X and Z are endpoints of a segment, and point T is on the segment. If XZ = 3x, XT = x + 3, and TZ = 13, then x = and XZ =

Answer:

Natalie is 15 and Fred is 24.

Step-by-step explanation:

Let n = Natalie's age

Let f = Fred's age

n + f = 39

4n + f = 84 ⇒ multiply by -1 ⇒ -4n -f = -84

-4n - f = -84

  n + f = 39

-3n      = -45  Divide both sides by -3

n = 15

Natalie is 15.

Substitute 15 for n to solve for Fred's age:

n + f = 39

15 + f = 39  Subtract 15 from both sides

f = 24

Fred is 24.

The ratio of the cost in dollars of the materials to the sale price in dollars is 0.4:1

The cost of the materials for one porch swing is $100 and the sale price of the swing is $250.

To find the ratio of the cost of the materials to the sale price, we divide the cost of the materials by the sale price as follows -

$100 ÷ $250 = 0.4

So, the ratio of the cost of the materials to the sale price is 0.4:1.

This means that for every $1 in the sale price, $0.4 is spent on materials or we can say that 40 cents of every dollar go towards materials.

Read more about ratio:

brainly.com/question/28437761

#SPJ4

The smallest value that (p(a|b) p(not a|b))/2 might have is 0.

The smallest value that (p(a|b) p(not a|b))/2 might have is 0. If p(a|b) = 0, then (p(a|b) p(not a|b))/2 = 0. This means that if event a does not occur, given that event b has already occurred, then the value of (p(a|b) p(not a|b))/2 will be 0.

On the other hand, if p(not a|b) = 0, then (p(a|b) p(not a|b))/2 = 0, which means that if the event, not a, does not occur given that event b has already occurred, then the value of (p(a|b) p(not a|b))/2 will also be 0. Therefore, the smallest value that (p(a|b) p(not a|b))/2 might have is 0.

To know more about event, here

https://brainly.com/question/29065861

#SPJ4

24x + 5 and 4 are the two variables in the equation.

Mathematical expressions consist of at least two integers or factors, at least each math procedure, and a sentence. It's possible to multiply, divide, add, or remove with this mathematical procedure.

The expression 4(8x + 5) can be simplified using the distributive property of multiplication over addition as follows:

4(8x + 5) = 4×8x + 4×5 = 32x + 20

So the expression 4(8x + 5) has two terms: 32x and 20.

To find the factors of the expression, we can factor out the greatest common factor of 32 and 20, which is 4:

4(8x + 5) = 4×2×4x + 4×5 = 4(2×4x + 5)

So the expression has two factors: 4 and (2×4x + 5).

To know more about Expression visit:

https://brainly.com/question/1859113

#SPJ1

the maximum number of data points that fall below the second quantile is 4.

4 data points.

Quantiles divide a set of data into four equal parts, each with an equal number of data points. In this case, 36 data points are divided into 9 quantiles, meaning each quantile contains 4 data points. Therefore, the maximum number of data points that fall below the second quantile is 4.

Quantiles divide a set of data into equal parts, each with an equal number of data points. The number of quantiles is determined by the total number of data points. For example, if there are 36 data points, then it is divided into 9 quantiles, each with 4 data points. The lower the quantile, the lower the value of the data points it contains. Therefore, the maximum number of data points that fall below the second quantile is 4.

Learn more about maximum here

https://brainly.com/question/29156925

#SPJ4

The value of the expression is 1/(9x)^2

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

(-9x)^-2

We can write the expression without negative exponents by using a fraction with a positive exponent:

(-9x)^-2 = 1/(-9x)^2

And without parentheses, this expression becomes:

1/(9x)^2

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

The equation to represent proportionality relationship is y = 8.5x.

The ratio between two proportional quantities' constant values is known as the constant of proportionality. When either their ratio or their product gives a constant, two changing values are said to be in a proportionate relationship. The Direct Variation and Inverse Variation types of proportions between the two provided quantities determine the proportionality constant's value.

Direct Variation: The direct proportionality equation is y = kx, which demonstrates that as x rises, y rises at the same rate.

