Answer:
The options are not shown, so i will answer in a general way.
Let's define the variables:
h = number of hats
m = number of mugs.
We know that a total of 1000 items were ordered, then:
h + m = 1000
We also know that we have 3 times more mugs than hats, this can be written as:
m = 3*h
Now we have the system of equations:
h + m = 1000
m = 3*h
To solve these, we usually start by isolating one of the variables in one equation and then replace that in the other equation, but in this case, we already have m isolated in the second equation, then we can replace that in the first equation to get:
h + m = 1000
h + (3*h) = 1000
Now we can solve this equation for h, and find the number of hats ordered.
4*h = 1000
h = 1000/4 = 250
There were 250 hats ordered.
Answer:
95.5
Step-by-step explanation:
you can using toa
tan = opp/adj
tan 37° = 72/x
x = 72/ tan 37°
x = 95.547 feet
x = 95.5
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:

We find the slope of the line:

Thus, the equation of the line is of the form:

We substitute one of the points and find b:

Finally, the equation is:

Answer:

Answer:
Step-by-step explanation:
a. 16b^2c^12-0.25 can be rewritten as follows because it is the difference of two squares:
(4bc^6 - .5)(4bc^6 + .5)
b. 81x^6y^2-0.36a^2
is the difference of two squares, just like (a) (above); its factors are:
(9x^3y - 0.6a)(9x^3y + 0.6a)
Answer:
the maximum height is 180 or y=180
Step-by-step explanation: