Solve using the substitution method:

6x + y =15
4x + 3y = 31

Answer:

4/3

Step-by-step explanation:

3/2 t + 2 = 4;

1.5t+2 = 4

1.5t = 2

t= 2/1.5 = 4/3

Answer:

9-5=4

Step-by-step explanation:

Plug in 9 for m and 5 for n

Answer:

m - n = 4

Step-by-step explanation:

m - n

9 - 5 = 4

Answer:

This one:

The equation

24x2+25x−47

ax−2

=−8x−3−

53

ax−2

is true for all values of x≠

2

a

, where a is a constant.

What is the value of a?

A) -16

B) -3

C) 3

D) 16

Answer: ≅ $0.02

Step-by-step explanation:

First, lets find the area of the large triangle

0.5 x 14 x 11 = 77 mm^2

Next lets find the area of the middle rectangle:

4 x 14 = 56 mm^2

Last lets find the area of the small triange:

0.5 x 14 x 3 = 21 mm^2

So the total area is: 77 + 56 + 21 = 154 mm^2

the total cost is given to be: 1.52 + 0.42 + 0.92 = $2.86

dividing the cost by the area to find the cost/mm:

2.86/154 ≅ $0.02

Answer:

y = -8

Step-by-step explanation:

2(y-2)- 6y-28 = 0

2y - 4 -6y - 28 = 0

-4y = 32

y = -8

Answer:

Step-by-step explanation:

Answer:

2h and 26 minutes

Step-by-step explanation:

21x2=42

42x3=126

2x10=20

126+20=146

146m=2h 26m

0.137606 the standard error of the average amount of coffee a stat 107 student drinks per day is greater than 12.7 oz.

Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Statisticians can assess if the data fits into a normal distribution or another mathematical connection using the standard deviation. The average, or mean, data point will be within one standard deviation of 68% of the data points if the data follow a normal curve.

Given that,

Standard deviation (σ) = 5.2 oz

mean (μ) = 10 oz

Number of students (n) = 120

As we know,

P ( z > 12.7 oz.) = P (z > [{x(avg.) - μ\(\sqrt{n}\)}/σ])

                        = P (z > [{12.7 - 10\(\sqrt{120}\)}/5.2])

                        = P (z > 1.86)

                        = 1 - P ( z < 1.86)

                        = 1 - 0.862394

                        = 0.137606

Thus, P( z > 12.7 oz.) = 0.137606

To know more about standard deviation refer to:

https://brainly.com/question/12669569

#SPJ4

..................Is this a joke?

The commission (in dollars) did he earn last month is 540$.

We have given

A salesman earns 6% commission on all the merchandise that he sells.

Last month he sold $9000 worth of merchandise.

Salesman earns 6% =6/100=0 .06

Earning a commission means that a portion of your salary is based on the amount of sales revenue you generate or another similar performance-based goal.

So we have to determine 6% of 9000

We can be written as

=0.06 x 9000,

= 540$

The commission (in dollars) did he earn last month is 540$.

To learn more about the commission visit:

https://brainly.com/question/24951536

Hey there!

Solve for x :

x = 6 ✅

3x - 2 = 16

>> Add 2 to both sides :

3x - 2 + 2 = 16 + 2

3x = 18

>> Divide each side by 3 :

3x / 3 = 18 / 3

x = 6

▪️Let's verify :

3(6) - 2 ⇔18 - 2 ⇔ 16

Therefore, your answer is x = 6

Learn more about first-degree equations :

↣https://brainly.com/question/20205219

↣https://brainly.com/question/14621119

3x−2=16

Add 2 to both sides.

3x=16+2

Add 16 and 2 to get 18.

3x=18

Divide both sides by 3.

x = 18 /3

Divide 18 by 3 to get 6.

x = 6 ===> Answer

Let x = 6

3×6−2=16

18-2= 16

16 = 16

Checked ✅

Answer:

The radius of the circle is 24.5 units

Step-by-step explanation:

The formula for the circumference of a circle is \(C=2\pi r\)

Where \(C\) is the circumference and \(r\) is the radius.

Lets solve for \(r\).

Divide both sides of the equation by \(2\pi\).

\(\dfrac{C}{2\pi}=r\)

Now we have an equation to evaluate the radius.

Numerical Evaluation

In this example we are given

\(C=153.86153\\\pi =3.14\)

Substituting our values into our equation for the radius yields

\(r=\dfrac{153.86153}{2*3.14}\)

\(r=\dfrac{153.86153}{6.28}\)

\(r=\dfrac{153.86153}{6.28}\)

\(r=24.5\)

Answer: 2,111 soccer balls

Step-by-step explanation:

         We will divide the total amount of money by the price per ball to find how many balls the league can buy.

        $6,333 / $3 = 2,111

        The league can buy 2,111 soccer balls.

