Answer:
It would cost $79.31 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $74.79.
Step-by-step explanation:
Answer: 45 ft
Explanation:
Let
x = width of the pigpen
x + 15 = length of the pigpen (since the length is 15 ft longer than the width)
Since the pigpen is enclosed in a rectangle, the total length of the fence is equal to the perimeter of the pigpen. Moreover, since the farmer can't afford more than 150 ft of fencing, the total length of the fence is less than or equal to 150 ft. So, the perimeter of the pigpen is less than or equal to 150.
Since the pigpen is rectangular
Perimeter = 2[(length) + (width)]
= 2[(x + 15) + x]
= 2(2x + 15)
Perimeter = 4x +30 (1)
Since the perimeter is less than or equal to 150, using equation (1),
4x + 30 ≤ 150
4x + 30 - 30 ≤ 150 - 30
4x ≤ 120
x ≤ 30 (divide both sides by 4)
Hence,
length = x + 15 ≤ 30 + 15 = 45
So, the length cannot be more than 45 ft. Therefore, the greatest possible length is 45 ft.
Answer: what question is it?
Step-by-step explanation:
Answer:
![\frac{9}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B20%7D)
Step-by-step explanation:
We want probability that 1st is girl AND 2nd is girl as well.
In probability "AND" means multiplication and "OR" means "addition".
<u><em>We find the probabilities separately and multiply them together, since "AND".</em></u>
<u><em /></u>
- P(girl from 7th grader) = number of girl 7th grader/total number of 7th grader
=9/10
- P(girl from 8th grade) = number of girl in 8th grade/total number of 8th grader
=2/4
P(both girls) = 9/10 * 2/4 =9/20
Answer:
The correct option is III: 4.5 cm.
Step-by-step explanation:
The area of a square is the following:
(1)
Where:
A: is the area
b: is the side of the square
We have that the area is 20 cm², hence by solving equation (1) for <em>b</em> we can find the side:
![b = \sqrt{A} = \sqrt{20 cm^{2}} = 4.5 cm](https://tex.z-dn.net/?f=%20b%20%3D%20%5Csqrt%7BA%7D%20%3D%20%5Csqrt%7B20%20cm%5E%7B2%7D%7D%20%3D%204.5%20cm%20)
Therefore, the correct option is III: 4.5 cm.
I hope it helps you!