5x - 14 = 3(3x + 6) + 5

Answers

Answer 1

Answer:

x= -9.25

Step-by-step explanation:

5x - 14 = 3(3x + 6) + 5

5x - 14 = 9x + 18 + 5.......distribute

-4x = 37.............move values and combine like terms

x= -9.25.............divide both sides by -4


Related Questions

help, please i cant do this

Answers

Answer:   x = 3.95

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

Explanation:

Use the pythagorean theorem to tie together the three sides of the right triangle.

[tex]a = x-3 = \text{horizontal leg}\\b = x+5 = \text{vertical leg}\\c = 9 = \text{hypotenuse}[/tex]

[tex]a^2 + b^2 = c^2\\(x-3)^2 + (x+5)^2 = 9^2\\x^2-6x+9 + x^2+10x+25 = 81\\2x^2+4x+34 = 81\\2x^2+4x+34-81=0\\2x^2+4x-47=0\\[/tex]

From here, we use the quadratic formula to solve for x.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(4)\pm\sqrt{(4)^2-4(2)(-47)}}{2(2)}\\\\x = \frac{-4\pm\sqrt{392}}{4}\\\\x \approx \frac{-4\pm19.79898987}{4}\\\\x \approx \frac{-4+19.79898987}{4} \ \text{ or } \ x \approx \frac{-4-19.79898987}{4}\\\\x \approx \frac{15.79898987}{4} \ \text{ or } \ x \approx \frac{-23.79898987}{4}\\\\x \approx 3.94974747 \ \text{ or } \ x \approx -5.94974745\\\\[/tex]

We'll ignore the negative x value because it makes the sides x+5 and x-3 to be negative numbers. Negative side lengths make no sense.

The only practical solution is roughly x = 3.94974747; rounding to 3 sig figs leads to the final answer of x = 3.95

In this case, 3 sig figs means that we're rounding to 2 decimal places.

simpify 5 cubed to the power of 6
[tex]5 cubed to the power of 6[/tex]

Answers

[tex]\displaystyle (5^3)^6 = 5^{(3 \times 6)} = 5^{18}[/tex]

(5^3)^6 = 5^6x3 —> = 5^18

[tex]\sqrt{250} * 810[/tex]

Answers

v250 * 810
15.81 * 810
12807. 22 or 4050v10

LCM of 4/6 and 4/8????

Answers

Answer:

24 is the LCM of 4,6,8. I think thats what your looking for.

Hope this helps!

Step-by-step explanation:

Is - 1/2 equivalent to 1/-2

Answers

YES

- 1/2 is equivalent to 1/-2

The detailed answer is in the image attached.

Hope it helps you.....

Please mark as Brainlliest!!!

Lindsay got her hair cut. The cost of a haircut
is $16. If she wants to tip her hairstylist 20%,
how much should she leave for the tip?

Answers

16 x .20 add the .20 value for the total price

which problem solving strategy would be best to solve this problem?

To study for the spelling competition, Jose memorized 2 words from the list. The next day, Jose memorized 4 words from the list. The third day, Jose memorized 8 words from the list. If Jose continues, how many words will he memorize on the tenth day

A.look for a pattern

B.work backwards

C.write an equation

D.guess, check and revise​

Answers

Answer:

The best solving strategy is D. Finding a pattern would be decent, but D clearly is an better answer,

Step-by-step explanation:

Emily spends $28 on food. This amount of 4/9 of her allowance, what is Emily’s allowance?


please help with explanation !

Answers

Answer:

$63

Step-by-step explanation:

so we want to find 9/9 of her allowance, which is 100%

we could use a proportion:

let 'a' = full allowance

[tex]\frac{28}{1}[/tex] ÷ [tex]\frac{4}{9}[/tex] = [tex]\frac{a}{1}[/tex] ÷ [tex]\frac{9}{9}[/tex]

when we divide fractions we multiply by the reciprocal to get:

28 x 9/4 = a

a = 252/4

a = 63

y=-3x+2
A line goes through the point (-3,1) and is perpendicular to the line above,
answer the following:
a. what is the equation of the line that goes through these points in Slope-Intercept Form.
b. What is the x-intercept?
c. What is the y-intercept?

