Write a complete two-column proof for following information.
B
C
Given: AB = 3y - 1, BC = 7y, AC = 29
Prove: AB = 8

Answer:

6

Step-by-step explanation:

let the number be equal to x

The sum of twice a number= 2x

Step-by-step explanation:

-2x + 3y = -6

-3x - 2y = 11

-5x + y = 5

y = 5 + 5

y = 10

-2x + 3(10) = -6

-2x + 30 = -6

-2x = -6 - 30

-2x = -36

x = -18

i have no idea

Using arithmetic operations, If the value of c = 4 then the value of (c/2) + 6 is 7

The given expression is (c/2) + 6

The value of c = 2

To find the value of (c/2) + 6 we have to do the suitable arithmetic operation after substituting the value  c in the expression

Substitute the value of c in the given expression (c/2) + 6

(c/2) + 6 = (2/2) + 6

Divide 2 by 2 first

(2/2) + 6 = 1+6

Add one and six

1+6 = 7

Hence, by using the arithmetic operation, if the value of c = 4 then the value of (c/2) + 6 is 7

Learn more about arithmetic operation here

brainly.com/question/3075170

#SPJ1

The number of pie each got-

For the given question;

Let the number of pie eaten by Alex be 'a'.

Let the number of pie eaten by Bob be 'b'.

Let the number of pie eaten by Chuck be 'c'.

Then, for the given condition.

If you add Alex’s and bobs pie total together, they ate 22 pies,

a + b = 22 .....eq 1.

Bobs and chucks pies sum to 24.

b + c = 24   .......eq 2

Alex and chucks pie together be 16.

a + c = 16      .......eq 3

Solving equation 1 and 3 by elimination.

Subtract eq 3 from 1.

c = b - 6 .....eq 4

Solving equation 4 and 2.

b = 15

Put in eq 4

c = 9

Put the values of b and c in eq 1.

a = 7

Thus, the number of pie shared by Alex, Bob and Chuck are 7, 15 and 9 respectively.

To know more about the method of elimination, here

https://brainly.com/question/28405823

#SPJ10

Answer:

4x - 5y = 30

4x - 5(0) = 30

x1 = 7.5 y1 = 0

Find y-intercept

The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.

4x - 5y = 30

4(0) - 5y = 30

y2 = -6 x2 = 0

(x1,y1) and (x2,y2)

(7.5,0) and (0,-6)

Solve for x

To solve for x, we solve the equation so the variable x is by itself on the left side:

4x - 5y = 30

x = 1.25y + 7.5

Solve for y

To solve for y, we solve the equation so the variable y is by itself on the left side:

4x - 5y = 30

y = 0.8x - 6

Answer: [tex](-\infty, 0][/tex]

Step-by-step explanation:

This is a parabola that opens down (because of the negative leading coefficient).

So, the average rate of change (i.e., the slope of the secant) is negative when the function is decreasing.

The function is decreasing to the left of the vertex, which is at (0, 7).

So, the function has a negative average rate of change for [tex](-\infty, 0][/tex].

Answer:

$1560.60

Step-by-step explanation:

PV (1+V)^n

= 1500 (1+2%)² = 1560.6

Answer:

f= -g/3

Step-by-step explanation:

For this study, the mean of 16.7 minutes is an example of a (B) Statistic.

So, the appropriate choice is an option (B).

Therefore, for this study, the mean of 16.7 minutes is an example of a (B) Statistic.

Know more about Statistics here:

https://brainly.com/question/27061777

#SPJ9

The correct question is given below:
A researcher is interested in the travel time of Utrecht University students to college. A group of 50 students is interviewed. Their mean travel time in 16.7 minutes. For this study, the mean of 16.7 minutes is an example of a(n)

A. Parameter

B. Statistic

C. Population

D. Sample.

Solution of the given equation -3x =2x² -4,using quadratic formula is (-3 ±√41) /4.

