3a - 6a + 20 = 8a + 24 - 5a - 4

Answers

Answer 1

Step-by-step explanation:

-3a + 20 = 3a + 20

-6a + 20 = 20

-6a = 0

a = 0

Answer 2

Answer: a=0

Step-by-step explanation:

Given

3a-6a+20=8a+24-5a-4

Combine like terms on both sides

-3a+20=3a+20

Subtract 3a on both sides (subtractive property of equality)

-6a+20=20

subtract 20 on both sides (subtractive property of equality)

-6a=0

Divide -6 on both sides (division property of equality)

a=0

Hope this helps!! :)

Please let me know if you have any question or need further explanation


Related Questions

Composition of functions

Answers

For example, in the composition of(f g)(x) = f(g(x)), we need to replace each x found in f(x), the outside function, with g(x), the inside function. Step 3: Simplify the answer. Examples – Now let's use the steps shown above to work through some examples. Example 1: If f(x) = –4x + 9 and g(x) = 2x – 7, find(f g)(x).

easy 10 points and brainliest!

Answers

Answer:

Quadrant II

Step-by-step explanation:

Since x < 0 and y > 0, that means the point (x,y) is located to the left and up from the origin, meaning quadrant II.

Cheers.

I believe its quadrant 10

Find the area of the shape.

Answers

Your question has been heard loud and clear.

Alright , so basically , the area of a circle formula = pi * R squared

R = radius = 4 units

Pi = 3.14

So , Area =  3.14 into 4 =  12.56 units

So Area of the circle = 12.56 units

Thank you

Answer:

The area is 50.24

Step-by-step explanation:

Here is the equation to find the area of a circle (π=3.14):

A=πr²

A=3.14·4²

A=3.14·16

A=50.24

Five times the sum of a number and 4 is -15.

Answers

number is 3.8

subtract 4 from -15 then divide by five

Rebecca Wilson was the top scorer in a​ women's professional basketball league for the 2006 regular​ season, with a total of 846 points. The number of​ two-point field goals that Rebecca made was 77 less than double the number of​ three-point field goals she made. The number of free throws​ (each worth one​ point) she made was 30 less than the number of​ two-point field goals she made. Find how many free​ throws, two-point field​ goals, and​ three-point field goals Rebecca Wilson made during the 2006 regular season.

Answers

Answer:

Number of two point goals = 169

Number of three point goals = 123

Number of free throws = 139

Step-by-step explanation:

Let the number of two point goals = [tex]x[/tex]

Let the number of three point goals = [tex]y[/tex]

Let the number of free throws = [tex]z[/tex]

As per the given statements:

[tex]x = 2y-77 ...... (1)[/tex]

[tex]z = x-30 ...... (2)[/tex]

Using equation (1):

[tex]z = 2y-107[/tex] ...... (3)

Total number of points from two point goals  = [tex]2x[/tex]

Total number of points from three point goals  = [tex]3y[/tex]

Total number of points from free throws  = [tex]z[/tex]

[tex]2x+3y+z=846[/tex]

using (1) and (3):

[tex]2(2y-77)+3y+2y-107=846\\\Rightarrow 4y-154+5y-107=846\\\Rightarrow 9y-261=846\\\Rightarrow 9y=846+261\\\Rightarrow 9y=1107\\\Rightarrow y =123[/tex]

By (1):

[tex]x = 2\times 123-77 =169[/tex]

By (3):

[tex]z =2\times 123-107 = 139[/tex]

So, answers are:

Number of two point goals = 169

Number of three point goals = 123

Number of free throws = 139

In a trivia contest, players from teams and work together to earn as many points as possible for their team. Each team can have 3 and 5 players. Each play can score up to 10 points in each round of the game. Elena and four of her friends divided to form a team and play a round. Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents

Answers

Answer:

The inequality for each quantity described is given as follows;

0 ≤ A + B + C + D + E ≤ 50

Step-by-step explanation:

The given information are;

The number of players each team can have = between 3 and 5

The maximum number of points a player can score in each round of the game = 10 points

The number of players in Elena's team = Elena + 4 = 5 players

The total number of points Elena's team earns at the end of the round is given as follows;

0 ≤ A + B + C + D + E ≤ 5 × 10

Where the variables A, B, C, D, and E are the points each of Elena and are  makes such that the minimum points is 0 + 0 + 0 + 0 + 0 = 0 and the maximum point is 10 + 10 + 10 + 10 + 10 = 5 × 10 = 50, which gives;

0 ≤ A + B + C + D + E ≤ 50.

If  BD BC, BD = 5x – 26, BC = 2x + 1, and AC = 43, find AB.

Answers

Answer:

AB = 24

Step-by-step explanation:

BD = 5x – 26

BC = 2x + 1

AC = 43

Using the segment addition postulate, AC = AB + BC.

