I need help with this question can you please help me ?

I Need Help With This Question Can You Please Help Me ?

Answers

Answer 1

Answer:

Given that,

The product of a number and 6 equals twice the result of the sum of the number and 6.

Let the number be x,

product of a number and 6 is 6x.

sum of the number and 6 is x+6.

we get,

[tex]6x=2(x+6)[/tex]

a) The equation could be used to find the number is,

[tex]6x=2(x+6)[/tex]

b) On solving the above equation we get,

[tex]6x=2x+12[/tex][tex]6x-2x=12[/tex][tex]4x=12[/tex][tex]x=3[/tex]

The number is 3.

Answer is: 3


Related Questions

Find -7/8 - 2 1/6. Write your answer as a mixed number in simplest form.

Answers

Answer:

3 1/24

Step-by-step explanation:

 

In ACDE, mZC = (4x – 16), m D = (6x - 1)", and mZE = (4x - 13). Find mZC.

Answers

Explanation:

We can do a diagram of triangle CDE:

The sum of the measures of the interior angles of any triangle is 180º. We can write an equation:

[tex]\begin{gathered} m\angle C+m\angle D+m\angle E=180º \\ (4x-16)+(6x-1)+(4x-13)=180 \\ (4x+6x+4x)+(-16-1-13)=180 \\ 14x-30=180 \end{gathered}[/tex]

Solve for x:

[tex]\begin{gathered} 14x=180+30 \\ 14x=210 \\ x=\frac{210}{14} \\ x=15 \end{gathered}[/tex]

And with x = 15, replace into the expression for the measure of angle C to find it:

[tex]m\angle C=4x-16=4\cdot15-16=60-16=44º[/tex]

Answer:

m

Jalen measured a bookcase to be 8.4 ft the actual measurement is 5.6 ft what is Gary percent error

Answers

We start by calculating the difference between the expected measured value and the value measured by Gary:

8.4 ft - 5.6 ft = 2.8 ft

Now we estimate what 2.8 ft is of the actual measurement 8.4 ft. That is:

2.8 / 8.4 = 0.33333... this is written in percent form as: 33.33%

This is the percent error.

For what value of x does f(x) = 1?
Answer Choices:
A. x = 0
B. x= 1
C. x = 5
D. x = -5

Answers

B pretty sure it would be b

hello, i was wondering how to solve this? i am having trouble to solve this.

Answers

see the attached figure to better understand the problem

the angle between the two vectors is x and the vertex is R

Suppose you ride your bicycle to the library traveling at .50 km/min. It takes you 25minutes to get to the library. How far did you travel

Answers

Answer:

50km

Step-by-step explanation:

We know that every minute we travel .5 km....  

[tex]\frac{1 min}{.50 km}[/tex]

But we want to know how far we traveled in 25 mins

[tex]\frac{25 mins}{? km}[/tex]    

So we go and do....

[tex]\frac{1 min}{.50 km} * \frac{25 mins}{? km}[/tex]

Then we have to divide 25 by .50

[tex]\frac{25 mins}{.50 km}[/tex]

Which Gives us

50 so he traveled 50km

Answer:

12.5km

Step-by-step explanation:

Hey! Let's help you with your question here!

We can begin by figuring out what we know!

Known InformationBicycle traveling at .50km/min (0.50km/min)It takes 25 minutes to get to the library.

What we don't know and solving for it

What we don't know is the distance traveled based on the given time. Now, what do we do? Well, we already know that the bicycle is traveling at a distance of .50km per minute and it takes us 25 minutes to get to the library. All we need to do here is take the distance per minute and multiply it by the total amount of minutes it takes to reach the destination. It would look something like this:

[tex]=(0.50km/s)*25[/tex]

[tex]=0.50*25[/tex]

[tex]=12.5[/tex]

Therefore, we can see that if we travel at a distance of .50km/min for 25 total minutes, we get a final distance of 12.5km.

solve the equation -8y + 8 = 37y - 7

Answers

you must first get the variables on the same side of the equal sign. It yields,

[tex]-8y-37y+8=-7[/tex]

if we also pass the constant 8 to the right hand side, we have

[tex]-8y-37y=-7-8[/tex]

