Convert to scientific notation: 0.000678

Answers

Answer 1
6.78x10^-4 this will be the answer 

Answer 2
.000678 = 6.78 * 10^-4

Good luck~ Sans

Related Questions

Which of the following at the three cs of credit

Answers

the 3 c's of credit are : Character, Capital, and Capacity
Final answer:

The three Cs of credit are character, capacity, and capital, which represent the creditworthiness of an individual or business as assessed by lenders based on reputation, ability to repay, and assets for collateral respectively.

Explanation:

The three Cs of credit refer to character, capacity, and capital. These are the main criteria that lenders consider when assessing the creditworthiness of an individual or business. Character refers to the borrower's reputation and track record for repaying debts. Capacity is the borrower's ability to repay the loan, determined by their income and existing debt levels. And capital relates to the wealth or assets the borrower can offer as collateral. When banks conduct credit checks or require a co-signer, they are evaluating these aspects to decide on lending money.

find the x-intercept of the parabola with vertex (4,-1) and y- intercept (0,15). write answer in (x1,y1) (x2,y2) form :D ...?

Answers

Vertex form of the equation:
y = a ( x - h )² + k;
15 = a ( 0 - 4 )² - 1
15 = 16 a - 1
16 a = 16
a = 16 : 16
a = 1
After that we have to transform the equation to the standard form:
y = ( x - 4 )² - 1
y = x² - 8 x + 16 - 1
y = x² - 8 x + 15
Finally we have to find the zeroes:
x² - 8 x + 15 = 0
x² - 5 x - 3 x + 15 = 0
x ( x - 5 ) - 3 ( x - 5 ) = 0
( x - 5 ) ( x - 3 ) = 0
x = 3, x = 5
Answer:
( x 1, y 1 ) ; ( x 2 , y 2 ) = ( 3, 0 ) ; ( 5 , 0 )
 

Answer:

(3,0),(5,0)

Step-by-step explanation:

Add the comma in the middle or Plato will mark it wrong

Anna has put her money into various investments. Which of the three Cs of credit do these investments fall into?
A. Capital
B. Character
C. Capacity

Answers

The correct answer is:

A) Capital.

Explanation:

Capital is any valuable assets that you have such as real estate, personal property, or savings and investments that you could possibly use to repay credit debts if necessary.

Anna has put her money into various investments. These are Anna's capital.

A capital amount is the money that is needed to start any business venture or investment. Capital is also an asset of any person. Apart from personal money, capital also include funds in ones deposit accounts, tangible things like machinery used for production purposes etc.

HELPPP!!

Find the dimensions of a box with a square base with
(a) volume 12 and the minimal surface area
(b) surface area 20 and minimal volume ...?

Answers

Final answer:

The dimensions of the box for minimal surface area when volume is 12 are both the cube root of 3. When surface area is 20 for minimal volume, the dimensions are sqrt(5) for the base and (15 / (4*sqrt(5))) for the height.

Explanation:

The concept in this problem is about minimizing surface area and volume with relation to the dimensions of a box.

Let's consider a box with a square base of side 'x' and height 'h'. For part (a), the volume V of a box is given by V = x^2 * h which implies h = V / (x^2).

Substituting V = 12, we get h = 12/x^2. The surface area S of a box is given by S = x^2 + 4xh.

Substituting the value of h in the surface area equation, we have S = x^2 + 48/x.

To find the minimum surface area, we differentiate the above with respect to 'x' and set it equal to 0, which gives the dimensions of the box to be x = h = cube root of 3.

For part (b), the surface area S is given to be 20. So, S = x^2 + 4xh implies 4xh = 20 - x^2. The volume of the box is V = x^2 * h = (20 - x^2) / 4.

To minimize the volume, we differentiate V with respect to 'x' and set it to 0. That gives us the value of 'x' to be sqrt(5), and 'h' to be (20 - 5) / (4*sqrt(5))

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The Florida tourism board surveyed people on their favorite vacation cities. Half of the people said Orlando, 1/4 said Miami, 1/8 said Kissimmee, 1/16 said Fort Lauderdale, 1/32 said Key West, and the rest said Tampa. If 22 people said Tampa, how many people responded Orlando?

Answers

352? I'm not so sure.
Final answer:

To find out how many people responded Orlando, we need to add up the fractions for Miami, Kissimmee, Fort Lauderdale, Key West, and Tampa and then set up a proportion to find the number of people who said Orlando. The answer is approximately 47 people.

