which of the following shows the correct solution steps and solution to 3x+2=17?

Answers

Answer 1

Answer:

[tex]\huge\boxed{\sf x = 5}[/tex]

Step-by-step explanation:

[tex]\sf 3x + 2= 17[/tex]

Subtracting 2 to both sides

[tex]\sf 3x = 17-2\\3x = 15[/tex]

Dividing both sides by 3

[tex]\sf x = 15/3\\x = 5[/tex]

Answer 2

The correct solution to the equation 3x + 2 = 17 is x = 5.

Let's find the correct solution to the equation 3x + 2 = 17:

Step 1: Subtract 2 from both sides to isolate the term with 'x':

3x + 2 - 2 = 17 - 2

3x = 15

Step 2: Divide both sides by 3 to solve for 'x':

3x / 3 = 15 / 3

x = 5

So, the correct solution to the equation 3x + 2 = 17 is x = 5.

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Related Questions

Dave has $15 to spend on an $8 book and two birthday cards(c) for his friends. how much can he spend on each card if he buys the same card for each friend?

Please do not use the equal sign, we're using the greater than >, or less than sign< !​

Answers

Answer:

each card cost = $3.5

Step-by-step explanation:

to spent $15 = $8 + 2cards

$15 = $8 + 2C

$15 - $8 = 2C

$7 = 2C

C = $7 / 2

C = $3.5

therefore each card cost = $3.5

Answer:

$3.50 per card

Step-by-step explanation:

15 = 8 + 2x

x = 7 / 2

x = 3.50

Point O is on line segment NP Given OP = 4x - 5 , NP = 3x + 4 , and NO = 2x - 3 determine the numerical length of OP .

Answers

Answer: 11 units.

Step-by-step explanation:

Given: Point O is on line segment NP.

i.e. NP is the combination of NO and OP.

i.e. NP = NO+OP                    (1)

Since , OP = 4x - 5 , NP = 3x + 4 , and NO = 2x - 3

Substitute these values in (1), we get

[tex]3x + 4 = 2x - 3 + 4x - 5[/tex]

[tex]\Rightarrow\ 3x+4=2x+4x-3-5\\\\\Rightarrow\ 3x+4=6x-8\\\\\Rightarrow\ 6x-3x=8+4\\\\\Rightarrow\ 3x=12\\\\\Rightarrow\ x=\dfrac{3}{12}=4[/tex]

i.e. x= 4

Now, OP = 4(4)-5= 16-5= 11 units

Hence, the numerical length of OP is 11 units.

What is the area or rectangle xbcy

Answers

2x=mc swakxmwnaixjeka

A company rents out 19 food booths and 30 game booths at the county fair. The fee for a food booth is $100 plus $9 per day. The fee for a game booth is $50 plus $8 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.

Answers

Answer:

2500 + 215d

Step-by-step explanation:

algebraic expression for 5 minus the product of y and 3

Answers

Answer:

5 - 3y

Step-by-step explanation:

Step 1: Convert product of y and 3 into numbers

Product = multiply

y = y

3 = 3

3y

Step 2: Convert 5 minus into numbers

minus = subtract

5 - 3y

Answer:

5-3y

Step-by-step explanation:

A student solved the equation 7 = 3(t - 1) - 2(t - 3) as shown below. Assume there is a value for t that satisfies the equation. Provide a justification for each step of the solution process. LaTeX: 7\:=\:3\left(t-1\right)-2\left(t-3\right)7 = 3 ( t − 1 ) − 2 ( t − 3 ) LaTeX: 7\:=\:3t\:-3-2t\:+67 = 3 t − 3 − 2 t + 6.

Answers

Answer: 7

Step-by-step explanation: You first distribute 3, and -2. This gets you 7 = 3t -3 -2t +3. Then you add like terms which gets you, 7 = t.

A, b, and c are collinear, and B is between a and c. The ratio of AB to AC is 1:2. If A is at (7,-1) and B is at (2,1) what are the coordinates of point C

Answers

Answer:

C(-3,3)

Step-by-step explanation:

Given

A = (7,-1)

B = (2,1)

AB:AC = 1:2

Required

Determine the coordinates of C

Since, B is between A and C; we need to determine ratio BC as follows;

[tex]AB:AC = 1:2[/tex]

Convert to division

[tex]\frac{AB}{AC} = \frac{1}{2}[/tex]

AC = AB + BC;

[tex]\frac{AB}{AB + BC} = \frac{1}{2}[/tex]

Cross Multiply

[tex]2 * AB = 1 * (AB + BC)[/tex]

