<h3>
Answer:</h3>
4 miles per hour
<h3>
Step-by-step explanation:</h3>
Unit rate is the rate of something per 1 unit. In other words, the unit rate is x units per 1 unit. In this situation, the unit rate is how many miles Hassan walks in 1 hour.
Proportion
First, to find the rate of anything we can set up a proportion. In the question, the rate is described as miles per hour, so the miles will be the numerator and the hours will be the denominator.
- This creates the proportion
So, the rate we are given is 12/3.
Unit Rate
To find the unit rate we need to make the denominator equal to 1. To do this, divide both the numerator and denominator by 3.
- 12/3 equals 4
- 3/3 equals 1
So, this means that the new proportion is 4/1. Next, we can add our units, which means that Hassan walks 4 miles per 1 hour.
Graph
Now we can resize the bar graph. The purple bar should be set to 4 because this represents the miles. Then, the green bar should be set to 1 because it represents the hours.
Answer:
D) no solution.
Step-by-step explanation:
4(x + 1) ≤ 4x + 3
First, distribute 4 to all terms within the parenthesis:
4(x + 1) = 4(x) + 4(1) = 4x + 4
4x + 4 ≤ 4x + 3
Isolate the variable, x. Treat the "≤" as an equal sign, what you do to one side, you do to the other. Subtract 4x and 4 from both sides:
4x (-4x) + 4 (-4) ≤ 4x (-4x) + 3 (-4)
4x - 4x ≤ 3 - 4
0 ≤ -1
Since x was eliminated from the inequality, and you need the x for the inequality, your answer is D) no solution.
~
Counting numbers are whole integers starting from 1 and going to infinity. It doesn't include negative numbers or zero.
Therefore, the set would be:
{1, 2, 3, 4, 5, 6, 7, 8, 9}
Answer:
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Step-by-step explanation:dddfd
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I am going to show you how easy this is. Once you understand, you will be able to do this forever.
:
Assuming the side of the rectangle are (L) length and (W) width, the perimeter:
2L + 2W = 234
:
"the rectangle is twice as long as it is wide,", the equation for this statement:
L = 2W
:
In the first equation, we can replace L with 2W, then we have
2(2W) + 2W = 234
4W + 2W = 234
6W = 234
Divide both sides by 6
W = 234%2F6
W = 39 meters is the width
:
Remember it said the length is twice the width, therefore:
L = 2(39)
L = 78 meters is the length
:
:
Check this by finding the perimeter with these values
2(78) + 2(39) =
156 + 78 = 234
