4.5(8-x)+36=102-2.5(3x+24) show step by step how to solve please.

Answers

Answer 1

Distribute 4.5 to 8- x and distribute -2.5 to 3x-24 to get 36-4.5x+36+102-7.5x+60, then add like terms to get 3x=90

Answer 2

Simplifying 4.5(8 + -1x) + 36 = 102 + -2.5(3x + 24) (8 * 4.5 + -1x * 4.5) + 36 = 102 + -2.5(3x + 24) (36 + -4.5x) + 36 = 102 + -2.5(3x + 24) Reorder the terms: 36 + 36 + -4.5x = 102 + -2.5(3x + 24)

Combine like terms: 36 + 36 = 72 72 + -4.5x = 102 + -2.5(3x + 24)

Reorder the terms: 72 + -4.5x = 102 + -2.5(24 + 3x) 72 + -4.5x = 102 + (24 * -2.5 + 3x * -2.5) 72 + -4.5x = 102 + (-60 + -7.5x)

Combine like terms: 102 + -60 = 42 72 + -4.5x = 42 + -7.5x Solving 72 + -4.5x = 42 + -7.5x Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7.5x' to each side of the equation. 72 + -4.5x + 7.5x = 42 + -7.5x + 7.5x

Combine like terms: -4.5x + 7.5x = 3x 72 + 3x = 42 + -7.5x + 7.5x

Combine like terms: -7.5x + 7.5x = 0.0 72 + 3x = 42 + 0.0 72 + 3x = 42

Add '-72' to each side of the equation. 72 + -72 + 3x = 42 + -72

Combine like terms: 72 + -72 = 0 0 + 3x = 42 + -72 3x = 42 + -72

Combine like terms: 42 + -72 = -30 3x = -30

Divide each side by '3'. x = -10

Simplifying x = -10

Related Questions

The following table shows the number of hours some high school students in two states spend surfing the Internet each week:

State A
35
36
35
34
35
38
36
36
38

State B
24
22
20
50
25
24
65
25
26

Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (6 points)

Part B: Are the box plots symmetric? Justify your answer. (4 points)

Answers

1st data set:

Minimum: 34
1st quartile: 35
Median: 36
3rd quartile: 37
Maximum: 38

Second data set:
Minimum: 20
1st quartile: 23
Median: 25
3rd quartile: 38
Maximum: 65

Graph it based on the values of the 1st and 3rd quartile. If they are both the same number away from the mean then they are symmetrical. Otherwise they are not. In this case, the first one is similar and the second one is not.

Please mark as brainiest!
Cheers

slope is 0 and (0,5) is on the line
What is standard form please!

Answers

I think the answer would be 3

Mr. Collins’s bowling league has 48 members. If the league splits into teams of 12 members each, how many equally sized teams will there be?

Answers

There will be 4 equally sized teams. 4 groups of 12 is equal to 48, 48 divided by 12 is equal to 4.

There are 4 equally sized teams

the height of a tree was 8 feet. after a year, tree's height increased by 25%. use a bar diagram to find the new height of the tree?

Answers

8×.25=2
8-2=6
so what you would do is make a bar graph where the y axis would be years and the x axis being height

Please help, need asap

Answers

For the first option, since when x is going down (to the left) the function is going up, it's not approaching 0. For the second option, since when x is going up (to the right) it's going up, it's not approaching negative infinity (negative infinity is all the way down). For the third one, since when x is going down the y values are climbing, we can assume that the function's values go to positive infinity. For the last one, since when x=0 y=0, when x=0 the function does not go to infinity

Alex has 175 baseball cards.Rodney has 3 times as many baseball cards as Alex.How many fewer cards does Alex have than Rodney?

Answers

Alex = 175 baseball cards

Rodney = 175 * 3

Rodney = 525

Rodney - Alex = 525 - 175 = 350

Alex has 350 less cards than Rodney

The difference between Rodney's and Alex's baseball cards is 350.

Alex has 350 fewer baseball cards than Rodney.

What is subtraction?

Subtracting means to take away from a group or a number of things.

When we subtract, the number of things in the group reduces or becomes less.

We have,

The number of baseball cards Alex has:

= 175

The number of baseball cards Rodney has:

= 3 x 175

= 525

We need to find out how much Alex's cards are fewer than Rodney's cards so we find the difference between the number of cards between them.

