Your Assignment
Is x = 6 a solution to the equation 5(x – 3) = x + 13?
Follow the steps to find out.
1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. (2 points)

2. Simplify both sides. Show your work.

3. Is x = 6 a solution to the equation? Why or why not? (3 points

4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution. (3 points)
please help me!

Answer:

7% sales tax

Step-by-step explanation:

If the pencils cost $6, then the sales tax costs $6.42 - $6 = $0.42. To find the rate, we must divide $0.42 by $6. $0.42/$6 = 0.07. 0.07 is 7%.

If the sum of three successive integers even numbers is 6000, then their values must be 1998, 2000, and 2002.

In addition tangere is the root of the Latin word integer, which meaning "whole" and "untouched." The word "entire" is derived from the French word entier, which also means entire and integer. The expression was once used to describe a multiple of 1 or the whole part of a mixed number. The definition of the term was given as the collection of all positive integers, which is the same as the collection of all natural numbers. The concept of integer was expanded to include negative integers as the significance of those numbers came to be realized through time. For instance, in his 1765 book Elements of Algebra, Leonhard Euler stated that integers might contain both positive and negative values. Up until about the middle of the 20th century, most European mathematicians ignored negative numbers.

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The expression can be written as the trinomial below.

3x2 - 14x + 15

Here we just need to expand the expression:

(x - 3)*(3x - 5)

Just expanding that product we will get:

(x - 3)*(3x - 5)

x*(3x) - 3*(3x) + x*(-5) - 3*(-5)

3x^2 - 9x - 5x + 15

3x2 - 14x + 15

So we have 3 terms now, thus, this is a trinomial.

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Answer:

Step-by-step explanation:

For example, we have 8, which is not a perfect square

square root of(8)

we divide 8 by prime numbers, until it gets to 1

8/2

4/2

2/2

1

We have divided our number 8 with 2 by 3 times.

Now we pair the numbers.

2 with 2, and the third 2 remains.

the pairs will be in front of the squareroot, and what remains will remain in the squareroot.

squareroot(8) = 2[tex]\sqrt{2}[/tex]

Let's take another number

32

Divide it in prime numbers

32/2

16/2

8/2

4/2

2/2

1

We have 2 pairs of 2 and on remaining 2

We multiply the pairs together, and we get 4 in front of the squareroot.

squareroot(32) = 4[tex]\sqrt{2}[/tex]

Let's take 21

21/7

3/3 (3 is a prime number also 5,7,11,13,17 etc)

1

-This one doesn't have a short answer that could be written.

take 80

80/2

40/2

20/2

10/2

5/5

1

We have 2 pairs of 2 and a 5

squareroot(80) = 4[tex]\sqrt{5}[/tex]

The solution of the given system of equations 6x+3y=8 and 8x+4y=-1 is x=0 and y==-8/9

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitutes solutions of the system. (5, 4) is a solution of the first equation, but not the second.

We are given that;

The equation 1;  6x+3y=8

The equation 2; 8x+4y=-1

Now,

In equation 1

6x=8-3y

x=(8-3y)/6

Substituting the value of x in equation 2

8((8-3y)/6)+4y=-1

4((8-3y)/3)+4y=-1

(8-3y)/3)+4y=-1/4

8-3y+12y=-3/4

8+9y=-3/4

9y=-3/4-8

9y=-3-32/4

9y=-35/4

y=-32/36=-8/9

Putting the value of y in equation 1

6x+3(-8/9)=8

54x-8=8

x=0

Therefore, the solution of the equations will be x=0, y=-8/9.

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The probability that the first box was the one selected given that the marble is white is [tex]\frac{7}{12}[/tex] .

Probability is the likelihood that an event will occur.

The likelihood of an occurrence A provided that an earlier event B has already happened is known as conditional probability.

the two boxes are marked as B1, B2

Number of black balls: 1

Number of white balls: 1

Number of black balls in the box: 2,

Number of white balls: 1.

B and W should stand for black and white marble.

Therefore, the likelihood that either box will be selected is [tex]\frac{1}{2}[/tex]

Probability of selecting a black ball from a box: [tex]\frac{1}{2}[/tex]

Probability of selecting a black ball from a box: [tex]\frac{2}{3}[/tex]

To determine: the likelihood that the marble is black.

