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Setler [38]
3 years ago
14

The price of shoes is $52.00. If you order them directly from the company on the internet, you can save money and the price is o

nly $42.64. What is the percent change
Mathematics
2 answers:
arsen [322]3 years ago
7 0

Answer:18%

Step-by-step explanation:

50.00-42.64=9.36

9.36/52=.18

Diano4ka-milaya [45]3 years ago
6 0

Answer:

18%

Step-by-step explanation:

$52.00-$42.64= $9.36

\frac{9.36}{52.00} x100

=0.18 x 100

=18%

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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
Use the rule of 78 to find the finance charge refund if the Finance charge was $476 on a 12 month payment plan and the loan was
Lelu [443]

Answer:

finance charge refund is $91.53

Step-by-step explanation:

given data

finance charge F = $476

time t = 12 month

no of payment n = 5

to find out

finance charge refund

solution

we will apply here finance charge refund formula that is

finance charge refund = F × \frac{n * (n+1)}{t* (t+1)}

put here value we get

finance charge refund = 476 × \frac{5 * (5+1)}{12* (12+1)}

finance charge refund = 476 × \frac{5 * (6)}{12 * (13)}

finance charge refund = 476 × \frac{30}{156}

finance charge refund = 476 × 0.1923

finance charge refund = 91.53

so finance charge refund is $91.53

4 0
3 years ago
laura deposits $2000 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in t
vladimir2022 [97]
She will be paid $2,240.

The equation to use for this is: A=P(1+rt)

More specifically:
A = 2000(1 + (0.02 × 6)) = 2240
A = $2,240.00
5 0
3 years ago
What is the volume of a cube 1 1/2 inches wide 2 1/2 inches long and 4 inches high?
mel-nik [20]

Answer:

231

Step-by-step explanation:

first of all it must be a cuboid bcoz a cube's edge is same i.e length =breadth= height.

now volume of cuboid =lbh

11/2×21/2×4

=231

ans....

6 0
2 years ago
Read 2 more answers
Change 1/7 / 4/21 to a ratio?<br>​
sergeinik [125]

Answer:

3:4

Step-by-step explanation:

(1/7)/(4/21) = (1/7)×(21/4) = 3/4 = 3:4

6 0
3 years ago
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