2x+5/3=8 solve this equation

The equation of line for the given data is y = 5x -1.

According to the given question.

We have a data of points for a equaton of line.

As we know that the standard equation of line is y = mx + b.

Where, m is the slope of line and b is the y intercept.

Since, the points which are given in the data must satisfy y = mx + b.

Therefore,

Lets take the points (1, 4) and (2, 9) and substitute it in y = mx + b to find the value of m and b.

At x = 1 and y = 4

4 = m + b ..(i)

And at x = 2 and y = 9

9 = 2m + b ..(ii)

From equation i and ii

m = 5

So, b = -5 + 4 = -1

Hence, the equation of line for the given data is y = 5x -1.

Find out more information baout equation of line here:

https://brainly.com/question/21511618

#SPJ1

If Sanjay bought 14 T-shirts, he paid $133.

Given:

Equation=c = 9.5t

Number of T-shirt=14

Where:

c=Total cost

t=Number of T-shirts

Hence:

Total cost=9.5t

Total cost= 9.5(14)

Total cost=$133

Therefore If Sanjay bought 14 T-shirts, he paid $133.

Learn more about total cost here:https://brainly.com/question/25109150

#SPJ1

I'm going to try my best to explain 90° rotation:

So, you know that if you rotate something 180°, it's completely flipped (think about spinning around half-way).

Or if you spin something 360°, you spin around the whole way and end up in the same spot that you did when you started.

Notice how 90 is actually 1/4 of 360.

So imagine spinning instead of 180, spinning half of that. so you barely rotate. That's exactly what you're doing to this shape here. and if you do it about the origin counterclockwise, the origin is (0,0) so I drew it in Quadrant III, as you can see in my attachment.

You can see that every point has been moved by 90°, I put all of the variables there so you could visualize it better!

I hope this helped, let me know if you have any questions! :)

The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

To learn more about the solution of an equation from the given link

https://brainly.com/question/22688504

#SPJ1

Step-by-step explanation:

yes, the step is correct.

a² = cx | multiply by c

ca² = c²x

I am just not sure how that simplified the equation.

what do you want to achieve ? what's the goal here ?

to solve the equation for x it would be to divide both sides by c, which gives

a²/c = x

Answer: x = 6

Step-by-step explanation:

18x - (8x - 7) = 67

18x - 8x + 7 = 67

10x + 7 = 67

10x = 60

x = 6

Answer:

The value of x is 6.

Step-by-step explanation:

Given equation,

→ 18x - (8x - 7) = 67

Now the value of x will be,

→ 18x - (8x - 7) = 67

→ 18x - 8x + 7 = 67

→ (10x) + 7 = 67

→ 10x = 67 - 7

→ 10x = 60

→ x = 60/10

→ [ x = 6 ]

Hence, the value of x is 6.

Answer:

a=250

b=10

done...

Answer:

Ok to find the surface area of this cylinder first we need the circumference to find this we do C=πd

C=3.14*18

C=56.52

now we have to multiple this by the height of two

113.04

now we have to find the area of the bottom to do this we do A=πR^2

A=3.14*81

A=254.34

multiple this by two for the two sides we get

508.68

now we add this to 113.04 we get

621.72

since I used 3.14 instead of more digits of pie we can round this up so the answer is C.

Your Welcome

BIFFY OUT!!!

Answer:

it would take approximately 38ish minutes. He takes 38 minutes a field

Step-by-step explanation:

The total money spent on a pass and lunch for each student is $850.14.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

here,

As mentioned in the question, Passes for 28 pupils and 4 teachers cost the school $778.88 and the school also spends $241.64 on lunch for kids only.

Total number of person  = 28 + 4
                                     = 32
Cost per pass = 778.88 / 32
                     = $24.34
Total passes of students = 25 × 24.34 = 608.5
Total spend on lunch of student = 241.64
Total spend on lunch = 241.64 + 608.5 = $850.14

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ1

If we let y represent the total number of apples and x represent the number of people, we have two equations:

     y = 3x + 6

     y = 5x - 2

Solving this system, we have

     3x + 6 = 5x - 2

             8 = 2x

             4 = x

This is says there are 4 people and 18 apples.

Answer:

Each square on the travel chessboard is 0.75 inches by 0.75 inches

Step-by-step explanation:

A scale factor of 1/3 when dilating means that we divide 2.25 by 3. That equals 0.75 :)

Answer:

29

Step-by-step explanation:

Do what is inside the parentheses first

3(-3)^2+10/5

then simplify the exponents

3(9)+10/5

from left to right, solve multiplication and division

27+2

add

29

Answer:

x = 68

Step-by-step explanation:

X + 22 = 90 degrees

90 - 22 = 68 degrees

Answer:

  76 units

Step-by-step explanation:

You want the length of AC in the given triangular pyramid.

The Pythagorean theorem can be used to find the lengths of AD and CD.

  AD² + 40² = 41²

  AD² = 41² -40² = 81 . . . . . = 9²

and

  CD² +40² = 85²

  CD² = 85² -40² = 5625 . . . . . = 75²

It can also be used to find AC:

  AD² + CD² = AC²

  81 + 5625 = AC²

  AC = √5706 = 3√634 ≈ 76

The length of side AC is about 76 units.

__

Additional comment

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs of a right triangle.

<95141404393>

Answer:

1

Step-by-step explanation:

The given two triangles JKL and MNO are equal and congruent (ΔJKL ≅ ΔMNO) by the theorem of Option C - SAS.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

Two triangles JKL and MNO are given.

According to the given triangles it can be seen that -

In ΔJKL and ΔMNO, the line segment KL and line segment MN are equal respectively.

Mathematically this can be represented as -

KL = MN

Similarly, in ΔJKL and ΔMNO, the line segment JL and line segment MO are equal respectively.

Mathematically this can be represented as -

JL = MO

Now, in ΔJKL and ΔMNO, the angle JLK and angle OMN are equal respectively.

Mathematically this can be represented as -

∠JLK = ∠OMN

So, the triangles JKL and MNO are equal and congruent by SAS theorem.

According to SAS theorem, two triangles are said to be congruent if their two sides are equal to the sides of another triangle and their respective angles are also equal.

Therefore, the two triangles are equal and congruent by SAS theorem.

To learn more about triangles from the given link

https://brainly.com/question/25215131

#SPJ1

Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

For more such questions on interest rates, click on:

https://brainly.com/question/25720319

#SPJ8

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

More can be learned about the circumference of a circle at brainly.com/question/12823137

#SPJ1

English literature refers to the body of written or literary works composed in the English language.

It encompasses a wide range of literary genres, styles, and periods, and it has a rich and diverse history that spans centuries.

English literature includes literary works originating from countries like England, the United States, Canada, Australia, and other English-speaking regions.

English literature plays a significant role in the cultural and literary heritage of English-speaking societies, and its influence extends globally. Studying English literature allows individuals to explore different themes, ideologies, and literary techniques while gaining insights into the human condition across various historical and cultural contexts.

To know more about literature here

https://brainly.com/question/1374432

#SPJ2

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

For more questions on Function .

https://brainly.com/question/11624077

#SPJ8

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

In fraction form, the answer is 1/4, which represents the simplified probability of the given event occurring.

To find the probability of picking a prime number and then picking another prime number, we first need to determine the total number of possible outcomes and the number of favorable outcomes.

Given the four numbers: 5, 6, 7, and 8, we can see that there are two prime numbers (5 and 7) and two non-prime numbers (6 and 8).

The total number of possible outcomes is 4 since there are four cards to choose from.

Now, let's consider the favorable outcomes, which are picking a prime number and then picking another prime number.

The probability of picking a prime number on the first draw is 2/4, as there are two prime numbers out of the four total cards.

Since we replace the card before the second draw, the probability of picking a prime number on the second draw is also 2/4.

To find the probability of both events occurring, we multiply the individual probabilities:

(2/4) * (2/4) = 4/16 = 1/4

Therefore, the probability of picking a prime number and then picking another prime number is 1/4.

For more such questions on probability

https://brainly.com/question/24756209

#SPJ8

The sum of the scores is equal to 160.

In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the mean for this set of scores can be calculated by using the following formula:

Mean = [F(x)]/n

For the total number of scores (data set), we have;

∑x = 20 + 60 + 30 + 50

∑x = 160.

Mean = [F(x)]/n = 160/4 = 40.

Read more on mean here: brainly.com/question/9550536

#SPJ1

Answer:

D. 2^2+1.7^243+40−−−−−√

Step-by-step explanation:

The computation is shown below:

Given that

Sample 1

n_1 = 43

mean  = 18

s_1 = 2

Sample 2

n_2 = 40

mean = 20

s_2 = 1.7

Now the standard error is

\(= \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } \\\\= \sqrt{\frac{2^2}{43} + \frac{1.7^2}{40} }\)

= 0.4065

[~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T by substituting the propositional variables.

A truth table is a table used to determine the truth values of a compound proposition, which is a logical statement made up of simpler propositions using logical operators such as "and" (represented by "&"), "or" (represented by "V"), "not" (represented by "~"), conditional (represented by "⊃"), and biconditional (represented by "≡").

Let's substitute the given truth values for the propositional variables in the given statement:

[~F & (F V F)] ≡ (T ⊃ F)

Using the truth table for conjunction (represented by "&") and disjunction (represented by "V"), we can simplify the left-hand side of the equivalence:

[T & F] ≡ (T ⊃ F)

Using the truth table for conditional (represented by "⊃"), we can simplify the right-hand side of the equivalence:

F ≡ F

Since both sides of the equivalence have the same truth value, the statement is true.

Therefore, [~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T.

Learn more about truth table visit:

https://brainly.com/question/29155453

#SPJ1