Solve for x: 4(×+10)-3=2x+13

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

point (3 , 0)

slope = 5/3

Step 02:

equation of the line:

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

(y - 0) = 5/3 (x - 3)

Slope-intercept form of the line

y = mx + b = 5/3 x - 5

The answer is:

y = 5/3 x - 5

Answer:

helps*

Step-by-step explanation:

Answer:

16) a)

     b) >.

     c) 3  (3 raised to the power 3).

17) i m not sure but the answer is 500..

exponential form of 500 = 2 raised to 2  X 5 raised to 3.(not sure)

18)

19)

20) 1.

I hope this helps you... sorry i just know these answers!!

\(number \: of \: performances = 9 \\ note = \\ one \: insists \: on \: being \: last \\ number \: of \: flexible \: performances = 9 - 1 = 8 \\ \\ c( \gamma ) = 8P8 \times 1 \\ c( \gamma ) = 8! \\ c( \gamma ) = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 \\ c( \gamma ) = 40320 \: ways\)

Answer:

$6.74

$242.78

Step-by-step explanation:

A

$53.95 ÷ 8 = $6.74

B

3 × 12 = 36

36 ÷ 8 = 4.5

4.5 × 53.95 = 242.775

$242.78

Answer:

Let's say you sold some goods to a customer. If the customer is not satisfied with the goods and returns it back to you, then it is called sales return.

The important variables are the two types of test questions which can be represented as :

Variables are used to represent unknown values which could be worked out in a mathematical expression or problem.

The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer

Therefore, the correct option is C. m for multiple choice, s for short answer

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The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

Given that (5*x) mod 91 =32.

To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.

Consider  (5*x) mod 91 =32.

5x = 32(mod 91)

Apply the Euclidean algorithm to find GCD of 5 and 91 is

91 = 18 * 5 + 1.

Rewrite it in congruence form,

1 = 91 - 18 *5

On simplifying the equation,

1 = 91 (mod 5)

The modular inverse of 5 modulo 91 is 18.

Multiply equation by 18 on both sides,

90x = 576 (mod91)

To obtain the smallest positive  solution,

91:576 = 6 (mod 91)

Divide both sides by the coefficient of x:

x = 6 * 90^(-1).

Apply the Euclidean algorithm,

91 = 1*90 + 1.

Simplify the equation,

1 + 1 mod (90)

The modular inverse of 90 modulo 91 is 1.

Substitute the modular inverse in the given question gives,

x = 6*1(mod 91)

x= 6 (mod91)

Therefore, the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

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Answer:

False

Step-by-step explanation:

This is false although most prime numbers are not divisible two, but there is one exception to this... the number 2! The number 2 is prime and is divisible by 2. All other prime numbers cannot be divisible by 2 otherwise they would not be prime as prime numbers are only divisible by 1 and the number it self (this excludes 1).

Answer:

-24

Step-by-step explanation:

Answer: -24

Step-by-step explanation:

Answer:

17.1

Step-by-step explanation:

The number of tomatoes that are expected in the 90–100 gram category is 17 in a sample of 50 tomatoes.

A z-table also known as the standard normal distribution table, helps us to know the percentage of values that are below (or to the left of the Distribution) a z-score in the standard normal distribution.

As it is given that the mean of the tomatoes is 100 grams, while the standard deviation is 10 grams. Also, it is given that the distribution is normally distributed. therefore, the probability that the tomatoes will be in the range of 90–100 gram category is,

\(P(90 < X < 100)=P(X < 100)-P(X < 90)\)

                            \(=P(z < \dfrac{100-100}{10})-P(X < \dfrac{90-100}{10})\\\\=0.5 - 0.1587\\\\= 0.3413\)

Thus, the percentage of tomatoes that will weigh between 90-100 grams is 34.13%.

Now, as the sample is of 50 tomatoes, therefore, the number of tomatoes should you expect in the 90–100 gram category, assuming that the farmer’s claim is true are

\(34.13\%\ \ of\ 50\\\\=\dfrac{34.13}{100} \times 50\\\\= 17.065 \approx 17\)

Hence, the number of tomatoes that are expected in the 90–100 gram category is 17 in a sample of 50 tomatoes.

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Answer:

I don't know it may be 75 but if jot I'm very sorry

Answer:

  see below

Step-by-step explanation:

The equations you have are in "slope-intercept form." The slope of the line is the coefficient of x. The y-intercept is the added constant.

Both the slopes and intercepts take on the values ±2 and ±1/2. This requires that you understand what each value looks like on the graph.

A slope of 2 will have a rise of 2 units for each run of 1 unit to the right. A graph with a slope of 2 will have a relatively steep line going upward to the right. (A slope of -2 will be a steep line going downward to the right.)

Similarly, a slope of 1/2 will have a rise of 1 unit for each two units to the right. A line with this slope will go up to the right with a less-steep rise. There is only one graph in the group with a slope of 1/2. Of course, a line with a slope of -1/2 will have a shallow angle down to the right.

__

The y-intercept is where the line crosses the y-axis (the dark vertical line in the middle of the graph, labeled y). The y-intercepts at ±1/2 are somewhat difficult to determine for the steep lines. (A careful look is needed.) However, the y-intercepts of ±2 are easily seen for the shallow lines.

The various graphs are sorted in the attachment.

