Answers
If the radius is quadrupled, then the area of the new area to the old area will be 4:1
What is quadrupled?You should be aware that the quadrupled of a circle is four times the area of the old one.
In this case the area of the circle is denoted by
Area = πr²
Where r= radius=6 cm
The area of the old circle is 22/7 * 6 * 6
Area of the circle is = 113.1cm²
To this effect, the area of the new circle is 4(area of the old one)
Area = 4*22/7 * 6 * 6
Area = 3167/7
Area is = 452.6
This implies that 4(113.2) =452.6
In conclusion, you will discover that four times the area of the new circle is the old circle
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Related Questions
Kate spent 44 pounds in the holidays.
she spent three times as much on clothes as she did on food.
How much did she spend on food ?
Answers
Answer:
11 pounds
Step-by-step explanation:
The ratio of the amount of money Rachel spent on food to clothes is 1/3
She spent: 44 : (1 + 3) x 1 = 11 pounds
Answer:11
Step-by-step explanation:
11 times 3 equals 33(for the clothing)
so 11 is left
The coordinates of 3 of the vertices of a parallelogram are (-3, 4), (-2, 1), and (2, 6). What is the equation for the
line containing the side opposite the side containing the first two vertices? (Remember, opposite sides of a
parallelogram are parallel.)
Answers
The equation for the side of the line that contains the first two vertices' opposite side is 3x+y=12
Given that,
Three of a parallelogram's vertices have the coordinates (-3, 4), (-2, 1), and (2, 6).
We have to find what is the equation for the side of the line that contains the first two vertices' opposite side.
We know that,
The equation of the line is
y=mx+b
Here, we find m and d
Take the points (-3,4) (-2,1)
m = y₂-y₁ / x₂-x₁
m = 1 - 4 / -2-(-3)
m = -3 / 1
m = -3
Now take point (2,6)
6 = -3(2) + b
6 = -6 + b
6 + 6 = b
12 = b
We get m =-3 and b=12
The equation will be y=-3x+12
3x+y=12
Therefore, the equation for the side of the line that contains the first two vertices' opposite side is 3x+y=12
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One bottle holds 67.34 onces and another bottle holds 48.5 onces combined how much do they hold?
Answers
After combine they hold 115.84 ounces.
What is Addition?A process of combining or adding two or more numbers is called addition.
We have to given that;
One bottle holds 67.34 ounces and another bottle holds 48.5 ounces.
So, After combine, we get;
Both bottle hold = 67.34 ounces + 48.5 ounces
= 115.84 ounces
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a cylinder has a volume of 24 cubic feet, what is the equation on how to find the volume?
Answers
The equation on how to find the volume is πr²h = 24
How to determine the equation on how to find the volume?From the question, we have the following parameters that can be used in our computation:
Volume = 24 cubic feet
The volume of a cylinder can be calculated as
Volume = πr²h
Where
r = radius
h = height
Substitute the known values in the above equation, so, we have the following representation
πr²h = 24
Hence, the equation is πr²h = 24
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3. Birr 6,500 was divided equally among a certain number of persons. Had there been 15 more persons, each would have got Birr 30 less. Find the original number of persons.
Answers
If the population grows by 15 people. The original number of people was 50, hence the new share of each person was Rs. (which is refused).
What is meant by Mathematical equation?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."
Let no. of persons = x
Each person get
= 6500/x
If there 15 persons were added more
= 6500/(x + 15)
(6500/x) - 6500/(x + 15) = 30
[tex]\Rightarrow 6500\left[\frac{(\mathrm{x}+15)-(\mathrm{x})}{\mathrm{x}(\mathrm{x}+15)}\right]=30[/tex]
[tex]\Rightarrow 6500\left[\frac{x+15-x}{x^2+15 x}\right]=30[/tex]
[tex]& \Rightarrow 1625\left[\frac{15}{x^2+15 x}\right]=3 \\[/tex]
Then,
[tex]& \Rightarrow \frac{24375}{x^2+15 x}=3 \\[/tex]
Simplifying the above equation,
[tex]& \Rightarrow 3 x^2+45 x=24375 \\[/tex]
[tex]& \Rightarrow 3 x^2+45 x-24375=0 \\[/tex]
[tex]& \Rightarrow x^2+15 n-3250=0 \\[/tex]
[tex]& \Rightarrow x^2+(65 n-50 n)-3250=0 \\[/tex]
Then we get,
[tex]& \Rightarrow x^2+65 n-50 n-3250=0 \\[/tex]
[tex]& \Rightarrow x+65)-50(x+65)=0[/tex]
[tex]\Rightarrow(\mathrm{x}-50)(\mathrm{x}+64)=0[/tex]
x = 50, x = -65
Since the number of people cannot be zero,
the number of people is 50.
