there are 72 campers at the summer camp because if we just multiply 8 times 9 equals 72
![\huge\boxed{18\ \text{points}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B18%5C%20%5Ctext%7Bpoints%7D%7D)
We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with
,
,
, and
respectively since each one is 1 point more than the last.
Add all of these values up and set it all equal to
.
![x+x+1+x+2+x+3=78](https://tex.z-dn.net/?f=x%2Bx%2B1%2Bx%2B2%2Bx%2B3%3D78)
Now, simplify.
![4x+6=78](https://tex.z-dn.net/?f=4x%2B6%3D78)
Subtract
on both sides.
![\begin{aligned}4x+6-6&=78-6\\4x&=72\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D4x%2B6-6%26%3D78-6%5C%5C4x%26%3D72%5Cend%7Baligned%7D)
Divide both sides by
.
![\begin{aligned}\frac{4x}{4}&=\frac{72}{4}\\x&=\boxed{18}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cfrac%7B4x%7D%7B4%7D%26%3D%5Cfrac%7B72%7D%7B4%7D%5C%5Cx%26%3D%5Cboxed%7B18%7D%5Cend%7Baligned%7D)
Since Louise's score is
, the answer is
.
<h3>Double-checking</h3>
To verify our answer, add the point totals
,
,
, and
.
This equals
, so we can be sure the answer is correct.
Answer:
AC ≈ 2.87
Step-by-step explanation:
Using the sine ratio in the right triangle
sin35° =
=
= ![\frac{AC}{5}](https://tex.z-dn.net/?f=%5Cfrac%7BAC%7D%7B5%7D)
Multiply both sides by 5
5 × sin35° = AC , thus
AC ≈ 2.87 ( to the nearest hundredth )
Answer:
4w-15
Step-by-step explanation:
For expressions that have "more than/less than" , that number goes AFTER the "whatever a number" statement because that's just how they explain it. I don't remember the exact reason why, but that is how my professor made me remember it, and yes, the order WILL affect the expression since that's a specific topic and I suppose you're being tested on how to make algebraic expressions based on descriptions.
Answer: ( 2 + 3 ) ( 8d )
Step-by-step explanation:
There are multiple possible answers and I'm not sure if you're missing part of the question.
Correct me if I am incorrect.