Answer:

\(3 \: {ft}^{2} \)

Step-by-step explanation:

Given:

A rhombus

The diagonals would be AH and MT

AH = 2 ft

MT = 3 ft

Find: A (area) - ?

\(a = \frac{ah \times mt}{2} = \frac{2 \times 3}{2} = \frac{6}{2} = 3 \: {ft}^{2} \)

Answer:

Modus Tollens

Step-by-step explanation:

Consider the following argument: If we put all thirty-two volumes of the Encyclopedia Britannica on the top shelf of the bookcase, the bookcase collapses. We do not put all thirty-two volumes of the Encyclopedia Britannica on the top shelf of the bookcase. Hence, the bookcase does not collapse.

The logical form of this argument is Modus Tollens.

Modus Tollens is a mode of argumentation that involves affirming the consequent of a conditional statement. In this argument, the conditional statement is "If we put all thirty-two volumes of the Encyclopedia Britannica on the top shelf of the bookcase, the bookcase collapses." The antecedent of this statement is "we put all thirty-two volumes of the Encyclopedia Britannica on the top shelf of the bookcase," and the consequent is "the bookcase collapses."

Modus Tollens is used to prove the negation of the consequent by negating the antecedent. In other words, if the consequent is not true, then the antecedent must also not be true. Thus, in this argument, since we know that the bookcase does not collapse, we can conclude that we did not put all thirty-two volumes of the Encyclopedia Britannica on the top shelf of the bookcase.

Therefore, the logical form of this argument is Modus Tollens.

Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.

Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.

What is an Angle?

An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths

To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:

Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.

Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees

Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees

Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

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The sum is:

The difference is:

The product is:

The quotient is:

Answer:

Entrance fee for children: $1.92

Entrance fee for adults: $3.92

Step-by-step explanation:

Total expenses for this year: $214.00

The child fee will be: $x

and the adult fee will be $(x+2)

Last year the number of children was 44

and the number of adults was 33

this year also has the same number of children and adults.

which means the entrance fee total for children will be $44x and for adults will be $33(x+2).

44x + 33(x+2) = 214

--> 44x + 33x + 66 = 214

--> 77x = 214 - 66 = 148

--> x = 148/77 = 1.92

So children's price is $1.92 and adults price is $1.92 + 2

hence:

Entrance fee for children: $1.92

Entrance fee for adults: $3.92

The total number of student are: 260 students

and the total number of student that don't have either Spanish, Chemestry or math are: 5 students

so the probability is:

Answer:

5

Step-by-step explanation:

the quadrtic formula says the x=y=z but it also argues

Answer:

4: [52, 58]

5:  16 ≤ y ≤ 50   where y is in km

Step-by-step explanation:

Answer: a

Step-by-step explanation:

Answer: i think the first thing is correct and the third thing is correct.

Step-by-step explanation:

The calculation of this can be done by first determining the future value of the monthly payments of $327.50

The future value of an annuity can be determined using a financial calculator, mathematical formula, or spreadsheet software. The future value of an annuity is calculated by multiplying the periodic payment amount by the future value factor,

which is based on the number of payments and the interest rate.For example, suppose we want to know the future value of a $500 end-of-month deposit into an annuity that pays 6% interest compounded monthly for five years.

The future value factor for 60 periods at 0.5 percent per month is 80.9747, which can be multiplied by the monthly deposit amount to find the future value of the annuity.500 × 80.9747 = 40,487.35

This means that a $500 end-of-month deposit into an annuity paying 6% interest compounded monthly for five years will have a future value of $40,487.35.

Therefore, to accumulate a $20,000 down payment for a home in five years, you would need to deposit $327.50 per month into the annuity.

 for 60 months using the formula and then solving for the monthly payment amount where FV = $20,000 and n = 60, r = 0.5%.FV = PMT [(1 + r)n – 1] / r$20,000 = PMT [(1 + 0.005)60 – 1] / 0.005PMT = $327.50 (rounded to the nearest cent).

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Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

What does the problem want us to find:

Let's gather the information:

  ⇒ the information given: y = 1/5 x - 8

        ⇒ the line is in slope-intercept form

            ⇒ means:

                     ⇒ coefficient in front of 'x' is the slope

                     ⇒ constant is the y-intercept

Answer:

Hope that helps!

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Hi!

The equation that we're working with is provided to us in Slope-Intercept Form:

        \(\diamondsuit~~~\large\boldsymbol{y=mx+b}\)

In the formula, the letter "m" denotes the slope, and it always comes before x; b is the y-intercept, and it's basically a number that is either added or subtracted from x.

Now let's identify the slope of the line given to us, that is:

\(\boldsymbol{\underline{\underline{y=1/5x-8}}}\)

Slope = number before x,

Y-intercept = number added/subtracted from the slope

Therefore,

\(\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Answers:}\begin{cases}\bold{Slope:\displaystyle\frac{1}{5}}\\\bold{Y-intercept:-8}\end{cases}}}}\)

I hope it helped! Let me know if you need any explanation or clarification! I'm always happy to help. :D

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Answer:

t = 8°

Step-by-step explanation:

We know that the sum of all the angles in a triangle is equal to 180°

Let's set up our equation => 18t + 36 = 180

Subtract 36 from both sides

18t = 144

t = 8

Thus, we have our answer