Hence, the left and right hand sides are equal to

[tex]-45y=-15[/tex]

hence, we have

[tex]y=\frac{-15}{-45}[/tex]

since minus times minus is plus, we obtain

[tex]y=\frac{15}{45}[/tex]

and it can be reduced to

[tex]\begin{gathered} y=\frac{15}{15\cdot3} \\ y=\frac{1}{3} \end{gathered}[/tex]

Finally, the answer is

[tex]y=\frac{1}{3}[/tex]

Answer:

y= 1/3

Step-by-step explanation:

see, I got an answer but my teacher showed us the websites answer and I'm confused.

Answers

First let's remember what a Rational number is. A Rational number is that one that can be written in this form (as a fraction):

[tex]\frac{a}{b}[/tex]

Where "a" is the numerator and "b" is the denominator.

Integers include negative numbers and, positive numbers and zero. For example, these are Integers:

[tex]4,2,-3,-8[/tex]

An Integer is always a Rational number, because it can be written as a fraction with denominator 1:

[tex]\frac{4}{1},\frac{2}{1},\frac{-3}{1},\text{ }\frac{-8}{1}[/tex]

Then:

A Rational number that is not an Integer is different from a Rational number that is an Integer, because the first one must be written with a denominator. For example:

[tex]\frac{1}{2}[/tex]

but the second one can written showing only the numerator (because it is know that all Integers have denominator 1):

[tex]4=\frac{4}{1}[/tex]

Therefore, all Integers are Rational numbers, but a Rational number is not always an Integer.

(statistics) urgently need help with question 32, is it valid or not valid & is the argument sound or not?

Answers

From the Venn diagram shown above we notice that the conclusion is false. This comes from the fact that even if all queens are women not all women are quenss.

We want to solve the following system of equations.x^2 + y^2 = 1y = 2x + 2One of the solutions to this system is (-1,0).Find the other solution.

Answers

Answer:

(-3/5, 4/5)

Explanation:

Given the system of equations:

[tex]\begin{gathered} x^2+y^2=1 \\ y=2x+2 \end{gathered}[/tex]

First, we substitute y=2x+2 into the first equation to obtain:

[tex]\begin{gathered} x^2+(2x+2)^2=1 \\ x^2+(2x+2)(2x+2)=1 \\ x^2+4x^2+4x+4x+4=1 \\ 5x^2+8x+4-1=0 \\ 5x^2+8x+3=0 \end{gathered}[/tex]

We solve the derived quadratic equation for x,

[tex]\begin{gathered} 5x^2+8x+3=0 \\ 5x^2+5x+3x+3=0 \\ 5x(x+1)+3(x+1)=0 \\ (5x+3)(x+1)=0 \\ 5x+3=0\text{ or }x+1=0 \\ x=-\frac{3}{5}\text{ or -1} \end{gathered}[/tex]

We then solve for the corresponding values of y using any of the equations.

[tex]\begin{gathered} \text{When x=-1} \\ y=2x+2 \\ y=2(-1)+2 \\ y=0 \\ When\text{ }x=-\frac{3}{5} \\ y=2(-\frac{3}{5})+2 \\ =\frac{4}{5} \end{gathered}[/tex]

Therefore, the solutions o this system are:

(-1,0) and (-3/5, 4/5).

The other solution is (-3/5, 4/5).

Martina created this box plot to represent the number of inches of snow that fell during the winter in several different cities. Snowfall Summary 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 Number of inches (a) What was the least amount of snowfall in any of the cities? (b) In which quarter is the data most concentrated? Explain how you know. (c) In which quarter is the data most spread out? Explain how you know.

