math problems

A robbery suspect has been arrested. The judge in the case has set bail at one million dollars. The bail bondsman requires a 10% deposit to issue a bail bond. What portion of the one million dollars does the robbery suspect need to pay to get the bail bond?

$100,000 $1,000.000 x .1 = $100,000

fencing costs $1.50 per picket. 2 pickets are used per foot. posts cost $13.75 per post. A post is required at the end of every 10 foot section. How much will it cost for 50 feet long

$232.50 each ten foot section will require 1 post and 20 pickets (2x10) - will cost #13.75+20X $1.5= $13.75+ $30= 43. 75 to make a 50 foot fence, 5 sections will be needed plus one post at the end - 4 x 43.75+ 13.75 = 218.75 - 218.75+ 13.75= $232.50

Aaron sells apple pies for $10 each. Bob sells beverages for $1 each. If Aaron sells 23 apple pies and Bob sells 17 beverages, what is the total in sales for both products combined?

$247

Cindy goes to her bank to withdraw some money from her account. She has a balance of $527.41. She withdraws $250.00. What is the balance of her account after the withdrawal?

$277.41 $527.41 - $250

John's gross pay for last month was $4,687.24. If $421.78 was deducted from John's gross pay, how much take-home pay did John earn this past month?

$4,265.46

Jane's monthly income in the year 2010 was $48,200, where 14% of her salary was withheld for income tax. In the year 2011, her monthly salary was $51,800, where 16% of her income was withheld for income tax. What was her average take home pay during the years 2010-2011?

$42,482

Last month, Roger's checking account had a balance of $347.20. Since then, Roger deposited his paycheck of $563.89 and withdrew $478.53. What is Roger's checking account balance now?

$432.56

The average salary of a police officer in Arizona is $52,674, which is 11 percent more than the national average. What is the national average?

$52,674 is 11% more than the national average. Therefore, think of this value as the same as 100% + 11% = 111%. In this case, 100% is the national average and 111% is national average + 11% increase for Arizona. If we divide $52,674 by 111%, we find that 1% is the same as $474.54. For 100%, we multiply that value by 100 = $47,454. To confirm the answer, simply find 11% of $47,454 and add it on. You will find it gives us the average salary wage of Arizona, namely $52,674.

A women's clothing store sells the following articles of clothing for the following prices: Blouse: $14 each Skirt: $16 each Dress: $25 each Pantyhose: 2 pairs for $3 Socks: $7 Jennifer goes to the store on a day when the store has a 20% off sale on all skirts. If Jennifer buys 2 skirts, 1 dress, and 4 pairs of pantyhose, how much money does Jennifer have to pay?

$56.60

The band, chorus, and theater group at a local high school agree to hold a joint bake sale to raise money. The profits from the bake sale will be split evenly among the three group. If the total profit from the bake sale is $864, how much money will the band and theater group combined receive in total?

$576

a family of four have a dinner bill for $ 44.00. A 15 % tip has been added on top of a sales tax of 8% is added to the amount. how much is the tip?

$7.13 44 x .08= 44+ 3.52= 47.52 47.52 x .15 = $7.128 and round up

Starting from the ground floor, John takes an elevator to the 10th floor. John then goes down 2 floors and up 8 floors. John is on what floor?

. 16 10 - 2 + 8

Two coins are tossed, find the probability that two heads are obtained.

.25 probability of being heads= 50 percent or 1/2 probability of being tails= 50 percent or 1/2 1/2 x/ 1/2= 1/4 or 25%

A taxi skidded 468 feet before landing in a ditch. How many yards did the taxi skid?

1 yard = 3 feet - 468 feet 468 / 3 ANSWER: 156

A flying object has traveled a total distance of 1,800 miles in 20 days flying 12 hours each day. What is the average speed that the flying object was traveling?

1,800 miles divided by 20 days gives us an average of 90 miles per day. The object flew for 12 hours each day. 90 miles per day divided by 12 hours = 7.5 miles per hour

Solve the following: 18 - 3 + (- 5)

10 18 - 3 + (- 5) 18 -3 - 5 18 - 8 = 10

An appliance store is burglarized and 21 clock radios with a total value of $1050 are stolen. What is the average value of the radios.

