Solve for x 3(x+7)-14=22

Answers

Answer 1

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Hi my lil bunny!

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Let's solve your equation step-by-step.

[tex]3(x+7)-14=22[/tex]

Step 1: Simplify both sides of the equation.

[tex]3 ( x + 7 ) - 14 = 22\\(3)^(x) + (3) (7) + - 14 = 22[/tex] (Distribute)

[tex]3x + 21 + -14 = 22[/tex]

[tex]( 3x) + (21 + -14 ) = 22[/tex] (Combine Like Terms)

[tex]3x + 7 = 22\\3x + 7 = 22[/tex]

Step 2: Subtract 7 from both sides.

[tex]3x + 7 - 7 = 22 - 7 \\3x = 15[/tex]

Step 3: Divide both sides by 3.

[tex]\frac{3x}{3} = \frac{15}{3} \\x = 5[/tex]

So your answer would be : [tex]\boxed {x = 5}[/tex]

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Have a great day/night!

❀*May*❀


Related Questions

A line of 8cm was measured as 8.04cm what is the percentage error​

Answers

Answer:

0.5% error

Step-by-step explanation:

We can use the percentage error formula, which is

[tex]\frac{|approx-exact|}{exact}\cdot100[/tex].

We know that the approximated value was 8.04, however it is actually 8cm, so we can substitute inside the equation.

[tex]\frac{|8.04 - 8|}{8}\cdot100 \\\\\frac{0.04}{8}\cdot100 \\\\0.005\cdot100 \\\\0.5[/tex]

Hope this helped!

If 3sinA+4cosA=5 then find the value of cosA

Answers

Answer:

Cos A =1.4

Step-by-step explanation:

3sinA=5-4cosA; square both sides: 9sin^2(A)=25-40cosA+16cos^2(A);

9-9cos^2(A)=25-40cosA+16cos^2(A); 25cos^2(A)-40cosA+16=0=(5cosA-4)^2.

cosA=4/5 so sinA=3/5 (√(1-16/25) and sinA+cosA=7/5=1.4.

Is this answer correct?

Answers

Answer:

yes

The statement 'C' explains the difference between a plane and a ray.

i.e. A plane does not have a formal definition, and a ray is described through undefined terms.

Step-by-step explanation:

A plane does not have a formal definition, and a ray is described through undefined terms. The statement is true because

A plane is basically an undefined term as it could be named using three non-straight points - also called noncollinear points. A plane is basically a flat two-dimensional object having no thickness.

In Geometry, we have a variety of undefined terms, including point, line and plane. All other terms in Mathematics (Geometry) could be defined from the mentioned three undefined terms.

Therefore, the statement 'C' explains the difference between a plane and a ray.

i.e. A plane does not have a formal definition, and a ray is described through undefined terms.

Keywords: plane, point, line, ray

Learn more about plane and ray form brainly.com/question/14471549

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Write each of the following in the simplest exponential form please help

Answers

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n} =a^{m+n}\\\\\\2^{3}*2^{5} = 2^{3+5} =2^{8}\\\\\\3^{2}*3^{4}=3^{2+4} = 3^{6}\\\\\\a^{2}*a^{5}=a^{2+5}=a^{7}[/tex]

A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint. If a can of paint contains 75 ounces of white paint, how many ounces of blue paint are in the can?

Answers

Answer:

i think 60 parts of blue paint are in the can.

Step-by-step explanation:

ratio should be equal in both cases

therefore,let blue part in second case be x(suppose)

5÷4=75÷x

by equating this we will be able to identify the value of x

and the value of x comes 60 which is the required answer....

hope this will help you..

i try my best to give correct answer..

if i am mistake, i am sorry for that...

line passing through points (-4,2) and (0,3)

Answers

Answer:

y-y1=m(x-x1)

or,y-2=1/4(x+4)

or,4y-8=x+4

or,x-4y+12=0 is the required equation.

