3(x+2)=5x-7
Work out value of x

Answers

Answer 1

Answer:

first distribute:

3x+6=5x-7

then combine the x's:

-2x+6=-7

get rid of the 6:

-2x=-13

divide the 2:

6.5

Step-by-step explanation:

Answer 2

Answer:

x = 13/2

Step-by-step explanation:

3(x+2) = 5x-7 3x+6 = 5x-73x-5x = -7-6-2x = -13x = -13/-2x = 13/2

Related Questions

75 is 15% of what number​

Answers

75 is 15% of 500!! If you get it wrong IM SO SORRY!!

Answer: 113.3333 (repeating 3’s)

Step-by-step explanation:

17 = 15%

divide 15 and 17 by 3 to get 5% and then multiply by 2 to get 10%

11.33 = 10%

multiply 10 and 11.33 by 10 to get 100%

113.33 = 100%

what is -3 (x+2) = 16 -x

Answers

Answer:

x = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

-3(x + 2) = 16 - x

Step 2: Solve for x

[Distributive Property] Distribute -3:                                                                -3x - 6 = 16 - x[Addition Property of Equality] Add x on both sides:                                     -2x - 6 = 16[Addition Property of Equality] Add 6 on both sides:                                    -2x = 22[Division Property of Equality] Divide -2 on both sides:                                x = -11

which ratios do not form a proportion.
A. 24/96,27/108
B. 17/102,27/108
C. 21/51,35/85
D. 45/75,63/105

Answers

Answer:

B. 17/102,27/108 do not for proportion

the acceleration in centimeters per second of a projectile is modeled by

Answers

Answer:

The Acceleration, In Centimeters Per Second Per Second, Of A Projectile Is Modeled By A (T) = 21" - 156 + 36, Where T Is Measured in seconds

100 POINTS!!!!! WILL GIVE BRAINLIEST!!!!!!!
Show that: (a + bi)^2 = (a + b)(a − b) + 2abi

Answers

Step-by-step explanation:

(a + bi)^2 = (a + b)(a − b) + 2abi

= a² + (bi)² + 2 * a * bi

= a² + b²i² + 2abi

= as i² = -1

= a² - b² + 2abi

= (a + b) (a - b) + 2abi

The equation ( a + bi )² is simplified as A = ( a + b ) ( a - b ) + 2abi

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = ( a + bi )²   be equation (1)

On simplifying the equation , we get

A = ( a )² + ( ib )² + 2iab

Now , the value of i² = -1

A = a² + i²b² + 2iab

Substituting the value of i in the equation , we get

A = a² - b² + 2iab

Now , the value of ( a² - b² ) = ( a + b ) ( a - b )

Substituting the values in the equation , we get

A = ( a + b ) ( a - b ) + 2iab

Therefore , the value of A is ( a + b ) ( a - b ) + 2iab

Hence , the equation is ( a + b ) ( a - b ) + 2abi

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Solve each question with the quadratic formula
6a² + 10 = 0


I know the answer but I'm not to sure how imaginary roots work. I would really appreciate if someone could explain how imaginary roots work! :)

Answers

Answer:

[tex]\boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]

[tex]\boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]

Step-by-step explanation:

[tex]\sf 6a^2 + 10 = 0[/tex]

We'll solve this equation using The Quadratic Formula:

[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac} }{2a} }[/tex]

[tex]\sf 6a^2 + 10 = 0[/tex]

Substitute 6: a, 0: b, 10: c

[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{0^2-4\times 6\times 10} }{2\times 6}[/tex]

→ Square 0

→ Multiply -4 * 6= -24

→ Multiply -24 * 10 = -240

[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{-240} }{2\times 6}[/tex]

→ Take the square root of -240:

Multiply 2 * 6= 12

Now, Separate solutions:

[tex]\longmapsto\sf a=\cfrac{0\pm 4\sqrt{15i} }{12}[/tex]

Now, Separate solutions:

First, solve the equation when ± is plus:

[tex]\longmapsto \boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]

___

Now, solve it when ± is minus:

[tex]\longmapsto \boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]

__________________________________________

[tex]\sf\longmapsto 6a^2+10=0[/tex]

a=6b=0c=10

[tex]\sf\longmapsto a=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex](This a is root of equation)

[tex]\sf\longmapsto a=\dfrac{-0\pm\sqrt{0^2-4(6)(10)}}{2(6)}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{-240}}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{240}i}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm 4√15i}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm √15i}{3}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm √3√5i}{3}[/tex]

[tex]\sf\longmapsto a=\pm\dfrac{√5i}{\sqrt{3}}[/tex]

[tex]\sf\longmapsto a=\pm\sqrt{\dfrac{5}{3}}i [/tex]

What is i?

i stands for iota.

