solve for x: -2(x+9)=5(x-7)

Answers

Answer 1

Answer: [tex]x[/tex] = [tex]\frac{17}{7}[/tex]

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Expand.

−2[tex]x[/tex] − 18 = 5[tex]x[/tex] − 35

Step 2: Add 2[tex]x[/tex] to both sides.

−18 = 5x − 35 + 2[tex]x[/tex]

Step 3: Simplify 5[tex]x[/tex] − 35 + 2[tex]x[/tex] to 7[tex]x[/tex] − 35.

−18 = 7[tex]x[/tex] − 35

Step 4: Add 35 to both sides.

−18 + 35 = 7[tex]x[/tex]

Step 5: Simplify −18 + 35 to 17.

17 = 7[tex]x[/tex]

Step 6: Divide both sides by 7.

[tex]\frac{17}{7}[/tex] = [tex]x[/tex]

Step 7: Switch sides.

[tex]x[/tex] = [tex]\frac{17}{7}[/tex]

~I hope I helped you! :)~


Related Questions

Mikey and some of his friends went to play paintball yesterday. The park where they played charges $5.59 per game they play for each person. If Mikey brought 7 friends with him, and the total amount they paid was $178.88, how many games of paintball did they play?

A. 32
B. 5
C. 4
D. 22

Answers

4 games as:

5.59 * 8 = 44.72

178.88/44.72 = 4

Answer = C. 4

Mark as Brainliest please

Consider the functions f(x) = 2x + 9 and g(x) = (x - 9)/2. Calculate the following.
A. g( f( 15)) B. g( f( -3)) C. g( f( x))

Answers

9514 1404 393

Answer:

  A. 15

  B. -3

  C. x

Step-by-step explanation:

C. Since we want different values of g(f(x)), it is convenient to find that first.

  g(f(x)) = g(2x +9) = ((2x +9) -9)/2 = 2x/2

  g(f(x)) = x

__

A. g(f(15)) = 15

__

B. g(f(-3)) = -3

Simplify 50/780 if possible

Answers

Answer: 5/78

Step-by-step explanation: u simplify

Answer:

5/78

Step-by-step explanation:

Divide both parts by 10.

Hope I helped :)

Solve mobiles plz help I’m confused

Answers

Answer:

Gold square = 4

Blue triangle = 3

Step-by-step explanation:

Red hexagon = 6, and there are 4 red hexagons.  So the total is 24.

Therefore, the total on the other side must also be 24.

That means the 4 blue triangles add up to 12, and the 3 gold squares add up to 12.

So each blue triangle is 3, and each gold square is 4.

can someone check my account to help me on my newest math problems?
CORRECT ANSWERS ONLY
wrong ones will be reported instantly

Answers

Answer:

Absolutely, I would be more than willing to.

Select the false statement

A. Dilations make pre-images bigger.
B. Dilations make pre-images smaller.
C. A dilated image has different angle measurements than the pre-image.
D. A dilated image has the same angle measurements as the pre-image.

Answers

Answer:

C

Step-by-step explanation:

A & B & D are true

It simply makes it bigger/smaller with keeping the same angle measurements.

A breakfast cereal comes in two different sized packages. The 8-ounce box costs $2.88 while the 12-ounce box costs $3.60. Which is the better buy? How much does the better buy cost per ounce?

Answers

Answer:  the 12 once box

Step-by-step explanation:

8- once box =.36 and the 12 once box is =.3

Answer:

(12-ounce box) $0.30

Step-by-step explanation:

2.88 divided by 8 = $0.36 per ounce

3.60 divided by 12 = $0.30 per ounce

MATH HELP ME ASAP PLEASE

Answers

Answer:

53lbs.

Step-by-step explanation:

If Kevin bought 3 20lbs. Bags of gravel he would have 60 lbs. of gravel. In the end he has 7 lbs. of gravel left he used 53 pounds.

Equations:

7+x=60 or 60-7=53 lbs.

Answer:

3 pounds of gravel

Step-by-step explanation:

If you look at the chart, each bag of gravel is 20 lbs. If he bought 4 then that is 20 x 4. That equals 80. If he only used 77 pounds of it, then you get 80-77. That equals 3

Solve

44 = 2(3x - 5)

Answers

6x-10=44
-10. -10
6x=34
/6 /6
X=5.67

Answer:

x = 9

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

44 = 2(3x − 5)

44 = (2)(3x) + (2)(−5) (Distribute)

44 = 6x + −10

44 = 6x − 10

Step 2: Flip the equation.

