Answer:
Width of the room = 5 meters
Step-by-step explanation:
the rectangular living room is calculated as length * width
The area is given to be equal to 40 sq. meters (area = 40 sq. meters)
Let the width = x meters
Length = X+3 meters
Area = Length * Width
40 = X * (X+3)
40 = X^2 + 3X
We solve this quadratic equation
So x = 5 or x= -8
Width cannot be negative, so we reject x =-8
So x = 5 is the answer
Answer:
What is the ratio of boys to girls in simplest form?
The ratio of boys : girls →4:5 so you have 4 boys and 5 girls making the whole count 4+5=9 in its simplest form. So to change the ratio proportion into fraction proportion we have: boys →49 of the whole
Step-by-step explanation:
You can rent a paddleboat at Lake Isabel. The cost is $15 for the first hour - then $9 for each hour after that. Use this information to complete the following: Write an equation in slope intercept form that represents the cost (y) of the rental based on the number of hours (x) you rent it. b) What is the y intercept of your equation? c) What does this mean in the context of the situation? d) What is the slope of your equation? e) What does this number mean in the context of the situation? f) Graph the line that is represented by your equation. Make sure to clearly label the axis. g) How much will it cost to rent the paddleboat for 4 hours? Show how you found your answer algebraically. Also show and explain where this information can be found on your graph.
The individual-size box of cereal is a rectangular prism with a volume of 44.625 inches³.
<h3>What is the volume of a rectangular prism?</h3>
The volume of rectangular prism of length l, width w and height h is given by:
V = lwh.
In this problem, the standard dimensions are:
- l = 3(1/2) = 3 + 0.5 = 3.5 inches.
- w = 8(1/2) = 8 + 0.5 = 8.5 inches.
The individual-size box has a 1/10 of the volume of the original box, hence:
V = 0.1 x 3.5 x 8.5 x 15 = 44.625 inches³.
More can be learned about the volume of a rectangular prism at brainly.com/question/17223528
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Answer for problem 1: slope = 2, y intercept = 3
Answer for problem 2: slope = 3/4, y intercept = -2
Explanation:
Both equations are in the form y = mx+b. This is known as slope intercept form. This is because we can read off the values of the slope and y intercept very quickly. We have y = 2x+3 match up with y = mx+b. The m is the slope and b is the y intercept. So m = 2 and b = 3 for this equation. A similar situation happens with the other equation as well. It might help to rewrite the second equation into y = (3/4)x + (-2).