Step-by-step explanation:

If it helps you, plz mark it as brainliest

Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amount of space in his garden is equal to 494949 square meters. Which measurement does 494949 square meters represent?

Answers

Answer:

49 square meters represent area of the square garden

Step-by-step explanation:

Each side length=7 meters

He multiplied 7 × 7 times to find the amount of space

=49 square meters

Jack is trying to measure the area of his square garden

Area of the square garden = length^2

=Length × length

Recall,

Length=7 meters

Area of the square garden= 7 meters × 7 meters

=49 square meters

20 POINTS AND BRAINLIEST!! Which of the following statements can be supported by the evidence shown in the graph?

A. The line best fit shows a positive correlation between month number and minutes

B. The line of best fits shows a negative correlation between the number of months and the number of minutes

C. The line of best fits shows no correlation between the month number and the number of minutes

Answers

Answer:

B. The line of best fits shows a negative correlation between the number of months and the number of minutes

Step-by-step explanation:

In a scatter plot, when the data points are clustered along the line of best fit, it shows a trend, and it implies there's a correlation between the x-variable and the y-varisble.

Also, when the line of best fit slopes upward, from your left to your far right, it shows a positive correlation between the variables on the x-axis and y-axis.

On the other hand, if the line of best fit slopes downwards, from your left down to your right, this shows a negative correlation.

Thus, considering the line of best fit in the question, the line of best fit shows a negative correlation between the number of months and the number of minutes. The line of best fit slopes downwards, from your left to your right.

This shows that, as month number increases, number of minutes decreases.

what is the solution to this equation -3x=52

Answers

Answer:

-17.3

Step-by-step explanation:

To solve for x, we can divide both sides by -3:

x = -52 / 3 which = -17.3

Answer:

[tex] \boxed{ \boxed{ \bold{ \sf{ - 17.33}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 3x = 52}[/tex]

Divide both sides of the equation by -3

⇒[tex] \sf{ \frac{ - 3x}{ - 3} = \frac{52}{ - 3} }[/tex]

Calculate

⇒[tex] \sf{x = - 17.33}[/tex]

Hope I helped!

Best regards!!

A triangle has one side that lies along the line y=1/4x and another that lies along the line y=-1/4x. Which of the following points could be a vertex of the triangle?

Answers

Answer:

We know that our triangle has one side along the line:

y = (1/4)*x

And other side along the line:

y = -(1/4)*x.

Now, we want to find the vertex.

And we know that the vertex is the point where the two sides conect, so the vertex must be a common point of both lines.

Then we have:

y = (1/4)*x = -(1/4)*x

x = -x

The only solution to that equation is x = 0.

now we evaluate our lines in x = 0 and get:

y = (1/4)*0 = 0

y = -(1/4)*0 = 0

Then the lines intersect in the point (0, 0)

Then the vertex must be in the point (0, 0)

Samuel has $20 in his savings account before he makes a deposit of $160 after two weeks he withdraws $160 how did Samuel savings account balance change

Answers

Samuel’s saving account changed from 20 to 180 to back to 20

The winning times (in seconds) in a speed-skating event for men can be represented by the formula T = 46.97 - 0.099x, where x represents the year, with x = 0 corresponding to 1920. (For example in 1992, x would be 1992 - 1920 = 72.) According to the formula, what was the winning time in 1997? Round to the nearest hundredth. * 1 point 40.34 sec 39.35 sec 3609.07 sec 41.33 sec

Answers

Answer:

39.35 sec

Step-by-step explanation:

Given that:

The winning time is represented by the function:

T = 46.97 - 0.099x

Where x = year ; x = 0 corresponding to 1920

According to the formula, what was the winning time in 1997?

first find the value of x;

x = 1997 - 1920 = 77 years

Nowing plugging the value of x in the function :

T = 46.97 - 0.099(77)

T = 46.97 - 7.623

T = 39.347 seconds

T = 39.35 s

-4(-w-10)=
i need help don’t know what the answer is

Answers

Answer:

[tex]\boxed{4w+40}[/tex]

Step-by-step explanation:

Use the distributive property to evaluate the equation.

