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Julian has to read 4 articles for school. He has 8 nights to read them. He decides to read the same number of articles each night.a. How many articles will he have to read per night? b. What fraction of the reading assignment will he read each night?
General
2 months ago
The Calef family likes to paddle along the Susquehanna River.a. They paddled the same distance each day over the course of 3 days, traveling a total of 14 miles. How many miles did they travel each day? Show your thinking in a tape diagram. b. If the Calefs went half their daily distance each day but extended their trip to twice as many days, how far would they travel?
General
2 months ago
Jackie cut a 2-yard spool into 5 equal lengths of ribbon.a. What is the length of each ribbon in yards? Draw a tape diagram to show your thinking.b. What is the length of each ribbon in feet? Draw a tape diagram to show your thinking.
General
2 months ago
Five pounds of birdseed is used to fill 4 identical bird feeders.a. What fraction of the birdseed will be needed to fill each feeder?b. How many pounds of birdseed are used to fill each feeder? Draw a tape diagram to show your thinking.c. How many ounces of birdseed are used to fill three bird feeders?
General
2 months ago
Lila collected the honey from 3 of her beehives. From the first hive she collected 2/3 gallon of honey. The last two hives yielded 1/4 gallon each.a. How many gallons of honey did Lila collect in all? Draw a diagram to support your answer.b. After using some of the honey she collected for baking, Lila found that she only had 3/4 gallon of honey left. How much honey did she use for baking? Support your answer using a diagram, numbers, and words.c. With the remaining 3/4 gallon of honey, Lila decided to bake some loaves of bread and several batches of cookies for her school bake sale. The bread needed 1/6 gallon of honey and the cookies needed 1/4 gallon. How much honey was left over? Support your answer using a diagram, numbers, and words.d. Lila decided to make more baked goods for the bake sale. She used 1/8 lb less flour to make bread than to make cookies. She used 1/4 lb more flour to make cookies than to make brownies. If she used 1/2 lb of flour to make the bread, how much flour did she use to make the brownies? Explain your answer using a diagram, numbers, and words.
General
2 months ago
Carly and Gina read the following problem in their math class:Seven cereal bars were shared equally by 3 children. How much did each child receive?Carly and Gina solve the problem differently. Carly gives each child 2 whole cereal bars and then divides the remaining cereal bar among the 3 children. Gina divides all the cereal bars into thirds and shares the thirds equally among the 3 children.a. Illustrate both girls’ solutions.b. Explain why they are both right.
General
2 months ago
Polly buys 14 cupcakes for a party. The bakery puts them into boxes that hold 4 cupcakes each.a. How many boxes will be needed for Polly to bring all the cupcakes to the party? Explain how you know.b. If the bakery completely fills as many boxes as possible, what fraction of the last box is empty? How many more cupcakes are needed to fill this box?
General
2 months ago
A principal evenly distributes 6 reams of copy paper to 8 fifth-grade teachers.a. How many reams of paper does each fifth-grade teacher receive? Explain how you know using pictures, words, or numbers.b. If there were twice as many reams of paper and half as many teachers, how would the amount each teacher receives change? Explain how you know using pictures, words, or numbers.
General
2 months ago
The equation y = 8.5x - 77.5 is a linear model for data comparing thespeed that a car is going (x) to the stopping distance it takes for the car to stop(y). Speed is measured in mph and distance in feet. What is the averagestopping distance of a car going 45 mph?
General
2 months ago
Shaunee won 79 tickets at Chuck e' Cheese's. Shekept 25 of them, and split the rest evenly between 3friends. How many did each friend get?
General
2 months ago
A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years. With all else equal, what is the future value of this initial investment after the six year period
General
2 months ago
The Richmond Family Restaurant has several types of hamburgers on its menu. The more hamburgers their customers order, the more hamburger buns they will use.h = the number of hamburgers orderedb = the number of hamburger buns usedWhich of the variables is independent and which is dependent?
General
2 months ago
Biologists have found that the number of chirps some crickets make per minute is related to temperature. the relationship is very close to being linear. When crickets chirp 124 times a minute, it is about 68 degrees Fahrenheit. When they chirp 172 times a minute, it is about 80 degrees Fahrenheit.Identify the variablesx= ___________y= ___________y-intercept= __________slope= _______Create an equation in y=mx+b formHow warm is it when the crickets are chirping 150 times a minute? Please help, I have to turn this in tomorrow 45 POINTS
General
2 months ago
You are selling concessions at a local swim meet. Hot dogs are being sold for $1.00 and soda is being sold for $0.50. At the end of the day you made $150. Let x represent the number of hotdogs sold and y represent the number of sodas sold. Write an equation that can be used to find the number of hotdogs and sodas sold at the swim team.A) Standard Form:B) Slope-Intercept Form:C) If you sold 40 hot dogs how many sodas did you sell?D) Using the Standard Form, identify the x-intercept of the graph and explain how the x-intercept relates to the number of hot dogs and sodas sold.E) Using Standard Form, identify the y-intercept of the graph and explain how the y-intercept relates to the number of hot dogs and sodas sold.
General
2 months ago
8. It has been estimated that about 18.5% of adults whose income is below the poverty level work full-time throughout the year. A random sample of 150m people whose poverty level meets the criteria have been chosena. What is the expected value?b. Calculate the standard deviation
General
2 months ago
Consider the following definitions for sets of characters: Digits = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} Letters = {a, b, c, d, e, f, g, h, I, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z} Special characters = {*, &, $, #} Compute the number of passwords that satisfy the given constraints. Answer questions with big number answers as powers or sum of powers (Ex: 15%^7 instead of 170, 859, 375) Strings of length 6. Characters can be special characters, digits, or letters. Strings of length 7, 8, or 9. Characters can be special characters, digits, or letters. Strings of length 7, 8, or 9. Characters can be special characters, digits, or letters. The first character cannot be a letter 4) Strings of length. Strings of length 6 Characters can be special characters, digits, or letters, with no repeated characters. You will not be able to answer this with as a power or sum or powers) Strings of length 6. Characters can be special characters, digits, or letters, with no repeated characters The first character cannot be a special character.
General
2 months ago
A triangle with exterior angles is shown. A triangle sits on a line and forms 2 exterior angles on the left and right of the triangle of (2 h) degrees. The top interior angle of the triangle is 40 degrees. What is the value of h? h = 20 h = 35 h = 55 h = 70
General
2 months ago
A wall clock is equally divided into 12 sections. If the clock reads 8:00 and has a diameter of 12.5 inches, find the area of the smaller sector formed by the minute and hour hands.
General
2 months ago
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly and at a constant rate. After 8 months, he weighed 138 kilograms. He started at 90 kilograms. Let y represent the sumo wrestler's weight (in kilograms) after xxx months. Complete the equation for the relationship between the weight and number of months. y= ???
General
2 months ago
7. A recent medical survey reported that 45% of the respondents felt that the doctor explained their condition in a sufficient manner. Assuming that this poll reflects all the patients, find the probability that for 12 patients: a. Four or more agreeb. No more than 8 agreed
General
2 months ago
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