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When it was raining, Elliott drove for 120 miles. When the rain stopped, he drove
20 mph faster than he did while it was raining. He drove for 300 miles after the
rain stopped. If Elliott drove for a total of 10 hours, how fast did he drive while it
was raining?
Answers
Answer:
[tex]\boxed{22}.[/tex]
Step-by-step explanation:
Since Elliott drove for a total of 10 hours, and he drove for 120 miles while it was raining and 300 miles after the rain stopped, we know that he drove for a total of 120 + 300 = <<120+300=420>>420 miles.
If he drove for a total of 10 hours and covered a distance of 420 miles, then his average speed was 420 miles / 10 hours = <<420/10=42>>42 mph.
Since Elliott drove 20 mph faster after the rain stopped than he did while it was raining, then we know that his speed while it was raining was 20 mph slower than his average speed of 42 mph. That means his speed while it was raining was 42 mph - 20 mph = <<42-20=22>>22 mph.
7O POINTS HELP ASAP!!!
Given the graph of this function, determine the statement that best describes the end behavior.
Answers
x->∞,y->∞ and as x-> - ∞ , y-> - ∞ this statement best describes the end behavior.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
First, we need to analyze the plotting of the graph. When it is on the negative axis of x, as the values of x increase (x values increasing in the negative axis means it's decreasing in value), the y values also increase. So as x decreases, y increases.
On the positive axis of x, as the x values increase, the corresponding values of y also increase with x. So as x increases, y values also increase with it.
Hence, x->∞,y->∞ and as x-> - ∞ , y-> - ∞ this statement best describes the end behavior.
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5 parents and 3 children cost £ 13.20
2 parents and 1 child cost £ 5.10
Find the cost of 1 child
Find the cost of 1 parent
Answers
Answer:
The cost of 1 child is £ 3.40 and the cost of 1 parent is £ 4.10. To determine this, we can use the following equation:
Cost of 1 child = (13.20 - 5.10) / (5 parents + 3 children)
Cost of 1 parent = (13.20 - 5.10) / (2 parents + 1 child)
Hope this helps!
Step-by-step explanation:
Ill MARK AS BRAINLIEST(show how you solved the 2 parts :>
Mrs Lim has sponsored a total of 105 hot dogs and 126 cans of fruit juice for the refreshment of a classic picnic. Each student will receive the same amount of refreshment.
a) what is the greatest number of students who will get the refreshment ?
b) how many hot dogs will each student get?
C) how many fruit juices wil each student get
Answers
a) The greatest number of students who will get the refreshment is 210.
b) Each student will get 0.5 hot dogs.
c) Each student will get 0.6 cans of fruit juice.
a) To find the greatest number of students who will get the refreshment , we need to find the least common multiple of hot dogs and fruit juice.
The least common multiple is 210, which is the multiple of 105, and 126 is the least.
So the greatest number of students who will get the refreshment is 210.
b) To find the number of hot dogs each student will receive, we need to divide the total number of hot dogs (105) by the greatest number of students who will get the refreshment (210)
105/210 = 0.5
So each student will get 0.5 hot dogs.
c) To find the number of fruit juices each student will receive, we need to divide the total number of fruit juice (126) by the greatest number of students who will get the refreshment (210)
126/210 = 0.6
So each student will get 0.6 cans of fruit juice.
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Solve the following system of equations graphically on the set of axes below.
y = x + 8
y = -1/2x+5
Plot two lines by clicking the graph. Click a line to delete it.
Answers
By graphing both equations on the same axis and findin where do they intercept, we willsee that the solution is (-2, 6).
How to solve the system of equations?Here we have the following system of equations:
y = x + 8
y = -(1/2)x+5
And we want to solve it graphically.
To solve it in that way, we just need to graph both equations on the same coordinate axis and find the ponit where the graphs intercept, that point will be the solution for the system.
The graph of the system of equations can be seen in the image below:
There, we can see that the lines intercept at the point (-2, 6), so that is the solution of our system.
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A track team has 7 people eligible to run the
800-meter run. A team member can only run
the race once, and 4 people are needed to run
the race. How many different ways can the 4
people be selected, if order doesn't matter?
Answers
In 35 differnt ways (Combination) the 4 players can be selected from a team of 7.
What is permutation and Combination ?Combinations are decisions that are made by choosing some or all of a group of things, regardless of how they are arranged.
