Week 6 problems - JustAnswer



The minimum daily values (MDV) for foods are given, based on a 2,000 calorie per day diet. Find decimal and fractional notation for the percent notation in each sentence. Show all work:

a) 1% of Tostitos provides 9% of the MDV of fat.

9% in decimal = 0.09

9% in fraction = 9/100

b) ½ cup of Clam Chowder provides 6% of the MDV.

6% in decimal = 0.06

6% in fraction = 6/100 = 3/50

Write the fraction as a percent:

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= 1.2

Now multiply by 100 to convert to percent

= 1.2*100

= 120%

Identify the rate, base, and amount. DO NOT solve the exercise at this point

150 is 75% of what number

Answer:

Amount = 150

Rate = 75

Base = some unknown number "x"

Business and finance. In a shipment of 750 parts, 75 were found to be defective. What percent of the parts were faulty?

Answer:

Amount = 75

Rate = some unknown number "x"

Base = 750

Solve each of the problems involving percent.

6.5% of what number is 325?

Let the number be x, then

6.5% of x = 325

0.065x = 325

x = 325/0.065 = 5000

Answer: 5000

Estimate amount in each

What is 48.3% of 1,500?

Solution:

48.3% of 1,500 = 0.483*1500 = 724.5

Business and finance. Ms. Jordan has been given a loan of $2500 for 1 year. If the interest charged is $275, what is the interest rate on the loan?

Solution:

Rate = Interest/Amount*time = 275/(2500*1) = 275/2500 = 0.11

Interest rate = 11%

Social science. A school had 900 students at the start of the year. If there is an enrollment increase of 7% by the beginning of next year, what is the new enrollment?

Solution:

Increase in enrollment = 7% of 900 = 0.07*900 = 63

New enrollment = 900 + 63 = 963

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?

Solution:

Let the time taken to scan all the files be x

40/300 = 100/x

Cross multiply:

40x = 300*100

Divide by 40:

x = 300*100/40

x = 750 seconds

It will take 750 seconds to check all the files.

Social science. Gas accounts for 85% of the motor fuel consumed in the U.S. everyday. If 8,882 barrels (bbl) of motor fuel is consumed each day, how much gas is consumed each day in the U.S.? Round to the nearest barrel.

Solution:

Gasoline consumed

= 85% of 8882

= 0.85*8882

= 7549.7 thousand barrels

= 7549700 barrels

Business and finance. Jerry earned $18,500 one year and then received a 10.5% raise. What is his new yearly salary?

Solution:

Increase in salary = 10.5% of 18500 = 0.105*18500 = $1942.5

New yearly salary = $18500 + $1942.5 = $20442.5

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?

Solution:

Decrease = 8.2% of 6400 = 0.082*6400 = $524.80

Value at the end of the year = 6400 – 524.80 = $5875.20

Simplify.

3 h 20 min

4 h 25 min

+ 5 h 35 min

12 h 80 min = 13 h 20 min ( as 60 min = 1 h)

Subtract.

9lb 15 oz

-5 lb 8 oz

4 lb 7 oz

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?

Solution:

3 quarts = 6 pints

1 pint = 16 oz

3 quarts = 96 oz

1 pt 9 fl oz = 16 + 9 = 25 oz

2 pt 10 fl oz = 32 + 10 = 42 oz

3 quarts - 1 pt 9 fl oz - 2 pt 10 fl oz

= 96 oz – 25 – 42

= 29 oz left over

What units in the metric system would you use to measure each of the following?

a. Distance from Los Angeles to New York

b. Your waist measurement

c. Width of a hair

d. Your height

Solution:

a. km

b. cm

c. Micrometers

d. Meter

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

Solution:

19.5 million tons = 19,500,000 tons

1 ton = 1000 kg

Nitrogen oxides emitted = 19,500,000*100 = 19,500,000,000 kg

Complete each. Round to the nearest hundredth:

72 in=________cm

1 in = 2.54 cm

72 in = 72*2.54 = 182.88 cm

7 L=__________qt

1 L = 1.05668821 qt

Multiply by 7:

7 L = 1.05668821* 7 = 7.39681747 qt ≈ 7.40 quarts

Solve the following:

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?

1 mi = 1.609344 km

55 mi/h = 55*1.609344 = 88.51392 km/hr ≈ 88.51 km/hr

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?

Let the length of the tree be x meter.

0.4/1 = 5/x

Cross multiply:

0.4x = 5

Divide by 0.4:

x = 5/0.4 = 12.5 meters

Tree is 12.5 meters tall.

Find the square root:

[pic][pic]

= 14

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