[tex]\sf\longmapsto i=\sqrt{-1}[/tex]

PLEASE HELP!!!! ASAP

Answers

Answer:

78/5

Step-by-step explanation:

1/5 5x + 12 = 18

There is sandwich meat in the refrigerator. There is 2 and 3/4 pounds of roast beef, 1 and 7/8 pounds of turkey, and 2 1/16 pounds of salami.
If you must put 1/4 of a pound of meat on sandwiches, how many whole sandwiches of each type can you make? there is 26 but how much is left

Answers

The amount of meat that is to be added to each sandwich is expressed as a fraction of a unit mass of one pound.

First part

Number of roast beef sandwiches  are 11 sandwiches.Number of turkey sandwiches are 7 sandwiches.Number of salami sandwiches are 8 sandwiches.

Second part

All the roast beef left are usedThe amount of salami left is 0.0625 lb.The amount of turkey left is 0.125 lb.

Reasons:

The amount of roast beef = 2  and 3/4 lb

The amount of turkey = 1 and 7/8 pounds

The quantity of salami = 2 1/16 pounds

The amount of meat that goes with a sandwich = 1/4 pounds

[tex]\displaystyle Sandwiches \ with \ roast \ beef = \mathbf{\frac{2 + \frac{3}{4} }{\frac{1}{4} }} = 11[/tex]

The number of roast beef sandwiches that can be made = 11 sandwiches

[tex]\displaystyle Sandwiches \ with \ turkey =\frac{1 + \frac{7}{8} }{\frac{1}{4} } = \mathbf{7.5}[/tex]

The number of turkey sandwiches that can be made = 7 sandwiches

[tex]\displaystyle Sandwiches \ with \ salami = \frac{2 + \frac{1}{16} }{\frac{1}{4} } = \mathbf{8.25}[/tex]

The number of salami sandwiches that can be made = 8 sandwiches

The total number of whole sandwiches = 11 + 7 + 8 = 26

The total number of whole sandwiches that can be made = 26 sandwiches

The amount of each meat left is given by the product of the fraction of a sandwich made by the meat and [tex]\displaystyle \mathbf{\frac{1}{4}}[/tex]

Therefore;

The amount of roast beef left = 0 × [tex]\displaystyle \frac{1}{4}[/tex] = 0

[tex]\displaystyle The \ amount \ of \ turkey \ left = 0.5 \ lb \times \frac{1}{4} = \underline{0.125\ lb}[/tex]

[tex]\displaystyle The \ amount \ of \ salami\ left = 0.25 \ lb \times \frac{1}{4} = \underline{0.0625 \ lb}[/tex]

Learn more about fractions here:

https://brainly.com/question/14297620

When can you write ratios as fractions?

Answers

Yes I ca-n YOU eritemul raționale as
Given a ratio of two integers, write it as a fraction
Given a ratio of two decimals, write it as a fraction
Given a ratio of two mixed numbers, write it as a fraction

So I finished the graph, But I need help making the table please help whoever answers correctly, I will mark brainliest 10. Cornett Cable charges $32.50 a month for basic cable television. Each preminium channel selected costs an additional $4.95 per month. b. Make a table to show the monthly cost for 0,1,2,3, and 4 premium channels. Then graph the ordered pairs​ this is the last thing then I'll stop Also, no links please

Answers

Answer:

Here it is. The table is on the first one at the bottom.

Step-by-step explanation:

Find the slope of the line shown below.​

Answers

Hello! :)

The slope of this line is 0.

Remember, to find the slope, we divide the rise by the run. The rise is how many units we move up; the run is how many units we move right or left.

Here, we move 0 units up, so the rise is 0.

No matter what the run is, the slope is 0 anyway.

Hope it helps you!

