First, the formula of the circumference.
There are two formulas:
1. C = π*d
[Note: d = diameter]
2. C = 2*π*r
[Note: r = radius]
[Note: This symbol * means to multiply.]
Since we are given the diameter, it’s easier to use the first formula, π*d. Let’s not be too hard on ourselves.
Okay, so let’s state our decided formula:
C = π*d
Then replace d with the car tire’s diameter:
C = π*(32)
Afterwards, find a calculator and multiply π with 32. You will get 100.5309649 as result.
If where to round is stated in your question, round to that. If not, it’s best to round by two decimal places. In this case, we’ll round 100.5309649 to 100.53.
Please add your units as well. In this case, the final answer will be: 100.53 inches.
Since this is a word problem, don’t forget your final statement!
“The approximate circumference of the tire is 100.53 inches.”
I believe that the answer is -18.
Using a linear function, it is found that Sarah can use 3.7 gigabytes while staying within her budget.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the flat cost as the y-intercept and the cost per gigabyte as the slope, the cost of using g gigabytes is:
C(g) = 4g + 69.
She wants to keep her bill at $83.80 per month, hence:
C(g) = 83.80
4g + 69 = 83.80
4g = 14.80
g = 14.80/4
g = 3.7.
Sarah can use 3.7 gigabytes while staying within her budget.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
The answer to your question is: when x = 100 days, y = 34 m³
Step-by-step explanation:
Data
Volumen = 61 m³
Loses 0.27 m³ each day
Equation y + 0.27x = 61
when x = 100, y = ?
Process, just substitute x in the equation and solve it for y
y + 0.27(100) = 61
y + 27 = 61
y = 61 - 27
y = 34 m³
It means that after ten days, the swimming pool will only have 34 m³, because 27 m³ will have evaporated.
By solving a system of equations, we will see that now there are 3.5kg of grapes on the basket.
<h3>How many kilograms of grapes are in the basket now?</h3>
Let's define the variables:
- x = kg of grapes on the box originally.
- y = kg of grapes on the basket originally.
We know that:
x = 2y
When we add 2kg to the basket, it has 0.5k more than the box, then:
y + 2 = x + 0.5
Then we have a system of equations:
x = 2y
y + 2 = x + 0.5
We want to solve this for y, then we can replace the first equation into the second one:
y + 2 = (x = 2y) + 0.5
y + 2 = 2y + 0.5
2 - 0.5 = 2y - y
1.5 = y
This means that, originally, there are 1.5 kg of grapes on the basket. And then we added 2kg, so now there are:
1.5kg + 2kg = 3.5kg
If you want to learn more about systems of equations:
brainly.com/question/13729904
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