The area of the base is 216 cm².
The volume of a cuboid is 1296 cm³.
The breadth of the cuboid is double the height of the cuboid and the length of the cuboid is triple the height of the cuboid.
Let the length, breadth, and height of the cuboid be l, b, and h respectively.
Then,
l = 3(h)
b = 2(h)
The volume of a cuboid is given as:
V = l × b × h
1296 = 3(h) × 2(h) × h
1296 = 6 × h³
h³ = 1296 / 6
h³ = 216
h = ∛216
h = ∛(6)³
h = 6 cm
Therefore, the length of the b is l = 3(h) = 3 × 6 = 18 cm
The breadth of the cuboid will be:
b = 2(h)
b = 2 × 6
b = 18 cm
Now the volume of the cuboid is also given as:
Volume = base area of cuboid × height
1296 = base area × 6
base area = 216 cm²
The base area is 216 cm².
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Write an equation for a line parallel to y=4x+5 and passing through the point (4,13)
a hospital day staff consists of 25 registered nurses, 75 unlicensed assistants, five phlebologists, six receptionists and office staff, and 45 physicians. one summer day the staff was at only 68% strength. how many people were working that day? (enter numeric value only. if rounding is necessary, round to the nearest whole number.
The number of people working on that day are 107 people in the staff.
According to the statement
We have to find that the number of people were working that day.
So, For this purpose, we know that the
A percentage is a number or ratio expressed as a fraction of 100.
From the given information:
a hospital day staff consists of 25 registered nurses, 75 unlicensed assistants, five phlebologists, six receptionists and office staff, and 45 physicians. one summer day the staff was at only 68% strength.
Then
Total number of staff = 25+75+5+6+45
Total number of staff = 156
Then
the staff was at strength = 68%
And then
Number of people working on that day = 68% of 156
And
Number of people working on that day = 68/100 *156
Number of people working on that day = 0.68*156
Number of people working on that day = 106.08
Approximate 107 people.
So, The number of people working on that day are 107 people in the staff.
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Find the mean and the median of the distribution of corrected long jump distance have?
The corrected mean and median, respectively, are 557.3 and 557.
The total number of athletes is 40.The already calculated mean is 577.3.The sum of the distances of all the athletes is the product of the number of the athletes and the mean distance.The sum of distances is 40*577.3.The sum of distances is 23,092.The correction in each jump is a reduction of 20.The total correction is the product of the number of athletes and the correction.The total correction is 40*20.The total correction is 800.The corrected mean is the ratio of the corrected sum of the distances and the number of athletes.The corrected mean is (23,092-800)/40.The corrected mean is 557.3.The already calculated median is 577.The median will shift by the same amount as the correction.The corrected median is 577–20.The corrected median is 557.To learn more about median, visit :
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The constants a, c and d are positive. Solve the inequality for x.
d-cx>a
The solution to the give inequality is x < d-a/c
Solving inequalitiesAn inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given the inequality expression
d - cx < a
Make x the subject of formula to have:
-cx < a - d
Divide both sides by -c
-cx <(a-d)/-c
x < -(a-d)/c
x < d-a/c
Hence the solution to the give inequality is x < d-a/c
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ian and his brother are driving from city a to city b. the two cities are 294 miles apart. ian drives 49 miles per hour. how long does it take them to make the trip?
Answer: 6 hours
Step-by-step explanation: The distance is 294 miles. The speed is 49 miles per hour. In that case, we divide 294 by 49, which gives us 6.
Follow the steps of this magic number puzzle for two
starting numbers of your choice. One of your
numbers should be negative. Then write the steps for
any number, n, in column 3.
Directions
Write down a number.
Add 10.
Multiply by 2.
Subtract 2.
Divide by 2.
Results
How is the ending number related to the starting
number?
The ending number is nine more than the starting number.
The steps of the magic number puzzle are given.Let us consider the general number "n".The starting number is "n".The first step is to add 10 to the number.The number becomes "n+10".The next step is to multiply it by 2.The number becomes "2n+20".The next step is to subtract 2 from it.The number becomes "2n+18".The final step is to divide it by 2.The number finally becomes "n+9".The ending number is "n+9".Thus, the ending number is 9 more than the starting number.To learn more about numbers, visit :
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16-2x=4(1/4 x-2)
i need it in 4 steps and what you are doing in each step.
