Answer; (11x−13y)(2x−y)
Step-by-step explanation:
Answer:
Adult= $11
Children = $7.5
Step-by-step explanation:
Let x represent adult ticket and y represent children ticket
2x + 3y= 44.50........equation 1
3x + 6y= 78........equation 2
From equation 1
2x + 3y= 44.50
2x= 44.50-3y
x= 44.50-3y/2
Substitute 44.50-3y/2 for x in equation 2
3x+ 6y= 78
3(44.50-3y/2) + 6y= 78
66.75- 4.5y +6y= 78
66.75 + 1.5y= 78
1.5y= 78-66.75
1.5y= 11.25
y= 11.25/1.5
y = 7.5
Substitute 7.5 for y in equation 1
2x + 3y = 44.50
2x + 3(7.5)= 44.50
2x + 22.5= 44.50
2x = 44.50-22.5
2x= 22
x= 22/2
x= 11
Hence the price of adult ticket is $11 and the price of children ticket is $7.5
Answer:
The answer to your question is 9 cm
Step-by-step explanation:
Data
slant height = 15 cm
height = 12 cm
radius = ?
Process
To solve this problem, use the Pythagorean theorem. The slant height is the hypotenuse, the height is the long leg and the radius is the short leg.
c² = a² + b²
slant height² = height² + radius²
-Solve for radius
radius² = slant height² - height²
-Substitution
radius² = 15² - 12²
-Simplification
radius² = 225 - 144
radius² = 81
-Result
radius = 9 cm
The perimeter of a semicircle consists of two parts. (the curve and bottom)
That curve is half the distance around the circle, since it's been split in half.
The distance around a circle, the circumfrence, is equal to 2πr, where r is the radius of that circle. In this case, the circumfrence of the entire circle would be 16π. and so that curve would have a length of just 8π.
Using 3.14 for π, 8π = 8×3.14 = 25.12.
As for the flat part, that is the diameter (distance across) our circle.
The radius is the distance from the center of a circle to its edge, and always has half the length of the diameter. (you can break the diameter down into two radii)
If our radius is 8 meters, our diameter (the flat part of that semicircle) must be 16.
Now we add up the two parts of the perimeter...25.12 + 16 = 41.12.
To get the answer we have to multiply number of products times cost of 1 (oz/loaf/pound) and add it together.
pickles
128*0.20=25.6
bread
24*0.75=18
coffee
25*2.05=51,25
Finally we can add it.
25.6+18+51.25=94,85$ - its the answer
