Choose a method that can be used to solve this system of equations by elimination 2x – 2y = 24 4x + 7y = –40

Robert's box-and-whisker plot should look like the following: C. box-and-whisker plot C.

In Mathematics, a box plot is sometimes referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Next, we would sort the observations (data set) from the least to greatest as follows:

14, 18, 21, 27, 32, 38, 46}.

Based on the information provided above, the five-number summary for the given data set include the following:

Minimum = 14

First quartile = 18.

Median = 27.

Third quartile = 38.

Maximum = 46.

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Using an equation, the bride-to-be and her maid of honor will each have made 25 favors in 5 minutes.

An equation is a mathematical statement showing that two or more mathematical expressions are equal or equivalent.

Equations are depicted using the equal symbol (=), while mathematical expressions, which combine variables, constants, and values only use mathematical operands.

The total number of wedding favors assembled by the bride-to-be = 15

The bride's assembling rate per minute = 2 favors

The maid of honor's assembling rate per minute = 5 favors

Let x = the number of minutes used

Let the number of favors assembled by the bride = 15 + 2x

Let the total number of favors assembled by the maid of honor = 5x

For the two to assemble the same number of favors, 15 + 2x = 5x

15 = 3x

5 = x

Thus, in 5 minutes the bride-to-be and her maid of honor will have assembled 25 favors each.

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Answer: AB and BC form a right angle at point B, so BC is perpendicular to AB. To find the equation of BC, we can use the slope-point formula, which is y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

The slope of a line perpendicular to AB can be found by finding the negative reciprocal of the slope of AB. To find the slope of AB, we need to find the difference in the y-coordinates and divide it by the difference in the x-coordinates:

m_AB = (y2 - y1) / (x2 - x1)

= (4 - (-1)) / (4 - (-3))

= 5 / 7

The slope of a line perpendicular to AB is the negative reciprocal of m_AB:

m_BC = -1 / m_AB = -1 / (5/7) = -7/5

Now that we have the slope of BC, we can use the slope-point formula to find the equation of BC. We'll use the point B = (4, 4) as (x1, y1):

y - 4 = -7/5 (x - 4)

y = -7/5 x + 4(7/5) + 4

y = -7/5 x + 36/5

So the equation of BC is y = -7/5 x + 36/5.

Step-by-step explanation:

The values of x, y and z are given as follows:

Similar polygons are polygons that share these two features presented as follows:

There are two similar trapezoids for this problem, hence the proportional relationship for the side lengths is given as follows:

x/15 = 10/24 = y/16 = z/12.

Applying cross multiplication, the value of x is given as follows:

24x = 15 x 10

x = 15 x 10/24

x = 6.25.

The value of y is given as follows:

y = 16 x 10/24

y = 6.67.

The value of z is given as follows:

z = 12 x 10/24

z = 5.

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Answer:

4x * -16

Step-by-step explanation:

You use the distributive property and multiply 4 by everything in the parentheses. The 16 is negative because you keep the minus sign with the number behind it.

The solution of the system of linear equations y = 9x + 14 and y = 6x + 35 will be (7, 77).

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

The system of linear equations is given below.

y = 9x + 14                ....1

y = 6x + 35              ....2

From equations 1 and 2, then we have

9x + 14 = 6x + 35

3x = 21

x = 7

The value of 'y' is given as,

y = 6 (7) + 35

y = 42 + 35

y = 77

The solution of the system of linear equations y = 9x + 14 and y = 6x + 35 will be (7, 77).

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Answer: 240 Grams.

Step-by-step explanation: First I need to find how many grams each bat eats, then multiply the 48 bats by each gram the bats eat. And you would get 240!

Kingsley knows that 1 inch is about 2. 54 centimeters.6 inches is equivalent to 15.24 centimeters.

To convert any given length in inches (I) to centimeters (c), Kingsley can use the following equation:

c = I * 2.54

This equation works because we know that 1 inch is equal to 2.54 centimeters. So, to convert any given length in inches to centimeters, we simply multiply the number of inches by 2.54. The result gives us the equivalent length in centimeters.