Solution:

The likelihood that the marble being black is equal to

[tex]\frac{1}{2} (\frac{1}{2} ) + \frac{1}{2} (\frac{2}{3} )\\= \frac{7}{12}[/tex]

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Answer: 2707

Step-by-step explanation: just  multipli

Answer:

186m^2

Step-by-step explanation:

This compound figure will be divided to three rectangular.

1) 18x9=162

2) (18-12)x2=12

3) 2x6=12

so, total is 161+12+12=186^2

The rounded number to the nearest thousands place is 9,910,000

To change a number into an approximation having fewer significant digits is called rounding a number.

Given that, a number 9,909,937 we are asked to round it,

9,909,937 in words =

nine million nine hundred nine thousand nine hundred thirty-seven

Therefore, to round to the nearest thousand;

You rounded to the nearest thousands place. The 9 in the thousands place rounds up to 10 because the digit to the right in the hundreds place is 9.

Because the thousands place was rounded up from 9 to 10, the thousands place becomes 0 and the ten thousands place is increased by 1. When a 9 is rounded up to 10, that place value becomes 0, and we add 1 to the previous place value.

9,910,000

When the digit to the right is 5 or greater we round away from 0. 9909937 was rounded up and away from zero to 9,910,000

Hence, the rounded number to the nearest thousands place is 9,910,000

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The sample mean is c) M=51.

To find the sample mean, we can use the formula for z-score:
                                              z = (X - M) / s

where:

In this case, we have two equations with two unknowns:

-0.25 = (M - 3 - M) / s
-0.75 = (44 - M) / s

Multiplying both sides of the first equation by s gives us:
-0.25s = M - 3 - M

Simplifying gives us:
-0.25s = -3

Next, we can multiply both sides of the second equation by s:
-0.75s = 44 - M

Now we can substitute the value of s from the first equation into the second equation:
-0.75(-3 / 0.25) = 44 - M

Simplifying gives us:
9 = 44 - M

Finally, we can solve for M:
M = 44 - 9
M = 35

So the sample mean is 35.

However, this answer is not one of the options given. It's possible that there was a mistake in the original question or in the calculations. Double-checking the calculations and the original question can help determine the correct answer. In this case, the correct answer is c. M=51.

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According to the given information the formula for f(x) in term of x is  f(x) = (4/5)x - 4.

A function is a relationship between a number of inputs and outcomes. Simply described, a function is an association between inputs where each input is linked to exactly one output. There is a range, codomain, as well as domain for every function. A function is commonly referred to as f(x), where x is in fact the input.

When looking at a graph, we use a procedure known as the Vertical Line Test to determine whether a function is indeed a function. Simply drawing a vertical line will reveal if the graph is a function if it touches it once.

4x - 5y = 20

Subtracting 4x from both sides

-5y = -4x + 20

Dividing 5 from the both sides

y = (4/5)x - 4

The formula for f(x) in terms of x is:

f(x) = (4/5)x - 4

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Answer:

first remove the parentheses on both sides by distributing the multiplication. Then collect all the terms involving

y

on one side (say the left) and the terms without

y

on the right. Finally, divide both sides by the coefficient of

y

. (the number in front of

y

).

It looks like this:

4

(

2

y

−

1

)

=

4

(

y

+

3

)

8

y

−

4

=

4

y

+

12

8

y

−

4

y

=

12

+

4

(subtract

4

y

from both sides and add

4

to both sides)

4

y

=

16

4

y

4

=

16

4

y

=

4

Check your answer.

More thought, looking at the equation:

Instead of distributing the

4

's on both sides, you could start by dividing both sides by

4

(multiplying by

1

4

. This keeps the numbers smaller. It looks like this:

4

(

2

y

−

1

)

=

4

(

y

+

3

)

1

4

[

4

(

2

y

−

1

)

]

=

1

4

[

4

(

y

+

3

]

)

#1/4*4 = [1/4 *4] (y+3)

2

y

−

1

=

y

+

3

2

y

−

y

=

3

+

1

(subtract

y

and add

1

on both sides)

y

=

4

Check your answer.

Answer link

Gió

Mar 25, 2015

First multiply

4

to get rid of the brackets:

8

y

−

4

=

4

y

+

12

Now, isolate the

y

s on one side and numbers on the other of the

=

sign (remembering to change sign in crossing the

=

sign);

8

y

−

4

y

=

+

4

+

12

Notice the change of sign of

4

y

and

−

4

;

now we can add and subtract:

4

y

=

16

The

4

is multiplying the

x

and can go to the right dividing to get:

x

=

16

4

=

4

hope it helps!

