Answer:
7x-9
Step-by-step explanation:
Answer:
Step-by-step explanation:
4.5b + 8.5c = 175
b + c = 22.......b = 22 - c
4.5(22 - c) + 8.5c = 175
99 - 4.5c + 8.5c = 175
-4.5c + 8.5c = 175 - 99
4c = 76
c = 76/4
c = 19......there are 19 cats
b + c = 22
b + 19 = 22
b = 22 - 19
b = 3 <==== there are 3 birds
Answer:
The value of MB = 8.4
Step-by-step explanation:
We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.
Thus,
For the given triangle ΔJKL,
- The point M is the centroid of the triangle.
We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.
Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.
In our case,
The median KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.
i.e.
KM = 2 MB
Given KM = 16.8
so substitute KM = 16.8 in the equation KM = 2 MB
16.8 = 2 MB
MB = 16.8/2
MB = 8.4
Therefore, the value of MB = 8.4
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope: 2
y-intercept: (0, -1)
<u>x | y
</u>0| -1
1 | 1
Step-by-step explanation:
Answer:
51 DVDs
Step-by-step explanation:
Let the number of DVDs and CDs sold be x each.
<u>Initial</u>
Number of DVDs= 86
Number of CDs= 52
<u>After selling</u>
Number of DVDs= 86 -x
Number of CDs= 52 -x
Given that there are 3 times as many DVDs than CDs left,
86 -x= 3(52 -x)
<em>Expand:</em>
86 -x= 156 -3x
<em>Bring x terms to 1 side, constant to the other:</em>
3x -x= 156 -86
<em>Simplify:</em>
2x= 70
<em>Divide both sides by 2:</em>
x= 35
Amount of DVDs left
= 86 -x
= 86 -35
= 51