We know that BD = BC, BD = 5x-26 and BC = 2x+1.  We can set up an equation to find the value of x:

5x - 26 = 2x + 1   Subtract 2x from each side

5x - 26 - 2x = 2x + 1 - 2x

3x-26 = 1  Add 26 to each side

3x-26+26 = 1+26

3x=27  Divide both sides by 3

3x/3 = 27/3

x = 9

This means that BC = 2x + 1 = 2(9) + 1 = 18 + 1 = 19.

We know that AC = AB + BC; using our given information as well as the value of BC we just found, we have

43 = AB + 19  Subtract 19 from each side

43 - 19 = AB + 19 - 19

24 = AB

In a pizza eating contest, a participant can eat 3 slices of pizza in 2 minutes. If he continues to eat at this rate, then how many slices of pizza will he eat in 10 minutes?

Answers

If you eat 3 slices of pizza in 2 minutes, you will be able to eat 15 slices of pizza in 10 minutes.

Look at this graph:

What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer: 1/3

Step-by-step explanation:

Two points on this graph are (40, 80) and (70, 90). These points can be used to find the slope. The formula for slope is (y2-y1)/(x2-x1).Plugging our numbers into the formula: (80-90)/(40-70) = (-10)/(-30) = 1/3

Sue buys a certain brand of cereal that costs $12 per box. Sue changes to a super-saving brand of the same size. The equation shows the price, y, as a function of the number of boxes, x, for the new brand. y = 8x Part A: How many more dollars is the price of a box of Sue's original brand of cereal than the price of a box of the super-saving brand? Show your work. Part B: How much money does Sue save each month with the change in cereal brand if she buys 4 cereal boxes each month? Show your work. (10 points) PLEASEEEEEE help

Answers

Answer:

part A : $4

part B : $16

Sue buys a certain brand of cereal that costs = $12 per box.

She changes to a super-saving brand of the same size.

The equation showing price y as a function of the number of boxes, x is for the new brand.

y = 8x

for x = 1, y = 8

So for 1 box super-saver cereal brand costs $8.00

Part A. - So saving per box = 12 - 8 = $4

Part B. - Money saved in 1 box = $4

Therefore, money saved in 4 boxes = 4 × 4 = $16

HOPE THIS HELP YOU FRIEND

The price of the Sue's original box is  $4 more than the super saving brand's box. Sue saves $16 per month if she buys 4 cereal boxes each month.

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we're specified that:

Price of original cereal box = $12 per box.Price of super saving box = y = 8x, where x is the number of boxes.

putting x= 1, we get y = 8. Thus, for each box of super saving brand, Sue pays $8.

The difference between both box's price is: 12 - 8 = 4 dollars.

Also, as Sue saves 4 dollars on each box of cereal, and she buys 4 boxes of cereal, then if she buys the boxes of super saving brands, then she saves 4 dollars per box for 4 boxes, whose total is 4 times 4 =  16 dollars.

Thus, the price of the Sue's original box is  $4 more than the super saving brand's box. Sue saves $16 per month if she buys 4 cereal boxes each month.

Learn more about forming equations here:

https://brainly.com/question/11938672

1.25+3/4+4/10+2 x 3/8+ 1.6

Answers

Answer:

(3x/4) + 4

Step-by-step explanation:

convert al to decimal and then add

1.25 + 0.75 +0 .4 + 2x 0.375 + 1.6

Truck has a trailer that has a length of 13 feet width of 6 feet and a height of 8 feet what is the volume of the trailer

Answers

Answer:

624ft^3

Step-by-step explanation:

the formula for volume is lengthxwidthxheight.

so it would be 13x6x8

and that sum is 624ft^3

Will give brainliest -2u+6w=9 rearrange the equation so w is an independent variable. PLEASE HELP!

Answers

Answer:

[tex]\Large \boxed{w=\frac{2u+9}{6} }[/tex]

Step-by-step explanation:

[tex]-2u+6w=9[/tex]

Adding 2u to both sides.

[tex]6w=9+2u[/tex]

Dividing both sides by 6.

[tex]\displaystyle w=\frac{2u+9}{6}[/tex]

Answer:

So we have this equation:

[tex]-2u + 6w = 9[/tex]

And we need to rearrange it to make the w an independent variable.

