4(x - 1) + 5x = 6x - 16
Please help me solve the equation

Answers

Answer 1

Answer:

x=−4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(x−1)+5x=6x−16

(4)(x)+(4)(−1)+5x=6x+−16(Distribute)

4x+−4+5x=6x+−16

(4x+5x)+(−4)=6x−16(Combine Like Terms)

9x+−4=6x−16

9x−4=6x−16

Step 2: Subtract 6x from both sides.

9x−4−6x=6x−16−6x

3x−4=−16

Step 3: Add 4 to both sides.

3x−4+4=−16+4

3x=−12

Step 4: Divide both sides by 3.

3x/3=-12/3

x=-4

Answer 2

Answer:

4x-4+5x=6x-16, 9x-4=6x-16, 3x=-12, x=-4

Step-by-step explanation:


Related Questions

How does the graph of g(x)=4⌊x⌋ differ from the graph of f(x)=⌊x⌋?

Answers

Answer: C) Stretched vertically by a factor of 4

This is another way of saying "the graph of g(x) is 4 times taller compared to f(x)".

Recall that anything of the form g(x) = k*f(x) will basically stretch f(x) vertically by a factor of k, where k is any real number. This is because y = f(x) and k*f(x) will move the y coordinate k times further away. For 4*f(x), the y coordinate is moved 4 times further away. Do this for every point, and you'll have the vertical stretch mentioned earlier.

Find the area of the figure. Use 3.14 for π.

Answers

Answer:

196.48m²

Step-by-step explanation:

AREA OF THE PICTURE = AREA OF TRIANGLE + AREA OF SEMI CIRCLE

Length of base of the triangle = 16m

Length of perpendicular height of triangle = 12m

Area of triangle = [tex]\frac{1}{2} *16*12 = 96m^{2}[/tex]

Length of diameter of semi-circle = 16m

Length of radius of semi-circle = [tex]\frac{16}{2} =8m[/tex]

Area of semi circle = [tex]\frac{\pi 8^{2}}{2} = \frac{64 * 3.14}{2} =\frac{200.96}{2} =100.48m^{2}[/tex]

AREA OF THE FIGURE = 100.48 + 96 = 196.48m²

Tom got 7 over 8 pound of honey from a hive. He calculated the quotient of 7 over 8 ÷ 2 over 5 . Which statement shows the quotient and gives the most likely explanation of what Tom was trying to determine? (5 points)

a
He can make 14 over 40 of a bottle of honey with 2 over 5 pound of honey in each bottle.

b
He can get 14 over 40 pound of honey if he divides the honey into 2 over 5 -pound portions.

c
He can get 2 and 3 over 16 pounds of honey if he divides the honey into 2 over 5 -pound portions.

d
He can make 2 and 3 over 16 bottles of honey with 2 over 5 pound of honey in each bottle.

Answers

Answer:

C.

Step-by-step explanation:

He can get 2 3/16 pounds of honey if he divides the honey into 2/5 - pound portions.

7/8 / 2/5= 7/8 x 5/2= 35/16= 2 3/16 pounds of honey into 2/5 pound portions

via. google

Hope this helps dude

Tom can get 2 and 3 over 16 ([tex]2\frac{3}{16}[/tex]) pounds of honey if he divides 7 over 8 ([tex]\frac{7}{8}[/tex]) pound of honey into 2 over 5 ([tex]\frac{2}{5}[/tex]) pound portions: Option C.

Given the following data:

Quantity of honey = [tex]\frac{7}{8} \;pound[/tex]

To determine the statement which shows the quotient and gives the most likely explanation of what Tom was trying to calculate:

Translating the word sentence into an algebraic expression, we have;

7 over 8 divided by 2 over 5:

[tex]\frac{7}{8}\; \div \; \frac{2}{5}[/tex]

Applying the basic law of division for fractions, we have:

[tex]Quotient = \frac{7}{8}\; \times \; \frac{5}{2}\\\\Quotient =\frac{35}{16}[/tex]

Simplifying further, we have:

[tex]Quotient =\frac{35}{16} = 2\frac{3}{16}[/tex]

Therefore, Tom can get 2 and 3 over 16 ([tex]2\frac{3}{16}[/tex]) pounds of honey if he divides 7 over 8 ([tex]\frac{7}{8}[/tex]) pound of honey into 2 over 5 ([tex]\frac{2}{5}[/tex]) pound portions.

