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Oxana [17]
3 years ago
9

What is the value of triangle in the equation shown? 8 x 4 = (triangle x 7) - (triangle x 3)

Mathematics
1 answer:
GarryVolchara [31]3 years ago
7 0

9514 1404 393

Answer:

  triangle = 8

Step-by-step explanation:

The right side can be factored so that you have ...

  8 x 4 = (triangle x 7) - (triangle x 3)

  8 x 4 = triangle x (7 - 3) . . . . use the distributive property

  8 x 4 = triangle x 4 . . . . . . simplify

  8 = triangle . . . . . . . . . . divide both sides by 4

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If m(x) = x2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)?
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(x^2 +3)(5x+9)

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3 0
3 years ago
A shelter in the city house birds and dogs . There are 25% more dogs then birds. If there are 50 birds how many dogs are there?
AfilCa [17]

Answer:

They have 83 dogs and 50 birds.

There are 133 animals in total in the shelter.

Step-by-step explanation:

So let's call the dogs D and the birds B.

D = 25% + B

What ever the amount of animals, the total for D must always be 25% more than B.

To get 100% of the animals, B must equal 37.5% and D must equal 62.5%.

The way I worked this out was:

100% - 25%= 75%

75% divided by 2= 37.5%

37.5% + 25%= 62.5%

And just to check

37.5% + 62.5% = 100%

So to work out 100%:

37.5% = 50

divide both by 37.5 to get 1%

1% = 1.333333

time both by 62.5 to get 62.5%

62.5% = 83.333313

We'll round that answer because I'm pretty sure they don't have a .333313th of a dog.

So D = 62.5% = 83

They have 83 dogs and 50 birds.

Phew! That was the hard part. Now onto something wayyy easier.

To get the total number of animals in the shelter we just do 83 + 50, which is 133.

There are 133 animals in total in the shelter.

Hope this helps you :)

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