Answer: 1 2/3 Liters
Step-by-step explanation:
The equation is going to be the amount of soda, multiplied by the amount of bottles Keisha has
5/9 x 3/1 (3/1 is equivalent to having 3 or 1+1+1)
We are going to multiple the numbers, numerator by numerator, and denominator by denominator since we do not need to add or subtract
- Numerator= 5x3=15
- Denominator= 9x1=9
Your improper awnser would be 15/9
DO NOT STOP HERE THIS IS NOT THE SIMPLEST FORM
- Create the simplest mixed number
15/9 is equal to 15 divided by 9
we can fit 1 9 in 15 without going over
1 ?/15
15-9=6
1 6/9
6 and 9 are both divisible by 3
6 divided by 3 = 2
9 divided by 3 = 3
1 6/9=1 2/3
- Awnser and add your units
1 2/3 is the simpelest form, this can not be further divided.
1 2/3 Liters of Soda
Multiply (x/6) by 6 to get common denominators and then you can simplify equation to 6x=15, divide each side by 6 answer is x=2.5 or 5/2
Answer:
m = -3
Step-by-step explanation:
5m + 20 = 8 + 2m +3
5m + 20 = 11 +2m
3m + 20 = 11
3m = -9
m = -3
Answer:
Solution given:
BD=35ft
AC=43ft
AB=8ft
EF=33-8=25ft
AE=26ft
Now
area of right angled triangle ∆AEF
=½(EF*AE)=½(25×25)=312.5ft²
area of parallel trapezoid=½AB(BD+AC)
=½*8(35+43)=312ft²
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Answer: There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.
Step-by-step explanation:
Years since tree was planted (x) - - - - height (y)
2 - - - - 17
3 - - - - 25
5 - - - 42
6 - - - - 47
7 - - - 54
9 - - - 69
Using a regression calculator :
The height of tree can be modeled by the equation : ŷ = 7.36X + 3.08
With y being the predicted variable; 7.36 being the slope and 3.08 as the intercept.
X is the independent variable which is used in calculating the value of y.
Predicted height when years since tree was planted(x) = 100
ŷ = 7.36X + 3.08
ŷ = 7.36(100) + 3.08
y = 736 + 3.08
y = 739.08
Forward prediction of 100 years produced by the trendline would probably give an invalid value because the trendline only models a range of 9 years prediction. However, a linear regression equation isn't the best for making prediction that far in into the future.