As given in the question,

Given equation is:

-3x =2x² -4

Rearrange the terms in proper order:

2x² + 3x -4 =0

Solve it using quadratic formula

x = (-b ±√b²-4ac)/ 2a

Here compare the given equation with general quadratic equation:

a =2 , b=3 , c=-4

Substitute the values in the quadratic formula we get,

x = [ -3± √(3)² -4(2)(-4)]/2(2)

  = (-3 ± √9+32)/4

  = (-3 ±√41) /4

Therefore, Solution of the given equation -3x =2x² -4, using quadratic formula is (-3 ±√41) /4.

Learn more about quadratic formula here

brainly.com/question/9300679

#SPJ1

Hey! Your question was incomplete because I have double-checked my work, and even checked reliable sources to see if I missed something in my work, but I keep getting –238. I did play around with the question by switching the negative symbol around in the equation to see if I would get a balanced answer. I say this because when you solve the question you posted, the answer I got was w = –238, but when I went back to check my work by plugging that number in as the value of w, I got –238 ≠ 238 (or something like that. The number is the same, but the signs are not). If the signs and numbers don't both equal each other something is wrong with the problem. I believe I figured out where your question went wrong. Instead of the question being 34 = –w/7, I believe that the correct question should have been –34 = w/7. What I think happened was that when you typed your question, you swapped the negative on the 34 with the variable of w. If I am incorrect, and you typed your question correctly, I am sorry in advance because my work wasn’t matching what I got for w. But for now, I will solve what I think the question should have said. Again, sorry in advance. Solve for w in the following equation: –34 = w/7.

Write the equation:

–34 = w/7

Multiply both sides by 7:

7 × –34 = w/7 × 7

Multiply:

–238 = 1w

Divide:

–238/1 = 1w/1

–238 = w or w = –238

Check your work by plugging –238 back into the equation as w:

–34 = w/7

–34 = –238/7

Multiply both sides by 7:

–34 × 7 = –238/7 × 7

–238 = –238 ✔

Thus, w = –238

Hope that helps! Have an amazing rest of your day!! :)

Answer:

1     8    6

9    4    2

5    3    7

Step-by-step explanation:

1) When solving problems like this it is best to start with the smallest number. In this case the smallest number was 1, so that was placed in the top left corner.

2) The smallest number must be next to the two largest numbers so, 8 and 9 can be placed on its sides

1    8

9

3) solve for the final spots in the first row and the first column.

Row:

    1 + 8 = 9

    15 - 9 = 6

Column:

   1 + 9 = 10

   15 - 10 = 5

So,

1    8    6

9

5

3) Looking at the largest unused number, number 7, we can see that it is too large to go in the second row or the second column. This means it must be placed in the lower right corner

1    8    6

9

5          7

4) At this point you have enough information to solve for the rest of the numbers using simple addition and subtraction

Inequality - Trevor needs to tutor more than 6 hours in order to make at least $180.

What is inequality?

inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to. Either questions or theorems can be used to express inequality problems, and both can be solved using methods similar to those used to solve equations. The triangle inequality, for instance, states that the length of the remaining side of a triangle is greater than or equal to the sum of the lengths of any two of its sides. Many of these inequalities, including the Cauchy-Schwarz inequality, are used by mathematical analysis to prove some of its most significant theorems.

Total number of hours = 15

Let the hours spent tutoring French is x

Therefor, hours spent in scooping ice cream = (15-x)

Tutoring French is $15 an hour, total for x hours = 15x

Scooping ice cream is $10 an hour, 10×(15-x)= 150-10x

To make more than $180,

= 15x+ (150-10x)> 180

= 15x+150-10x>180

=15x-10x>180-150

=5x>30

=x>6

So, Trevor needs to tutor more than 6 hours.

