3(14-5x) = 72


what is x

Answers

Answer 1

Answer: x = -2

Step-by-step explanation:

The original problem is 3(14-5x) = 72. First, multiply 3 by the contents of the parentheses:

42 - 15 x = 72

Next, subtract 42 from each side:

-15x = 30

Now divide both sides by -15:

X = -2

Answer 2

Answer: -2

Step-by-step explanation:

First you begin by taking 3 and multiplying is by 14 and -5x:

(3 X 14) - (3 X -5x) = 72

42 - 15x = 72

Next, you subtract 42 from each side to isolate the variable.

-15x = 30

Next you divide each side by -15 to get the value of x.

X = -2

I hope this helps!


Related Questions

Two years ago, Paul bought $350 worth of stock in a cell phone company. Since then the value of his stock has been increasing at an average rate of 9 % per year . How much is the stock worth now?

Answers

The stock is now worth $415.84 .

Answer: The difference for the annual 9% increase is 31.5 The answer is $413.

Step-by-step explanation:

Since Paul bought his stock two years ago, the total difference is $63. 350+63=$413.

what is the solution of the following equation? 3x+9=27​

Answers

Answer:

x=6

Step-by-step explanation:

first you subtract 9 from 27, getting 18.

then you divide 18 by 3, which gives you 6.

therefore, X=6

Answer:

6

Step-by-step explanation:

3x+9=27

         -9

3x=18

divide 18 by 3

x=6

What is 3 ÷ 538? I'm having a bit of trouble​

Answers

Answer:0.00929368029

Step-by-step explanation:

Answer:

0.00557620817

Step-by-step explanation:

what is 2x + 10 = 20

Answers

Hey there!

2x + 10 = 20

x = 5 so 2 x 5 = 10 + 10 = 20

Therefore, x = 5

Hope this helps you!

God bless ❤️

Brainliest would be appreciated

xXxGolferGirlxXx

Answer: x = 5Explanation: First, you subtract 10 from both sides. Next, you simplify 20 - 10. 20 - 10 = 10. Then, you divide both sides by 2. x = 10/2Now, simplify the equation.Giving you the dividend of 5.  

rewrite as an exponential function
ln9=y

Answers

Final answer:

To rewrite the expression ln(9) = y as an exponential function, we can use the inverse relationship between logarithmic and exponential functions.

Explanation:

To transform the logarithmic equation ln(9) = y into an exponential form, recall the fundamental logarithm property: ln(x) = y can be expressed as e^y = x when using base 'e'. Applying this principle to our equation, ln(9) = y becomes e^y = 9. This represents the exponential function equivalent of the original logarithmic equation, where y is the exponent that, when applied to the base 'e', yields the result of 9. This conversion helps us understand the relationship between logarithmic and exponential expressions.

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What is the solution to the inequality -4x < 8? x < -24 x > -24 x < -2 x > -2

Answers

Answer:

x > -2

Step-by-step explanation:

Solve the inequality -4x < 8 using inverse operations. If you divide or multiply by a negative, flip the inequality sign.

[tex]-4x < 8\\\\\frac{-4x}{-4} < \frac{8}{-4}[/tex]

x > -2

Rachel likes to read books. She records the number of books she read over a period of 5 weeks. The set of ordered pairs below gives the details, where the x-coordinate is the number of weeks since she starts recording and the y-coordinate is the number of books she read each week.

Which of the following describes the set of ordered pairs?
A. both a relation and a function
B. a function only
C. neither a function nor a relation
D. a relation only

Answers

Answer:

A. both a relation and a function

Step-by-step explanation:

The given set of ordered pairs is

{(1,2),(2,3),(3,1),(4,4),(5,2)}.

This ordered pairs represent a relation.

The x-coordinates represent the domain and the co-domain or range is the set of the y-coordinates.

The relation is many-to-one relation.

All many-to-one relations are functions.

The correct choice is A.

