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Paul [167]
3 years ago
6

A sales representative can take one of 4 4 different routes from city upper c city c to city upper f city f and any one of 5 5 d

ifferent routes from city upper f city f to city upper m city m. how many different routes can she take from city upper c city c to city upper m city m​, going through city upper f city f​?
Mathematics
1 answer:
gogolik [260]3 years ago
6 0
She can take one of 20 routes.

The fundamental counting principle states that the total number of choices is equal to the product of the numbers of choices:

4 routes * 5 routes = 20 routes
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Mario works at a snack bar near the beach for 2 hours each Saturday. one Saturday, he started with 30 bottles of juice and sold
PSYCHO15rus [73]

Answer:

12 bottles were sold in the second hour.

Step-by-step explanation:

This problem can be solved by implementing an equation in one variable.

The equation will utilize the given values including total bottles of juice, the amount of juice sold in the first hour and amount of juice remaining at the end.

The equation will also consist of the value to be found out, the amount of juice sold in the second hour.

The value to be found out is substituted by a variable.

The equation is then solved by transfer of values and/or variable on the opposite side of the equal sign.

When a value/ variable is transferred on the opposite side of the equal sign, the sign of the value/ variable becomes the opposite.

The negative sign becomes positive and multiplication becomes division, and vice-versa.

1. In the first hour, \frac{3}{15} of all the juice was sold.

\frac{3}{15} of 30 is calculated as

\frac{3}{15} x 30 = 6

6 bottles are sold in the first hour.

2. At the beginning of the second hour, the amount of juice remaining is assumed to be a.

3. As per the question, at the end of second hour, the remaining juice is \frac{6}{15}.

\frac{6}{15} of 30 is calculated as

\frac{6}{15} x 30 = 12

12 bottles are remaining at the end of the second hour.

4. Alternatively, at the end of second hour, 30 - 6 - a of the juice is remaining.

We get, 24 - a bottles are remaining at the end of the second hour.

We equate the above expression with 12, we get the following equation.

24 - a = 12

Next, we transfer a from left side to the right side of the equation.

24 = 12 + a

Next, we transfer 12 from right side to the left side of the equation.

24 - 12 = a

=> 12 = a

OR

a = 12

Hence, 12 bottles were sold in the second hour.

5 0
3 years ago
What is?...<br><br> 18 1/7 - 11 5/6
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18+1/7-(11+5/6)
=18-11+1/7-5/6
=7+(6-5*7)/42
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=6+13/42
=6\frac{13}{42}
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Answer:

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Step-by-step explanation:

Every hour they get 140 miles closer (100 + 40). So you divide 200 by 140 which gets you 1.42... or 1 and 3/7 of an hour.

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How many different lines of symmetry does a square have?
Sedaia [141]

Answer:

4

Step-by-step explanation:

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