John multiplies one side of the equation 20 + 48 = 68 by a number s. What does he need to do balance the equation?

Answers

Answer 1
hello!

In order to balance the equation, John should multiply the second side of the equation by s.

Why?

Remember the Golden Rule of Algebra:-

[tex]\bigstar{\boxed{\sf{Whatever~you~do~to~one~side,~you~do~to~the~other.}}[/tex]

So if you multiply 1 side of the equation by s, you multiply the second side by s.

Please tell John about the Golden Rule of Algebra ;)

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)


Related Questions

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle. The length of K M is 6 and the length of M J is 3.
What is the length of line segment LJ?

9 units
12 units
15 units
18 units

Answers

Answer:

I think 9 units is the correct answer

Answer:

its 15 units

Step-by-step explanation:

momma told me it was right

third time posting this question pls help. it's 7 grade maths.pls help i need it​ I give brainlist

Answers

Answer:

Step-by-step explanation:

7) m + 6 > 17

   m > 17- 6

8. 500 + p > 1500

9. Let cost of pencil be 'x' and it is 5 less than y

x < y -5

Cost of pencil and ruler is less than $ 30.

x + y < 30

10. r + 5 > 17

         r > 17 - 5

         r > 12

12.She is spending $ x. So, we have to subtract from $10.

10 -x < 5

When 58,511 is divided by 21, the quotient is 2,786 R ___.

Numerical Answers Expected!

Answer for Blank

Answers

If you take the answer, 2786 and multiple by 21

You get 58,506

Which if you subtract from 58,511 you would get 5

Which is r

There are caterpillars in two greenhouses. Greenhouse A has 4 times the number of caterpillars Greenhouse B has. A bird came into the two greenhouses and devoured many caterpillars. After the bird ate 41 caterpillars in Greenhouse A and 5 caterpillars in Greenhouse B, both greenhouses have the same number of caterpillars. How many caterpillars did Greenhouse A have in the first place?

Answers

there will be your 1000 caterpillars

Answer:

12

Step-by-step explanation:

4a = b and A-41=b-5

a-41+5=b

a-36 =b

which means a+36 =4a

so 3a=36 and a=12

The following list gives the number of pets for each of 14 students.
2
,
0
,
2
,
4
,
4
,
4
,
3
,
2
,
3
,
4
,
1
,
3
,
3
,
2
Find the modes of this data set.
If there is more than one mode, write them separated by commas.
If there is no mode, click on "No mode."

Answers

2,3,4 are the mode of this set of data

Answer:

2,3,4

Step-by-step explanation:

Given data:

2,0,2,4,4,4,3,2,3,4,1,3,3,2

Solution:

Mode = Most often number

There are

4 = two's

1 = zero's

4 = four's

4 = Three's

1 = ones's

Hence the mode is:

2,3,4

~lenvy~

The cost of 3 scarves is $71.25. What is the unit price?
The unit price is $
per scarf.

Answers

Answer:

unit price= $23.75

Step-by-step explanation:

$71.25/ 3

unit price means the price of 1

Examine the diagram.
What is the m<1?
O 21°
O 42°
O 71°
O 82 °

Answers

Answer:

O 21 your ita not correct

Three times a number x is more than 18.

Answers

Answer:

3x>18

Step-by-step explanation:

Three times the number x will be called 3x. If an expression is more or greater than a number, we use the greater symbol: >

So, we can write,

3x>18

Bob swam a total of 250 meters on Monday and Tuesday. On Tuesday, the numbers of meters he swam was 30 less than 3 times the amount he swam on Monday. How many meters did Bob swim on Monday?

Answers

Answer:

Bob swam 70 meters on Monday

Step-by-step explanation:

Let x = Meters swam on Monday

and y = Meters swam on Tuesday

x + y = 250

y = 250 - x

y = 3x - 30

250 - x = 3x - 30

4x = 280

x = 70

y = 180


Create the equation of a circle that has a center at (1,3) and a radius of 4 units.

Answers

The equation of the circle centered at (1, 3) with a radius of 4 units is:

(x - 1)^2 + (y - 3)^2 = 16

How to write the equation of a circle?

For a circle with the center on the point (a, b) and radius R, the equation is:

(x- a)^2 + (y - b)^2 = R^2

In this case, the center is (1, 3) and the radius is R = 4, so the equation will be, so we just replace these in the general equation that we have above.

