Answer:
The company sold 100 widgets and 250 gizmos.
Step-by-step explanation:
Let 
be the number of widgets sold and 
be the number of gizmos sold.
We are told that the company sold 350 items. We can represent this information in an equation as:
We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.
We can represent this information in an equation as:
From equation (1), we will get:
Substitute this value in equation (2):
Therefore, the company sold 100 widgets.
Substitute in equation (1):
Therefore, the company sold 250 gizmos.
Answer:
19.625
Step-by-step explanation:
If the square's diagonal is 5 and the circle is inscribed in it, that means that the radius is 2.5
2.5^2*3.14
=19.625
Answer:
12
Step-by-step explanation:
Given that
Current count of pushups = 8
Number of increase in pushups each day = 2
The desired pushup goal on daily basis = 30
Days require = x= ?
as we can conclude the number of pushups would increase by following sequence
8, 10, 12, 14, 16, ......30
Now as we can be the number of pushups by a constant number each day it means this sequence is arithmetic.
First term of our sequence is X1 and the final term is Xn, and the difference between two consecutive terms (Common Difference) is 2.
So
X1 = 8
Xn = 30
d = 2
Using the formula of nth term for arithmetic sequence
Xn = X1 + (n-1)d
Substituting the values
30 = 8 + (n-1)2
30-8 = (n-1)2
22 = 2n -2
22+2 = 2n
2n = 24
n = 24/2
n = 12
So, it means on the 12th day he will have to do 30 pushups if he starts from 8 and increase 2 pushups each day.
Answer:
raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. (given)
thus, rate of draining of water gallons per minute = -1.5
amount of water remaining in the bathtub = y,
the function of the time in minutes that it has been draining = x, .
at 0 minutes the amount of water is 40 gallons.
thus,the volume of water is 40 is decreasing at the rate of 1.5 gallons per minute
the given function is a linear function
y = 0
however, the volume of water can be 0 but cannot ever be negative.
thus, the range of y will be all real numbers such that 0≤y≤40
Step-by-step explanation:
