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sweet [91]
3 years ago
11

Factor the following using GCF and show work. 6x^2+42x-18

Mathematics
1 answer:
aniked [119]3 years ago
8 0
The greatest common factor is 6. Thus means we divide every part of the expression by 6.

6x^2/6 = x^2
42x/6 = 7x
-18/6 = -3

Your new expression is 6(x^2 + 7x -3).
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Which expression is equivalent to 3(8 + 7)? 24 + 7 24 + 21 11 + 10 11 + 7
Bumek [7]
Multiply 3&8 and 3&7, this expands it to 24 + 21.
8 0
3 years ago
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Given that a x 70 = b work out the value of<br>3b/a<br><br>Your final line should say, 3b/a = ...​
Leto [7]

Answer:

\frac{3b}{a}  = 210

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that  a× 70 = b

Dividing 'a' into both sides, we get

           ⇒ \frac{b}{a} = 70

we have to find the value \frac{3b}{a}

       \frac{3b}{a} = 3 X \frac{b}{a}

          = 3× 70

         = 210

3 0
3 years ago
At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
velikii [3]
This is a question that needs a bit of common sense to get to the actual answer that is desired. Firstly there is one information given .The other information has to be found from common sense. ! single handshake requires 2 people. Now we can easily determine the number of people doing 66 handshakes.
Then
The number of people required for 1 hand shake = 2
Then
The number of people required to do 66 handshakes = ( 2 * 66) people
                                                                                     = 132 people
Then it can be said that there were 132 people in the party. I hope the process of doing this problem is clear to you.
4 0
3 years ago
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A game includes a number a cube and a spinner divided into 5 equal sectors. Each player rolls the the number cube and spins the
ss7ja [257]
There are so many possible outcomes so maybe this will help...

Rolling    Spinning
1               1
1               2
1               3
1               4
1               5
2               1
2               2
2               3
2               4
2               5
3               1
3               2
3               3
3               4
3               5
4               1
4               2
4               3
4               4
4               5
5               1
5               2
5               3
5               4
5               5
 So if you take the time to add these up (Lol) you'd get 30
So there are 30 possible outcomes!

)Sorry for the really long answer i was just trying to help you understand)




6 0
3 years ago
The circumference of the Astrodome in Houston, Texas is 2,230 ft. Find the area of the astrodome and explain how you did this us
Degger [83]

Answer:

The radius of Astrodome is 355.09 foot,

The Area of Astrodome is 395919.146 square foot .

Step-by-step explanation:

Given as :

The circumference of Astrodome = 2230 foot

∵ The circumference of circular shape = 2 × \pi × radius

where  \pi = 3.14

So, The circumference of Astrodome = 2 × \pi × radius

Or, 2230 foot = 2 × 3.14 × radius

Or, 2230 foot = 6.28 × radius

∴ radius = \dfrac{2230}{6.28}

I.e radius = 355.09 foot

Now,

∵The area of circular shape = \pi × radius²

So, The area of Astrodome = \pi × radius²

Or, The area of Astrodome = 3.14 × radius²

Put the value of radius = 355.09 foot

So , The area of Astrodome = 3.14 × (355.09)²

or, The area of Astrodome = 3.14 × 126088.9

∴  The area of Astrodome = 395919.146 square foot

Hence , The radius of Astrodome is 355.09 foot, and The Area of Astrodome is 395919.146 square foot . Answer

4 0
3 years ago
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