For example, if we want to convert a length of 6 inches to centimeters, we can use the equation:

c = 6 * 2.54 = 15.24

So, Kingsley knows that 1 inch is about 2. 54 centimeters. 6 inches is equivalent to 15.24 centimeters.

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The total time that tammy sent in total playing games is; 4.5 hours

The parameters given for Tammy in playing the game are;

Number of games played = 12 games

Time spent per game = ³/₈ hours

Thus;

Total time she spent playing game will be gotten by multiplying the time per game by number of games played to get;

Total time spent = ³/₈ * 12

= 9/2

= 4.5 hours

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Complete question is;

A game lasts 3/8 hours. Tammy played 12 of these games. For how long did she play in total? Write your answer in simplest form.

The value of x for the similar triangles is equal to 13.

We have the triangles to be similar, this implies that the length 8 of the smaller triangle is similar to the length x - 1 of the larger triangle

and the length 10 of the smaller triangle is similar to the length x + 2 of the larger triangle

so;

10/(x + 2) = 8/(x - 1)

10(x - 1) = 8(x + 2) {cross multiplication}

10x - 10 = 8x + 16

10x - 8x = 16 + 10 {collect like terms}

2x = 26

x = 26/6 {divide through by 6}

x = 13.

Therefore, the value of x for the similar triangles is equal to 13.

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Answer:

Step-by-step explanation: 22/7 is a rational number because it can be expressed as a ratio or fraction of two integers. The numerator (22) and denominator (7) are both integers, and the denominator is not equal to zero, so 22/7 is a well-defined fraction. Since every fraction represents a rational number, 22/7 is also a rational number

The graph to the inequality is added as an attachment

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

2y+8x<4

5x+20 is greater than or equal to -10y

Express properly

2y+8x<4

5x+20 > -10y

Next, we make a plot of the system to determine the solution

The shaded area in the plot represent the solution to the inequality

In this case, the shaded area has a coordinate of (1.143, -2.571)

Hence, the solution is (1.143, -2.571)

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Answer:

k = 48.4

Step-by-step explanation:

[tex] \frac{k - 16}{6} = 5.4 \\ 6 \times \frac{(k - 16)}{6} = 5.4 \times 6 \\ k - 16 = 32.4 \\ k = 32.4 + 16 \\ k= 48.4 [/tex]

Point H is located at 6 on the number line, which is 6 units to the right of the zero point.

We know that Point G is located at-18 on the number line, and that Point H is 24 further than Point G. To find the position of Point H, we need to add 24 to the position of Point G

Point H = Point G + 24

Substituting the position of Point G, we get

Point H = -18 + 24

Simplifying the expression, we get

Point H = 6

thus, Point H is located at 6 on the number line.

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If he want to write an exponential function to represent the value of a $10,000 investment decreasing at 2% annually, then the multiplicative rate will be 0.98

The initial investment = $10000

decreasing percentage = 2%

Therefore, the second term will be the 98% of the first term

The first term = 10000

The second term = 10000 × 98/100

= 10000 × 0.98

= 9800

The common ratio is the ratio of the second term to the first term

The common ratio = second term / first term

= 9800 / 10000

= 0.98

Therefore, the multiplicative rate of change should Hal use in his function is 0.98

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The vertex of the parabola is (0, -8).

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

We have to find the vertex of the parabola y = x² - 8,

x = -b/2a

where a is the coefficient of the x² term,

b is the coefficient of the x term, and

x is the x-coordinate of the vertex.

a = 1 and b = 0, so:

x = -0/(2.1) = 0

Now let us find the y-coordinate of the vertex, we can substitute x = 0 into the equation for the parabola:

y = (0)² - 8 = -8

Hence, the vertex of the parabola is (0, -8).

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Reena bought more spinach as the total weight of spinach is more than chili.

The weight of an object refers to as the force of gravity that is acting on the object. It is the amount of gravitational force applied by the Earth on that object.

Weight of spinach - 53.882 grams or 0.053882 kg

Weight of chili - 49.883 grams or 0.049883 kg

When comparing the above information, we get the weight of spinach to be more than the weight of chili as the weight of spinach is 53.882 grams which is more than the gross weight of chili i.e., 49.883 grams. So, Reena bought more spinach as compared to chili.

