MAT-115 Week 6 Checkpoint Assignment Due Day 3 (Wednesday)Page 1
MAT-115Week 6 CheckPoint Assignment-- Due Day 3 (Wednesday)Page 1
Problems (1 point each) / TYPE YOUR SOLUTION(S) HERENAME: / BR1
Instructions: In order to complete your assignment in an organized and efficient manner, please use this template to type your work and answers. Save this template to your computer, complete the problems (showing all work as if you did not have a calculator, unless otherwise stated), and post as an attachment to your <Individual> forum. If you cannot read the problems on this template, refer to the eTextbook on the course aXcess page.
REMEMBER: NO WORK = NO CREDIT
Problems (1 point each) / TYPE YOUR SOLUTION(S) HERESection 6.1 #58a (pg. 441)
Find decimal and fractional notation for the percent notation in each sentence.
58 (a). 1 ounce of Tostitos provides 9% of the MDV of fat. / 9%
Divide by 100 to convert to decimal
Decimal: 0.09
Put it over 100:
Fractional notation: 9/100
Section 6.1 #58c (pg. 441)
Find decimal and fractional notation for the percent notation in each sentence.
58 (c). 1/2 cup of Campbells’ New England clam chowder provides 6% of the MDV of iron. / 6%
Divide by 100 to convert to decimal
Decimal: 0.06
Put it over 100:
Fractional notation: 6/100 = 3/50
Section 6.2 #34 (pg. 448)
Write as a percent.
34. / Convert to a decimal
= 1.2
Multiply by 100%
= 120%
Section 6.3 #12 (pg. 456)
Identify the rate, base, and amount. Do not solve the exercise at this point.
12. 150is 75% of what number? / (no work to be shown)
Rate: the percentage = 75%
Base: the number we’d have to solve for
Amount: 150, since that is 75% of something
Section 6.3 #18 (pg. 457)
Identify the rate, base, and amount. Do not solve the exercise at this point.
18. In a shipment of 750 parts, 75 were found to be defective. What percent of the parts were faulty? / (no work to be shown)
Rate: the unknown percentage
Base: 750, the total number of parts
Amount: 75, the defective parts
Section 6.4 #46 (pg. 465)
Solve each of the following problems involving percent.
46. 6.5% of what number is 325? / 0.065x = 325
Divide by 0.065:
x = 5000
Section 6.4 #50 (pg. 465)
Estimate the amount in each of the following problems.
50. What is 48.3% of 1,500? / That is about half of 1500:
750
Section 6.5 #6 (pg. 477)
6. 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? / Divide to get the rate:
275/2500
= 0.11
Multiply by 100%
= 11%
Section 6.5 #26 (pg. 479)
26. 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? / Multiply:
7% times 900
7% = 0.07
0.07 times 900
= 63
That is the increase, so add to the original amount:
900 + 63
= 963
Section 6.5 #42 (pg. 481)
42. 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? / 40% = 0.4
Divide the 300 by that:
300/0.4
= 750 seconds
Section 6.5 #56 (pg. 483)
56. Gasoline accounts for 85% of the motor fuel consumed in the United States every day. If 8,882 thousand barrels of motor fuel is consumed each day, how much gasoline is consumed each day in the United States? Round to the nearest barrel. / 85% = 0.85
Multiply by the total:
0.85*8882
= 7549.7
Rounds to:
7550 bbl
Section 6.5 #68 (pg. 485)
68. Jerry earned $18,500 one year and then received a 10.5% raise. What is his new yearly salary? / The increase is: 0.105 times 18500 = 1942.5
Add that to the original amount:
1942.5+18500
= $20442.50
Section 6.5 #70 (pg. 485)
70. 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? / The new percentage is:
100-8.2 = 91.8%
Multiply that by the 6400:
6400 times 0.918
= $5875.20
Section 7.1 #50 (pg. 508)
Add.
50. 3 hours 20 minutes
4 hours 25 minutes
+ 5 hours 35 minutes / Add the hours:
3+4+5 = 12
Add the minutes:
20 + 25 + 35 = 80 min = 1 hr 20 min
Total:
13 hr 20 min
Section 7.1 #54 (pg. 508)
Subtract.