To learn more about inequality from the given link
https://brainly.com/question/24372553
#SPJ9

In a case whereby there are 10 boys and 15 girls and the teacher chooses a student by random, then the probability that a boy will be chosen is 2/5 which means Jenny is right.

Since there are  there are 10 boys and 15 girls, then the total number of the population will be (10+15)=25

Then the probability of that a boy will be chosen if one of them is been chosen at random will then be =10/25 = 2/5

Therefore, Jenny is very correct because the  probability of that a boy will be chosen if one of them is been chosen at random will then be 2/5.

Learn more about probability at:

https://brainly.com/question/24756209

#SPJ1

Point slope form of the equation through the points (6, 10) and (3, 5)  is y - 5 = 5/3 (x - 3)

Point slope form:

The point slope form of equation is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

The general form of the equation is

(y - y1) = m (x - x1)

y = y coordinate of second point

y1 = y coordinate of point one

m = slope

x = x coordinate of second point

x1 = x coordinate of point one

Given,

Here we have the points  (6, 10) and (3, 5).

Through the given points we have to find the point slope form of the equation.

To find the point slope of the equation, first step is to find the slope of those points,

It can be calculated using the formula,

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

Where the values of (x1,y1) is (6,10) and the values of (x2,y2) is (3,5).

Then the value of slope after applying the values,

m = (5 - 10)/(3-6)

m = -5/-3

m = 5/3

Use the slope and a given point (3,5) to substitute for x1 and y1 in the point-slope form

y−y1=m(x−x1),

which is derived from the slope equation.

Then we get the equation as,

y - 5 = 5/3 (x - 3)

Therefore, the point slope form equation is y - 5 = 5/3 (x - 3).

To know more about Point Slope form here.

https://brainly.com/question/12743204

#SPJ1

The length, width and height of the cuboid are measured to the nearest cm, volume = length x width x height,  the lowest possible value of the volume of the cuboid is [tex]cm^{3}[/tex].

Volume is measurement of three-dimensional space that is occupied. Numerous imperial units or the SI-derived units, such as the cubic meter and liter, are frequently used to quantify it numerically (such as the gallon, quart, cubic inch). Volume and length (cubed) have symbiotic relationship. The volume of a container is typically thought of as its capacity, not as amount of space it takes up. In other words, volume is the amount of fluid (liquid or gas) that the container may hold.

Volume was initially measured using naturally occurring vessels of a comparable shape and then with standardized containers. Arithmetic formulas can be used to quickly calculate volume of several straightforward three-dimensional shapes. If a formula for the shape's boundary is known, it is possible to use integral calculus to determine volumes of more complex shapes. No object in the dimensions of zero, one, or two has volume; in the dimensions of four and above, the hypervolume is a concept similar to the standard volume.

Volume = 7cm*4cm*9cm = 252[tex]cm^{3}[/tex]

To know more about volume visit: https://brainly.com/question/13338592

#SPJ9

The value of the trignometric expression sin(a+b) is 0.3.

Given the trignometric equations sin a + cos b = -0.2 and sin b + cos a = 1.6

So, squaring both equations and adding them

we have

[tex](sin a + cos b)^2 = -0.2^2\\(sin a + cos b)^2 = 0.04\\sin^2a+cos^2b + 2 sina cos b= 0.04\\(sin b + cos a)^2 = 1.6^2\\sin^2b+cos^2a + 2 sinb cos a= 2.56\\\\[/tex]

adding both equations

[tex]sin^2a+cos^2b + 2 sina cos b + sin^2b+cos^2a + 2 sinb cos a= 0.04+2.56\\[/tex]

1+1+2( sina cos b + cos a sin b)= 2.6

2( sina cos b + cos a sin b) = 0.6

( sina cos b + cos a sin b) = 0.3

We know that sin(a+b)= ( sina cos b + cos a sin b)

So,

sin(a+b)=0.3

Therefore, the value of sin(a+b)  = 0.3

Learn more about trignometry here

https://brainly.com/question/17081568

#SPJ1

The ratios 9:6 and 12:8 does not form a proportion, since the products of the two are not equal.

