( variable son both sides of an equation)
SHOW ALL WORK AND MAKE SURE IT MAKES SENSE
I WILL GIVE BRAINLIEST WITH BEST ANSWER THAT INCLUDES ALL OF THE ABOVE

Solve: 7b-20=3b+12

Answers

Answer 1

b=8 i hope this helps!!

Answer 2

Start by adding 20 to both sides to isolate '7b'. This gives you 7b = 3b + 32.

Next, Subtract 3b from both sides in order to make it so that the variable, which is 'b' in this case, is on one side of the equation.

This gives you 4b = 32.

Now divide both sides by 4 to cancel out 4b (opposite of multiplication is division).

This brings you to the answer b = 8 (32 divided by 4 is 8).

Hope this helps.

Related Questions

Experts/ace where do i out the dots?

Answers

divide total paid by number of pencils for price of 1 pencil

4.50 / 18 = 0.25 for 1

so you would put a dot at (1, 0.25) (2,0.5) (3,0.75) etc and draw a line through the dots

see attached picture:

Phoebe, Andy and Polly share £270.
Phoebe gets 3 times the amount as Andy who gets twice as much as Polly.
Work out how much they get each

Answers

*Given
Money of Phoebe - 3 times as much as Andy
Money of Andy    - 2 times as much as Polly
Total money of Phoebe, - £270
Andy and Polly

*Solution

Let
B - Phoebe's money
A - Andy's money
L - Polly's money

1. The money of the Phoebe, Andy, and Polly, when added together would total £270. Thus,

B + A + L = £270 (EQUATION 1)

2. Phoebe has three times as much money as Andy and this is expressed as

B = 3A

3. Andy has twice as much money as Polly and this is expressed as

A = 2L      (EQUATION 2)

4. This means that Phoebe has ____ as much money as Polly,

B = 3A
B = 3 x (2L)
B = 6L (EQUATION 3)

This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.

5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes,

6L + 2L + L = £270
9L = £270
L = £30

So, Polly has £30.

6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.

A = 2L
A = 2(£30)
A = £60

Andy has £60

B = 6L
B = 6(£30)
B = £180

Phoebe has £180

Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.

Phoebe got £180, Andy got £60 and Polly got £30

The amount shared is given as:

Amount = £270

Represent Phoebe's share with x, Andy's with y and Polly's with z.

From the question, we have:

x = 3y

y = 2z

So, we have:

x : y : z = 3y : 2z : z

This gives

x : y : z = 6z : 2z : z

When £270 is shared in the above ratio, we have:

x : y : z = 180 : 60 : 30

Hence, Phoebe got £180, Andy got £60 and Polly got £30

Answers

Your closest awnser would be C

The value of solution of quadratic equation 5x² + 10x - 5 = 0 is,

⇒ x = - 1 ± √2

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

Equation is,

5x² + 10x - 5 = 0

Now, We can solve by using quadratic formula as;

⇒ x = - 10 ± √10² - 4×5×- 5 / (2×5)

⇒ x = - 10 ± √100 + 100 / 10

⇒ x = - 10 ± √200 / 10

⇒ x = - 1 ± √2

Thus, The value of solution of quadratic equation 5x² + 10x - 5 = 0 is,

⇒ x = - 1 ± √2

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Isaac and his sister plan to surprise their parents by buying them each a pair of shoes. They agree that Isaac will pay 68% of the price since he receives a greater allowance. Use an estimation strategy to determine how much Isaac will pay if the total bill is $97.65. Show the step-by-step process you used to solve the problem.

