Using proportions, it is found that they must win 19 of their next 30 games.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
We want a win-to-loss proportion of 2:1, which is equivalent to a win-to-total proportion of 2:3. We have that:
- The team will have won 5 + x games.
- The team will have played 36 games.
Hence:
3(5 + x) = 72
15 + 3x = 72
3x = 57
x = 19.
The Rangers must win 19 of their next 30 games.
More can be learned about proportions at brainly.com/question/24372153
#SPJ1
Answer:
Volume of the empty space in the can is 327.05 
Step-by-step explanation:
Given:
Number of golf ball the can holds = 4
Diameter of the golf ball = 5 cm
To Find:
Volume of the empty space in the can = ?
Solution:
Step 1: Finding the volume of one golf ball
Ball is shape of the sphere
So lets use the volume of the sphere formula
Volume of the golf ball = 
Radius =
= 2.5 cm
Substituting the values
Volume of the golf ball
=
=
= 
= 
= 65.41
Step 2: Finding the volume of empty space of the can
volume of empty space of the can = volume of 5 golf ball
= 5 X 65.41
= 327.05
The equation for Louis's purchase is: 
The equation for Kate's purchase is: 
The equation for Biff's purchase is: 
Step-by-step explanation:
First of all we have to define variables for each item involved in the purchase
Let x represent burger
y represent soda
z be the slice of pizza
Then
"Louis bought a burger and soda for $8"
"Kate purchased a slice of pizza and soda for $9"
"Biff purchased a burger, a slice of pizza and a soda for $13.50"
The equation for Louis's purchase is:
The equation for Kate's purchase is:
The equation for Biff's purchase is:
Keywords: Linear Equations, Variables
Learn more about Linear equations at:
#LearnwithBrainly
The Last on = 45x^2 - 2x - 8
Reason being is because you would group and multiple:
(9x - 4) • (5x +2)
The expressions that simplifies to 41 are:
a) 10 + 2³ * 4 - 1
d) 10 + (2³ * 4) - 1
Information about the problem:
a) 10 + 2³ * 4 - 1
b) 10 + 2³ * (4 - 1)
c) (10 + 2³) * 4 - 1
d) 10 + (2³ * 4) - 1
We solve the equations respecting the level of hierarchy:
- First the operations in parentheses, then brackets and finally braces.
- Of the arithmetic operations, first the multiplication and divisions and then the additions and subtractions.
a) 10 + 2³ * 4 - 1
10 + 8*4 - 1
10 + 32 - 1
42 - 1
41 (it applies)
b) 10 + 2³ * (4 - 1)
10 + 8 * (3)
10 + 24
34 (it doesn't applies)
c) (10 + 2³) * 4 - 1
(10 + 8) * 4 - 1
18*4 - 1
72 - 1
71 (it doesn't applies)
d) 10 + (2³ * 4) - 1
10 + (8*4) - 1
10 + 32 -1
42 - 1
41 (it applies)
<h3>What are algebraic operations?</h3>
We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
Learn more about algebraic operations at: brainly.com/question/3927786
#SPJ4