Utilizing the combinations formula, it is simple to determine how many distinct groups of r items each may be created from the provided n unique objects. The factorial of n divided by the product of the factorial of r and the factorial of the difference between n and r, respectively, is the formula for combinations.
A permutation is a combination and an ordered arrangement of possible outcomes. For instance, there are 5 chairs, and 3 people should occupy them. There are five different methods to seat the first person, four ways to sit the person after them, and three ways to seat the third. In order to determine the number of configurations for seating 3 people in 5 seats, we thus multiply the alternatives at our disposal.
Permutations are several ways to arrange things in a certain sequence. It may alternatively be stated as the linear reordering of elements in an already ordered collection.
Here we have to select 4 people from a team of 7, so its a combination
So the number of ways are = [tex]\x^{7}C\x_{4} = \frac{7!}{4!\ 3!} = 35[/tex].
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In a middle-school mentoring program, a number of the sixth graders are paired with a ninth-grade student as a buddy. No ninth grader is assigned more than one sixth-grade buddy. If 13 of all the ninth graders are paired with 25 of all the sixth graders, what fraction of the total number of sixth and ninth graders have a buddy
Answers
Answer:
13/25
I hope this is the correct answer.
knowing the difference between an experimental group and a control group is most relevant to understanding the nature of: group of answer choices random sampling. replication. hindsight bias. independent variables.
Answers
The experimental group is given the experimental treatment, and the comparison group is statistically significant.
Which three attitudes are the basis of the scientific viewpoint?Curiosity, scepticism, and humility are described by historians of science as the three attitudes that form the bedrock of the scientific viewpoint. Larger, more representative sample sizes aid in the production of accurate and valid data.When random sampling is used, every member of the population has an equal chance of being chosen, resulting in the collection of a representative sample. The odds of generalising the study's findings to the population increase with the use of a random sample. The study's margin of error is reduced with higher study sample sizes.) Researcher control over the possibility of reporting false-negative or false-positive findings is made possible by larger sample sizes. Results will be more precisely predicted with a larger sample size.To learn more about random sampling refer to :
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What is 10 by the power of 6?
Answers
Answer:1000000
Step-by-step explanation:
What is the smallest positive integer that is both a multiple of $7$ and a multiple of $4$?
Answers
The smallest positive integer that is both a multiple of 7 and a multiple of 4, is 28 .
How to find the smallest positive integer ?To find the smallest positive integer that is both a multiple of 7 and a multiple of 4, first find the multiples of both 4 and 7 to see which multiples are common between them and which are the lowest.
The multiples of 4 and 7 are:
Multiples of 4 :
4, 8, 12, 26, 20, 24, 28, 32, 36, 40,
Multiples of 7 :
7 , 14 , 21 , 28 , 35 , 42 , 49
The smallest positive integer that is both a multiple of 7 and a multiple of 4 is therefore 28.
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Find the surface area and volume for this following pyramid
Answers
We calculated volume of pyramid = 160 cubic inches and surface area = 214.59 square inches.
what is pyramid?
A three-dimensional geometrical figure having flat polygon base along with a number of lateral triangular shaped faces.
How to calculate the volume and surface area of the pyramid?The given pyramid is a rectangular pyramid having length 10 inch and width 8 inch. The height of pyramid is 6 inches.
length, l = 10 inch
width, w = 8 inch
height, h = 6 inch
Now the volume will be, V = 1/3 × l × w ×h
V = 1/3 × 10 × 8× 6
hence, the volume = 160 cubic inches
We calculate the surface area of the given pyramid,
formula for surface area, SA = l × w + 1/2 × w ×√(4h²+l²) + 1/2 × l ×√(4h²+w²)
SA = 10 × 8 + 1/2 × 8 ×√(4×6²+10²) + 1/2 ×10×√(4×16²+8²)
Surface area = 214.593 square inches
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On a assembly line, 2 parts can be made per minute. There are 8 parts already made. To determine how many more minutes (x) it will take to make y total parts, the equation y=2x + 8 is written. What is the description of a solution to this problem?
Answers
The description for the problem involving the linear function is given as follows:
The time it will take to make a total of 20 parts is of 6 minutes.
How to interpret this problem in the context of a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the y-intercept, representing the initial value.In this problem, the function is defined as follows:
y = 2x + 8.
In which the variables are given as follows:
x is the time in minutes.y is the number of pieces made.Hence the time needed to make 20 pieces is given as follows:
20 = 2x + 8
2x = 12
x = 12/2
x = 6 minutes.