If you have any questions, feel free to ask! (:

~An excited gal

[tex]SparklingFlower :)[/tex]

Answer:

its 0 sowe

Step-by-step explanation:

-2x+9y=-41
-2x-5y=1

Process of elimination

Answers

-2x+9y=41.... equation 1

-2x-5y=1 ....equation 2

________________

14y=43

y=43/14

y=43/14 in equation 1

-2x+9(43/14)=41

-2x+387/14=41

-2x=41-387/14

-2x=187/14

x=187/-28

x=187/28 , y=43/14

if you want to check your answer

-2(187/28)+9(43/14)=41

Given that a randomly chosen flight arrives in Atlanta (ATL), what is the probability that it arrives on time?

Answers

Using the given percentage, it is found that there is a 0.877 = 87.7% probability that it arrives on time.

A probability is the number of desired outcomes divided by the number of total outcomes.Over a large sample, a percentage can be interpreted the same as a probability.

In this question, over a large number of flights, 87.7% arrive on time in Atlanta. Hence, there is a 0.877 = 87.7% probability that it arrives on time.

For more on probabilities, you can check https://brainly.com/question/15536019

what is 10/13 as a decimal rounded to the nearest hundredth

Answers

Answer:

.770

Step-by-step explanation:

2y=12x-10 and y+=6x+12 Do the lines intersect, coincide, or are they parallel? 50 pts and ill give brainly to correct answer

Answers

Answer:

parallel

Step-by-step explanation:

Answer:intersect

Step-by-step explanation:


[tex]\Large\mathtt\color{red}{H}\color{orange}{E}\color{yellow}{L}\color{lime}{P}\color{green}{M}\color{cyan}{E}\color{aquamarine}{!}[/tex]



[tex]\Large\mathtt\color{cyan}{╭──━━━═══════━━━──╮}╭──━━━═══════━━━──╮[/tex]

5400 ÷ 300000

[tex]\Large\mathtt\color{cyan}{╰──━━━═══════━━━──╯}╰──━━━═══════━━━──╯[/tex]




[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{WITH}}}}[/tex]
[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{SOLUTION}}}}​[/tex]









[tex]\tt\colorbox{blue}{\boxed{\colorbox{red}{ \color{pink}{ \rm{ NONSENSE = REPORT }}}}}[/tex]

​​ ​​​

Answers

Step-by-step explanation:

[tex] \\ {5400} \div 300000[/tex]

[tex] \\ = \frac{5400}{300000} [/tex]

[tex] \\ = \frac{ \cancel{5400}}{ \cancel{300000}} [/tex]

[tex] \\ = \frac{9}{500} [/tex]

[tex] \\ = 0.018[/tex]

knife is 3 times cost of spoon
9 spoons and 12 knifes is £82.80
what is 1 knife

Answers

Answer:

The cost of spoon is £1.84 and therefore the cost of one knife is £5.52.

Given :

A knife is 3 times the cost of the spoon. 9 spoons and 12 knives costs £82.80.

Solution :

This question is solve by creating a linear equation and linear equations are nothing but yet another subset of "equations". Linear calculations that requires more than one variable can be done with the help of linear equations. The standard form of a linear equation in one variable is ax + b = 0.

Now let x be the cost of spoon. Than the cost knife is 3x. It is given that 9 spoons and 12 knives costs £82.80.

[tex]9x + 12 x (3x) = 82.809x + 36x = 82.8045x = 82.80x = 1.84[/tex]

Therefore the cost of 1 knife = 5.52

Step-by-step explanation:  [tex]1.84 x 3 = 5.52[/tex]

What is the slope of the line?

Answers

Answer:

thanks

Step-by-step explanation:

How to solve algebraic inequalities.

Answers

Algebraic inequalities can be solved in the same way in which algebraic equations are solved.

An art club sells 42 large candles and 56 small candles.



a. Use the Distributive Property to write and simplify an expression for the profit.

expression for the total profit:
_(_-x) + (_-y)
simplified expression for the total profit:

b. A large candle costs $5, and a small candle costs $3. What is the club’s profit?

club's profit: $

Answers

Answer:

(700-42-56)

Step-by-step explanation:

10-x

5-y

4 in a cell of 42 large candles and 56 small candles the total profit would be p equals 40 to 10 - x + 56 * 5 - y

a ring is now reduced to £840
this is saving 40% of the original price
work out the original price of the ring

Answers

Answer:

The original price of the ring is 1400 pounds. So, 100 pounds is equivalent to= (840/60)* 100 = 1400 pounds.