Answer:

x = 7.5

Step-by-step explanation:

take 20 degree as reference angle

using cos rule

cos 20 = adjacent / hypotenuse

0.93 = 7/x

x = 7/0.93

x = 7.5

The direct labor cost included in the Preble Company's flexible budget for March is $819,000.

To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.

Given:

Actual production and sales =n26,600 units

Actual direct labor rate = $13.00 per hour

Actual direct labor hours worked = 63,000 hours

Direct labor cost = Actual direct labor rate × Actual direct labor hours worked

Direct labor cost = $13.00/hour × 63,000 hours

Direct labor cost = $819,000

Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.

Learn more about direct labor cost at brainly.com/question/29390449

#SPJ1

Answer:

Simple, no. This would not be enough.

Step-by-step explanation:

This is because you mentioned that there are 20 students and each of them needed 2 plates. So, there would need to be at least 40 plates. Forks seem irrelevant in this question but if the teacher has 8 plates in 1 box and another 8 in the second box, that would sum up to 16 plates that are available. And the fact that the box doesn't even include the other items, should hint the lack of items available for the students.

This question seemed worded differently. But tried my best. :)

The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)

For the first question:

The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.

The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.

Now, let's analyze the answer options:

A. A line passes through the point (0, 0) and continues through the point (3, 12).

This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.

B. A line passes through the point (0, 0) and continues through the point (2, 8).

This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).

C. A line passes through the point (0, 0) and continues through the point (6, 24).

This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.

D. A line passes through the point (0, 0) and continues through the point (12, 3).

This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).

Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.

For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?

for more such question on point visit

https://brainly.com/question/1859113

#SPJ8

The resulting triangle after a reflection of triangle NMO over the line x = 2 would be N'(9, 2), M'(6, 1) and O'(7, 3)

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Reflection is a type of transformation that involves the flipping of a point or figure over a line.

Triangle NMO with vertices at N(-5, 2), M(-2, 1) and O(-3, 3) is reflected over the line x = 2

The resulting triangle would be N'(9, 2), M'(6, 1) and O'(7, 3)

Find out more on equation at: https://brainly.com/question/29174899

#SPJ1

Answer:

Actually, all of them!

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

A mode is the number having the highest frequency, that is, the number which occurs the most times. (The number which occurs the most here is 4, there are two 4s. You only have one of the rest of the numbers.)

The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:

More can be learned about extremas of a function at https://brainly.com/question/9839310

#SPJ1

Answer:

-1xy

Step-by-step explanation:

The standard deviation of the residuals is (actual values of y - predicted values of y) is 0

The correlation coefficient is the degree of association between two quantities in terms of linear relation.

The range of correlation coefficient is -1 to 1

If the correlation is -1, then that means  as the one quantity increases, the other quantity decreases (linearly)

If the correlation is 0, then there is no linear relationship between two variables.

If the correlation is 1, then that means  as the one quantity increases, the other quantity increases(linearly) and vice versa for decrement.

Thus, if the correlation coefficient of two variables is 1 or -1, then that means they are linearly related.

For this case, we're given that:

That shows that:

\(y = mx + c\) (a linear relation between x and y).

Now, since there was a line fit, that fit would exactly match with the real line y = mx +c

Thus, the actual values and predicted values both will overlap, due to which, there would be no difference between them.

That means:

Residuals = actual values of y - predicted values of y = 0

All values of residuals = 0, thus, mean of residuals is 0 too.

Since all the values of the residuals is 0 = their mean, there is no deviation of residuals from their mean.

Thus, the standard deviation of the residuals in this case is 0.

Learn more about correlation coefficient here:

https://brainly.com/question/10725272

Answer:

it depends on what you're doing

what's the name of the topic

Answer:

number is 2

Step-by-step explanation:

let the number be n then 8 times the number is 8n, subtract 1 from this and

8n - 1 = 15 ( add 1 to both sides )

8n = 16 ( divide both sides by 8 )

n = 2

that is the number is 2

Answer:

true

Step-by-step explanation:

The absolute value of |-32| is 32; absolute value of |27| is 27; absolute value of |-12| is 12; absolute value of -|14| is -14.

The Absolute value |x| of a real number x is the non-negative value of x without regard to its sign.

|x| = x ; |-x| = x

Therefore absolute value of

|-32| = 32

|27| = 27

|-12| = 12

- |14| = - 14

Absolute value describes the distance from zero that a number is on the number line , without considering direction. The absolute value of a number is never negative. Sometimes a sign is attributed to a numeric value to signify the direction, in addition to the value.

The absolute value of a number is defined as its magnitude irrespective of the sign of the number.

To know more about absolute value here

https://brainly.com/question/24534147

#SPJ4

Answer:

5= -2w i think

Step-by-step explanation:

6w+8+4w-3 = w

8-3= -6w - 4w

5 = -2w

Answer:

Step-by-step explanation:

It depends on the number of terms in the progression. If there are n terms:

S_n = n × (6 + 46)/2