-4(-w - 10)

4w + 40

-4 * -w = 4w because two negatives cancel to make a positive value.

-4 * -10 = 40 for the same reason.

II
Initial Knowledge
This morning, Leila's car had 19.79 gallons of fuel. Now, 2.8 gallons are left. How much fuel did Leila use?

Answers

Answer:

[tex]19.79 - 2.8 = 16.99gallons[/tex]

Plz help me this is probably easy but im just not seeing it plz help me ASAP

Answers

Answer: is attatched to the photo I sent

Step-by-step explanation:

I admit, this is tricky, just remember to think about it as where the shapes are the most similar. I'm not exactly sure how to explain it, but where it reflects like a mirror is the "copy"

The example I'm thinking of attached too, but these over lap so its diffucult

it’s either A or B but idk, i’ll give brainliest :)

Answers

Answer:

Actually it's A.

Step-by-step explanation:

A group of students is arranging squares into layers to create a project. The first layer has 4 squares. The second layer has 8 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer?

Answers

Answer:

answer is d

Step-by-step explanation:

Is 4.05 repeating equivalent to 405/99

Answers

Answer:

No

Step-by-step explanation:

405 repeating is

405/999

not 405/99

405/99=4.090909090909....

4.05 repeating is not equivalent to 405/99.

What is the arithmetic operator?

A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities.

The division is to divide two numbers by each other example 2/4.

The division is a very common phenomenon in mathematics so we need to divide two numbers or expressions.

Subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

The most common mathematical operation is multiplication, which involves adding two or more integers to get a new multiplied number.

Given,

405/99

If we divide 405 by 99 then it will go 4 times and leave the remainder as 9.

Further, we make a decimal and again divide it will go 090909091 so it means it is repeating 09 four times.

Hence, 4.05 repeating is not equivalent to 405/99.

To learn more about the arithmetic operator

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Compute the range and interquartile range for the data collected for boys and girls. Describe their differences in detail using specific terms of spread. (4 points)

Answers

Answer:

The measure of central tendency, mean and median are approximately equal for the boys indicating that the data of the boys is more evenly spread while standard deviation of the girls data is less than those of the boys indicating that the data for the girls is less widely spread.

Step-by-step explanation:

The given data are;

,             1       2       3      4     5      6       7    8      9      10

Girls,    50    32     15    56   81    50     18    81    22    55

Boys,   75     41     25    22    7     0      43    12    45    70

Sorting the data gives;

Girls,     15,   18,     22,   32,  50,   50,   55,  56,    81,  81

Boys,     0,     7,     12,     22, 25,    41,    43, 45,     70, 75

For the even numbered sample data size, the first quartile, Q₁ is found by sharing the data into two and finding the median of the left half which  gives;

10/2 = 5 on each half

The first quartile, Q₁, is the median of the left 5 data points which is the 3rd data point = 22 for girls and 12 for boys

The third quartile, Q₃, is found in similar method to be the 8th data point which is 56 for girls and 45 for boys

The median = 50 for girls and 33 for boys

Therefore, the interquartile ranges are;

IQR = 56 - 22 = 34 for girls, 45 - 12 = 33 for boys

We check for outliers.

