One number is 5 times another. The sum of their reciprocals is 2/5. Determine the smaller number.

Answers

Answer 1
Answer: so x=5y
reciprocal of x=1/x then

sum of reciprocals means 1/x+1/y=2/5
subsitute x=5y for x in 1/x+1/y=2/5 and get
1/5y+1/y=2/5
multiply 1/y by 5/5 to make it 5/5y so you can add since the denomenators (bottom number) are the same

1/5y+5/5y=2/5
6/5y=2/5
multiply both sides by 5y
6=2y
divide both sides by 2
3=y
put this into x=5y so 
x=5(3)
x=15
y=3

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What is the monthly paycheck of an office manager whose salary is $57,000 per year

Answers

The answer to that question is $4,750

Solve the system of equations below by graphing both equation . what is the solution?

Answers

y=2x-3
y=-2x+5
2x-3 = -2x+5
4x=8
x=2 
y=2(2)-3
y=1 
the answer is  A.(2,1)

What is the value of h when the function is converted to vertex form?
g(x) = x^2 – 6x + 14

Answers

Hello,

g(x)=x²-6x+14=x²-2*3x+9+14-9=(x-3)²+5
h=3, k=5

Wich expression defines the given series for seven terms? 8+13+18+.......

Answers

Answer: a+6d will defines the series for seven terms i.e. 38.

Step-by-step explanation:

Since we have given that

8+13+18+......

Here, a = first term = 8

d = common difference is given by

a_2-a_1\n\n=13-8\n\n=5

So, we need to find the seven terms:

So, here n = 7

So, it becomes,

a_7=a+(n-1)d\n\na_7=8+(7-1)5\n\na_7=8+6* 5\n\na_7=8+30\n\na_7=38

Hence, a+6d will defines the series for seven terms i.e. 38.

you're just adding 5 
example
8+5= 13
13+5=18
18+5=23
23+5=28
28+5=33
and so on :)

What is 50.00 minus 30%?

Answers

50.00 - 30 % = 35
Because ⬇
50.00( 50.00 × 3 ÷ 100)

50.00 - 15.00 = 35.00

That's how I found out that "50.00 - 30% " was equalling to '35' (or you can put '35.00'

Y=−x−1 the point (0, −1)lies on the graph of the equation. the graph of the equation is the set of points that are solutions to the equation. the point (1, −2) lies on the graph of the equation. a coordinate pair on the graph of the equation is a solution to the equation. the equation y x=1 has the same graph.

Answers

For point (1, -2): -2 = -1 - 1 = -2. Therefore, point (1, -2) lies on the graph of the equation.

The graph of the equation is the set of points that are solutions to the equation.

A coordinate pair on the graph of the equation is a solution to the equation.

For the point (0, -1): -1 = -(0) - 1 = 0 - 1 = -1.
Therefore, The point ( 0, −1 ) lies on the graph of the equation.