Inverse Variation: The indirect proportionality equation, y = k/x, demonstrates that when y rises, x falls, and vice versa.

Two variables are said to be proportion if an increase/decrease in one variable causes an increase/decrease in the other variable.

Let x represent the movie tickets and y represent the cost.

Since x and y are proportional, hence:

y ∝ x

y = rx

Where r is the constant of proportionality.

From the table to find x, when y = 17, x = 2, hence:

17 = 2r

r = 8,5

y = 8.5x

Hence, the equation to represent proportionality relationship is y = 8.5x.

Learn more about proportionality here:

https://brainly.com/question/29126727

#SPJ1

Answer: make my answer brainliest

Step-by-step explanation:

379.25

The circumference of a D battery with 0.65 inches radius was found to be 4.14 inches.

To find the circumference of a circle, we can use the formula:

C = 2 * π* r

where C is the circumference, π (pi) is a constant approximately equal to 3.14, and r is the radius of the circle.

For the circular base of a D battery with a radius of 0.65 inches, the circumference can be calculated as follows:

C = 2 * π * 0.65

C = 2 * 3.14 * 0.65

C = 4.14

Rounding to the nearest hundredth, we get:

C = 4.14 inches

So, the estimated circumference of the circular base of the object is approximately 4.14 inches

Learn more about circumference of a circle here brainly.com/question/18571680

#SPJ4

Answer:

Step-by-step explanation:

Box plots, also known as box-and-whisker plots, are a graphical representation of the distribution of a set of data. To compare two or more box plots, you should consider the following aspects:

Central Tendency: Compare the medians of the box plots to see if they are similar or if there are significant differences. If the medians are similar, it suggests that the central tendency of the data is similar.

Spread: Compare the ranges of the box plots to see if they are similar or if there are significant differences. If the ranges are similar, it suggests that the data has similar spread.

Outliers:the presence, frequency, and magnitude of outliers in each box plot. Outliers can significantly affect the central tendency and spread of the data, so they should be considered when comparing box plots.

Shape: Compare the shapes of the box plots to see if they are symmetrical or skewed. Symmetrical box plots suggest a normal distribution, while skewed box plots suggest a non-normal distribution.

Overlap: Compare the overlap between the box plots to see if there is significant overlap or if the data sets are mostly distinct. If the box plots overlap significantly, it suggests that there is some overlap between the data sets.

It's also important to keep in mind the context of the data when comparing box plots. For example, if the data sets being compared come from different populations, it may not be appropriate to compare them directly.

By considering these aspects, you can gain a better understanding of the similarities and differences between two or more box plots and make more informed comparisons.

The possible values of x % 10, where x is an integer, are integers between 0 and 9, inclusive, i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

The modulo operation (represented by the percent symbol %) returns the remainder of the division of one number by another. For example, when x is divided by 10, the result of x % 10 is the remainder of that division.

Since 10 is a positive integer, when x is divided by 10, the result is always a non-negative integer. Furthermore, since the range of x is all integers, the result of x % 10 will always be less than 10.

Therefore, the possible x % 10 are integers in the range of 0 to 9, including 0 and 9. These are the remainders that can result from dividing x by 10. For example:

7 % 10 = 7

17 % 10 = 7

27 % 10 = 7

In all of these cases, the remainder is 7 when the number is divided by 10.

Learn more about modulo operation and remainders in arithmetic at:https://brainly.com/question/30326087

#SPJ4

On solving the provided question, we can say thatthe equations will be each moth will be 564/x = 564/12 = $47 and 2 moths will be = 47x = 47*2 = $94

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

Tonya saved $564 in one year.

the equations will be

each moth will be 564/x

= 564/12 = $47

2 moths will be = 47x = 47*2 = $94

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Jara wants to choose a negative integer closest to zero. The closest negative integer to zero is -1, which is closer to zero than -3. So, Jara has only one possible choice, which is -1.

Jara needs to choose a negative whole number that is nearer to zero than - 3 on the number line. To find the response, we want to decide the nearest regrettable whole number to nothing. On the number line, the nearest bad whole number to zero is - 1. This intends that - 1 is nearer to zero than some other negative number, including - 3.