The difference between Rodney's and Alex's baseball cards:

= 525 - 175

= 350

Thus Alex has 350 fewer baseball cards than Rodney.

Learn more about subtraction here:

https://brainly.com/question/8182809

#SPJ5

If Amanda walks at an average speed of 2.72 miles per hour, how long will it take her to walk 6.8 miles?

Answers

it is 2.5
hope this helped

Express as decimal numerals one and three hundred twenty four thousandths

Answers

The answer would be 1.324

One and three hundred twenty four thousandths expressed as a decimal numeral is [tex]1.324[/tex].

To express "one and three hundred twenty four thousandths" as a decimal numeral, follow these steps:

Understand the components:

• "One" represents the whole number part.

• "Three hundred twenty four thousandths" represents the fractional part.

Express the whole number part as a decimal:

• The whole number "one" is simply [tex]1[/tex].

Convert the fractional part to a decimal:

• "Three hundred twenty four thousandths" means 324 out of 1000, which can be written as the fraction [tex]\frac{324}{1000}[/tex].

• To convert [tex]\frac{324}{1000}[/tex] to a decimal, divide 324 by 1000. This gives us [tex]0.324[/tex].

Combine the whole number and the fractional part:

• Add the whole number part [tex]1[/tex] to the fractional part [tex]0.324[/tex]. This results in [tex]1 + 0.324 = 1.324[/tex].

The formula d = rt gives the distance traveled in time t at rate r. A delivery truck drives for 1.5 hours and travels 76 miles.
What was the average speed of the truck?
a.38 miles per hour
b.50.7 miles per hour
c.74.5 miles per hour
d.114 miles per hour

Answers

76=r(1.5)
76/1.5=r(1.5)/1.5
50.7=r

B. 50.7 miles per hour

d = rt
so now you plug in all the numbers with the given information you have
(76) = r(1.5)
start from the variable side
1.5r = 76
1.5r/1.5 = 76/1.5r
r = 50.7
so your answer will be
B.) 50.7 miles per hour

f(x)=2x+3 find x=9 explain how you got the answer please help me I need the answer today

Answers

You would fill in 9 for x so your equation would be 2(9)+3 and you would then get 21. Therefore the answer is f(x)=21

Equation of the tangent line

Answers

Find the eqn. of the tangent line to the curve of f(x) = x^2 + 5x -5 at (0,-5).

Differentiate f(x) to obtain an expression for the derivative (slope of the tangent line):

f '(x) = 2x + 5

Subst. 0 for x here: f '(0) = 2(0) + 5 = 5 (at the point (0, -5))

Use the point-slope equation of a str. line to find the eqn of the tan. line:

y-k = m(x-h), where (h,k) is a point on the line and m is the slope:

y - [-5] = 5(x-0), or y+5 = 5x. Then y = 5x - 5 is the eqn. of the TL to the given curve at (0,-5).

Describe how to transform the quantity of the fifth root of x to the seventh power, to the third powerinto an expression with a rational exponent. Make sure you respond with complete sentences.

Answers

Answer:

21/x5

Step-by-step explanation:

Need help asap! Need to find the value of x

Answers

X-45+x+x-45+x-45+x=540, x=135

uvghvghb mb bm nk bjnjbkjbkbk khbh khbhk h b jbn h jhb

And help on this one too.

THANKYOU!

Answers

For every ladybugs = +5 points
For every stinkbugs = -3 points

4 ladybugs and 8 stinkbugs in all

4(5) = 20
8(-3) = -24

20 - 24 = -4

The Players score is -4

hope this helps

I WILL GIVE BRAINLIEST to who answers this question right

Answers

The answer is:  "25 feet"
____________________________________________
Explanation:
___________________________________________

Perimeter = 2*(length) + 2*(width);

or; "P = 2L + 2w " ;.
____________________________________________
In this case:

"P = (2L + 2w) − 2 ⅚ " ; solve for "P" ; all units are in "feet (ft)" ;
____________________________________________________
From the diagram; we are given:
____________________________________________________
L = 12 ¼ ;

w = 10 ;
____________________________________________________

  →   " P = { [2* (12 ¼) ] + [2* 10] } − 2 ⅚ " ; Solve for "P" ;
__________________________________________________________
Note: Rewrite "12 ¼" ; AND: "2 ⅚" as "improper fractions" :
_________________________________________________________
→ " 12 ¼ = [ (4*12) + 1 ] / 4 = [tex] \frac{48+1}{4} [/tex] = [tex] \frac{49}{4}[/tex] " ;

