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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imagine, in a given community, 20% of people above 60 years old have heart disease. if we randomly choose 10 people above 60 years old, exactly how many of them will have heart disease?

Answers

Answer:

2

Step-by-step explanation:

cause 20 percent of 10 is 2 lol

Cube root of 8x minus 2 equals 4

Answers

Answer:

334

Step-by-step explanation:

Answer:334

Step-by-step explanation:

True or false the origin would be included in the solution set for the following inequality: y>3x-9

Answers

Origine = (0 ; 0)

0 > 3*0 - 9
0 > 0 - 9
0 > - 9

It's true.
0>3\cdot0-9\n 0>-9

True.

Round 14494 to the nearest thousand feet

Answers

14,000 because 494 would round down since it is not above 500.

Refer to pictures above real help please

Answers

Answer:

38.7°

Step-by-step explanation:

∆ = Tan-1(opposite/ Adjacent)

=Tan-1(8/10)

= 38.66°

= 38.7° to n nearest tenth

Choose the equation below that represents the line passing through the point (−5, 1) with a slope of three halves.

Answers

point slope
y-y1=m(x-x1) where slope=m and you are given the point (x1,y1)

slope=3/2
point is (-5,1)
y-1=(3/2)(x+5)
if you wan in slope intercept
distribute
y-1=3/2x+15/2
add 1
y=3/2x+17/2