Answer:
x = 8
Step-by-step explanation:
Solve for x:
-2 x + 16 = 4 (x/4 - 2)
Put each term in x/4 - 2 over the common denominator 4: x/4 - 2 = x/4 - 8/4:
-2 x + 16 = 4 (x/4 - 8/4)
x/4 - 8/4 = (x - 8)/4:
-2 x + 16 = 4 ((x - 8)/4)
(4 (x - 8))/4 = 4/4×(x - 8) = x - 8:
-2 x + 16 = x - 8
Subtract x from both sides:
(-2 x - x) + 16 = (x - x) - 8
-2 x - x = -3 x:
-3 x + 16 = (x - x) - 8
x - x = 0:
-3 x + 16 = -8
Subtract 16 from both sides:
(16 - 16) - 3 x = -16 - 8
16 - 16 = 0:
-3 x = -16 - 8
-16 - 8 = -24:
-3 x = -24
Divide both sides of -3 x = -24 by -3:
(-3 x)/(-3) = (-24)/(-3)
(-3)/(-3) = 1:
x = (-24)/(-3)
The gcd of -24 and -3 is -3, so (-24)/(-3) = (-3×8)/(-3×1) = (-3)/(-3)×8 = 8:
Answer: x = 8
for this question choose as many answers as are correct. if the earth reversed its direction of spin
For the given condition- If the earth reversed its direction of spin. Then,
The Sun will indeed rise in the west & set in the east, The stars would revolve clockwise around Polaris.The Moon will indeed rise westward and set eastward.What is spinning of Earth?The Earth is constantly in motion. Every day, the Earth completes one full rotation around its axis. The axis is an imaginary line that runs through the earth from the North Pole to the South Pole.
Some key features regarding the Earth's rotation are-
The sun appears to move across the sky as the Earth rotates, but it is actually the Earth that's also spinning. One rotation takes 24 hours hours to complete, which explains why there are 24 hours in a day.In the other words, if a sun is visible in the morning beginning around 6:00 AM, the Earth will have rotated completely approximately by the next morning at 6:00 AM, and you will see the sun in roughly the same location.To know more about rotation of earth, here
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The complete question is -
If you are standing at the Earth's North Pole.
For this question choose as many answers as are correct. if the earth reversed its direction of spin
write the expression that can be used to find the slope find the slope of the line, if it is defined
We can the slope of the line using:
m = (y 2 - y 1)/ (x 2 - x 1) where, m is the slope of the line.
What is a Slope?A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula. A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes.
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Theoretically, If the spinner is spun 400 times, how many times would you expect to get blue?
Based on the experiment, if the spinner is spun 400 time, how many times would you expect to get blue.
The number of times that blue will be expected will be 100 times.
What will be the probability of getting a blue?It should be noted that from the information given, the spinner is divided into four equal sections labeled yellow, green, red, and blue.
It simply means that each color has a 1/4 chance for each scenario.
Therefore, the number of times that blue will be expected will be:
= 1/4 × 400
= 100 times
Therefore, the number of times that blue will be expected will be 100 times.
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A spinner is divided into four equal sections labeled yellow, green, red, and blue. If the spinner is spun 400 times, how many times would you expect to get blue?
a test worth 100 points has 14 questions. short-answer questions are worth 5 points and essay questions are worth 15 points. how many short-answer questions are on the test? how many essay questioons are on the test?
There are 11 questions worth 5 points and 3 questions worth 15 points.
What is the equation?An equation is a mathematical statement composed of two expressions joined by an equal sign. An equation is 3x - 5 = 16. By solving this equation, we obtain the value of the variable x as x = 7.To find the correct number of questions:
Let, 5-point questions are x and 15 marks questions are y.
So, x + y = 14. ...(1)The total points are 100 so the other equation will be:
5x + 15y = 100 ...(2)Now, multiply equation (1) by 5 and then subtract it by equation (2) as follows:
Therefore, there are 11 questions worth 5 points and 3 questions worth 15 points.
5 (x + y = 14) ⇒ 5x + 5y = 70Now,
5x + 5y - 70 - 5x - 15y + 10010y = 30y = 3So, questions worth 15 marks are 3 then, and questions worth 5 marks will be 14 - 3 that is 11.
Therefore, there are 11 questions worth 5 points and 3 questions worth 15 points.
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What is the difference between the area of the square and the area of the circle?
The difference between the area of the square and the area of the circle is C. 9x²(4 - π).
How to calculate the area?The area of the square will be:
= Side ×Side
= 6x × 6x
= 36x²
The area of the circle will be:
= πr²
= 3.14 × (3x)²
= π × 9x²
= 9πx²
The difference will be:
= 36x² - 9πx²
= 9x²(4 - π)
Therefore, the correct option is C.