6x − 10 = 44

Step 3: Add 10 to both sides.

6x − 10 + 10 = 44 + 10

6x = 54

Step 4: Divide both sides by 6.

[tex]\frac{6x}{6} = \frac{54}{6}[/tex]

x = 9

Hope it helps!!

Based on the graph, which of the following represents a solution to the equation
(-2,-3)
(3,2)
(1,3)
(3,1)

Answers

We need a picture of the graph

Answer:

Add a picture of the graph please?

Step-by-step explanation:

write an equation that passes through (2,3) with a slope of 5

Answers

Answer:

7

Step-by-step explanation:

y=mx+c put the value of

x=2,y=3 and m=5 and solve this and you will get the answer of c=7

2) Ruth borrows $440 at 0.6% simple interest per month. When
Ruth pays the loan back 4 years later, how much interest does
Ruth pay?

Answers

Answer:

$10.56

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 0.6%/100 = 0.006 per year,

then, solving our equation

I = 440 × 0.006 × 4 = 10.56

I = $ 10.56

The simple interest accumulated

on a principal of $ 440.00

at a rate of 0.6% per year

for 4 years is $ 10.56.

Answer:

450.56

Step-by-step

440 x 0.006 x 4 + 440 =450.56

The distance between two towns is 130 kilometers. There are approximately 8 kilometers in 5 miles.

Which measurement is closest to the number of miles between the two towns?

Please Give A Good Answer Ill Give Brainest And Extra Points ​

Answers

Answer: 81 miles

Step-by-step explanation:

From the question, we are informed that the distance between two towns is 130 kilometers and that there are approximately 8 kilometers in 5 miles.

The measurement that is closest to the number of miles between the two towns goes thus:

Firstly, we need to divide 130 kilometers by 8 kilometers. This will be:

= 130/8

= 16.25

Then, we multiply 16.25 by 5 to get the number of miles between the two towns. This will be:

= 16.25 × 5 miles

= 81.25 miles

= 81 miles

the coldest temperature on record in town A is -3.33 degrees Fahrenheit. The coldest temperature on record in town B is -3 2/5 Fahrenheit. Which town has the colder temperature?​

Answers

Answer:

town b

Step-by-step explanation:

-3.33 degrees is smaller than 2/5 of 1.00 because 2/5 is 0.4 so -3.4 degrees is colder than -3.33.

please help.

The price of an item at a store is p. The tax that is charges is 7%. The expression below shows the total amount that has to be paid. Mark all that apply. look at the picture I attached.

Answers

Answer:

E and D

Step-by-step explanation:

Roberta is planting flowers in her garden. She plants 9 rows of flowers. There are 7 flowers in each row. How many flowers does she plant in all?

Answers

Answer:

63 flowers

Step-by-step explanation:

all you have to do is multiply 7 and 9

Need help?!!??!!!!!!!

Answers

Answer:

Step-by-step explanation:

m : n = 2 :1

A(1 , 3 )    ;  x₁  = 1 & y₁ = 3

 B(7, 8)     ; x₂ = 7  & y₂ = 8

Required Point = [tex](\frac{mx_{2}+nx_{1}}{m+n},\frac{my_{2}+ny_{1}}{m+n})[/tex]

                        [tex]=(\frac{2*7+1*1}{2+1},\frac{2*8+1*3}{2+1})\\\\=(\frac{14+1}{3},\frac{16+3}{3})\\\\\\=(\frac{15}{3},\frac{19}{3})\\=(5,6.3)[/tex]

Write the equation of the line that passes through the points (7,-9) and (2,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line

Answers

Answer:

y=-2x+3

Step-by-step explanation:

see the attached above.

I really sorry if you can't read me what I have done.

Best of luck :-)

Caitlyn was drawing in Art class. She had 20 hearts and 15 flowers.
What is the ratio of flowers to hearts?

