Where did Nathan make a mistake?
In Step 1, Nathan did not multiply
both terms in parentheses by-3.
In Step 2, Nathan did not simplify
5x 3x correctly.
In Step 3, Nathan did not divide
by the correct number.
In Step 4, Nathan did not simplify
correctly.
<->) -24
8

Answer:

83°

Step-by-step explanation:

-4m+51-4m+42= 158°

-8m+94= 158

-8m= 64

m= -8

JMK= -4m+51

      = -4(-8)+51

      = 32=51

      = 83°

If you have $82 in your bank account and you write checks for $54, $35, and $15, then the total amount you have written in checks is $54 + $35 + $15 = $104.

So the remaining balance is $82 - $104 = -$22, which means you are now overdrawn.

After you deposit $35 and $42, the new balance will be $82 - $22 + $35 + $42 = $155

So after the deposit, the account balance is $155

It is important to keep track of your bank account balance, if you do not have enough funds in the account and the check you wrote is cashed the bank will bounce the check and incur additional fees.

The point shown on the graph is

(4, -5, 6)

An ordered triplet of lines (the axes) that are pair-wise perpendicular and pass through the same point (the origin) make up a Cartesian coordinate system for a three-dimensional space.

Each axis also has an orientation, and the length of all three axes is equal.

In ordered triplet, the order of the axis is (x, y, z)

z is vertical up positive and down negative

y is horizontal right is positive and left is negative

x is the axis pointing to us which is positive pointing away is negative

Using this information, to trace the point shows that the point marked by a dot is  (4, -5, 6).

Learn more about ordered triplet at:

https://brainly.com/question/29601205

#SPJ1

On solving the provide question, we can say that - the quadratic equation [tex](6a^2 + 4b)(a^2 - b)[/tex] = -4

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

here, we have

[tex](6a^2 + 4b)(a^2 - b)[/tex]

a = 0 and b = 1

-4

To know more about quadratic equation visit:

https://brainly.com/question/30098550

#SPJ1

An equation is y = -4x/3 + 10.

A graph of the equation is shown in the image attached below.

In order to write and graphically solve an equation that model this situation, we would assign variables to the number of pound of peaches and number of pounds of apples respectively, and then translate the word problem into algebraic equation as follows:

Next, we would translate the word problem into an algebraic equation as follows;

$2/pound × Pounds of peaches = 2x.

$1.50/pound × pounds of apples = 1.50y

Combining the two expressions above, we have the following:

2x + 1.50y = 15

Making y the subject of formula, we have:

1.50y = 15 - 2x

y = (15 - 2x)/1.50

y = -4x/3 + 10

Therefore, an equation in slope-intercept form that relates the variables is y = -4x/3 + 10.

Read more on equation here: brainly.com/question/18912929

#SPJ1

Answer:

The graph of the equation "y - 1 = (x - 3)" is a straight line.

To graph this equation, we can start by rearranging the equation to get "y = x - 3 + 1". This simplifies to "y = x - 2".

This equation is in slope-intercept form, which means that the slope of the line is given by the coefficient of the x term, and the y-intercept (the point where the line crosses the y-axis) is given by the constant term. In this case, the slope is 1 and the y-intercept is (-2, 0).

To graph the line, we can start by plotting the y-intercept at the point (0, -2). Then, we can use the slope of 1 to find a second point on the line and draw a straight line through these two points. The graph of the equation "y = x - 2" is shown below:

[asy]

unitsize(1.5cm);

draw((-1.5,0)--(1.5,0));

draw((0,-2.5)--(0,2.5));

draw((-1.5,-2)--(1.5,2),dashed);

label("$x$", (1.5,0), E);

label("$y$", (0,2.5), N);

[/asy]

The graph of the equation "y - 1 = (x - 3)" is the same as the graph of the equation "y = x - 2", except that all the y-values on the graph are increased by 1. This means that the graph of the equation "y - 1 = (x - 3)" is obtained by shifting the graph of "y = x - 2" upward by 1 unit. The graph of the equation "y - 1 = (x - 3)" is shown below:

[asy]

unitsize(1.5cm);

draw((-1.5,0)--(1.5,0));

draw((0,-2.5)--(0,2.5));

draw((-1.5,-1)--(1.5,3),dashed);

label("$x$", (1.5,0), E);

label("$y$", (0,2.5), N);

[/asy]

The answer choices given in the question do not match the description of the graph of the equation "y - 1 = (x - 3)". "O" does not match the description of the graph, as it is not a graph of a straight line. "(-31)" and "10" do not match the description of the graph, as they are not graphs at all. "CO" does not match the description of the graph, as it is the graph of a circle, not a straight line. "8" does not match the description of the graph, as it is the graph of an exponential function, not a straight line. "fi" does not match the description of the graph, as it is not a graph of a function. "Q" does not match the description of the graph, as it is not a graph at all. "4." does not match the description of the graph, as it is not a graph of a function. "y" does not match the description of the graph, as it is not a graph at all.

