Carolyn is using the table to find 360% of 15. What values do X and Y represent in her table? Percent Total 100% 100% 100% 20% 20% 20% 360% X X X Y Y Y X = 2. 5; Y = 2. 5 X = 5; Y = 0. 75 X = 15; Y = 3 X = 15; Y = 5.

Answers

Answer 1

Carolyn is using the table to find 360% of 15. The values X and Y represent in her table can be determined as follows:PercentTotal100%100%100%20%20%20%360%XXYYYTo find 360% of 15, it's best to start by dividing 360 by 100 to convert the percentage to a decimal.

:360/100 = 3.6Then multiply the decimal by 15:3.6 × 15 = 54Therefore, 360% of 15 is equal to 54. Now we can use the table to figure out what values X and Y represent in this context.The total of all the percentages in the table is 220%. This means that each X value is equal to 15/2 = 7.5.To figure out the Y values,

we can start by subtracting 100% + 20% from the total:220% - 120% = 100%This means that each Y value is equal to 54/3 = 18. Therefore:X = 7.5; Y = 18The correct option is:X = 7.5; Y = 18

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Related Questions

Is a pentagon convex?

Answers

A planar polygon is convex if it contains all of the line segments connecting any two of its points. Thus, a regular pentagon is convex (left picture), but an indented pentagon is not (right figure).

What is pentagon?

A pentagon is any five-sided polygon or 5-gon in geometry. A basic pentagon's interior angles add up to 540°. A pentagon might be straightforward or self-intersecting. A pentagram is a self-intersecting regular pentagon. A pentagon is a five-sided polygon with five angles. The term "pentagon" is made up of two terms, Penta and Gonia, both of which signify five angles. All of the sides of a pentagon meet end to end to form a shape.

Here,

If a planar polygon has all of the line segments connecting any two of its points, it is convex. A normal pentagon, for example, is convex (left picture), but an indented pentagon is not (right figure).

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Can you state whether or not they are similar?
Explain why!
Thank you.

Answers

No do to the size difference in the overall math if you multiply base times height you should get a answer that can go in to both but you get two numbers that can’t go in to each other

what terms are in 3x-2+4y-7+x

Answers

Answer: 3x, -2, 4y, -7, and x

Hope this helps :)

Step-by-step explanation:

Terms are all of the variables and/or numbers in an equation.

3x, -2, 4y, -7, and x.

Karen was trying to factor 6x^2+106x
2
+106, x, squared, plus, 10. She found that the greatest common factor of these terms was 222 and made an area model

Answers

3x^{2}+5 is the area of rectangle .

What is a rectangle, exactly?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral.

                 The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

The height of the first rectangle is 2 and the area is 6x^{2}. To get to 6x^{2} you have to multiply by 3x^2.

Similarly, to find the width of the other rectangle you multiply 5 by 2 to get to 10.

The answer is 3x^{2}+5

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At what point will the lines x = 2y - 28 and
x = -6y + 36 intersect?

Answers

At point (-12,8)

I used the desmos graphing caluculator and this is what I got.

Hope this helps!!

How many roots does fundamental theorem of algebra?

Answers

The Fundamental Theorem of Algebra asserts that this 2 n d degree polynomial must have precisely two roots.

What is algebra?

According to the Fundamental Theorem of Algebra, this 2 n d degree polynomial must have precisely two roots. Algebra is the branch of mathematics that aids in the representation of problems or situations using mathematical expressions. In algebra, we utilize integers with definite or fixed values such as 2, 7, 0.068, and so on. In algebra, we employ variables such as x, y, and z in addition to integers. Elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra are all sub-branches of algebra. In algebra, an algebraic expression is composed of integer constants, variables, and the basic arithmetic operations of addition(+), subtraction(-), multiplication(), and division(/). 5x + 6 is an example of an algebraic expression.

Here,

According to the Fundamental Theorem of Algebra, this 2 n d degree polynomial must have precisely two roots.