What is 15 1/2 divided by 2 1/5

Answers

Answer:

6 1/5

Step-by-step explanation:

Answer:

Mixed Number Form: 7 1/22

Decimal Form: 7.045 repeating

Exact Form: 155/22

Hope this Helps!

help please!!! thank u!​

Answers

The answer is 33. Because when you have a scale factor of a whole number you multiply by the given area, point or line. Because of this the equation is 11(x) times 3 (scale factor)

Answer:

99

Step-by-step explanation:

The perimeter is increased by a factor of 3. The formula for perimeter is

New Perimeter = scale factor * original perimeter.

Area is a different matter. It is

New area = (scale factor)^2 * old area

Givens

old area = 11

Solution

New Area = 3^2 * 11

New area = 9 * 11

New area = 99

JUST LOOK AT Q4 I need this question ASAP?!?!?!?!?????!??!??

Answers

Answer:

A=78.23in²

Step-by-step explanation:

First we need to solve for the radius. The volume of a cylinder can be found using the formula:

[tex]V=\pi r^{2} h[/tex]

Now we have the variables:

V = 1177.5 in³

h = 15

r = ?

[tex]1177.5=\pi r^{2}15[/tex]

[tex]\dfrac{1177.5}{15}=\dfrac{\pi r^{2} }{15}[/tex]

[tex]78.5=\pi r^{2}[/tex]

[tex]\dfrac{78.5}{\pi }=\dfrac{\pi r^{2} }{\pi }[/tex]

[tex]r^{2}[/tex]≅24.99

[tex]\sqrt{r^{2} }[/tex]≅[tex]\sqrt{24.99}[/tex]

r≅4.99in

Now since we're looking for the area of the base, we can use the formula for the area of a circle which is:

[tex]A=\pi r^{2}[/tex]

[tex]A=\pi (4.99)^{2}[/tex]

A=78.23in²

Which scenario is modeled by the equation (x)(0.6)=$86.46?

Answers

Answer:

A picnic table is on sale for 40% off. The original price of the picnic table is

x =  $144.10

Step-by-step explanation:

If we have a 40% sale, that means

The price of the product will be its original price minus 0.4 multiplied by the original price

New price = (x) - 0.4*(x)

New price = 0.6*(x)

If the original price was $144.10

New price = 0.6*$144.10 = $86.46

Answer:

x=144.10

Step-by-step explanation:

Which scenario is modeled by the equation (x) (0.6) = 86 dollars and 46 cents?

which of the following are square roots of the number below? check all that apply.
400
A) 400^1/2
B) 40
C) -20
D) 10
E) 20
F) -400^1/2​

Answers

Answer:
A)400^1/2

E)20

C)-20

F)-400^1/2

Final answer:

The square roots of 400 are represented by A) 400^1/2, C) -20, and E) 20. These correspond to the positive and negative values that, when squared, result in 400. Options B) 40, D) 10, and F) -400^1/2 do not square to 400 and are therefore incorrect.

Explanation:

To find the square roots of the number 400, we look for numbers that when multiplied by themselves will equal 400. The square root of a number can be both positive and negative since both will square to give the original number.

Option A (400^1/2) represents the principal square root of 400, which is found by raising 400 to the power of 0.5. This is equal to 20, so option A is correct.

Option B (40) is not a square root of 400 because 40 * 40 equals 1600, not 400.

Option C (-20) is the negative square root of 400 because (-20) * (-20) equals 400, so option C is correct.

Option D (10) is incorrect because 10 * 10 equals 100, not 400.

Option E (20) is the positive square root of 400, so this is correct.

Option F (-400^1/2) is the negative principal square root of -400. Since 400 is positive, this option is not applicable, so option F is incorrect.

Therefore, the correct square roots of 400 from the given options are A) 400^1/2, C) -20, and E) 20.

What side lengths form a right triangle ?

Answers

Answer:

9,12,15 because Pythagorean theorem

The back of mangled angles

Answers

Answer:

what do you want me to do?

