5 people are evenly sharing 12 kilograms of apples how many kilograms of apples should each person get
Answers
Answer:
2.4 kilograms
Step-by-step explanation:
Given: 5 people are evenly sharing 12 kilograms of apples
To find: quantity of apples that each person should get
Solution:
Use the unitary method to get the required answer.
Under unitary method, if the value of multiple items is given to us, divide the total value by the number of items to obtain the value of one item.
Quantity of apples for 5 people = 12 kilograms
Quantity of apples for 1 person = \(\frac{12}{5} =2.4\) kilograms
So, each person should get 2.4 kilograms of apples.
Answer:
12/5 or 2 2/5
Step-by-step explanation:
We need to divide the 12 kilograms of apples by the 5 people sharing them, or 125
12 ÷ 5 = 12/5
12/5 = 5/5 + 5/5 + 2/5
= 1 + 1 + 2/5
= 2 2/5
Each person should get 12/5, or 2 2/5, kilograms of apple
Related Questions
Enter values to write the function that matches the graph shown.
Answers
Answer:
The roots of this function are at -4 and -1.
f(x) = (2x + 8)(-2x - 2)
= (2x + 8)(-2x + (-2))
For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.
Answers
You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.
When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.
A cuboid has six faces, but each face has a pair that is identical in size and shape.
Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.
To find the surface area of a cuboid, you can add up the areas of all its faces.
However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:
(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.
By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.
Essentially, you are considering one face from each pair and then summing their areas.
Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.
When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.
Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.
Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.
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Story Problem
Joseph's lunch at a restaurant costs $13.00, without tax. He leaves the
waiter a tip of 15% of the cost of the lunch, without tax. What is the total cost
of the lunch, including the tip, without tax?
Answers
for a particular diamond mine ,80% of all the diamonds fail to qualify as gemstones grade. a random sample of 113 diamonds is analysed. find the standard deviation
Answers
Answer:
what is the question??
Drag each statement to show whether it is true, based on
the graph
Answers
Answer:
see attached
Step-by-step explanation:
The independent variable is the one displayed on the horizontal axis: pounds. The dependent variable is the one shown on the vertical axis: cost.
Then the ordered pair shown represents ...
(pound, cost) = (0.65, 2.20)
That is, the cost of 0.65 pounds is $2.20. The cost per pound is found by dividing cost by pounds:
price per pound = $2.20/0.65 lb
__
There is no information shown regarding the weight or cost of a bag of almonds.
The categorization is shown in the attachment.
Use the figure to find the measures.
Lateral area =
Total area =
Volume =
Answers
Answer:
Lateral area = 2.pi.r.h = 2 x pi x 2 x 3 = 12 pi
Total area = lateral area + pi. r^2 . 2 = 20 pi
Volume = pi . r^2 . 2 . h = 24 pi
total area= 62.83
volume= 37.7
the corollary to the polygon angle-sum theorem finds the measure of each interior angle of a regular n-gon. *write a formula to find the measure of each interior angle using n
Answers
The Corollary to the polygon is explained below and the formula to find the measure of each interior angle is " (n - 2)×180°/n " .
The Corollary to the polygon Angle Sum Theorem states that : the sum of the interior angles of a regular n gon is written as :
that means , ⇒ Sum of interior angles = (n - 2) × 180° ...equation(1)
In a regular "n-gon" , all the interior angles are said to be congruent.
Let "x" be measure of each interior angle of a regular n-gon.
So , we can write ;
⇒ Sum of interior angles = (n)×(x) ;
Equating the above expressions with equation(1),
⇒ (n)×(x) = (n - 2) × 180° ;
On Solving for x,
⇒ x = (n - 2)×180°/n ;
Therefore, the measure of each interior angle of a regular "n-gon" is x = (n - 2)×180°/n .
