Answer:
The answer is C
Step-by-step explanation:
Use the Pythagoras theorem which states that a2 = b2 + c 2
For easier understanding imagine a straight line along the x axis. At (0,0) we have Atlanta. Moving 21 units to our right we have Columbia. This is represented on the coordinate system by (21, 0). To go from Colombia to Charleston, which is located at (24, -11), we need to travel 3 units right along the x- axis to reach ‘24’ and ‘11’ units down along the y- axis to reach (24, -11). Starting from Colombia we can make an imaginary triangle with its perpendicular being the y- component and its base being the x- component, which as we have stated above is ‘-11’ and ‘3’ respectively
Now applying the Pythagoras theorem to calculate the hypothesis and hence the distance between Colombia and Charleston.
a, which represents the distance between Colombia and Charleston would be
a² = b² + c²
a² = (3)² + (-11)²
a = √[(3)² + (-11)²]
Hence the answer is C
If she is making 6 costumes that need 3 7/9 yards each, the equation would be 6 x 3 7/9.
The answer to that equation would be 22 2/3.
How to get the answer:
3 x 6 = 18
7 x 6 = 42 (the seven is from the 7/9)
42/9 = 4 2/3
then add the eight teen and the 4 2/3 and you get 22 2/3.
Answer:
-365
Step-by-step explanation:
-3x+7(-6-50)
- -3(-9)+7(-6-50)
- 27+7(-6-50)
- 27-42-350
- -15-350
- =-365
Answer:
48 cups
Step-by-step explanation:
4 gallons = 64 cups
1 gallon = 64 ÷ 4
1 gallon = 16 cups
3 gallons = 16 * 3 = 48 cups
First we are gonna find the 3% of $3000 and take it from the $157.50.
3000 x 0.03 = $90
157.60 - 90 = $67.50
Then we are gonna find the amount that 4.5% of is equal to $67.50.
4.5/100=67.50/x (cross multiply)
4.5x = 67.50x100
4.5x = 6750 (divide both sides by 4.5)
4.5x/4.5 = 6750/4.5
x = 1500
Therefore the amount she earned in sales is $3000 + $1500 = $4500