Answer:
1.8
Step-by-step explanation:
Solve for x
90
x
=
81
+
25
x
2
Subtract
25
x
2
from both sides of the equation.
90
x
−
25
x
2
=
81
Subtract
81
from both sides of the equation.
90
x
−
25
x
2
−
81
=
0
Factor the left side of the equation.
Tap for more steps...
−
(
5
x
−
9
)
2
=
0
Multiply each term in
−
(
5
x
−
9
)
2
=
0
by
−
1
Tap for more steps...
(
5
x
−
9
)
2
=
0
Set the
5
x
−
9
equal to
0
.
5
x
−
9
=
0
Solve for
x
.
Tap for more steps...
x
=
9
5
The result can be shown in multiple forms.
Exact Form:
x
=
9
5
Decimal Form:
x
=
1.8
Mixed Number Form:
x
=
1
4
5
Upgrade to
9514 1404 393
Explanation:
This is a self-answering question: you solve it by graphing the equations.
<em>The solution is where the lines intersect</em>. The point of intersection of the lines is the point that satisfies all the equations for the lines, hence is a solution to the system. If they do not intersect, there are no solutions. If the lines are coincident, there are an infinite number of solutions.
__
The equations can be graphed by any of a number of methods. (My favorite is to let a graphing calculator do it.) The method of choice depends on the coefficients and the form the equations are given in. Methods of graphing are a topic for a more lengthy discussion.
Distance traveled = 70 m
Number of rotations = 29
We know, Circumference * Number of rotations = Distance traveled
So, C = 70 / 29
C = 2.41 m
Now, we know, diameter = C / π
So, d = 2.41/3.14 = 0.768
In short, Your Answer would be: 0.8 m
Hope this helps!
1)5/24
2)1 and 1/3 im not sure
3)1 and 1/3
4)1/7
Let us first find how much he is spending every year, to do this let's find his monthly expense and multiply it by 12.
Every month Cameron spends 1040 + 980 + 120 = 2140
To find out how much he spends yearly, multiply the monthly value by 12,
2140 x 12 = 25680
This value is more than his net income so he clearly has a surplus, but to check we can subtract 129 from every month to get:
(1040 + 980 + 120 - 129) = 2011
2011 x 12 = 24132, which shows that his budget is saving 129 surplus every month. Choice B is correct.