Step-by-step explanation:

Which order pair is a solution of this equation? -3x-7y=4

Answers

Answer:

(-6,2)

Step-by-step explanation:

An ordered pair is a solution if when substituted it makes the equation true. If when you substitute, it does not make the equation true then it is not a solution.

-3x - 7y = 4

Substitute:

-3(-5) - 7(2) = 4

15 - 14 = 4

1 = 4 FALSE

-3(2) - 7(-5) = 4

-6 + 35 = 4

29 = 4 FALSE

-3(2) - 7(-6) = 4

-6 + 42 = 4

36 = 4 FALSE

-3(-6) - 7(2) = 4

18 - 14 = 4

4 = 4 TRUE

PLZ PLZ ✨✨✨✨ HELP WILL GIVE BRAINLIEST

Answers

Answer:

The answer is 90 cm cube

Step-by-step explanation:

V=Bh

B=lw

B=7.5cm x 4cm

B= 30 cm

H= 3cm

30cm x 3cm = 90cm

V= 90cm cube

Hopes this helps!

Given that x and y are positive integers and (x·2)+x(2^2)+(y·2^3)+(y·2^4)=42, what is the value of xy?


NEED HELP NOW!!!!!!!!!!!!!1
PLZ

Answers

Final answer:

The solution to the given equation that results in positive integer values for x and y is x=3, y=1. Therefore, multiplying x and y together, xy = 3.

Explanation:

The given mathematical equation is (x·2)+x(2^2)+(y·2^3)+(y·2^4)=42. We can simplify this to 2x + 4x + 8y + 16y = 42, which simplifies further to 6x + 24y = 42. Dividing the whole equation by 6 to make the calculation simpler, we get x + 4y = 7. The solution to this equation that has positive integers for both x and y is x = 3, y = 1. Therefore, to find the value of xy, you simply multiply x and y together, and get xy = 3.

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The positive integer solutions for[tex]\(x\)[/tex] and [tex]\(y\)[/tex] in [tex]\(x + 4y = 7\)[/tex] are [tex]\(x = 3\)[/tex] and[tex]\(y = 1\)[/tex]. The value of [tex]\(xy\)[/tex]  is 3.

Let's simplify the given expression and solve for x and y.

[tex]\( (x \cdot 2) + x \cdot (2^2) + (y \cdot 2^3) + (y \cdot 2^4) = 42 \)[/tex]

Simplify each term:

[tex]\( 2x + 4x + 8y + 16y = 42 \)[/tex]

Combine like terms:

[tex]\( 6x + 24y = 42 \)[/tex]

Divide both sides by the greatest common factor, which is 6:

[tex]\( x + 4y = 7 \)[/tex]

Now, we need to find positive integer solutions for x and y that satisfy this equation.

One possible solution is x = 3 and y = 1, as:

[tex]\( 3 + 4 \cdot 1 = 7 \)[/tex]

Now, find the product [tex]\(xy\)[/tex] :

[tex]\( xy = 3 \cdot 1 = 3 \)[/tex]

So, the value of [tex]\(xy\)[/tex]  is 3.

Please help ASAP
A survey asks teachers and students whether they would like the new school mascot to be a viking or a patriot. This table shows the results.

Which statement is true?

Answers

Answer:

Option A.

Step-by-step explanation:

According to this survey results :

Students : 80 like viking and 20 like patriot.

Teachers : 5 like viking and 15 like patriot.

In Option B it is given that patriot is more popular in students while viking is more popular in teachers which is not correct.

In option c patriot is equally popular in students and teachers, which is also not correct. because patriot is popular in 20% of students but 80% in teachers, which is not correct.

In option d there is no difference between students and teachers, this statement is also not correct because there is lots of differences in their choices.

In Option A it is said that viking is more popular in students but patriot is more popular in teachers. this is correct.

Answer:

A) "Viking" is more popular with students, but "Patriot" is more popular with teachers ~apex

Step-by-step explanation:

I will mark you brainliest!

