Isolate the variable by dividing each side by factors that don't contain the variable.
x = −1
Full question:
Heng was trying to factor 10x²+5x. She found that the greatest common factor of these terms was 5x and made an area model: What is the width of Heng's area model?
Answer:
The width of the area model is 2x + 1
Step-by-step explanation:
Given
Expression: 10x² + 5x
Factor: 5x
Required
Width of the Area Model
To solve this, I'll assume the area model is Length * Width
Provided that we're to solve for the width of the model.
This implies that; Length = 5x
Area = Length * Width
And
Area = 10x² + 5x
Equate these two
Length * Width = 10x² + 5x
Factorize express on the right hand side
Length * Width = 5x(2x + 1)
Substitute 5x for Length
5x * Width = 5x(2x + 1)
Divide both sides by 5x
Width = 2x + 1
Hence, the width of the area model is 2x + 1
A 5x2=10 I think it’s right
Answer:
Volume of the carton = 43 3/4 feet ³
Step-by-step explanation:
Volume of the carton = length × width × height
length = 2 1/2 feet
width = 3 1/2 feet
height = 5 feet
Volume of the carton = length × width × height
= 2 1/2 feet × 3 1/2 feet × 5 feet
= 5/2 × 7/2 × 5
= (5*7*5) / (2*2)
= 175 / 4
= 43 3/4 feet ³
Volume of the carton = 43 3/4 feet ³
The percentage of these cars with a fuel efficiency less than 32 mpg is; 90%
<h3>
How to Find the percentage?</h3>
We are can the efficiencies of 10 cars in mpg.
Now, among the 10 cars, the number of cars that have an mpg less than 32 mpg are 9 cars.
Thus, percentage of these cars with a fuel efficiency less than 32 mpg is;
Percentage = 9/10 * 100%
Percentage = 90%
Complete question is;
Here are the fuel efficiencies (in mpg) of 10 new cars; 28, 24, 29, 18, 13, 43, 38, 14, 49, 32. What is the percentage of these cars with a fuel efficiency less than 32 mpg?
Read more about Percentage at; brainly.com/question/843074
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