What is the first step in solving 6(3x+10) = 78?


Multiply both sides of the equation by 6.


Subtract 6 from both sides of the equation.


Simplify the left side of the equal sign by distributing the 6 across (3x + 10).

Answers

Answer 1

Answer:

Simplify the left side of the equal sign by distributing the 6 across (3x + 10).

Step-by-step explanation:

6(3x+10) = 78

Distribute the 6

18x +60 = 78

Subtract 60 from each side

18x+60-60 = 78-60

18x = 18

Divide each side by 18

18x/18 =18/18

x =1

Answer 2

Answer:

3rd option

Step-by-step explanation:

Given

6(3x + 10) = 78 ← distribute the parenthesis on left side

18x + 60 = 78 ( subtract 60 from both sides )

18x = 18 ( divide both sides by 18 )

x = 1


Related Questions

Determine the equation of the line perpendicular to y = 1/5x – 7 and passes through the point (-3,6).

Answers

Answer:

y = -5x - 9

Step-by-step explanation:

y = -5x + b

6 = -5(-3) + b

6 = 15 + b

b = -9

Pls give an actuel answer to this question. Thx :). WIll give brainest.

Answers

Answer:

47

Step-by-step explanation:

47

4 is 3 less than 7 so fits the requirement for the first part

47 reversed = 74

47 + 74 = 121

Answer:

47

So the number in the unit digit is x since it is unknown.

the number in the tens digit is 3 less than x which can be expressed as x-3.

we have to multiply x-3 by 10 since x-3 is supposed to represent the digit in the tens place. so we have 10(x-3)+x (we are adding x because in any number we always add the tens digit by the ones, for example, 13, 10 + 3)

the reverse number would instead be x in the tens place and (x-3) in the ones place so the equation would be 10x+(x-3)

10(x-3)+x + 10x+(x-3) is equal to 121.

distribute 10(x-3), 10x-30

10x - 30 + x +`10x+x-3

Add like terms, 10x+x and -30-3

11x-33+11x

11x+11x = 22x

so we have 22x-33=121

add 33 to both sides to isolate 22x

121+33= 154

22x=154, divide both sides by 22

154/22 = 7

x=7 but this is only the ones digit.

10(x-3)+x is the equation, so replace x with 7

10(7-3)+7

7-3 = 4 and 4*10 = 40

40 + 7 = 47

original number is 47

which one is the smallest 4/5 1/6 2/3 1/5

Answers

Answer:1/6

Step-by-step explanation:

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{4}{5}=\boxed{\bf 0.80\ or\ 80\%}}\\\\\\\mathsf{\dfrac{1}{6}=\boxed{\bf 0.166667\ or\ 16.6667\% }}\\\\\\\mathsf{\dfrac{2}{3}=\boxed{\bf 0.666667\ or \ 66.6667\%}}\\\\\\\mathsf{\dfrac{1}{5}=\boxed{\bf 0.20\ or \ 20\%}}[/tex]

[tex]\large\textsf{After converting the fractions to decimals and percentages, we can}\\\large\textsf{now out them from descending (least) to ascending (greatest) order}\\\large\textsf{to determine your result to this question}[/tex]

[tex]\boxed{\mathsf{\dfrac{1}{6}, \ \dfrac{1}{5}, \ \dfrac{2}{3}, \& \ \dfrac{4}{5}}}[/tex]

[tex]\large\textsf{The SMALLEST one out of your set is: }\boxed{\mathsf{\bf \dfrac{1}{6}}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf \dfrac{1}{6}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

The weight of three articles is 856 kg. If two of the articles weigh 502kg, what is 1/2 the weight of the third article?

Answers

Answer:

177 kg

Step-by-step explanation:

Find the weight of the third article by finding the difference between 502 and 856, since 856 kg is the total weight and 502 kg is the weight of the other 2 articles:

856 - 502

= 354

Now, find 1/2 of the weight, by dividing this by 2:

354/2

= 177

So, 1/2 the weight of the third article is 177 kg

find the equation to the line below *pls help asap* brainliest too the first answer and 30 points

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If you just plug in the answers, so lets take (1,6) and plug it into y = 6x

You could just solve it so it'd be like

6 = 6(1) and

12 = 6(2)

A rectangular cube of volume 8000cm3 has
length= 4x
width = 2x
Height= 1x
Find it's length, width and height.