(x - 1)^2 + (y - 3)^2 = 4^2

(x - 1)^2 + (y - 3)^2 = 16

If you want to learn more about circles, you can read:

https://brainly.com/question/14283575

Use interval notation to express the following: The set of all numbers less than or equal to −5.

Answers

Answer:

(- infinitysymbol,-5]

see image.

Step-by-step explanation:

Interval notation uses parenthesis or square brackets in the format:

( or [ begin , end )or]

Always use parenthesis around the infinity or negative infinity symbol. Square brackets are for when the number is included. Like in this case where it says "or equal to -5"

see image.

which is a better value? 1 pound of apples for 2.15 or 3 pounds of apples for 5.76

Answers

Answer:

From what i've gotten on another answer on brainl It might be 3 pounds of apples for 5.76. On another question i've resarched i've also gotten $7.91.

Step-by-step explanation:

Sorry if none of these answers have helped you.

Answer:

The 2nd offer - 3 pounds of apples for 5.76

Step-by-step explanation:

1. Find the unit price for the 1st offer.

The unit price is 1 pound of apples for $2.15.  <-- given information

2. Find the unit price for the 2nd offer.

We can set up a proportion to find the unit price.

3 pounds / $5.76 = 1 pound / $x

Let x = how much 1 pound of apples are for the 2nd offer

Cross multiply

3 · x = 5.76 · 1

Simplify

3x = 5.76

Divide both sides by 3 to isolate x

x = 1.92 = $1.92 for a pound of apples (2nd offer)

3. Compare the two offers' unit prices.

$2.15   <-- 1st offer

$1.92   <-- 2nd offer

The second offer is the better value because it costs less for each pound of apple.

I hope this helps and please mark me as brainliest!

please help as soon as possible

Answers

Answer:

D, E

Step-by-step explanation:

In the table, r = 3p, and by converse, p = 1/3r. These options are D and E

Answer:

This is not college level stuff.

But the answer is D. r = 3p and E. p =r/3

Step-by-step explanation:

As you can see in the graph, all the r values are 3 times the p values, 9 = 3 x 3, 21 = 3 x 7, 24 = 3 x 8 and  so on. So, the equation is r = 3p. The same is also vice versa, r/3 = p.

What is the value of the expression 25 ÷ 5 + (6 x 2) − 4?

7

9

12

13

Answers

Answer: 13

Step-by-step explanation:

Answer:

Hey Dude....

Step-by-step explanation:

This is ur answer.....

25 ÷ 5 + (6 x 2) − 4= 5 + 12 - 4= 5 + 8 = 13

Hope it helps!

Brainliest pls!

Follow me! :)

Write an equation for the graph below in terms of x
Y=

Answers

Y= -3/2x - 1
Because the slope is rise 3 run 2 and the y-intercept is -1


The perimeter of the surface
of a workbook is 36 inches. The
area is 80 square inches. What
are the dimensions of the
workbook?

Answers

Answer:

10 inches by 8 inches


The length and with would be half the perimeter: 36/2 = 18


find 2 numbers when added together equal 18 and when multiplied together equal 80.

8 + 10 = 18

8 x 10 = 80

10 inches by 8 inches

?? im so confused please help

Answers

Answer:

y = 5.5 ·x

Step-by-step explanation:

x= pounds purchased

y = cost in $

Given:

4 pounds for $22

x pounds for $ y

Find unit price so will know how much will pay for 1 pound

22/4 = 11/2 = $ 5.5 for 1 pound

Make a general formula :

y = 5.5 ·x

Work out the highest common factor (HCF) of 18 and 30

Answers

[tex]18 = 2\times 3 \times 3\\\\30 = 2 \times 3 \times 5\\\\\text{HCF}~ = 2\times 3 = 6[/tex]

What is the quotient if 2/4 of 40 is divided by 4/5 of 5/7?

Answers

Answer:

2/4 * 40 4/5 * 5/7 = 102/

7

= 14 4/

7

≅ 14.5714286

Step-by-step explanation:

To find a new numerator:

a) Multiply the whole number 40 by the denominator 5. Whole number 40 equally 40 * 5/

5

= 200/

5

b) Add the answer from previous step 200 to the numerator 4. New numerator is 200 + 4 = 204

c) Write a previous answer (new numerator 204) over the denominator 5.

Forty and four fifths is two hundred four fifths

Multiple: 2/

4

* 204/

5

= 2 · 204/

4 · 5

= 408/

20

= 102 · 4/

5 · 4

= 102/

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(408, 20) = 4. In the following intermediate step, cancel by a common factor of 4 gives 102/

5

.

