The function in terms of the time (t) is t=d/r and the value of the time (t) for the given values is 5.
<h3>Linear Function</h3>
An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=2x+7. Where:
a= the slope
b=constant term that represents the y-intercept.
For the given example: a=2 and b=7.
In the exercise is asked the equation for the time (t) in the function of the distance (d) and the rate (r).
Thus, if d=rt, we will have t= d/r
Replacing the variables for the given values for finding t. The question gives:
distance (d) =40
rate (r) = 8
Thus, you will have t= 40/8. Then, t=5
Therefore, the answer is the fourth option.
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Factors are numbers that can be multiplied by an integer to obtain the desired integer
The size of the human hair is <u>1.0 × 10⁻⁴ meters </u>
Reason:
The given parameters are;
The size of an hydrogen atom is 5 × 10⁻¹¹ meters
The width of the human hair is 6 times as big
Therefore, we have;
The width of the human hair is 2 × 10⁶ times as big, therefore, we have;
The size of the human hair = 5× 10⁻¹¹ × 2 × 10⁶ = 1.0 × 10⁻⁴
The size of the human hair is <u>1.0 × 10⁻⁴ meters</u>
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Answer:
5 bags
Step-by-step explanation:
Given Marianne buys 16 bags of potting soil which come in 5/8 pound bags
The above provides 10pounds of potting soil already
Now her father says he needs 13 pounds So Marianne should get an extra of 13 - 10 =3 pounds of potting soil
We know that 1 bag contains 5/8 pounds of potting soil
x bags contain 3 pounds of potting soil
On cross multiplication we get

x =
since x is an integer x = 5 bags
Note that an extra amount of soil will be remained unused