Answer:
80 m^2
Step-by-step explanation:
The given information lets you write two equations involving length (x) and width (y).
- 2(x +y) = 36 . . . . the perimeter is 36 m
- (x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area
The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.
xy +y +2x + 2 -xy = 30
2x +y = 28 . . . . . . . subtract 2
Dividing the first equation by 2 gives
x +y = 18
and subtracting this from the above equation gives ...
(2x +y) -(x +y) = 28 -18
x = 10
Then
y = 18 -10 = 8
The area of the original rectangle is xy = 10·8 = 80 m^2.
Answer:
<h3>
-2a³ + 9a² + 6ab² + 45a + 18b² </h3>
Step-by-step explanation:
(a + 3)×(−2a² + 15a + 6b²) =
= a×(−2a² + 15a + 6b²) + 3×(−2a² + 15a + 6b²) =
= -2a³ + <u>15a²</u> + 6ab² - <u>6a²</u> + 45a + 18b² =
= -2a³ + 9a² + 6ab² + 45a + 18b²
10. 14
2 * 7 <==
11. 12
6 * 2
2 * 3 * 2 = 2^2 * 3 <==
12. 15
3 * 5 <==
13. ur gonna have 3 tables that each have 4 chairs
If you would like to know how many gallons of paint will Henry need to paint his living room, you can calculate this using the following steps:
the ceiling: 24 ft * 18 ft = 432 ft squared
walls: 2 * 24 ft * 9 ft + 2 * 18 ft * 9 ft = 2 * 24 * 9 + 2 * 18 * 9 = 432 + 324 = 756 ft squared
432 ft squared + 756 ft squared = 1188 ft squared
1 gallon of paint ... 450 ft squared
x gallons of paint = ? ... 1188 ft squared
1 * 1188 = 450 * x
1188 = 450 * x /450
x = 1188 / 450
x = 2.64 gallons of paint
The correct result would be 2.64 gallons of paint.
Answer:
2/3
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
Given that there are 10 balls of which 3 green, 3 red, and the rest yellow
Number of yellow balls = 10 - 3 - 3 = 4
Probability of picking a;
Green ball = 3/10
Red ball = 3/10
Yellow ball = 4/10
If two balls are picked without replacement, the probability that one is at least yellow will be
YR RY YG GY YY
= 4/10*3/9 + 3/10*4/9 + 4/10*3/9 + 3/10*4/9 + 4/10*3/9
=12/90 *5
= 2/3