Read more on quotient here: https://brainly.com/question/3702921

find the hcf by long division method 434 ,775​

Answers

Answer:

775=434×1+341

Step-by-step explanation:

this is the answer

Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options. 0 6 feet by 2 feet by 3 feet 6 feet by 5 feet by 4 feet 7 feet by 6 feet by 4 feet 8 feet by 3 feet by 7 feet 8 feet by 4 feet by 3 feet​

Answers

Answer:

I think the answers are...

B. 6 feet by 5 feet by 4 feet

C. 7 feet by 6 feet by 4 feet

D.  8 feet by 3 feet by 7 feet

(I'm so sorry if it's wrong)

Hope this Helps!

Answer:

Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options.

6 feet by 2 feet by 3 feet

6 feet by 5 feet by 4 feet

7 feet by 6 feet by 4 feet

8 feet by 3 feet by 7 feet

8 feet by 4 feet by 3 feet

Step-by-step explanation:

the sale price of an item is $160 after a 20% discount what was the original price of the item

Answers

Answer:

200

Step-by-step explanation:

Because first you divide 160 by 4 (100-20=80, 80/100 simplified is 4/5) and you get 40. Then you multiply 40 by 5 and you get 200. Their are many ways to solve it. I personally think this is the easiest.

HOPE THIS HELPS

200$ is the original price.
20% of 200 is 40 so 200-40 is 160 which is the price of the item while on sale

Help me please .....

Answers

Answer:

the transformed function will be: [tex]\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}[/tex]

Step-by-step explanation:

We need to transform [tex]f(x)=\sqrt{x}[/tex] into g(x) using following translations

1) reflection in the x-axis

The reflection across x-axis will be:

[tex]g(x)=-\sqrt{x}[/tex]

2) Horizontal shrink by a factor of 1/3

The horizontal shrink by a factor of 1/3 will make the function g(x)

[tex]g(x)=-\sqrt{\frac{1}{3} x}[/tex]

3) Vertical translation up 2 units

The vertical translation up 2 units will make the function g(x)

[tex]g(x)=-\sqrt{\frac{1}{3} x}+2[/tex]

So, the transformed function will be: [tex]\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}[/tex]

Plz I need help u get brainliest if right when I’m done

Answers

I’m pretty sure it’s “B” hope I helped

Answer:

-2/5

Step-by-step explanation:

-4/5  ÷ 2  

-4 /5 ×  1 /2

-4 × 1

5 × 2

-4 /10

-4 ÷ 2

10 ÷ 2  

–2 /5

fully explain:
x(x+2)+1(x+2)
How does it become:
(x+1)(x+2)
????
Help! brainliest for best :)

Answers

➨ Let (x+2) = a ➩ [tex]xa+1a[/tex]

Then we factor a-term out of the expression ➩ Common Factor ➩ [tex]a(x+1)[/tex]

Then convert from a back to x+2

Thus, our answer would be ➩ [tex](x+2)(x+1)[/tex]

HELP TIMED BRAINLIST QUICK

Answers

it would be the third answer

the question is in the photo

Answers

is it me or is the photo not showing?

Answer:

no photo lol

Step-by-step explanation:

1 What is the equation of a line that has a
slope of 2 and passes through point (-6,
3)?
A y = 2x + 15
By = 2x + 9
C y = -3x + 9
Dy = -6x + 3

Answers

The answer is either A or B.

2x – 10 = 4x
solve for x​

Answers

Answer:

Step-by-step explanation:

2x-10=4x

-10=4x-2x

-10=2x

-10÷2=x

-5=x

Fun fact: If you put fun fact in front of a statement, people will click on it and read it. (Now answer)
36+14/25

Answers

386....
................

Answer:

the answer is 36+14/25=36.56

n old building has been demolished, and there are tons of debris to haul away. Each pickup load can hold a ton of debris. As many full loads as possible are hauled away. How much of a full pickup load is in the last load of debris?
Pick an answer!

1/6
8/27
2/3
7/9

Answers

Answer:

The question is incomplete...