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HELP PLEASE 10 POINTS!
pls explain
a. 160 is what percentage of 40?
b. 40 is 160% of what number?
c. What number is 40% of 160?
Answers
Answer:
a) 400% b) 1/4 c) 64
Step-by-step explanation:
Answer:
a. 400%
b. 25
c. 64
Step-by-step explanation:
a. 160 ÷ 40/100
160 × 100 / 40
4 × 100 = 400%
b. 40 ÷ 160%
40 ÷ 160/100
40 × 100/160 = 25
c. 40% × 160
40/100 × 160
4 × 16 = 64
In a rhombus MNLP, diagonals intersect each other at point O. If m∠MNL is 120° and the length of the side is 8 in, find m∠MNO, m∠MON, and NP. A (5pts) Find m∠MNO. Answer
Answers
In a rhombus, all sides are equal and the diagonals intersect each other at a 90 degree angle and bisect each other.
Diagonal of a rhombus bisects the angles of the rhombus at the vertex.
So as m∠MNL is 120°,
∠MNO = ∠LNO = 120/2 = 60°
The diagonals intersect each other at a 90 degree angle, therefore
m∠MON = 90°
Considering ΔMNO, right angled at O.
cos(∠MNO) = NO/ MN
cos(60) = NO/ 8
NO = 0.5×8 = 4
NP = NO + OP
NP = 2NO
NP = 2×4
NP = 8 in
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There are 14 teams in a basketball league.
Each team plays every other team twice
during the season.
a) Suppose that you want to determine
how many games, in total, are played.
Suggest a simpler problem that you
could solve first.
b) How many games, in total, are played
during the season?
Please I need deep explaining.
Answers
Therefore , the solution of the given problem of combination comes out to be there were 182 games played in all.
Definition of combinationCombinations are operations in mathematics that count the number of possible combinations that can be created from a set of items, where the selection's direction is immaterial. You are free to select any arrangement of the parts. Permutations and combinations can be mixed up.
Here,
There still are 14 teams in all, but each team plays the other twice.
Every team plays almost every team twice, hence the total amount of games played is simply the permutations of 2 out of 14, which is determined by:
₁₄P₂
=14!/((14-2)!)
= (14×13×12!)/ 12!
= 14×13
=182
Consequently, there were 182 games played in all.
Therefore , the solution of the given problem of combination comes out to be there were 182 games played in all.
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The daily recommended allowance of vitamin c for a sixth grader is 45 mg. 1 orange has about 75% of the recommended daily allowence of vitimin c. How many milligrams are in 1 orange?
Answers
Proportionately, the quantity of milligrams of vitamin c in 1 orange is 33.75 mg.
What is proportion?Proportion refers to the part of a whole contained in another value.
Proportion is a ratio representation, which is fractional in value.'
We depict proportions using decimals, fractions, or percentages.
The daily recommended allowance of vitamin c for a sixth grader = 45 mg
The content of 1 orange to the daily recommended allowance = 75%
75% of 45 mg = 33.75 mg.
Thus, 1 orange will proportionately contain 33.75 mg, which is 75% of 45 mg.
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Consider the expression.
2x (x + 3y) +5 (2x - 2)
How many terms does the expression have when simplified completely?
Answers
When given expression 2x (x + 3y) +5 (2x - 2) simplified completely then it would have 4 terms.
Consider given expression.
2x (x + 3y) +5 (2x - 2)
We simplify above expression.
2x (x + 3y) +5 (2x - 2)
= [(2x × x) + (2x × 3y)] + [(5 × 2x) - (5 × 2)] ......(distributive property)
= [2x² + (2 × 3)xy] + [(5×2)x - 10] ............(commutative property)
= (2x² + 6xy) + (10x - 10)
= 2x² + 6xy + 10x - 10
= 2x² + 10x + 6xy - 10 ...........(by commutative property of addition)
when given expression simplified completely then it would be,
2x (x + 3y) +5 (2x - 2) = 2x² + 10x + 6xy - 10
The number of terms in an expression 2x² + 10x + 6xy - 10 are 4
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write days in May to days in a year as a ratio.
Answers
Answer:
Step-by-step explanation:
Days in may = 31
Days in a year = 365
therefore, expected ratio = 31/365
What is the simplified form of this expression?