[tex]2 AB = AB + BC[/tex]

[tex]2AB - AB = BC[/tex]

[tex]AB = BC[/tex]

Divide both sides by BC

[tex]\frac{AB}{BC} = 1[/tex]

Rewrite as

[tex]\frac{AB}{BC} = \frac{1}{1}[/tex]

Write as ratio

[tex]AB:BC = 1:1[/tex]

Next is to determine the coordinates of C as follows;

Because B is between both points. we have:

[tex]B(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where

[tex]m:n = AB:BC = 1:1[/tex]

[tex]B(x,y) = B(2,1)[/tex]

[tex]A(x_1,y_1) = A(7,-1)[/tex]

So; we're solving for x2 and y2

[tex]B(2,1) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where

Solving for x2;

[tex]x = \frac{mx_2 + nx_1}{m+n}[/tex]

[tex]2 = \frac{1 * x_2 + 1 * 7}{1+1}[/tex]

[tex]2 = \frac{x_2 + 7}{2}[/tex]

Cross Multiply

[tex]2 * 2 = x_2 + 7[/tex]

[tex]4 = x_2 + 7[/tex]

[tex]x_2 = 4 - 7[/tex]

[tex]x_2 = -3[/tex]

Solving for y2;

[tex]y = \frac{my_2 + ny_1}{m+n}[/tex]

[tex]1 = \frac{1 * y_2 + 1 * -1}{1+1}[/tex]

[tex]1 = \frac{y_2- 1}{2}[/tex]

Cross Multiply

[tex]2 * 1 = y_2 - 1[/tex]

[tex]2 = y_2 - 1[/tex]

[tex]y_2 = 2 + 1[/tex]

[tex]y_2 = 3[/tex]

Hence, the coordinates of C are: C(-3,3)

Question 5 of 10
Which of the following functions best describes this graph?

Answers

Answer:

A

Step-by-step explanation:

The function that best describes the graph is y = x²-9x+1+20

What is function?

A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable).

Given that, a graph, we need to find its function,

The parabola is intersecting the x-axis at 4 and 5, therefore, the function in the option having value of equal to 4 and 5 is the function of the graph,

So, the first function is =

y = x²-9x+20

Put y = 0,

x²-9x+20 = 0

Factorizing the equation to get the values of x,

x²-9x+20 = 0

x²-4x-5x+20 = 0

x(x-4)-5(x-4) = 0

(x-5)(x-4) = 0

Therefore,

x = 5, 4

Since, the function is having solutions x = 5 and x = 4, therefore, the graph is of the function y = x²-9x+20.

Hence, the function that best describes the graph is y = x²-9x+1+20

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David bought two video games and a DVD. One video game cost $32.50 and the other video game cost $45.35. David spent a total of $115.65. How much did the DVD cost?

Answers

Answer:

$37.80

Step-by-step explanation:

Add the cost of the 2 video games together to get 77.85

Subtract 77.85 from the total, $115.65

$37.80

Hope this helps :-)

What number is 7 units to the left of -1?


Answers

Answer:

-8 I think on a graph right

Answer:

-8

Step-by-step explanation:

on a number line -1 is one unit away add we just add 7 units. To get -8!

If (x + 5)/2 is an integer, then x must be?

Answers

x must be a negative number

(n^(4))/(n^(4)) what does that equal?

Answers

Answer:

the answer would be 1 happy to help ya :)

Step-by-step explanation:

Is 65 + -58 positive or negative?

Answers

The answer is a positive because it’s like 65-58 and that will give us 7

Find the value of X round to the nearest tenth. I need help.

Answers

Answer:

x ≈ 22.1°

Step-by-step explanation:

Using the law of cosines, then

cosC = [tex]\frac{a^2+b^2-c^2}{2bc}[/tex]

with a = 19, b = 14, c = 8 and C = x, thus

cos x = [tex]\frac{19^2+14^2-8^2}{2(19)(14)}[/tex]

         = [tex]\frac{361+196-64}{532}[/tex]

         = [tex]\frac{493}{532}[/tex], thus

x = [tex]cos^{-1}[/tex] ([tex]\frac{493}{532}[/tex] ) ≈ 22.1° ( to the nearest tenth )

hector worked monday, tuesday and thursday from 9:00 am to 4:30 pm with a half hour lunch each day. How many total hours did he work?

