It will take 15 days to manufacture 28000 bottles.
We have a factory makes 12 bottles every 2 minutes and makes bottles for 8 hours each work day.
We have to determine the number of days it will take to make 28000 bottles.
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to question, we have -
Number of bottles manufactured in 2 minutes = 12.
In 8 hours = 8 x 60 = 480 minutes = 2 x 240 minutes.
Number of bottles manufactured in 1 day = 8 x 240 = 1920 bottles.
Number of days needed to make 28000 bottles = 14.58 = 15 days.
Hence, it will take 15 days to manufacture 28000 bottles.
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Write a^-6 using a positive exponent
A recycling bin in the The shape of a rectangular prism has a volume of 9720 cubic inches. The base area is 324 square inches, what is the height of the recycling bin?
Find the unknown. 1,025 = ( × 9) + 17
A snail has traveled 1.15 miles in 5days. There are 2,280 feet in a mile and 12 inches in a foot. How many inches did the snail travel
The snail traveled 31,464 inches.
Explanation:To convert the distance traveled by the snail from miles to inches, we need to convert miles to feet and then feet to inches. We know that there are 2,280 feet in a mile. So, the snail travels 1.15 miles x 2,280 feet/mile = 2,622 feet. Next, we know that there are 12 inches in a foot. So, the snail travels 2,622 feet x 12 inches/foot = 31,464 inches.
Somebody please help me! I'm desperate
Two rectangles have the same width. One is 12 units long and the other is 8 units long. The area of the first rectangle is 320 square units more than the area of the second rectangle. Find the width of each rectangle.
if angle 7 has a measure of 153° in the given diagram, what is the measure of angle 6
Which is equivalent to 4 square root 9^1/2x? Choices are: A) 9^2x B) 9^1/8x C) square root 9^x D) 6 square root 9^x
Answer: The correct option is B.
Explanation:
The given expression is,
[tex]\sqrt[4]{9^{\frac{1}{2}}}x[/tex]
Use the property of radical expression [tex]\sqrt[n]{x} =x^{\frac{1}{n} }[/tex].
[tex]\sqrt[4]{9^{\frac{1}{2}}}x=(9^{\frac{1}{2})^{\frac{1}{4}}}x[/tex]
Use the property, [tex](x^m)^n=x^{mn}[/tex]
[tex]\sqrt[4]{9^{\frac{1}{2}}}x=9^{\frac{1}{2\times 4}x[/tex]
[tex]\sqrt[4]{9^{\frac{1}{2}}}x=9^{\frac{1}{8}x[/tex]
Therefore, the correct option is B.
X and Y are parallel.
If the measure of is 150 degrees, find the measure of this angle.
M∠ 2
Given that angles X and Y are parallel, and that angle X measures 150 degrees, angle Y would also measure 150 degrees, as corresponding angles are equal in measure when lines are parallel.
Explanation:The subject in the question is Mathematics. Specifically it involves the topic of geometry, and concepts of parallel lines and angles. Given angles X and Y are parallel and the measure of angle X is 150 degrees, the measure of angle Y, by properties of parallel lines, would also be 150 degrees, as corresponding angles are equal.
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Cost of 9 candies at $1.11 each?
Which are equivalent expressions to 4x+8 (select all that apply)
find the nth term of the sequence
is Jeremy Camp says horse 12 gallons of water each day how many 1 quart pails of water is that
Really, really easy!
I know I should have figured it out, but:
Pictures from a company cost 650mb each, and songs cost 2200mb each. 16 files are downloaded in a single day, and the total mb from files downloaded adds up to 18150 mb, how many of each product was installed? Write two possible equations using p for pictures and s for songs.
This problem is a system of linear equations. The first equation represents the total number of files (pictures and songs) downloaded: p + s = 16. The second equation represents the total size of the downloads in terms of pictures and songs: 650p + 2200s = 18150.
Explanation:This problem is an example of a system of linear equations. In this scenario, we have two types of files - pictures, represented by 'p', and songs, represented by 's'. The cost in megabytes for each is also provided. We can take these details and construct two equations:
Equation 1: The total numbers of pictures and songs downloaded: p + s = 16.