Answers

a)

The minimum happens at the end of the left whisker of the box plot, from the graph we notice that his happens at five. Therefore, the minium amount of snow in any of the cities was 5.

b)

The data is more concenrtated in the second quarter (from the median to the third quartile) this comes from the fact that the length of this part of the block is smaller compared to the second quarter.

c)

The data is more spread out in the second quarter (from the second quartile to the median); this comes from the fact that the length of that part of the box is larger than any other part of the plot

Points EGNK or midpoints explain how you know figure EGHK is a parallelogram

Answers

Solution

Given a triangle FDH with E, G and H the midpoints of the sides of the triangle

Considering the figure EGHK,

Line EG is parallel and equal to line KH

Line, EK is parallel and equal to line GH

This is a feature of a parallelogram i.e two pair of opposite sides of a parallelogram are parallel and equal

∠GEK is equal to ∠GHK and ∠EGH is equal to ∠EKH

This is a feature of a parallelogram i.e

Question 2You buy a house for $299,000. If you make a 20% down payment, how much will your principal and interest payment be per month if you take out a 30 year loan with an interest rate of 4.25%.

Answers

The price of the house is $29900

At first you paid 20% of that price, to calculate how much the down payment was you have to do as follows:

[tex]299000\cdot0.2=59800[/tex]

The down payment was $59800 and there are $299000-$59800=$239200 left to pay.

From this $239200 you have to calculate the interest rate:

$239200*0.0425= $10166 → this represents the total interest rate you'll pay

This is a 30 year loan, which means you'll pay

30*12=360

for 360 months

Divide the principal payment $239200 by 360 to calculate the monthly fee:

[tex]\frac{239200}{360}=664.44[/tex]

Do the same with the total interest rate:

[tex]\frac{10166}{360}=28.24[/tex]

Monthly you'll pay $664.44 plus $28.24 of interest, that adds up for a total of $692.68

Use inductive reasoning to find the next number in the pattern: 1 / 3 , 2 / 4, 3 / 5, ____.

Answers

..

SOLUTION

[tex]\frac{1}{3},\frac{2}{4},\frac{3}{5},...[/tex]

The sequence progresses by the addition of 1 to both numberator and denominator.

[tex]\frac{3+1}{5+1}=\frac{4}{6}[/tex]

The next number is 4/6.

The area of the parallelogram below is square meters. 9 m 7 m 2m

Answers

Answer:

63 square meter

Explanation:

Area of the parallelogram = Base * Height

From the given diagram;

Base = 9m

Height = 7m

Area of the parallelogram = 9m * 7m

Area of the parallelogram = 63 square meter

From the table above what is the probability that the respondent chosen at random answers something other than somewhat likely

Answers

Find the probability that the respondent will choose "somewhat likely". Divide the number of respondents who chose the option by the total number of respondents.

[tex]\begin{gathered} P(SL)=\frac{290}{\~likely)=\frac{290}{210+290+340+80+80}} \\ =\frac{290}{1000} \\ =0.29 \end{gathered}[/tex]

Since we need to find the probability of the complement of "somewhat likely", subtract the obtained probability from 1.

[tex]\begin{gathered} P(notSL)_{}=1-0.29 \\ =0.71 \end{gathered}[/tex]

Identify the slope and the y-intercept of each line and use them to write an equation of the graph

Answers

Notice that the line passes through the point (0,1) and the point (3,-1). Then, we have the following:

[tex]\begin{gathered} y-\text{intercept: (0,1)} \\ \text{slope:} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ \Rightarrow m=\frac{-1-0}{3-0}=-\frac{1}{3} \\ m=-\frac{1}{3} \end{gathered}[/tex]

now we can find the equation of the line using the slope and the y-intercept:

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ \Rightarrow y-1=-\frac{1}{3}(x-0) \\ \Rightarrow y=-\frac{1}{3}x+1 \end{gathered}[/tex]

therefore, the equation of the line is y=-1/3x+1

The board of directors of a company must have select a president, a secretary and a treasurer in how many possible ways can this be accomplished if there are 22 members on the board

Answers

Given

Total number of members = 22

Find

Possible ways of selection of president, a secretary and a treasurer

Explanation

As we know , the number of possible ways of selection is given by

[tex]N=^nP_r[/tex]

there are three members required so , r = 3

now , substitute the values in above equation

[tex]\begin{gathered} N=^{22}P_3 \\ N=\frac{22!}{(22-3)!} \\ \\ N=\frac{22!}{19!} \\ \\ N=22\times21\times20 \\ N=9240 \end{gathered}[/tex]

Final Answer

Possible ways of selection of president, a secretary and a treasurer = 9240

a cube has 6 faces that are red, yellow, or blue. maggie rolls the cube 20 times and records the color facing up.