Answer:

1400 pounds

Step-by-step explanation:

the ring is now worth 60% of its original price

the percentage in decimal is equal: 60% = 0.6

[tex]\frac{840}{0.6} =1400[/tex]

Hope this helps

please help me
the denominator only

Answers

Answer:

6/51/33/1013/549/201/15

Step-by-step explanation:

You cannot subtract JUST a denominator. The subtraction sign is lower down because of the odd printing just like the equal signs.

1. The first thing you have to do is change this from a mixed fraction into an improper fraction in order to subtract. This becomes:

12/5 -6/5 (This is done by multiplying the large number by the denominator and adding it to the exsisiting numerator)12-6=6 therefore  the answer is 6/5

2. This one requires you to multiply your denominator so that it is the same for both fractions. The least common denominator (LCD) for these fractions is 12

7/12-1/4(3) (Because 3x4 is 12 which is the LCD)7/12-3/12 = 4/12 (this can be simplified)1/3

3. This is fairly straight-forward the denominators already match so just subtract the numerators

6/10-3/10= 3/10

4. Because we have a full number we must make it into a fraction in order to subtract it and also turn the mixed fraction into an improper fraction

We'll start with the mixed because we've done that before multiplying 4 by 5. Add to that 20 the 2 from the original fraction to get 22/ 5For the full number use the denominator of the number to determine the fraction. Multiply the full number by the denominator (5) to get 35 and place a 5 underneath and call it a day.Therefore: 35/5-22/5=13/5

5. This problem requires multiple steps the first would be to make improper fractions then get a LCD and then of course subtract.

(6x8)+2=48+2=50 --> 50/8(5x3)+4=15+4=19 --> 19/5LCD 5:5,15,20,25,30,40 & LCD 8: 8,16,24,32,40 LCD=40(50/8)x5-(19/5)x8 = 250/40-152/40 = 98/40 This can be simplified49/20

6. For this we will use another LCD.

LCD 3: 3,6,9,12,15 LCD 5: 5,10,15 LCD=15(2/3)x5-(3/5)x3 = 10/15-9/15 = 1/15

Which line is perpendicular to the line x =
į
?
O A. X = -2y
B. y = - 2x
O
C. X = -2
O
D. y = 2

Answers

D is the correct answer

The recipe for a holiday punch calls for 7 cups of fruit drink and 3 cups of ginger ale.
Suppose you want to make as much punch as you can using all of the fruit drink you
have, which is 32 cups. How many cups of ginger ale would you need?
A)9.1
B)74.7
C)22.9
D)13.7

Answers

Answer:

D) 13.7

Step-by-step explanation:

What is the z-score with a confidence level of 95% when finding the margin of error for the mean of a normally distributed population from a sample? 0. 99 1. 65 1. 96 2. 58.

Answers

To specify the accuracy of the mean found for a statistical sample, the amount of error is specified by the margin of error, MOE

The z-score with a confidence level of 95% is 1.96

Reasons:

The margin of error, MOE, is required when finding a sample mean of a

statistic, which specifies the range within which the true mean is located;

The margin of error is given by the formula;

[tex]\displaystyle MOE = \mathbf{z^* \times \frac{\sigma }{\sqrt{n} }}[/tex]

Where:

σ = The standard deviation of the population

n = The sample size

[tex]z^*[/tex] = The z-value based on the applied confidence level.

Using the associated standard normal distribution table, by finding the

area between the z-score and the negative z-score, we have that 95% will

be given by the area between 1.96 and -1.96, which gives, 0.975 - 0.025 = 0.95 = 95%

Therefore;

The z-score at 95% = 1.96

Learn more about z-score here:

https://brainly.com/question/6096474

Evaluate (x +40) -- 23 when 2 = = 8.
8
O A. 5
B. 48
C. 6
D. 8
Pls help

Answers

Answer:

C

Step-by-step explanation:

x=8

(8+40)= 48

2³=2×2×2=8

48:8=6

for a brainlist +10 points please help

Answers

Answer:

C. Two smaller atoms come together to form a larger atom that is a different element.

Explanation:

Fusion is a reaction in which two nuclei combine to form a nucleus with the release of energy.

What is 100,000×1,000,000

Answers

Answer:

100,000 × 1,000,000 = 1.E11

Answer:

100000000000

Step-by-step explanation:

What is 6x to the power of 3 multiplied by 4x to the power of 8

Answers

Answer:

24x^11

Step-by-step explanation:

4x^8*6x^3 can be rewritten as 24x^(3+8) - multiply 4 and 6

Now we just have 24x^11.

