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Mike had a jar of nickels that had five more nickels than he originally thought. If the total amount of nickels was $4.35, how many nickels did Mike think he had originally?

$4.35 / 5 = 87 - 5 = 82

The hours of darkness in May are most similar to which month?

September

A candy maker makes two sizes of candies. Using the smaller size, a full jar will contain 120 pieces of candy. Using the larger candies a jar will contain 80 pieces of candy. The candy maker has a strict rule that no jars will contain a mix of small and large candies. If a store has room for 15 jars and they want 1560 total pieces of candy, how many jars will contain smaller candies?

x = smaller size y = larger size 120x + 80y = 1560 x + y = 15 3x+2y = 39 2x+2y = 30 x = 9 y = 6 120(9)+80(6) = 1080+480 = 1560 9 jars of smaller, 6 jars of larger

There are 4 times as many used cars in the car dealership lot as there as new cars. There are 120 cars total in the dealership lot. How many new cars are in the car dealership lot?

total car = 4x+x=120 5x=120 x=120/5=24 new car =24

A basketball team has eight boys and four girls on the roster. The boys average 12 points each. The team averages 136 points as a whole. How many points does each girl average?

(8 boys x 12 points= 96 points) (136 - 96= 40) (40points/4 girls)= 10 points

A store buys a pack of gum for 33 cents per pack from their supplier. How much would 12 packs cost?

.33 x 12 =$3.96

Ben's General Store is selling yarn for $.04 a foot. How many feet can you buy for $0.52?

0.52/.04= 13ft

A race car travels 100 feet in .5 seconds. At this rate of speed, how many feet will the race car travel in a minute?

100 feet in 5 seconds = 200 feet in 10 seconds 1 minute = 60 seconds 10 seconds X 6 = 1 Minute 200 feet x 6=1200 feet

A car traveled 11.5 miles in 15 minutes. How many miles per hour was it traveling?

15/60= 0.25 11.5/0.25=46

A boy is 17 years old and his sister is twice as old. When the boy is 23 years old, what will be the age of his sister?

23 + 17= 40 years old

Four individuals invest in real estate together and agree to split the profits equally. N invests $12,000, X invests $6,000, Y invests $25,000 and Z invests $7,000. If the profits for the first year were $120,000, Y receives __?__ less than if the profits were divided in proportion to how much they invested.

30,000

There are 12 more toy cars than toy trucks in a toy box with a total of 38 toy cars and trucks. How many toy trucks are in the toy box?

38 - 12 = 26

A road construction crew is resurfacing the highway between point D and point E. The distance between point D and point E is 93 miles of road. The crew has completed 35 miles. If they work at a pace of 2.9 miles per day, how many more days will it take to finish?

93 miles-35 miles=58 miles, 58 miles/2.9 miles per day=20 days

VEHEMENT- APATHETIC

Contradictory meaning VEHEMENT- showing strong feeling; forceful, passionate, or intense APATHETIC- showing or feeling no interest, enthusiasm, or concern.

99 33 11 3 2/3

Divide by 3 99/3= 33/3= 11/3= 3 2/3= 11/9

What is the next number in the sequence? 3, 7, 15, 31, 63

Each number in the series is the next number multiplied by 2 and then added by 1. So 127

The hours of sunlight in September is most similar to the hours of sunlight in which month?

March

What is the opposite of Tardy

Punctual

A copy machine repairman makes $12.50 per hour plus $4 for every service call he performs. Last week he worked 34 hours and made 6 service calls. How much money did he make?

We worked for 34 hours, so we have: 34 × 12.50 = $425 ...........(1) NOW, he made 6 service calls. He earns $4 per call. So we have: 6 × 4 = $24 ......... (2) Adding (1) and (2) to get the total amount, we will have the following: $425 + $24 = $449 So the answer is that he made $449.

Three individuals form a partnership and agree to divide the profits equally. X invests $9,000, Y invests $7,000, Z invests $4,000. If the profits are $4,800, how much less does X receive than if the profits were divided in proportion to the amount invested?

add up the total investment 9000+700+4000=20,000 2) find the porportion of each investor (i simplified) x -- 9000/20000 = 9/20ths of the investment y -- 7000/20000 = 7/20th of the investment z -- 4000/20000 = 1/5th of the investment 3) figure out what each gets: x-- 9/20*4800 = 2160 y -- 7/20*4800 = 1680 z -- 1/5*4800 = 960 4) as always check yourself - add up the profits and make sure they equal 4800 2160+1680+960=4800 5) figure out how much they would recieve if they share the profits equally 4800/3 =1600 6) how much less would x recieve 2160-1600= 560


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