# Expression of a variable from formula - problems - page 29

1. The perimeter 3 The perimeter of a rectangle is 35 cm. The ratio of the length to its width is 3:2. Calculate the dimensions of the rectangle
2. Bonuses Five employees of the company were paid bonuses so that each successor received a 550 USD less than the previous employee. How much did everyone get, if a total of USD 11,000 has paid?
3. Simplify Simplify expression - which expression is equivalent to: 3(m + 2) − 4(2m − 9)
4. Boats Three-quarters of boats are white, 1/7 are blue and 9 are red. How many boats do we have?
5. Sides of triangle Triangle circumference with two identical sides is 117cm. The third side measures 44cm. How many cms do you measure one of the same sides?
6. Completing square Solve the quadratic equation: m2=4m+20 using completing the square method
7. Find the 7 Find the number that is smaller than 5 5/12 by as much as 2 2/13 is smaller than 6 1/6
8. Evening shift While working the evening shift, Officer K took 8 hours to complete a task at his work station and Officer M took 10 hours to complete the same task at his work station. How many hours would it take Officer K and Officer M to complete the same task working
9. Substitution method Solve goniometric equation: sin4 θ - 1/cos2 θ=cos2 θ - 2
10. Which Which decimals when subtracted equal 3.89: a - b = 3.89
11. A report Maricris can type a committee report in 5 hours. Jane helped Maricris and together they finished the report in 3 hours. How long would it take Jane to complete the report she had worked alone?
12. Lateral surface area The ratio of the area of the base of the rotary cone to its lateral surface area is 3: 5. Calculate the surface and volume of the cone, if its height v = 4 cm.
13. Rectangle 45 The perimeter of a rectangle is 60cm. If the length of the rectangle is 20cm. a)find the width b)find the area.
14. Given Given 2x =0.125 find the value of x
15. Number of songs Write an expression for the number of songs they need for this show. Evan and Peter have a radio show that has 2 parts. They need 4 fewer than 11 songs in the first part. In the second part, they need 5 fewer than 3 times the number of songs in the first p
16. Cincinnati A map is placed on a coordinate grid. Cincinnati located at (5,4) and San Diego is located at (-10, -3). How far apart is Cincinnati from San Diego on the map? Round to the nearest tenth.
17. Greg and Bill Greg is 18 years old. He is 6 less than 4 times Bill's age. How old is Bill?
18. Workers 9 If two workers fix two windows in an hour how many windows can 18 workers fix in the same two windows?
19. Former price The price of an article is cut by 10℅, to restore it to the former value, by what percent the new price must be increased?
20. A photograph A photograph will stick to a white square letter with a x cm length. The photo is 3/4 x cm long and 20 cm wide than the width of the paper. The surface of the remaining paper surrounding the photograph is 990 cm2. Find the size of paper and photo.

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