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Zinaida [17]
3 years ago
5

How many times does six.go into Eight

Mathematics
2 answers:
never [62]3 years ago
5 0
Only one time...............
nalin [4]3 years ago
3 0
0.75 that is the answer
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There are some goats, cows, and sheep on a farm. 2/5 of the animals were goats. There are 3 times as many sheep as cows. If ther
svetlana [45]

Answer:

180

Step-by-step explanation:

First thing to do is to get all the animals in terms of cows, since that is our main unknown.  All the other animals' numbers are based on cows.  So let's call cows "x".  Then sheep is 3 times the number of cows, so sheep is 3x.  The number of goats is 45 more than the number of cows, so goats is x + 45.  Let's say, for the sake of ease, that the number of animals is "a".

Here's what we have so far:

# of animals: a

# of cows: x

# of sheep: 3x

# of goats: x + 45

We are told that 2/5 of the animals are goats.  In an equation, that is:

2/5 (animals) = goats, where the word "of" means to multiply, and the word "are" is the equals sign.  Filling in from our key above:

\frac{2}{5}a=x+45

That says that 2/5 of the animals are goats when goats is x + 45.

If 2/5 of the animals are goats, then 3/5 of the animals have to be cows and sheep.  In an algebraic equation:

\frac{3}{5}a=x + 3x.  

Let's go back to the first equation and get rid of the fraction by multiplying everything by 5.  When we do that we get

2a = 5(x + 45) so

2a = 5x + 225

Now let's get rid of the fraction in the second equation by multiplying everything by 5.  When we do that we get

3a = 5(x + 3x) or

3a = 5(4x) so

3a = 20x.  Solve that equation for a.

a=\frac{20}{3}x

Now that we have a in terms of x, we can sub that value in for a in the first equation to solve for x, the number of cows:

2(\frac{20}{3}x)=5x+225 and, simplifying:

\frac{40}{3}x=5x+225 and

\frac{40}{3}x-5x=225.  Get rid of the fraction here by multiplying everything by 3:

40x - 15x = 675 and

25x = 675 so

x = 27

That means that there are 27 cows.

Sheep is 3 times that, so there are 81 sheep.

Goats is 45 more than that, so there are 72 goats.

The total number of animals then is 27 + 81 + 72 which is 180.  Let's check that to see if the number of goats, 72, is 2/5 of 180.

\frac{2}{5}(180) = 72

So we got it!  Yay!  That was hard!!

7 0
3 years ago
You need a loan of $135,000 to buy a home. Calculate your monthly payment and total closing costs for each choice below. Briefly
Ahat [919]
You need to multiply the four numbers and then takeway
6 0
3 years ago
Write 0.55% as a decimal and as a mixed number or fraction in simplest form
m_a_m_a [10]

Answer:

0.0055 or 11/2000

Step-by-step explanation:

You could have multiplied it by 100 moving the decial poitn to the left 2 place. Or converted it to a fraction then divided the numerator by the denominator.

Hope this helps!!

3 0
3 years ago
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What value of x is in the solution set of 8x - 6 &gt; 12 + 2x?<br> A. -1<br> B. 0<br> C. 3<br> D. 5
aniked [119]

Answer:

C

Step-by-step explanation:

In the picture above.

5 0
3 years ago
PLEASE HELP ME IM OFF PACE
denpristay [2]

select the one that says "no, the estimate should be higher."

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3 years ago
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