Step-by-step explanation:
Kym teaches sixth grade students in an urban school where most of the families in the community live below the poverty line. Each year the majority of the students in her school fail the statewide tests. Kym follows school district teaching guides and typically uses direct instruction in her Language Arts and Social Studies classes. The classroom assessments are designed to mirror those on the statewide tests so the students become familiar with the assessment format.
Answer:
Step-by-step explanation:
1 pound = 16 ounce
6 pound = 6 * 16 = 96 ounces
Cost of 96 ounces of grapes = $18
Cost of 1 ounce of grape = 18/96
Cost of 72 ounces of grape = 18*72 / 96 = 27/2
= $13.50
Or
Direct Proportion because is weight increase, the cost will increase
96:18 = 72 : x
Product of means = Product of extremes
18*72 = x*96
18*72/96 = x
x =$13.50
Since Jin donated his money to charity and he donated $864, that is our total.
We don't know the first amount, so we can call it x.
We don't know the second amount either, but we do know it was 5 times the first, so 5*x = 5x.
We first need to find how much Jin earned for the first song. We need to find x.
x + 5x = 864, then combine like terms6x = 864, then divide both sides by 66x/6 = 864/4x = 144
The fist song made $144. But the second made 5 times that. So we just multiply 144 by 5. 144*5=720.
The final answer is $720.
Answer:
There is a total of 66 different fruit salads.
Step-by-step explanation:
One fruit salad differs from the other only in the amount of pieces of certain fruit put in it. In order to easier denote fruit pieces we introduce these notations:
A-how many apples are put into the salad;
B-how many bananas are put into the salad;
C-how many cranberries are put into the salad.
Since she can freely choose the number of pieces of each fruit, we have these conditions for the variables A, B and C:
-
(she cannot choose a negative number of pieces) 
(because she can get the total of 10 pieces of fruit)
Another condition for forming the salad is that the salad must consist of exactly 10 pieces of fruit, hence we have this equation to solve:
but we must obtain the non-negative integer solutions of this equation.
That is equivalent to calculating the number of r-combinations of the multi-set S with objects of k different types with infinite repetition numbers.
The formula for obtaining the number of such r-combinations is:
We have that 
and that 
and we can observe the repetition number as infinite since she can create a fruit salad with only one piece of fruit and the repetition number in such cases is the maximum 10. Finally, we have that the total number of fruit salads equals:
.
Just do what you said (subsitute) and solve
x=number of classes
7.5x=5.5x+10
subtract 5.5x from both sides
2x=10
divide 2
x=5
5 classes
to find how much it costs, subsitute 5 for x in any equation
y=7.5(5)
y=37.5
total cost is $37.5 per month