Melissa earned [tex]$152.84\\[/tex] this week. This means that she earned a total of [tex]$174.49[/tex] over the two week period.

To determine how much Melissa earned last week, we can subtract the [tex]$21.65[/tex] that she earned more this week from the total amount earned over the two week period. Therefore, Melissa earned [tex]$152.84[/tex] this week, and [tex]$21.65[/tex] more than she earned last week. Subtracting [tex]$21.65[/tex]from [tex]$174.49[/tex] gives us [tex]$152.84[/tex], which is the amount Melissa earned last week. This means that Melissa earned [tex]$152.84[/tex] last week .To summarize, Melissa earned $152.84 this week, which was[tex]$21.65[/tex] more than she earned last week. This means that Melissa earned a total of [tex]$174.49[/tex]over the two week period, and by subtracting [tex]$21.65[/tex] from the total amount earned over the two week period, we can determine that Melissa earned[tex]$152.84[/tex] last week.

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The probability of being assigned a general practitioner or a doctor under the age of 50 is 11/19 or approximately 0.5789 (rounded to four decimal places).

We are given that there are 5 general practitioners (GPs) out of 19 doctors in the hospital, which means that the probability of being assigned a GP is 5/19.

We are also given that there are 9 doctors under the age of 50 out of the 19 doctors in the hospital, which means that the probability of being assigned a doctor under the age of 50 is 9/19.

However, we need to subtract the probability of being assigned a doctor who is both a GP and under the age of 50 because this group is counted twice in the above probabilities.

We are given that there are 3 doctors who are both GPs and under the age of 50. Therefore, the probability of being assigned a doctor who is both a GP and under the age of 50 is 3/19.

To use the inclusion-exclusion principle, we add the probabilities of being assigned a GP and being assigned a doctor under the age of 50, and then subtract the probability of being assigned a doctor who is both a GP and under the age of 50.

P(GP or Under 50) = P(GP) + P(Under 50) - P(GP and Under 50)

= 5/19 + 9/19 - 3/19

= 11/19

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Answer:

  61

Step-by-step explanation:

You want the number of positive integers less than 2021 that can be written as the difference of two powers of 2.

2^12 = 4096 and higher powers cannot produce integers less than 2021 when other powers of 2 are subtracted. Hence we're looking for pairs of powers that are 2^11 and smaller.

2^11 = 2048, which is 27 more than 2021. This means a number in range can be generated only by subtracting a power of 2 from 2^11 that is 2^5 = 32 or greater.

There are 66 pairs (combinations) of numbers in the range 0 to 11. Except for the 5 pairs (11, 0), (11, 1), (11, 2), (11, 3), (11, 4), they all represent pairs of powers of 2 that will have a unique difference less than 2021.

There are 61 positive integers less than 2021 that can be written as the difference of powers of 2.

The statement which is not true is a. Passive political risk management discourages managers from fully or partially hedging their bets against exposure to political hazards

Passive political risk management does not deter managers from fully or partially hedging their bets against political risk exposure. This management describes a strategy for controlling political risk that involves altering how a firm carries out a business to reduce political risk. This is generally performed without necessarily using financial instruments to safeguard against any degree of political risk.

It may entail taking necessary steps to spread the firm's operations across other geographies and regions, choosing joint venture partners with strong political influence, determining local contacts, and preserving strong ties with local individuals associated with politics. Even if a firm doesn't use active hedging tactics, these activities can efficiently assist it to lessen its exposure to political risk.

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Answer:

I suppose she also paid $100 because a 20% off from Thiago could mean that the original price was 120.

Step-by-step explanation:

You slept for 9 hours in those three days, calculated by multiplying 12.5% of the total hours (72) by 72, which equals 9.

To calculate the number of hours slept in three days, we first need to determine how many hours there are in three days.

As given, 1 day has 24 hours. So, three days will have 3 x 24 = 72 hours.

Now, we are told that you slept for 12.5% of those 72 hours. To calculate this, we multiply the percentage by the total number of hours:

12.5% x 72 hours = (12.5/100) x 72 = 0.125 x 72 = 9 hours

Therefore, you slept for 9 hours in those three days.

Percentage is a way to express a proportion or ratio as a fraction of 100. The sign "%" is widely used to represent it. For example, if you had 20 apples and you ate 5 of them, you would have consumed 25% of the apples (5 out of 20).