1050 / 21 $50

In a box of marbles, the ratio of red marbles to total marbles is 2:5. The ratio of green marbles to total marbles is 3:10. If the marbles that are neither red nor green are blue, how many blue marbles are in the box if there are 40 marbles in the box?

12

A car skidded 8 feet, 11 inches before coming to a complete stop. The accident report must list the distance in inches only. What distance should be entered on the report?

12 inches =1 foot 8 x 12+11 96+ 11 = 107

During a 10 day period, Officer Mandel drove his patrol motorcycle 1320 miles. If he drove 105 miles on one day, how many miles did he average on the other days?

135

You are called to a crime scene and need to get there as quickly as possible. The crime scene is 10.5 miles away. You will be able to drive an average of 45 miles per hour. Approximately how long will it take you to get to the scene?

14 minutes

Your unit has arrested a drug dealer who was in possession of $675,00 worth of heroin at the time of the arrest. If the value of heroin is $150,000 per kilogram, how many kilograms of heroin did the dealer have?

150,000 / 675,00 5

On Thursday, Officer Jackson worked the 3 p.m. to 11 p.m. shift. At 10:55 p.m. he was called to the scene of an accident where he remained until 1:30 a.m. How long past his regular shift did Officer Jackson work?

2 hours, 30 minutes

In the last 3-months, Judge Morris jailed 7 people for aggravated theft. They were jailed for 2, 1, 3, 4, 2, 2, and 5-years, respectively. Over this 3-month period, what is the median jail sentence that Judge Morris applied?

2 years

In one classroom, 12.5% of the students own at least one pet. If there are 32 students in the classroom, how many students do not own any pets?

28

A police officer is called to an accident scene across town from his present location. If he has to travel three miles on Miller Road, four miles on route 66, and 14 miles on interstate 30, how many miles does he have to travel to get to the accident scene.

3+4+14 21 miles

officer hilton was asked to peform secondary inspection of 7 individuals. after 2 hours, he had completed inspecting 4 of the indivudals. working at the same rate, how long will it take him to finish

3.5 hours let represent total number of individuals to be inspected 4/7x = 2 hours X=2 hours / 4/7 2x7/4=14/4= 3.5

yesterday bob earned 50 dollars mowing lawns today, he earned 60 percent of what he learned yesterday how much did bob earn today?

30

A mountain trail is 12.1 miles long. If a hiker walks along the trail at a rate of 1.96 miles per hour, in approximately how many hours will the hiker walk the entire trail?

6

there are 5 red balls in a basket including 75 blue balls. What is the probability of pulling a red ball

6.25% 80 total balls ( 75+5) 5 in 80 chance of pulling a red ball 5/ 60= .0625 .0623 x 100 %= 6.25%

on the blue prints to the new courthouse, 1/4 inch = 1 foot of actual length. the blue prints show the judges bench as being a line 2 inches. How long is the actual length of the bench

8 feet 1/4 inch can be restated as 1 inch = 4 feet 2 inches ( the bench) x 4ft/inch = 8 feet

an officer rented a car for 6 days and was charged $450. The car rental company charged $35 per day plus 30 cents per mile driven. How many miles did the officer drive the car.

800 miles The officer drove the day for 6 days at $35 per day 6 (35) =210 the total, $450 -210 = 240 which is the porton of the total drive expended by the miles driven divide it by the charge per mile: 240 / .30= 800

Officer Perry prepared a police report on a theft from a hardware store. He listed the stolen property as follows: Air Compressor - $600 Drill - $100 Electric Saw - $250 Copper Pipe - $500 A. What is the total value of the stolen property? B. What is the value of the goods in question 24 not including the electric saw?

A. $1450 B. $1200

A local pharmacy has been burglarized. The following is a summary of the kinds of drugs that were stolen and their total value: Narcotics $7,000; Barbiturates $4,000; Analgesics $9,500; and Other $3,000. W A. what category of drugs represents the most expensive loss to the pharmacy? B. What was the total value of the stolen goods?

