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ICE Princess25 [194]
2 years ago
7

Suppose three riders rode a total of 182 miles. If they used a total of 13 horses, and rode each horse the same number of miles,

how many miles did they ride before replacing each horse? They rode _____ miles before replacing each horse. I REALLY NEED HELP
Mathematics
1 answer:
umka21 [38]2 years ago
5 0

Answer:

They rode 14 miles before replacing each horse

Step-by-step explanation:

We will be working under the assumption that all three riders sat on one horse at a time and rode it while the other horses rested.

From the problem, we can understand that the horses were each ridden for the same distance. This means that to get the total distance a horse rode before it was changed, we can divide the total distance by the number of horses that were used for the journey.

Distance each horse rode = 182/ 13 = 14 miles.

Therefore, each horse was ridden for 14 miles before it was changed.

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A rich woman deposits a whole number of dollars x in her bank. The next time she deposits y dollars (still a whole number). Each
grin007 [14]

Answer:

x = 12

y = 22

Total amount = $2596

Step-by-step explanation:

First let's find the value of each deposit until the 10th in relation to x and y:

1st: x

2nd: y

3rd: x + y

4th: x + 2y

5th: 2x + 3y

6th: 3x + 5y

7th: 5x + 8y

8th: 8x + 13y

9th: 13x + 21y

10th: 21x + 34y

Now, we can write a system with two equations and two variables:

2x + 3y = 90

21x + 34y = 1000

From the first equation: x = (90 - 3y)/2

Using this value of x in the second equation, we have:

21*(90 - 3y)/2 + 34y = 1000

945 - 31.5y + 34y = 1000

2.5y = 55

y = 22

Now we can find x:

x = (90 - 3*22)/2 = 12

Now, summing all the deposits, we have a total of 55x + 88y, which is equal to 55*12 + 88*22 = $2596

5 0
3 years ago
Oscar charges $25 for the first hour of tutoring and $15 for each additional hour or fraction of an hour. The rates that Latoya
Hatshy [7]

Answer:

Layota

$47.5

Step-by-step explanation:

Let number of hours = x

Given that:

Oscar's charges :

First hour = $25

Additional hours = $15

Thus :

Total charge : 25 + 15(x - 1)

The piece wise equation given for Layota's charge rate :

First 3 hours = $30

Next 3 hours = $20

Hours greater Than 6 = $10

If total hours ; x = 5.5 hours

Oscar :

$25 + $15(5.5 - 1)

$25 + $15(4.5)

$25 + $67.5

= $92.5

Layota:

First 3 hours :

$30 * 3 = $90

Hours left :

$20 * (5.5 - 3)

$20 * 2.5 = 50

Total = $90 + $50 = $140

Layota charges more : 140 > 92.5

Difference :

$140 - $92.5

= $47.5

8 0
3 years ago
A jacket costs 50$ at the store Evan has a coupon for 15$ off.Max pays only 0.6 of the price because his father works at the sto
Arturiano [62]

Answer:

Step-by-step explanation:

The original price of the jacket at the store is $50.

Evan has a coupon for 15$ off. This means that the amount that Evans will pay is the original price - 15% of the original price. It becomes

50 - (15/100 × 50) = 50 - 7.5 = $42.5

Max pays only 0.6 of the price because his father works at the store.

This means that the amount that Max will pay is 0.6 × the original price. It becomes

0.6 × 50 = $30

Max will pay the least amount because his amount is smaller

6 0
3 years ago
Solve for x7(x 2) (x 5)44O -16
babymother [125]
7(x + 2) = 6(x + 5)

7x + 14 = 6x + 30    |subtract 14 from both sides

7x = 6x + 16    |subtract 6x from both sides

x = 16
3 0
2 years ago
If you know the length of sides b and c of a right triangle, which equation represents the length of side a, according to the Py
Reptile [31]

Answer:

A=SqRt(c^2-b^2)

Step-by-step explanation:

a^2 + b^2 = c^2

rearrange to solve for a^2

a^2= c^2-b^2

take the square root of each side

a= square root (c^2-b^2)

3 0
2 years ago
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