What is 40.8 ÷ 6? Please explain how you got your answer​

Answers

Answer 1
Answer:

Answer:

6.8

How many 6's can go into 40?

6 + 6 + 6 + 6 + 6 + 6 = 36

6 6's

Subtract the amount off

40.8-36=4.8

How many 6's can go into 4.8?

0.6 + 0.6 +0. 6 + 0.6 + 0.6 + 0.6 + 0.6 + 0.6 = 48

0.8 6's

4.8 = 4.8 = 0

6 6's + 0.8 6's = 6.8 6's

6.8 is the answer

If you have any questions you can ask

Step-by-step explanation:


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Y=2x-1 Graph the equation? (steps please thanks!)

Evaluate:
90 over
-10

Answers

Answer:

-9

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

Which of the following is the abbreviation for a milligram?g
mig
Mg
mg

Answers

The last one is correct

Milligram is mg.

Mg is not milligrams!
The last one! hopes this help.

An igloo has a circular floor with a radius of 2 yards. What is the floor’s diameter?

Answers

Diameter

When we're given the radius, and asked to find the diameter, we use a simple formula, which is:

\boldsymbol{\sf{Diameter=radius*2}}

Since we know the radius, we substitute it into the formula:

\boldsymbol{\sf{Diameter=2*2}}

\boldsymbol{\sf{Diameter=4\;yards}}

Therefore, the diameter is 4 yards.

------------- Additional formulas -----------

\sf{radius=\cfrac{diameter}{2}}

\sf{Circumference=\pi d}

\sf{Circumference=2\pi r}

\sf{Area=\pi r^2}

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

The diameter of a circle is twice the length of its radius. In this case, the radius of the igloo's circular floor is 2 yards. Therefore, the diameter can be calculated as:

Diameter = 2 * Radius

Diameter = 2 * 2 yards

Diameter = 4 yards

So, the floor's diameter is 4 yards.

Which of the following is the conjugate of a complex number with 5 as the real part and −2i as the imaginary part?Answers:

5 + 2i

−5 − 2i

−5 + 2i

5 − 2i

Answers

Answer:  the correct option is

(A) 5 + 2i.

Step-by-step explanation:  We are given to select the complex number that is the conjugate of a complex number with 5 as the real part and −2i as the imaginary part.

We know that

a complex number z can be written as

z = a + bi, where a is the real part and bi is the imaginary part.

According to the given information, we have

a = 5  and  b = -2i

So, z = 5 - 2i.

Therefore, the conjugate of z is given by

\bar{z}=5+2i.

Thus, the required conjugate number is 5 + 2i.

Option (A) is CORRECT.

5+2i. You only have to change the operation of the original expression, not the signs (positives and negatives) of each term.

The value of x that satisfies the equation 2/3x + 4 = 3/2(x-4) is?

Answers

Answer:

A solution to an equation is a value of a variable that makes the equation true. From the statement "Which value of x satisfies the equation", we need to understand that, we have to find the value of x from the given question.

Let us see some example problems based on the above concept.

Example 1 :

Which value of x is the solution of the equation

(2/3) x + (1/2) = (5/6) ?

Solution :

(2/3) x + (1/2)  =  (5/6)

(2x/3)  + (1/2)  =  (5/6)

(4x + 3)/6  =  (5/6)

Multiply 6 on both sides

4x + 3  =  5

Subtract 3 on both sides

4x + 3 - 3  =  5 - 3

4x =  2

Divide by 4 on both sides

4x/4  =  2/4

x  =  1/2

Hence the value 1/2 will satisfy the above equation.

Example 2 :

Which value of x is the solution of the equation

(2/3) x + (x/6) = 5 ?

Solution :

(2x/3) + (x/6) = 5

(4x/6) + (x/6) = 5

(4x + x)/6  =  5

5x/6  =  5

Multiply by 6 on both sides

5x  =  5 (6)

5x  =  30

Divide by 5 on both sides

x  =  30/5  =  6

Hence the value 6 will satisfy the above equation.

Example 3 :

The number of people on the school board is represented by x. Two subcommittees with an equal number of members are formed, one with (2x/3) − 5 members and the other with x/4 members. How many people are on the school board?

Solution :

From the above question, we come to know that we have to solve for x, that makes the statement true.

(2x/3) − 5  =  x/4

(2x - 15)/3  =  x/4

Multiply 3 on both sides

2x - 15  =  3x/4

Multiply by 4 on both sides

4(2x - 15)  =  3x

8x - 60   =  3x

Subtract 3x on both sides

8x - 3x  -  60  =  0

5x - 60  =  0

Add by 60 on both sides

5x - 60 + 60  =  0  + 60

5x  =  60

Divide by 5 on both sides

x  = 60/5

x  =  12

Example 4 :

What is the value of x in the equation

(x − 2)/3 + 1/6 = 5/6 ?

Solution :

(x − 2)/3 + 1/6 = 5/6

(2(x - 2) + 1)/6  =  5/6

multiply by 6 on both sides

(2x - 4 + 1)  =  5

2x - 3  =  5

Add 3 on both sides

2x - 3 + 3  =  5 + 3

2x  =  8

Divide by 2 on both sides

x  = 8/2

x  =  4

Step-by-step explanation:

Final answer:

The value of x that satisfies the equation 2/3x + 4 = 3/2(x-4) is 8.4

Explanation:

To find the value of x that satisfies the equation 2/3x + 4 = 3/2(x-4), we first distribute 3/2 into the parenthesis to get 2/3x + 4 = 3/2x - 3/2. Now isolate x on one side of the equation. To eliminate fractions, multiply all terms by 6 giving 4x + 24 = 9x - 18. Rearrange the terms to form a linear equation 5x = 42, hence x = 42 / 5 = 8.4 is the solution to the equation.

Learn more about Equation Solving here:

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The resting heart rates for 80 women aged 46–55 in a simple random sample are normally distributed, with a mean of 71 beats per minute and a standard deviation of 6 beats per minute. Assuming a 90% confidence level, what is the margin of error for the population mean? 0.66 1.10 1.31 1.73

Answers

Given:
Confidence level = 90%
mean = 71 beats per minute
standard deviation = 6 beats per minute

margin of error = z * δ / √n

where : δ - population of the standard deviation, n is the sample size ; z is the appropriate z value.

90% confidence level = 1.645 in z-value

margin of error = 1.645 * (6/√80) = 1.645 * (6/8.94) = 1.645 *  0.671 = 1.104

The margin of error is 1.10