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What is the role of the base and exponent in an exponential expression?

Answers

In an exponential expression, a base is a number that is raised to a certain power, represented by the exponent. The base can be any real number, while the exponent must be a positive integer.

Some key points to remember about the base and exponent in an exponential expression are:

The base represents the number being multiplied by itself a certain number of times.The exponent represents the number of times the base is multiplied by itself.The value of the exponential expression is the product of the base raised to the power of the exponent.The exponent can be positive or negative, and a base of 1 or 0 will always result in 1 or 0 respectively.The base can be any real number, but the exponent must be a positive integer.

For example, in the expression "2^3" (read as "2 raised to the power of 3"), the base is 2 and the exponent is 3. This means that 2 is being multiplied by itself 3 times (222 = 8). So the expression evaluates to 8.

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How do I copy a table formula in Word?

Answers

Therefore , the solution of the given problem of table comes out to be

the steps for using table name in formula are listed below.

About the table.

A statistically list is a collection of numbers that shows the outcomes of an analysis with numerous inputs. Data is arranged in columns and rows and consists of both descriptions and numbers. The table and also the patter of 10 are easy to recall. The numbers are in the following order: 7, 14, 21, 28,35, 42, 49, 56, 63, and 70. A method for illustrating the connections between different data pieces is value mapping. In any science subject, the values table might be helpful.

Here,

To relocate a formula, choose a cell that it is in.

(Or, click Ctrl + X.) Click Home > Cut. Select Transfer (or ctrl + V)

after choosing the cell in which you desire the formula to appear.

Therefore , the solution of the given problem of table comes out to be

the steps for using table name in formula are listed above.

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Can an exponential function be 1?

Answers

An exponential function can be equal to 1, but it would have to be a special case.

To determine this:

An exponential function has the form f(x) = ab^x, where a and b are constants. For the function to be equal to 1, the output value of the function must be 1 for all values of x. Therefore, we must have:

[tex]ab^x = 1[/tex]

In order for this equation to be true for all values of x, a and b must be chosen such that:

ab = 1

This means that a and b must be reciprocals of each other. For example, if a = 2, then b = 1/2. In this case, the function [tex]f(x) = 2(1/2)^x[/tex] would be equal to 1 for all values of x.

Another example would be if a = 1 and b = 1. In this case, the function [tex]f(x) = 1(1)^x[/tex] would be equal to 1 for all values of x.

It's important to note that while an exponential function can be equal to 1, it would only be in cases where a and b are reciprocals of each other and not with any other values.

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A right triangle has a leg length of square root of 11 and a hypotenuse length of 9. Determine the length of the other leg of the right triangle.

Answers

The length of the other leg of the right triangle is √70. The result is obtained by using the concept of the Pythagoras theorem.

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the squares of the other length sides. It can be expressed as

a² + b² = c²

Where

a = baseb = altitudec = hypotenuse (the longest side)

Base altitude is also called as legs of the right triangle.

A right triangle has a leg length of √11 and hypotenuse of 9. Find the length of the other leg!

Let's say

a = √11c = 9

The length of other leg is b, the shorter side of hypotenuse.

By using the Pythagoras theorem, we get b.

a² + b² = c²

(√11)² + b² = 9²

11 + b² = 81

b² = 81 - 11

b² = 70

b = √70

Hence, the length of the other leg of the right triangle is √70.

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Given the circle below with tangent PQ and secant SRQ. If RQ = 7 and
SQ= 40, find the length of PQ. Round to the nearest tenth if necessary.

Answers

The required length of the tangent PQ is given as 16.73 units.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Here,

PQ² = QS·RS
PQ = √[7 × 40]
PQ = 16.73

Thus, the required length of the tangent PQ is given as 16.73 units.

