Answer:
<h2>BC = 11.9</h2>
Step-by-step explanation:
To solve for BC we use sine
sin ∅ = opposite / hypotenuse
From the question
AC is the hypotenuse
BC is the opposite
So we have
sin 58 = BC / AC
sin 58 = BC / 14
BC = 14 sin 58
BC = 11.87
BC = 11.9 to one decimal place
Hope this helps you
Answer: C. 115 pieces of candies divided equally between 5 friends is not equal to 21 each
Step-by-step explanation: 115 divided by 5 is 23 each and not 21.
Answer:
Step-by-step explanation:
Let x represent the number of wins of the least team.
The number of wins for three teams was three consecutive integers. Of these three teams, if the first team had the most wins and the last team had the least wins. It means that the number of wins of the second team would be x - 1
The number if wins on the last team would be x - 2
The total number of wins by these three teams was 243. It means that
x + x - 1 + x - 2 = 243
3x - 3 = 243
3x = 243 + 3 = 246
x = 246/3 = 82
The first team had 82 wins
The second team had 82 - 1 = 81 wins
The last team had 82 - 2 = 80 wins
The answer is step 2, he should have subtracted the 9 or added the six when he was moving x's...
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.