Answers

Answer:

a. y= 1/3 x + 2

b. x= -6

c. y=2

Step-by-step explanation:

a. y= mx+ c

the points are (-3,1)

the gradient is 1/3 as it is perpendicular

therefore substituting:

1= 1/3 (-3) +c

1= -1 +c

c= 1+1

=2

So, y= 1 x + 2

3

b.

x-intercept is when y=0

so substituting 0 in the equation

here: 0=1/3x + 2

1/3 x = -2

x = -6

c.

y-intercept is when x=0

y=1/3 (0) +2

y=2

In a square of side length s, what is the length of a diagonal?

Answers

Answer:

[tex]s\sqrt{2}[/tex]

Step-by-step explanation:

This would be the diagonal because the formula for diagonals in a square would be [tex]a\sqrt{2}[/tex], where a is the side length.


What’s the slope or fraction?

Answers

Two ways to do this
You can draw a triangle from (6,10) and (0,8), then count from vertical to horizontal: 2 triangles/6 triangles
The slope is 2/6 or 1/3

You can also use slope formula
First find any two points on graph
(0,8) and (3,9)
Remember: (y2-y1)/(x2-x1) = slope
(9-8)/(3-0) = 1/3

The slope is 1/3

Simplify the expression.
x - 9 - 5x+7 - 2y ​

Answers

Answer:

add the like terms then look for a gcf to take out atleast for this one

so -9+7= -2

-5x + 1x = -4x

and -2y

we can take -2 out of all those

so our answer is -2(2x+y+1

1+1
This is pretty easy I know

Answers

Answer: 2

Step-by-step explanation: i dont even need to explain

Answer:

2

Step-by-step explanation:

one apple plus one apple gives you two apples :)

About 2% of the population has a particular genetic mutation. 400 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 400.

Answers

Answer:

200

Step-by-step explanation:

So it'll be 400 ÷ 2 = 200 , and a way to to check your way would be 200 x 2 = 400

what is 5 taken away from the product of 4 and a number. ​

Answers

Answer:

3

Step-by-step explanation:

Not sure, but let's take 32 to be the answer

4(5+x)=32

4×5= 20

4×x= 4x

20-4x=32

4x=32-20

4x=12

12÷4

x=3

Answer:

4n - 5

Step-by-step explanation:

let the number be n then the product of 4 and this number is 4n

Subtract 5 from 4n gives

4n - 5

what are complementry angles

Answers

Answer:

either of two angles whose sum is 90°

Hello there! :)

Complementary angles are angles that add up to 90 degrees.

Example:

34 and 56 are complementary angles.

Hope this helps!

~Just a gloomy teen

#CarryOnLearning

[tex]SilentNature \\:([/tex]

(a) 3 - 2/3÷4/3 × 7
(b) [(2/3)/(5/6)]-2/5
(c) {(-3/4) +( 1/2)}/{(2/5)-(5/2)}

Answers

Step-by-step explanation:

a. (3 - 2/3) ÷ (4/3 x 7)

= [(3 x 3) / (1 x 3) - 2/3] ÷ 28/3

= (9/3 - 2/3) ÷ 28/3

= 7/3 x 3/28

= 21/84

= (21 x 1) / (21 x 4)

= 1/4

b. 2/3 ÷ 5/6 - 2/5

= 2/3 x 6/5 - 2/5

= 12/15 - 2/5

= (3 x 4) / (3 x 5) - 2/5

= 4/5 - 2/5

= 2/5

c. (- 3/4 + 1/2) ÷ (2/5 - 5/2)

= [- 3/4 + (1 x 12) / (2 x 2)] ÷ [(2 x 2) / (5 x 2) - (5 x 5) / (2 x 5)]

= (- 3/4 + 12/4) ÷ (4/10 - 25/10)

= 9/4 ÷ (- 21/10)

= 9/4 x - 10/21

= - 90/84

= (6 x - 15) / (6 x 14)

= - 15/14.

