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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If -5x=-30, then x=6. What property was applied to get x=6

Answers

Answer:

multiplicative inverses

Six is less than or equal to the sum of 4 and -2x

Answers

6 ≤ 4 + (-2x)
6 (-4) ≤ 4 - 2x - 4
4 and 4 cancels out
2 ≤ -2x

-1≥x


When you divide by a negative number, the inequality sign turns to the other side.



kirby often forgets to switch the inequity sign when dividing a negative. when solving 3x-10≥x, should kirby collect the variables on the left or the right? why?

Answers

You should collect the variable on the left side since you can't have two variables of the same letter on each side.so you would take the variable from the right side and subtract it from the left. So subtract x on both sides. Your new problem is 2x-10 is greater than or equal to 0. Now you add 10 on both sides. Your new problem is 2x is greater than or equal to 10. Now divide by 2 on both sides. Your answer would be x is greater than or equal to 5

A yogurt costs 55p .How many yogurts can be bought for six pounds?

Answers

Well if one pound of yogurt cost 55 (cents?)

Two yogurts cost $1.10
Three yogurts cost $1.65
Four yogurts cost $2.20
Five yogurts cost $2.75
And finally...
Six yogurts cost $3.30

Hope this helps!

What is -7nx+2nx+2n+7x equal to

Answers

-7nx + 2nx + 2n + 7x ...combine like terms
-5nx + 2n + 7x
5nx+2n+7x which is combined like terms all you do is cut the problem down.

Solve the inequality
2w-3>14

Answers

Try to follow my steps:

1).  Copy the problem:

2w - 3 > 14


2).  Add 3 to each side:

2w > 17

3).  Divide each side by 2 :

w > 8.5
2w-3 > 14\ \ \ \ /+3\n\n2w > 17\ \ \ \ /:2\n\nw > 8.5\n\nw\in(8.5;\ \infty)