:: 3x + 3 = 2(x + 7)

Answers

Answer 1

Answer: x= 11

Step-by-step explanation:

Answer 2

Answer:

x=11

Step-by-step explanation:

im assuming u r trying to find x

you need to solve the bracket first (2×x =2x , 7×2= 14)

After that move numbers with x to ur left, to make life easier

3x-2x= x

14-3 = 11

x=11

:: 3x + 3 = 2(x + 7)

Related Questions

Three sisters each bought 3 pairs of shoes and a dress the dress cost 45.50 if the total cost of the bill was 352.50 how much did a pair of shoes cost

Answers

A pair of shoes cost 102.23

Arithmetic: Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. The basic operations of math are addition, subtraction, multiplication and division. Also called higher arithmetic, theoretical arithmetic.

Cost of 3 pairs of shoes and a dress = 352.50

Cost of dress = 45.50

Cost of 3 pairs of shoes = Cost of 3 pairs of shoes and a dress - the cost of dress = 352.20 - 45.50

= 306.7

So, the cost of each pair of shoes will be = Cost of 3 pairs of shoes/Number of pairs bought

= 306.7/3

= 102.23

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f(x) = 2x - 3
g(x) = 3x - 1
Find (f g)(x).
6x² + 3
6x³-11x² + 3x
6x² - 11x +3
6x² - 7x +3

Answers

Answer:

6x^2 - 11x + 3

Step-by-step explanation:

(fg)(x) is just multiplying f(x) and g(x)

This gives: (2x-3)(3x-1) = 6x^2 - 2x -9x - (3*(-1)) = 6x^2 -11x + 3

A rancher is filling a trough for her horses. The trough already contains 25 gallons of water, and the rancher is adding 11 gallons per minute. How long will it take for the trough to have 80 gallons of water?

Answers

The equation which is useful to find the amount in gallons of water to the number of minutes since filling started is 25 + 11x therefore, it takes 5 minutes to have 80 gallons of water.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

The amount of water initially in the trough = 25 gallons.

The rate of adding water = 11 gallons per minute

Therefore, the total amount (A) of water in x minutes will be,

A = 25 + 11x

The number of minutes to have 80 gallons of water is,

80 = 25 + 11x

11x = 55

x = 5 minutes.

Hence "The equation which is useful to find the amount in gallons of water to the number of minutes since filling started is 25 + 11x therefore, it takes 5 minutes to have 80 gallons of water".

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The points (5, r) and (10, -1) lie on a line with slope 5. Find the missing coordinate r

Answers

Answer: r=-26

Step-by-step explanation:

[tex]\displaystyle\\(5,r)\ \ \ \ (10,1)\ \ \ \ slope \ m=5\\\\\boxed {m=\frac{y_2-y_1}{x_2-x_1} }\\\\x_1=5\ \ \ \ \ x_2=10\ \ \ \ \ y_1=r\ \ \ \ y_2=-1\ \ \ \ \ m=5\\\\Hence,\\\\5=\frac{-1-r}{10-5} \\\\5=\frac{-1-r}{5}[/tex]

Multiply both parts of the equation by 5:

[tex]5(5)=-1-r\\\\25=-1-r\\\\25+r=-1-r+r\\\\25+r=-1\\\\25+r-25=-1-25\\\\r=-26[/tex]

A figure is rotated 270 degrees counterclockwise about the origin. Then the image is rotated 90 degrees counterclockwise about the origin. Complete the coordinate notation that represents the series of rotations. What can you conclude about the position of the figure after the series of rotations?
If you don't mind, I need the answer ASAP

Answers

The series of rotations are : (x, y) -----> (y, -x) → (y, -x) ----> (x, y).

The total rotation is 360 degrees. So the figure is the original figure itself.

First a figure is rotated 270 degrees counterclockwise about the origin.

A 270 degree counterclockwise rotation is given by the co-ordinate transformation, (x, y) -----> (y, -x)

Then the figure is again rotated 90 degrees counterclockwise about the origin. A 90 degree counterclockwise rotation is given by, (x, y) -----> (-y, x)

So combining with the above transformation, the 90 degree counterclockwise rotation gives, (y, -x) ----> (x, y).

Thus the total rotation transformation is in turn, (x, y) ----> (x, y).

Thus the total rotation in counterclockwise direction about the origin is 360 degrees. So the final figure is the original figure itself.

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Solve for x in the triangle. Round your answer to the nearest tenth.
20
X
52°
X =

Answers

Solve for x in the triangle. Round your answer to the nearest tenth.

Answer: x = 25.381

Is a number closer to 0 greater or less than a number more away from 0? (negatives and positives)

Answers

Answer:

A number closer to 0 is generally less than a number more away from 0. When it comes to negative numbers the closer the number to 0, the greater it is.