→ " 2 ⅚ = [ (6*2) + 5 ] / 6 = [tex] \frac{12+5}{6} [/tex] = [tex] \frac{17}{6}[/tex] " ;
_________________________________________________________
Rewrite our equation:

→ " P = { [2* (12 ¼) ] + [2* 10] } − 2 ⅚ " ;;

substituting the "mixed numbers" with "improper fractions" ;
→ " P = { [2* ([tex] \frac{49}{4}[/tex]) + [2* 10] } − [tex] \frac{17}{6}[/tex] " ;
________________________________________________________
→ Note: " 2*[tex] \frac{49}{4}[/tex] ;

= [tex] \frac{2}{1} [/tex] *[tex] \frac{49}{4}[/tex] " ;

The "2" in the " [tex] \frac{2}{1} [/tex] "
cancels to "1" ; and the "4" in the " [tex] \frac{49}{4}[/tex] "
cancels to "2" ; {Since: "(4÷2=2)" ; and since: "(2÷2=1)" ;

→ and we have: " 2*[tex] \frac{49}{4}[/tex] = " [tex] \frac{49}{2} [/tex] " .
___________________________________________________
Note: {2*10] = 20 .
___________________________________________________
So; we can rewrite our equation as follows:
___________________________________________________
→ " P = [tex] \frac{49}{2}[/tex] + 20 − [tex] \frac{17}{6}[/tex] " ;
___________________________________________________
Now, multiply the entire equation (both sides) by "6" ;
to get rid of the fractions;
____________________________________________________
→ 6*{P = [tex] \frac{49}{2}[/tex] + 20 − [tex] \frac{17}{6}[/tex] } ;
____________________________________________________
to get:
____________________________________________________
  → 6P = ([tex] \frac{6}{2}[/tex] *49) + 20 − (6*[tex] \frac{17}{6}[/tex]) ;

→ 6P = (3 * 49) + 20 − ([tex] \frac{6}{6} [/tex] * 17) ;

→ 6P = ( 3 * 49) + 20 − (1 * 17) ;

→ 6P = ( 3 * 49) + 20 − (1 * 17) ;

→ 6P = (147) + 20 − 17 ;

→ 6P = 147 + 20 − 17 ;

→ 6P = (147 + 20) − 17 ;

→ 6P = 167 − 17 ;

→ 6P = 150 ;
__________________________
Now, divide EACH SIDE of the equation by "6" ; to isolate "P" on one side of the equation; and to solve for "P" (which is our answer, in units of "feet" (ft). ;
__________________________
→ 6P / 6 = 150 / 6 ;

to get: → P = 25 .
_____________________________________________
The answer is: "25 feet" .
_____________________________________________

Ms. Zab gave a group of five students a total of 18.75 liters of water for a science experiment. If each student in the group used the same amount of water for their experiment, how much water did each student use?

Answers

D. 3,750 mL
Because you have to convert liters to milliliters

For every 240 days of milking, cow's milk production decreases by 2.

Which shows the average change in cow's production?

A. -120 gallons per day
B. - (1/120) gallons per day
C. 1/20 gallons per day.
D. 120 gallons per day.

Answers

It's B. 1/120 gallons per day

The solution is Option B.

The slope / average change in cow's production is m = - 1/120 gallons per day

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of the equation A is

For every 240 days of milking, cow's milk production decreases by 2

So , the value of y = 2 gallons

The value of x = 240 days

Now , the slope of the equation is given as

Slope m = y/x

And , The slope of a line is a measure of its steepness, slope is calculated as "rise over run" or change in y divided by change in x

Substituting the values in the equation , we get

Slope m = 2/240

Slope m = 1/120

Since the cow's milk production decreases by 2 , the slope will be negative

So , slope m = -1/120 gallons / day

Hence , the average change in cow's production is -1/120 gallons / day

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

A soda shop owner told his employee to add 2 full cups and 1/5 of a cup of syrup to each gallon of soda. If there were 4 gallons of soda, how much syrup would be needed? Show your work.