(-3x2 + 2x − 4) + (4x2 + 5x + 9)
7x2 + 7x + 5
x2 + 7x + 5
x2 + 7x + 13
x2 + 11x + 1
Answers
Answer:
x² + 7x + 5
Step-by-step explanation:
(- 3x² + 2x - 4) + (4x² + 5x + 9)
since both parenthesis are being multiplies by 1 , remove parenthesis
= - 3x² + 2x - 4 + 4x² + 5x + 9 ← collect like terms
= (- 3x² + 4x²) + (2x + 5x) + (- 4 + 9)
= x² + 7x + 5
help im no good at this
Answers
Answer:
8.2 × 10⁻³
Step-by-step explanation:
1.64 × 10⁰ 1.64 × 1 1.64
-------------- = -------------- = ---------- = 0.0082
2.0 × 10² 2 × 100 200
Scientific notation: 8.2 × 10⁻³
I hope this helps!
A line that includes the points (k,
–
4) and (5,
–
2) has a slope of
–
1. What is the value of k?
Answers
The required value of k is 7 for a line that includes the points (k,–4) and (5,–2).
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
As per the question, the slope of the line is -1, and the given points are (k, -4) and (5, -2).
So we can substitute these values into the formula:
-1 = (-2 - (-4)) / (5 - k)
-1 = 2 / (5 - k)
-1 × (5 - k) = 2
-5 + k = 2
k = 2 + 5
k = 7
Therefore, the value of k is 7.
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Select the correct answer. how many particles are in one mole?
a. 6.022 × 1023
b. 2.066 × 1023
c. 6.023 × 1022
d. 3.026 × 1022
Answers
6.022× [tex]10^2^3.[/tex]particles are in one mole.
The correct option is 6.022× [tex]10^2^3.[/tex]
Now, According to the question:
Avogadro's number
Avogadro's number, number of units in one mole of any substance (defined as its molecular weight in grams), equal to 6.02214076 × [tex]10^2^3.[/tex] The units may be electrons, atoms, ions, or molecules, depending on the nature of the substance and the character of the reaction.
Now, According to Avogadro's law, one mole of any substance contains a fixed number of particles i.e.,6.022× [tex]10^2^3.[/tex]particles (atoms, molecules or ions) which is also known by the name Avogadro's number.
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Find four consecutive odd integers such taht 4 times the sum of the first and third is 4 larger than 4 times the fourth
Answers
The four consecutive odd integers = 15, 17, 19, 21
What are integers ?Positive, negative, and zero are all examples of integers.
The Latin word "integer" signifies "whole" or "intact."
As a result, fractions and decimals are not included in integers.
All whole numbers and negative numbers are considered integers.
This means that if we combine negative numbers with whole numbers, a collection of integers results.
An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.
Here are a few instances of integers: -5, 0, 1, 5, 8, 97, and 3,043. a collection of numbers, denoted by the symbol Z.
According to our question-
x + x + 6 = -(x + 4) + 55
x + x+6 = (-x - 4) + 55
2x + 6 = -x + 51
Collect like terms
2x + x = 51 - 6
3x = 45
x = 15
Second integer = x + 2 = 15 + 2 = 17
Third integer = x + 4 = 15 + 4 = 19
Fourth integer = x + 6 = 15 + 6 = 21
The four consecutive odd integers = 15, 17, 19, 21
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Solve the following equation by first writing the equation in the form a x squared = c: 3 a squared minus 21 = 27 a. a = 4 b. a = plus-or-minus 4 c. a = plus-or-minus 16 d. a = 16 Please select the best answer from the choices provided A B C D
Answers
The best answer from the choices provided is a = plus-or-minus 16 . Option C
What is a quadratic equation?A quadratic equation can be defined as an equation that can be rearranged in a standard form
Such that;
x represents an unknown value or variableThe variables, a, b, and c represent known numbersThe variable, a ≠ 0These quadratic equation are also described as polynomial equation having its highest degree as 2.
From the information given, we have that;
3a² - 21 = 27
collect like terms
3a² = 27 + 21
Add the values
3a² = 48
Divide both sides by 3
a² = 48/3
a² = 16
Hence, the value is a² = 16
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What is a 9 sided shape called?
Answers
A 9-sided shape is called a nonagon.
Therefore the answer is nonagon.
A nonagon is a polygon with nine sides and nine angles. A nonagon can be regular or irregular, depending on the lengths of its sides and angles. A regular nonagon has equal sides and angles, while an irregular nonagon has sides and angles of different lengths.
Nonagons are two-dimensional shapes, and they can be described by their number of sides, angles, and vertices. They are considered a type of polygon, which is a closed geometric figure that is made up of straight lines. In addition to nonagons, there are other types of polygons such as triangles, quadrilaterals, pentagons, hexagons, heptagons, and so on.
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