Answers

Answer:

Rate = 10%

Step-by-step explanation:

We are given with the following details.

Interest earned = $ 116.25

Principal = $ 1550

Interest Rate = r (say)

Time = 9 months

         = [tex]\frac{9}{12} years[/tex]

We are asked to determine the rate of interest for which we can earn 116.25 interest. As we are not specifically given whether it is a compound or simple interest , we assume it to be simple interest and solve .

The formula for simple interest is given as

[tex]Interest = Principal \times Rate \times time [/tex]

[tex]116.25=1550 \times r \times \frac{9}{12}[/tex]

[tex] r= \frac{116.25 \times 12}{1550 \times 9}[/tex]

r=0.1

Hence the r = 0.1

Hence the rate of interest is 10%

in response to rising concerns about identity theft the number of models of paper shredders a company manufactures increased approximately steadily from 2 models in 1998 to 36 model in 2008 what the average rate of change ​

Answers

Answer:

The average rate of change ​is m = 3.4 models of paper shredders per year

Step-by-step explanation:

The rate of change m of a function is:

[tex]m = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

In this problem the function receives a variable x = year and returns a variable f(x) = models of paper shredders

We know that for [tex]x = 1998[/tex], [tex]f(x) = 2[/tex]

We also know that for [tex]x = 2008[/tex], [tex]f(x) = 36[/tex].

Then we can calculate the average rate of change using these values.

[tex]m = \frac{f(2008)-f(1998)}{2008-1998}[/tex]

[tex]m = \frac{36-2}{2008-1998}[/tex]

[tex]m = 3.4[/tex]

Final answer:

The average rate of change in the number of paper shredder models produced by the company from 1998 to 2008 is 3.4 models per year.

Explanation:

To calculate the average rate of change, we can use the formula (Change in Y) / (Change in X). In this case, 'Y' is the number of paper shredder models and 'X' is the time, in years. In 2008 the company manufactured 36 models which is an increase from the 2 models they made in 1998.

The change in 'Y' (ΔY) would therefore be (36 - 2) = 34. The change in 'X' (ΔX) would be (2008 - 1998) = 10 years. Therefore, the average rate of change would be ΔY / ΔX = 34 / 10 = 3.4.

This suggests that, on average, the company has been producing an additional 3.4 models of paper shredders each year over this 10 year period in response to rising concerns about identity theft.

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What is the simplified form of the following expression?



I NEED THIS ASAP

Answers

the third answer is correct

C is your way to go!!!!!!! ;D

how is this solved?​

Answers

Count the number of cubes in the first layer.

There is 16 cubes in the first layer.

Now divide the total number of cubes by the cubes per layer:

48 cubes / 16 cubes per layer = 3 layers.

What are the possible outcomes of randomly choosing one of the tiles shown?

Answers

The possibility of randomly choosing one of the tiles is 1/9

What is the rate for $33.00 for 11 pounds of meat

Answers

divide 33/11 and it would give you 3 because your finding the rate of 11 pounds of meat hope it helps

Final answer:

To calculate the rate per pound for $33.00 worth of meat at 11 pounds, divide the total cost by the total weight, giving a rate of $3.00 per pound.

Explanation:

The question is asking to calculate the rate per pound for $33.00 worth of meat when 11 pounds of meat are bought. To find the rate, we divide the total cost by the total weight in pounds. The rate is the cost of one pound of meat.

Here's the step-by-step calculation:

Determine the total cost of the meat: $33.00.Determine the total weight of the meat: 11 pounds.Divide the total cost by the total weight to find the rate per pound: $33.00 ÷ 11 pounds = $3.00 per pound.

Therefore, the rate for $33.00 for 11 pounds of meat is $3.00 per pound.

What is the solution to x in -6x+7>1

Answers

Answer:

Step-by-step explanation:

Hello

7>1+6X

6>6X

x<1

Best regards

What is the surface area of the cone? (Use 3.14 for π.)