Since Jara needs to choose a negative whole number that is nearer to zero than - 3, her main conceivable decision is - 1. It is vital to take note of that zero isn't viewed as a negative whole number, and the whole numbers on the number line are either sure or negative, not both.

Taking everything into account, Jara has just a single conceivable decision, which is - 1. This implies that the response to the inquiry is 1. It is likewise vital to recall that while choosing a number more like zero, we should pick the number that is nearest to nothing and in addition to any number that is nearer to zero than another number.

To learn more about number line, refer:

https://brainly.com/question/11249293

#SPJ4

Elena spent an amount of $4.10 + p more than Taniy.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Let's represent the amount spent by Elena and Taniy as E and T, respectively. We know that:

E = 8.25 + 4p (since Elena bought a watermelon for $8.25 and 4 pounds of cherries for 4p)

T = 4.15 + 3p (since Taniy bought a pineapple for $4.15 and 3 pounds of cherries for 3p)

The expression to represent how much more Elena spent can be represented as:

E - T = (8.25 + 4p) - (4.15 + 3p)

Expanding the right side:

E - T = 8.25 + 4p - 4.15 - 3p

Combining like terms:

E - T = 4.10 + p

So Elena spent $4.10 + p more than Taniy.

Learn more about Expressions here :

brainly.com/question/21751419

#SPJ1

The estimated money collected in concession sales is 39000000.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount made in sales:

$10, 486, 525 = hot dog sales

$23, 451,492 = large drink sales

$4,765, 300 = soft pretzel sale

$1,342,653 = nacho sales

Now,

Rounding to the nearest million.

$10, 486, 525 = hot dog sales = $10,000,000

$23, 451,492 = large drink sales = $23,000,000

$4,765, 300 = soft pretzel sale = $5,000,000

$1,342,653 = nacho sales = $1,000,000

Now,

The estimated money collected in concession sales.

= 10,000,000 + 23,000,000 + 5,000,000 + 1,000,000

= 39000000

Thus,

The estimated money collected is 39000000.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

The missing value to make the set of numbers to have a range of 40 is the number 2.

In mathematics, the range can be defined as the difference between the greatest and lowest values in a set of numbers. Due to this, the range can be found by using subtraction.

In this case, the current range is 37 which is a result of 42 (greatest value) -5 (lowest value). However, the required range is 40. Let's calculate the missing value:

42-40 = 2

Based on this, the missing value is 2.

Learn more about range in https://brainly.com/question/28135761

#SPJ1

The seller reports the cost of delivery on the balance sheet as an asset.

FOB stands for "Free on board." It serves as a declaration that the risk and ownership of the items have been passed from the seller to the buyer. This implies that the vendor is not responsible if the items are damaged or destroyed during shipping.

Given:

Inventory of finished goods is shown as a current asset on the balance sheet.

Inventory of finished goods is an example of a current asset that will or should be sold within a year.

Stock does not qualify as a non-current asset. A non-current asset is one that has a lifespan longer than a year, such as machinery or equipment.

Learn more about FOB here:

https://brainly.com/question/14889555

#SPJ1

Answer:

The perimeter of triangle ABC with altitude BD can be found by using the Distance Formula. The coordinates of the vertices are A(-5, 2), B(-3, 5), C(5, 2), and D(-3, 2). The perimeter is then calculated as the sum of the distances between each pair of points: P = AB + BC + CD + DA = 8.24 units. The area can be found using Heron's Formula, which gives an area of 6.00 units.

Step-by-step explanation:

The perimeter of triangle ABC with altitude BD can be found by using the Distance Formula. The coordinates of the vertices are A(-5, 2), B(-3, 5), C(5, 2), and D(-3, 2). Using the Distance Formula, the sides of the triangle can be calculated as follows: AB = √((-3 - (-5))² + (5 - 2)²) = √(8 + 9) = √17; BC = √((5 - (-3))² + (2 - 5)²) = √(8 + 9) = √17; and AC = √((-5 - 5)² + (2 - 2)²) = 0. Therefore, the perimeter of triangle ABC is AB + BC + AC = 17√2 units.