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The linear equation for A and B will be A=1000+35t and B=700+55t where t=no. of years and A will be same as B in 15 years.

What exactly is a linear equation?

The equation is referred to as linear when a variable's maximum power is 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. This equation has three variables: x, A, and B. A is a coefficient. A linear equation in which there are only two variables typically takes the form Ax + By = C. In addition to the constant C, there are three other constants: the variables x and y, the coefficients A and B, and the variables.

Now,

As given that High School A currently has 1000 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 55 students each year.

Let A represent the number of students in High School A in t years, and

Let B represent the number of students in High School B after t years.

Then A=initial students+35*no. of years and B=initial students+55*no. of years i.e. A=1000+35t and B=700+55t  

and for A=B

1000+35t=700+55t

55t-35t=1000-700

20t=300

t=15

hence,

          The linear equation for A and B will be A=1000+35t and B=700+55t where t=no. of years and A will be same as B in 15 years.

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Answer:

im him

Step-by-step explanation:

The correct quadratic equation that can be used to determine the thickness of the frame, x, is: 2x² + 10x - 7 = 0, Therefore Option B is the right answer

Here's how we can get this equation:

We are given that the mirror and frame together have an area of 7 square feet. The mirror itself has an area of 2 x 3 = 6 square feet. So, the area of the frame is 7 - 6 = 1 square foot.

Let's assume that the width of the frame is x feet. Then the overall width of the mirror and frame becomes 2 + 2x, and the overall length becomes 3 + 2x. The area of the mirror and frame can be expressed as:

(2 + 2x)(3 + 2x) = 6 + x(10 + 4x)

We know that this expression equals 7, so we can set it equal to 7 and obtain the quadratic equation:

2x² + 10x - 7 = 0

Therefore, the correct quadratic equation is 2x² + 10x - 7 = 0.

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The correct option is "the standard error is the standard deviation of the sampling distribution." Correct option is A.

The standard error is a measure of the variability of a sampling distribution, which is the distribution of sample statistics (e.g., mean, proportion) that would be obtained from multiple random samples of the same size from the same population.

The standard error represents the standard deviation of the sampling distribution, and it provides a measure of the precision of the sample statistic in estimating the population parameter.

The standard error is not the same as the standard deviation of the sample, which is a measure of the variability of the individual observations in the sample.

The standard deviation of the sample is typically used to estimate the standard deviation of the population, while the standard error is used to estimate the variability of the sample statistic and to construct confidence intervals or perform hypothesis tests.

While the other options are related to the concept of the standard error, they are not equivalent or fully accurate descriptions of what the standard error represents.

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Complete question is:

What is the standard error?

group of answer choices

A. the standard error is the standard deviation of the sampling distribution

B. the standard error is a measure of how representative a sample statistic is likely to be of the population parameter.

C. the standard error is calculated using the standard deviation of the sample all of the options describe the standard error.

Answer: the correct answer is 51

Step-by-step explanation: i solved this on my quiz

i hope this helps!

Sidney will use 54 cups of soda for 17 cups of ice cream, So the answer is 54 cups.

What is the ratio?

A ratio is a relationship between two things when it is expressed in numbers or amounts. For example, if there are ten boys and thirty girls in a room, the ratio of boys to girls is 1:3, or one to three.

We can start by noticing that the ratio of cups of ice cream to cups of soda used to make the floats is always 1:3.

To find out how much soda Sidney will use for 17 cups of ice cream, we can set up a proportion:

3.5/10.5 = 8/24 = 12.5/37.5 = 17/x

Solving for x, we can cross-multiply:

3.5x = 10.5 * 17

x = 54

Therefore, Sidney will use 54 cups of soda for 17 cups of ice cream, So the answer is 54 cups.

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Answer: 159 bpm

Step-by-step explanation:

if his rate is 53 beats in 1/3 of a minute, in 3/3 of a minute, (1 full minute), it will be 53 x 3 = 159 beats

so we can say his heart rate is 159 beats/minute, or 159 bpm

Answer:

-7

Step-by-step explanation:

Answer: -7

Step-by-step explanation: I hope this helped you out!!!! Please mark me as brainiest.