Step-by-step explanation:

If you need further help please let me know.

Please mark brainliest!

-3x+7=-x-1
Simplify and solve for the variable

Answers

-3x+7=-x-1
+3x +3x
7=2x-1
+1 +1
8=2x
8/2
X=4

A perfect score on a test with 25 questions is 100. Each question is worth 4 points. Fred got a score of 68 on the test to write a division sentence using negative numbers where the quotient represents the number of questions Fred answered incorrectly

Answers

The total number of questions that Fred answered incorrectly is 8.

How to express the information?

From the information given, a perfect score on a test with 25 questions is 100 and each question is worth 4 points while Fred got a score of 68 on the test.

Therefore, let the number of questions that are got be x.

Based on the information given, this will be:

4 × x = 68

4x = 68

Divide

x = 68 / 4 = 17

The number of questions that he missed will be:

= Total questions - Correct answers.

= 25 - 17.

= 8

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Write the fraction 622/1000 in its simplest form

Answers

Answer:

311/55

Step-by-step explanation:

i devided each by 2 and got this then i looked it up and it said this so id k

hope this helped

Elsie is a project manager
in 2016 she earned £2100
in 2017 she was awarded a 3% increase on her monthly salary
given that in 2017 worked 42 hours a week for 45 weeks.
week out her average pay-per-hour of the year

Answers

The average pay-per-hour of the year for Elise will be 13.73 pounds.

How to calculate the average pay?

From the information, in 2016 she earned £2100 and in 2017 she was awarded a 3% increase on her monthly salary.

Therefore, the new salary will be:

= 2100 + 3%(2100)

= 2100 + 63

= 2163

Now she worked for 42 hours per week for 45 weeks. This will be:

= 42 × 45

= 1890 hours

Therefore, the total earnings for the year will be:

= 2163 × 12 months

= 25956

The average pay-per-hour of the year will be:

= Total amount / Number of hours

= £25956 / 1890

= £13.73

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Jenn is baking 80 pumpkin spice cookies for a fundraiser. She gets ready to start cutting out cookies at 3:30pm, first rolling out the dough and getting her cookiecutters ready. At 3:38pm she has 12 cookies cut out. By 3:40pm, she has 20 cookies cut out. If she cuts out cookies at a constant rate, when will she be finished cutting out the 80 cookies?

Answers

Answer: 4:30

Step-by-step explanation:

Answer:

oh palak cl NC do off is sold em Ms do off do off dlc so off do off sum is sold arrowroot

What number is 40% of 120?​

Answers

Answer: 48

Step-by-step explanation:
Convert 40% to a decimal = 0.4
Multiply 0.4 x 120 = 48

Answer:

48

Step-by-step explanation:

40\100×120

=48

( fourth divided by one hundred multiplied by one hundred and twenty is equal to 48)

Can I have some help with the question in the attachment. I've done (a) but I think I'm doing (b) wrong​

Answers

Answer:

8.33

Step-by-step explanation:

He has to be at work by 10:30, but it takes 20 mins to walk

So, 10:30-20 minutes=10:10

We then look at the arrival time closest to this, which would mean he would arrive at 10.06.

trace this back the bus would gett him at 8:38, but its a 5min walk.

8:38-5 minutes+8.33

hope this helps :)

Miranda did a survey of what time people
get to their office on Monday morning.
The table shows her results for
150 people.
Time
before 7 am
7am to 7:59 am
8am to 8:59 am
9am to 9:59 am
No of people
15
39
75
21
a) What percentage of the people surveyed arrive at their office before 7 am?
Optional working
+
Answer:
b) What percentage of the people surveyed arrive at their office after 7:59 am?
Optional working
Answer:
%

Answers

The percentage of the people surveyed that arrive at their office after 7am is 6.7%.

The percentage of the people surveyed that arrive at their office after 7:59 am is 64%

How to calculate the percentage?

From the information, Miranda did a survey of what time people get to their office on Monday morning and the table shows her results.

The number of people that arrived before 7.59am is 15.

The total number of people surveyed will be:

= 15 + 39 + 75 + 21

= 150

The percentage of the people surveyed arrive at their office before 7 am will be:

= 10 / 150

= 6.7%

The percentage of the people surveyed that arrive at their office after 7:59 am will be:

= (75 + 21) / 150.

= 96/150

= 0.64

= 64%

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Answer:

the number of people is 15 so you would do 15/150=10percent

b) 66 percent

Step-by-step explanation:

Directions: Find the slope between
1. (-8, 18) and (-14, -3)

Answers

Answer:  The slope of (-8, 18) and (-14, -3) would be 3.5.

Step-by-step explanation:  By using a simple calculator, specifically the TI-84 Plus CE, you can put the points you mentioned in stat and it’ll give you an equation based on those points.  The equation I got was y = 3.5x + 46.  The number attached to the X is your slope.