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The difference between the area of the square and the area of the circle is 9x²(4 - π)
How to find the difference of the area of circle and a square?area of circle = πr²
where
r = radiusTherefore,
area of a square = l²
where
l = side lengthThe circle is inscribed in the square.
Therefore, the difference in area of the square and circle is as follows:
area of circle = π × (3x)² = 9x²π
area of the square = (6x)² = 36x²
Hence,
difference in area = 36x² - 9x²π
difference in area = 9x²(4 - π)
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Members of a softball team raised $2045.50 to go to a tournament. They rented a bus
for $1041.50 and budgeted $62.75 per player for meals. Which equation or tape
diagram could be used to represent the context if p represents the number of players
the team can bring to the tournament?
The equation used to represent the context is 1041.50 + 62.75p = 2045.50.
How to compute the equation?From the information, they rented a bus for $1041.50 and budgeted $62.75 per player for meals.
Therefore, the equation will be:
1041.50 + (62.75 × p) = 2045.50
1041.50 + 62.75p = 2045.50
Therefore, the equation will be 1041.50 + 62.75p = 2045.50.
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ruben made a scale drawing of a petting zoo. the scale of the drawing was 1 millimeter : 10 meters. if the actual length of the goat pen is 20 meters, how long is the pen in the drawing?
The length of the pen in the drawing will be 2 millimeters.
As we can't create a real-life dimension in a small sheet of paper, we opted for a small scale that covers up the large length.As we are given, the scale of the drawing is 1 millimeter: 10 meters, which is 1 millimeter for every 10 meters
As we have been given that the actual size of the goat pen is 20 meters, so the length of the pen in the drawing is = 20*(1/10)
= 2 millimeters
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'
CAN SOMEONE HELP PLEASE IM CONSTANTLY GETTING IGNORED.
Answer:
7GB, $12
Step-by-step explanation:
I used subtraction to find the difference.
|2b – 3y| + 5z if b = −3, y = −4, and z = −1
you buy tealight candles and mints as party favors for a babyshower.e tealight candles come in packs of 12 for $3.50. e mints come in packs of 50 for $6.25. whatis the least amount of money you can spend to buy the same number of candles and mints?
The least amount of money you can spend to buy the same number of candles and mints is $125.
The prime factorization of 12 and 15 is:
12= 2*2*3
15= 2*5*5
Now the factor of both appears in both number's factorization so least common multiple is:
LCM of 12 and 15 = 2*2*3*5*5=300
It is given that candies come in packs of 12 and mints in packs of 50.
Hence, the total quantity of packs of each thing is:
Candles: 300÷12=25
Mints: 300÷50=6
The least amount of money to be spent is:
25×$3.50 + 6×$6.25= $87.5 + $37.5= $125
Thus, the least amount of money you can spend to buy the same number of candles and mints is $125.
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Answer:125
Step-by-step explanation: no explanations sorry but it is right thank me later
FIRST PERSON TO ANSWER WILL GET BRAINLEST
What will be the location of the y value of R' after using the translation rule (x + 4, y - 7), if the pre-image R is located at ( -17, -3)
Using translation concepts, the y-coordinate of R' will be of -10.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the rule is given by:
(x,y) -> (x + 4, y - 7)
y -> y - 7 means that for the image, the 7 is subtracted from the y-coordinate of the pre-image. The y-coordinate of R is of -3, -3 -7 = -10, hence the y-coordinate of R' will be of -10.
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4 to the 7th power times 8 to the 7th power?
Answer:
3.435973837*10^10
Step-by-step explanation:
4 to the 7th power is 16384
and 8 to the 7th power is 2097152
multiplied by each other is 3.435973837*10 to the 10th power
if you have to round to the nearest 10th the answer is 3.44
find the value of 5x - 2y + 3z when x = 7 , y = 11 , z = -1?
The value of 5x - 2y + 3z when x = 7 , y = 11 , z = -1 is 10.
Expression
An expression, in math, is a sentence with a minimum of two numbers and at least one math operation in it.
Given that:-
Expression : 5x -2y + 3z
x = 7, y = 11 , z = -1
We have to find the value of 5x - 2y + 3z
According to the data given in the question, we can write,
The value of the expression 5x - 2y + 3z is:-
5*(7) -2*(11) + 3*(-1) = 35 -22 - 3 = 35 - 25 = 10.
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PLSSSSSS ANSWERRRRRRRRRRR
Gary, the school chef, needs to make 40 tacos for every 15 students. How many tacos would Gary need to prepare for 3 students?
