MaryLIT
28.12.2019 •
Mathematics
Atruck that can carry no more than 6600 lb is being used to transport refrigerators and upright pianos. each refrigerator weighs 200 lb and each piano weighs 475 lb. write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. will 17 refrigerators and 8 pianos overload the truck? explain. let x be the number of refrigerators in the truck and y be the number of pianos in the truck. write an inequality to show how many refrigerators and how many pianos the truck could carry. y equals 15 (use integers or simplified fractions for any numbers in the inequality. do not factor.)
Solved
Show answers
More tips
- F Family and Home How to Sew Curtain Tapes: Best Tips from Professionals...
- A Animals and plants How to Grow Lime from a Seed: Simple Tips and Interesting Facts...
- C Computers and Internet How to Create a Folder on Your iPhone?...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
Answers on questions: Mathematics
- M Mathematics This question has two parts. Be sure to answer both parts of the question PARTA A store sells different flavors of fudge candy. Mary spends $18.20 on 3.5 pounds of peanut...
- M Mathematics Find the value of x. . 102 3x (y + 710 78 39 32 O 13...
- M Mathematics MATTRICES PLEASE HELP WILL GIVE BRAINLIEST...
- M Mathematics At Penny s Pie Shop, it costs $4 for 1/4 of a pie. What is the cost of a whole pie? Simplify your answer and write it as a proper fraction, mixed number, or whole number....
- M Mathematics The line with equation -a+3b=0 coincides with the terminal side of an angle θ in standard position and sin θ 0. What is the value of cosθ? a. 1/3 b. sqrt 10 c.-sqrt 10/10...
- M Mathematics a grocery storr buys items and then applies a markup of 70%. Find the markup if the original cost was 10$...
- M Mathematics Dimitri says that a function that is made of terms with a variable is raised only to an odd power will be an odd function do you agree with Demetri explain why or why...
- M Mathematics I need help with this.... anyone wanna help?...
- M Mathematics N is a positive integer. (i) Explain why n(n - 1) must be an even number....
- M Mathematics A shop is recording the queuing time of its customers and produces the cumulative frequency graph shown below. a) how many customers queued for more than 20 minutes? b)...
Ответ:
The inequality to represent this problem is:
And its graph is shown in the attached image.
17 refrigerators and 8 pianos would certainly overload the truck.
Step-by-step explanation:
The total weight of refrigerators and pianos (if there are x number of refrigerators and y number of pianos) is given by the following algebraic expression:
since each piano weighs 200 pounds and each refrigerator wirghs 475 pounds.
We are limited by the maximum load of 6600 pounds that the truck can carry, therefore, the inequality we are looking for becomes:
This inequality can be re-written by isolating the term in y on one side of the inequality symbol:
In order to graph this inequality, we start by graphing the boundary line:
and then by selecting the half plane that satisfies the "smaller than" part of the inequality (see the highlighted region in blue in the attached image). Notice that we have only considered the regions of the plane that contain x and y values larger than or equal zero, since there is no meaning of considering negative x or y values given that they represent the number of refrigerators and pianos to be loaded in the truck.
Using this algebraic representation, we notice that 17 refrigerators (x=17) would render a maximum value for y of 6.7368 (which is smaller than 8) therefore yes, 17 refrigerators and 8 pianos would certainly overload the truck.
Ответ:
hope i helped