Explanation:

To find out how many people responded Orlando, we need to add up the fractions for Miami, Kissimmee, Fort Lauderdale, Key West, and Tampa since the rest said Tampa. The fractions we need to add are 1/4, 1/8, 1/16, and 1/32. Let's calculate each fraction to get a common denominator.

1/4 = 8/32, 1/8 = 4/32, 1/16 = 2/32, 1/32 = 1/32.

Now we can add them up: 8/32 + 4/32 + 2/32 + 1/32 = 15/32.

Since the remaining fraction is Tampa, which corresponds to 22 people, we can set up a proportion: 15/32 = 22/x to find out how many people said Orlando. Cross-multiply and solve for x: 32 * 22 = 15x, 704 = 15x, x = 704/15, x ≈ 46.93.

Therefore, approximately 47 people responded Orlando.

The maximum distance D(h) in kilometers that a person can see from a height h kilometers above the ground is given by the function D(h)=111.7 times square root of h. Find the height that would allow a person to see 50 kilometers.

Answers

Final answer:

To find the height that allows a person to see 50 kilometers, we set the given function equal to 50 and solve for h. This calculation gives us the height as approximately 0.2 kilometers.

Explanation:

The question requires us to find the height h that would allow a person to see 50 kilometers, given the function D(h)=111.7 * sqrt(h).

We can solve this by setting the function equal to 50 and then solving for h. Like so: 50 = 111.7 * sqrt(h).

To isolate sqrt(h), we divide both sides of the equation by 111.7: sqrt(h) = 50 / 111.7.

Then we square both sides of the equation to solve for h: h = (50 / 111.7)^2.

Upon calculating the right side of this equation, we find that the height is approximately 0.2 kilometers.

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The answer for this question is 0.2 Kilometers or 200 meters(approx.)

The detailed explanation is as follows :

The maximum distance D(h) in kilometers that a person can see from a height h kilometers above the ground is given by the function D(h)=111.7 times square root of h. We need to find the height that would allow a person to see 50 kilometers.

To solve this problem, we need to find the height h that allows a person to see a distance of 50 kilometers. We start with the given function:

D(h) = 111.7 * sqrt(h)

We set D(h) to 50 kilometers:

50 = 111.7 * sqrt(h)

To isolate sqrt(h), we divide both sides by 111.7:

sqrt(h) = 50 / 111.7

Next, we calculate the division:

sqrt(h) ≈ 0.4475

Now we square both sides to find h:

h = (0.4475)^2 ≈ 0.2002

Therefore, the height that allows a person to see 50 kilometers is approximately 0.2002 kilometers, or 200.2 meters above the ground.

Hence the required answer is 0.2 kilometers or 200 meters(approximately)

90 in fraction form show your work

Answers

it would be 90/100 
which could then be simplified to 9/10

hope this helps you

Numbers 1 - 10 are written on cards and placed in a bag. Find the probability of choosing a number greater than 5 or choosing an odd number. ...?

Answers

Final answer:

The probability of selecting a card greater than 5 or an odd number from a bag of cards numbered 1 to 10 is 0.8 or 80%.

Explanation:

The question asks for the probability of choosing a number greater than 5 or an odd number from a bag containing numbered cards from 1 to 10. To solve this, we should consider that numbers greater than 5 are 6, 7, 8, 9, and 10. There are 5 odd numbers in the set: 1, 3, 5, 7, and 9. The number 7 and 9 are both greater than 5 and odd, so they are counted only once when combining the two groups.

First, let's count the total unique outcomes that either meet the criterion of being greater than 5 or being odd: 6, 7, 8, 9, 10, 1, 3, 5 (7 and 9 are already counted). There are 8 such numbers.

The total number of possible outcomes is 10, as there are 10 cards. The probability is the number of favorable outcomes divided by the total number of possible outcomes: P = favorable outcomes / total outcomes = 8/10 = 0.8 or 80%.

How many window coverings are necessary to span 50 windows if each window covering is 15 windows long?

Answers

The correct answer is:
4.

Explanation:
To find this answer, we divide the number of windows, 50, by the length (in windows covered) of each covering, 15:
[tex] \frac{50}{15} = 3 \frac{1}{3} [/tex].
This means that 3 coverings won't quite be long enough, so we will need 4. 
Final answer:

To find out how many 15-window coverings are needed for 50 windows, divide 50 by 15, which gives approximately 3.33. Rounding up because we can't have partial window coverings, we will need 4 coverings.