Equation 2: The total size of the downloads: 650p + 2200s = 18150.
You can solve these equations by substitution or elimination method to find the actual numbers of pictures and songs that were downloaded.
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A wooden toy kit has different painted solids. One solid is a cylinder with diameter 2cm and height 2cm. what is it's volume
for your customer survey project you have successfully interviewed 90% of the customers per month this month you had 500 customers you have interviewed 430 customer so far have you met your goal
Given: KLMN is a trapezoid, KF =10 MF ║ LK AKLMF = AFMN Find: KN
The question mixes physical and geometric concepts without a clear relationship or sufficient details to calculate the length of KN in the trapezoid KLMN, making it difficult to provide a step-by-step solution.
Explanation:The question appears to involve various mathematical and physical concepts, most notably relating to trapezoid geometry and principles of force and motion. However, the specific information provided does not directly lead to a clear method for finding the value of KN in a trapezoid given the other conditions mentioned. It mixes principles from physics, particularly force equations, with geometric properties of trapezoids without presenting a typical geometry problem's clear setup or goal.
Normally, to solve for the length of a side in a trapezoid like KN, one would use properties of trapezoids (e.g., parallel sides, angle properties, or potentially the Pythagorean theorem if right angles are involved). However, the information given mixes unrelated physical equations (such as the force equation F = ma and friction models) with geometric figures without presenting a coherent relation between them.
Without additional specific geometric information or a clearer connection between these physical principles and the geometry of trapezoid KLMN, providing a step-by-step solution for finding KN is not feasible. It is advisable to request more specific details or clarification on how these concepts are supposed to interact within the context of the problem.
Which of the following situations involve opposite quantities combine to make 0?
a. Eva has a new piggy bank. She adds 7 quarters on Wednesday and then adds another 5 quarters on Friday.
b. David made lemonade. He had 2 1⁄2 liters of water and used 5/2 liters for lemonade.
Final answer:
Option b is the situation where opposite quantities combine to make zero. David used 2 1/2 liters of water (which is equivalent to 5/2 liters) to make lemonade, resulting in no water left, indicating the quantities have combined to make zero.
Explanation:
The question asks which scenario involves opposite quantities that combine to make zero. Let's examine the given options:
a. Eva adding quarters to her piggy bank on different days does not involve opposite quantities, as both actions are additive and result in an increase in the number of quarters.
b. David having 2 1⁄2 liters of water and using 5/2 liters for lemonade represents a scenario where opposite quantities combine to make 0. It's because 2 1⁄2 is a mixed number equivalent to 5/2, so when 5/2 liters of water are used, the quantities are opposite (one positive and the other negative) and they cancel each other out, leaving 0 liters.
The correct answer to which scenario involves opposite quantities that combine to make zero is b. David made lemonade using all of the water he had, ending with none left.
Option b, where David uses 5/2 liters of water for lemonade from an initial 2 1/2 liters, demonstrates opposite quantities combining to make 0. These quantities are the same, and when subtracted from each other, result in zero.
Explanation:The question asks which of the given situations involve opposite quantities that combine to make 0. Option b represents such a situation. David had 2 1⁄2 liters of water, and then he used exactly 5/2 liters for lemonade, which are opposite quantities when considering addition and subtraction, since 5/2 liters is the equivalent of 2 1/2 liters.
To further explain, when David uses the 5/2 liters of water for lemonade, this amount is subtracted from the initial 2 1⁄2 liters, leading to a remainder of 0 liters. This is an example of performing an operation with opposite quantities where the result is zero.
Please help me with this question.
Which ordered pair is a solution of the equation? 3x-y=133x−y=13
What is the slope of a line parallel to the line whose equation is 3x - 4y = 8?
A. -4/3
B. -3/4
C. 3/4
D. 4/3
The slope of a line parallel to the line with the equation 3x - 4y = 8 is 3/4, which is option C.