Answers

Answer: 117.226666667 cm^3

Step-by-step explanation:

So, we all know the formula for working out the volume of a cone is

V= 1/3πr^2h

V = 1÷3 x 3.14 × r^2 x h

The radius is half the diameter. Your diameter is 8 so the radius would be 4. And 7 is your height by the way.

So let's plot it all in!

V= 1÷3 x 3.14 × 4^2 x 7

V = 117.226666667cm^3

Round to the nearest 10 = 117.2cm^3

To the nearest 100 = 117.23cm^3

To the nearest whole number = 117cm^3

Answer:

Surface area = 87.92 Sq Inch and Total surface area =138.16 Sq Inches

Step-by-step explanation:

Here we are required to find the surface area of a cone, The formula of surface area of a cone is given as under

r=4

l = 7

[tex]S_{s}=\pi*r*l[/tex]

[tex]S_{s}=3.14*4*7[/tex]

[tex]S_{s}=87.92[/tex]

Also the total surface area is given as

[tex]T_{s}=\pi*r^{2} + \pi*r*l[/tex]

We are given

Now we put the values of r and  l in main formula

[tex]s=\pi*4^{2} + \pi*4*7\\s=3.14*16+3.14*28\\s=50.24+87.95\\s=138.16[/tex]

Hence the Surface area is 87.92 sq inches and Total surface area of the cone is 138.16

help plz explain how to do this.

Answers

Answer:

1/3

Step-by-step explanation:

PLEASE ANSWER WILL MARK BRAINLIEST

carlos and maria are outside flying a kite. carlos has let 40 feet of string out for the
kite which is flying directly over maria. how high above maria is the kite

Answers

Answer:

should be about 35 but i dunno for sure because i don’t know how tall maria is

Select the correct product.

(x 2 + 4x + 8)(2x - 1)

Answers

Answer:

[tex]\large\boxed{(x^2+4x+8)(2x-1)=2x^3+7x^2+12x-8}[/tex]

Step-by-step explanation:

Use FOIL: (a + b)(c + d) = ac + ad + bc + bd

[tex](x^2+4x+8)(2x-1)\\\\=(x^2)(2x)+(x^2)(-1)+(4x)(2x)+(4x)(-1)+(8)(2x)+(8)(-1)\\\\=2x^3-x^2+8x^2-4x+16x-8\qquad\text{combine like terms}\\\\=2x^3+(-x^2+8x^2)+(-4x+16x)-8\\\\=2x^3+7x^2+12x-8[/tex]

Answer:

The correct answer

(x² + 4x + 8)(2x - 1) = 2x³ + 7x² + 12x - 8  

Step-by-step explanation:

It is given that, (x² + 4x + 8)(2x - 1)

Points to remember

xᵃ * xᵇ = xᵃ⁺ᵇ

To find the product

(x² + 4x + 8)(2x - 1) = [(x²*2x) + (4x *2x) (8*2x)] - [x² + 4x + 8]

 = 2x³ + 8x² + 16x - x² - 4x -8

 = 2x³ + 8x² - x² + 16x - 4x -8  

 = 2x³ + 7x² + 12x - 8  

Which expression is equivalent to (x27y)^1/3

Answers

Answer:

[tex](x^{9}y^\frac{1}{3})[/tex]

or

[tex](x^{9}\sqrt[3]{y})[/tex]

Step-by-step explanation:

Given in the question an expression

[tex](x^{27}y )^\frac{1}{3}[/tex]

We will apply the power rule

The "power rule" tells us that to raise a power to a power, just multiply the exponents.