Explanation:

The question asks: How many window coverings are necessary to span 50 windows if each window covering is 15 windows long?

To answer this question, we can do a simple division. We divide the total number of windows (50) by the length of each window covering (15).

So, we have 50 ÷ 15 which equals approximately 3.33. However, since we cannot have a fraction of a window covering, we need to round this number up. Therefore, we would need 4 window coverings to span 50 windows.

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During renovation, a pillar is supported by two braces as shown in the diagram. Based on the diagram, at what height should the short brace touch the pillar to ensure that the short brace is parallel to the long brace?
 
10 feet

12 feet

15 feet

17 feet

Answers

The answer is A. 10 feet, on Plato.


There are 4 different French books and 4 different Spanish books. How many ways are there to arrange them on a shelf if

(a) Books of the same language must be grouped together, French on the left, Spanish on the right?

(b) French and Spanish books must alternate in the grouping, beginning with a French book? ...?

Answers

(a) Books of the same language must be grouped together, French on the left, Spanish on the right
a.) Number of ways the French books will be arranged in the left = 4! = 4 x 3 x 2 x 1 = 24
b.) Number of ways the Spanish books will be arranged = 4! = 24
Number of ways of arranging the books such that the same language must be grouped together French on the left and Spanish on the right are 24 x 24 = 576 ways.

b.) Number of ways af arranging the books such that the books alternate beginning with a French book = 4 x 4 x 3 x 3 x 2 x 2 x 1 x 1 = 24 x 24 = 576 ways.

Describe the angle formed by the hands of a clock at 3:00 in the term of degrees and radians ...?

Answers

The minutes hand is at 12 and the hours hand is at 3, meaning the are perpendicular.
This is equivalent to an angle of 90° or π/2 radians.

Answer:

90 degree and  [tex]\frac{pi}{180}[/tex] radians.

Step-by-step explanation:

Given  :  Angle formed by the hands of a clock at 3:00

To find : Write in  term of degrees and radians ...

Solution : We have given that a clock show the time 3 :00

We know that at 3 : 00 clock show hour hand at 3 and minute hand at 12.

Angle formed by the minute hand at 12 and hour hand at 3 is 90 degree.

90 degree =  [tex]\frac{pi}{180}[/tex] radian.

Therefore, 90 degree and  [tex]\frac{pi}{180}[/tex]radians.

What are the sine, cosine, and tangent of Θ = 3 pi over 4 radians?

sin Θ = square root 2 over 2; cos Θ = negative square root 2 over 2; tan Θ = -1

sin Θ = negative square root 2 over 2; cos Θ = square root 2 over 2; tan Θ = 1

sin Θ = square root 2 over 2; cos Θ = negative square root 2 over 2; tan Θ = 1

sin Θ = negative square root 2 over 2; cos Θ = square root 2 over 2; tan Θ = -1

Answers

[tex] \frac{3 \pi }{4} * \frac{180degrees}{ \pi } = 135 degrees[/tex].

Drawing a reference triangle, this is 45 degrees in the second quadrant.
See attached.

Sine theta will be opposite/hypotenuse
[tex]= \frac{1}{ \sqrt{2} } * \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{ \sqrt{2} }{2} [/tex]

Cosine will be adjacent/hypotenuse
[tex] \frac{-1}{ \sqrt{2} } * \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{- \sqrt{2} }{2} [/tex]

Tangent will be opposite/adjacent
[tex] \frac{1}{-1}=-1 [/tex]

prove tan3A= (cos(2A)-cos(4A))/ (sin(4A)- Sin(2A)) ...?

Answers

The solution to the problem is as follows:

cos2A - cos4A = -2 sin(6A/2).sin(-2A/2) = +2 sin(3A).sinA
 
and
 
sin4A - sin2A = 2 cos(6A/2).sin(2A/2) = 2 cos(3A).sinA

Hence RHS = (cos(2A)-cos(4A))/ (sin(4A)- Sin(2A)) = sin 3A / cos 3A = tan 3A = LHS


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Which best describes the meaning of the term theorem? A.A statement that is easily deduced from a proven theorem B.A conclusion proved by deductive reasoning C.A conjecture based on inductive reasoning D.A statement explaining the meaning of a geometric term

Answers

The option which best describes the meaning of the term theorem is B. A conclusion proved by deductive reasoning.
A refers to hypothesis, C to an axiom, and D to a definition. 