Answers

for estimating round both the price of shoes and the percentage to round numbers

97.65 is close to 100, so use 100 for the price of shoes

68% is close to 70 so use 70%

then multiply 100 by 70 %,

100 *70% = 70 dollars

so Isaac would pay around 70 dollars

Step-by-step explanation:

first you need to see how much his sister is paying and she is paying 32% and that is 31.24 then you need to subtract 97.65 by 31.24 which will equal 66.41 so Isaac will pay $66.41 hope this helps if your going to use it change the wording up a bit

Provide conditions under which the mean function is linear but has a negative coefficient

Answers

Depending on your dependent/outcome variable, a negative value for your constant/intercept should not be a cause for concern. This simply means that the expected value on your dependent variable will be less than 0 when all independent/predictor variables are set to 0. For some dependent variables, this would be expected. For example, if the mean value of your dependent variable is negative, it would be no surprise whatsoever that the constant is negative; in fact, if you got a positive value for the constant in this situation, it might be cause for concern (depending on your independent variables).Even if your dependent variable is typically/always positive (i.e., has a positive mean value), it wouldn't necessarily be surprising to have a negative constant. For example, consider an independent variable that has a strongly positive relationship to a dependent variable. The values of the dependent variable are positive and have a range from 1-5, and the values of the independent variable are positive and have a range from 100-110. In this case, it would not be surprising if the regression line crossed the x-axis somewhere between x=0 and x=100 (i.e., from the first quadrant to the fourth quadrant), which would result in a negative value for the constant.The bottom line is that you need to have a good sense of your model and the variables within it, and a negative value on the constant should not generally be a cause for concern. Typically, it is the overall relationships between the variables that will be of the most importance in a linear regression model, not the value of the constant.

A total of 210 people attended the opening night of a school musical. Student tickets cost $3.00 each while general admission tickets cost $7.50 each. If total sales were $1296, how many general admission tickets were sold?

Answers

It would be 148 general admissions tickets. If you want the work you can comment.

Not really sure how to do this one (ignore writing above)

Answers

[tex]\bf \left( x^{4a-3} \right)^2=x^{10}\implies x^{(4a-3)2}=x^{10} \\\\\\ \textit{since the bases are the same, the exponents must also be the same} \\\\\\ 2(4a-3)=10\implies 4a-3=\cfrac{10}{2}\implies 4a-3=5\implies 4a=8 \\\\\\ a=\cfrac{8}{4}\implies \boxed{a=2}[/tex]

Multiply. (6x−7)(5x+8)

Answers

(6x-7)(5x+8)

Using the distributive property:

= 6x(5x+8) -7(5x+8)
= 30x^2 +48x -35x -56
= 30x^2+13x-56

The multiplication of the polynomial (6x − 7) and (5x + 8) will be 30x² + 13x − 56.

What is a polynomial?

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The polynomial is given below.

(6x − 7) and (5x + 8)

Multiply the polynomials, then we have

⇒ (6x − 7) · (5x + 8)

⇒ 6x · (5x + 8) − 7 · (5x + 8)

⇒ 30x² + 48x − 35x − 56

⇒ 30x² + 13x − 56

The multiplication of the polynomial (6x − 7) and (5x + 8) will be 30x² + 13x − 56.

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3x + 2y + z = 8 2x - 3y + 2z = -16 x + 4y - z = 20

Answers

I'll do a similar problem, and I challenge you to do this on your own using similar methods!

x+5y+2z=23
8x+4y+3z=12
9x-3y-7z=-10

Multiplying the first equation by -8 and adding it to the second one (to get rid of the x) and also multiplying the first equation by -9 and adding the third one to get rid of the x there too, we end up with

-36y-13z=-92
and
-48y-25z=-217

Multiplying both equations by -1, we get
36y+13z=-92
48y+25z=217

Multiplying the (new) first equation by -4/3 and adding it to the second (to get rid of the y), we get
(7+2/3)z=94+1/3

Dividing both sides by (7+2/3) to separate the z, we get
z=[tex] \frac{282/3}{23/3} = \frac{282}{23} [/tex]

Plugging that into
48y+25z=217, we can subtract 25z from both sides and divide by 48 to get
[tex]y= \frac{217-25z}{48} =\frac{217-25*282/23}{48}[/tex]

Lastly, we plug this into x+5y+2z=23 to get
x=23-5y-2z by subtracting 5y+2z from both sides to get
[tex]x=23- \frac{217-25*282/23}{48}*5-2*282/23[/tex]

Good luck, and feel free to ask with any questions!

