3b-4/2 = c, solve for b

Answers

Answer 1
Greetings!

"Solve for b"...

[tex]3b-4/2 = c[/tex]
[tex]3b-2= c[/tex]\
Add to both sides.
[tex](3b-2)+2=(c)+2[/tex]
Simplify.
[tex]3b=c+2[/tex]
Divide both sides by 3.
[tex](3b)/3=(c+2)/3[/tex]
Simplify.
[tex]b=1/3c+2/3[/tex]

The answer would be: b=1/3c+2/3

Hope this helps.
-Benjamin
Answer 2

Answer:  The required solution for b is [tex]b=\dfrac{2c+4}{3}.[/tex]

Step-by-step explanation:  We are given to solve the following equation for b :

[tex]\dfrac{3b-4}{2}=c~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To solve the given equation for b, we must take b on one side of the equation and all other terms on the other side.

From equation (i), we get

[tex]\dfrac{3b-4}{2}=c\\\\\Rightarrow 3b-4=2c\\\\\Rightarrow 3b=2c+4\\\\\Rightarrow b=\dfrac{2c+4}{3}.[/tex]

Thus, the required solution for b is [tex]b=\dfrac{2c+4}{3}.[/tex]


Related Questions

is a integer a rational number

Answers

yes. it is. a rational number includes whole,natural and integers
Yes, it is. Integers, whole numbers, and natural numbers are all rational numbers. 

subtract the quotient of 15/3 from the sum of 33 and 7

Answers

quotient is division

 so 15/3 = 5

sum is addition so 33+7 = 40

40-5 = 35

Find the degree of the term -5x squared

Answers

The polynomial degree is 33, the leading term is 4x34x3, and the leading coefficient is 44.Polynomial Degree: 33Leading Term: 4x34x3Leading Coefficient: 4
-5x²

The degree of the term is 2, or quadratic

hope this helps

How many elements are in the set (A,B,C)

Answers

The answer is:
A has 25 elements
B has 30 elements
C has 35 elements
the answer to this question is 1 I believe 

Let a be a rational number and b be an irrational number. Which of the following are true statements?

A. The sum of a and b is never rational
B. The product of a and b is rational
C. b^2 is sometimes rational
D. a^2 is always rational
E. √a is never rational
F. √b is never rational

Answers

a and b would be correct 

What do March 16, 1948, Feb. 25, 1950, and Aug. 8, 1964 have in common??

Answers

the product of the month and the day is equivalent to the years last two digits

how many gallons will it take to mow a lawn if you maintain the rate of 1/2 gallon of gasoline per 1/4 mowed

Answers

recall that one whole is 1, or in this case since the denominator is 4, then 4/4 is 1 whole, so the whole lawn is 4/4.

[tex]\bf \begin{array}{ccll} gallons&mowed\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \frac{1}{2}&\frac{1}{4}\\\\ g&\frac{4}{4} \end{array}\implies \cfrac{\frac{1}{2}}{g}=\cfrac{\frac{1}{4}}{\frac{4}{4}}\implies \cfrac{\frac{1}{2}}{\frac{g}{1}}=\cfrac{\frac{1}{4}}{\frac{4}{4}}\implies \cfrac{1}{2}\cdot \cfrac{1}{g}=\cfrac{1}{4}\cdot \cfrac{4}{4} \\\\\\ \cfrac{1}{2g}=\cfrac{1}{4}\implies 4=2g\implies \cfrac{4}{2}=g\implies 2=g[/tex]

solve the following equation for 2 + √4y -3 = 11

Answers

2+√4y-3=11
2+√4y=11+3=14
√4y=14-2=12
root 4y=2y
2y=12,divide both side by 2
y=6

Final answer:

To solve the equation 2 + √(4y - 3) = 11 for y, subtract 2 from both sides, square both sides to remove the square root, then solve for y to find that y = 21.

Explanation:

The question asks to solve the equation 2 + √(4y - 3) = 11 for y. To solve for y, follow the steps below:

First, subtract 2 from both sides of the equation to isolate the square root term: √(4y - 3) = 9.