-7/8u = -21 solve for u and simplify your answer as much as possible

Answers

Answer:

u= 18.37

Step-by-step explanation:

-7/8 u= -21

We have to isolate the variable. Since the -7 is being divided, you would take it to the other side and multiply.

8u= -21 * -7

8u= 147

u= 147/8

u= 18.37

Simple Interest Round answers to the nearest cent. 1. John is going to invest $100 in an account for 3 years. If the account earns 6% simple interest, how much interest can he expect to earn?

Answers

Given Data:

The initial investment is: P=$100

The total period of investment is: t=3

The annual interest is: 6%.

For the simple interest, the expression to calculate the interest in t years is,

[tex]I=(P\times\frac{r}{100})\times t[/tex]

Here r is in percentage.

Substitute known values in the above expression.

[tex]\begin{gathered} I=(100\times\frac{6}{100})\times3 \\ =(6)\times3 \\ =18 \end{gathered}[/tex]

Thus, the total intrest for 3 years will be $18.


How is 9.746 x 10 ^13 written in standard form?
0000000000009746
97,460,000,000,000
9.746000000000000
9,746,000,000,000,000

Answers

B. 97,460,000,000,000

hope this helps!! <33

Brian deposited $2,419 into a savings account for which interest is compoundedquarterly at a rate of 2.54%. How much interest will he earn after 7 years? Roundanswer to the hundredths place. If answer does not have a hundredths place theninclude zeros so it does. Do not include units in the answer.

Answers

Given

Principal = $2419

rate = 2.54%

time = 7 years

compounds quarterly

[tex]\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ A=2419(1+\frac{0.0254}{4})^{4(7)} \\ A=2419(1.00635)^{28} \\ A=2888.08 \end{gathered}[/tex]

After 7 years, the amount deposit is now $2888.08, subtract by the principal amount to get the interest.

[tex]\begin{gathered} I=A-P \\ I=2888.08-2419 \\ I=469.08 \end{gathered}[/tex]

Therefore, the interest that he will earn after 7 years us $469.08.

An item costs y dollars and then a 20% discount is applied. Create an expression that could represent the price of the item after the discount. Explain your reasonin

Answers

The percentage 20% of the costs y is given as 0.20y thus the expression which represents the price of the item after the discount is P = y - 0.20y.

What is the percentage?

The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.

It is known that x% of something y is given as,

x% of y = (x/100)y

Given that discount of 20% of y

20% of y = (20/100)y

20% of y = 0.20y

Now the final price = initial price - discount

Final price (P) = y - 0.20y

Hence"The percentage 20% of the costs y is given as 0.20y thus the expression which represents the price of the item after the discount is P = y - 0.20y".

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Write the equation in factored form then stayed the X intercepts

Answers

Step 1

Given;

[tex]y=x^2+x-20[/tex]

Required; To write the equation in factored form

Step 2

Find the two factors that when added gives you x and when multiplied gives -20x²

[tex]\begin{gathered} \text{The factors are 5x and -4x} \\ \end{gathered}[/tex]

[tex]\begin{gathered} R\text{eplace x with 5x-4x} \\ x^2+5x-4x-20 \\ \text{Factorize the expression} \\ x(x+5)-4(x+5)_{} \\ y=(x-4)(x+5) \end{gathered}[/tex]

Step 3

State the x-intercept

[tex]\begin{gathered} (x-4)(x+5)=0 \\ x-4=0 \\ or \\ x+5=0 \\ x=4 \\ or \\ x=-5 \end{gathered}[/tex]

Hence, the x-intercepts are;

x=4

x=-5

I need help................

Answers

Answer:

D

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (1, 7) ← 2 points on the line

m = [tex]\frac{7-1}{1-(-2)}[/tex] = [tex]\frac{6}{1+2}[/tex] = [tex]\frac{6}{3}[/tex] = 2

use either of the 2 points on the line

using (- 2, 1 ) , then

y - 1 = 2(x - (- 2) ) , that is

y - 1 = 2(x + 2) ← equation in point- slope form

WILL GIVE BRAINLIEST PLS HELP SOLVE

Answers

Answer:

The equation is:

y = -3x + 3

The measure of an angle is 78.3°. What is the measure of its complementary angle?

Answers

The complementary angle of the angle is 11.7 degrees

What are angles?

Angles are formed when two or more lines intersect. This in other words means that angles is the measure of space between the intersection of rays or lines

How to determine the complementary angle?