Answer: 8 tacos
Step-by-step explanation: To turn 15 into 3 students you would divide 15 by 5. You would also have to divide 40 by 5 too so that would be 8 tacos.
24 ÷ (−6) =
−15 ÷ 0.3 =
−4 ÷ (−20) =
pls hlp :< i feel rly nauseous
Answer:
1st Question 24 ÷ (-6) = -4
2nd Question -15 ÷ 0.3 = -50
3rd Question -4 ÷ (-20) = 0.2
This should be correct. I used a calculator Lol. :3.
The perimeter of a square is four times as great as the length of any of the sides determine if the perimeter of a square is proportional to the sides of its length explain
The perimeter of a square is proportional to the sides of its length
How to determine if the perimeter of a square is proportional to the sides of its length?The statement is given as
The perimeter of a square is four times as great as the length of any of the sides
The above statement can be represented as
P = 4L
Where P represents the perimeter and L represents the side length
A proportional equation is represented as
y = kx
Where k a constant
By comparing y = kx and P = 4L, we have
y = P, k = 4 and x = L
Hence, the perimeter of a square is proportional to the sides of its length
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Elisa withdrew $20 at a time from her bank account and withdrew a total of $140. Francis withdrew $45 at a time from his bank account and withdrew a total of $270. Who made the greater number of withdrawals? ( This is Dividing Integers 2.2 so the numbers might go in the negatives)
Answer: Elisa made the greater number of withdrawals
Step-by-step explanation:
140/20=7
270/45=6
The profit Mrs. Kelly makes from making and selling x pairs of earrings is represented by
10−(2+23)
10x − (2x + 23). Which expression is equivalent?
Group of answer choices
8 - 23
8x− 23
−15 − 15
x 31 31
8+23
Answer:
8x-23
Step-by-step explanation:
10x-2x=8x, and since the 23 was in the parenthesis that was being subtracted, then the 23 gets subtracted.
Sophia borrowed $11,020 at 4% simple interest for 10 months. How much will the interest amount
to? What is the total amount that she will have to pay back at the end of 10 months? Round
answers to the nearest cent if necessary.
The total amount that she will have to pay back at the end of 10 months is $11,385.864.
We have Sophia .who borrowed $11,020.
We have to determine the total amount that she will have to pay back at the end of 10 months.
What is the formula to calculate the Simple Interest ?The Simple interest can be calculated using the formula -
S.I. = (P x R x T)
where -
P = Principle amount
R = Rate of interest
T = time in years
According to the question -
P = $11020
R = 4%
T = 10 months = 0.83 years
Therefore -
Interest = (P x R x T) = (11020 x 0.04 x 0.83) = $365.864
Now -
Interest = Total amount - Principle
Total Amount = Interest + Principle = 11020 + 365.864 = $11,385.864
Hence, the total amount that she will have to pay back at the end of 10 months is $11,385.864.
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3 2/5 + -7 1/5.
Please hurry I am desperate!
Answer:
-3.4 or -17/5
Step-by-step explanation:
3 and 2/5= 17/5 or 3.4
-7 and 1/5 = -34/5 or -6.8
Fill in the table using this function rule.
y=2x-2
X
3
5
6
10
y
0
0
10
0
Using the function rule y=2x -2 the values in the given table are as follow:
x y
0 -2
1 0
2 2
3 4
4 6
As given,
Given function:
y=2x - 2
Substitute the value of x in the given function y=2x - 2
x=0
⇒y=2(0) -2
=-2
x=1
⇒y=2(1) -2
=0
x=2
⇒y=2(2) -2
=2
x=3
⇒y=2(3) -2
=4
x=4
⇒y=2(4)-2
=6
Therefore, using the function rule y=2x -2 the values in the given table are as follow:
x y
0 -2
1 0
2 2
3 4
4 6
The complete question is :
Fill in the table using this function rule.
y=2x-2
x y
0
1
2
3
4
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Jack purchased 3 yards of material to make a coat. He used
5
-
8 yard. How many yards of material does Jack have left?
Jack has left with the 19/8 yards fraction part of material.
What is Yards?In mathematics, yard is the unit of length. we can say that yard is the one of the measurement of length. Conversion of yard in various quantities is as below:
In inches :1 yard = 36 inches
In feet :1 yard = 3 feets
In meters :1 yard = 0.914 meters
For the question given,
If we have to find the remaining material that has been left we must find the difference between the two i.e. used and purchased material by simply subtracting them.
So, Material purchased = 3 yards
Material used = 5/8 yards
now, material left = Material purchased - material used
= 3 - 5/8
= 19/8 yards
Thus, Jack has left with the 19/8 yards material.
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