Now, square both sides of the equation to eliminate the square root: (√(4y - 3))^2 = 9^2, which simplifies to 4y - 3 = 81.

Add 3 to both sides of the equation to isolate the term with y: 4y = 84.

Finally, divide both sides by 4 to solve for y: y = 21.

Therefore, the solution to the equation is y = 21.

The equation 22 + 0.15p =c

Answers

You have inadvertently left out some of the instructions for this problem.

22 + 0.15p =c could be solved for p; that's one thing you could do now.

Subtracting 22 from both sides, 0.15p = c - 22

Dividing both sides by 0.15,    p = (c-22)/0.15  , or p = (20/3)(c-22).

The sum of three consecutive numbers is 72. What is the largest of these numbers?

Answers

3 consecutive numbers....x, x + 1 and x + 2

x + x + 1 + x + 2 = 72
3x + 3 = 72
3x = 72 - 3
3x = 69
x = 69/3
x = 23

x + 1 = 23 + 1 = 24
x + 2 = 23 + 2 = 25

so ur numbers are 23,24,25 with 25 being the largest

25  Is the largest number too add up to the sum.

Is a measure of dispersion that indicates how much scores in a sample vary around the mean of the sample?

Answers

The measure of dispersion that indicates how much scores in a sample vary around the mean of the sample is the standard deviation.
The measure is called STANDARD DEVIATION.
Standard deviation is a mathematical measure that is used to evaluate the difference between the mean value of a set of number and each value in the group. It is calculated as the square root of variance by determining the variation between each data point relative to the mean.

translate into an algebraic expression: the difference of six times a number and 8

Answers

6x-8 is the answer to the question

How many gallons of a 80% antifreeze solution must be mixed with 60 gallons of 30% antifreeze to get a mixture that is 70% antifreeze?

Answers

Let x be the number of gallons.

(x)(80%) + (60)(30%) = (x+60)((70%)

0.8x + 18 = 0.7x +42

0.8x - 0.7x = 42-18

0.1x = 24

and x = 240 Gal.

Find y'' by implicit differentiation. 5x3 + 2y3 = 1

Answers

[tex]\bf 5x^3+2y^3=1\implies 15x^2+\stackrel{chain-rule}{6y^2\cfrac{dy}{dx}}=0\implies 6y^2\cfrac{dy}{dx}=-15x^2 \\\\\\ \cfrac{dy}{dx}=\cfrac{-15x^2}{6y^2}\implies \cfrac{dy}{dx}=\cfrac{-5x^2}{2y^2}[/tex]

The value of y'' will be (- 5x/y² - 25x⁴/2y⁵).

What is implicit differentiation?

In implicit differentiation, we differentiate each side of an equation with two variables by treating one of the variable as a function of other.

Given that;

The equation is;

5x³ + 2y³ = 1

Now, Apply implicit differentiation rule we get;

5x³ + 2y³ = 1

After differentiation;

15x² + 6y² dy/dx = 0

dy/dx = - 15x² / 6y²

dy/dx = -5x²/2y²

Again differentiation;

d²y/dx² = -5/2 (y² × 2x - x² × 2y dy/dx) / y⁴

d²y/dx² = -5/2 (2xy² - 2x²y dy/dx) / y⁴

Substitute value of dy/dx;

d²y/dx² = - 5/2 (2xy² - 2x²y × -5x²/2y²) / y⁴

d²y/dx² = - 5/2 (2xy² + 5x⁴/y) / y⁴

d²y/dx² = - 5x/y² - 25x⁴/2y⁵

y'' = - 5x/y² - 25x⁴/2y⁵

Thus, The value of y'' will be (- 5x/y² - 25x⁴/2y⁵).

Learn more about the implicit differentiation visit:

https://brainly.com/question/11887805

#SPJ2

Lean wants to giftwrap a present she got for her little brother. how many square inches of giftwrap will be needed to cover a box that is 5in × 7in × 3in?

