Answer:
20
Step-by-step explanation:
You need to create two equations for each company and then set them equal to each other. The keywords base fee means you will pay this amount regardless, so this amount stays constant and it will be the constant in the equation. The other keyword is per. Per will link the variable with the coefficient.
The first equation for company M:
y = 12x + 60
The second equation for company N:
y = 9x + 120
Set the equations equal to each other.
9x + 120 = 12x + 60
Solve for x. I am going to subtract 9x from both sides first.
9x - 9x + 120 = 12x -9x +60
120 = 3x +60
Now, I will subtract 60 from both sides.
120 - 60 = 3x + 60 - 60
60 = 3x
Finally, I will divide both sides by 3
60/3 = 3x/3
x = 20
20 is how many guests it will take for the total cost to be the same.
Answer:
The money Rachael plan to collect for the shelter is <u>$345</u>.
Step-by-step explanation:
<u><em>There are some data missing in the question, so below is the complete question:</em></u>
Rachel is collecting donations for the local animal shelter. So far she has collected $245, which is 70% of what she hopes to collect. How much money does Rachel plan to collect for the shelter?
Now, to find the money Rachael plan to collect for the shelter.
Let the total money Rachael plan to collect be 
The amount far she has collected = $245.
Percentage of amount she hopes to collect = 70%.
Now, to get the total money Rachael plan to collect:



<em>Dividing both sides by 0.70 we get:</em>

Therefore, the money Rachael plan to collect for the shelter is $345.
Answer:
SAS
Step-by-step explanation:
It doesnt show the hypotenuse so its no HL
It doesnt show 2 angles so its not SAA or ASA
It doesnt show three sides so its not SSS
The little line indicates that the sides are congruent. They both have a right angle and the bottom lines are right on top of each other so its SAS