In other words - two quarters multiplied by two hundred four fifths = one hundred two fifths.

Multiple: the result of step No. 2 * 5/

7

= 102/

5

* 5/

7

= 102 · 5/

5 · 7

= 510/

35

= 102 · 5/

7 · 5

= 102/

7

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(510, 35) = 5. In the following intermediate step, cancel by a common factor of 5 gives 102/

7

.

In other words - one hundred two fifths multiplied by five sevenths = one hundred two sevenths.

i need help pleasse ​

Answers

X= 30

I don’t know if this is correct or not

pls i need help asap

what's the area of this figure?

Answers

Answer:

35

area of traingle b xh/2 5x4/2 - 10

area of square lxl - 5x5 -25

add- 35

Answer:

The answer would be 35.

Step-by-step explanation:

The area of the shape would be 35 square centimeters because if we divide the shape into 3 different shapes, a square on the bottom and 2 triangles at the top, we can multiply the square's length and width to get an area of 25. Next, we'll multiply the 2 triangles length of 4 with the width of 5 to get a total area of 20 from both of them, we'll then divide the area of 20 by 2 to get 10. Now add 20 and 10 to get 35.

Let w = width and 4 + w = length. Which equation represents the situation?

Answers

Answer:

Depends on whether you're looking for area or perimeter. Follow the equations below

Step-by-step explanation:

This depends on whether you're being asked to find perimeter of area

Perimeter is equal to 2(length) + 2(width)

In which case perimeter would be 2(4 + w) + 2(w)

Which can be simplified to 8 + 2w + 2w = 4w + 8

However, Area is equal to length times width

Which would be (4 + w) * w = 4w + w^2

Answer:

Step-by-step explanation:

✔ w(4 +w) = 60

4x + y = 4
2x + 6y = 24

Which action creates an equivalent system that will eliminate one variable when they are combined?

Answers

Answer:

(There's actually a few ways of solving this, but here's one)

Multiplying the second equation by 2.

EDIT: Because the question says it will eliminate a variable "when combined", implying adding the systems together. The actual correct answer is multiplying the second equation by -2.

(multiplying the second equation by -2 is the actual answer, my apologies)

Step-by-step explanation:

So it's clear that they are referring to the elimination method and not the substitution method for solving systems of equations.

In the elimination method, you subtract 2 equations in the hopes of the elimination of a variable.

If you multiply the second equation, 2x + 6y = 24, by 2, you get, 4x + 12y = 48.

This is helpful because when you subtract this from the first one, you eliminate x.

4x + y = 4

-(4x + 12y = 48)

is

-11y = -44

Find the value of x.

Answers

Answer:x.

Step-by-step explanation:

Trey will attend a -year college, and he is planning his budget.
Answer the following.
(a) Below is an estimate of all his expenses and sources of funding for his -year college education.
For each, select whether it is an expense or a source of funding.

Expense Funding
Scholarships:


Grants:


Housing and food:


Work-study (part-time job):


Personal expenses:


Transportation:


Tuition and fees:


Books and supplies:


(b) What is the total of his estimated expenses?
(c) What is the total of his estimated funding?
(d) Can Trey expect to have enough money for his education? How much is the difference?

Answers

The examples of funding include scholarship, grants, part time job, etc.

What is funding?

Your information is incomplete as the values aren't given. Therefore, an overview will be given.

The funding are needed to cater for school fees and other necessary fees. They include scholarship, grants, and part time job.

The expenses are books, transportation, housing, books, and food.

Learn more about funding on:

https://brainly.com/question/25887038


Find the values of x, y, and z.
Please help!!

Answers

Answer:

x=20

y and z=160

Step-by-step explanation:

the arc of the circle is congruent to the central angle therfore x is also 20

next for y and z we can tell they are congruent now to find the measure. we can tell A is 180 so we do 360-180-20=160

Write an algebraic expression for the following: 17 more than a number.

Answers

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

Let the number be x

Then,the algebraic expression formed is

[tex] \large \purple{ \boxed { \rm{x + 17}}}[/tex]

It states that you need to write it as 17 more than x This means 17 added on to x .

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer:

x+17

Explanation:

Adding more characters. 'A number is x variable, add 17.. x+17

I need help...you will be mark brainliest if it's right ty ​

Answers

Answer:

Median: 5

Interquartile range: 4

Have an amazing day!

Please rate and mark brainliest!!

