A city has 8,958 recycle bins. The city gives half of the recycle bins to its citizens. The rest of the recycle bins are divided into 25 equal groups for city parks. How many recycle bins are left over?

Question
Fractions
asked 2021-01-07
A city has 8,958 recycle bins. The city gives half of the recycle bins to its citizens. The rest of the recycle bins are divided into 25 equal groups for city parks. How many recycle bins are left over?

Answers (1)

2021-01-08
If the city has 8,958 recycle bins and gives half of them to its citizens, then \(\displaystyle{\frac{{{1}}}{{{2}}}}\times{8},{958}={4},{479}\) bins are given to its citizens and 4,479 bins are kept by the city.
If the city takes the remaining 4,479 bins and divides them into 25 equal groups to give to the city parks, then you need to find the largest multiple of 25 that is less than 4,479. Multiples of 25 end in 00, 25, 50, or 75 so 4,475 is the largest multiple of 25 that is less than 4,479.
The number of recycle bins that are left over after giving them to the citizens and the city park is then 4,479−4,475=4 bins.
0

Relevant Questions

asked 2021-01-02
Sarah's craft project uses pieces of yarn that are 1/8 yard long. She has a piece of yarn that is 3 yards long. How many 1/8-yard pieces can she cut and still have 1 1/4 yards left?
asked 2021-03-11
The following problem is solved by using factors and multiples and features the strategies of guessing and checking and making an organized list.
Problem
A factory uses machines to sort cards into piles. On one occasion a machine operator obtained the following curious result.
When a box of cards was sorted into 7 equal groups, there were 6 cards left over, when the box of cards was sorted into 5 equal groups, there were 4 left over, and when it was sorted into 3 equal groups, there were 2 left.
If the machine cannot sort more than 200 cards at a time, how many cards were in the box?
asked 2020-10-23
Researchers wanted to compare the effectiveness of a water softener used with a filtering process with a water softener used without filtering. Ninety locations were randomly divided into two groups of equal size. Group A locations used a water softener and the filtering process, while group B used only the water softener. At the end of three months, a water sample was tested at each location for its level of softness. (Water softness was measured on a scale of 1 to 5, with 5 being the softest water.) The results were as follows: Group A (water softener and filtering) \(\displaystyle{x}_{{1}}={2.1}\)
\(\displaystyle{s}_{{1}}={0.7}\) Group B (water softener only) \(\displaystyle{x}_{{2}}={1.7}\)
\(\displaystyle{s}_{{2}}={0.4}\) Determine, at the 90% confidence level, whether there is a difference between the two types of treatments.
asked 2020-11-30
A factory processes 1,560 ounces of olive oil per hour. The oil is packaged into 24-ounce bottles. How many bottles does the factory fill in one hour?
asked 2021-02-14
One cake recipe calls for \(\displaystyle\frac{{2}}{{3}}\) cup of sugar. Another recipe calls for \(\displaystyle\frac{{1}}{{4}}\) cups of sugar. How many cups of sugar are needed to make both cakes?
asked 2021-03-05
A new vaccine was tested to see if it could prevent the ear infections that many infants suffer from. Babies about a year old were randomly divided into two groups. One group received vaccinations, and the other did not. The following year, only 328 of 2460 vaccinated children had ear infections, compared to 508 of 2453 unvaccinated children. Complete parts a) through c) below. a) Are the conditions for inference satisfied? A. Yes. The data were generated by a randomized experiment, less than 10% of the population was sampled, the groups were independent, and there were more than 10 successes and failures in each group. B. No. It was not a random sample. C. No. The groups were not independent. D. No. More than 10% of the population was sampled.
asked 2021-01-04
Some students make a parade float with the letter H on it. Draw lines to divide the shape into rectangles. Then find its area.
A 38 square feet
B 46 square feet
C 40 square feet
D 29 square feet
asked 2020-10-23
1. Find each of the requested values for a population with a mean of \(? = 40\), and a standard deviation of \(? = 8\) A. What is the z-score corresponding to \(X = 52?\) B. What is the X value corresponding to \(z = - 0.50?\) C. If all of the scores in the population are transformed into z-scores, what will be the values for the mean and standard deviation for the complete set of z-scores? D. What is the z-score corresponding to a sample mean of \(M=42\) for a sample of \(n = 4\) scores? E. What is the z-scores corresponding to a sample mean of \(M= 42\) for a sample of \(n = 6\) scores? 2. True or false: a. All normal distributions are symmetrical b. All normal distributions have a mean of 1.0 c. All normal distributions have a standard deviation of 1.0 d. The total area under the curve of all normal distributions is equal to 1 3. Interpret the location, direction, and distance (near or far) of the following zscores: \(a. -2.00 b. 1.25 c. 3.50 d. -0.34\) 4. You are part of a trivia team and have tracked your team’s performance since you started playing, so you know that your scores are normally distributed with \(\mu = 78\) and \(\sigma = 12\). Recently, a new person joined the team, and you think the scores have gotten better. Use hypothesis testing to see if the average score has improved based on the following 8 weeks’ worth of score data: \(82, 74, 62, 68, 79, 94, 90, 81, 80\). 5. You get hired as a server at a local restaurant, and the manager tells you that servers’ tips are $42 on average but vary about \($12 (\mu = 42, \sigma = 12)\). You decide to track your tips to see if you make a different amount, but because this is your first job as a server, you don’t know if you will make more or less in tips. After working 16 shifts, you find that your average nightly amount is $44.50 from tips. Test for a difference between this value and the population mean at the \(\alpha = 0.05\) level of significance.
asked 2020-11-26
Use either the critical-value approach or the P-value approach to perform the required hypothesis test. For several years, evidence had been mounting that folic acid reduces major birth defects. A. Czeizel and I. Dudas of the National Institute of Hygiene in Budapest directed a study that provided the strongest evidence to date. Their results were published in the paper “Prevention of the First Occurrence of Neural-Tube Defects by Periconceptional Vitamin Supplementation” (New England Journal of Medicine, Vol. 327(26), p. 1832). For the study, the doctors enrolled women prior to conception and divided them randomly into two groups. One group, consisting of 2701 women, took daily multivitamins containing 0.8 mg of folic acid, the other group, consisting of 2052 women, received only trace elements. Major birth defects occurred in 35 cases when the women took folic acid and in 47 cases when the women did not. a. At the 1% significance level, do the data provide sufficient evidence to conclude that women who take folic acid are at lesser risk of having children with major birth defects? b. Is this study a designed experiment or an observational study? Explain your answer. c. In view of your answers to parts (a) and (b), could you reasonably conclude that taking folic acid causes a reduction in major birth defects? Explain your answer.
asked 2021-02-21
A crate of fruit with mass 35.0 kg and specific heat capacity 3650 J/Kg . K slides down a ramp inclined 36.9 degrees below the horizontal. the ramp is 8.00 m long.
a) If the crate was at the rest the top of the incline and has a speed of 2.5o m/s the bottom how much work was done on the crate by friction?
b) If an amount of heat equal to the work done by friction goes into the crate of fruit and the fruit reacches a uniform final temperature, What is the temperature change?
...