That means we need to solve the equation for w:

[tex]-2u + 6w = 9[/tex]

First thing we need to do is passing the [tex]-2u[/tex] to the right summing:

[tex]6w = 9 + 2u[/tex]

Next, we can pass the 6 (which is multiplying the w) to the right dividing:

[tex]w = \frac{9+2u}{6}[/tex]

we can also write it as this:

[tex]w = \frac{9}{6}+\frac{2u}{6}=\frac{3}{2}+\frac{u}{3}[/tex]

The university bought a total of 2200 computers they bought three kinds of computers HP IBM and dell the ratio of the number of HP computers to IBM to dell is 2/3 and 6 each HP computer cost $750 each. Computer cost 90% of the price of the HP computer if the university spent a total 1650000 what is the cost of each IBM computer

Answers

Complete question :

The University but a total of 2200 computers they bought three kinds of computers HP, IBM and dell. The ratio of theNumber of HP computers to IBM to dell is 2:3:6 each HP computer cost $750 each dell computer cost 90% of the price of an HP computer if the University spent a total of $1,650,000 what is the total cost of each IBM computer

Answer:

$900

Step-by-step explanation:

Given that :

Total amount of computers purchased = 2200

Number of brands purchased = 3;

HP, IBM and DELL

The ratio of theNumber of HP computers to IBM to dell is 2:3:6

Cost per HP = $750

Cost per Dell = 90% of HP = 0.9 × $750 = $675

Total amount spent = $1,650,000

2:3:6 = (2+3+6) = 11

Number of IBM computers purchased :

(3/11) * 2200 = 600 IBM

(2/11) * 2200 = 400 HP

(6/11) * 2200 = 1200 DELL

TOTAL Cost of HP = (400 × $750) = $300,000

TOTAL cost of Dell = (1200 * $675) = $810,000

TOTAL cost of IBM :

$1,650,000 - ($300,000 + $810,000)

$1,650,000 - $1,110,000 = $540,000

Cost of each IBM:

540,000 / 600 = $900

A plumber has a 20Foot piece of PVC pipe. How many nine over foot pieces can be cut from the 20 5 piece

Answers

Answer: 11

Step-by-step explanation: divide the total length of pvc pipe by the individual piece

It costs 4.75 for a pack of 25 pencils. Find the unit price in dollars per pencil. If necessary, round your answer to the nearest cent.

Answers

Answer:

0.19

Step-by-step explanation:

the easiest way to solve for this is 4.75/25 (division). This is assuming I read this right and your asking the price of each individual pencil

0.19 dollars is the unit price.

As we can see that a pack of 25 pencils costs 4.75 dollars

So the cost for 1 pencil would be 4.75/25

=0.19

What does the pack mean?

A group of friends or a group of something

What is a pack example?

An example of to pack is putting collectibles in a box to be stored away. An example of to pack is putting your child's lunch in a lunch box for them to take to school.

An example of to pack is placing what you'll need for a weekend trip in a piece of luggage.

Learn more about nearest value here:https://brainly.com/question/7676027

#SPJ2

.

Complete the inequality below to describe the
domain of the graph shown.
Domain:
DONE
Complete the inequality below to describe the
range of the graph shown.
Range:
Sy <5
-5
or
DONE

Answers

Answers:

Domain:  [tex]-4 < x \le 4[/tex]

Range:  [tex]-2 \le y < 5[/tex]

=======================================

Explanation:

The domain is the set of allowed x values.

The left-most point on this graph is at (-4,5). This means x > -4 or -4 < x. The open hole indicates we don't include x = -4 as part of the domain.

The right most point is at (4,-2). So [tex]x \le 4[/tex]

Combine [tex]-4 < x[/tex] and [tex]x \le 4[/tex] together to get the domain [tex]-4 < x \le 4[/tex]

----------------------

The range is the set of possible y values.

The range spans from -2 to 5, including -2 but excluding 5. This is because the smallest y value possible is y = -2, and the upper bound for the y values is y < 5 due to the open hole.

Therefore the range is the compound inequality [tex]-2 \le y < 5[/tex]

Answer: domain - -4

Range- -2

Step-by-step explanation:

A pine block has a mass of 11.31 grams and a density of 0.40 g/cm3​ ​, what is the volume of this block?

Answers

Answer: 28.275cm^3

Step-by-step explanation: The density equation is mass/volume, and you can rearrange the equation to figure out what the volume is. By rearanging the equation, you get that volume= mass/ density. So 11.31/0.40=28.275cm^3

Andrew, Marco, and Kenjo are going to
the movies. They want to sit together in
the same row. How many different seating
orders are possible?

Answers

Answer:

There are 6 seating orders possible.

Step-by-step explanation:

1. Andrew, Marco, Kenjo

2. Marco, Kenjo, Andrew

3. Kenjo, Marco, Andrew

4. Kenjo, Andrew, Marco

5. Andrew, Kenjo, Marco

6. Marco, Andrew, Kenjo

multiply the sum of 7/8 and 3/4 by the differences of 5/36 from 11/13

Answers

Answer:

[tex]=-\frac{331}{288}=-1.14930\dots[/tex]

Step-by-step explanation:

[tex](\frac{7}{8} + \frac{3}{4} )\times (\frac{5}{36} - \frac{11}{13} )\\\\\mathrm{Join}\:\frac{7}{8}+\frac{3}{4}:\quad \frac{13}{8}\\\\=\frac{13}{8}\left(\frac{5}{36}-\frac{11}{13}\right)\\\\\mathrm{Join}\:\frac{5}{36}-\frac{11}{13}:\quad -\frac{331}{468}\\\\=\frac{13}{8}\left(-\frac{331}{468}\right)\\\\=-\frac{13}{8}\times\frac{331}{468}\\\\\mathrm{Cross-cancel\:common\:factor:}\:13\\=\frac{1}{8}\times\frac{331}{36}\\\\=-\frac{1\cdot \:331}{8\times\:36}\\\\=-\frac{331}{288}[/tex]

Evaluate 4.1 + 6. 16 + 0.