To find the slope of a line parallel to the given line, first, we need to write the equation of the given line in slope-intercept form, which is y = mx + b, where m is the slope, and b is the y-intercept. Starting with the equation 3x - 4y = 8, we rearrange it to solve for y:
3x - 4y = 8
-4y = -3x + 8
y = (3/4)x - 2
The slope of the original line is therefore 3/4. Lines that are parallel to each other have the same slope. Therefore, the slope of a line parallel to the given line is also 3/4, which is option C.
4 mi= ft and 5 mi=. yd help me
Geometry help plz I don’t get it
What is the probability that a point chosen at random in the given figure will be inside the smaller triangle? Enter your answer, as a fraction in simplest form, in the box. P(inside smaller triangle) = $\text{Basic}$ $x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$$x\frac{ }{ }$$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$ A triangle with a base of 2 centimeters and a height of 2 centimeters is within a larger triangle with a base of 6 centimeters and a height of 5 centimeters. The sides of the inner triangle do not touch the sides of the outer triangle.
Answer:
51/100
Step-by-step explanation:
Heart 1 is translated 3 units down to heart 2. Which shows this transformation?
images go to
1 2 3 4
ANSWER ASAP PLEASE I BEG! ILL FAIL! IF NOOOOOT!
Answer:
Image IV
Step-by-step explanation:
We are given that
Heart 1 is translated 3 units down to heart 2.
We have to find the image which shows this transformation.
The translation rule when a figure is shift 3 units down is given by
[tex](x,y)\rightarrow (x,y-3)[/tex]
The coordinates of a point lie on heart are (-2.5,3)
After translation 3 units, the coordinates of corresponding point which lie on the heart
[tex](-2.5,3)\rightarrow (-2.5,0)[/tex]
Therefore,the heart shift from II quadrant to III quadrant.
Image I is not true because the heart 1 shift to heart 2 in quadrant III not in IV quadrant.
In image II ,the corresponding point of the point (-2.5,3) is (-2.5,-3).
Image II is not true because the corresponding point is (-2.5 ,0) not (-2.5,-3).
Image III is not true because heart 2 should be in quadrant III not in quadrant I after translation 3 units down of heart 1.
Image IV is true because the corresponding point of the point (-2,5,3) is (-2.5,0) and heart 2 lies in quadrant III.
Convert 976 cups to gallons.
Answer:
just did test, answer is 61 gallons
Step-by-step explanation:
Write an inequality comparing 19 and 30
In the last basketball game, the panthers scored 63 points. This was seven times the number of points that Reilly scored. Write and solve an equation to find the number of points Reilly scored
And how much did the rest of the team score
If Mitchel ate 45 hot dogs in 3 minutes at the annual hot dog eating contest. What is Mitch unit rate?
The unit rate is calculated by dividing the total quantity by the given time unit. For Mitch who ate 45 hot dogs in 3 minutes, his unit rate was 15 hot dogs per minute.
Unit rate is the ratio of a quantity to one, such as miles per hour or cost per item. To find Mitch's unit rate of hot dogs eaten per minute, we divide the total number of hot dogs by the time taken. In this case, Mitch ate 45 hot dogs in 3 minutes, so his unit rate is 45 hot dogs / 3 minutes = 15 hot dogs per minute.
what is the length of xz
The sound intensity of a normal conversation is 10^6 times greater than the quietest noise a person can hear. The sound intensity of a jet at takeoff is 10^14 times greater than the quietest noise a person can hear. How many times more intense is the sound of a jet at takeoff than the sound of a normal conversation? Write your answer as a power.
PLEASE HELP FAST!!!
The sound of a jet at takeoff is [tex]10^{8}[/tex] times more intense than the sound of a normal conversation.
The sound intensity of a jet at takeoff is [tex]10^{8}[/tex]times more intense than the sound of a normal conversation.
To calculate this, you need to find the difference in intensity between the jet at takeoff and a normal conversation, which is [tex]10^{14}[/tex] – [tex]10^{6}[/tex] = [tex]10^{8}[/tex]
Therefore, the sound of a jet at takeoff is [tex]10^{8}[/tex] times more intense than the sound of a normal conversation.