Q₁ - 1.5×IQR = 22 - 1.5*34 = -29

Q₃ + 1.5×IQR = 56 + 1.5*34 = 107

We check the mean of both data samples as follows;

Average for the girls = 46

Average for the boys = 34

Standard deviation for girls = 23.99

Standard deviation for girls = 25.43

Therefore, the measure of central tendency is more accurate for the boys indicating that the data of the boys is more evenly spread while the data for the girls is less widely spread.

when symplified 9a-6b+a-b​

Answers

Answer:

10a -7b

Step-by-step explanation:

9a-6b+a-b​

Combine like terms

9a+a   -6b-b

10a -7b

Answer:

10a-7b

Step-by-step explanation:

[tex]9a - 6b + a - b \\ 9a + a - 6b - b \\ 10a - 7b[/tex]

In each of the following pairs of numbers, state which whole number is on the left of the other number on the number line. Also write them with appropriate sign (>,<) between them (a) 530, 503 (b) 370, 307 (c) 98765, 56789 (d) 10023001

Answers

D) in the question

1002, 3001

Answer:

a) 503 b) 307 c) 56789 D) 1002

Step-by-step explanation:

Numbering starts from the left hand side and are arranged in ascending order.

A) (530, 503)

503 < 530

503 is lesser than 530 and as such it is encountered first when numbers are written, hence 503 will appear on the left side of the number line when both are written.

B.) (370, 307)

370 > 307

307 comes before 370, therefore it will appear on the left side of 370 when illustrated on a number line.

C.) (98765, 56789)

98765 > 56789

56789 will appear on the leftside of 98765 when both number are illustrated on a number line.

D.) 1002 < 3001

1002 will appear on the leftside of 98765 when both number are illustrated on a number line.

Pls answer these McQ to be the brainliest

Answers

Step-by-step explanation:

1. c

2. a

3. c

4. c

5. d

6. b

7. a

8. b

9. c

Which of the c-values satisfy the following inequality? 2>c/3

Answers

Answer:

[tex]\Large \boxed{{c<6}}[/tex]

Step-by-step explanation:

2>c/3

Multiply both sides of the inequality by 3.

2(3)>c/3(3)

6>c

Switch sides.

c<6

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Let's solve your inequality step-by-step.

[tex]2 > \frac{c}{3}[/tex]

Step 1: Simplify both sides of the inequality.

[tex]2 > \frac{1}{3}c[/tex]

Step 2: Flip the equation.

[tex]\frac{1}{3}c < 2[/tex]

Step 3: Multiply both sides by 3.

[tex]3 * (\frac{1}{3} c) < ( 3) * (2)\\c < 6[/tex]

Answer : [tex]\boxed {c < 6}[/tex]

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Have a great day/night!

❀*May*❀

SOMEONE PLZ HELP ASAP !!!!!!

Answers

Answer:

a = 53.13

b = 42.76

c= 0

Step-by-step explanation:

as the question said i was supposed to use a calculator which i did

the school bought a sandbox that measures 50 meters long 25 meters wide and 5 meters tall how many cubic meters if sand would you need to buy if each cubic meter of sand cost $1.50 how much money would it cost to fill the sandbox

Answers

Answer:

Cost of sandbox = $9,375

Step-by-step explanation:

Given:

Height of sandbox = 5 m

Length of sandbox = 50 m

Width of sandbox = 25 m

Cost of 1 cubic meter = $1.50

Find:

Cost of sandbox

Computation:

Volume of sandbox = (50)(25)(5)

Volume of sandbox = 6,250 m³

Cost of sandbox = 6,250 × $1.50

Cost of sandbox = $9,375

a red sea urchin grown its entire life, which can last 200 years. An urchin at age 30 has a diameter of 11.9 cm, while an urchin at age 110 has a diameter of 15.5 cm What is the average rate of change over this given period

Answers

A = (15.5 - 11.9) / (110 - 30) = 3.6 / 80 = 0.045

Average rate of change = 0.045 cm

The average rate of change of sea urchin's diameter with respect to its age is 0.0045 cm/yr.

What is Derivative in mathematics?

Derivative in mathematics represent the rate of change of a function with respect to a variable.

Given is a red sea urchin such that at age 30, the urchin has a diameter of 11.9 cm whereas urchin at age 110 has a diameter of 15.5 cm.

