10% of 37 is 3.7
.10 multiplied by 37 is how you get your answer.
Answer: 300cal ≤ y ≤ 1200 cal
Step-by-step explanation:
Let's define x as the number of cookies that you eat, and y as the number of calories you consume in those cookies.
"if you eat no fewer than 2 cookies..."
This is written as:
2 ≤ x
This means that x can be equal to 2, or larger than 2.
"...and no more than 8 cookies"
This is written as:
x ≤ 8
This means that x can be smaller than 8 or equal to 8.
If we combine those two, we have:
2 ≤ x ≤ 8
And we know that each cookie contains 150 calories, and rememer that these numbers represent number of cookies, then the numbers of calories will be:
2*150 cal ≤ y ≤ 8*150 cal
300cal ≤ y ≤ 1200 cal.
Since the price of the cantaloupes is unknown, it will have to represented by a variable. Let's use x.
If Jackson starts with $25 and buys 5 cantaloupes of an unknown price, this subtracts 5 times the amount of 1 cantaloupe (which is x) from that $25.
This is shown as 25 - 5x.
After spending that money, he has $2.50 left over.
This means 25 - 5x = 2.50.
Now you just need to solve this by first isolating the variable.
First, subtract 25 from both sides.
25 - 5x - 25 = -5x
2.50 - 25 = -22.5
Then, divide both sides by -5. It's -5 since 5 is the coefficient and it's negative, so -5.
-5x / -5 = x
-22.5 / -5 = 4.5
This means x = 4.5.
And if x is 4.5, then that means the cost of 1 cantaloupe is $4.50.
First, you take 36 counters and spread them out. You then separate them into groups of 8 and any left that cannot be separated into groups of 8 are the remainders. When you do this, you will find that you are able to separate 36 into 4 groups of eight, and you will get a remainder of 4, so your answer is 4 remainder 4
ANSWER
P=8,Q=16
EXPLANATION
We can see from the table that both pattern P and Q have an initial value of 24.
Pattern P is reducing by a constant difference of 4.
The next value for pattern P is
12-4=8.
Also pattern Q is reducing by a constant value of 2.
The next value for pattern Q is,
18-2=16
