Inverse VariationIf I varies inversely with R and I = 0.15 when R = 50, which equation should be used to show this relationship?   A.I=7.5/R  B.I=7.5R  C.IR=0.75 D.I=R/7.5

If x varies inversely with y and x = 8 when y = 6, find y when x =10.
  A. y=40/3   B.y=5/12    C.y = 7.5  D.y = 4.8

xy = –12. What is the constant of variation for this relationship?
A.–1.2  B. -1/4    C.–0.12  D.–12

V varies inversely with T and V = 18 when T = 3. Which equation shows this relationship?  A.V=6/T  B.V=6T  C.V=54/T  D.V=54T

the 4 is in the doc.

Answers

Answer 1

Answer: $(1)\nR\cdot I=a\ \ \ \ and\ \ \ 50\cdot 0.15=a\n\n \ \Rightarrow\ \ \ a=7.5\ \ \ \Rightarrow\ \ I= (7.5)/(R) \ \ \ \Rightarrow\ \ \ Ans.\ A.\n\n(2)\nx\cdot y=a\ \ \ and\ \ \ 8\cdot6=a\n\n \ \Rightarrow\ \ \ a=48\ \Rightarrow\ \ \ xy=48\ \ \ \Rightarrow\ \ \ 10y=48\ \Rightarrow\ \ \ y=4.8\ \Rightarrow\ \ \ Ans.\ D.\n\n(3)\nxy=-12\ \ \Rightarrow\ \ \ constant=-12\ \ \Rightarrow\ \ \ Ans.\ D.\n\n$

$(4)\nxy=-12\n\ne.g.:\ \ \ x=3\ \ and\ \ y=-4\ \ \ \ or\ \ \ \ x=-3\ \ and\ \ y=4\ \ \Rightarrow\ \ Ans.\ A.\n\n(5)\nV\cdot T=a\ \ \ and\ \ \ 18\cdot 3=a\n\n \ \ \Rightarrow\ \ \ a=54\ \ \ \Rightarrow\ \ \ V\cdot T=54\ \ \ \Rightarrow\ \ \ V= (54)/(T) \ \ \ \Rightarrow\ \ \ Ans.\ C.$

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The student union at school has MP3 players pre-loaded with audio and digital books to check out. When the student starts downloading new books at 9:00 am, there are 15 already loaded. When he checks at noon, there are 30 books completely loaded. Assuming that the computer downloads books at a consistent rate, how many complete books will have downloaded at 3:00 pm?Write a function of books downloaded, y, based on time passed, x (in hours), as well as the total number of books that will be completed by 3:00 pm.

A
y = 10x + 5; 45 complete books

B
y = 15x + 15; 65 complete books

C
y = 5x + 15; 45 complete books

D
y = 15x + 10; 100 complete books

Answers

The correct option is C. The function should be:

y = 5x + 15

This function gives the correct number of books downloaded after 3 hours, and the slope is also 5 books per hour.

The other options are incorrect.

Option A: y = 10x + 5. This function does not give the correct number of books downloaded after 3 hours.

Option B: y = 15x + 15. This function gives the correct number of books downloaded after 3 hours, but the slope is not 5 books per hour.

Option D: y = 15x + 10. This function does not give the correct number of books downloaded after 3 hours.

The answer is b because over time the 5x will turn into 65 books

Help! William earns $13,644.80 per hear, and has his federal taxes withheld from each weekly check. In addition, a total of $53.60 is deducted form each check. How much is his net pay for each weekly check?P.s. if the taxable income is between $1-$8700, your tax is 10% and if it is between $8700-$35,350, it is 15%

Answers

so 52 weeks in a year so

13,644.8/52=262.4 per week

53.8 is deducted from 262.4

so the deduction is 53.8 then the answer is
262.4-53.8=208.6

the 10% and 15% part is of the yearly income and 53.8 is 15% of 262.4 so that part doesn't matter

the answer of net pay is 208.6 dollars

Can you please show how you got the answer

Answers

Technically there are a ton of answers.
Try 3,000*10^1
Or 300*10^2
Possibly 30*10^3
Even 3*10^4

Jerome added two numbers whose sum was 83 one of the numbers was 45 what is the other number

Answers

The other number is 38

The answer is 38 because 83-45=38

Which ordered pair is in Quadrant IV? A.

(–3, –5)

B.

(–3, 5)

C.

(5, –3)

D.
(5, 3)

Answers

Point C is in Quadrant IV.

Quadrant I is the top right, Quadrant II is the top left, Quadrant III is the bottom left, and Quadrant IV is the bottom right (it starts at the top right and goes clockwise around the graph).

The point (5, -3) goes 5 to the right and 3 down from the origin (0, 0), making it in the bottom right and therefore Quadrant IV.

Find the slope of the following line:
y=2/3x +4

Answers

y = 2/3*x + 4We knowy = mx+ c, m = gradientTherefore, x = 2/3In these questions, the "coefficient" (or multiplier) of x is equal to the gradient.

Slope-intercept form is

y = mx + b

where,
m is the slope
b is the y-intercept

So for the line:
y = 2/3x + 4

2/3 is the slope
4 is the y-intercept

The slope of y = 2/3x + 4 is 2/3