Answer:
x = 4
Step-by-step explanation:
1.3x - 10 = 0.8x - 8
Add 10 to both sides.
1.3x = 0.8x + 2
Subtract 0.8x from both sides.
0.5x = 2
Divide by 0.5.
x = 4.
Proof:
1.3x - 10 = 0.8x - 8
1.3(4) - 10 = 0.8(4) - 8
5.2 - 10 = 3.2 - 8
-4.8 = -4.8
Answer:
Step-by-step explanation:
789.69 inches of fabric on headbands.....29 players and 4 coaches....so 33 people......789.69 / 33 = 23.93 inches per player (headbands)...
he uses 259.26 inches of fabric on wristbands....for 29 players...
259.26 / 29 = 8.94 inches per player (wristbands)
so the total amount of fabric (headbands and wristbands) per player is :
23.93 + 8.94 = 32.87 inches of fabric
Answer:
of the circle is shaded.
Step-by-step explanation:
Circle Consists of 3 parts.
First part is the shaded part.
Now Given:
Portion of Second part = ![\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D)
Also Given:
Portion of Third part = ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
We need to find the portion of shaded part.
Solution:
We know that 1 whole circle is divided in 3 parts.
So Portion of shaded part will be equal to 1 circle minus Portion of Second part minus Portion of third part.
framing in equation form we get;
Portion of shaded part = ![1-\frac{1}{5}-\frac{1}{3}](https://tex.z-dn.net/?f=1-%5Cfrac%7B1%7D%7B5%7D-%5Cfrac%7B1%7D%7B3%7D)
Now taking LCM for making the denominator common we get;
Portion of shaded part =![\frac{1\times15}{15}-\frac{1\times3}{5\times3}-\frac{1\times5}{3\times5} = \frac{15}{15} - \frac{3}{15}-\frac{5}{15} = \frac{15-3-5}{15} = \frac{7}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B1%5Ctimes15%7D%7B15%7D-%5Cfrac%7B1%5Ctimes3%7D%7B5%5Ctimes3%7D-%5Cfrac%7B1%5Ctimes5%7D%7B3%5Ctimes5%7D%20%3D%20%5Cfrac%7B15%7D%7B15%7D%20-%20%5Cfrac%7B3%7D%7B15%7D-%5Cfrac%7B5%7D%7B15%7D%20%3D%20%5Cfrac%7B15-3-5%7D%7B15%7D%20%3D%20%5Cfrac%7B7%7D%7B15%7D)
Hence We can say that
of the circle is shaded.
This is always a rectangle, because it will have 2 sides parallel the bases, and the other 2 sides are perpendicular to any line in the plane of the bases (property of a prism) this makes them parallel as well, because they are perpendicular to parallel lines and makes the shape a rectangle.
Answer:
195 miles
Step-by-step explanation:
This is because it is closer to the avg. 192.5 miles