The area of triangle ABC can be found using Heron's Formula, which states that the area of a triangle is equal to the square root of s(s-a)(s-b)(s-c), where s is half of the perimeter and a, b, and c are the lengths of each side. In this case, s is half of 17√2 or 8.5√2 units. Plugging in these values into Heron's Formula yields an area for triangle ABC equal to 8.5√2 * 4 * 3 * 1.5√2 or 36√2 units squared.

Answer:

12 units

Step-by-step explanation:

AB^2 = [(-5) - (-2)]^2 + [(-2) - (-2)]^2 = 9

AB = 3

So similarly, BC = 5 and AC = 4

Hence, the perimeter = AB + BC + AC = 12 units

Answer:

Below

Step-by-step explanation:

Using   162 km = 162000m   and  1 hour = 3600 s

162000 m / 3600s = 45 m/s

At constant 45 m/s :

  rate * time = distance

    45 m/s * 15 s = 675 m   in 15 seconds

Answer:

$644

Explanation:

if the lawn is 15 yards wide and 31 yards tall, you need to figure out the perimeter. 15+15+31+31=92, so the perimeter of the yard is 92 yards. If it costs $7 per yard, then all you need to do from there is multiply 92 by 7, getting you 644. So it would cost $644 to install a fence around the lawn.

The system of linear equations that describes the number and amount of coins that Jackson owns is: d - q = 5, 0.10 · d + 0.25 · q = 16.60, where q and d are the number of quarters and dimes.

In this problem we must construct a system of linear equations associated to number and amount of coins that Jackson owns. The procedure is shown below. First, determine the variables of the system:

q - Number of quarters

d - Number of dimes

Second, construct the system of linear equations:

Number of coins

d - 5 = q

d - q = 5

Amount of coins

0.10 · d + 0.25 · q = 16.60

Third, write the resulting system:

d - q = 5

0.10 · d + 0.25 · q = 16.60

To learn more on systems of linear equations: https://brainly.com/question/21292369

#SPJ1

To find the greatest number of equal groups Cedric could have made, we need to find the greatest common factor (GCF) of 18 and 24.

The prime factorization of 18 is 2 × 3².

The prime factorization of 24 is 2³ × 3.

To find the GCF, we need to take the product of all the common factors and the lowest exponent of each factor that is common to both numbers. In this case, the common factor is 2 and the lowest exponent is 1.

GCF(18, 24) = 2¹ = 2

So Cedric could have made up to 2 equal groups of stickers.

To find how many of each type of sticker he put in each group, we can divide the number of stickers by the number of groups.

For the rocket stickers, Cedric put 18 stickers in 2 groups, so he put 9 rocket stickers in each group.

For the airplane stickers, Cedric put 24 stickers in 2 groups, so he put 12 airplane stickers in each group.

Therefore, Cedric put 9 rocket stickers and 12 airplane stickers in each of the 2 groups he made.

The volume of the composite prism using the three methods is 4x^3 - 26x^2 -2x + 160

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

The composite figure

Using two prisms, we have the following dimensions

The volume is the product of the dimensions

So, we have

Volume = (x + 4) * (x - 5) * (x - 8) + x * (x - 5) * (3x - 2)

Evaluate

Volume = 4x^3 - 26x^2 -2x + 160

Here, we have the following dimensions

The volume is the product of the dimensions

So, we have

Volume = (x + 4) * (x - 5) * (x - 8) + x * (x - 5) * (3x - 2 - x + 3) + x * (x - 5) * (x - 3)

Evaluate

Volume = 4x^3 - 26x^2 -2x + 160

In (a) and (b), we have

Volume = 4x^3 - 26x^2 -2x + 160

For the large prism, we have

Large = x * (x - 5) * (3x - 2)

Evaluate

Large = 3x^3 -17x^2 + 10x

Subtract 3x^3 -17x^2 + 10x from the total volume to get the smaller volume

Smaller = 4x^3 - 26x^2 -2x + 160 - (3x^3 -17x^2 + 10x)

Evaluate

Smaller = x^3 - 9x^2 - 12x + 160

Hence, the volume of the prism is 4x^3 - 26x^2 -2x + 160

Read more about polynomial at

https://brainly.com/question/24662212

#SPJ1

The two integers whose product is 136 are 17 and 8.