Given we have two ratios:

9:6 and 12:8

An equation in mathematics that shows that two ratios expressed in fraction form are equivalent is known as a proportion. The rule that says a/b= c/d if and only if ad=bc allows us to assess whether two ratios, a: b and c: d, constitute a proportion.

To determine if 9:6 and 12:8 form a proportion, we use the rule of proportion.

That is, 9/12 = 8/6

If only if 9×6=12×8

Therefore,  9×6=54

and 12×8=96

since these two products are not equal, we have that 9:12 and 8:6 do not form a proportion.

Hence the ratios 9:6 and 12:8 are not in proportion.

Learn more about ratio and proportion here:

brainly.com/question/19994681

#SPJ1

Answer:

Step-by-step explanation:

The initial depth is 100 feet below sea level or 100 ft.

Diving rate is 50 feet per minute or 50 ft/min.

The diving rate is the independent variable, which is:

The depth at any point is the dependent variable, which is different after number of minutes, in ft.

The equation of the line is:

Answer:

Independent variable: Time in minutes

Dependent variable: The elevation in feet

Slope: -50

Y-Intercept: -100

Step-by-step explanation:

Just did the assignment

Answer:

17052 1/2

You're Welcome

From the characteristics of the given cylinder, we have that:

a) The equation is h = 15 - 2r.

b) The volume of the cylinder is of V = πr²(15 - 2r).

c) The values of r should be in the range of 0 < r < 7.5.

The volume of a cylinder of radius r and height h is given according to the following equation:

V = πr²h.

The sum of the height and the diameter is of 15 feet, hence:

h + d = 15.

The diameter is twice the radius, hence:

h + 2r = 15.

For item a, the solution of h in terms of r is:

h = 15 - 2r.

Hence, in item b, the equation is:

V = πr²h.

V = πr²(15 - 2r).

For item c, there are two constraints, as follows:

More can be learned about the volume of a cylinder at https://brainly.com/question/9554871

#SPJ1

The addition of the two negative numbers has a result of -3/2, and is illustrated on the number line given at the end of the answer.

To add two negative numbers, we keep the negative signal and then we add the quantities, that are represented by the numbers without the signal.

For this problem, the numbers are given as follows:

Hence the addition of the negative numbers is given as follows:

-4/3 - 1/6 = -8/6 - 1/6 = -9/6 = -3/2.

The result is of -3/2.

As for the number line, we have two negative numbers, hence each increment is to the left of the number line. The sum of the two increments, starting at zero, of 1/6 and of 4/3, combine to 3/2, as given by the image at the end of the answer.

More can be learned about the addition of the two negative numbers at https://brainly.com/question/604854

#SPJ1

Answer:

distance: 11

there are 11 points between 12 and 23, they are:

12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 and 23.

Step-by-step explanation:

Answer:

0.00578034682

Step-by-step explanation:

9/1557

keep on adding .0 to the end of your number.

You will eventually get the answer.

Answer:

173.

Step-by-step explanation:

The expression is multiplied to give 1728x^6

Index forms are simply defined as the power or exponent of a variable, number or element.

It is also seen as an arithmetic method of writing numbers that are too large or too small into simpler forms.

The rules of exponents are;

Given the expression;

2^3x^3.6^3x^3

We have to determine the product of the index forms

First, we have to multiply the numbers, we have;

2^3 = 2 × 2 × 2 = 8

6^3 = 6 × 6 × 6 = 216

Now, substitute the values

8x³ × 216x³

Multiply through

1728x^3 + 3

1728x^6

Thus, the value is 1728x^6

Learn more about index forms here:

#SPJ1

Answer:

b = 13.5

Step-by-step explanation:

There are different ways you can solve this equation. Let me know if you'd like to know a different way.

Have a Good Rest of Your Day.