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In a certain year, 86% of all Caucasians in the U.S., 77% of all African-Americans, 77% of all Hispanics, and 84% of residents not classified into one of these groups used the Internet for e-mail. At that time, the U.S. population was 64% Caucasian, 11% African-American, and 10% Hispanic. What percentage of U.S. residents who used the Internet for e-mail were Hispanic
Answers
Answer:
Percentage of U.S resident who used the Internet for e-mail were Hispanic=9.19%
Step-by-step explanation:
We are given that
Population was Caucasian=64%
Population was African-American=11%
Population was Hispanic=10%
Let the population of U.S=10000
Now,
Population was Caucasian=\(\frac{64}{100}\times10000=6400\)
Population was African-American=\(\frac{11}{100}\times 10000=1100\)
Population was Hispanic=\(\frac{10}{100}\times 10000=1000\)
Population of others=10000-(6400+1100+1000)=1500
Population of Caucasians used the Internet for e-mail=86% of 6400
Population of Caucasians used the Internet for e-mail=\(\frac{86}{100}\times 6400\)
Population of Caucasians used the Internet for e-mail=5504
Population of African-American used the Internet for e-mail=77% of 1100
Population of African-American used the Internet for e-mail=\(\frac{77}{100}\times 1100=847\)
Population of Hispanics used the Internet for e-mail=77% of 1000
Population of Hispanics used the Internet for e-mail=\(\frac{77}{100}\times 1000=770\)
Population of others used the Internet for e-mail=84% of 1500
Population of others used the Internet for e-mail=\(\frac{84}{100}\times 1500=1260\)
Total population used the Internet for e-mail=5504+847+770+1260
Total population used the Internet for e-mail=8381
Percentage of U.S resident who used the Internet for e-mail were Hispanic
=\(\frac{Population \;of \;Hispanics \;used \;the \;Internet \;for \;e-mail}{total\;population\; used \;the \;Internet \;for\; e-mail}\times 100\)
Percentage of U.S resident who used the Internet for e-mail were Hispanic=\(\frac{770}{8381}\times 100\)
Percentage of U.S resident who used the Internet for e-mail were Hispanic=9.19%
Estimate the range of 1,294 × 48 use a hyphen (-) to separate the two numbers
Answers
Answer:
54000-65000
Step-by-step explanation:
round the numbers first down to 1200 and 45, and multiply, then round up for the larger, like 1300 and 50 to get your answer.
Select True or False for each statement.
A right triangle always has obtuse exterior angles at two vertices.
Answers
Answer:
true
Step-by-step explanation:
it is true ........
Explanation:
A right triangle has exactly one angle that is 90 degrees. This is called a right angle.
The other two angles are acute, which means they are less than 90 degrees. An example would be 30 degrees and 60 degrees.
If 30 degrees is an interior acute angle, then 180-30 = 150 degrees is the exterior obtuse angle. Similarly, the adjacent angle to the 60 is 180-60 = 120 degrees.
This example shows we have two obtuse exterior angles. This applies to any right triangle, and not just this particular one.
£8001 is shared equally between 9 people. How much does each person get?
Answers
A box is with a square base and open top is to be constructed and a total volume of 720 cubic inches is required. The cost of material for the base is 8 dollars per square inch and the cost of material for the sides is 6 dollars per square inch. Express the total cost of the box as a function of the length of the base.
Answers
Answer:
total cost = 8x^2 +17280/x
Step-by-step explanation:
Let x represent the base length. Then the area of the base is x^2, and the height is h = 720/x^2.
The area of the four sides is ...
(4x)(h) = (4x)(720/x^2) = 2880/x
The cost of the base is ...
base cost = 8x^2
And the cost of the sides is ...
side cost = 6(2880)/x = 17280/x
The total cost of the box is ...
total cost = base cost + side cost
total cost = 8x^2 +17280/x
_____
Comment on the cost function
You will find this function has a minimum at x=∛1080 ≈ 10.260 in. The total cost is about $2526.35, and the box is 2/3 times as tall as wide. That aspect ratio makes any pair of opposite sides cost the same as the base, the generic solution to a cost optimization problem of this sort.
Chloe performs two transformations on trapezoid ARCD Io prove that it is congruent to trapezoid EFGH. Move phrases to the table to show two transformations that Chloe could perform reflection across a vertical line reflection across a diagonal line clockwise rotation of 90 degrees reflection across a honzontal line clockwise rotation of ISO degrees
Answers
Answer:
Clockwise rotation of 90 degrees and reflection across a vertical line. (as shown in picture)
Step-by-step explanation:
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day! :)
PLEASE SHOW YOUR WORK ON HOW TO SOLVE THIS PROBLEM!! BEST ANSWER ILL GET MARKED BRAINIEST!
