All categories

3 years ago

-9b-6=-3b +48 Step by step

Mathematics

2 answers:

Travka [436]3 years ago

7 0

Answer:

b = -9

Step-by-step explanation:

1. Move the variables to the left side. Be sure to change the terms (add/subtract)

-9b-6 = -3b+48

-9b+3b-6 = 48

2. Combine like terms.

-9b+3b-6 = 48

-6b = 48 + 6

3. Divide both sides by -6.

-6b = 54

b = -9

Juli2301 [7.4K]3 years ago

6 0

Answer:

$b=-9$

Step-by-step explanation:

Given Equation:

$-9b-6=-3b +48$

Taking the terms of variable 'b' to one side and the constants to the other side:

Adding ' $3b$ ' both the sides:

$-9b+3b-6=-3b+3b +48\\\\-6b-6=48$

Adding '6' both the sides:

$-6b-6+6=48+6\\\\-6b=54$

Dividing by ' $-6$ ' both the sides:

$b=\dfrac{54}{-6}\\\\ b=-9$

The solution of the equation is : $b=-9$

You might be interested in

I need answers ASAP! Thanks!

Daniel [21]

Step-by-step explanation:

43. P, U

44. 7

53. Airplanes can be traveling on different planes, one plane above the other. Cars on the same intersection are on the same plane.

a. You can choose (4 * 3 * 2)/(3 * 2) = 4 groups of 3 points in which order does not matter.

One of those combinations does not have K, so 3 combinations of the 4 have K.

p = 3/4

b. p = 1 since any three points are always coplanar.

3 0

3 years ago

How to solve and write a linear equation ?

rjkz [21]

Answer:

Step-by-step explanation:

Identify the slope, m. calculate slope between two known points of the line using the slope formula.

Find the y-intercept. substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

7 0

3 years ago

Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targete

icang [17]

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Fleet of 17 means that $N = 17$

4 are carrying nucleas weapons, which means that $k = 4$

9 are destroyed, which means that $n = 9$

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

$P(X > 1) = 1 - P(X \leq 1)$

In which

$P(X \leq 1) = P(X = 0) + P(X = 1)$

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294$

$P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412$

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588$

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

8 0

3 years ago

B is a number larger than 1

Ulleksa [173]

B is greater than 1, so B>1

3 0

3 years ago

Read 2 more answers

You win a prize and are offered two choices. Which of the choices could be represented by a linear equation?

brilliants [131]

Answer:

choice b because it is constantly going up the same amount.

6 0

3 years ago

Read 2 more answers