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Murrr4er [49]
4 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]4 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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Write two decimal that are equivalent to the given decimal. 3.600​
erik [133]

Answer:

  3.6, 3.60

Step-by-step explanation:

Equivalent decimal numbers may have different numbers of trailing zeros.

_____

<em>Comments on equivalents</em>

The number can be written in several different forms, including ...

  • 3 6/10
  • 3 3/5
  • 0.03600×10^2

and variations on these.

As a straight standard-form decimal number this representation (3.600) indicates it has 4 significant figures. <em>There is no other equivalent standard-form decimal number that will convey the same information regarding significant figures</em>. The form in scientific notation above will convey that information because it retains the two trailing zeros.

The mixed numbers can be considered to have a precision matching that of the fraction, but when we're concerned about the precision of the answer, we usually use a decimal or scientific notation presentation.

8 0
3 years ago
A bottle of ketchup has a net weight of 22 ounces. A serving size is 1/2 ounce. How many servings are in the bottle of ketchup?
ANTONII [103]

Answer:

44

Step-by-step explanation:

If a serving size is 1/2 ounce, there are 2 servings (2/2) per ounce. Let's multiply this by the total ounces.

22 × 2 = 44

There are 44 servings in the bottle of ketchup.

8 0
3 years ago
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Find the missing measures.<br><br> Questions 2 and 3 please!
RoseWind [281]

Answer:

2: x =73°

y= 107°

z= 73°

3: x= 129°

6 0
2 years ago
RSTU is a kite, mR = 150, and mS = 50. Find mT
lys-0071 [83]
Your answer is 65 for mT
8 0
4 years ago
Read 2 more answers
PLEASE HELP! 30 POINTS for RIGHT answer!
yulyashka [42]

gg easy

we want to cancel 1 term

first, get them into form am+bn=c where a, b, and c are constants

m-2n=2 is good

m+n=2(n-3) is m+n=2n-6 which is m-n=-6


compare constants

m's have 1 and 1

n's have -2 and -1

let's cancel m's


a. multiply 1st equation by -1

-m+2n=-2

add to 2nd equation


-m+2n=-2

<u>m-n=-6 +</u>

0m+n=-8


n=-8

sub back

m-n=-6

m-(-8)=-6

m+8=-6

m=-14



b. to check

m=-14 and n=-8

m-2n=2

-14-2(-8)=2

-14+16=2

2=2 yep


m-n=-6

-14-(-8)=-6

-14+8=-6

-6=-6 yep


so m=-14 and n=-8 is the solution

5 0
3 years ago
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