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Anna71 [15]
3 years ago
11

Assume that y varies inversely with x. If y = 7 when x = 2/3, find y when x = 7/3. y = [?] ​

Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
4 0

Answer:

y = 2

Step-by-step explanation:

varies inversely

xy = k

y = 7 when x = 2/3

(2/3)7 = k

14/3 = k

k = 14/3

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

find y when x = 7/3

(7/3)y = 14/3

multiply both sides by 3/7

y = 14/3 * 3/7

y = 2

Shalnov [3]3 years ago
3 0

Answer: y = 2

Step-by-step explanation: When we have two sets of inversely related coordinates, x₁ and y₁, and x₂ and y₂, we can use the product rule, shown below, to find the missing value.

<h2>x₁y₁ = x₂y₂</h2><h2 />

Since we know that y = 7 when x = 2/3, one set of coordinates will be 7 and 2/3 and since we want to find the value of y when x = 7/3, our other coordinates will be 7/3 and y.

(2/3)(7) = (7/3)(y)

So we have 14/3 = 7/3y and solving for y from here, we find that y = 2.

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jordan has been offered two summer jobs. one job pays 7 owr hour. the other 50 a week plus 5 per hour. how many hours would jord
mart [117]

He would have to work 24 weeks to get the same amount from each job.

6 0
3 years ago
The sum of two confescutive integers is at least 46. What is the least possibly pair of integers?
dezoksy [38]
An integer is a whole number. Sum means to add and since they are consecutive, there is only a difference of 1 between them.

1) 21 + 23: not consecutive
2) 23+24= 47: has to be at least 46
3) 22+23= 45: has to be at least 46
4) 24+25= 49: has to be at least 46

So we have two possibilities: either #2 or #4. Find least possible pair of integers.

x= first integer
x+1= second integer

x + (x+1) >= 46
2x + 1 >=46
2x>=45
x>=22.5

Answer:
The first integer has to be greater than or equal to 22.5. Since integers are whole numbers, round up to the next whole number. The least possible integers are #2) 23 and 24.

Hope this helps! :)
3 0
3 years ago
A book agent charges 15% to represent an author. If the agent earns $4.5 thousand from a book deal, how much does the author ear
netineya [11]

Answer: $25,500

Step-by-step explanation:

15/100 = 4500/x , we use this proportion to find out how much the entore book deal was.  When you multiply 4500 x 100 and divide by 15, it gives you an answer of 30,000.  30,000 is the value of the book deal.  The agent gets 15% but the entire deal would be worth 100%.  We subtract 15% from 100% to get 85%.  85% is what the author will receive.  85% of 30,000 is $25,500. We find the answer by multiplying 30,000 by 0.15. 0.15 is the decimal equivalent of 15.

7 0
4 years ago
Need answers from smart people
ale4655 [162]
The first one is 6/12 second is 2/10 third is 3/12 fourth is 1/5 fifth one is 3/4
8 0
4 years ago
Read 2 more answers
How would you graph f(x) = 7x + 5 when you reflect it over y axis and translate it 3 units left
SOVA2 [1]

Answer:

See explanation

Step-by-step explanation:

Given the function f(x)=7x+5

1. To reflect the graph of the function f(x) over the y-axis, you should change the slope of the line in opposite. The slope of the function f(x) is 7, so the slope of the reflected function will be -7 and the expression of the reflected function will be

g(x)=-7x+5

2. To translate the function g(x) 3 units left, add 3 units to x, thus the expression for the function will be

h(x)=-7(x+3)+5\\ \\h(x)=-7x-21+5\\ \\h(x)=-7x-16

See attached diagram for details.

8 0
4 years ago
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