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Murrr4er [49]
3 years ago
12

Valleywood Golf course offers classes Monday through Saturday. The Saturday classes last 75 minutes. If they offered 705-minutes

of classes last week, what was the maximum number of weekday classes?
Mathematics
1 answer:
Alisiya [41]3 years ago
3 0

Answer:

Step-by-step explanation:

To make the problem easier to solve, we will set it up as the equation of the length of time of each class times the number of classes equals the total amount of minutes. However, since we don't know the number of classes, we'll symbolize our two unknowns with two variables.

75x + 45y = 705

(75x + 45y)/15 = 705/15

5x + 3y = 47

y = (47-5x)/3

It looks like we can't simplify the equation any more, so now it is a matter of trial and error. The minimum number of Saturday classes means the maximum number of weekday classes. We first will test for the maximum by assuming there are no Saturday classes, then will work our way up until x is an integer.

If x = 0

(47-5(0))/3 = 47/3 = 15.6666

If x = 1

(47-5(1))/3 = 42/3 = 14

This works. Therefore, the maximum number of weekday classes is 14, or choice b.

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If angle EOF = 26 and angle FOG = 38., then what is the measure of angle EOG? The diagram is not to scale.
sladkih [1.3K]

Answer:

EOG is 64

Step-by-step explanation:

We can have a diagram for this.

From the description in the question, we can see that the ray FO splits the angle into 2.

We can have the diagram as shown in the attachment;

So mathematically;

EOG = EOF + FOG

So EOG = 26 + 38

EOG = 64 degrees

Please check attachment for a diagram

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Sally has twice as many dimes as nickels. The total value is $3.50 how many nickels and dimes does she have?
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