Answers

check the picture below.

so.. notice, the box for the gift is really just a rectangular prism, which is really just 6 rectangles stacked up to each other at the edges.

the front and back are two 5x3 rectangles

the left and right are just two 3x7 rectangles

and the top and bottom are just two 5x7 rectangles

so, just get the area of each, sum them up, and that's the area of the rectangular prism and thus of the box, and that's how many in² she will need.

Between 2004 and 2010, the growth rate of the Florida Panther population was approximately 4%. What was the average annual growth rate?

Answers

Hello! So in order to find the annual growth rate, we have to divide the percentage by the number of years. 2004 and 2010 poses a gap of 6 years. We would have to set it up as 4/6. When you divide them, you would get 0.666 or 0.67 when rounded to the nearest hundredth. The average annual growth rate is about 0.67%.

Find the equation of the curve that passes through the point 0, 1 6 and whose slope at each point (x, y) is − x 12y .

Answers

The equation is [tex]\(x^2 + 12y^2 - 3072 = 0\),[/tex] obtained from integrating [tex]\(12y \, dy = -x \, dx\)[/tex] with the initial condition.

To find the equation of the curve passing through the point (0, 16) with a slope given by [tex]\( \frac{{dy}}{{dx}} = -\frac{x}{12y} \),[/tex] you can use separation of variables.

Given that [tex]\( \frac{{dy}}{{dx}} = -\frac{x}{12y} \)[/tex], we can rewrite it as:

[tex]\[ 12y \, dy = -x \, dx \][/tex]

Now, integrate both sides:

[tex]\[ \int 12y \, dy = \int -x \, dx \]\[ 6y^2 = -\frac{1}{2}x^2 + C \][/tex]

Given that the curve passes through the point (0, 16), substitute these values into the equation:

[tex]\[ 6(16)^2 = -\frac{1}{2}(0)^2 + C \]\[ 6(256) = C \]\[ C = 1536 \][/tex]

Therefore, the equation of the curve is:

[tex]\[ 6y^2 = -\frac{1}{2}x^2 + 1536 \][/tex]

This can also be written in standard form as:

[tex]\[ x^2 + 12y^2 - 3072 = 0 \][/tex]

So, the equation of the curve is [tex]\( x^2 + 12y^2 - 3072 = 0 \).[/tex]

Suppose John opens a savings account with $1,000 that compounds interest daily. The APR at the time John deposits the account is 3.5%. He makes no withdrawals or deposits. What is his APY to the nearest hundredth of a percent after 1 year?

Answers

[tex]\bf \qquad \qquad \textit{Annual Yield Formula} \\\\ \left. \qquad \qquad \right.\left(1+\frac{r}{n}\right)^{n}-1 \\\\ \begin{cases} r=rate\to 3.5\%\to \frac{3.5}{100}\to &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year} \end{array}\to &365 \end{cases} \\\\\\ \left(1+\frac{0.035}{365}\right)^{365}-1[/tex]

A restaurant uses 44 pounds of potatoes for a party of 1212 people. If they are cooking potatoes for a party of 60 people, what should they do?

Answers

use 5 times more potatoes

Estimate sin pi/3 if sin pi/2 = 1 and sin 0 = 0 and sin pi = 0

Answers

hello :  
sin(π/3) = √3 / 2 
Final answer:

To estimate the value of sin pi/3, which is roughly 1.047 or 60 degrees, we can use standard trigonometric values. Since pi/3 is closer to pi/2 than pi, where sin achieves its maximum of 1, the value of sin pi/3 should be closer to 1 than 0. Standard trigonometric values confirm that sin pi/3 = sqrt(3)/2 = 0.866.

Explanation:

To estimate sin pi/3, we can make use of some standard values in trigonometry. Pi is roughly 3.14, hence pi/3 is roughly 1.047. The sin function gives a result of 1 at pi/2 (or 90 degrees), 0 at 0, and again 0 at pi (or 180 degrees). Thus, it achieves its maximum at pi/2 and then decreases to 0 at pi. Intuitively, since pi/3 (or 60 degrees) is closer to pi/2 than to pi, the sin value at pi/3 should be closer to 1 than to 0. From the standard trigonometric values, we know that sin pi/3 = sqrt(3)/2 which is roughly 0.866.