54. 9 pounds 15 ounces
- 5 pounds 8 ounces / Subtract the pounds: 9-5 = 4
Subtract the oz: 15-8 = 7
4 lb 7 oz
Section 7.1 #74 (pg. 509)
74. Mark uses 1 pint 9 fluid ounces and then 2 pints 10 fluid ounces from a container of film developer that holds 3 quarts. How much of the developer remains? / 3 quarts = 6 pints
1 pint = 16 oz
3 quarts = 96 oz
96 oz – (16+9) – (32+10)
= 29 oz left over
Section 7.2 #50 (pg. 520)
50. What unit in the metric system would you use to measure each of the following quantities?
(a) Distance from Los Angeles to New York
(b) Your waist measurement
(c) Width of a hair
(d) Your height / (no work to be shown)
(a) km
(b) cm
(c) micrometers
(d) m
Section 7.3 #70 (pg. 528)
70. The United States emitted 19.5 million tons of nitrogen oxides into the atmosphere in 1987. One metric ton equals 1,000 kilograms. How many kilograms of nitrogen oxides were emitted to the atmosphere in the United States during 1987? / 19.5 million = 19,500,000
Multiply by 1000 kg:
19,500,000,000 kg
Section 7.4 #6 (pg. 533)
Complete this statement. (Round to the nearest hundredth)
6. 72 inches = ____ centimeters / 1 in = 2.54 cm, so 72 multiplied by 2.54
= 182.88 cm
Section 7.4 #12 (pg. 533)
Complete this statement. (Round to the nearest hundredth)
12. 7 liters = ____ quarts / 1 L = 1.05668821 qt
Multiply by 7:
= 7.39681747 qt
Rounds to:
7.40 quarts
Section 7.4 #18 (pg. 533)
18. Samantha’s speedometer reads in kilometers per hour. If the legal speed limit is 55 miles per hour, how fast can she drive? / 1 mi/hr = 1.609344 km/hr
55 times 1.609344
= 88.51392 km/hr
Round:
88.51 km/hr
Section 7.5 #6 (pg. 546)
Identify each object as a line or line segment.
/ (no work to be shown)
It is a line, since it goes infinitely in each direction (assuming that you aren’t asking specifically about the part between u and v – that is just a line segment)
Section 7.5 #26 (pg. 547)
Give an appropriate name for each indicated angle.
/ (no work to be shown)
Acute
Section 7.5 #52 (pg. 550)
Find ma, mb, and mc.
/ (Show or explain why)
Angle a = 56
because of alternate exterior angles
Angle b = 124 because straight lines add to 180
Angle c =124 because straight lines add to 180
Section 7.6 #2 (pg. 557)
Label the triangle as acute or obtuse.
/ (no work to be shown)
Obtuse
Section 7.6 #10 (pg. 557)
Label the triangle as equilateral, isosceles, or scalene.
/ (no work to be shown)
Scalene
Section 7.6 #24 (pg. 559)
Assume that the given triangle is isosceles.
/ mD = mF = (180-72)/2 = 54 degrees
They have to be equal, and the whole thing must add to 180 degrees
Section 7.6 #26 (pg. 559)
26. Which two triangles are similar?
/ Triangles “a” and “b” are similar since they are both 30-60-90 triangles. The angles must add to 180 degrees, and the non right angle in triangle C is not 30 or 60.
Section 7.6 #44 (pg. 563)
44. A tree casts a shadow that measures 5 meters. At the same time, a meter stick casts a shadow that is 0.4 meters long. How tall is the tree? / Set up a proportion:
Cross multiply:
0.4x = 5
Divide by 0.4:
x = 12.5 meters
Section 7.7 #4 (pg. 570)
Find the square root.
4. / (using a calculator is OK, but show work to check)
What number multiplied by itself equals 196?
14 times 14 = 196
= 14
Section 7.7 #16 (pg. 570)
Find the missing length for the given triangle.
/ (using a calculator is OK, but show work to check)
Use the Pythagorean Theorem:
Finished? I encourage you to go back and check each answer. Did you show all your work? Did you label every answer?