[tex](x^{27*\frac{1}{3} }y^\frac{1}{3})[/tex]

[tex](x^{9}y^\frac{1}{3})[/tex]

As we know that

[tex]x^{1/n} = \sqrt[n]{x}[/tex]

so we can write the above expression as

[tex](x^{9}\sqrt[3]{y})[/tex]

Answer:

3∛(xy)

Step-by-step explanation:

(x27y)^1/3

Simplified form will be 3/x³y³

Because;

27^(1/3) = 3

x^(1/3) = ∛x

y^(1/3) = ∛y

Which gives us 3∛(xy)

Other Questions
Calculate the total payback for a $2500 loan at 9% annual interest for two years. Use the formula M= Pm(1+m)^na/(1+m)^na-1 What is 9 less than the quotient of two and a number x pls helpHenry, a United States citizen, is temporarily living in Anchuriaa single-resource economy whose primary export is bananas. What kind of work would he be able to find in America that he would likely be unable to find in Anchuria? Work driving a truck carrying fruit Work at a farm growing bananas Work at a grocery store where bananas were sold Work at a factory producing trucks On the first page of New York Times article in the pre-lab, the researchers claimed that for every hour of television watched after age 25 it shortens the viewers life expectancy by 21.8 minutes. Consider the arguments of the students below who are evaluating the strength of the claim based on what they believe to be limitations of the study design: Student 1: I am not sure I believe the claim. The study design involved surveys of real people and asked about general health, disease status, exercise, smoking, diet, and number of hours of TV watched each week. This data should have been discussed as a limitation of the study because people are not good judges about these types of things. Student 2: I am not sure I believe the claim. I agree with student 1, but we should also question how the study participants were recruited. Maybe the people who were surveyed do not represent the broader population. This should have been discussed by the authors as another limitation of the study. Student 3: The claim is believable. The sample size used in the study is 12,000 adults. That is large enough to minimize any of the limitations of the study suggested by the other two students and therefore did not need to be discussed by the authors. Which student provides the best argument for whether or not the claim should be questioned The trail is 2982 miles long.It begins in city A and ends in city B.Manfred has hiked 2/7 of the trail before.How many miles has he hikes? Hello! Can I get some help with calculus please? #14 and #18. Don't forget to show your work. I appreciate the help! Which peninsula is circled in red on the map above?A.the Indian PeninsulaB.the Korean PeninsulaC.the Malay PeninsulaD.the Kamchatka Peninsula which responsibility can businesses refuse to offer their customers?A. To sell products that are safe and work properly.B. To tell the truth in advertising.C. To offer the lowest price.D. To treat customers fairly and equally Using the table, which statement is true?Question 12 options:Organisms in both Groups A and B have similar mechanisms for controlling their internal temperatures.Organisms in Group A have fewer mechanisms for controlling their internal temperatures than those in Group B. Organisms in both Group A and B usually coexist peacefully.Organisms in both Group A and B are extinct species. Comes siempre en casa? No, nunca como en casa. or No, no como en casa nunca. Tienes alguna falda? Sales siempre los fines de semana? Quieres comer algo ahora? Le prestaste algunos discos de jazz a Csar? Podemos ir a la playa o nadar en la piscina? Encontraste algn cinturn barato en la tienda? Buscaron ustedes a alguien en la playa? Te gusta alguno de estos trajes? PLEASE HELP PLEASE please on number four Choose the appropriate answer to the question:En franais, Qu'est-ce que c'est "a book"? A) C'est une porte. B) C'est un livre. C) C'est un bureau. D)Je ne sais pas Find the standard form of the equation of the parabola with a focus at (-2, 0) and a directrix at x = 2. The lower chambers of the heart are called the _[blank]_.atriamyocardiumseptumventricles Select the correct pronoun. Each man was prepared to give HIS/THEIR opinion. Please help me with this If p = 0.65, what is q?a, .65b, .35c, .55 9 minutes left to finish this!! I need help! Joey is 17 years older than his sister Pat. In 6 years, Joey will be 7 more than twice Pats age then. How old are Joey and Pat today? Cuando tena diez aos, mis padres me ________ a Espaa. A. llevaron B. llevaban C. llevasteis D. llevabais What factors led to an American declaration of war? (Select All That Apply)assassination of Franz Ferdinand Zimmerman note Russian Revolution German U-boat attacks Steam Workshop Downloader