We are given dimensions of model and actual figure.
model: 9.5cm actual : 30.5m.
We need to find the length of actual shape for the scale factor 5cm.
Let us assume actual length be x m.
Let us set a proportion now.
<h3>5 : x = 9.5 : 30.5</h3>
Let us convert proportion into fractions.

On cross multiplying, we get
9.5x = 5× 30.5
9.5x = 152.5.
On dividing both sides by 9.5, we get

x=16.05.
<h3>Therefore, the scale factor for a model is 5cm= 16.05 m.</h3>
Answer:
she needs to buy 4 boxes since she can't buy a part of a box. assuming total boxes means completely filled boxes, then she fills 3
Step-by-step explanation:
Answer:
An equation in slope-intercept form of the line will be
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept
Given the points
Finding the slope between (-1,-1) and (1,0)




substituting m = 1/2 and (-1, -1) in the slope-intercept form of the line equation to determine the y-intercept



Add 1/2 to both sides


substituting m = 1/2 and b = -1/2 in the slope-intercept form of the line equation



Therefore, an equation in slope-intercept form of the line will be
The answer for the question shown above is the first option, which is:
- Direct.
The explanation is shown below:
1. The problem says that <span>The number of tons of coal varies as the number of hours.
2. Therefore, you can write the following equation:
number of tons:x
number of hours:y
x=ky
Where k is the constant of variation.
3. Therere the variation is direct.</span>
Percentage by which the average value of mid sized car decreases each year = 8%
Retail value of a car today = v dollars
Amount of decrease in the value of the car after 1 year = (8/100) * v
= 2v/25 dollars
Then
The equation that represents the value of the car after 1 year = v - (2v/25) dollars
= (25v - 2v)/25 dollars
= 23v/25 dollars
So following this expression the value of the mid sized car can be easily determined after 1 year. I hope this is the answer you were looking for and the procedure is also clear to you.