Step-by-step explanation:

Please help and explain how you got the answer. Im giving out brainliest. || Q3

Answers

Answer:6:8

Step-by-step explanation:

The Answer to the problem is is 6:8

sophia used 1/10 of a liter of water to fill 1/4 of a fish aquarium. How much water, in liter is required to fill the aquarium?​

Answers

Answer:

4/10 of a liter

Step-by-step explanation:

if 1/10 of a liter fills 1/4 of the aqauium then your ratio is .1:.25 out of 100 so

100/25=4

Use triangles to find the sum of the interior angle measures of the polygon

Answers

Answer:

145

Step-by-step explanation:

Wait does that shape have 9 sides , if it does then I would do 9-2=7 because it’s quicker and easier ( I don’t use the triangle method but this method should still get you the answer) then you do 7x180=1260 and after you do 1260 divide by 9 (sides) to get your answer as 140

I NEED HELP SOMEONE PLEASE HELP ME I NEED ANSWER BY TODAY SOMEONE PLEASE HELP

Answers

Answer:

D 100% d

Step-by-step explanation:

Solve the proportion. 8/11 = 4/y + 2

Answers

Answer:

The answer is Y = - (22)/(7 )

Step-by-step explanation:

The parenthesis do not mean anything write 22/7 as a fraction.. why did you report my answer so rude

. If a random variable x has a discrete uniform distribution
1
fx(x) = 2
for x = 1,2, ..., 2k; 0 Otherwise.
Derive p.g.f. of X and Compute E(2X + 3)​

Answers

You flip the axis and onto the input

There were 350 apples on the tree in March. By September there were 420 apples on the tree. What was the percentage of change of apples on the tree? Round your answer to the nearest tenth.

Answers

Answer:

them some fast growing apples

Step-by-step explanation:

realy

Which of the following fractions is equal to the repeating decimal 0.555

Answers

Answer:

5/9

Step-by-step explanation:

5/9 is 0.5 recurring

it should be 5/9. so pick the first one !

What is the greatest common factor of 36, 90 and 108?

Answers

Answer:

The one greatest common factor of 36, 90, 108 is 18.

Step-by-step explanation:

How do you write 5 out of 6 in a fraction. Show how you got the answer.

Answers

Answer:

5/6

Step-by-step explanation:

bro ok this it ok okik

Answer:

5/6

5 out of 6

Step-by-step explanation:

Plz answer the question attached

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

To find the slope, you need to pick two points and put into the slope formula.  It doesn't matter which ones, you will get the right answer regardless.  I used (-3, 11) and (2, 1).

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{11 -1 }{-3 -2 } \\m=\frac{10 }{-5 } \\m=-2[/tex]

Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form.  You will also need to plug one of the given points.  Again, it doesn't matter which one.

[tex]y-y_{1}=m(x-x_{1} )\\y-1=-2(x-2)\\y-1=-2x+4\\y=-2x+5[/tex]

I need help with this question

Answers

Answer:

oehfinefnefikvds

Step-by-step explanation:

okokokoko

What's the midpoint between 3 and -5

Answers

Answer:

Step-by-step explanation:

just imagine you are on a number line and the numbers are

-5....-4.....-3.....-2....-1....0....1....2.....3

as you see the midpoint is -1

A TV report conducted a survey of 947 people in New York City and found that 35% of the population believe that the Yankees will miss the playoffs this year. In the accompanying dialogue, the reporter states, we are 97% confident that the true proportion of people in New York City who believe that the Yankees will miss the playoffs this year lies between 28% and 42% . What does 35% represent in the report

Answers

Answer:

[tex]35\%[/tex] represents the sample proportion of the population

Step-by-step explanation:

From the question we are told that

   The sample size is  n  = 947

   The proportion of the population that believes that the Yankees will miss the playoffs this year is    [tex]k = 35\% = 0.35[/tex]

From the question we are told the confidence level is  97%

   The lower limit of the confidence level is a = 28%

    The upper limit of the  b = 42%

Generally the sample proportion of this population is mathematically represented as

         [tex]\^ p = \frac{a+ b}{2}[/tex]

=>      [tex]\^ p = \frac{28 + 42 }{2}[/tex]

=>      [tex]\^ p = 35\%[/tex]

Hence  [tex]35\%[/tex] represents the sample proportion

Solve for n in the following equation. A=P(1+n) show all work

Answers

Answer:

n = A/P - 1

Step-by-step explanation:

1st step: subtract P from each side to get A/P = 1+n

2nd step: subtract 1 from each side to get the answer above

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