The expression which could be used to determine the product of -4 and 3 and one-fourth as required is; negative 4) (3) + (negative 4) (one-fourth).

As evident in the task content; the expression which could be used to determine the product of; -4 and 3 and one-fourth is required to be determined.

Since the given expression is; -4 and 3 and one-fourth; we have that;

-4 × 3 ¼

However, since 3 ¼ can be written as; ( 3 + ¼ ), it follows that we have;

-4 × ( 3 + ¼ )

Ultimately, the resulting expression using the distributive property is;

( -4 ) ( 3 ) + ( -4 ) ( ¼ )

Therefore, the correct answer is; (negative 4) (3) + (negative 4) (one-fourth).

Read more on distributive property;

https://brainly.com/question/2807928

#SPJ1

Answer: Both Rick and Jenny could be correct because we do not know what "x" is.

Step-by-step explanation:

The purpose of the variable "x" is to substitute it for an unknown number. Since we do not know what "x" is we can not solve the equation. We can only add like terms.

I hope this helps :)

The prime factorization of 72 using exponential notation is 2³ x 3².

Prime factorization is a process of writing all numbers as a product of primes.

Given:

Prime factorization is representing a number in form of products of its primes.

Consider the given number 72

72 = 2 x 2 x 2 x 3 x 3

So, 72 can be written as 2 × 2 x 2 × 3 × 3.

Thus, exponential notation it can be written as 2³ x 3².

Also, Simplifying 12 /16 as

= 12/16

= 3/4

and, the equivalent fraction whose denominator is 32.

Then, 3/4 = x/32

4x = 96

x = 24

Learn more about Prime Factorization here:

https://brainly.com/question/29775157

#SPJ1

Answer:

32

Step-by-step explanation:

Let's start with x to the third power. x=4 So that would be 4 to the third power. that would be 4x4=16.  16x4=64. So that would be 1/2*64. That equals 32

The fraction of the entire bulletin board decorated by each classmate is N/20.

Fraction is a mathematical expression which is made up of denominator and a numerator. So that fractions may generally be categorized into 3 types. These are: proper fraction, improper fraction, and mixed fraction.

Considering the given question, let the size of the bulletin board be represented by N.

The section of the bulletin board to be decorated = 1/5 * N

                                                                       = N/ 5

There are 4 classmates that has been selected to divide the section to be decorated equally among themselves. So.

Fraction of the board to be decorated by each student = (N/ 5)/ 4

                                                                             = 1/20 N

The fraction of the board to be decorated by each student is N/20.

Learn more about fraction of a given number at https://brainly.com/question/25896303

#SPJ1

On solving the provided question, we can say  that -  the linear equations, is [tex]x =10 / 5 = 2 = > x=2[/tex]

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

Here,

to solve the system of equations given. .

[tex]2x + y = 4 \\+\\3x - y = 6\\= > 5x =10[/tex]

system of equations  2x + y = 4  ,

6=3x-y is 5x =10

The value of x :

[tex]x =10 / 5 = 2\\ x=2[/tex]

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ1

-1 on the left x-axis and 4 on the right y-axis.

Start at -2 on the y-axis, move up the y-axis six times, and you should arrive at 4. However, you must identify the first line in order to complete the puzzle.

Start at -2 on the y-axis, count up until it is on a corner of the graph, then move 4 up on the y-axis and once to the right, making the fraction 4/1.

Since you should be at 4, apply the formula rise/run 4/1 to ascend 6 on the y-axis.

step 1: ascend the y-axis six times.

Step 2: Use 4/1 to increase from the y-4 axis's by 1  to the right

To learn more about graphs from given link

https://brainly.com/question/17144308

#SPJ1

For the given graph, the domain and range of the relation equals [-4, 6].

A collection of ordered pairs having one item from each set makes up a relation between two sets. If the ordered pair (x,y) is present in the relation and the objects x and y come from different sets, then the objects are said to be connected. One kind of relation is a function.

In other words, the ordered pair collection, where the ordered pair is made up of an object from each set, is used to define the relationship between the two sets. As an illustration, consider the set notation symbols (-2, 1), (4, 3), and (7, -3) with curly brackets.

To learn more about relations from given link

https://brainly.com/question/29236632

#SPJ1

Answer:

96

Step-by-step explanation:

24 divided by 1/4 is 96

you turn 24 into a fraction by putting a one under is and then you keep it change it flip it

24/1 Divided by 1/4

24/1 times 4/1

24 times 4= 96

1 times 1= 1

96/1=96

The cost c in pounds of hiring a van is 235

The cost c in pounds for 1 day =45

Then cost c in pounds for  five days is c=10+45d

Which is multiple 5 days to the 45

5 x 45 = 225

Add the 10 to the answer

225 + 10 = 235

The cost  of a van hiring for number of days is 5

Then the final answer for cost c in pounds of hiring a van for five days are 235

To know more about cost on

https://brainly.com/question/15718779

-2

Step-by-step explanation:

12x＝x+26

-13x＝26

x＝-2

"Mark as brainiest". Click on the option to mark it the best answer.

