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# various problems on algebra and geometry

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I need help in completing the following exercises. I need to use the Equation Editor in Microsoft® Word to do these problems, then submit a Word document, showing the work and answers.
Attached you will find the problems to be completed.

58. The minimum daily values (MDVs) for certain foods are given. They are based on a 2,000 calorie per day diet. Find decimal and fractional notation for the percent notation in each sentence.
(a) 1 ounce of Tostitos provides 9% of the MDV of fat.
(c) 1/2 cup of Campbells' New England clam chowder provides 6% of the MDV of iron.

Write this fraction as a percent.

Identify the rate, base, and amount in each statement or question. Do not solve the exercise at this point.
12. 150 is 75% of what number?

Identify the rate, base, and amount in the following applications. Do not solve the applications at this point.
18. Business and finance. In a shipment of parts, were found to be defective. What percent of the parts were faulty?

Solve the following problem involving percent.
46. 6.5% of what number is 325?

Estimate the amount in each of the following problem.
50. What is 48.3% of 1,500?

Solve the following application.
6. Business and finance. Ms. Jordan has been given a loan of \$2,500 for 1 year. If the interest charged is \$275, what is the interest rate on the loan?
26. Social science. A school had 900 students at the start of a school year. If there is an enrollment increase of 7% by the beginning of the next year, what is the new enrollment?
42. Business and finance. A virus scanning program is checking every file for viruses. It has completed checking 40% of the files in 300 seconds. How long should it take to check all the files?
56. Social science. Gasoline accounts for 85% of the motor fuel consumed in the United States every day. If 8,882 thousand barrels (bbl) of motor fuel is consumed each day, how much gasoline is consumed each day in the United States? Round to the nearest barrel.

Use your calculator to solve the following applications.
68. Business and finance. Jerry earned \$18,500 one year and then received a 10.5% raise. What is his new yearly salary?
70. Business and finance. Yi Chen made a \$6,400 investment at the beginning of a year. By the end of the year, the value of the investment had decreased by 8.2%. What was its value at the end of the year?

Solve the following application.
74. Crafts. Mark uses 1 pt 9 fl oz and then 2 pt 10 fl oz from a container of film developer that holds 3 qt. How much of the developer remains?

50. What units in the metric system would you use to measure each of the following quantities?
(a) Distance from Los Angeles to New York:
(c) Width of a hair:

Solve the following application.
70. Science and medicine. The United States emitted 19.5 million t of nitrogen oxides (NO) into the atmosphere in 1987. One metric ton (1 t) equals 1,000 kg. How many kilograms of NO were emitted to the atmosphere in the United States during 1987?

Complete each statement (Round to the nearest hundredth.)
6. 72 in. = _________ cm
12. 7 L = _________ qt

Solve the following applications.
18. Science and medicine. Samantha's speedometer reads in kilometers per hour. If the legal speed limit is 55 mi/h, how fast can she drive?

Identify this object as a line or line segment.

Give an appropriate name for each indicated angle.

For exercise 52, find m a, m b, and m c.

Label the triangles as acute or obtuse.

Label the triangles as equilateral, isosceles, or scalene.

Assume that the given triangle is isosceles.

26. Which two triangles are similar?

44. A tree casts a shadow that measures 5 m. At the same time, a meter stick casts a shadow that is 0.4 m long. How tall is the tree?

Find the square root.
Find the missing length for each right triangle.

https://brainmass.com/math/basic-algebra/various-problems-on-algebra-and-geometry-150177

#### Solution Summary

The first part of the solution deals with rate and percentage, such as the conversion between fraction and percent. The second part of the solution concentrates on geometry, such as triangles, measurement of angles.

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## Algebra, Geometry Problems

Check attachment for cleaner version of the questions below.

Solve the following equations algebraically. Must show work.
1a)
(t^{frac{2}{3}})
=4

b)√(5&x) + 1 = 3
= 3
c) =2-
(frac{2}{3})
(frac{5x -3}{x-1})
2)Solve algebraicaly
a)
(sqrt{x+2}-x=0)
b)
(4- frac{x}{x-2} = frac{-2}{x-2})
The volume of a cube is given by
( V = s^{3})
Find the length of a side of a cube ( round the answer to three decimal places if the volume is
(800_{cm}^{}3)
B)
(500^{cm}3)
4) The formula to find the wind chill temperature is given by
(w = 33- frac{10.45 + 10sqrt{v} - v)(33-T )}{22})
. V is wind speed in m/sec. Find the Wind Chill temperature given the following :
A ) T = 10 degree C , V= 9m/sec
B ) T = 0 degree C , V = 15 m/sec
C) T = -10 degree C , V = 20m/sec.

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