round 0.947 to the nearest 10

Answers

Its 0.9 rounded to the nearest tenth :)
Hope that helps

The answer is 0.9! Good luck :)

Solve 7x - 2(x + 1) = 6x + 14

A) -12

B) 12

C) -16

D) 16

Answers

7x - 2(x + 1) = 6x + 14
7x - 2x - 2 = 6x + 14
5x - 2 = 6x + 14
6x - 5x = -2 - 14
x = -16

answer
C) -16

which graph shows the inequality n>2

Answers

C. the third graph.
hope this helps!

Solve the inequality 2x + 8 < 5x - 4

A) X > 4

B) X > 1

C) X < 1

D) X < 4

Answers

The answer is A) X > 4

2x + 8 < 5x - 4
2x + - 5x < -8 - 4
-3x < -12
x > 4

answer
A) X > 4

Your height can be represented by a function h , where the input is your age.
What Does h(14) represent?

Answers

h(14) represents a function of a person's height at age 14. 14 is the input, indicating age, and the function of h(14) will give you that person's height.

To write 10-7 in standard form, you would write a decimal number with:
1s in the first 7 decimal places.
1s in the first 6 decimal places and 0 in the 7th decimal place.
0s in the first 6 decimal places and 1 in the 7th decimal place.
0s in the first 7 decimal places and 1 in the 8th decimal place.

Answers

10^-7 = 0.0000001

Its the 3rd choice.

Answer:

mine is 6.7

Step-by-step explanation:

Find three consecutive integers whose sum is -21. 2. find three consecutive odd integers whose sum is 144. 3. the sum of three consecutive even integers is 48. what are the numbers?

Answers

Easy way
-21÷3=-7 which is the exact center so
-6, -7, -8

Equation
x + (x+1) + (x+2) = -21
3x + 3 = -21
3x=-24
x=-8
x+1=-7
x+2=-6

2. Consecutive Odd Integers
X, X+2, X+4

X + (X+2) + (X+4) = 144
3X+6=144
3X=144-6=138
X = 138/3 = 46 .....There are no 3 odd Integers that can equal an even integer

3. 3 consecutive even number x, x+2, x+4

X + (X+2) + (X+4) = 48
3X+6=48
3X=48-6=42
X=42/3=14
14, 16, 18

Final answer:

Explanation of determining between which two consecutive integers a square root lies.To find out between which two consecutive integers numbers like √18, √29, √5, and √79 lie, we use the squares of integers to estimate their positions without a calculator, illustrating these numbers lie between integers whose squares are immediately below and above the given number.

Explanation:

To determine between which two consecutive integers a given square root lies without a calculator:

For<6: √18 is between 4 and 5 because 4< √18<5.

For<5: √29 is between 5 and 6 because 5< √29<6.

For=5: √5 is between 2 and 3 because 2< √5<3.

For>7: √79 is between 8 and 9 because 8< √79<9.

Simplify the expression where possible.

(-5x^2)^3

Answers

(-5x^2)^3=
-5x^2*3=
-5x^6

(-5x^2)^3

-125x^6. When multiplying exponents you add them and 5^3 =125. since 3 is odd, then you keep the negative sign

How to find the y-intercept from two points?

Answers

where they intercept on the y axis fam

Final answer:

To find the y-intercept from two points, first calculate the slope using the formula m = (Y₂ - Y₁) / (X₂ - X₁). Then, substitute the slope and one coordinate into the equation y = mx + b and solve for b, which is the y-intercept. The y-intercept reveals the value of y when x = 0.

Explanation:

The subject at hand pertains to the field of Mathematics, specifically, how to determine the y-intercept from two points on a line. The objective is to find the point at which the line intercepts the y-axis, denoted generally in equations as b in the form of y = mx + b, where m signifies the slope.

Here's a step-by-step process to find the y-intercept:

First, calculate the slope (m) from your two points using the formula: m = (Y₂ - Y₁) / (X₂ - X₁). Y₂ and Y₁ represent the y-values from your two points, and X₂ and X₁ represent their respective x-values.Substitute the slope (m) and one of your points into the equation y = mx + b. Solve for b which is your y-intercept.

