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xeze [42]
3 years ago
15

9(2x + 10) = 2(9x+ 45)

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
7 0

Answer:

infinite solutions

Step-by-step explanation:

9(2x + 10) = 2(9x+ 45)

Distribute

18x+90 = 18x +90

Subtract 18x from each side

18x-18x+90 = 18x-18x+90

90=90

Since this is always true, the equation has infinite solutions.

X can be any number

Delicious77 [7]3 years ago
4 0

Answer:

infinitely many solutions

Step-by-step explanation:

1) distribute 9 to each term inside parenthesis on left side of equation

18x+90=2(9x+45)

2)now distribute 2

18x+90=18x+90

these equations are exactly the same! this means that this equation has infinitely many solutions

Hope this helps!

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A young boy has 40 total pets. He has two different types of pets. He has cats and penguins. The total number of the heads of hi
Nina [5.8K]

Answer:

He has 30 penguins and 10 cats.

Step-by-step explanation:

Let's define the variables:

C =  number of cats.

P = number of penguins.

We know that he has a total of 40 pets, then:

C + P = 40

We also know that the total heads (40 heads, each animal has one) plus the number of wings (P*2, each penguin has 2) is equal to the number of feet of his pets (4*C + 2*P, because each cat has 4 paws, and each penguin has 2)

Then we have the equation:

40 + 2*P = 4*C + 2*P

Notice that in the second equation we have the term 2*P in both sides of the equation, then we can just subtract 2*P in both sides to get:

(40 + 2*P) - 2*P = 4*C + 2*P - 2*P

40 = 4*C

Now with this, we can find the value of C.

40/4 = C = 10

Then he has 10 cats.

Now we can replace this in the equation:

P + C = 40

to find the value of P

P + 10 = 40

P = 40 - 10 = 30

P = 30

He has 30 penguins.

3 0
3 years ago
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Anarel [89]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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The ages in years of eight boys are 14,
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Answer:

B) 13

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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