Answer:
The surface area of the square prism is ![104\ cm^{2}](https://tex.z-dn.net/?f=104%5C%20cm%5E%7B2%7D)
Step-by-step explanation:
we know that
The surface area of the square prism is equal to
![SA=2b^{2} +4bh](https://tex.z-dn.net/?f=SA%3D2b%5E%7B2%7D%20%2B4bh)
where
b is the length side of the square base
h is the height of the prism
In this problem we have
![b=2\ cm](https://tex.z-dn.net/?f=b%3D2%5C%20cm)
![h=12\ cm](https://tex.z-dn.net/?f=h%3D12%5C%20cm)
substitute
![SA=2(2)^{2} +4(2)(12)=104\ cm^{2}](https://tex.z-dn.net/?f=SA%3D2%282%29%5E%7B2%7D%20%2B4%282%29%2812%29%3D104%5C%20cm%5E%7B2%7D)
Answer:
$5 + 2.50k ≤ $20
6 kilometers
Step-by-step explanation:
Puedes viajar con $15 porque gastaste 5 en la tarifa base. 15 dividido por 2,5 es 6, por lo que puedes viajar 6 kilómetros con $20.
Answer:
20
Step-by-step explanation:
first do 75/50 = 1.5
then multiply red by 1.5
13 landed on red so
13 x 1.5 = 19.5
but since you round up it is 20
Since we know that 1/4 is equal to 25%, or 0.25 in decimal form, we are able to work with 0.75 in the expression.
We are told to use j as the original price of the jeans, so we can set up the expression:
![j-0.25j](https://tex.z-dn.net/?f=%20j-0.25j%20)
to represent the cost of the jeans with the discount.
Then to simplify, we simply take out j as a common factor, and solve what's in the parentheses:
![j(1-0.25)](https://tex.z-dn.net/?f=%20j%281-0.25%29%20)
or ![0.75j](https://tex.z-dn.net/?f=%200.75j%20)
Using this equation, we can solve for the b part of the question. If the pair of jeans originally costs $60, plug in 60 to where j is in the expression:
![0.75j](https://tex.z-dn.net/?f=%200.75j%20)
![0.75(60)=45](https://tex.z-dn.net/?f=%200.75%2860%29%3D45%20)
Therefore, the cost of the jeans after the discount is C) $45.
Answer:
the sequence begins as {4, 7, ... }
Step-by-step explanation:
a(n) = 3n + 1
The first term is a(1) = 3(1) + 1 = 4, and
the second term is a(s) = 3(2) + 1 = 7
So the sequence begins as {4, 7, ... }