-9d)/6
Step-by-step explanation:
15=-3(2c+3d)
Open brackets
15=-6c-9d
Add 9d to both sides
15+9d=-6c-9d+9d
15+9d=-6c
Divide both sides by -6
(15+9d)/-6=-6c/-6
-(15+9d)/6=c
c=-(15+9d)/6
c=(-15-9d)/6
X^2+5^2=12^2
x^2+25=144
x^2=144-25
x^2=119
x=10.9