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Choose the expression that best represents the phrase below.
...the number of fish divided evenly among 5 aquariums...
OA. 5-f
B. 5 f
C. f-5
D. 5f
E. f 5
OF. 5+ f

Answers

The expression that best represents the phrase below.

"the number of fish divided evenly among 5 aquariums" is

E. f ÷ 5

How to find the expression that suit the phrase

The expression that suits the phrase is derived by understanding the meaning of the phrase

The phrase "the number of fish divided evenly among 5 aquariums" means dividing fishes equally among 5 aquariums.

Let the number of fishes be f using the division operation, the division operator ensures that the division is even for the aquariums. hence  we have

= the number of fishes ÷ divided by the number of aquarium

= f ÷ 5

hence option E is the correct one

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Shota invests \$2000$2000dollar sign, 2000 in a certificate of deposit that earns 2\%2%2, percent in interest each year.

Answers

At the end of the first year, Shota will have earned amount  \$400.00$400.00dollar sign, 400.00 in interest.

Shota invested $2000 in a certificate of deposit that earns 2% interest each year. This means that for every $100 invested, Shota will earn $2 in interest. Therefore, for the $2000 invested, Shota will earn $40 in interest each year ($2 x 2000 = $4000, and then divide by 100 to get $40).

At the end of the first year, Shota will have earned $400.00 in interest ($40 x 10 = $400).

Shota invested $2000 in a certificate of deposit that earns 2% interest each year. After the first year, Shota will have earned $400.00 in interest.

At the end of the first year, Shota will have earned amount \$400.00$400.00dollar sign, 400.00 in interest.

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Why are the three types of solutions in systems of equations?

Answers

The 3 different types of solutions in a system of equations are a unique solution, no solution and many solutions.

There are 3 types of systems of linear equations which are as follows:

Dependent: The system has infinitely many solutions. The graphs of these equations represent the same lines.

Example:[tex]\left \{ {{-6x + 4y = 2} \atop {3x - 2y = -1 }} \right.[/tex]

The system has infinitely many solutions.

Independent: The system has exactly one solution. The graphs of these equations intersect at a single point.

Example:[tex]\left \{ {{x - 3y = 7} \atop {3x - 3y = 15}} \right.[/tex]

The unique solution to the system is (4, -1)

Inconsistent: The system has no solution. The graphs of no-solution equations are parallel lines.

Example:[tex]\left \{ {{x + 2y = 9} \atop {2x + 4y = 7}} \right.[/tex]

The system has no solution.

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In a bundle of 30 fruits, 6 are apples and the
rest are oranges. What percent of the
bundle is composed of apples?

Answers

When the bundle contains 20% apples, A bundle of 30 fruits contains 6 apples and the remaining 20 are oranges.

what is percentage ?

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.

given

In a bundle  fruits of 30,apples are apples

percentage of apple = 6/30 *100

= 20 %

When the bundle contains 20% apples, A bundle of 30 fruits contains 6 apples and the remaining 20 are oranges.

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How many linear equations are satisfied by X 2y =- 3?

Answers

Answer:

Infinity  solutions

Step-by-step explanation there are many solutions

On the first grid, create a graph of x=2+5t for -2 ≤ t ≤ 7 with x on the vertical axis and t on the horizontal axis.

Answers

Graph of x=2+5t for -2 ≤ t ≤ 7 is attached below.

What is graph?

A graph is a kind of a chart where data are plotted as variables across the coordinate.

Given equation,

x=2+5t for -2 ≤ t ≤ 7

x on the vertical axis and t on the horizontal axis.

the graph of above equation is straight line.

Hence, following graph represents x=2+5t for -2 ≤ t ≤ 7.

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Write “Heidi had a bag containing b candies, she split the bag of candy into six equal piles.” In expression

Answers

Answer:

B/6

Step-by-step explanation:

is this what you mean

B= ammount of candie

1/6= the piles she divided

so

[tex]\frac{b}{6}[/tex]

How do you find the coordinates of a triangle with midpoints?

