Answer:
You will use 2 cups of blue paint for 4 cups of yellow paint.
Step-by-step explanation:
Given that:
There is 1/3 cup of blue paint for every 2/3 cup of yellow paint
We will find unit rate in terms of yellow paint.
2/3 cups of yellow paint = 1/3 cup of blue paint
Multiplying both sides by 3/2
Now,
4 cups of yellow paint = 
cups of blue paint
4 cups of yellow paint = 2 cups of blue paint
Hence,
You will use 2 cups of blue paint for 4 cups of yellow paint.
Let the value of the car be represented by V and the amount of years by y.
This gives us the following formula:
V = 25,635 - 3000y
(This is because we start with a value of $25,635 and the value decreases by $3,000 every year 'y')
Now, we want to know when the car is worth $3,135, so we know V = 3,135
Now we can make up our equation:
25,365 - 3,000y = 3,135
Collecting terms gives us:
-3,000y = -22,500
Finally we divide by -3,000 to find 'y'
y = -22,500 / -3,000 = 7.5
Hence, the car will be worth $3,135 after 7.5 years.
<span>Cone Lateral Area = (<span>π<span> • r •<span> slant height)
</span></span></span></span><span>Cone Lateral Area = (PI * 3 * 5)
</span>Cone Lateral Area =
<span>
<span>
<span>
47.1
</span>
</span>
</span>
square inches
Cone Lateral Area =
<span>
<span>
47</span></span> square inches (rounded to nearest whole number).
Answer:
16 meters
Step-by-step explanation:
The height function is given by:
The value of x, in seconds, for which the derivate of the height function is zero, is the time at which the maximum height occurs:
For x = 3 seconds, the height is:
The maximum height that the ball will reach is 16 meters.
Based on the fact that the radius of the snowball increases by 0.36 inches every second, the linear function can be found to be y = 0.36x + 1.66
<h3>How to find the linear function?</h3>
The linear function is the function that shows how to change in the rate of the independent variable would affect the rate of change in the dependent variable.
The linear function takes the form:
y = mx + b
y = dependent variable
m = slope or change in radius of snowball
x = seconds
b = y-intercept
Solving for the y-intercept gives:
3.1 = 0.36(4) + b
b = 3.1 - 1.44
= 1.66
The linear function is therefore:
y = 0.36x + 1.66
Find out more on linear functions at brainly.com/question/28029655
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