Answers

The answer to 4.1+6.16+0. Is 10.26

Is 3.12 repeating a irrational or a rational

Answers

Answer:

a repeating decimal can be written as a fraction using algebraic methods, so any repeating decimal is a rational number.

Answer:

repeating decimals are rational becoz they can be written in the form p/q

Step-by-step explanation:

How many sets of distinct odd positive integers have a sum of 16?

Answers

Answer:

Answer:

I think its 4

Step-by-step explanation:

hope this helps

In 2010 Sacramento received 23 inches in annual precipitation , in 2011 the city received 17 inches in anual percpation , in which year was there more precpition?

Answers

Answer:

There was more precipitation in the year 2010.

Step-by-step explanation:

Here in this question, we have the data for the amount of precipitation received in two different years in a city called Sacramento.

Now, we are tasked with finding in which of the two years was there more precipitation.

From the question, we can identify the following;

in 2010, precipitation was 23 inches

in 2011, precipitation was 17 inches

We can see that 23 inches is greater than 17 inches. So what this mean is that the precipitation in 2010 was more than the precipitation received in 2011.

How many inches are in 8 feet?

Answers

Answer: 96

Step-by-step explanation:

Answer: 96 inches

Step-by-step explanation:

1 Feet=12 inches

--------------------------------

So.....

8 Feet= 12 × 8 inches

8 Feet= 96 inches

Hope this helps!! :)

Please let me know if you have any question

Every negative integer J is less than or equal to its inverse

Answers

Answer:

Here we have the statement:

" Every negative integer J is less than or equal to its inverse"

First, remember that when we are talking about negative numbers, the ones that are closer to 0 are the larger ones.

For example, if we have -1 and -5

-1 is closer to zero, then:

-1 > -5

Now we have a negative integer J.

The smallest negative integer is -1

it's inverse is 1/-1 = -1

Then, if j = -1:

j = 1/j

-1 = 1/-1 = -1

and if  j < -1 (-2, -3, -4, -5.......)

then for example, for j = -2

1/-2 = - (1/2)

and (-1/2) is a number between -1 and 0

So it is closer to zero than -2

then:

(-1/2) > -2.

Then, concludin, if IjI > 1, we have always that  0 > 1/j > -1 > j.

10x-10=5(x+1) Wht is x

Answers

Answer:

x = 3

Step-by-step explanation:

We know:

10x - 10 = 5 ( x + 1 )

Distribute/ Multiply:

10x -10 = 5x + 5

Rearrange equation:

10x - 5x = 5 + 10

Combine like terms:

5x = 15

Divide:

x = 3

The element bromine turns into a liquid at 27°C, and it turns into a gas at 59°C From the temperature at which bromine becomes a liquid, by how many degrees must the temperature change for it to turn into a gas?

Answers

Answer:

32°C

Step-by-step explanation:

 59°C - 27°C = 32°C

Use PEMDAS to answer the following: 3(2x + 7)=

Answers

Answer:

Step-by-step explanation:

Use the Distributive Property to multiply.

3(2x + 7)  = (3 x 2x) + (3 x 7)

(3 x 2x) + (3 x 7)

Solve.

3 x 2x = 6x

3 x 7 = 21

6x + 21

You cannot simplify this.

So the answer is 6x + 21.

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

The function ​f(x) models the average cost per​ unit, f(x), for Electrostuff to manufacture x units of Electrogadget IV. How many units must the company produce to have an average cost per unit of ​? Round to the nearest integer.

Answers

Complete question is;

The function ​f(x) = (25000 + 280x)/x models the average cost per unit, f(x), for Electrostuff to manufacture x units of Electrogadget IV. How many units must the company produce to have an average cost per unit of $390?

Answer:

227 units

Step-by-step explanation:

We are given the function;

​f(x) = (25000 + 280x)/x

Where;

f(x) is the average cost per unit

x is the number of units

Now, we want to find out how many units the company must produce to have an average cost per unit of $390.

Thus, plugging $390 for f(x), we have;

390 = (25000 + 280x)/x

When we cross multiply, we get;

390x = 25000 + 280x

390x - 280x = 25000

110x = 25000

x = 25000/110

x ≈ 227

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