From the question we can write -

Initial age = A[1] = 30

Initial diameter = D[1] = 11.9 cm

Final Age = A[2] = 110

Final diameter = D[2] = 15.5 cm

Average rate [r] = D[2] - D[1] / A[2] - A[1]

r =  D[2] - D[1] / A[2] - A[1]

r = 15.5 - 11.9/110 - 30

r = 3.6/80

r = 0.045

Therefore, the average rate of change of sea urchin's diameter with respect to its age is 0.0045 cm/yr.

To solve more questions on rate measurements, visit the link below-

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Complete the sequence
8,27,64,125,.........
Just next letter

Answers

Answer:

216.

Step-by-step explanation:

These numbers are perfect cubes starting with 2^3.

2^3, 3^3,  4^3,  5^3 so the next one is 6^3, which is 216.

interpret the parts of the expression 9x + 4y – 5. Rewrite the expression as a sum: _______________

Answers

Answer:

9x + 4y +(-5)

Step-by-step explanation:

Given

9x + 4y - 5

Required

Interpret

Write as a sum

The parts of an expression can be interpreted in the following ways; Terms, Variables, Constant, Coefficient, etc.

The terms are the expression being added together and they are 9x, 4y and -5

The variables are the represented with alphabets they change in values; the two variables in the given question are x and y

Constant are numbers standing alone; This is 5

Coefficient are numbers in front of variables; In this case, the coefficient are 9 and 4

Writing 9x + 4y - 5 as a sum

The -5 can be written as +(-5); So, we have

9x + 4y +(-5)

Rejoice bought 600 oranges at 5 for GH¢3.00 to be sold at the market. On her arrival 5% of the oranges got rotten and she sold the rest at one for GH¢1.00...
I) How any oranges did she finally sell?
ii) Find her loss or profit percent.​

Answers

Answer:

She finally sold 570 oranges

Profit %= 58.33%

Step-by-step explanation:

Quantity bought=600

Price=5 for GH¢3.00

Total cost price=600/5 * GH¢3.00

=120*GH¢3.00

=GH¢360.00

5% of 600 oranges got rotten

=5/100*600

=30 Oranges were rotten

I) How any oranges did she finally sell?

She finally sold

Sold oranges= Total oranges - Rotten oranges

=600-30

=570 oranges

Selling price=GH¢1.00 * 570 oranges

=GH¢570.00

ii) Find her loss or profit percent

Profit or loss percent= Selling price - cost price / cost price * 100

% profit or loss=S.P - C.P / C.P * 100

=GH¢570.00 - GH¢360.00 / GH¢360.00 * 100

=GH¢210.00/GH¢360.00 *100

=0.5833 * 100

=58.33% profit

Each day that a library book is kept past its due date a 30 dollar fee is charged at midnight which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee

Answers

THIS IS THE COMPLETE QUESTION BELOW;

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?

Answers:

(–3, –0.90)

(–2.5, –0.75)

(4.5, 1.35)

(8, 2.40)

Answer

(8, 2.40)

Step by step Explanation

✓We can denote the number of days library book is late = X,

✓We can denote the the total fee = Y.

We were told $0.30 fee is charged at midnight.

Then for lateness for just 1day,the charged fees= 1day ×

$0.30

For X number of days the charged fees= Xday ×$0.30

Therefore, total charge for lateness for X number of days late = Y.

Then can be expressed as

Y= 0.30 * X...............eqn(1)

We can now test the option one after the other

FIRST OPTION (-3, -0.9)

Here we should know the number of days cannot be negative so there is no need of testing in the equation (1)

SECOND OPTION (-2.5, -0.75)

Here we should know the number of days cannot be negative so there is no need of testing in the equation (1)

THIRD OPTION(4.5, 1.35)

here the number of days will definitely be a whole number not 4.5, it's either

charge for 4 days or 5 days.