Answers

From the information given, the number of outcomes from 20 trials are

Red = 7

Yellow = 6

Blue = 7

From the outcomes, since the number of outcomes for red and blue are equal, it means that the number of red and blue faces would be the same. The only option where they are the same is the last option. Since the total number of faces is 6, the remaining face which is yellow is possibly 2. Thus, the correct option is

The cube has 2 red faces, 2 blue faces and 2 yellow faces

Use diagram to find the following 1. m angle RVS = 2. M angle TVU =

Answers

The pie chart provides the following information;

[tex]\begin{gathered} m\angle RVS=(10x-10)^o \\ m\angle RVU=(8x-14)^o \\ m\angle UVT=8x^o \\ m\angle TVS=(5x+12)^o \end{gathered}[/tex]

The sum of angles in a circle is 360 degrees.

Thus, we have;

[tex]\begin{gathered} (10x-10)^o+(8x-14)^o+8x^o+(5x+12)^o=360^o \\ 31x^o-12^o=360^o \\ 31x^o=360^o+12^o \\ 31x^o=372^o \\ x^o=\frac{372^o}{31} \\ x^o=12^o \end{gathered}[/tex]

Then;

(a)

[tex]\begin{gathered} m\angle RVS=(10x-10)^o_{} \\ m\angle RVS=10(12)-10 \\ m\angle RVS=110^o \end{gathered}[/tex]

(b)

[tex]\begin{gathered} m\angle TVU=8x^o \\ m\angle TVU=8(12) \\ m\angle TVU=96^o \end{gathered}[/tex]

which of the following graphs represents the equation Y -4 equals 3(x-1)?

Answers

Answer:

Explanation:

Given the equation:

[tex]y-4=3(x-1)[/tex]

To determine its graph, check the graph that corresponds to the x and y-intercepts of this line.

When x=0

[tex]undefined[/tex]

What is the sum of 7/8 and 11/8

Answers

[tex]\begin{gathered} \frac{7}{8}+\frac{11}{8} \\ \frac{7+11}{8}=\frac{18}{8}=\frac{9}{4}=2\frac{1}{4} \\ \end{gathered}[/tex]

In NOP, PNOP and m2O = 32. Find m P.

Answers

Solving Angle Problems.

[tex]PN\cong\text{ OP implies congruency, that is, length PN is the same as length OP.}[/tex]

It follows therefore that

[tex]\begin{gathered} \angle NPO=\angle NOP=32^o\ldots.(\operatorname{Re}ason\colon\text{ Base angles of the isosceles triangle)} \\ \text{Hence}, \\ m\angle P=32^o \end{gathered}[/tex]

The correct answer is the measure of angle P is 32 degrees

A card is selected from a standard deck of cards. What is the probability of selecting a King or an even card?

Answers

Given:

A card is selected from a standard deck of cards.

Required:

We need to find the probability of selecting a King or an even card.

Explanation:

The sample space =the total number of cards = 52.

[tex]n(S)=52[/tex]

Let A be an event of selection a king.

The number of cards that is king = 4.

The favourable outcomes =The number of the card king

[tex]n(A)=4[/tex]

The probability of selecting a king

[tex]P(A)=\frac{n(A)}{n(S)}=\frac{4}{52}[/tex]

Let B be an event of selection an even card.

There are 5 even values (2,4,6,8,10) and 4 of each in the deck.

The number of cards that is even card=20.

The favourable outcomes =The number of the even card

[tex]n(B)=20[/tex]

The probability of selecting an even card

[tex]P(B)=\frac{n(B)}{n(S)}=\frac{20}{52}[/tex]

The probability of selecting a King or an even card is

[tex]=P(A)+P(B)[/tex][tex]=\frac{4}{52}+\frac{20}{52}=\frac{24}{52}[/tex][tex]=\frac{6}{13}[/tex]

Final answer:

The probability of selecting a King or an even card 6/13.

f(x) = 5x2 – 7(4x + 3). What is the value of f(3)?