4x+5/x+7
Answers
Answer:
x = 2.4
Step-by-step explanation:
4x + 5 / x + 7
combine like terms
X + 4x = 5x
5 + 7= 12
12/ 5x
Divide
12 /5= 2.4
X= 2.4
Which of the following are consistent with the
guidelines for hitching trailers?
Trailers must be connected to the tow vehicle before loading.
Loads cannot exceed the maximum payload of 1,750 pounds.
Loads cannot exceed the maximum payload of 3,000 pounds.
Customer vehicles must have at least a frame mounted Class 3 receiver hitch
with a 2" or 2 5/6" ball.
Answers
The statement that are consistent with the guidelines for hitching trailers are:
A. Trailers must be connected to the tow vehicle before loading.
D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.
Guidelines for hitching trailers?Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.
Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.
Therefore the correct option is A and D.
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What is the standard form of this expression? (1+7i)(3-i)
Answers
The standard form of this expression is equal to 10 + 20i.
What are complex numbers?Complex numbers are those numbers that contain the imaginary and the real part.
Complex value z is written in a rectangular form as; z = x+iy where (x, y) is the rectangular coordinates.
r is the modulus of the complex number and θ is the argument
r =√x²+y² and θ = tan⁻¹y/x
We are given that the expression as (1+7i)(3-i)
Solving it;
(1+7i)(3-i)
3 - i + 21i - 7i^2
3 - i + 21i + 7
10 + 20i
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Carlos needs an average of 90% or greater on his quiz scores to earn an A in science class for the quarter. Each quiz is worth 20 points. The scores of his first four quizzes are shown in the table. There is one more quiz this quarter. Quiz Score 1 2 3 4 18 at least 19 17 20 What is the mininum score Carlos can earn on the final quiz to earn at least a 90% average? points
Answers
Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.
We have,
Let's start by finding the total number of points that Carlos can earn in the class:
Total points
= 5 quizzes x 20 points per quiz
= 100 points
If Carlos needs an average of 90% or greater, that means he needs to earn at least 90 points out of 100.
Total points earned.
= 18 + 19 + 17 + 20
= 74 points
To find the minimum score Carlos needs on the final quiz, we can set up an inequality:
(74 + x) / 5 ≥ 0.9
where x is the score on the final quiz.
Simplifying this inequality.
74 + x ≥ 90
x ≥ 16
Therefore,
Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.
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solve pls brainliest
Answers
Answer:
18
Step-by-step explanation:
Cross multiply, 3 x 24 = 72. 72 divided by 4 is 18. Therefore, the answer is 18.
what is the value of (f-g)(2)
Answers
Answer:
Step-by-step explanation:
We need to find the value (f-g)(2), so we need first to substitute 2 into the given functions f(x) and g(x) and then subtract the result of g(2) from f(2).
Here, f(x) = 3x^2 + 1 and g(x) = 1 - x,
So, We will substitute 2 into these functions:
f(2) = 3(2)^2 + 1 = 3(4) + 1 = 12 + 1 = 13
g(2) = 1 - 2 = -1
Now, we can subtract g(2) from f(2):
(f-g)(2) = f(2) - g(2) = 13 - (-1) = 13 + 1 = 14
Hence, the required value of (f-g)(2) is 14.
Answer:
The correct answer is 3. To solve for g(-2), we substitute -2 for x in the equation g(x) = 2x + 5. This gives us g(-2) = 2(-2) + 5, which simplifies to -4 + 5 = 1. Next, we substitute the value of g(-2) into the equation for f(g(x)) = 4 - x^2. Thus, f(g(-2)) = 4 - (1)^2, which equals 4 - 1 = 3.
In a large city school system with 20 elementary schools, the school board is considering the adoption of a new policy that would require elementary students to pass a test in order to be promoted to the next grade. The PTA wants to find out whether parents agree with this plan.
a. If they put a big ad in the newspaper asking people to log their opinions on the PTA Web site what kind of bias might they encounter.
1. response bias due to desire to give acceptable answers
2. nonresponse bias
3. bias due to the use of a voluntary response sample
4. bias due to a poor sampling frame resulting in undercoverage
5. no bias
b. If they randomly select one of the elementary schools and contact every parent by phone, what kind of bias is there?
