Answer:
F. The total number of minutes Melissa ran in Week 3 is twice the total number of minutes she ran in Week 1.
Step-by-step explanation:
Week 1 total: 69
Week 2 total: 99
Week 3 total: 140
F. On technical means, it was not twice as much it was 2 mminutes over, but this would be the most correct answer.
G. No, they did not, they increased.
H. No, that would mean that on week 3 Melissa would have ran over 168 minutes, which she did not.
J. No, the minute difference each week was much greater than 5 minutes.
This is the concept of proportionality, given that z is directly proportional to x and inversely proportional to y then:
zαx/y
z=(kx)/y
where;
k is the constant of proportionality given by:
k=zy/x
but when x=3 and =6 then z=9.5
therefore:
k=(9.5*6)/3
k=19
hence the formula for z will be:
z=(19x)/y
the value of z when x=8 and y=12 will be:
z=(19*8)/12
z=12 2/3
Answer:
169,344
Step-by-step explanation:
Data provided in the question
Different fruits = 8
Different vegetables = 9
There is only room for 6 items
Based on the above information, the number of ways for an equal number of fruits & veggies is
For the number of combinations of fruit is
For the number of combinations of vegetables is
So, the total combinations are
= 169,344
Answer:
B The length is 5 inches, the width is 2 inches, and the height is 14 inches.
Step-by-step explanation:
The equation that desribes the volume of a party-favor bag is
The solutions of theis equation can be found among divisors of -140. The divisors are:
Note that
so
is the solution of the equation.
Hence,
the length is 5 inches, the width is 5-3=2 inches and the height is 5+9=14 inches.