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gayaneshka [121]
2 years ago
6

Suppose y varies directly with x. Write a direct variation equation that relates x and y when y = 6 and x = 12

Mathematics
2 answers:
Elenna [48]2 years ago
7 0

Answer: 2

Step-by-step explanation: If 12/6=2 so the answer to the problem is 2 because 6x2=12

SOVA2 [1]2 years ago
5 0

Answer:

y = 1/2x

Step-by-step explanation:

y = 6

x = 12

y = ax

6 = a(12)

a = 6/12

a = 1/2

y = 1/2x

Hope this helps!

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Please help with parts a,b, and c
Elena-2011 [213]

Answer:

3000 = n*240 +s*360

1050 = 90n+120s

On this particular day, there  are 5 nurses and 5 support staff working

Step-by-step explanation:

Nurses work 240 minutes per day

Support staff work 360 minutes per day

Let n = number of nurses

Let s = number of support staff

a) 3000 minutes are worked

The total number of minutes worked = the number of minutes worked by a nurse per day times the number of nurses plus the number of minutes worked per day by a support staff person times the number of support staff people

3000 = n*240 +s*360

b)  earnings per day = 1050

The total number of dollars earned each day= the wages of a nurse per day times the number of nurses each day plus the wages of a support staff person  per day times the  number of support staff people working each day

1050 = 90n+120s

c)  We have 2 equations and 2 unknowns

3000 = n*240 +s*360

1050 = 90n+120s

Divide each equation by 10

300=24n+36s

105 = 9n+12s

Multiply the second equation by -3

-315 = -27n -36s

Add this to the first equation to eliminate s

-315 = -27n -36s

300=24n+36s

---------------------

-15 = -3n

Divide by -3

-15/-3 = -3n/-3

5=n

There are 5 nurses working that day

Now we need to solve for s

105 = 9n+12s

105 = 9(5) +12s

105 = 45+12s

Subtract 45 from each side

105-45 = 45-45 +12s

60 = 12s

Divide by 12

60/12 = 12s/12

5 =s

There are 5 support staff working.

On this particular day, there  are 5 nurses and 5 support staff working

8 0
3 years ago
The lengths of the sides of a triangle are in ratio 5 : 7 : 9. The middle-in-length side is 35 cm. Find the perimeter of the tri
ipn [44]

Answer:

The perimeter of the triangle is 105 cm.

Step-by-step explanation:

The ratio of sides of a triangle is 5:7:9.

The length of middle side is 35 cm.

Let first side of the tringle is x, length of third side is y. middle side is of 35 cm.

So, the ratio of length of sides can be written as,

x:35:y=5:7:9

Compare the ratio to get the value of x and y.

x:35:y=25:35:45\\x=25\\y=45

Now, the sides of the triangle are 25 cm, 35 cm and 45 cm.

Thus, the perimeter of the triangle will be the sum of all sides and can be calculated as,

p=25+35+45\\p=105

Therefore, the perimeter of the triangle is 105 cm.

For more details, refer the link:

brainly.com/question/20955459?referrer=searchResults

3 0
3 years ago
Look at the question below.
pshichka [43]

Answer:

the third one

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What do I do to be able to answer these questions
Alex73 [517]
If the denominator is a larger number the value is less so 9 compared to 16 nine is the bigger number. I wish I could help you more but I think you can do it good luck!
8 0
3 years ago
Using the numbers 8, 4, 6, and 2 what combination equals 16, ONLY USING THE NUMBERS ONCE, but you can do any operation such as -
larisa86 [58]
(8÷4+6)2
Eight divided by four equals two. 
Two plus six is eight. 
Eight multiplied by two is sixteen. 
3 0
3 years ago
Read 2 more answers
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