HELPPPPPP
A person can order a new car with a choice of 10 possible colors, with or without air conditioning, with or without automatic transmission, with or without power windows, and with or without a CD player. In how many different ways can a new car be ordered with regard to these options?

Answers

Number of ways a new car can be ordered with regard to the options is 10 x 2! x 2! x 2! x 2! = 10 x 16 = 160 ways.

Final answer:

To find the number of different ways a new car can be ordered with various options, multiply the number of choices for each option.

Explanation:

To find the number of different ways a new car can be ordered with regard to the given options, we need to multiply the number of choices for each option. There are 10 possible colors, 2 choices for air conditioning (with or without), 2 choices for automatic transmission, 2 choices for power windows (with or without), and 2 choices for a CD player (with or without).

Therefore, the total number of different ways a new car can be ordered is:

10 colors × 2 choices for air conditioning × 2 choices for automatic transmission × 2 choices for power windows × 2 choices for a CD player = 10 × 2 × 2 × 2 × 2 = 160

Given f(x)=2x-8, find f(3)

Answers

f(3)=2*3-8=-2. 
Hope that helps. 

What is the expression for "the difference of five times a number and twice that number"?

5(2 - N)
5N - 2N
2N - 5N
5(N - 2)

Answers

"The difference of" means subtraction
"of 5 times a number" means 5N
"and twice that number" means 2N
So the statement is the subtraction of 5N and 2N

5N - 2N
The second option is correct.

Harriet is comparing the costs of calling cards. To use card A, the cost is $1.00 to connect and then $0.04 per minute. To use card B, it costs $0.65 to connect and then $0.06 per minute. For what number of minutes does it cost the same amount to use each card for a single call?

Answers

1 + .04m = .65 + .06m 1 - .65 = .06m - .04m .35 = .02x .35/.02 = x 17.5 = x

Answer: There are 17.5 minutes for which it costs the same amount to use each card for a single call.

Step-by-step explanation:

Let the number of minutes be x

To use card A, the cost is $1.00 to connect and then $0.04 per minute.

So, our expression becomes,

[tex]1+0.04x[/tex]

To use card B, the cost is $0.65 to connect and then $0.06 per minute.

So, our expression becomes,

[tex]0.65+0.06x[/tex]

According to question, if it cost the same amount to use each card for a single call, then it will be

[tex]1+0.04x=0.65+0.06x\\\\1-0.65=0.06x-0.04x\\\\0.35=0.02x\\\\\frac{0.35}{0.02}=x\\\\17.5=x[/tex]

Hence, there are 17.5 minutes for which it costs the same amount to use each card for a single call.

a bowling ball is dropped from a height of 24 feet. write a function that gives the height h (in feet) of the bowling ball after t seconds

Answers

gravity pulls at 32 feet per second so it would take .75sec to hit the ground now make an equation that can make this applicable so after .75 second T it would be at 0 feet H

Answer:

[tex]h=16t^2[/tex]

Step-by-step explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration due to gravity = 32 ft/s²

[tex]s=ut+\frac{1}{2}at^2\\\Rightarrow h=ut+\frac{1}{2}32\times t^2\\\Rightarrow h=ut+16t^2[/tex]

Here, u = 0 so,

[tex]h=0t+16t^2\\\Rightarrow h=16t^2[/tex]

The equation is [tex]h=16t^2[/tex]

[tex]24=16t^2\\\Rightarrow t=\sqrt{\frac{24}{16}}\\\Rightarrow t=1.22\ s[/tex]

Time taken by the ball to hit the ground is 1.22 seconds

f(x)=128(0.5)^x

(0, 1)


(1, 64)


(3, 16)


(8, 0.5)

Answers

The correct answers are:
_____________________________
Answer choices:
________________
[B]: (1, 64)
[C]: (3, 16)
[D]: (8, 0.5)
___________________________________________
Explanation:
___________________________________________
For clarity, let us rewrite the problem as:
___________________________________________
F(x)=128* (0.5)ˣ   
___________________________________________
Examine our answer choices;
_________________________
  [all of which are given as ordered pairs:  "(x, y)".].
________________________________
Start with the first "Answer Choice: [A]": (0, 1).
    Is this correct?
   (In other words, when "x" = 0; does "y" = 1 ?
____________________________________
Looking at the problem:
____________________
F(x)=128* (0.5)ˣ ;   If  x = 0, then y = 128.  

