What is the value of a if (2a+3)−(4a−8)=7?

Answers

Answer 1

Answer:

Step-by-step explanation:

2a + 3 - 4a + 8 = 7

-2a + 11 = 7

-2a = -4

a = 2

Answer 2

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = 2}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(2a + 3) - (4a - 8) = 7}[/tex]

When there is a ( - ) in front of an expression in parentheses , change the sign of sign of each term in the expression

[tex] \longrightarrow{ \sf{2a + 3 - 4a + 8 = 7}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{ - 2a + 3 + 8 = 7}}[/tex]

Add the numbers: 3 and 8

[tex] \longrightarrow{ \sf{ - 2a + 11 = 7}}[/tex]

Move 11 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2a = 7 - 11}}[/tex]

Subtract 11 from 7

[tex] \longrightarrow{ \sf{ - 2a = - 4}}[/tex]

Divide both sides by -2

[tex] \longrightarrow{ \sf{ \frac{ - 2a}{ - 2} = \frac{ - 4}{ - 2} }}[/tex]

Calculate

[tex] \longrightarrow{ \sf{a = 2}}[/tex]

Hope I helped!

Best regards! :D


Related Questions

Which conditional statement is true?
If it is a table, it has four legs.
If it is Wednesday, it is a weekday.
If it has printed words, it is a book.
If it is a month, it has thirty-one days.

Answers

Answer:

if it is wednesday, it is a weekday.

Step-by-step explanation:

not all tables have 4 legs, not all printed words are in books, not all months have 30 days.

Its pitcher is shaped like a cylinder with a radius of 1 centimeter and a height of 7.8 cm. What's this pitcher plant's approximate volume?​

Answers

Answer:

The pitcher plant's approximate volume is 24.492 [tex]\text{cm}^{3}[/tex].

Step-by-step explanation:

We are given that a  pitcher is shaped like a cylinder with a radius of 1 centimeter and a height of 7.8 cm.

Let the radius of a cylinder = r = 1 cm

and the height of a cylinder = h = 7.8 cm

As we know that the volume of a cylinder is given by;

The volume of a cylinder = [tex]\pi r^{2}h[/tex]

                           = [tex]3.14 \times 1^{2} \times 7.8[/tex]  {taking approximate value of [tex]\pi[/tex] to be 3.14}

                           = [tex]3.14 \times 7.8[/tex]

                           = 24.492 [tex]\text{cm}^{3}[/tex]

Hence, this pitcher plant's approximate volume is 24.492 [tex]\text{cm}^{3}[/tex].

Помогите пожалуйста!

Answers

i don't speak russian bro

How many obtuse angles can a triangle have?


Answers

Answer:

one

Step-by-step explanation:

1 obtuse angle maximum

hi! when finding a ratio, like teeth to no teeth, (pretend theres 9 faces with teeth and 10 with none), do you put the bigger number in front or follow the question and put the 9 faces with teeth first?​

Answers

Answer:

it matters what word came first

Step-by-step explanation:

The order of the items in a ratio is very important, and must be respected; whichever word came first in the ratio (when expressed in words), its number must come first in the ratio.

4:3. The order of numbers in a ratio is important. ...

numerator / denominator. A fraction is another way of expressing one number divided by another. ...

24 / 56 = 0.42857.

It matters what word came first

In the morning the temperature is 0 F. It is drop out rate of 3° perh what is the temperature after five hours

Answers

Answer:

-15 degrees

Step-by-step explanation:

3 times 5 is 15 and its negative because it says it DROPS every hour and its taking the temp every 5 hrs

(x+y+z) (x-y+z)


Thank you​

Answers

Answer:

x^2  +2xy + 2xz - y^2 + z^2

Step-by-step explanation:

(x+y+z) (x-y+z)

x^2 + xy + xz + xy - y^2 + yz + xz - yz + z^2

x^2 + xy + xy + xz + xz - y^2 + yz - yz + z^2

x^2  +2xy + 2xz - y^2 + z^2

Answer:

x²  +2xy + 2xz - y² + z²

Step-by-step explanation:

please help please

(-1)(-1)(-1)=

Answers

Answer:

the answer of this is : (-1)

Given that 6 x − 4 y = 29 Find x when y = 4

Answers

Answer:

[tex]x=15/2=7.5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]6x-4y=29[/tex]

And we want to find x when y is 4.