Answers

To find the coordinates of a triangle with midpoints, you must first calculate the midpoints of each side by averaging the coordinates of the two endpoints.

To find the coordinates of a triangle with midpoints, you first need to calculate the midpoints of each side of the triangle. To do this, take the two endpoints of the side and average their coordinates. For example, if the two endpoints are (x1, y1) and (x2, y2), then the midpoint would be ((x1+x2)/2, (y1+y2)/2). Once you have all the midpoints, you can use the midpoint formula to calculate the coordinates of the triangle. The midpoint formula states that the coordinates of the triangle can be found by taking the average of the midpoints of the three sides.

To find the coordinates of a triangle with midpoints, you must first calculate the midpoints of each side by averaging the coordinates of the two endpoints. Then use the midpoint formula to take the average of the three midpoints to find the triangle's coordinates

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10/n = 2/1.7 what is n

Answers

Answer:

n = 8.5

Step-by-step explanation:

[tex]\frac{10}{n}[/tex] = [tex]\frac{2}{1.7}[/tex] ( cross- multiply )

2n = 10 × 1.7 = 17 ( divide both sides by 2 )

n = 8.5

You have an ant farm with 27 ants. The population of ants in your farm will double every 3 months. The table shows the population growth of the ants over nine months. Decide whether the table represents a linear function or a nonlinear function. After one​ year, how many ants will there be in the ant​ farm?

Answers

Answer:

this is my best awnser

Step-by-step explanation:

It represents a linear function and there will be 216 ants after 1 year

A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 5 grams and the amount of gold in each necklace is 16 grams. The jeweler used 130 grams of gold and made 5 more bracelets than necklaces. Write a system of equations that could be used to determine the number of bracelets made and the number of necklaces made. Define the variables that you use to write the system.

Answers

The equations used to determine the number of bracelets and necklaces made are x + y = 13 and 8x + 24y = 168, respectively.

What is variables?

A variable in Algebra is an alphabet used to represent an unknown number. It denotes the value. A variable is a quantity that can be altered in response to a mathematical problem. Many algebraic expressions and equations use the generic letters x, y, and z. A variable is, in other words, a symbol for a number whose value is unknown.

Given:

Each bracelet contains 8 grammes of gold, and each necklace contains 24 grammes of gold. Using 168 grammes of gold, the jeweller created 13 bracelets and necklaces.

According to the question,

Let x denote the number of bracelets and y the number of necklaces made by the jeweller.

The jeweller made a total of 13 bracelets, This means that

⇒ x + y = 13

It is assumed that each bracelet contains 8 grammes of gold and each necklace contains 24 grammes of gold. Using 168 grammes of gold, the jeweller created 13 bracelets and necklaces. That is to say,

⇒ 8x + 24y = 168

Thus, The equations used to determine the number of bracelets and necklaces made are x + y = 13 and 8x + 24y = 168, respectively.

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The height of an equilateral triangle is 27 in. Find the perimeter of the triangle.

Answers

Answer:

a = 27

perimeter = 3a

= 3 * 27

= 81

Find the exact volume of the solid. Note that the figure is a half-sphere removed from the cylinder. 25mm 15mm

Answers

The exact volume of the solid is 963 2/3π cubic cm

How to determine the exact volume of the solid.

From the question, we have the following parameters that can be used in our computation:

Shapes = Half-sphere and cylinder

A half-sphere is called a hemisphere, and the volume is calculated as

V₁ = (2/3)πr³

From the given figure (see attachment), we have

r = 14 cm/2

r = 7 cm

Substitute the known values in the above equation, so, we have the following representation

V₁ = (2/3)π * 7³

V₁ = 686/3π

Next, we have the volume of the cylinder to be

V₂ = πr²h

Where

r = 14 cm/2

r = 7 cm

And

h = 22 - 14/2 = 15

So, we have

V₂ = πr²h

Substitute the known values in the above equation, so, we have the following representation

V₂ = π * 7² * 15

V₂ = 735π

The volume of the solid is then calculated as

V = V₁ + V₂

So, we have

V = 686/3π + 735π

Evaluate the sum

V =  963 2/3π

Hence, the volume is 963 2/3π cubic cm

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3. On a map of the northeast United States, the map scale says that 1 centimeters = 5
miles. The distance shown on the map between New York City and Buffalo is 58 cm.
What is the actual distance between the two cities?