A. Analgesics B. $23,500.00

A squad car chased a target vehicle for 160 miles at a speed of 80 miles per hour. Upon reprimanding the suspect, they returned to the police station at 40 miles per hour. In total, what is the average speed per hour that the squad car traveled?

Chasing the suspect: 160 miles travelled @ 80 mph = 2 hours Returning: 160 miles travelled @ 40 mph = 4 hours Total distance travelled: 160 miles + 160 miles = 320 miles Total time travelled: 2 hours + 4 hours = 6 hours Conclusion: 320 miles / 6 hours = 53 miles per hour on average

As of 2019, San Antonio Police Department covers an area of 465.4 square miles, with a population of approximately 1.5 million. On average, how many people live in 12 square miles of San Antonio Police Department?

First, we must divide 1,500,000 by 465.4 square miles, to give us how many people live in 1 square mile: 1,500,000 / 465.4 = 3,223 people per square mile. We multiply by 12 now: 38,676 people live (on average) in 12 square miles within the police department.

A victim of theft was lucky to have 40% of her stolen money returned. If she received $60, how much was originally stolen from her?

If 40% of her stolen money is $60, then 10% must be $15 (60 / 4 = 15). If 10% is $15, then 100% must be $150. The victim was robbed by $150 and had $60 returned to her.

The odometer on a squad car shows that the police officer traveled 1,478 miles over the past 12 days. On average, how many miles are covered in 5 days?

If the car traveled 1,478 miles in 12 days, then by dividing by 12 we learn how many miles the car - on average - traveled each day. 1,478 / 12 = 123.16 miles If the car traveled 123.16 miles in 1 day, then we multiply by 5 to establish how many miles were covered in 5 days: 123.16 x 5 = 615.8 miles, or 616 miles when we round the figure up

Two-fifths of police officers at New York Police Department are female. If there are 36,000 police officers, how many officers are male?

If two-fifths (2/5) of the department are female, then three-fifths (3/5) are male. First, then, we need to learn how many constitute one-fifth, then multiply that value by 3. 36,000 / 5 = 7,200 This means there are 14,400 female police officers and 21,600 male officers.

Los Angeles Police Department has, on review, 10 male officers to every 4 female officers. What is the reduced ratio of male:female officers in the department?

The question asks us to find the ratio in its most reduced form. In this case, male:female - meaning 10 male officers to each 4 female officers. Therefore, the initial ratio is 10:4. However note that both sides are even numbers and we can divide both sides by 2. - 10:4 is the same as 5:2

A driver was found speeding and, as the vehicle stopped, it skidded 10 feet and 14 inches. The accident report states that only inches should be listed. How many inches was the vehicle speeding for?

There are 12 inches in 1 foot. Therefore 10 feet has 120 inches. We add the remaining 14 inches to give us 134 inches.

A suspected thief was apprehended with a briefcase containing 16 100-dollar bills, 9 50-dollar bills and 75 20-dollar bills. How much was the thief carrying?

a) 100 x 16 b) 9 x 50 c) 75 x 20 d) add all above ANSWER: $3,550

Officer Allie visits preschools and daycare centers as part of her department's child safety awareness program. If she visits four places each week, except for her three week vacation, how many places does she visit in one year?

a) 52 (weeks per year) - (3 weeks for vacation) = 49 weeks b) 49( weeks per year w vacation) x 4 (places a week) ANSWER: 196

You are in charge of investigating a break-in and burglary at a local clothing store. The store owner tells you that money was taken from the register totaling $2,400. The burglar(s) also took the following items: 10 coats, 17 necklaces, and 14 pairs of earrings. The value of each these items is shown below: - Coats: $75 each - Necklaces: $45 each - Earrings: $30 per pair What is the total value that was stolen, including cash and goods?

cash: 2400 Coats: 10 x 75 Necklaces: 17 x 45 earrings: 14 x 30 add all ANSWER: $4,335