Answer:
The greatest number of platters he can prepare is 3.
Step-by-step explanation:
Given : In preparation for a party, brant is putting desserts onto platters. the chocolate cake is cut into 15 pieces and the cheesecake is cut into 6 pieces. if he wants to prepare identical platters without having any cake left over.
To find : What is the greatest number of platters he can prepare?
Solution :
The greatest number of platters he can prepare is given by finding the GCF of 15 and 6.
Factoring the numbers,
The GCF is the greatest common factor.
Therefore, the greatest number of platters he can prepare is 3.
Answer:
<em>Answer in explanation</em>
Step-by-step explanation:
<u>Linear Modeling</u>
It's given a situation where a student has two summer jobs and wants to collect $750 to pay for a down payment on a car. He gets paid $25 for each lawn mowed and $15 for each pool cleaned
- Create a model in standard form
Let
x = number of lawns mowed
y = number of pools cleaned
He wants to make $750, thus:
25x + 15 y = 750
Dividing by 5, we have the model that represents the linear relationship:
5x + 3y = 150
The x-intercept can be found by setting y=0:
5x + 3(0) = 150
5x = 150
Dividing by 5:
x = 150/5 = 30
x = 30
This represents the situation where the student gets his $750 by only mowing 30 lawns, no pools cleaned.
The y-intercept can be found by setting x =0:
5(0) + 3y = 150
3y = 150
y = 150/3 = 50
y = 50
This represents the situation where the student gets his $750 by only cleaning 50 pools, no lawns mowed.
- Identify two combinations that are solutions to the equation
Starting from the basic equation
5x + 3y = 150
We can give x some arbitrary value (less than 30) and find the value for y.
For example, for x=12
5*12 + 3y = 150
60 + 3y = 150
3y = 150 - 60 = 90
y = 90/3=30
This solution corresponds to the case where the student gets $750 by mowing 12 lawns and cleaning 30 pools.
For example, for x=21
5*21 + 3y = 150
105 + 3y = 150
3y = 150 - 105 = 45
y = 45/3=15
This solution corresponds to the case where the student gets $750 by mowing 21 lawns and cleaning 15 pools.
Answer:
Pass through the origin
Step-by-step explanation:
In y = mx + c,
When theres no 'c', it means c = 0
The lines pass through the origin
Answer:
the answer I got is -23, please let me know if I am wrong.