Learn more about Trigonometry here:

https://brainly.com/question/11016599

#SPJ12

Solve for W

A=2Lw+2Lh+2wh

Answers

A = 2LW + 2LH + 2WH....subtract 2LH from both sides
A - 2LH = 2LW + 2WH...factor out w on the left side
A - 2LH = W(2L + 2H) ....divide both sides by (2L + 2H)
(A - 2LH) / (2L + 2H) = W

Find the derivative of f (x)=(x^2+1)^3 (x^2+2)^6 using chain rule.

Answers

[tex]\bf f(x)=(x^2)^3(x^2+2)^6\impliedby \textit{product rule on the factors} \\\\\\ \cfrac{df}{dx}=[ 3(x^2+1)^2(2x)][(x^2+2)^6]~+~(x^2+1)^3[6(x^2+2)^5(2x)] \\\\\\ \cfrac{df}{dx}=[6x(x^2+1)^2(x^2+2)^6]~+~[12x(x^2+1)^3(x^2+2)^5] \\\\\\ \cfrac{df}{dx}=\stackrel{\textit{common factor}}{6x(x^2+1)^2(x^2+2)^5}[(x^2+2)+2(x^2+1)] \\\\\\ \cfrac{df}{dx}=6x(x^2+1)^2(x^2+2)^5[3x^2+4][/tex]

1.4t-0.4(t-3.1)=5.8

What is T?

Answers

1.4t-.4t+1.24=5.80

t+1.24=5.80

t=4.56

A car travels 182 miles in 3 hours and 15 minutes. How many miles does it travel per hour?

Answers

To solve this, we'll use the formula distance=rate*time. There's just one problem here: we need all of our time to be in the same units. Let's convert the 15 minutes into hours:
[tex]15min*\frac{1hour}{60min}=0.25hr[/tex]

Then we just use the formula:
[tex]d=182*0.25[/tex]
15 minutes = 15/60 = 0.25 hrs + the 3 hrs = 3.25 hrs

182 / 3.25 = 56 miles per hr

What is the standard form of 14 ten thousands + 12 thousands

Answers

140000 + 12000 = 152000

hope this helps

how many times larger is the value of the 8 in 80,351 than the value of the 8 in 95,852

Answers

I believe it is 100 times larger as it is in the hundreds place for one, and the ten thousands place for the other
10000/100= 100
The 8 in 80,351 is 100 times larger than the value of the 8 in 95,852 because the 8 in 95,852 is in the hundreds place and the 8 in 80,351 is in the ten thousands place. 800x100 is 80,000.

Why is it impossible to list the set of rational numbers using the roster method?

Answers

It is impossible to list the set of rational numbers using the roster method because the set of rational numbers is uncountable/inumerable.

There is no way to list all the members of the set of rational numbers.

Can the sum of two negative numbers ever be positive?

Answers

no
two negatives equal positive, and one negative and one positive is i think negative
there can be  a negative sum 

Write the number 63 in four different ways

Answers

 63 in four different ways
1) 63 ones
2) 6 tens and 3 ones
3) 3 tens and 33 ones
4) 4 tens and 23 ones

Solution:

we have been asked to write the number 63 in four different ways. It can be done as follows

[tex]63=60+3[/tex]

Here we are just adding 3 to 60 and finally we get 63.

[tex]63=6\times10+3[/tex]

This one of the many way of writing 63.

[tex]63=70-7[/tex]

Here we have used the concept of subtraction to write 63.

[tex]63=7\times10-7[/tex]

Concept of subtraction and multiplication to write the number 63.

Hence  the four ways have been written.