Answers

Given the function:

[tex]f(x)=5x^2-7(4x+3)[/tex]

we can find f(3) by making x = 3 and solving for the term f. In this case, we have the following:

[tex]\begin{gathered} f(3)=5(3)^2-7(4(3)+3) \\ =5(9)-7(12+3)=45-7(15)=45-105=-60 \\ \Rightarrow f(3)=-60 \end{gathered}[/tex]

therefore, f(3) = -60

One thermos of hot chocolate uses 2/3 cup of cocoa powder. How many thermoses can nalli make with 3 cups of cocoa powder?

Answers

In order to determine the number of thermos, divide by 3 by 2/3, as follow:

[tex]\frac{\frac{3}{1}}{\frac{2}{3}}=\frac{3\cdot3}{1\cdot2}=\frac{9}{2}=4.5[/tex]

the previous result means that nalli can make four and one hal thermoses with 3 cups of cocoa powder.

What is the measurement of DC? How do you know ?

Answers

The vertices B, C and D form a right triangle.

Knowing 2 sides of the tright triangle, like BD and BC, we can find the length ofthe third side, DC, using the Pythagorean theorem: the sum of the squares of the length of the legs, DC and BC, is equal to the square of the length of the hypotenuse BD.

[tex]DC^2+BC^2=BD^2[/tex]

Replacing with the values, we can calculate DC:

[tex]\begin{gathered} DC^2+60^2=100^2 \\ DC^2+3600=10000 \\ DC^2=10000-3600 \\ DC^2=6400 \\ DC=\sqrt[]{6400} \\ DC=80 \end{gathered}[/tex]

Answer:

The correct options are

A: 80

B: Pythagorean theorem

1. If ∠2 measures 120°, what is the measure of ∠1? Explain how you found the measure of ∠1.2. Think of the top and middle shelves as two lines cut by a transversal. What type of angles are ∠1 and ∠5?3. Use the relationship between ∠1 and ∠5 to decide whether the top and middle shelves are parallel.(Needs exterior angles)4. Is the bottom shelf parallel to the top shelf? Explain.5. Is the bottom shelf parallel to the middle shelf? Explain.

Answers

1.

The shelves can be assumed to be straight lines, and as straight lines have a 180° angle, then:

[tex]m\angle2+m\angle1=180\degree[/tex]

We know the value of m∠2. Thus, we can replace it and solve for m∠1:

[tex]120\degree+m\angle1=180\degree[/tex][tex]m\angle1=180\degree-120\degree[/tex][tex]m\angle1=60\degree[/tex]

2.

If we can suppose that the top and middle shelves are cut by a transversal, then ∠1 and ∠5 are corresponding angles.

3.

When two parallel lines are cut by a transversal, they form corresponding angles, and these are equal in measure. Therefore, as:

[tex]m\angle1=m\angle5=60\degree[/tex]

Then we can say that the top and middle shelves are parallel.

4.

As m∠11 = m∠2, we can say that they are alternate exterior angles, which are formed when parallel lines are cut by a transversal. Therefore, the bottom shelf is parallel to the top shelf.

5.

Finally, we can see that as m∠11 = 120°, we are in the same situation as in question 1, for which we conclude that m∠9 = 60°. Now, we have the same situation as in question 2, in which m∠5 and m∠9 are corresponding. Thus the bottom shelf is parallel to the middle shelf.

A data set consists of these points: (2, 4), (4, 7), (5, 12). Malinda found theregression equation to be ŷ = -2.5x - 1.5. Is she correct?A. No. The value for b is incorrect.B. Yes. This is the correct equation.OC. No. Both a and b are incorrect.D. No. The value for a is incorrect.

