Volume of a cube 3.8 ft 1.1 ft
1 answer:
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Answer:
Width: 7
Length: 14
Step-by-step explanation:
The area of a rectangle can be found my multiplying the length by the width. We do not know neither the length nor the width. However, we do know that the length is 7 feet longer than the width. Because we do not know the value of either side, let's let represent the width.
Since the length is 7 feet longer, we can represent the length by .
Now that we have our values for the length and the width we can multiply them together to find our area.
Now we have our equation, so we can address the changes made by the original question. The original question states that when 7 is added to both the length and width the area becomes 3 times larger. To do so simply increase each side by 7 by adding 7 to the original values.
And multiply our area by 3.
set these equal to each other to find your new equation.
Now you need to solve for . To do this first muliply
and
.
Then multiply
Now you can begin solving for .
Subtract from both sides.
Subtract from both sides.
Divide by 2.
And finally take the sqaure root of both sides.
Remember, because we are dealing with length, there cannot be negative. So while normally we would get both +7 <em>and</em> -7, in this case we <em>only </em>get +7.
Now that we have the value of , we can plug it into our original values.
For width we simply get 7.
For length we get 7+7=14
To check our answer we cna multiply 7 by 14 to get 98. Then we can add 7 to our length and width to get 14 and 21. Multiply these together and we get 294. 294 divided by 3 is 98, proving our answer correct.
Answer: 1. D) 30
2. A) 8
3. B) 4/15
4. A) 2/9
5.D) 64%
Step-by-step explanation:
1. Since, here the tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green token.
Thus, the total token = 10 blue tokens+ 8 green tokens+ 12 red tokens = 30 token
Therefore, If the first draw is a green token, Then total outcomes that will possible = 30.
2. Since, getting green is an event with 8 favorable outcomes.
Therefore, If the first draw is a green token, Then total favorable outcomes that will possible = 8.
3. The possibility of getting green in first drawn, P(G) =
P(G) =
4. Here, Number of red socks= 5
Number of white socks = 2 and Number of blue socks=3
Therefore total socks = 10
⇒ Probability of picking a pair of red socks,
P(R)=
⇒ P(R)= 2/9
5. Since, here coin is flipped 50 times and lands on heads 32 times.
Therefore, experimental probability that coin will land on heads on the next flip = (total times in which head appears/ total number of experiments) × 100 = (32/50)×100=64%