Answer:
11/15. the denominator is 15
Step-by-step explanation:
22/2=11
30/2=15
Hope this helps!
Answer:
Step-by-step explanation:11/15
In this question, we have to find all the products which result in a difference of perfect squares .
The formula of the difference between squares is
In the first option, we have
Which is of the form of difference of two squares. And similarly , the last option is also in the form of difference of two squares .
And for perfect squares, we have same factor twice in b and e, so for that b and e are the correct options .
So out of the given options, correct options are a,b,e and f .
Answer:
ONE: A
TWO:B
FIVE: E
SIX: F
Answer:
1.)2240
2.)1173.33334
3) soda = 3, calcium chloride = 2.625
Step-by-step explanation:
Baking soda (spoons)
1 - 1 - 1 - 2 - 2 -2 - 3
Calcium chloride (spoons)
1 - 2 - 3 - 1 - 2 - 3 - 1
Carbon dioxide (milliliters)
800 - 1600 - 1600 - 800 - 1600 - 2400 - 800
Modeling the above using a multiple regression technique:
ŷ = ax1 + bx2 + c
Where ŷ is the predicted value
x1 and x2 are the first and second predictor variable.
ŷ = 106.66667X1 + 640X2 - 0
1.) How many mL of gas would be produced if 3 spoons of baking soda reacted with 3 spoons of calcium chloride?
ŷ = 106.66667(3)+ 640(3) - 0
320.00001 + 1920 - 0 = 2240
2.) How many mL of gas would be produced if 2 spoons of baking soda reacted with 1.5 spoons of calcium chloride?
ŷ = 106.66667(2)+ 640(1.5) - 0
213.33334 + 960 + 0 = 1173.33334
C.) To produce 2000mL of gas
It could be achieves a a number of ways
ŷ = 106.66667X1 + 640X2 - 0
For instance if she opts to use 3 spoons of soda
2000 = 106.66667(3) + 640x2
2000 = 320.00001 + 640x2
2000 - 320 = 640x2
x2 = 1680/640
x2 = 2.625 spoons
Ms Smith has 28 sixth graders and 35 seventh graders
she wants to break them down into groups with each group having the same number of students from each grade
for this we have to find the highest common factor of 28 and 35 to see by which both 28 and 35 are divisible by
factors of 28 and 35 are as follows
28 - 1,2,4,7,14,28
35 - 1,5,7,35
the highest common factor both numbers is 7
therefore Ms Smith can break them down into 7 groups
each group will have
28 / 7 = 4 sixth graders
35 / 7 = 5 seventh graders
so each group will have 4 sixth graders and 5 seventh graders
so in each group there will be 4 + 5 = 9 students
she will break them down into 7 groups
each group has 9 students