Generate a process that would generate random numbers between –1 and 1 for x and y positions of 10000 points and count how many points fall with the circle, then determine an estimated version of π. (see below to generate floating point random numbers. this generation is not needed to describe the process, but to implement the process)

Answers

#!/usr/bin/env python

import random
import math
count_inside = 0
     for count in range(0, 10000): d = math.hypot(random.random(), random.random())
    if d < 1: count_inside += 1
count += 1
print 4.0 * count_inside / count
Final answer:

The question is about using the Monte Carlo method to estimate the value of π, by generating random points in a square, counting how many fall inside a unit circle, and finally using this count to calculate π.

Explanation:

This question involves the implementation of a famous problem in computational mathematics known as the Monte Carlo method for estimating the value of π:

First, initialize a variable, say 'count', to 0. This variable will keep track of the number of points falling within the circle.Next, carry out a 'for' loop to generate 10000 points. Each point will have x and y coordinates, each a random floating point number between -1 and 1.For each generated point (x, y), calculate the distance from the point to the origin (0,0), which is sqrt(x^2 + y^2). If this distance is less than or equal to 1, it means that the point lies within the unit circle, so increment the 'count' variable by one.After all 10000 points have been generated and tested, 'count' will hold the total number of points lying within the circle. To determine an estimation of π, use the formula 4 * (count / total_number_of_points).

This process is based on the mathematical fact that the ratio of the area of a unit circle to the square it is inscribed in is π/4.

Learn more about Monte Carlo method here:

https://brainly.com/question/30847116

#SPJ12

Other Questions
In a lottery, a 4 digit number from 0000 to 9999 is randomly selected. Find the probability that the number selected begins with a 3 and ends in a 2 or 0. Defined as to how the mind allows people to adapt live work and play it is called What vital role do firemen play in society, according to beatty? A high-speed catamaran operates between city and cityb. the catamaran can make the 157-mile trip in about 2 1/2 hours. find the catamaran speed for this trip. The weekly demand and supply functions for Sportsman 5 7 tents are given by p = 0.1x^2 x + 33 p = 0.1x^2 + 2x + 13 respectively, where p is measured in dollars and x is measured in units of a hundred. Find the equilibrium quantity. Find the equilibrium price. what allows the flow of energy through an ecosystem to happen in what way would the desert ant's life be even more fraught with danger if it lost the use of its eyes estimate 3929 show how you estimated what best describes the degree to which a material can transmit heat- melting point- boiling point- thermal conductivity - electrical conductivity where were the first shots of the american revolution fired and what was the early phase of the fighting like Use the following information to complete this activity: Five people in the hospital, each has only 1 disease & each has a different disease. Each person occupies a separate room; Room numbers are 101 to - 105.1. Person with asthma is in room 101.2. Ms. Jones has heart disease.3. Ms. Green is in room 105.4. Ms. Smith has tuberculosis.5. The woman with mononucleosis is in room 104.6. Ms. Thomas is in room 101.7. One of the patients, other than Ms. Anderson, has gall bladder disease. Anyone special in Medical Law and Ethics? If you had a 30-pound barbell at home and you wanted to compare your muscular endurance to your younger brother's, which method would be the BEST to use Suppose a 4.0 kg mass of water gained heat and increased in temperature from 10C to 15C. The specific heat capacity of water is 4.186 kJ/kgC. How much heat was gained by the water? 9.6 kJ 20 kJ 56 kJ 84 kJ mVUT =175, mVUJ=17x-3, and mJUT=17x+8. Find x The total land area on earth is about 610 to the seventh power square miles. The layered of Australia is about 310 to the six power square miles. About how many times larger is the land on earth than land of Australia Graph the image of the given triangle, reflected across the y-axis for 2.Graph the image of the given triangle after the transformation that has the rule (x, y)(x, y) for 3. A Brainliest for the correct answer A tank initially contains 200 gallons of brine, with 50 pounds of salt in solution. brine containing 2 pounds of salt per gallon is entering the tank at the rate of 4 gallons per minute and is is flowing out at the same rate. if the mixture in the tank is kept uniform by constant stirring, find the amount of salt in the tank at the end of 40 minutes. the amount of salt in the tank at the A doctor see each of her patients of 25 minutes durning a typical appointment how many patients can she see in a typical 7 1/2 hour day Steam Workshop Downloader