The y-intercept represents the value of y when x = 0. In context, it shows where the line crosses the y-axis.

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Urgent please!!!!!!!!!!!!!!!!!!!!!

Which of the following best defines ? Square root of 16 Cube root of 4 Square root of 4 Cube root of 16

Square root of 16
Cube root of 4
Square root of 4
Cube root of 16

Answers

The answer is: " 16 * ∛12 " ; or, write as: " 35.631 " .
_____________________________________________________
Explanation:
______________________________________________

" Square root of 16 Cube root of 4 Square root of 4 Cube root of 16" =

√16 * ∛6 *√4 *∛16 =

√16 * √4 * ∛6 * ∛16 =

4 * 2 * ∛6 * ∛16 =

8 * (∛6 * ∛16) =

8 * (∛(6 * 16) =

8 * (∛96) = ?
_________________________
What are the factors of "96" ? And do any of them have "perfect cube"? (since "96" does not) ??
_________________________
96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.___________________________________
Not: "8" is a perfect cube: ∛8 = 2 ;

and: "8 * 12 = 96" ;
_________________________________
So; ∛(96) = ∛8 * ∛(12) = 2* ∛(12) .
__________________________________
and:
___________________________________
8 * (∛96) = 8 * 2 * ∛(12) ;
___________________________________
= 16 * ∛12 ; or, use a calculator to multiply to find the value:

= 36.6308557617066198 ; round to 35.631 .
___________________________________

Final answer:

The question involves understanding square roots and cube roots in mathematics. The square root of 16 is 4 and of 4 is 2. The cube root of 4 is about 1.587 and of 16 is approximately 2.52.

Explanation:

The question is related to the concept of roots, specifically square roots and cube roots. A square root of a number is a value that, when multiplied by itself, gives the original number. The square root of 16 is 4 because 4*4 equals 16. Similarly, the square root of 4 is 2 because 2*2 equals 4.

On the other hand, the cube root of a number is a value that, when multiplied by itself twice, gives the original number. The cube root of 4 is approximately 1.587 because 1.587*1.587*1.587 is roughly equal to 4. The cube root of 16 is approximately 2.52 because 2.52*2.52*2.52 is roughly equal to 16.

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What is 2 9/10 - 1 7/18?

Answers

it is 1.51 and the one is repeating because all you do is subtract these, and you get a repeating answer.

One sample has n = 5 scores and the second has n = 10 scores.if the pooled variance for the two sample is 30, then what is the value of the estimated standard error for the sample mean difference?

Answers

Final answer:

The estimated standard error for the mean difference between two samples with sizes of 5 and 10 respectively, and a pooled variance of 30, is calculated using the standard error formula. The standard error is 3.

Explanation:

The question you've asked falls under the realm of statistics, in specific it involves the calculation of the estimated standard error for differences between two sample means (one with n=5 scores and the second with n=10 scores) given a pooled variance of 30.

The formula to find the estimated standard error for a difference between two sample means is:

SE = sqrt[(s1^2/n1) + (s2^2/n2)]

Where s1^2 and s2^2 are the variances of the two samples and n1 and n2 are the sizes of two samples respectively. As we do not know the variances for the individual samples, we can use the pooled variance as an estimate. The pooled variance can be considered as s1^2 = s2^2 = 30.

Now substitute these values in the equation, we get:

SE = sqrt[(30/5) + (30/10)] = sqrt[6+3] = sqrt[9] = 3

So, the estimated standard error for the mean difference between these two samples is 3.

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Evaluate {(30 + 6) - 3^2} divided by 9 x 2

A) 6.6

B) 6

C) 1.5

D) 34

Answers

36 - 3^2 divided by 2 * 9
36 - 9/9 * 2
36 - 2 * 1
36 - 2
34

Answer: D).

Hello!

Here is what the equation looks like, -since some of it is in words.

{(30 + 6) - 3^2} / 9 * 2

We're now going to simplify..