FORTH OPTION (8, 2.40)

this should be correct because the number of days is whole number and not negative, then if we test it from our equation it satisfy the equation too

Y= 0.30 * X...............eqn(1)

Y= 0.30 * X

2.40= 0.30 * 8

2.40 = 2.40.

Therefore, (8, 2.40) is the answer

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The graph below represents which of the following functions? check if these answers are correct and if it is wrong correct it please Plz help ASAP!! WILL MARK BRAINLIST for the correct answer according to the nist the process of identifying risk, assessing risk, and taking steps to reduce risk to an 435Q2.2.51. The scale factor of the dilation that takes P to Qis2. The scale factor of the dilation that takes to PisBlank 1:Blank 2:Helppppp!! Remove all perfect squares from inside the square root 72 is the world safe place for animals and plants?Guys pls answer it A factory produces plate glass with a mean thickness of 4 mm and a standard deviation of 1.1 mm. A simple random sample of 100 sheets of glass is to be measured, and the mean thickness of the 100 sheets is to be computed. What is the probability that the average thickness of the 100 sheets is less than 3.74 mm When titrating a strong acid with a strong base, after the equivalence point is reached, the pH will be determined exclusively by: Select the correct answer below: A) hydronium concentration B) hydroxide concentration C) conjugate base concentration D) conjugate acid concentration The vast majority of socialists favored:A. Violent revolution of the governmentB. Slow progress through regular political meansC. Separation from the governmentD. Making changes through non-governmental methods Please answer this correctly without making mistakes Read the excerpt from "Children of the Drug Wars." By sending these children away, "you are handing them a death sentence," says Jos Arnulfo Ochoa Ochoa, an expert in Honduras with World Vision International, a Christian humanitarian aid group. This abrogates international conventions we have signed and undermines our credibility as a humane country. It would be a disgrace if this wealthy nation turned its back on the 52,000 children who have arrived since October, many of them legitimate refugees. The underlined words and phrases have strong negative connotations. How do they support the author's purpose? On January 1, 2018, Martinez Inc. granted stock options to officers and key employees for the purchase of 22,000 shares of the companys $10 par common stock at $23 per share. The options were exercisable within a 5-year period beginning January 1, 2020, by grantees still in the employ of the company, and expiring December 31, 2024. The service period for this award is 2 years. Assume that the fair value option-pricing model determines total compensation expense to be $340,800.On April 1, 2019, 2,200 options were terminated when the employees resigned from the company. The market price of the common stock was $33 per share on this date.On March 31, 2020, 13,200 options were exercised when the market price of the common stock was $41 per share.Prepare journal entries to record issuance of the stock options, termination of the stock options, exercise of the stock options, and charges to compensation expense, for the years ended December 31, 2018, 2019, and 2020. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.)DateAccount Titles and ExplanationDebitCreditJan. 1, 2018Dec. 31, 2018April 1, 2019Dec. 31, 2019Mar. 31, 2020Jan. 1, 2018Dec. 31, 2018April 1, 2019Dec. 31, 2019Mar. 31, 2020Jan. 1, 2018Dec. 31, 2018April 1, 2019Dec. 31, 2019Mar. 31, 2020Jan. 1, 2018Dec. 31, 2018April 1, 2019Dec. 31, 2019Mar. 31, 2020Mar. 31, 2020 In your opinion, what are the forms of institutional advertising that are suitable for banks in Palestine with examples. Why?? Consider a wire of a circular cross-section with a radius of R = 3.17 mm. The magnitude of the current density is modeled as J = cr2 = 9.00 106 A/m4 r2. What is the current (in A) through the inner section of the wire from the center to r = 0.5R? Which statement best explains how Srimati develops the themethat beauty without guidance and morality can bring ruin? Editing work occurs first. Check for wordiness and other sentence mistakes before you worry about content. Select one: True False Describe popes rebellion (quick summary would be extremely helpful!) Can someone please help me with this question? The y is throwing me off. Which transformations to the graph of j(x) would result in the graph of j(4x)-27