Answer:
Length= 30 in
Width= 10 in
Step-by-step explanation:
Let the width of the rectangle be x in.
Length of rectangle
= 3 (width)
= 3x
Perimeter of rectangle= 2(length) +2(width)
80= 2(3x) +2(x)
80= 6x +2x
8x= 80 <em>(</em><em>simplify</em><em>)</em>
x= 80 ÷8 <em>(</em><em>÷</em><em>8</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
x= 10
Thus width of rectangle= 10 in
Length of rectangle
= 3(10)
= 30 in
37 over 8 or 37/8. I plugged it in on my calculator and it was correct.
Answer:
She should order a total of 5,160 medium sized t-shirts
Step-by-step explanation:
To calculate the number of medium sized t-shirt to be ordered, we shall be using the proportion of students that wanted medium sized t-shirt in her survey to multiply the total number of students that we have.
From the question, we can identify that the probability that a student will like a medium sized t-shirt is simply 129/300
Now we have about 12000 students in the University, using the probability from the survey, the number of medium sized t shirt she should order would be;
129/300 * 12,000 = 129 * 40 = 5,160 medium sized t-shirts
(13 + x)/(50 - x ) = (2/1)
Cross Multiply
2(50-x) = 1(13 + x)
100 - 2x = 13 + x
add 2x to both sides
100 -2x + 2x = 13 + x + 2x
100 = 13 + 3x
Subtract 13 from both sides
100 - 13 = 13 - 13 + 3x
87 = 3x
divide both sides by 3
29 = x
(13 + 29)/(50-29) = 42/21 = 2 to 1 ratio