Let x be one of the integers. Then, the other integer is 3x - 7. The product of the two integers is given by:

x * (3x - 7) = 136

Expanding and solving for x, we get:

x^2 - 7x + 136 = 0

Using the quadratic formula, we can find the two solutions for x:

x = (-(-7) ± √([tex](-7)^2[/tex] - 4 * 1 * 136)) / (2 * 1)

x = (7 ± √(49 + 544)) / 2

x = (7 ± √593) / 2

Since x must be an integer, we round down the decimal to the nearest integer to get:

x = 8 or x = 9

Since x represents one of the integers, the other integer is 3x - 7, so:

3x - 7 = 3 * 8 - 7 = 17

Therefore, the two integers are 8 and 17, and their product is 136.

Learn more about Simple Maths:

https://brainly.com/question/13442477

#SPJ4

Answer:

Step-by-step explanation:
I got you.

1.
The six-sided figure can be broken down into a rectangular prism with dimensions 35 x 20 x 30 and a right triangular pyramid with base 35 x 15 and height 30.

The rectangular prism has a total floor area of 35 x 20 = 700 square feet.

The right triangular pyramid has a base area of 0.5 x 35 x 15 = 262.5 square feet and a total floor area of 262.5 + 700 = 962.5 square feet.

So the total floor area of the six-sided figure is 962.5 square feet.

To find the cost to cover the floor with wax, we multiply the floor area by the cost per square foot:

962.5 * $1.38 = $1322.35

So the wax will cost $1322.35 to cover the floor.

2.
The shape for the quilt block can be divided into two right triangles and a rectangle. The rectangle has a length of 13 inches and a width of 5.18 inches, so its area is 13 * 5.18 = 67.34 square inches. The two right triangles each have a base of 5 inches and a height of 6 inches, so their area is 0.5 * 5 * 6 = 15 square inches each. The total area of the two right triangles is 15 * 2 = 30 square inches. The total area of the quilt block is 30 + 67.34 = 97.34 square inches.

So the area of the shape for the quilt block is 97.34 square inches.

3.
The area of a parallelogram is given by the formula: Area = base * height.

So the area of this parallelogram is:

22.5 feet * 19.25 feet = 432.0625 ft^2

So the area of the parallelogram is 432.0625 square feet or approximately 432 and 6/16 square feet.

4.
An isosceles trapezoid has two equal sides that are parallel to each other. In this case, the two equal sides are perpendicular to the height and are equal to 4 + 7 = 11 meters each. The average of the two parallel sides is the formula for the top base of a trapezoid, so the top base is (3 + 11)/2 = 7 meters.

The area of a trapezoid is given by the formula: Area = (bottom base + top base) * height / 2.

So the area of this trapezoid is:

(3 + 7) * 6.2 / 2 = 33.4 m^2

So the area of the trapezoid is 33.4 square meters.

5.
The area of a rhombus is given by the formula: Area = (diagonal 1 * diagonal 2) / 2.

In this case, the base of the rhombus is equal to one of its diagonals, and the height is equal to the other diagonal. So the area of this rhombus is:

(16 * 15.5) / 2 = 124 cm^2

So the area of the rhombus is 124 square centimeters.

6.
he total area of the figure can be found by dividing it into two parts: a parallelogram and a triangle.

The parallelogram can be found by using the formula for the area of a parallelogram: Area = base * height. In this case, the base is 4 inches and the height is 2.3 inches, so the area of the parallelogram is: 4 * 2.3 = 9.2 square inches.

The triangle can be found by using the formula for the area of a triangle: Area = (base * height) / 2. In this case, the base is 2.5 inches and the height is 3 inches, so the area of the triangle is: (2.5 * 3) / 2 = 3.75 square inches.

The total area of the figure is the sum of the areas of the parallelogram and triangle: 9.2 + 3.75 = 12.95 square inches.