So, substitute y for 4:

[tex]6x-4(4)=29[/tex]

Multiply:

[tex]6x-16=29[/tex]

Add 16 to both sides:

[tex]6x=45[/tex]

Divide both sides by 6:

[tex]x=45/6[/tex]

Reduce by dividing both layers by 3:

[tex]x=15/2=7.5[/tex]

And this is our answer :)

Answer:

[tex]7.5 \: or \:7\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]6x- 4 y = 29\\x =?\\y =4[/tex]

Substitute 4 for y in the given equation ;

[tex]6x-4(4)=29\\6x -16=29[/tex]

Collect like terms

[tex]6x = 29+16[/tex]

Simplify

[tex]6x = 45[/tex]

Divide both sides of the equation by 6

[tex]\frac{6x}{6} = \frac{45}{6} \\\\x =\frac{15}{2} \:or \: 7.5 \: or \:7\frac{1}{2}[/tex]

A car moves a distance of 100m in 12 seconds. what is the average speed in km/h​

Answers

Answer:

30km/h.

Step-by-step explanation:

100m/12s = 0.1km/12s

There are 3600 seconds in an hour.

0.1km/12s = 30km/h.

100000 inches is equal to how many miles?

Answers

Answer:1.5783 Miles

1.5783 Miles

Step-by-step explanation:

Multiply the value in Inch (in) by 0.0000157828 (the conversion factor). So,

100000 Inch (in) × 0.0000157828 = 1.57828 Mile.

5.67
is it rational

Answers

Answer:

Yes

Step-by-step explanation:

It not a continues number like 1.33333... therefore it is rational. If it went on forever it would be concidered irrational.

Answer:

Yes. 5.67 is a rational no.

Step-by-step explanation:

5.67 is a terminating & non-repeating decimal . And we know that a terminating non-repeating (or repeating  i.e. the decimal would have a bar) decimal no. is a rational number.

5.67 can also be written as  [tex]\frac{567}{100}[/tex]   . A rational is always in the form of   [tex]\frac{p}{q}[/tex]  form where p & q are integers. Hence 5.67 is a rational number.

Does anyone know where to plot this?

Answers

Answer:

(-3,1) becomes (1,-1)

(-4,7) becomes (0,5)

(-6,3) becomes (-2,1)

(-9,8) becomes (-5,6)

Step-by-step explanation:

just move every point 4 to the right and 2 down. once you plot the new points draw and connect

If you could see my teacher wrote the answer on the right but he wants me to say how he figure it out

Answers

Step-by-step explanation:

since there are five digit after1 so the power is 5 and the is the number 2 which is multiplied to each and after that the number 0is there which makes 4 number left and so on until the power is zero

Find the value of X in the equation below.

g=xc​

Answers

Answer:

g/c = x

Step-by-step explanation:

g= xc

/ c

g/c = x

isolate x by dividing out c

Each expression with the appropiate property:​

Answers

commutative property of multipication

solve 12x + k = c for x and what are the steps?

Answers

Answer:

[tex] \huge \orange { \boxed{x = \frac{c - k}{12} }}[/tex]

Step-by-step explanation:

12x + k = c

Step 1: transfer k on right side

12x = c - k

Step 2: Divide both side by 12

[tex] \frac{12x}{12} = \frac{c - k}{12} \\ \huge \red{ \boxed{x = \frac{c - k}{12} }}[/tex]

How do we multiply monomial times monomial?

A. Multiply the coefficients, Add the exponents

B. Multiply the coefficients, multiply the exponents

C. Add the coefficients, multiply the exponents

Answers

Answer:

A. Multiply the coefficients, Add the exponents

Step-by-step explanation:

To multiply monomials, multiply the coefficients, and add the exponents of the same variable.

Answer: A. Multiply the coefficients, Add the exponents

Answer:

a- multiply the coefficients, add the exponets.

Step-by-step explanation:

i already did it!

Solve the equation,
3(b + 3) - 4(-2+b) = 19

Answers

Answer:

b= -2

Step-by-step explanation:

Answer:

b = -2

Step-by-step explanation:

The first thing we need to do to solve this equation is expand the brackets. To so this we need to multiply the outside term with each of the terms inside the bracket (distributive law).

This gives us:

3xb + 3x3 -4x-2 -4xb = 19

Which multiplies out to:

3b + 9 + 8 -4b = 19

Combine like terms:

-b +17 = 19

From here we move the 17 to the other side by subtracting 17 from both sides

-b +17 -17 = 19 - 17

-b = 2

Divide both sides by -1:

-b/-1 = 2/-1

Which gives us:

b = -2

Hope this helped!

Is the following relation a function ? S = {(1,2),(2,2),(-2,2)} justify your answer

Answers

Answer:

              YES

Step-by-step explanation:

relation is a function if we have y for every x from domain and for one x we have one and only one y

x = 1  --> y = 2

x = 2 --> y = 2

x = -2 --> y = 2

no x-es without y-es

and no two the same x-es with one y

so this relation is a function

using appropriate properties, find the value of 249² - 248²

Answers

Answer:

[tex]\boxed{\bold{\huge{\boxed{497}}}}[/tex]

Step-by-step explanation:

=> [tex]\sf 249^2 - 248^2[/tex]

Using Formula [tex]\sf a^2 - b^2 = (a+b)(a-b)[/tex]

Where

a = 249

b = 248

=> [tex]\sf (249+248)(249-248)[/tex]

=> [tex]\sf (497)(1)[/tex]

=> 497

Determine if the expression -5y^5-y^3−5y5−y3 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomimal.

