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4 years ago

If the statement shown is rewritten as a conditional statement in if-then form, which best describes the conclusion?

Mathematics

1 answer:

mash [69]4 years ago

5 0

Answer:

Correct statement: "the number is divisible by 3".

Step-by-step explanation:

The statement provided is:

When a number is divisible by 9, the number is divisible by 3.

The general form of a conditional statement in if-then form is:

$p\rightarrow q$

This implies that if p, then q.

The part after the "if" is known as the hypothesis and the part after the "then" is known as the conclusion.

The if-then form of the provided statement is:

If a number is divisible by 9, then the number is divisible by 3.

So, the conclusion is:

"the number is divisible by 3"

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Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know that it takes 12 h using both

Leokris [45]

Answer:

Jim's hose: 27 hours.

Bob's hose: 21.6 hours.

Step-by-step explanation:

Let t represent hours taken by Jim's hose.

Part of pool filled by Jim's hose in 1 hour would be $\frac{1}{t}$ .

We have been given that Bob's hose, used alone, takes 20% less time than Jim's hose alone. This means that Bob's hose take will take 80% time of Jim's hose that is $0.8t$ .

Part of pool filled by Bob's hose in 1 hour would be $\frac{1}{0.8t}$ .

We are also told that it takes 12 hours using both hoses. Part of pool filled by both hoses in 1 hour would be $\frac{1}{12}$ .

Now, we will add rates of both hoses and equate with $\frac{1}{12}$ as:

$\frac{1}{t}+\frac{1}{0.8t}=\frac{1}{12}$

$\frac{0.8}{0.8t}+\frac{1}{0.8t}=\frac{1}{12}$

$\frac{0.8+1}{0.8t}=\frac{1}{12}$

$\frac{1.8}{0.8t}=\frac{1}{12}$

Cross multiply:

$0.8t*1=1.8(12)$

$0.8t=21.6$

$\frac{0.8t}{0.8}=\frac{21.6}{0.8}$

$t=27$

Therefore, it will take 27 hours for Jim's hose to fill the pool alone.

Time take by Jim's hose alone: $0.8t\Rightarrow 0.8(27)=21.6$ .

Therefore, it will take 21.6 hours for Bob's hose to fill the pool alone.

3 0

4 years ago

Find the exact length of the third side. 48 14

Dima020 [189]

Answer:118

Step-by-step explanation:

It has to equal 180 degrees in total so 48+14=62

180-62=118

So the answer is 118

7 0

3 years ago

I’ll mark you as brainlist :)

Verdich [7]

Answer:

Step-by-step explanation:

6 ^ -7

7 0

3 years ago

The lengths of plate glass parts are measured to the nearest 1/10 mm. The lengths are discretely and uniformly distributed with

vagabundo [1.1K]

For uniform, the mean is:

x¯ = (590.0+590.9) 2
The variance is:
σ = sqrt [ (n2−1) /12 ]

 Where n=10.

The answer would be 590.45

I hope my answer has come to your help. Have a nice day ahead and may God bless you always!

8 0

3 years ago

HELP W MATH FINAL PLS

rusak2 [61]

The answer is x=-5/6

7 0

3 years ago