Answers

Answer:

290 Miles

Step-by-step explanation:

Take your 58cm, as we were told 1cm equals 5 miles.
We can time 58 by 5 which gives you 290 Miles.

A line passes through the points (3, 75) and (4, 100).
What is the slope of the line?
You can use the formula to help.
➡) slope
=
11
3/29/1
X2X1
-
?
100 y
90
80
70
60
50
40
30
20
10
(4, 100)
(3, 75).
0
0 1 2 3 4 5
x
6 7 8 9 10

Answers

If the equation [tex]ax^2+2hxy+by^2+2gx+2fy+c=0[/tex]  describes a pair of straight lines, then the equations m1+m2=-2h/b and m1m2=a/b, where m1 and m2 are the slopes of the straight lines, apply.

Simple line equation: what is it?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis.

How can I determine a line's slope?

Determine the coordinates of two points along the line that you choose.

Find the difference between these two points' y-coordinates (rise).

Find the difference between these two points' x-coordinates (run).

Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.

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What is the solution to this system of linear equations XY 6 and Y x =- 10?

Answers

The solution to this system of linear equations y - x = 6 and y + x = -10 is (-8, -2).

y - x = 6

⇒y = x + 6

y + x = -10

⇒y = - x - 10

Since both equations are equal to y, equate them.

x + 6 = - x - 10

x + x = - 10 - 6

2x = - 16

Divide both sides by 2

x = -8

Put the value of x in either of the equations

y - x = 6

y - (-8) = 6

y + 8 = 6

y = 6 - 8

y = - 2

Therefore, the solution to the system of linear equations is (-8, -2).

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Solve the system of equations using substitution. y = −2x 1 4x 2y = −1 (0, −3) (−3, 0) no solution infinitely many solutions

Answers

The equations with no solution system.

What are equations ?

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It shows that the expressions printed on the left and right sides have an equal relationship.

In any mathematical equation, we have LHS = RHS (left hand side = right hand side).

Equations can be solved to find the value of an unknown variable that represents an unknown quantity.

An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.

Hence, The equations with no solution system.

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One has six small chains of four links each she wants to make him until one long chain of 24 links cutting a link cost $1.25 in welding then cost $3.50 with the least cost of making the chain

Answers

The least cost of making the chain would be = $114

What is welding?

Welding is defined as the process that can be used to join some hard materials such as chains which can be used for making of pieces of jewelry.

John's chain contain the following = 6 small chains

The number of links for each chain = 4 links

This means that for the totals chain there are 6× 4 = 24 links which is also the total number of links he wants to make.

The cost of 1 link = $1.25

The cost of welding = $3.50

The least amount of money that can be used can be calculated below as;

= (1.25 + 3.50)× 24

= ($4.75) × 24

= $114

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A garden store recently sold several types of seed packets.
zucchini 40
pumpkin 21
cucumber 16
Considering this data, how many of the next 99 seed packets sold should you expect to be pumpkin seed packets?

Answers

According to the information, it can be inferred that of the next 99 packets of seeds sold, 27 will be pumpkin seeds.

How to calculate how many packages of pumpkin will be sold?

To calculate how many packages of pumpkin will be sold in the next 99 sales we must carry out the following procedure: A rule of three.

77 = 2199 = x= 27

According to the above, if of 77 packages we sold 21 of pumpkin, we can infer that 27 will be the packages of pumpkin seeds that we will sell in the next 99 sales.

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