Answer:
The original price was $312.50
Step-by-step explanation:
If the vacuum was marked down by 20%, that means it was sold for 80% of the full price. It was sold for $250, so 80% of the original price is $250.
Let's set up an equation.
80/100 of x = 250
0.8 • x = 250
Divide both sides by 0.8.
x = 312.50
The original price was $312.50
Hope this helps!
Yes, that is the famous first Pythagorean triplet: 3²+4²=5²
or
For three lengths to be able to form a triangle, it suffices that every one of those lengths is shorter than the sum and longer than the difference of the other two.
It is enough to check just one side.
So,
3 + 4 > 5
4 - 3 < 5
Your triangle is constructible.
Answer:
Step-by-step explanation:
Use a cofunction identity on the right hand side or left hand side...
So 
.
We have the equation:
Make the above replacement:
Since cotangent has period 180 degrees, we can also write this as:
So solving the following will give us a set of solutions for 
:
Add on both sides:
Subtract 10 on both sides:
Divide both sides by 2:
Symmetric property:
The answer is that he has a 40% chance
10*100=1000
1000/25=40
Making it a 40% chance
Answer:
28 short race volunteers
76 long race volunteers
Step-by-step explanation:
Let :
Short races = a
Long races = b
LAST YEAR:
7a + 8b = 804 - - - - (1)
THIS YEAR:
11a + 5b = 688 - - - (2)
Multiply (1) by 5 and (2) by 8
35a + 40b = 4020
88a + 40b = 5504
Subtract
-53a = - 1484
a = 1484 / 53
a = 28
Put a = 28 in equation (1)
7(28) + 8b = 804
196 + 8b = 804
8b = 804 - 196
8b = 608
b = 76
28 short race volunteers
76 long race volunteers