Answers

Answer:I think it y=73

Step-by-step explanation:

Answer: It is a polynomial, and the degree is 5.

I could be wrong on this but, i'm trying

Step-by-step explanation:

Polynomials in one variable are algebraic expressions that consist of terms in the form axn a x n where n is a non-negative (i.e. positive or zero) integer and a is a real number and is called the coefficient of the term. The degree of a polynomial in one variable is the largest exponent in the polynomial. Also, all exponents have to be positive in a polynomial. Another rule of thumb is if there are any variables in the denominator of a fraction then the algebraic expression isn’t a polynomial.Note that this doesn’t mean that radicals and fractions aren’t allowed in polynomials. They just can’t involve the variables.

The degree is 5 (since the largest exponent is 5)

Examples of Non- Polynomials

Example Polynomial Explanation

5x^-2 +1 Not a polynomial because a term has a negative exponent

3x^½ +2 Not a polynomial because a term has a fraction exponent

(5x +1) ÷ (3x) Not a polynomial because of the division

solve for x. 7(x+2)=6(x+5) ​

Answers

Answer:

16

Step-by-step explanation:

7x+14=6x+30

Move x into one side and whole numbers to the other.

Solve like linear equation.

7x+14=6x+30

7x-6x=30-14

x=16

Answer:

x = 16

Step-by-step explanation:

7(x+2)=6(x+5) multiply

7x + 14 = 6x + 30 add like terms

7x - 6x = 30 - 14

x = 16

46% of 125.7 is what?
a. 1.22
b. 57.8
C. 5782.2
d. 273.3

Answers

Answer:

B. 57.8

Step-by-step explanation:

Changing 46% to a decimal it would be 0.46

125.7 * 0.46 = ?

125.7 * 0.46 = 57.822

57.822 rounds to 57.8 which is answer B.

Answer:

It's 57.823

Step-by-step explanation:

I looked it up lol

Simone got 3/4 of a full bar of chocolate. Aly was supposed to get 1/4 of the full chocolate barshe has to get her share from Simone. What fraction of Simone's chocolate should Aly get? Make a math drawing that helps you solve this problem.

Answers

Answer:

4/8thes

Step-by-step explanation:

Esme buys jacketsfor 500 each and prices them for 700 each.If the selling price is reduced by 20%. how much profitdoes Esme make on each items .​

Answers

Answer:

($) 60 is the profit per item when the selling price is reduced by 20%

Step-by-step explanation: 20% of 700 is 140.

The original profit is 700 - 500 = 200. The selling price is 140 less, Subtract 140 from 200. That leaves a profit of 60. (Not necessarily dollars, as the currency was not given in the question.)

Solve for x: 4 - (x + 2) < -3(x + 4) A. x < -7 B. x > -7 C. x < -9 D. x > -9​

Answers

Answer:

C is the answer

Step-by-step explanation:

Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below: He concludes that she is not running fast enough to exceed her fastest time. \

Answers

Answer:

Answer: The question is a multiple choice so it's A and C:

Answer:

He used an incorrect time ratio converting hours to minutes.

He incorrectly concluded that she is not running fast enough.

Simplify. 2 × (3 – 1) + 3

Answers

The answer would be 7

Which of the following ordered pairs is not a solution of the system of inequalities? y > x2 – 4x – 5 y < –x2 – 5x + 6 Question 62 options: A) (1, 7) B) (1, –7) C) (1, –5) D) (–1, 6)

Answers

Answer:

a) (x, y) = (1, 7)

Step-by-step explanation:

Let be the following system of inequalties:

[tex]y > x^{2}-4\cdot x -5[/tex]

[tex]y < -x^{2}-5\cdot x +6[/tex]

We can find the right option by evaluating each option in the system of inequalities:

a) (x, y) = (1, 7)

[tex]7 > 1^{2}-4\cdot (1) -5[/tex]

[tex]7 < -1^{2}-5\cdot (1) +6[/tex]

Then,

[tex]7>-8[/tex] (TRUE)

[tex]7<0[/tex] (FALSE)

(1, 7) is not a solution of the system of inequalities.

b) (x, y) = (1, -7)

[tex]-7 > 1^{2}-4\cdot (1) -5[/tex]

[tex]-7 < -1^{2}-5\cdot (1) +6[/tex]

Then,

[tex]-7 > - 8[/tex] (TRUE)

[tex]-7< 0[/tex] (TRUE)

(1, -7) is a solution of the system of inequalities.

c) (x, y) = (1, -5)

[tex]-5 > 1^{2}-4\cdot (1) -5[/tex]

[tex]-5 < -1^{2}-5\cdot (1) +6[/tex]

Then,

[tex]-5 > - 8[/tex] (TRUE)

[tex]-5< 0[/tex] (TRUE)

(1, -5) is a solution of the system of inequalities.

d) (x, y) = (-1, 6)

[tex]6 > (-1)^{2}-4\cdot (-1) -5[/tex]

[tex]6 <(-1)^{2}-5\cdot (-1)+6[/tex]

Then,

[tex]6>0[/tex] (TRUE)

[tex]6 < 12[/tex] (TRUE)

(-1, 6) is a solution of the system of inequalties.