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Answer:

p = -1/2

q = 2

Step-by-step explanation:

Equations are:
3x - py = 4                         [1]

4x - 3y + q = 0                [2]

If x = 1 and y = 2, then substituting for these values in each equation will provide a solution for p and q

Plugging x = 1 in Equation [1]:
3(1) - p(2) = 4

→ 3 - 2p = 4

→ -2p = 4 - 3

-2p = 1

-2p/-2 = 1/-2

p = -1/2

For the second equation  4x - 3y + q = 0
x = 1, y = 2

→    4(1) -3(2) + q = 0

→    4 - 6 + q = 0

→    -2 + q =0

→    q = 2

If a mill worker measures the width of a plank and the width of the plank is 15.8 dm, then the width of the plank in meters is 1.58

The width of the plank in decimeter = 15.8 dm

Conversion is the process of the converting the given measurement like length, mass etc, from one unit to another unit

We have to find the width of the plank in meter

We know that,

1 decimeter = 0.1 meter

Convert the given decimeter to meter  

15.8 decimeter = 15.8 × 0.1

Multiply the numbers

= 1.58 meters

Therefore, the width of the plank in meter is 1.58

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The given question in incomplete, the complete question is :

A millworker measures the width of a plank. The width is 15.8 dm . what is the width in meters?

Answer:

135 markers

Step-by-step explanation:

Let's call the number of markers in each large box "x."

After giving away 15 markers to each of 3 teachers, there were 90 markers left, so:

x - (15 * 3) = 90

Expanding the expression on the right side:

x - 45 = 90

Adding 45 to both sides:

x = 135

So, each large box originally contained 135 markers.

The amount for first prize is $36 and second prize is $9.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the amount for Second price be x.

Then, amount of first Prize is 4x.

So, x+ x +x + 4x + 4x = 100

11x= 100

x= $9

So, the first prize would be (9 x 4)= $36

and, the second prize is $9 each.

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Answer:

it could be either 1, 2 or 7

Step-by-step explanation:

1×14=14

2×7=14

7×2=14

The solution to the given quadratic equation formed is; y = -9/4 and y = -1

The given equation is expressed as;

(3 + 2y) = √(-y)

Taking the square of both sides gives us;

(3 + 2y)² = √(-y)]²

→ 9 + 12y + 4y² = -y

4y² + 13y + 9 = 0

Factoring the expression gives us;

4y² + 4y + 9y + 9 = 0

4y(y + 1) + 9(y + 1) = 0

Thus;

(4y + 9) = 0

(y + 1) = 0

y = -9/4

y = -1

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When a point (x, y) is reflected across x-axis then (x, -y) will be the new point and  reflected across y-axis then (-x, y) be the point.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph

Reflection is a process of transformation.

A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane.

Let the coordinates of a point be (4, 3).

When the coordinates of a point that is related by a reflection over the x-axis, then the new coordinate will be (4,-3).

(x, y)---->(x, -y)

The reflection of point (x, y) across the y-axis is (-x, y).

(x, y)---->(-x, y)

(4,3)  reflection across the y-axis is (-4, 3).

Hence, the reflection of point (x, y) across the y-axis is (-x, y) and  reflection of point (x, y) across the x-axis is (x, -y).

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Answer:

Step-by-step explanation:

The required equation that can be used to determine the price of each gallon of gas is 8.4x = 23.94. Option A is correct.What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.here,Let the cost of gas per gallon be x,Now according to the question,Cost of 8.4 gallons of fuel = 8.4xfrom the question,8.4x = 23.94Thus, the required equation that can be used to determine the price of each gallon of gas is 8.4x = 23.94. Option A is correct.

Answer:

6ft

Step-by-step explanation:

area of trapezoid formula: 1/2h(a+b)

height=x

x/2(4+8)=36

x/2*12=36

2 and 12 will get cancelled

6x=36

x=36/6

x=6

hope it helped!!!

Answer: BD = 60.34

Step-by-step explanation:

8x -33 = 2x+37

Take away 2x from both sides ( the 2x will cancel out)

= 6x - 33= 37

Add the 33 to both sides. (The -33 will cancel out)

Now you are left with 6x = 70

Divide both sides by 6.

x = 11.67 (rounded by the hundredth) (11.66666...)

Now to figure out BD your new equation is 2(11.67) + 37

After multiplying you get 23.34 + 37.

BD = 60.34

Hope this helps. This is the way I learned.