I need help with Biased vs Unbiased

Answers

Answer:

13 a) 12% prefer pumpkin pie

   b) 6.4% prefer pumpkin pie

   c) 80% did NOT prefer raspberry pie

   d) 235 people would be expected to say that their favorite pie is apple

       or blueberry.

14 a) 20% prefer Marlin

   b) 12% prefer Dolphins

   c) 48.33% prefer seahawks or sharks as their mascot.

   d) 116 students would be expected to say that their favorite mascot is a

       Penguin.

15 a) 20% prefer Science fiction

   b) 46 people would be expected to report mystery as their favorite

       genre.

   c) 810 people would be expected to report drama, history, or romance

       as their favorite genre.

Step-by-step explanation:

13.  *There are a total of 125 participants or customers.*

35 people prefer apple pie15 people prefer pumpkin pie.8 people prefer pecan pie.28 people prefer cherry pie.25 people prefer raspberry pie.14 people prefer blueberry pie.

a) 15/125 = 0.12 = 12%

   12% prefer pumpkin pie

b) 8/125 = 0.064 = 6.4%

   6.4% prefer pumpkin pie

c) Since 25 people preferred raspberry pie. 125-25= 100 people did NOT prefer raspberry pie.

    100/125 = 0.8 = 80%

    80% did NOT prefer raspberry pie

d) Out of 600 people, how many would you expect to say their favorite pie is apple or blueberry?

   Apple: 35/125 = 0.28 = 28%

   Blueberry: 14/125 = 0.112 = 11.2%

 

If there were 600 people:

    Apple: 600*0.28 = 168

    Blueberry: 600 * 0.112 = 67.2 (there can't be a 0.2 of a    

                                                        person, so it's rounded to 67)

168 + 67 = 235

235 people would be expected to say that their favorite pie is apple or blueberry.

14. *There are a total of 60 students.*

5 people prefer Penguins.12 people prefer Marlins.9 people prefer Seahawks.14 people prefer Dolphins.20 people prefer Sharks.

a) 12/60 = 0.2 = 20%

   20% prefer Marlin

b) 14/60 = 0.12 = 12%

   12% prefer Dolphins

c) Seahawks: 9/60 = 0.15 = 15%

  Sharks: 20/60 = 0.33 = 33.33%%

   15% + 33.33% = 48.33% prefer seahawks or sharks as their mascot.

d) If there are 1,400 students in the school, how many would you expect to choose the Penguins as their favorite mascots.

   Penguins: 5/60 = 0.083 = 8.33%

 

If there were 1,400 students:

    Penguins: 1,400*0.083 = 116.2 (there can't be a 0.2 of a    

                                                        person, so it's rounded to 116)

116 students would be expected to say that their favorite mascot is a Penguin.

15. *There are a total of 75 people.*

8 people prefer Action.4 people prefer Comedy.16 people prefer Drama.7 people prefer Mystery.10 people prefer Romance6 people prefer Science fiction3 people prefer Biography12 people prefer History9 people prefer Other

a) 6/75 = 0.2 = 20%

   20% prefer Science fiction

b) Out of 500 people, how many would you expect to report mystery as their favorite genre?

   Mystery: 7/75 = 0.093 = 9.3%

 

If there were 500 people:

    Mystery: 500*0.093 = 46.5 (there can't be a 0.5 of a    

                                                        person, so it's rounded to 46)

46 people would be expected to report mystery as their favorite genre.

c) If there are 1,600 people, how many would you expect to report drama, history, or romance as their favorite genre?

   Drama: 16/75 = 0.2133= 21.33%

   History: 12/75 = 0.16 = 16%

   Romance: 10/75 = 0.1333 = 13.33%

 

If there were 1,600 students:

    Penguins: 1,400*0.083 = 116.2 (there can't be a 0.2 percent of a    

                                                        person, so it's rounded to 116)

   Drama: 1,600*0.2133 = 341.28 (there can't be a 0.28 of a    

                                                        person, so it's rounded to 341)

   History: 1,600*0.16 = 256

   Romance: 1,600*0.1333 = 213.28(there can't be a 0.28 percent of a    

                                                        person, so it's rounded to 213)

341 + 256 + 213 = 810

810 people would be expected to report drama, history, or romance as their favorite genre.

Hope this helps!

what value makes 3k– 6 < 12 true?

Answers

Answer: Any number smaller than 6

3k - 6 < 12

(Add six to both sides)

= 3k < 18

(Divide by 3 on both sides)

= k < 6

Also a side note that may be helpful in other similar problems: If you are dividing or multiplying by a negative number you have to flip the inequality sign.

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