Answers

From the given cooridnate values, we can see that the linear regression model is given by:

the line

[tex]y=2.5x-1.5[/tex]

If a and b denote the slope and y-intercept then , by comparing with the given solution, we can note that the slope (a) is incorrect. It must be 2.5 instead of -2.5. Therefore, the answer is option D

Construct a 95% confidence interval of the population proportion using the given information x=180, n = 300 the lower bound is the upper bound isRound to three decimal places as needed

Answers

Given;

[tex]x=180,n=300[/tex]

Then, we can find the point estimation as;

[tex]\begin{gathered} \hat{p}=\frac{x}{n} \\ \hat{p}=\frac{180}{360}=0.60 \end{gathered}[/tex][tex]Z_{\frac{\alpha}{2}}=Z_{0.05}=1.96[/tex]

Thus, the margin of error E is;

[tex]\begin{gathered} E=Z_{\frac{\alpha}{2}}\sqrt[]{\frac{\hat{p}(1-\hat{p})}{n}} \\ E=1.96\sqrt[]{\frac{0.60(0.40)}{300}} \\ E=1.96\sqrt[]{0.0008} \\ E=0.055 \end{gathered}[/tex]

A 95% confidence interval for population proportion p is;

[tex]\hat{p}\pm E=0.60\pm0.055[/tex]

The lower bound is;

[tex]0.60-0.055=0.545[/tex]

The upper bound is;

[tex]0.60+0.055=0.655[/tex]

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The population of a small city in 2010 was 36,000. In 2015, the population was 43,800. If the population growth is exponential and growth occurs at the same rate, what will be the population be in 2020? round your answer to the nearest whole number. 42) When you weigh yourself on good old terra firma (solid ground), your weight is 142 lb. In an elevator your apparent weight is 121 lb. What are the direction and magnitude of the elevators acceleration? Model Karas plan with a table,graph, and a explicit and recursive equation I have a picture because it has a diagram Place the steps in order for inserting a video link into a document.Place the cursor at theinsertion pointClick the Online VideobuttonPreview the video beforesaving the documentClick Insert tabSearch for and select thevideo A bicycle has a listed price of $521.99 before tax. If the sales tax rate is 7.5%, find the total cost of the bicycle with sales tax included.Round your answer to the nearest cent, as necessary. Determine the angle measures of quadrilateral EFGH that would result in it's similarity to quadrilateral ABCD Help with number two please highlight the answer in bold What is the name of the compound P4Cl7?1. phosphorus(IV) heptachloride2. phosphorus hexachloride3. potassium(IV) chloride4. tetraphosphorus heptachloride5. quattrophosphorus sevenchloride6. tetraphosphorus chlorate Mabel spends 4 hours to edit a 3-minute long video. She edits at a constant rate.How long does Mabel spend to edit a 15 minute long video? What represents the values of the range in the following graph?A.the range is represented by the average growth of the horse. B. The range is represented by cm/year.C. The range is represented by the height of the horse.D. The range is represented by the age. Write the equation for each line in slope - intercept form:Y int: 4 and goes through (1,8) Find the odds in favor of getting an extra turnWhat is the probability of choosing a lemon-flavored piece What is the slope of the line that passes through the points (10, 6) and (6, 6)? Writeyour answer in simplest form. Two girls 21 miles apart. One going 3.5 mph one going 2.5 mph. How long until they meet up? Use the following words to complete the sentences : 1) Run, 2) Positive , 3) Constant , 4) Linear , 5) Steepness ,6) Vertical 7) Horizontal ,8) Rise 9) Negative , 1) Slope is the ----- of a line. It is also know as the ------ rate of change. 2) If a line is slanting upwards we say it has a ------ slope. If a line is slanting downwards we say it has a ------ slope .3) A slope of zero means the line is ----- .4) An undefined slope means the line is ----- . 5) All straight line graphs are known as ------ relationships .6) To find the slope of a line we use the formula ----- over ------ . Mr. Nguyen bought a suit that was on sale for 40% off the original price. He paid 9% salea tax on the sake price. The original price of the suit was $260. How much did he pay for the suit, including tax, to the nearest dollar? first test(x)=86,82,47,69,73,47,63,50,59,77,88,87second test (y)=81,71,51,75,69,44,48,48,58,68,83,77find a equation of the least squares regression line. Round the answer to three decimal places, if necessary. What change do you have to make to the graph? what is the standard deviation of the following data set rounded to the nearest tenth