Answer:
20% of the total schools participated for 6 years or more. This is because the part of the box plot wherein it hits 6 years and above is 20%. Thus, if there are 20 schools, then 20% of it would be 4. In conclusion, there are 4 schools that participated for 6 years or more.
Step-by-step explanation:
Answer:
angle 1
Step-by-step explanation:
Using the trigonometric mnemonic SOH CAH TOA, we know that cos or cosine is the ratio between the adjacent side and hypotenuse side.
This means that if cos A = 0.48, A is the measure of the angle which it's relative adjacent side divided by the hypotenuse of the triangle will be around 0.48.
Let's try angle 2, cos (angle 2) = adjacent / hypotenuse = 7.8 / 8.9 = 0.876404494382 ≈ 0.87 ≠ 0.48. Since the proportions are not equal, this angle cannot be the one marked as A.
Since angle 3 is a right angle, the adjacent could be either side so it cannot be correct. Thus angle 1 is correct.
So first you need to find a formula for who has what!
Because nobody said what chase had, chase is our variable!
Chase = x
Sophie = x-6 (six less than Chase so subtraction)
Jonah = x•3 (three times the amount of Chase)
Now you will put all of this in an equation- adding everybody together! The total is 89 so that will be what’s after the equal sign!
Your equation: x+x-6+x•3=89
First you will use PEMDAS, since there are no parentheses or exponents- you’ll do multiplication first!
x+x-6+(x•3)=89
When you multiply that out, you will be left with: x+x-6+3x=89
Second you will add all common terms! Remember- the 3x means there are THREE x’s in that one spot. Take out all x’s in the equation and add them together!
x+x+3x=5x
Now you are left with:
5x-6=89
Now you will solve this like a regular equation! First, you have to move the -6 to the right so you will do the inverse operation (the opposite sign) and add 6 to both sides! 89+6 is 95 and -6+6 is 0, so the 6 on the left cancels out and isn’t there anymore!
Now you have 5x=95. To get the x by itself, you will divide both sides by 5! (Once again, doing the inverse operation! Since 5 and x are being multiplied, you have to divide.)
When you divide, you are left with x=19. In this question, the answer is:
Each person has $19.
Answer:
1022 minutes
Step-by-step explanation:
Let x be the number of minutes the executive used the phone
There is a base charge of $35 and only minutes greater than 900 min are charged at the rate of $0.40 per minute
So total bill A = 35 + 0.4(x-900)
We know the bill was $83.80
So we can rewrite the equation as
35 + 0.4(x-900) = 83.30
and solve for x
To make it easier for computational purposes
1) Multiply both sides by 10
2) Perform individual multiplication
3) Subtract 350 from both sides
4) Simplify
5) Divide both sides by 4
6) Simplify
7) Add 900 to both sides to isolate x
8) Simplify to obtain x
Answer: The executive used the phone for 1022 minutes that month
