5 offices = x offices
6 hours 12 hours
quick math shows that it's 10 offices
Answer:
x = 0, 51
Step-by-step explanation:
<u>→First, you need to factor out the GCF (Greatest Common Factor), which is -0.03x, like so:</u>
-0.03x (x - 51) = 0
<u>→Remove the -0.03 by divide it by both sides:</u>
x(x - 51) = 0
<u>→Separate each, like so:</u>
x = 0
x - 51 = 0
<u>→Solve for x:</u>
x - 51 = 0
x = 51
<u>Your solutions are, 0 and 51.</u>
The volume of a stack of identical circular drink coasters, each 1 centimeter thick, can be found using the function v(r)=8(3.14)(r)^2, where r is the radius of a coaster. What does the constant 8 in the function represent?
The constant 8 represents the height of the stack and hence the number of coasters.
6x + y = 28. The standard form of the equation that is parallel to y = -6x + 5 and goes through point (4, 4) is 6x + y = 28.
The equation is written in the slope-intercept form y = mx +b. So:
y = -6x + 5
The slope m = -6
Since the slopes of parallel lines are the same, we are looking for a slope line m = -6 and goes through point (4, 4).
With the slope-intercept form:
y = mx + b
Introducing the slope m = -6:
y = -6x + b
Introducing the point (4, 4):
4 = -6(4) + b
b = 4 + 6(4)
b= 24 + 4
b = 28
Then
y = -6x + 28
write the equation in standard form ax + by = c:
y = -6x + 28
6x + y = 28
Answer:
x = 1.25, y = 1.75
Step-by-step explanation:
The smaller and larger triangles are similar triangles. (the 2 triangles have the same angles).
We know that the smaller triangle has length 8 for it's bottom side when the larger triangle has length 10. This means the scale factor between the 2 is 10 / 8 which is 1.25. Therefore by multiplying the side lengths of the smaller triangle by 1.25 we get the side lengths of the larger triangle.
5 * 1.25 = 6.25
7 * 1.25 = 8.75
However we don't want the whole side lengths we want x and y, We need to subtract 5 and 7 respectively from the lengths of the larger triangles.
Therefore the lengths must be: 6.25 - 5 = 1.25
and 8.75 - 7 = 1.75
Therefore x and y equal 1.25 and 1.75