If you have any doubt, then you can ask me in the comments.

Describe the following

Answers

Answer:

yes it's a function, but not a relation.

Step-by-step explanation:

Because it is a polynomial function

What is 968.1 as a fraction

Answers

I believe it is 9681/10.

Answer:

the answer is 9681/10

Step-by-step explanation:

9681/10

140 grams of almonds cost $3.5. Mechael needs almonds for the dish she is preparing. How much she has to pay for 500 grams of almonds cost?​

Answers

Answer:

$12.5

Step-by-step explanation:

140 divided by 7 is 20, since 20 is a factor of 500, it will make it easier. Since we divided the 140 grams by 7, we also have to divide the $3.5 by 7, which will get you$0.5. 20 times 25 is 500, so you will also time the $0.5 by 25 which will get you $12.5

An equilateral triangle and a rectangle have the same perimeter.
How do you find the side lengths of the equilateral triangle and the rectangle?

Answers

I think you already got the explanation part

I've just solved for 'x' in here

And to check if the answer is correct or not, you just put in this value of x and try finding the perimeter for each.

You'll get 24 units!

I'm sorry, but it wouldn't let me answer earlier XD

If one ream of bond paper costs (3x -4) pesos. How many reams can you buy for ( 6x4 -17x3 +24x2- 34x + 24) pesos?

Answers

Answer:

1 ream = (3x - 4) pesos

Price of n reams = (6x^4-17x^3+24x^2 34x+24) pesos

Solution:(pic1)

number of reams 3x-4

By using synthetic division,

3x-4=0

3x=4

x=4/3

6 -17 24 -34 24 | 4/3

8-12 16-24

6 -9 12-18 0

Final equation is:(pic2)

A beach ball has a radius of 3 inches calculate volume

Answers

Answer:

113.1 in.³

Step-by-step explanation:

V = (4/3)πr³

V = (4/3) × 3.14159 × (3 in.)³

V = 113.1 in.³

Someone help me pls!

You can buy 3 apples at Quick Mart for $1.17. You can buy five of the same apples at Shop & Save for $2.40

How much will you save per apple if you buy them at the cheaper store?

Answers

Answer:

$0.09 or 9 cents

Step-by-step explanation:

1.17/3=0.39

2.4/5=0.48

0.48-0.39=0.09

Answer:

Well you can divide them by each

1.17/3 which is 0.39 (quick mart)

2.4/5 Which is 0.48 (stop and save)

39 cent is what you pay at the cheaper store

9 cents is what you would save

-also you go to bay academy?

I haven’t seen Jupiter ed in so long hahah

If the simple interest on ​$1000 for 2 years is ​$​100, then what is the interest​ rate?

Answers

Answer:

R = 450%/year

Equation:

r = (1/t)(A/P - 1)

Converting r decimal to R a percentage

R = 4.5 * 100 = 450%/year

Jenerucshshhdhdhshshsdhhsbnjd

what is the center and radius of
[tex]x {}^{2} + y {}^{2} - 2x + y - 1 = 0[/tex]

Answers

Hopefully this helps you answer your question

[tex] = circle \: \: with \: \: the \: \: radius \: \: r = \frac{3}{2} \: \: and \: \: the \: \: center \: \: (1, - \frac{1}{2} )[/tex]

see the attachment

hope it helps

Find the perimeter. Simplify your answer.

Answers

it would be 4b-4, as you add all the sides

Which of these are prime numbers 5,6,9,13,18

Answers

Answer:

5 and 13

Step-by-step explanation:

Answer:

13

is the answer

Hope it help u

Explain relative dating and its relationship to the Law of Superposition

Answers

Answer:

its b i took the test

Step-by-step explanation:

its b

Write an equation that represents this question below ...

