The length of a rectangle is three centimeters less than the width. If one area of the rectangle is 53 cm^2, find the dimensions of the rectangle. (explain how you got step by step)
does each set of side lengths form a right triangle 10 m, 11 m, 15 m or 15 m, 8 m, 17 m,
10m, 11m, 15m is not a right triangle
15m, 8m, 17m is a right triangle
6.4 rounded to the nearest whole number
There are three liters Of apple juice at a school party. 10 students want to drink all of the apple juice, and they all want to get exactly the same amount. How much apple juice can each student have?
To calculate the amount of apple juice each of the 10 students can have, divide the total volume of 3 liters by 10, resulting in 0.3 liters per student.
The question involves dividing a total volume of liquid evenly among a number of participants, which is a basic arithmetic problem in mathematics, specifically dealing with division.
To find out how much apple juice each student can have, you need to divide the total amount of apple juice by the number of students. There are 3 liters of apple juice and 10 students. So, each student can have 3 liters / 10 students = 0.3 liters of apple juice. A liter is a unit of capacity, and it's comparable to a jug of milk or a bottle of soda, which also holds a similar amount of liquid. Hence, the volume in this context is measured in liters. When you divide the total volume of apple juice by the number of students, you get the volume that each student will receive.
A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular container costs the company $16, while the cylindrical container costs the company $15. If the company needs to package 6,400 candles, should it use only rectangular or only cylindrical containers to minimize costs? Explain. How many rectangular containers will be necessary to package 6,400 candles?
To minimize costs, the company should use only rectangular containers. The company will need 143 rectangular containers to package 6,400 candles.
Explanation:To minimize costs, the company should use only rectangular containers to package the 6,400 candles. Since each rectangular container holds 45 candles and costs $16, we can calculate the number of containers needed by dividing the total number of candles by the number of candles in each container:
Number of rectangular containers needed = Total number of candles / Number of candles in each rectangular container
= 6,400 / 45
= 142.22
Since we cannot have a fraction of a container, we need to round up to the nearest whole number. Therefore, the company will need 143 rectangular containers to package 6,400 candles.
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Which of the following values does not satisfy the inequality-2x-6is less than or equal to 1 A)-4 B)-3 C)-2 D)-1
Answer:
-4
Step-by-step explanation:
at the animal shelter 5/8 are cats. Of the cats, 2/3 are kittens. What fraction of animals at the shelter are kittens?
Approximate height of tower the person is
John made $195 for 13 hours of work. At the same rate, how much would he make for 17 hours of work?
Final answer:
John's hourly wage is calculated to be $15 per hour. For 17 hours of work at this rate, John would earn $255.
Explanation:
John made $195 for 13 hours of work, which means his hourly wage is the total amount earned divided by the total hours worked. To find John's hourly wage we calculate $195 ÷ 13 hours = $15 per hour. To determine how much he would make for 17 hours of work at this same rate, we multiply his hourly wage by 17 hours.
$15 per hour × 17 hours = $255
Therefore, at the same hourly rate, John would make $255 for 17 hours of work.
In the situation, simple interest is calculated yearly.
How much interest was earned?
Drag and drop the answer into the box.
(Words Go with picture)
Answer:
3,840
Step-by-step explanation:
hope this helped:)
A dripping faucet wastes a cup of water if it drips for three minutes. The amount of water wasted varies directly with the amount of time the faucet drips. What is the constant of variation?
A. 1/3
B. 2
C. 1/2
D. 3
Answer:
A. 1/3
Step-by-step explanation:
Suppose x represents the amount of the water ( in cups ) wasted in t minutes,
∵ The amount of water wasted varies directly with the amount of time the faucet drips,
⇒ x ∝ t
⇒ x = kt
Where,
k = constant of variation,
If x = 1, t = 3,
[tex]\implies 1 = k(3)\implies k = \frac{1}{3}[/tex]
Hence, the constant of variation is [tex]\frac{1}{3}[/tex]
OPTION A is correct.
If -4(x-3)+5x=24, then x= what?
(01.02 MC)Betty had $70. She bought a necklace for $9 and a ring for $7. Which expression correctly shows the total money Betty has left?
A $70 − (−$9) + (−$7)
B $70 + (−$9) + (−$7)
C $70 − (−$9) − (−$7)
D $70 + (−$9) − (−$7)
answer choices
A
B
C
D
The expression correctly shows the total money Betty has left is $70 + (−$9) + (−$7). The correct option is B.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Betty had $70. she bought a necklace for $9 and a ring for $7. The expression for the amount left will be written below,
The amount of the necklace and ring will be deducted from the initial amount,
E = $70 + (−$9) + (−$7)
To know more about an expression follow
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A plank measures 4 and 3/4 feet. Elizabeth cuts off 2/5 of the plank. How long is the plank now?
To find the length of the plank after cutting off 2/5, convert the original length to an improper fraction, calculate the length of the cut portion as a fraction, and subtract it from the original length.
Explanation:To determine the length of the plank after Elizabeth cuts off 2/5 of it, we can subtract the length of the cut portion from the original length of the plank.