{(30 + 6) - 3^2} / 9 * 2 ---> {36 - 3^2} / 9 * 2

{36 - 9} / 9 * 2 ---> 27 / 9 * 2

27 / 9 * 2 ---> 3 * 2

3 * 2 ---> 6.

Your answer is B.

Hope this helps! ☺♥

The sum of two numbers is 54. their difference is 34. find the numbers.

Answers

x + y = 54
x - y = 34
----------------add
2x = 88
x = 88/2
x = 44

x + y = 54
44 + y = 54
y = 54 - 44
y = 10

so ur 2 numbers are 44 and 10

32x-28y=-36. and y=-7/8x-1 parallell or perpendicular

Answers

The answer you need is perpendicular

The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.

3. Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.

Answers

Attached the solution.

A square with an area of 49 in2 is rotated to form a cylinder. What is the volume of the cylinder? Round to the nearest tenth.

Answers

check the picture below.

so, the height of the cylinder, will be a dimension of the square, and its radius, is also a dimension of the square, since the square is being rotated about to make it.

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h\quad \begin{cases} r=radius\\ h=height\\ -----\\ r=7\\ h=7 \end{cases}\implies V=\pi \cdot 7^2\cdot 7[/tex]

Help please don't get it!!!!!!!!!!!!!!

Answers

Answer: Choice A) 1/9

--------------------------------------------
--------------------------------------------

Work Shown:

Replace every x with -4 and then simplify the right side

f(x) = 9(3)^x
f(-4) = 9(3)^(-4)
f(-4) = 9*(1/(3^4)) See note below
f(-4) = 9*(1/(3*3*3*3))
f(-4) = 9*(1/81)
f(-4) = 9/81
f(-4) = 9/(9*9)
f(-4) = 1/9

Note: I used the rule x^(-n) = 1/(x^n) which allows us to convert from negative exponents to positive ones.

1. The expression x3+3x2+x-5 represents the total length across the front of the mansion. Find the length of side I. Show all work. X will stay a variable and your answer will be a polynomial.

Answers

Given that the expression [tex]x^3+3x^2+x-5[/tex] represents the total length across the front of the mansion. Let the length of side I be a, then

[tex]x^4-2x^3+x-10+a-x^3+5x^2+2=x^3+3x^2+x-5 \\ \\ \Rightarrow a=x^3+3x^2+x-5-x^4+2x^3-x+10+x^3-5x^2-2 \\ \\ =\bold{-x^4+4x^3-2x^2+3}[/tex]

When Lisa purchased her house, the mortgage lender required her homeowner's insurance to cover 100% of the loan amount. After many years, Lisa paid off her mortgage. If Lisa decided to comparison shop for homeowner's insurance now, what should the insurance coverage amount be based on…

Answers

The mortgage lender of course wants the full loan amount to be covered considering if something happens to the home their collateral for the loan is gone, but once the home has been paid off I am sure the insurance will then cover the actual market value of the home.

When Lisa purchased her house, the mortgage lender required her homeowner's insurance to cover 100% of the loan amount. After many years, Lisa paid off her mortgage. If Lisa decided to comparison shop for homeowner's insurance now, then the insurance coverage amount be based on the cost to rebuild the house.

Clearview Window Cleaners washes 20 office windows in 168 minutes. How many hours is that?

Answers

2.8 because 168/60= 2.8 dqwjkFQIUUHFDIUEWAFIUHSDFHADSFHSJF

Its is two hours and forty eight minutes.

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( variable son both sides of an equation) SHOW ALL WORK AND MAKE SURE IT MAKES SENSE I WILL GIVE BRAINLIEST WITH BEST ANSWER THAT INCLUDES ALL OF THE ABOVE Solve: 7b-20=3b+12

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( variable son both sides of an equation)
SHOW ALL WORK AND MAKE SURE IT MAKES SENSE
I WILL GIVE BRAINLIEST WITH BEST ANSWER THAT INCLUDES ALL OF THE ABOVE

Solve: 7b-20=3b+12