The site has a Brainly Basic free option, plus a Brainly Plus paid upgrade where users can ask priority questions and receive verified answers, but there's no option to filter out the unverified answers for browsing or searching.

You can filter your search by subject, grade level, or status by clicking on the list of Subjects on the left, or by school level or status from the grey drop-down list in the middle of the page.

Brainly, at its most simple, is a peer-to-peer network of questions and answers. The idea is to help students with homework questions by using others who may have already answered that question.

To be clear, this isn't a set of answers laid out or a group of professionals giving answers. Rather, this is an open forum-style space in which students can post a question and, hopefully, get an answer from the community of others in education.

To learn more about mark Brainly refer to:

https://brainly.com/question/30119734

#SPJ1

Answer:

Here is an example. Check out the uploaded image.

Step-by-step explanation:

Draw Points   XY  using a Straight Line

Draw a bisector in the middle of the line

Repeat Procedure for lines XZ  and YZ

Where the two lines meet is the Center

Extend the compass from the center to any point and complete the circle.

The complete table is given in the solution.

A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.

Given that, at Disneyland there are 300 girls go on the ride and 500 boys go on the ride this represents the ratio of girls and boys that go on the ride

The ratio of girls to boys = 3:5

Therefore, The complete table is as follows:-

    Girls                                     Boys                                     Total

     3                                             5                                             8

     6                                             10                                           16

     12                                            20                                          32

     30                                           50                                          80

     300                                         500                                      800

     480                                         800                                      1280

Hence, the complete table is above

For more references on ratios, click;

https://brainly.com/question/13419413

#SPJ1

Answer:

26

Step-by-step explanation:

if she is 8 years older, then is just 34-8 which is 26

The trigonometric ratios for the angle x in the triangle are given as follows:

The three trigonometric ratios are defined as follows:

In the right triangle in this problem, we have that d represents the hypotenuse, while the sides relative to angle x are given as follows:

These sides are used along with the definitions of each ratio to give the three trigonometric ratios of angle x.

More can be learned about trigonometric ratios at brainly.com/question/24349828

#SPJ1

Answer:

Step-by-step explanation:

Its A

The cookies that each person bake will be:

A = 4 1/2 dozen cookies

B = 6 3/4 dozen cookies

C = 15 3/4 dozen cookies.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.

Person A baked 4 1/2 Dozens of cookies for a bake sale. Person B Baked 1 1/2 as many as Person A. This will be:

= 1 1/2 × 4 1/2

= 6 3/4

Person C Baked 2 1/3 as many as Person B. This will be:

= 2 1/3 × 6 3/4

= 7/3 × 27/4

= 15 3/4

Learn more about fractions on

brainly.com/question/78672

#SPJ1

Answer: 630

Step-by-step explanation:

Evaluate 9du when d=10 and u=7

⇒9du

input the values of d and u

⇒9 (10)(7)

⇒9 × 10 × 7

⇒630 answer.

hope that helps...

Answer:

630

Step-by-step explanation:

as the problem shows that the variable for d = 10, and u = 7.

it asked to solve 9du (or 9 × d × u )

we can plug in the numbers into the variables:

9 × 10 × 7

9 × 10 = 90 × 7 = 630

Sodium has two radioactive cosmogenic isotopes (22Na, half-life = 2.605 years; 24Na, half-life = ~ 15 hours) that have been used as tracers in hydrologic studies.

Sodium-24, a radioactive isotope having a half life of 15 hours is used medically in blood studies and it decays by beta decay.

Na has received considerable attention in hydrologic research because it is a mobile element that participates in precipitation and dissolution reactions in ground water (clay formation, albitization of plagioclase). Their short half-lives (i.e. high decay rate) make their measurement relatively easy by common radioanalytical techniques.

Substantial concentrations of 22Na and 24Na have been measured in precipitation (Roedel, 1970; Perkins et al., 1970). However, no studies have as yet been published documenting the cosmogenic sodium systematics in ground or surface waters.

To learn more about Sodium-24 refer to:

https://brainly.com/question/15358426

#SPJ1

Answer:

D

Step-by-step explanation:

first simplify everything

2/9v + 1/3v - 5/9

A and B is wrong because it is - 5/9 not + 5/9

C is wrong because it is -1/3v not 1/3, it is supposed to be - 5/9

You can solve this problem without much solving

hope this helps :)