First, we need to convert 4 and 3/4 feet to an improper fraction. This is equal to 19/4 feet.
Next, we can find 2/5 of 19/4 by multiplying it: (2/5) * (19/4) = 38/20 = 19/10 feet.
To find the length of the plank now, we subtract 19/10 feet from 19/4 feet: 19/4 - 19/10 = 95/20 - 19/20 = 76/20 = 3 and 16/20 feet.
Therefore, the plank is now 3 and 4/5 feet long.
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The perimeter of a rectangle is 24 inches. Find the dimensions if it’s length is 3 inches greater than its width
Mr. O’Brian is paid $7.30 per hour for 40 hours he works in a week. He is paid 1.5 times that rate for each hour after that
Gina bought six containers of yogurt for four dollars how many containers of yogurt could you to buy for $12
Grandma Jean is preparing the turkey for Thanksgiving dinner.The turkey weighs 12 lbs and there will be a total of 18 people at sinner.If each person eats the same amount of turkey,how much turkey will each person get
Mr. Robredo is building a fence around a rectangular region with 36 feet of fencing. The area of the rectangular region is 65 square feet. What are the length and the width of the rectangular region? Enter your answers in the boxes.
What type of triangle has the sides 3 16 and 17?
You have two fractions, 2/5 and 3/10, and you want to rewrite them so that they have the same denominator (and whole number numerators). What number(s) could you use for the denominator?
Choose the 2 answers that apply:
A. 15
B.5
C.20
D.10
HELP PLS I WILL GIVE BRAINLIEST AND TWENTY POINTS PLS HELP
Write and solve an equation to answer the question How many people must attend the third show so that the average attendance per show is 30007 Theater Attendance, first show is 2580,second show is 2920.
To achieve an average attendance of 30007 over three shows with the first two shows having audiences of 2580 and 2920 respectively, 84421 people must attend the third show.
Explanation:The subject here is Mathematics and we will be solving for the average attendance required for three shows to have an average of 30007 attendees per show.
Let's denote the number of people that need to attend the third show by 'x'. According to the problem, the average attendance of the three shows should be 30007, hence:
(2580 + 2920 + x) / 3 = 30007
This simplifies to 5500 + x = 90021
Subtracting 5500 from both sides, we get:
x = 90021 - 5500
Therefore, a total of 84421 people need to attend the third show for the average attendance across all three shows to be 30007.
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How do I start the second part of this problem?
Use a five-step plan to solve the following word problem. Show all five steps in your response:
Doug is twice Anne's age. Doug is 34 years old. How old is Anne?
How do you solve this?
Ninety-eight camp participants are to be divided into 7 groups. Brittany uses the five-step problem-solving plan. After completing the Solve step, how many participants should she find will be in each group?
Two weeks ago, Star bought 3 cans of tennis balls. Last week, she bought 4 cans of tennis balls. This week, she brought 2 cans of tennis balls. The tennis balls cost d dollars per can. Write an expression in simplest form that represents the total amount that star spent.
For this case we have to:
d: Represents the cost in dollars for each can of tennis
Then we have according to the data that:
[tex]3d + 4d + 2d[/tex]
The above expression represents the total cost of the tennis cans that Star bought.
We simplify, adding the similar terms of the expression:
[tex]9d[/tex]
ANswer:
[tex]9d[/tex]
The function f(t) = 5*cos ((pi/4)*t) + 11 represents the tide in Dark Sea. It has a maximum of 16 feet when time (t) is 0 and a minimum of 6 feet. The sea repeats this cycle every 8 hours. After six hours, how high is the tide?
A. 11 feet
B. 6 feet
C. 8.5 feet
D. 10.5 feet
After six hours, the tide is 11 feet high.
What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."For given question,
We have been given a function [tex]f(t)=5\times cos((\frac{\pi}{4} )t)+11[/tex]
which represents the tide in Dark Sea and t represents the time in hours.
We need to find the height of the tide after 6 hours.
For t = 6, we need to find the value of function f(t)
[tex]\Rightarrow f(6)=5\times cos((\frac{\pi}{4} )6)+11\\\\\Rightarrow f(6)=5\times cos((\frac{3\pi}{2} ))+11\\\\\Rightarrow f(6)=0+11\\\\\Rightarrow f(6)=11[/tex]
Therefore, after six hours, the tide is 11 feet high.
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What's the sum & classification of 3/10 and square root of 10?
3.31227766,irrational
3.31227766,rational
18.16227766,irrational
18.16227766,rational
Answer:
3.46227766; irrational
Step-by-step explanation:
The sum of 3/10 and √10 can be written mathematically as:
3/10 + √10
Taking the LCM which is 10
3/10 + √10 = 0.3 + 3.16227766
= 3.46227766
Since we cannot express the resulting value as a ratio of two integers, therefore the value is classified as an irrational number.
Tamara sold 92 cold drinks during her 2-hour shift at a festival food stand.if she sold the same number of drinks each hour, how many cold drinks did she sell each hour?