Answers

Answer:

15:20

Step-by-step explanation: Well we know that we have 20 hearts and 15 flowers. In the question, it mentions flowers first so we put the flowers first in the ratio. flowers:hearts or 15:20

15 : 20 hope it helped:)

What is the value of x?
A.) х= 21
B.) x= 28
C.) x= 35
D.) x= 37

Answers

Answer:

I think the answer is B 28 sorry if I am wrong

Answer:

x=37

Step-by-step explanation:

Help needed immediately. :( this is my my third time posting and no one is helping

Answers

Answer:

I know for a fact its the first and third ones but if there are more than those two I don't know

Step-by-step explanation:

Answer:

triangles ABC and DCB are congruent by the side-angle-side triangle congruence theorem is the correct answer

hope it helps you!

Find −7(9m−2)+(−5+6m).

Answers

Answer:

- 57m + 9

Step-by-step explanation:

Hi there !

−7(9m − 2) + (−5 + 6m) =

= -7×9m - 7×(-2) - 5 + 6m

= - 63m + 14 - 5 + 6m

= - 57m + 9

Good luck !

Is the equation linear? Select Yes or No for each equation.

Answers

Answer:  1. yes  2.  yes  3. no

if x or y has more than one ex: xx

it is not linear

Gary had a pizza party for his friend 14 people showed up,and they had 50 pieces of pizza. How many pieces of pizza did each person have

Answers

Answer:

3

Hope this helps

Answer:

3

Step-by-step explanation:

each friend would have 3 pizzas

A diver is standing on a platform 25 feet above the pool. He jumps from the platform at an initial velocity of 10 ft/s. Use the formula h(t)=-16t^2+vt+s where his height above the water at time t seconds, v is the starting upward velocity, and s is his starting point to write an equation to model the dive

Answers

Answer:

(one thing to notice, the units of the 16 in the height equation should be ft/s^2, because this is an acceleration)

We know that:

v is the initial vertical velocity, and we know that it is 10ft/s

then:

v = 10ft/s.

s is the initial position, and we know that he starts on a platform 25ft above the pool, then if we define the pool as the 0 in the vertical axis, we have:

s = 25ft

Now we can write the height as:

h(t) = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.

Now with this equation, we can find the time it takes for the diver to hit the pool.

Remember that we defined the pool as the 0 in the vertical axis, then when h(t) = 0ft the diver will enter in the pool.

With that, we can find the value of t = time, that it takes for the diver to enter the pool.

h(t) = 0 ft = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.

Now we can solve this with the Bhaskara equation:

[tex]t = \frac{-10m/s +. \sqrt{(10m/s)^2 - 4*(25ft)*(-16ft/s^2)} }{-16ft/s^2*2} = \frac{-10ft/s +- 41.23ft/s}{-32ft/s^2}[/tex]

We will have two solutions:

t = ((-10 + 41.23)/-32) s = -0.96s

t = (-10 - 41.23)/-32) s = 1.6 s

The negative has no physical sense, so we can discard that option.

This means that the only correct option is 1.6 seconds, then the time that it takes for the diver to enter the pool after he jumps is 1.6 seconds.

Please help me............

Answers

Answer: Answer: I’m not big brain

Step-by-step explanation:

Step-by-step explanation:

A female hippopotamus can weigh 48,000
ounces. How many tons can a female
hippopotamus weigh?

Answers

Answer:

1.5 tons

Step-by-step explanation:

1 US tons is equal to 32,000 ounces. Using this, you divided 48,000/32,000 =  12/8 = 1.5 tons

YALLL PLZZZZ HELPPPP ANYBODYYYYY I DONT GET THIS

Answers

Answer:

121

Step-by-step explanation:

74+47=121

180-121=59

59+x=180

x=121

What’s the answer for this 3x+6x-4

Answers

Answer:

9x-4

Step-by-step explanation:

Add 3x and 6x hope it help

Answer:

9x - 4

Step-by-step explanation:

3x + 6x - 4

First, combine like terms, so you would add 3x and 6x together to form 9x

9x - 4

Because you cannot simplify this equation any more, that is the answer

I hope this helps :)

HELP ASAP
Given f(x)= -5x +2 and g(x)= x +4, find (f •g)(x)

Answers

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[tex]f(x) = - 5x + 2[/tex]

[tex]g(x) = x + 4[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex](f \times g)(x) = f(x) \times g(x)[/tex]

[tex](f.g)(x) = ( - 5x + 2)(x + 4)[/tex]

[tex](f.g)(x) = - 5 {x}^{2} - 20x + 2x + 8 \\ [/tex]

[tex](f.g)(x) = - 5 {x}^{2} - 18x + 8 [/tex]

Done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

f (x+4) = -5x -18
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