Therefore, we conclude that correct answer is A.

Answer:

Its Not (1,7) i took the test and missed it

Step-by-step explanation:

Other Questions
Divide $70 in the ratio 1:2:4 how does "money breeds money" apply to simple interest 2. The seventh grade class is putting on a variety show to raisemoney. It cost $700 to rent the banquet hall that they are going touse. If they charge $15 for each ticket, how many tickets do theyneed to sell in order to raise at least $1000? A spacecraft is orbiting the Sun, and makes a maneuver to slow down at aphelion. Then, in the new orbit:A. the new aphelion will be farther from the Sun and the perihelion will be unchangedB. the new perihelion will be farther from the Sun and the aphelion will be unchangedC. the new perihelion will be closer to the Sun and the aphelion will be unchangedB. the new aphelion will be closer to the Sun and the perihelion will be unchanged 1.Solve the following crossword puzzle and use the vocabulary to answer exercise 2. Escribe sobre cada cuadro. Mirar el ejemplo 9 es un cuestionario a porfaaaa es para hoy What teaching methods help you the most (direct instruction, watching videos, teaching others) and why? the perimeter of the isosceles triangle with base length y-2 and legs of length y Paw Locker has the highest Return on Assets in its comparison group. Which of the following could be a secret to its success?(select all that apply)(Hint: look carefully at the definition of ROA to find only the items that will affect the ratio)CompanyReturn on EquityReturn on AssetsFinancial LeverageReturn on SalesAsset TurnoverDog Nation0.1770.0603.7400.0262.338Dog Shoe Warehouse0.1780.1191.5010.0651.828Hound Smart0.1770.1121.7620.032.930Paw Locker0.1770.1261.4300.0651.927Pooch Mart0.1770.1111.6390.0571.938a. Able to charge a higher price than Pooch Martb. Holds lower inventory levels than Dog Shoe Warehousec. Uses more equity financing than Dog Nationd. Pays less interest expense than Pooch Marte. Uses less debt financing than Hound Smart . Find the angle which is equal to one-eight of its supplement. The best explanation for why the byzantine empire could not expand Christianity to the east and the south is that... A. nomadic mongols threaten invasion B. the Islamic caliphate blocked expansion C. Visigoths claimed areas to the east and south Constantinople D. trade along the silk Rode would have been harmed by missionary activity Which sentence from that passage most strongly supports the answer to Question 72Answer choices for the above questionA 'Yet some men say in many parts of England that King Arthur is not dead, but was taken bythe will of our Lord Jesus into another place."B. "And men say that he shall come again and shall win the Holy Crossc. Yet I will not say that it shall be so rather, I would say that here in this world he changed hisform of theD. But many men say that there is written upon his tomb this line: HERE LES ARTHUR I THEONCE AND FUTURE KING The main factor which effects the speed of a sound wave is the ____ Central Park in New York City is shaped like a rectangle. On a map of the park in the coordinate plane, three of the vertices are located at (-1.25,-0.25) (-1.25, 0.25), and (1.25, 0.25). Distances on the map are in miles. What is the perimeter of Central Park? Show your work. -2x-10x+12=18 Help me plz A team of analysts at Amazon is researching the viability of producing a smart watch. How might they estimate potential demand for their smart watch?a. Consider the four-step process that many companies follow to estimate the market demand curve for their product. Place the steps in order, with the first step in the highest position and the last step in the lowest position.survey customersplot the demand curvescale up the quantities demanded by the survey respondentsadd up the total quantity demanded by the customers at each price pointb. Select two factors that the analysts want to keep in mind to create the most accurate demand estimates.cost of inputs to productioninformation about climate changeexisting competition in the marketconsumer demographic information At noon, the temperature in Ebonsville, Texas was 29. By midnight, the temperature had fallen to 10. What was the change in temperature over the 12-hour period? All the radiation absorbed in the Earth's atmosphere is absorbed in the stratosphere.Please select the best answer from the choices providedOTOFvitNextSubmit what does a graphic designer need to do to monitor the progress of the project Help?? Why was the Battle of Yorktown such a devastating defeat for the British? It was their first defeat in years. It led to French entry into the war. Casualties were enormously high. The British lost an entire army. what's mixed farming