Answer:

6x-3 - (x-1) is the expression.

You want to make sure to bring the - over both the "x" and the "-1". You end up with the expression 5x-2. I need more info to "evaluate the expression", it is not possible to evaluate it currently because of limited information on what the expression would equal.

a) Periodic Deposit = (A - P×(1 + r/n)ⁿᵗ) × (n / ((1 + r/n)ⁿᵗ - 1))

b) The amount of the financial goal that comes from deposits is $60305.24 and the amount that comes from interest is = $149694.76.

Compound interest is a method of calculating interest on a principal amount that includes not only the initial principal but also the accumulated interest from previous periods.

a. The formula for periodic deposits, assuming a fixed interest rate and the same amount of deposit made at the end of each period, is:

Periodic Deposit = (A - P×(1 + r/n)ⁿᵗ) × (n / ((1 + r/n)ⁿᵗ - 1))

Where:

A = Financial goal

P = Initial deposit (assumed to be 0 in this case)

r = Annual interest rate (as a decimal)

n = Number of compounding periods per year

t = Time (in years)

Substituting the given values, we have:

Periodic Deposit = (210000 - 0*(1 + 0.035/12[tex])^{(12\times 13)}[/tex] * (12 / ((1 + 0.035/12[tex])^{(12\times 13)}[/tex] - 1))

= $543.15 (rounded to the nearest cent)

Therefore, the periodic deposit needed to reach the financial goal of $210000, with a 3.5% annual interest rate compounded monthly over 13 years, is $543.15 at the end of each month.

b. To determine how much of the financial goal comes from deposits and how much comes from interest, we can use the following formula for the future value of an annuity:

FV = P * ((1 + r/n)ⁿᵗ - 1) / (r/n) + A * (1 + r/n)ⁿᵗ

Where:

FV = Future value of the annuity (i.e., the financial goal)

P = Initial deposit

A = Periodic deposit

r, n, t = Same as before

Substituting the given values and solving for P, we have:

P = (210000 - 543.15 * (1 + 0.035/12[tex])^{(12\times 13)}[/tex] ) * (0.035/12) / ((1 + 0.035/12[tex])^{(12\times 13)}[/tex] - 1)

= $60305.24 (rounded to the nearest cent)

Therefore, the amount of the financial goal that comes from deposits is $60305.24, and the amount that comes from interest is $210000 - $60305.24 = $149694.76.

Hence,

a) Periodic Deposit = (A - P*(1 + r/n)ⁿᵗ) * (n / ((1 + r/n)ⁿᵗ - 1))

b) The amount of the financial goal that comes from deposits is $60305.24 and the amount that comes from interest is = $149694.76.

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Answer:

It is a function. You can identify when something is a function by finding whether plugging in any x value will result in one y value.

The equation that describes the graphed function is -

g(x) = - f(x) - 3.

A root function in mathematics is given as -

y = [tex]$\sqrt[n]{x}[/tex]

We can further write the function as -

y = [tex]$x^{\frac{1}{n} }[/tex]

Given is the graph of the function as shown in the image attached.

We can write the function f(x) as -

f(x) = √x

Inverting the f(x) across the {x} axis, we can write -

- f(x) = - √x

After downward translation, we can write g(x) as -

g(x) = - f(x) - 3

Therefore, the equation that describes the graphed function is -

g(x) = - f(x) - 3.

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The value of a and b are; a = 2, b = 4

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Given that the diagonals of parallelogram ABCD intersect at P.

4a +  b  = 2a + 8

4a - 2a + b = 8

     2a + b = 8 -----------------(I)

            b = 8 - 2a

11b - 10a = 6b

11b - 6b -10a = 0

5b - 10a = 0 ---------(II)

Substitute b = 8 - 2a  in equation (II)

5(8-2a) - 10a = 0

40 - 10a - 10a = 0

40 - 20a       = 0

-20a = - 40

a = -40/-20

a = 2

Plugin a = 2 in equation (I)

b = 8 -4

b = 4

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