Answers

Answer:

volumn= l*b*h

4x*2x*1x= 8000 cm3

8x= 8000 cm3

x= 1000cm3

length = 4000

breadth= 2000

height = 1000

What is Which expression is equivalent to (8 a minus 3 b + 7) minus (2 a + b minus 4)?

6 a minus 2 b + 11

6 a minus 4 b + 3

6 a minus 2 b + 3

6 a minus 4 b + 11

PLZ PLZ PLZ HELP

Answers

Answer:

6 a minus 4 b + 11

Step-by-step explanation:

(8a -3b +7) - (2a + b -4)

= 8a -3b +7 -2a-b +4

= 6a -4b + 11

Sonya wants to sew ribbon along each side of a square pillow if the pillow has an area of 144 square inches, how much ribbon must she buy to have the exact amount that she needs

Answers

Answer:

48 inches

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

144 = s^2

Taking the square root of each side

sqrt(144) = sqrt(s^2)

12 = s

The side length is 12

We want to find the perimeter to determine the amount of ribbon

P =4s

P =4*12

48 inches

PLEASE HELP WITH THIS GEOMETRY PROJECT IM GIVING ALL MY POINTS (45)

Answers

Answer:

YEAH!!!!!! ITS 45

Step-by-step explanation:

MHM!

Answer:

woooooooooooooooohoooooooooo points go brrrrrr

Step-by-step explanation:

!!

Which definition best describes vertical angles?
O A. A pair of angles whose sum is 180°
B. A pair of angles that combine to form a straight angle
C. A pair of angles whose sum is 90°
D. A pair of opposite angles formed by intersecting lines
SUBM

Answers

the correct answer is d

Bruce Wayne trabaja en un proyecto inmobiliario, éste consiste en un edificio con forma de prisma de base triangular, cuya planta baja se caracteriza por tener una piscina, un gimnasio y una cancha deportiva. Batman tiene este bosquejo de dicho proyecto: Los terrenos destinados para la piscina, el gimnasio y la cancha deportiva son cuadrados, de modo que la superficie de la cancha es de 2.500 m2 y la de la piscina es de 1.600 m2 . ¿Cuál es la superficie destinada al gimnasio?

Answers

Answer:

El área del gimnasio sería 2000 metros cuadrados

Step-by-step explanation:

Un lado del gimnasio será igual al lado de la cancha y el otro lado será igual al lado de la piscina.

Dado que tanto la cancha como la piscina tienen forma cuadrada. El lado de la cancha será raíz cuadrada de 2.500 m2 y el de la piscina será raíz cuadrada de 1.600 m2

Por lo tanto, el lado del gimnasio sería 50 y 40.

El área del gimnasio sería 50 * 40 = 2000 metros cuadrados

The rate of change is

Answers

Answer:   -4

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

Explanation:

Pick any two rows from the table to plug into the slope formula.

I'll pick the rows where every value is positive (rows 3 and 4)

Using the slope formula, we get the following:

m = (y2-y1)/(x2-x1)

m = (1-5)/(2-1)

m = -4/1

m = -4 is the slope and it's the rate of change

For any linear function, the slope and rate of change are the same thing.

х
If
5.3
=
12, what is the value of x?
8
0 ООО
18
o 24

Answers

Answer:18

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

The second choice is correct

Step-by-step explanation:

Go to a point like 4,3 and 0,1.   the difference in x is 4 since 4-0 = 4.

4,3 and 0,1 now we find the change in y, 3-1 which is 2. the formula for slope is change in y over change in x so 2/4 is the slope or 1/2.

The y intercept of the line is 1 since the line touches the y-axis at the y, 1.

therefore the equation is y = 1/2x + 1.

Please please help help please

Answers

Answer:

maybe the answer is equal. not sure.

Answer:

The answer is smaller

Step-by-step explanation:

because when we multiply two small ones we get a big one

When the park opened for the day, four people were in attendance. Every hour, the number of people tripled from the previous hour's attendance.

Part A: Determine the common ratio between the attendance each hour.

Part B: Write an equation that can be used to determine the attendance for the nth hour the park is open.

Part C: How many people were at the park during the second, fifth, and eighth hours the park was open? Show all work.

Answers

This will be Part:C if you need step
By step just reply but hope this helps !

A rental car costs $36 for one day plus an additional $0.50 per mile. What is the cost of renting a car for two days and driving it a total of 100 miles?

