Answer:
108 cm²
Step-by-step explanation:
Area of a rectangle, A = length, l × width, w
Perimeter of a rectangle = (2 × length) + (2 × width)
42 cm = 2l + 2w
<em>but</em><em> </em>length = w + 3cm
42 cm = 2(w + 3cm) + 2w
42 cm = 2w + 6cm + 2w
42 cm = 6cm + 4w
4w = (42 - 6) cm
4w = 36 cm
》w = 9cm
》l = w + 3cm = 9cm + 3cm
l = 12 cm
Area = 12 × 9 = 108 cm²
Answer:
Step-by-step explanation:
The linear equation in standard form is written in the form :
ax + by = c
Therefore : 12x = -9y + 7 in standard form will be :
12x + 9y = 7
Answer:
a. 3/4 inches per minute
b. -1 1/8 inches per minute
c. B is fastest; 1 1/8 is more than 3/4
Step-by-step explanation:
A <em>change</em> is a <em>difference</em>. A <em>rate of change</em> is <em>one difference divided by another</em>, usually the change in y-value divided by the change in x-value.
__
<h3>a.</h3>
The change in elevation is the difference between the elevation at the end of the period (6 inches) and the elevation at the beginning of the period (3 inches). The change in time period is the difference between the end time (8 min) and the beginning time (4 min).
change in elevation per minute = (6 -3 inches)/(8 -4 min)
= (3 inches)/(4 min) = 3/4 inches/minute
__
<h3>b.</h3>
Similarly, ...
change in elevation per minute = (3 -7 1/2 inches)/(18 -14 min)
= (-4 1/2 inches)/(4 min) = -1 1/8 inches/minute
__
<h3>c.</h3>
We know that 3/4 is more than -1 1/8, but when we talk about the "fastest rate of change", we're generally interested in the magnitude--the value without the sign. That means we understand a rate of change of -1 1/8 inches per minute to be "faster" than a rate of change of 3/4 inches per minute.
The rate of change from Part B is fastest. 1 1/8 inches per minute is more than 3/4 inches per minute.
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
Answer:
5 + 8 × 4
Assuming "five and eight" means 5 + 8