Answers

Where’s the question????
Other Questions
Read the paragraph from a section of students report about dealing with stress. Drag the heading into the box that best tells readers what the section of the report is about. Response area Lack of sleep and stress go hand in hand. There are steps to take to get a better nights rest. Regular exercise each day is important for relieving stress and getting enough sleep. To improve sleep quality, one should also make it a habit to go to bed and wake up at the same time each day. People need different amounts of sleep depending on their age and activity level. Set up a nightly routine, like reading for fifteen minutes before bed, to help the mind and body prepare for sleep. Make sure your bedroom is dark and quiet. Put away phones, toys, and electronics, and turn off the television. what was a negative consequence of the columbian exchange? Read the sentences from a teenagers letter.When I met my cabin mates at science camp, I found out they come from various places around the United States, including Atlanta, Georgia, Buffalo, New York, Eugene, Oregon, and Las Cruces, New Mexico. All of them are older than I am and have more science background, nevertheless I feel confident that we will all get along fine.Which revisions show correct use of semicolons in this letter?1) When I met my cabin mates at science camp, I found out they come from various places around the United States, including Atlanta, Georgia; Buffalo, New York; Eugene, Oregon; and Las Cruces, New Mexico. All of them are older than I am; and have more science background; nevertheless, I feel confident that we will all get along fine.2) When I met my cabin mates at science camp, I found out they come from various places around the United States, including Atlanta, Georgia; Buffalo, New York; Eugene, Oregon; and Las Cruces, New Mexico. All of them are older than I am and have more science background; nevertheless, I feel confident that we will all get along fine.3) When I met my cabin mates at science camp, I found out they come from various places around the United States; including Atlanta, Georgia, Buffalo, New York; Eugene, Oregon, and Las Cruces, New Mexico. All of them are older than I am and have more science background, nevertheless, I feel confident that we will all get along fine.4) When I met my cabin mates at science camp; I found out they come from various places around the United States, including Atlanta, Georgia; Buffalo, New York; Eugene, Oregon; and Las Cruces, New Mexico. All of them are older than I am and have more science background, nevertheless; I feel confident that we will all get along fine.help please!! AND NO LINKSS PLEASE?! Which sentence uses theunderlined academicvocabulary word incorrectly?A. Whereas it is getting late, I propose wecontinue this discussion tomorrow.B. Whereas it is getting late and we canfinish the discussion if we just hurry.C. If you want to increase sales, you willneed to promote the product.No links and need help asap!! Discuss the chain of events that caused the Tulsa Race Riot. (Site 1) think of two numbers which when add give 5 and substracts give 1 can someone answers this question please Dangers of using a cell phone while operating a vehicle. The cell phone is a unique example of how one object can cause multiple distractions. In complete sentences, please explain how using a cell phone while driving can be an example of all four distractions. (at least 5 sentence) what does ""the principle of least privilege"" mean as applied to security? A small, rocky object directly orbits the sun. If this object is not large enough to be a planet, it most likely is what? In this clip, 11-year-old Ally talks about her relationship with her parents. She says she has a ________ relationship with her parents a Which of the following is NOT a Congressional power? 1. According to the first three paragraphs of this excerpt of the speech, what has Winston Churchill been doing since becoming prime minister A(n) __________ works like a burglar alarm in that it detects a violation (some system activities analogous to an opened or broken window) and activates an alarm. can someone help me with these 3 pls? what is atmospheres A 48-year-old, sedentary, overweight male with low back and knee pain inquires about your personal training services. What steps would you take to convert the individual into a client? 11. Which of the following are functions of the cranial bones? (1) protection of the brain; (2) attachment of muscles that move the head; (3) protection of the special sense organs; (4) attachment to the meninges; (5) attach- ment of muscles that produce facial expressions. (a) 1, 2, and 5 (b) 1,2,4, and 5 (c) 2 and 5 (d) 1,2,3, and 5 (e) 1,2,3,4, and 5 Biology which statement applies to cholesterol?A. It is hydrophobic and found on the outside of the phospholipid biyalerB. It is hydrophilic and found inside the phospholipid bilayerC. It impacts membrane fluidity.D. It is transported in association with glucose in the blood. Font-elles leurs devoirs ensemble?Non, elles font rarement leurs devoirs ensemble.O Oui, d'habitude elles font leurs devoirs de maths ensemble.