Answers

To find the amount of syrup, multiply the amount of syrup per gallon by the number of gallons of soda. In this case, this would be 2 1/5 cups and 4 gallons.

2 1/5 x 4

(Changing the mixed number 2 1/5 to an improper fraction!)

11/5 x 4/1 = 44/5

(Change back to a mixed number after multiplying!)

8 4/5 cups of syrup

Hope this helps!! :)

2 and 1/5 cups for one gallon, so for four gallons, you did four times as much. 2•4=8, and 1/5•4=4/5, so you need 8 and 4/5 cups of syrup

What’s 28.2 rounded to the nearest tenth

Answers

It's already rounded to the nearest tenth

28.2 to the nearest tenth is 28.2

A school collected x food items and divided them equally among 6 charities. Each charity received 250 items. How many items did the school collect?

Answers

The school collected 1500 cans

1,500 you just have to multiply 250 times 6. since each charity received 250 items and there are 6 charities. Don't know if i explained it right but the answer is 1,500

Joe bought 5.8 pounds of grapes to have as a snack with his 10 friends.If he shares his grapes evenly,how many pounds of grapes will each of his friends get?

Answers

Divide 5.8 by 10. Answer is .58 pound

Answer: Each friend will get 0.527 pound of grapes.

Step-by-step explanation:

We are given that Joe bought 5.8 pounds of grapes to have as a snack with his 10 friends.

Total persons including Joe = 10+1= 11

If he shares his grapes evenly, then by division operation , we have

Number of pounds of grapes will each of his friends get will be

[tex]5.8\div11\approx0.527[/tex] pounds

Therefore, each friend will get 0.527 pounds of grapes.

If y= 3x - 5 find the value of y when x = -1

Answers

3 times -1 is -3. -3 - 5 is -8 so -8 is the answer.

y= 3(-1) -5
y= -3 -5
the answer is y= -8

a road sign casts a shadow 14 meters long while a nearby tree casts a shadow 27.8 meters long. if the road sign in 3.5 meters high how tall is the tree

Answers

The tree is about 6.95 meters tall.

The height of the tree is 6.95 m

What are similar triangles?

Two triangles are said to be similar triangles if their corresponding sides are in equal ratio and corresponding angles are congruent.

Given that, a road sign casts a shadow 14 meters long while a nearby tree casts a shadow 27.8 meters long and the road sign in 3.5 meters

Since, both the figures will be the similar triangles,

Then, by definition of similar triangles,

Therefore,

Let the height of the tree be x,

3.5 / 14 = x / 27.8

x = 6.95

Hence, the height of the tree is 6.95 m

Learn more about similar triangles, click;

https://brainly.com/question/14926756

#SPJ5

a bag contains 5 blue, 8 red, and 7 green marbles. a marble is selected at random. Write each answer as a fraction, percent, and a decimal

Answers

Answer:

Look at the explanation!

Step-by-step explanation:

Blue: 5/20 or 1/4, .25, 25%

Red: 8/20 or 2/5, .40, 40%

Green: 7/20, .35, 35%

2 please answer this question

Answers

B. End of the reconstruction.

End of Reconstruction, lot of it is him winning by one electoral vote.

Which fraction is bigger 5/6 or 8/9?

Answers

5/6 = 5 ÷ 6 = 0.8333

8/9 = 8 ÷ 9 = 0.8888

so 8/9 is bigger.

hope this helped, God bless!

8/9 would be bigger.

This would be because, the number on the right side of the dash, is how many times 1 is split up, and the number on the left is the amount of split up chunks you would take.

In this case, 5/6, you would have 1 split into 6 chunks, and taking 5 out of 6 of them. 8/9 would be 1 split into 9 chunks, and taking 8 out of 9 of them.

Since there are more parts in 8/9 and you're taking almost all of them, it would be bigger then 5/6.

So therefore 8/9 is bigger.

An ostrich egg has about the same volume as a sphere with a diameter of 5 inches. If the eggshell is 1/12 inch thick, find the volume of just the shell, NOT including the interior of the egg. Round to the nearest tenth

Answers

volume of the shell is 3.1 cubic inches

which coin has a diameter with a 5 in the hundredths place?