(0.5)⁰ = 1 ;  Then 128 * 1 = 128.  
____________________________
So, answer choice: [A]:  (0, 1): is incorrect).
____________________________________ 
Now let us examine answer choice: [B]:  (1, 64)
__________________________________________
Given our problem: 
___________________________________________________
F(x)=128* (0.5)ˣ ;  When we substitute "1" for "x", do we get "64"?
___________________________________________________
128 * (0.5)¹ =? 64? ;  Note:  (0.5)¹ = 0.5; so: 
___________________________________________________
128 * (0.5)¹ = 128 * (0.5) = 64 . Yes! 
So this answer choice, "Answer choice: [B]: (1, 64)", is correct.
___________________________________________________
Technically, there could be multiple correct answer choices, so let us examine the rest of the answer choices given:
_______________________________________________
Let us examine answer choice: [C]: (3, 16) .
____________________________________________________________
Given: F(x)=128* (0.5)ˣ ; when we substitute "3" for "x", do we get "16"?
________________________________________________
Let us substitute "3" for "x"; and write as: 
________________________________________________
F(x)=128 * (0.5)³  ;  Note: (0.5)³ = 0.125 = 1/8 ; so:
__________________________________________________
128 * (0.5)³ = 128 * 0.125 = 128 * (1/8) = 16.  Yes.
__________________________________________________
So this answer choice, "Answer choice: [C]: (3, 16)" is correct.
__________________________________________________
Let us examine answer choice: [D]: (8, 0.5) .
__________________________________________________
Given: F(x)=128* (0.5)ˣ ; when we substitute "8" for "x", do we get "0.5"?
__________________________________________________
Let us substitute "8" for "x"; and write as: 
________________________________________________
F(x)=128 * (0.5)⁸   ;  Note: (0.5)⁸  = 0.00390625 = 1/256 ; so:
__________________________________________________
128 * (0.5)⁸  = 128 * 0.00390625 = 128 * (1/256) = 0.5.  Yes.
________________________________________________
So this answer, "Answer choice: [D]: (8, 0.5)" is correct.

Lane is 10 times Mel's age. If the difference in their age is 27, how old is Mel? A. 26 B. 4 C. 3 D. 30

Answers

L = 10M
27 = L - M

27 = 10M - M

27 = 9M

M = 3

L = 10M = 10(3) = 30

Lane is 30 years old
Mel is 3 years old
The answer id C. 3 

Give me brainliest









mulitply (x + 5)(2x - 6)

Answers

the answer is 2x²+4x-30

Answer

2x^2+4x-30

Step-by-step explanation:

Foil

First

Outside

Inside

Last

A tunnel is in the shape of a parabola. The maximum height is 31 m and it is 13 m wide at the base as shown below.

A parabola opening down with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 31 meters and its width from left to right is 13 meters.

What is the vertical clearance 2 m from the edge of the tunnel?

Answers

Answer:

previous is correct

Step-by-step explanation:

(4n^2 3n) (2n^3-4) (3n^2-2n) ?

Answers

(4n² 3n ) = 12n³

(12n³) (2n³-4) (3n²-2n) = (24n^6 - 48n³) (3n²-2n)
= 72n^8 - 48n^7 - 144n^5 + 96n^4

You have a part time job. You work for 3 hours on Friday and 6 hours on Saturday. You also receive an allowance of $20 per week. You earn $92 per week. How much do you earn per hour at your part time job?

Answers

$92 - $20 = $72, because we shouldn't take allowance into account
3 + 6 = 9, because that is the total number of hours this person works per week
We should just do this:
72 / 9 = 8
This means that this person earns $8 per hour at his part time job. 

The soccer team voted on what they wanted to eat. there are 20 members on the team. six members voted for pizza, 10 voted for chicken, and the rest voted for hot dogs. which ratio represents the number of votes for hot dogs to chicken

Answers

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The ratio is hot dogs to chicken the chicken isten tho to find the hot dogs first you do

10+6=16

So it says 20 members so then you needa see how much would equal the amont 20 obviously 4 so the hot dogs equal to 4 so the ratio is 4:10

Answer:

2/5

Step-by-step explanation:

just did it and it is correct

Which statement is true for the set of natural numbers?

A. The set is closed under addition and closed under subtraction
B. The set is closed under addition and not closed under subtraction
C. The set is not closed under addition and closed under subtraction
D. The set is not closed under addition and not closed under subtraction

Answers

It's closed under addition. You can take any two natural numbers you want, add them up and you'll get some other natural number (eg: 3 and 5 ---> 3+5 = 8)

it's not closed under subtraction. Sure 5-3 = 2 is a natural number but 3-5 = -2 is not a natural number

so that leads us to the answer being choice B
Final answer:

The set of natural numbers is closed under addition but not under subtraction.