Answers

Answer: $122

I got 36•2=72
Then 0.50•100=50
72+50=122

Description:- Note down postal pin code of your place where you reside. Take x times of last 2 digits of that pin code and add number of family members to it. Put it equal to your age and solve for x.​

Answers

Answer:

x = 2/3

Step-by-step explanation:

The last two digit of postal code here is 12

We multiply this by x

so we have x * 12 = 12x

The number of family members is 6 ; and we are to equate it to my age which is 14

thus, we have the equation as;

12x + 6 = 14

12x = 14-6

12x = 8

x = 8/12

x = 2/3

Which expression is equivalent to ( x^1/4 y^16 )^1/2 ?​

Answers

Answer :: x^1/2 y 4

~ 1/4 x 1/2 = 1/2
16x 1/2 = 4
Siisikslaio8188181si991827272875819

C

Which angles are supplementary? You can just give 1 example so I get the idea

Answers

Answer

supplementary angles sum to 180

1 & 2

1 & 4

1 & 8

1 & 6

2 & 3

2 & 7

2 & 5

3 & 4

3 & 8

3 & 6

4 & 5

4 & 7

5 & 6

5 & 8

6 & 7

8 & 7

find the value of a²+b
if...
a=-2 and b=5

Answers

Answer:

9

Step-by-step explanation:

a^2 +b

Let a = -2 and b = 5

(-2)^2 +5

Exponents first

4 +5

Then add

9

Answer:

9

Step-by-step explanation:

Here, we have to observe that a^2 = a×a =-2 × -2 = 4

hence, a^2 + b = 4 + 5 = 9.

PLEASE HELP ASAP!!!!
Jackson is testing different types of planting soil to determine which type is most effective for growing strawberry bushes. He purchases two different brands of planting soil from a local store. Jackson applies brand A to an area of the yard that receives full sunlight and brand B to another area of the yard that is in partial sunlight. He waters the area with brand B daily; he waters the area with brand A every other day. At the end of the study, Jackson concludes brand A is more effective in growing strawberry bushes. Is Jackson's conclusion valid? Explain why or why not.

Answers

Answer:

It is not valid since there is more than one variable being changed at one.

Step-by-step explanation:

Jackson changed the brand of soil, but he also changes the amount of water, and the amount of sunlight the plants are receiving, so his conclusion that the soil was more effective is not valid.

Answer:

No, Jackson did not take into account alternate theories.

Jackson's findings could have been influenced by the watering schedule and the amount of sunlight. Without adjusting for these variables, the experiment is inconclusive.

Which statements accurately describe the function f(x) = 3 (squareroot 18) ^x ? Select three options. A. The domain is all real numbers. B. The range is y > 3. C. The initial value is 3. D. The initial value is 9. D. The simplified base is 3 square root 2​

Answers

Answer:

The domain is all real number

please hurry i want the answer of this question please

Answers

B

Please mark me as a brainlist

Answer:

900

Step-by-step explanation:

3²×5 = 45

3×2²×5² = 300

LCM = 900

Hope this helps... pls vote as brainliest

I need help again please!

Answers

Answer:

C = 28

Step-by-step explanation:

6/42 = 32-x/x

Answer:

C = 28

I hope this helped you

angad was thinking of a number. angad halves the number and gets an answer of 78.5. form an equation with x from the information​

Answers

Answer:

157

Step-by-step explanation:

Let the number Angad was thinking be 'x'

Equation:-

1/2(x) = 78.5

x = 78.5(2)

x = 157

ForEASY BRAINLIEST!!!

Answer:
A.
B.
C.

Answers

Answer:

A. x-3

B. x-14

C. x-10

Step-by-step explanation:

Answer: THXS FOR MAKIN THIS SO FRIKIN EASY. I think I may done b or c wrong-

Step-by-step explanation:

a) x - 3

b) x - 14

c) x − 10

Someone PLEASE HELP ME. The diagram above shows a plan for a park.
ABCD is a rectangle.
APB and DQC are semicircles centred at X and Y.
Given AB = 7 cm and AC = 25 cm.
Calculate the perimeter of the park in cm.

Answers

Answer:

84 m

Step-by-step explanation:

Perimeter of the park = perimeter of rectangle + perimeter of 2 semicircles

62

f(x) = 6r + 2
g(x) = - 5x - 9
Find the product of F and G.

Answers

(6r+2)(-5x-9)= -30rx-54r-10x-18

find the value of x in the given right triangle 90 20. please help!

