Algebra Answers

Solve the following measurements:

1. On a certain map, the straight-line distance between Pas ans Winnipeg is 4.1cm. If the scale of the map is 1cm=120cm, how far apart are the Pas and Winnipeg, to the nearest kilometer?
2. On a scale drawing of a house, the scale is 1cm:4cm. If the actual house is 30cm, what is the length of the line in the drawing that represents the width of the house?

State whether the following scale factors represent an Enlargement, Reduction or No change.

1. A scale factor of 4/3 applied to an object that describes?
2. A scale factor of 0.95 applied to an object describes?
3. A scale factor of 6:6 applied to an object describes?
4. A scale factor of ⅕ applied to an object describes?
5. A scale factor of 130% applied to an object describes?
6. A scale factor of 75% applied to an object describes?
7. A scale factor of 3.5 applied to an object describes?

Determine if the following statements are true or false. Show work please.

1. 4/15=2/7                                   2. 4/6=10/15

A survey of 36 students was conducted to find out how many students enjoy playing volleyball, and 17 said they did. If 68 students were surveyed, how many would you say enjoy playing volleyball?

(2+√y)^2-(2-√y)^2=8√y but in your solution it is equal to 4√y what's the reason.

Given that 4^3+x/8^10x = 2^10-2x/64^3x what is the value of x?

Solve the inequality √(x²-2x-8) ≤ -x+2

For what real x, can we have the inequality I4x-x²-3I / √(x+1) >0

Solve the inequality √(4x²-8x+7) ≤ -2x

GIven that log₃6=m, and log₆5=n express log₃10 in terms of m and n