There are 1580 adults and children on a ship. 60% of them are adults. When the ship arrives are harbour, some of the students alight and the percentage of adults remaining on the ship decreases by 20%. What is the ratio of the children to adults remaining on the ship?

Answers

Answer:

379 : 62

Step-by-step explanation:

Let’s gather the info from the problem.

1580 adults and children on a ship.

60% of them are adults.

percentage of adults and students remaining on the ship decreases by 20%

60% of 1580 is 948 so there are 948 adults onboard

leaving the remaining children which is 632

948 Adults

632 Children

Adults decreases by 20% so 758 adults

Children decreases by 20% so 124 children

the ratio is 758:124 simplified would be 379 : 62

Other Questions
Which principle of the software engineering code of ethics has gilbert violated?. The table shows the results of a survey of 100 people selected at random at an airport. Find the experimental probability that a person selected at random is going to City D it is about grammar in Englishrewriting these sentences without pronouns. you can change the sentence position too.1.) I like pickles that my grandmother makes.2.) this is the book about which I was talking yesterday 3.) most of the parents whom I have spoken to think that children watch too much TV Fill in the blankplease help._______________________ _____________________ software allows you to prepare documents such as _______________________ and _______________________. It allows you to _______________________, _______________________ and format these documents. You can also _______________________ the documents and retrieved it at a later date. A 480 page book is 2.4 cm thick(not counting the thickness of the covers.). Find the thickness of 380 pages of the book HELP ME!!!!!!! %) select all the correct answer. What will be the output of using the element in the given HTML code? 1011 2 A. 10112 B. 10112 C. 21011 D. 21011 Event Credit Payment Interest Principal Balance$500.00 $0.00 $0.00 $500.00Payment 1 $100.00 $7.40 $92.60 $407.40Payment 2 $100.00 $6.23 $93.77 $313.63Payment 3 $100.00 $4.79 $95.21 $218.42Payment 4 $100.00 $3.02 $96.98 $121.44Payment 5 $100.00 $1.86 $98.14 $23.30Payment 6 $23.64 $0.34 $23.30 $0.00Grand Total $500 $523.64 $23.64 $500.00 $0.00Study this payment schedule and answer the following questions. Part AHow long will it take to pay off this credit card?Part BHow much will the interest be? I need help with this please if you commit verbicide then you Does the embalming prosses require attention? Approximately _____ of adults in the United States are overweight, as defined by a body mass index (BMI) greater than 25. What is the value of x in the equation 4(2x 8) = 8(4x + 2)? How many grams are in 0.787 moles of kcn In the Missouri Compromise, describe the dividing line. Sean wants to spend (example) $100 on clothing and he wants to purchase 6 additional items for his wardrobe. Each pair of pants costs $20 and each shirt costs $15. a. What is the system of equations that represents this situation?b. Can he buy 2 pair of pants and 4 shirts?c. Show the solution graphically. Please answer quickly! Draw the Lewis structure for C2H4 (whose skeletal structure is H2CCH2). Draw the molecule by placing atoms on the grid and connecting them with bonds. Include all lone pairs of electrons. - CHONSPFBrClIXMore The fuel used in many disposable lighters is liquid butane, c4h10. Butane has a molecular weight of 58. 1 grams in one mole. How many carbon atoms are in 3. 50 g of butane. Present simple, Past simple or Present continuous. 1) My mother __________(cook) dinner every day.2) He___________(not,go) to school last year, he _________(be) five.3) What __________(you,do) ? I _____(wash) my face and hands.4) He ________(not,write) his home task at the moment. I ______ (think) he _______( play) on the computer.5) _______ (she,eat) ice cream yesterday.6) We ______(usually,drink) coffee in the morning. But now I ______( have) tea.7) Little kate ______( see) an elephant two days ago and _____( be) very surprised.8) Listen! My sister________( sing) her favourite song. She ______(like) to sing a lot. Last week she ______( take) part in a big concert and ______( feel) proud of it.9) What _______( he,draw) last Sunday.10) My friend _____( always,have) breakfast before school. He _____( not,like) not eat somewhere else. Find Algebraically, the coordinates of P. Under the same moon how much money did carlitos have.