Answers

Answer:

X = 3.6

Step-by-step explanation:

tan x = O/A

tan 20° = x/10

x = tan 20°(10)

x = 3.6

Answer:

x = 3.6 cm

Step-by-step explanation:

Using trigonometric ratios :

        [tex]sin \theta = \frac{ opposite} {hypotenuse} \\\\cos \theta = \frac{adjacent }{hypotenuse}\\\\tan \theta = \frac{opposite}{adjacent}\\\\[/tex]

[tex]where \ \theta = 20, \ opposite = x \ , hypotenuse = y \ , \ adjacent = 10cm[/tex]

[tex]we \ will \ take \ tan \ 20 , \ because\ we \ have \ to \ find \ opposite \ and \ adjacent \ is\ given.\\\\tan 20 = \frac{x}{10}\\\\x = 10 \times tan 20\\\\x = 10 \times 0.36397\\\\x = 3.6397\\\\x = 3.6 \ cm[/tex]

Other Questions
HELP ME!Line segment EQ consists of the points ____________. ??? Why did John brown attack the federal armory at harpers farmery 7- write the equation of the line that passes through points A(6,1) and B(9,4)I Allow the user to enter the names of several local businesses. Sort the business names and display the results. Continue this process until they are out of business names. Please use good functional decomposition to make your development easier. (Perhaps one for sorting a vector of strings, another for swapping two strings, one for As an example the program interaction might look something like (the parts in blue are typed by the user): $ /busisort.out Welcome to the Business Sorting Program!!! Please enter the name of a business: WalMart Your business is: WalMart Another business? y Please enter the name of a business: JC Penney Your businesses are: JC Penney WalMart Another business? Y Please enter the name of a business: Merlin Muffler Your businesses are: JC Penney Merlin Muffler WalMart Another business? yes Please enter the name of a business: Appleby's Your businesses are: Appleby's JC Penney Merlin Muffler WalMart Another business? Yes Please enter the name of a business: Zippy's Your businesses are: Appleby's JC Penney Merlin Muffler WalMart Zippy's Another business? Please solve 3^(x+3) + 3^(x+4)/3 = 162 Cul no es un tipo de instrumento con que se toca el Son Cubano?a las maracasla trompetab.el pianod la flauta How would the author of passage 2 most effectively respond to the ideas in the last sentence? pls answer the underline questions What is the vertex of the graph of the function below? y= x2 - 4x + 3 A. (2.-1) B. (1,-1) C. (1,0) D. (2,0) According to Gentile, an important goal for the learner during the first stage of learning is to acquire a movement pattern that will allow the person some degree of success at achieving the action goal of the skill.A. TrueB. False Question 54 of 98Which expression uses the associative property to make it easier to evaluate20(3-6)O A. 20(6)B. 20(-5)c. - 6)20D. (20 - )6SUBMIT Choose the correct option Write down the inequality shown in the diagram-4 < x What are two figure of speech of "he could touch the moon. He plucked a star to pin to his breast En cules de estos Cuerpos hay Clulas? Corcho, botella de plstico, pera, roca, sangre, vaso de agua. According to cell theory - (select all that are true)A. you are born with all the cells you will ever have.B. all organisms are made of at least one cell.C.cells are the building blocks of life.D.all cells come from preexisting cells The May transactions of Bramble Corp. were as follows:May 4 Paid $610 due for supplies previously purchased on account. 7 Performed advisory services on account for $6,840. 8 Purchased supplies for $870 on account. 9 Purchased equipment for $1,930 in cash. 17 Paid employees $700 in cash. 22 Received bill for equipment repairs of $800. 29 Paid $1,280 for 12 months of insurance policy. Coverage begins June 1.Required:Journalize the transactions. Read this excerpt from Extremely Loud and Incredibly Close.I stood on all of that and it worked for a second. But then I had the tips of my fingers on the vase, and the tragedies started to wobble, and the tuxedo was incredibly distracting, and the next thing was that everything was on the floor, including me, and including the vase, which had shattered. I didnt do it! I hollered, but they didnt even hear me, because they were playing music too loud and cracking up too much.How does the narration shape Oskars characterization in this excerpt?It shows his youth and inexperience.It suggests his flair for the dramatic.It indicates he is reckless and rowdy.It hints at his pent-up anger and hostility. If f (x) = 2 x + 5 and three-halves are inverse functions of each other and f (x) = 2x + 5, what is what was one major difference between hitler and Mussollini Medical categories and diagnoses give rise to numerous interventions. At times, these interventions are enforced. Detail an example of an enforced intervention and discuss how the certification of medical label legitimates this process.