Explanation:

The statement that is true for the set of natural numbers is B. The set is closed under addition and not closed under subtraction.

In mathematics, a set is considered closed under an operation if applying that operation to any two elements in the set always produces an element that is also in the set.

For the set of natural numbers, adding two natural numbers will always result in another natural number, so it is closed under addition. However, subtracting two natural numbers may result in a negative number, which is not a natural number, so it is not closed under subtraction.

Solve for b2 in A = 1/2 h(b1+b2), if A = 16, h = 4, and b1 = 3. 16= 1/2* 4(3+b2) =6+2b2 or, b2= [16-6]/2= 5

Answers

Assuming you are referring to the area of a "trapezoid"; in which one calculates the Area, "A", as follows:
________________________
 A = 1/2* h(b1+b2) ;

in which: A = Area = 16 (given); 
               h = height = 4 (given);
               b1 = length of one of the two bases = 3 (given);
               b2 = length of the other of the two bases = ? (what we want to solve                                                                                            for) ;
______________________________________________________
Using the formula: A = 1/2 h(b1+b2) ;
________________________________
Let us plug in our known values:
___________________________
 →  16 = (1/2) * 4*(3 + b2) ;  → Solve for "b2".
________________________________
 →Note: On the "right-hand side" on this equation: "(1/2)*(4) = 2 ." 
________________________________
 So, we can rewrite the equation as:
________________________________
 → 16 =   2*(3 + b2) ;  → Solve for "b2".
________________________________
We can divide EACH side of the equation by "2"; to cancel the "2" on the "right-hand side" of the equation:
________________________________
 → 16 / 2 =   [2*(3 + b2)] / 2  ;  → to get:
___________________________
8 = (3 + b2) ;
_________________
 → Rewrite as: 8 = 3 + b2;
_______________________
Subtract "3" from EACH side of the equation; to isolate "b2" on one side of the equation; and to solve for "b2" :
______________________________
 → 8 - 3 = 3 + b2 - 3 ;  → to get:
_____________________
b2 = 5;  From the 2 (TWO) answer choices given, this value,
"b2 = 5", corresponds with the following answer choice:
____________________
b2= [16-6]/2= 5 ; as this is the only answer choice that has: "b2 = 5".
_________________________________________

As far getting "b2 = 5"  from: "b2= [16-6]/2= 5"; (as mentioned in the answer choice), we need simply to approach the problem in a slightly different manner.  Let us do so, as follows:
_____________________________________
Start from: A = 1/2 h(b1+b2); and substitute our known (given) values):
________________________
→ 16 = (1/2) *4 (3 + b2) ; → Solve for "b2".
_____________________________
Note that: (½)*4 = 2;  so we can substitute "2" for: "(1/2) *4" ; 
and rewrite the equation as follows:
_________________________
→ 16 = 2 (3 + b2) ;
____________________
Note: The distributive property of multiplication:
_________________________
a*(b+c) = ab + ac ;
_________
As such: 2*(3 + b2) = (2*3 + 2*b2) = (6 + 2b2). 
_________________
So we can substitute: "(6 + 2b2)" in lieu of "[2*(3 + b2)]"; and can rewrite the equation:
______________________
→ 16 = 6 + 2(b2) ; Now, we can subtract "6" from EACH side of the equation; to attempt to isolate "b2" on one side of the equation:
________________________________________________
 → 16 - 6 =  6 + 2(b2) - 6 ;
      → Since "6-6 = 0"; the "6 - 6" on the "right-hand side" of the equation cancel.
→ We now have: 16 - 6 = 2*b2 ; 
___________
Now divide EACH SIDE of the equation by "2"; to isolate "b2" on one side of the equation; and to solve for "b2":
____________________
   → (16 - 6) / 2 = (2*b2) / 2 ; 
     → (16 - 6) / 2 = b2 ;
       → (10) / 2 = b2 = 5.
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NOTE: The other answer choice given: 
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"16= 1/2* 4(3+b2)= 6+2b2" is incorrect; since it does not solve for "b2".

What is 1 third of 48?

Answers

1/3 times 48/1
48/3 = 16
1/3 of 48 is 16
1 third of 48 is 16!
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