1. bias due to the use of a voluntary response sample
2. response bias due to desire to give acceptable answers
3. undercoverage bias due to a poor sampling frame
4. no bias
5. nonresponse bias
c. Suppose they randomly select 20 parents from each elementary school. Send them a survey, and follow up with a phone call if they do not return the survey within a week. What kind of sampling was done?
1. stratified sampling
2. convenience sample
3. simple random sampling
4. voluntary response sample
Answers
I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answers
b. 10^27
c. 10^18
d. 10^6
e. 10^6
f. 10^35
multiply the exponents.
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
During a sale, a customer bought 5 shirts and 4 hats and spent $160.00. Another customer bought
3 shirts and 2 hats and spent $90.00. What are the prices of one shirt and one hat?
Answers
Answer:
Step-by-step explanation:
Shirts = x Hats = y
5x + 4y=160 (1)
3x + 2y=90 (2)
Multiply (2) with 2 and you have 6x+4y=180 (3)
Then subtract (1) from (3) and you have 6x-5x +4y -4y = 20
=> x = 20 $ a shirt
Go back to (2) to find y
3*20 +2y = 90 => 2y = 30 => y = 15$ a hat
The number of bacteria in a culture is increasing according to the law of exponential growth. The initial population is 240 bacteria, and the population after 12 hours is double the population after 1 hour. How many bacteria will there be after 3 hours
Answers
Answer:
240
Step-by-step explanation:
According to law of exponential growth,
\(y=y_0e^{kt}\)
Here, \(y_0\) denotes the initial amount and k is the rate constant of the equation.
Now, the initial population is 240 bacteria.
Put \(y_0=240\)
So,
\(y=240e^{kt}\)
The population after 12 hours is double the population after 1 hour.
\(y(12)=2y(1)\)
\(240e^{12k}=240e^{k} \\e^{12k}=e^{k} \\e^{12k-k}=1\\e^{11k}=1\\11k=log 1=0\\k=0\)
(Formulae used: \(\frac{e^x}{e^y}=e^{x-y}\,,\,log 1=0\))
So,
\(y=240e^{0}=240\\y=240\)
Therefore,
Number of bacteria after 3 hours = 240
y=mx+b
?????????????
Answers
Answer:
??
Step-by-step explanation:
thats the slope equation, m is your slope, x is your variable, and b is your y interger or whatever's (0,y)
4/3 x 1/64 =??? answer in a fraction
Answers
Answer:
1/48
And I hope you can get it right or a 100%
Answer:1/48
Step-by-step explanation:
4/3 x 1/64 =4/192=1/48
Find the unit rate: 48 slices from 3 cakes = Slices per cake
Answers
Answer:
Step-by-step explanation:
Slices made from 3 cakes = 48
Slices made from 1 cake = 48 ÷ 3 = 16
16 slices are made from 1 cake.
Hi!
First, we must divide 48 by 3, because that will give us the number of slices per cake.
The unit rate is a rate for one of something, therefore we must find the # of slices per one piece of cake.
48 / 3 = 16
Therefore, there are 16 slices per cake, or 16/1.
what a subcategory of a polygon
Answers
Three or more line segments that only intersect at their ends form closed, two-dimensional shapes known as polygons.
What is a polygon?A polygon is a closed, two-dimensional shape with straight sides that is flat or plane. It has straight sides. Polygons are a different category that belongs to the category of two-dimensional figures because two-dimensional (2D) figures are flat because they lack volume.
Polygons are flat 2D shapes that have straight lines and all lines are closed, meaning that they don't have any disconnected lines. Polygons are a subcategory of 2D figures because they carry all traits of 2D figures but also have special ones of their own. Examples of polygons are squares, rectangles, and triangles. Examples of nonpolygons but still are 2D figures are circles, ovals, and any other flat shape.
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Complete question
How can polygons be considered a subcategory of two-dimensional figures?
is absolute value of -998
Answers
Answer:
998.
Step-by-step explanation:
Just get rid of the negative sign
Answer:
This should 998 I guess
Step-by-step explanation:
Minus the negative signs
Plzzz help me please I need the answers like right now so I’m counting on u guys to help me please who ever is correct get the Brainly thing
Answers
Sorry but you are cheating yourself but cheating in exams
I know but I will not say you real understand by yourself cheating is big than dying
the 2nd answer: 30÷1/60÷1=30/60
help with the question please