Answers

9:00-4:30 is 7 1/2 hours but he took a 30 minute lunch break so each day he worked 7 hours. He worked 3 days so 7x3 is 21. Hector worked 21 total hours.
hector worked for about 21 hours

Let f(x) = x + 7 and g(x) = x − 4. Find f(x) ⋅ g(x). (1 point

Answers

Step-by-step explanation:

f o g(x)

= f(x - 4)

= (x - 4) + 7

= x + 3.

the answer is x+3 for this

30 pts and will mark brainiest.
please explain.​

Answers

Answer:B

Step-by-step explanation:

X+2 divide 3x^4-x+2=

3x^3-6x^2+12x-25=

52=

52/x+2

the answer is d. its simple,the reason of that is because you would set up the synthetic division using the coefficients of the numerator and the root of the denominator. divide using the rules for synthetic division.

3x 4 cubed- 6x3 cubed +12x 2 cubed-24x-z+48+  2(z-47)  over x+2

What is the value of a in the equation 5 a minus 10 b equals 45, when b equals 3?

Answers

Answer:

15

Step-by-step explanation:

5a - 10b = 45

5a - (10×3) = 45

5a - 30 = 45

5a = 45 + 30

5a = 75

a = 15

Evaluate \dfrac{e}{4}+2f-3 4 e ​ +2f−3start fraction, e, divided by, 4, end fraction, plus, 2, f, minus, 3 when e=12e=12e, equals, 12 and f=\dfrac12f= 2 1 ​

Answers

I have same question and I need help

0.18 repeating fraction in the simplest form.

Answers

Answer:

2/11

Step-by-step explanation:

Let's say our fraction is x = 0.1818181818...

The trick is to multiply x by 10²=100 in this case, since there are two repeating digits, and then subtract the original x.

So, in fact you are subtracting 0.181818 from 18.181818 which effectively cancels the entire bit after the decimal point.

You get:

100x - x = 18

Which you can solve:

99x = 18

x = 18/99 = 2/11

A class sold tickets for a dance. Student tickets cost $2 and faculty tickets cost $2.50. A total of $450 was collected and 216 tickets were sold. How many faculty tickets were sold?

Answers

If all 216 tickets sold were faculty tickets, the revenue would be 216 * 2.5, or $540

The actual revenue collected was $450. The difference between $540 and $450 is $90.

The difference between the student and faculty tickets are $2.50-$2, or .50

$90.00 / .50 = 180 student tickets sold.

That leaves 216-180, or 36 as faculty tickets.

180 student tickets at $2 = $360

36 faculty tickets at $2.50 = $90

$360 + $90 = $450

find the perimeter of the triangle to the nearest unit A(-2,3) B(2,1) C(-2,1)​

Answers

Answer:

  10 units

Step-by-step explanation:

We can find the length of the hypotenuse of this right triangle using the Pythagorean theorem.

  AB² = AC² +BC²

  AB² = 2² +4² = 20

  AB = √20 ≈ 4.47

Then the perimeter is ...

  P = AB +BC +CA = 4.47 +4 +2 = 10.47

  P ≈ 10 units

How can I solve this quadratic equation by factoring?

Answers

First set the equation equal to 0 by subtracting n from both sides.

That leaves us with 8n² - 11n = 0.

Since the GCF on the left is n, we can

factor it out to get n(8n - 11) = 0.

So either n = 0 or 8n - 11 = 0.

Solving for n in the second equation, we get n = 11/8.

So our solution is {0, 11/8}.

Tentukan nilai x yang memenuhi ketidaksamaan. |3x + 12| < 2 |x - 6|

Answers

Answer:

          x∈(-24, 0)     -24 < x < 0

Step-by-step explanation:

|3x + 12| < 2 |x - 6|

|3(x + 4)| < 2 |x - 6|        ⇒  -4 and 6 are "zeros"

1°.  x∈(-∞, -4> ⇒ |3x + 12| = - (3x + 12)  and  2|x - 6| = -2(x-6)

-(3x + 12) < -2(x - 6)

-3x - 12 < -2x + 12

  -x < 24

x > -24  ∧ x∈(-∞-4> ⇒ x∈(-18, -4>

2°.  x∈(-4, 6)  ⇒ |3x + 12| = 3x+12  and  2|x - 6| = -2(x-6)

3x + 12 < -2(x - 6)

3x + 12 < -2x + 12

  5x < 0

x < 0  ∧ x∈(-4, 6)  ⇒ x∈(-4, 0)

3°.  x∈(6, ∞)  ⇒ |3x + 12| = 3x+12  and  2|x - 6| = 2(x-6)

3x + 12 < 2(x - 6)

3x + 12 < 2x - 12

  x < -24

x < -24  ∧  x∈(6, ∞)  ⇒ x∈∅

x∈1°∪2°∪3°

x∈(-24, -4>∪(-4, 0)∪∅

x∈(-24, 0)     -24 < x < 0

Nate runs 8 miles each week. Write an expression for the number of miles he runs in n weeks. Find the number of miles Nate runs in 5 weeks.