The measure of the angle is given as

Angle = 78.3 degrees

Complementary angles add up to 90 degrees

So, we have the other angle to be

Other angle = 90 - 78.3

Evaluate the difference

Other angle = 11.7

Hence, the other angle is 11.7

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Find the probability, in simplest form of picking the letter R in the wore LIBRARY

Answers

Step 1: Write out the formula for Probability

[tex]\text{Probability}=\frac{Number\text{ of events}}{\text{Total number of events}}[/tex]

Step 2: Writing out the data

The number of times R occur in the word LIBRARY is 2.

The total number of alphabets in the word LIBRARY is 7.

Therefore, number of events= 2

Total number of events= 7

[tex]\text{Probability of picking R=}\frac{2}{7}[/tex]

12
Find the horizontal asymptote of f of x equals quantity negative 2 x squared plus 3x plus 5 end quantity over quantity x squared plus 1. (5 points)
y = −2
y = −1
y = 1
y = 2

Answers

The horizontal asymptote is y = -2

The horizontal asymptote is an equation of the form y = k, for some constant k, is a straight line parallel to x-axis.

Horizontal asymptotes are found for rational functions of polynomials when x becomes extremely large, or, as x → ∞.

The function given is, f(x) = (-2x²+3x+5)/(x²+1)

Horizontal asymptote is given by,

y = [tex]\lim_{x \to \infty} \frac{-2x^2+3x+5}{x^2+1}[/tex]

   =  [tex]\lim_{x \to \infty} \frac{x^2(-2+\frac{3}{x} +\frac{5}{x^2}) }{x^2(1+\frac{1}{x^2}) }[/tex]

   =  [tex]\lim_{x \to \infty} \frac{(-2+\frac{3}{x} +\frac{5}{x^2}) }{(1+\frac{1}{x^2}) }[/tex]

   = -2

So the horizontal asymptote of f(x) is, y = -2

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Answer:

A) y = -2

Step-by-step explanation:

The rules to find the horizontal asymptote (HA) is shown below

Y = A if the numerator and denominator have same highest exponent for example

A^3

B^3

Y = 0 if the numerator have lower exponent and denominator have higher exponent for example

A^1

B^2

None HA if the numerator have higher exponent and denominator have lower exponent for example

A^2

B^1

And the equation shown in the question have same exponent so the answer is -2

PS: please give me brainiest

need someone to answer as soon as possible!
Please please with proof too

Answers

The solutions to the system of equations are x=5, z=1,y=-3

What is system of equations?

A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where each of these equations crosses, are the solutions of systems of equations.A system of equations in algebra consists of two maybe more equations and looks for common answers to the equations.

Given equations:

x+y+z=3

3x+(y/3)-2z=12

-5x-6y+3z=-4

Solving by using the substitution method:

[tex]\begin{bmatrix}x+y+z=3\\ 3x+\left(\frac{y}{3}\right)-2z=12\\ -5x-6y+3z=-4\end{bmatrix}[/tex]

Substitute x=3-y-z

[tex]\begin{bmatrix}3\left(3-y-z\right)+\frac{y}{3}-2z=12\\ -5\left(3-y-z\right)-6y+3z=-4\end{bmatrix}[/tex]

Substitute z={8y+9}/{15}

[tex]\begin{bmatrix}-y+8\left(-\frac{8y+9}{15}\right)-15=-4\end{bmatrix}[/tex]

simplify

[tex]\begin{bmatrix}\frac{-79y-72}{15}-15=-4\end{bmatrix}[/tex]

Substitute y=-3

[tex]z=-\frac{8\left(-3\right)+9}{15}[/tex]

z=1

For x=3-y-z

Substitute z=1,y=-3

x=3-(-3)-1

x=5

The solutions to the system of equations are:

x=5, z=1,y=-3

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HELP ASAP! brainliest for the best answer.

Answers

Answer:

[tex]\textsf{C.} \quad r=\dfrac{27-P}{3P}[/tex]

Step-by-step explanation:

Given formula:

[tex]A=P(1+rt)[/tex]

Given values:

A = 27t = 3

Substitute the given values into the given formula and solve for r:

[tex]\begin{aligned}A&=P(1+rt)\\\\\implies 27&=P(1+3r)\\\\\dfrac{27}{P}&=\dfrac{P(1+3r)}{P}\\\\\dfrac{27}{P}&=1+3r\\\\\dfrac{27}{P}-1&=1+3r-1\\\\\dfrac{27}{P}-1&=3r\\\\3r&=\dfrac{27}{P}-\dfrac{P}{P}\\\\3r&=\dfrac{27-P}{P}\\\\\dfrac{3r}{3}&=\dfrac{\dfrac{27-P}{P}}{3}\\\\r&=\dfrac{27-P}{3P}\end{aligned}[/tex]

Solution

[tex]\boxed{r=\dfrac{27-P}{3P}}[/tex]

difference between a number and its positive square root is 12?find the number?

Answers

The number is 16
Since 16-(radical 16)=16-4
=12
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