U.S Coins
________________________________
Penny | 0.750 |
________________________________|
Nickle | 0.835 |
________________________________|
Dime | |
________________________________|
Quater | 0.955 |
________________________________|
Half Dollar | 1.205 |
________________________________|

Answers

It would be both the penny and the quarter.

The hundredth place would be the third one from the left.

_._ _ _

So therefore the quarter and penny both have a five in that spot.

The sum of five consecutive numbers is -20. Which is the least of these five numbers?

Answers

Since the numbers are consecutive, they can be represented by:
x, x+1, x+2, x+3, x+4

Their sum is -20 = x+x+1+x+2+x+3+x+4. Result: -20=5x+10, or 5x=-30, or x = -6.

Then the numbers are -6, -5, -4, -3 and -2. These do add up to -20, as required.

The smallest of these is -6.

Consecutive numbers means 1,2,3 or 102,103,104 etc.

2,3,4,5,6 add to 20
So -2, -3, -4, -5, -6 add to -20

-6 is the least of the 5 consecutive numbers which sum to-20

A number is subtracted from 7, then multiplied by 3. The answer is half the original number. What is the number?

2
2.8
6
6.83
8.4

Answers

The answer is 2 because 2(3)= 6, and 7-6= 1. And 1 is half of the original, which is 2!

Other Questions

"complete cada una de las leyendas con los pronombres de complementos directo e indirecto correctos. luego coloque la leyenda con la imagen correspondiente." The answer to that question on newsela The Articles of Confederation werea constitution revising Britains Parliament.a set of rules for governing the colonies.a constitution that established the first US government.a set of rules for governing the Northwest Territory. According to the online content article, what is the main difference between a culture and a civilization? A. There is no difference between the two terms. B. Civilization refers to a groups way of life, while culture only looks at particular elements. C. Culture refers to a groups way of life, while civilization refers to an advanced or complex group that coexists near other cultural groups. D. Culture refers to the different elements that make a cultural group unique, while civilization refers to the similarities found amongst all the groups when compared to each other. A teenager learning about computers and programming for the first time writes a simple program meant to disrupt the function of his sister's computer. while she's hanging out with friends at the mall, he enters his sister's ip address, launches the program, and waits to see what will happen. the teenager is an example of a The "war of the caudillos" in venezuela was fought between political factions who disagreed about how much authority what group should have? Emily sprains her ankle on her way home from school. Her mom suggests she use an instant cold pack to reduce the swelling. When Emilys mom hands her the cold pack, it is room temperature. The instructions on the pack tell Emily to pop a button inside the ice pack to open a packet of chemicals. Once Emily has popped the button, she notices that the cold pack immediately gets cold. She places it on her swollen ankle. Write a thoughtful and complete response (3+ sentences) that describes what happened to the energy as it is first in the cold pack (before Emily pops the button), then when she pushes the button, and then after Emily has placed the cold pack on her ankle. Discuss transfers and transformations of the energy. Which ruler restored Pope Leo III to the papal seat after the Romans drove him out? Clovis I Charles Martel Charlemagne Otto I What beliefs do you think may have motivated Las Casas to take the stand that he does? Which of the following is the correct formula for barium (II) sulfate? Process by which two simple molecules are joined by the removal of one water molecule Why is it more important to monitor your word choice in a professional environment There are two sizes of trucks available: larger truck with a 2.5-ton payload, and smaller trucks with 1.5-ton payload. To unload a freight train 21 larger trucks are needed . How many smaller trucks would be needed for the same job? Which symbol creates a true sentence when x equals 3?83-4x_7(10-x)A. A $360,000 building is depreciated by its owner. the value y of the building after x months is: y = 360,000 1,500 x. how many months will it take until it is completely depreciated I have a spanish 2 question its que fue lo que hizo esta persona el Otro dia Please, don't be lanie carmichael. a tall blonde in a miniskirt bumped her and headed his way. thank god brad is a true friend, kyle thought. 45+5/6x=50 need to find x and math for x Should schools ban chocolate and junk food from schools, so as to ensure that young children are more likely to have a healthy diet? If acetic acid is the only acid that vinegar contains (ka=1.8105), calculate the concentration of acetic acid in the vinegar. express your answer using two significant figures. Steam Workshop Downloader