Answers

Total miles = number of miles per week x number of weeks:

Total = 8n

For 5 weeks, replace n with 5:

Total = 8(5) = 8 x 5 = 40 miles

Answer:

8x, 40 miles

Step-by-step explanation:

He runs 8 miles each week.

8 miles x week

8 x week

To replace week, use a variable, commonly x.

8x

For 5 weeks, plug in the numbers.

x = 5

8 x 5 = 40

40 miles

Hope this helped, please mark Brainliest for everyone to see! :)

Can someone please tell me if this makes sense in English?, is well written and I have used the expressions well? Please I was learning English.

Dear Grievance Manager
I am writing this letter to bring your attention that I am not satisfied with your quality of sending services at "Adornet".

The last month, on 30th July exactly, I bought in a online way in "Adornet" because i live in other country. It was a collectiable necklace, that had an hourglass in its center.

The managers told me that the order should arrive in two weeks, but it arrived in three and a half weeks. I have been a regular client of your business but now I am complety disappointed, becuase when i received the package i notice that it was in bad condition and I found that the hourglass was broken. The way they packed it had been a lot more sloppy than the other times I shopped here.

i called to the shop the same day and I mentioned that they did not pack the necklace with due protection, but the shop assistant refuse to change it or make a refund. She said that it wasn't a store fault.

Please, I have always been satisfied with your services, but this time I think I'm entitled to a refund of my money and I would like to know how I can get it back. I look forward to hearing fron you soon.

Yours truly.
Gaby D.C

Answers

Answer:

Well Written

Step-by-step explanation:

Great Job

once again why is it so dumb???

Answers

Answer: vrey suptuidddd

Step-by-step explanation:

Paula used these steps to solve an equation: Step 1: Step 2: Step 3: Step 4: Step 5: Between which two steps did Paula use the division property of equality?

Answers

Answer:

Step 4

Step-by-step explanation:

Paula used these steps to solve an equation:

Step 1: -4(7 + 8) - 21 = 25

Step 2: -4r – 32 - 2x = 25

Step 3: -61 – 32 = 25

Step 4: -6x = 57

Step 5: x = -9.5

Between which two steps did Paula use the division property of equality?

Step 1: -4(x + 8) - 2x = 25

Opening the parenthesis

Step 2: -4x – 32 - 2x = 25

Combining x-terms

Step 3: -6x – 32 = 25

Adding 32 to both sides

Step 4: -6x = 57

Dividing both sides by -6

Step 5: x = -9.5

The Division Property of Equality states that: when both sides of an equation are divided by the same nonzero number, both sides remain equal.

The rule applies to step 4 where both sides of the equation is divided by -6(nonzero number) giving us x = -9.5

This means from the equation, x is equal to -9.5 and -9.5 is equal to x

The correct answer is step 4

Answer:it is step 4 and 5 hope this helps

Step-by-step explanation:

7 kilogramos cuanto miligramos son

Answers

Answer - 700000 milligrams

Answer:

7e+6

Step-by-step explanation:

7e+6 miligramos

Is this sum rational or irrational? Explain.

1.12 + 18/7 (1 point)

The sum is rational because both 1.12 and 18 are rational, and the sum of rational numbers is rational.

The sum is irrational because 1.12 is irrational, and the sum of a rational number and an irrational number is irrational..

The sum is rational because both 1.12 and 18 are positive, and the sum of positive numbers is rational.

The sum is irrational because 18 is irrational, and the sum of a rational number and an irrational number is irrational.​

Answers

Answer: The sum is irrational because 18/7 is irrational, and the sum of a rational number and an irrational number is irrational

Step-by-step explanation:

Given the two numbers :

1.12 and 18/7

1.12 is a rational number as it is a not a non-terminating decimal and can accurately be expressed in the form a/b, where a and b are integers, thus 1.12 is equivalent to 112 / 100

18/7 on the other hand is an irrational number as it is a non-terminating decimal.

Hence, takingbthe sum of both numbers (rational and irrational) results in an irrational output.

18 / 7 = 2.57142857....

Taking the sum of both,

1.12 + 2.57142857... = 3.69142857... ; which is irrational

Answer:

The sum is irrational because 18/7 is irrational, and the sum of a rational number and an irrational number is irrational.

Step-by-step explanation:

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