Answer:
Dimensions = 21 centimeters by 4.2 centimeters.
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Perimeter of rectangle = 50cm
Translating the word problem into an algebraic expression, we have;
L = 5W
To find the dimensions of the rectangle;
Perimeter of rectangle = 2L + 2W
50 = 2L + 2W
50 = 2(5W) + 2W
50 = 10W + 2W
50 = 12W
W = 50/12
W = 4.2 cm.
To find the length;
L = 5W
L = 5*4.2
L = 21 cm.
Answer:
Step-by-step explanation:
So the division property states that if both sides of an equation are equal and whenever you divide both sides of that equation by the same number they should stay equal. Example
12=12 right? so if I divide both 12 and 12 by 3 I should get 3=3
We use this to solve for variable such as x
So new example lets take
5x=25
Since both sides are equal I can divide by the same number and should get an equal number right? So lets divide by 5 on both sides. 5x divided by 5 equals x and 25 divided by 5 equals 5 so my new equation is
x equals 5 or x=5.
If I plug my x=5 back into the equation they should be equal so lets see...
5(5)=25
25=25
And it checks out :)
Answer:
y=-.5x+4
Step-by-step explanation:
Answer:
The probability is 
≅ 
Step-by-step explanation:
Let's analyze the question.
There are 15 students in the 8th grade.
The students are randomly placed into three different algebra classes of 5 students each.
We are looking for the probability that Trevor, Terry and Evan will be in the same algebra class.
One possible way to solve this question is to think about the product probability rule.
We can use it because we are in an equiprobable space. (And also the events are independent).
Let's set for example a class for Evan.
The probability that Evan will be in a class is 
Then for Terry there are 
places out of 
that puts Terry in the Evan's class.
We write 
Finally for Trevor there are 
places out of the remaining 
that puts Trevor in the same class with Evan and Terry.
Using the product rule we write :
The probability of the event is ≅
Answer:
26 different ways of selecting a salad
Step-by-step explanation:
multiply 13 times 2 to find the number of possibilities