So the total area of the figure is approximately 12.95 square inches.

7.
The figure can be broken down into two triangles and a rectangle. The area of one triangle is (1/2)bh = (1/2)(22)(34) = 308. To find the area of the other triangle, use the Pythagorean theorem to find the length of the remaining side. The two remaining sides are 43 and 18, and the hypotenuse is the side connecting the two vertices, so we have:

a^2 + b^2 = c^2

43^2 + 18^2 = c^2

1,849 + 324 = c^2

2,173 = c^2

c = 46.7

The area of this triangle is (1/2)bh = (1/2)(46.7)(34) = 786.2

The rectangle has a base of 43 and a height of 34, so its area is 43 * 34 = 1,462

The total area of the figure is 308 + 786.2 + 1,462 = 2,556.2 square meters.

So the answer is 2,556.2 m2.

The correct option regarding the solution of the compound inequality is given as follows:

No solution.

The inequality for this problem is defined as follows:

−1≤2−j<−5

Hence the first condition is of:

j - 2 ≤ 1

j ≤ 3.

The second condition is of:

2−j<−5

j < -7

j > 7.

We have an and operation, meaning that the two conditions must be satisfied simultaneously.

A number cannot be simultaneously less or equal to 3 and greater than 7, hence the compound inequality has no solution.

More can be learned about compound inequalities at https://brainly.com/question/9290436

#SPJ1

Answer:

the answer I think is the 1st

Step-by-step explanation:

as the change (+4) is in y

not in x

Answer: Let x be the number of shirts that David buys.

The cost of the shirts can be represented by the equation: $15x.

The total amount of money that David has spent can be represented by the equation: $32.25 + $15x.

Since David has a total of $65 to spend, we can write the inequality:

$32.25 + $15x ≤ $65

Solving for x, we get:

$15x ≤ $65 - $32.25 = $32.75

$15x ≤ $32.75

$x ≤ $32.75 / $15 = 2.183333

Since David can only buy a whole number of shirts, the maximum number of shirts that he can buy is 2.

So, the maximum number of shirts David can buy is 2.

Step-by-step explanation:

A. For 22.3 tons of sugar, the two companies would charge the same.

B. The cost, when the two companies charge the same, would be $5040.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

A. To find the amount of sugar for which the two companies charge the same, we can set the cost for each company equal to each other and solve for the amount of sugar.

The equation for the first company would be:

2804 + 100.25x (where x is the number of tons of sugar)

The equation for the second company would be:

225.75x

Setting these two expressions equal to each other and solving for x, we get:

2804 + 100.25x = 225.75x

x = 22.3

So, for 22.3 tons of sugar, the two companies would charge the same.

B. To find the cost when the two companies charge the same, we can plug 22.3 tons of sugar into either of the two equations:

2804 + 100.25 × 22.3 = $5039.57

or

225.75 × 22.3 = $5039.57

So, the cost when the two companies charge the same would be $5040.

Learn more about the equation here:

brainly.com/question/13947055

#SPJ1

The question seems incomplete, the missing part has been below:

The sugar-sweet company will choose from two companies to transport its sugar to market. The first company charges $2804 to rent trucks plus an additional fee of $100.25 for each ton of sugar. The second company does not charge to rent trucks but charges $225.75 for each ton of sugar.

A. For what amount of sugar do two companies charge the same?

B. What is the cost when two companies charge the same?

The equation or statement assigning total meal cost is total meal cost = cost of one taco × number of taco + cost of one drink × number of drink.

The word expression representing the complete transaction will be as follows -

The left hand side will have total cost and the right hand side will individual cost of each item. The individual cost of each item will further be states as -

Taco = The product of cost of one taco and number of tacos

Similarly, drinks = the product of cost of one drink and number of drinks

Forming the combined equation now -

total meal cost = cost of one taco × number of taco + cost of one drink × number of drink

Representing it according to example in Equation -

26 = 4 × 2 + 3 × 6

26 = 8 + 18

26 = 26

Learn more about equation -

https://brainly.com/question/2972832

#SPJ4