How do you write 7.40 × 102 in standard form?

Answers

Answer 1
Answer:

Answer:

I believe that the answer is 7.4 * 10^2 + 2

-- The answer to that equation is 754.8 if that was needed as well

Step-by-step explanation:

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Answer 2
Answer:

Standard form is a way of writing down very large or very small numbers easily. 103 = 1000, so 4 × 103 = 4000 . So 4000 can be written as 4 × 10³ . This idea can be used to write even larger numbers down easily in standard form.Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number)., so I believe the answer would be 7.4*10^2+2

Hope I helped :)


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The total weight of 6 pieces of butter and a bag of sugar is 3.8lb. If the weight of the bag of sugar is 1.4 lbs what is the weight of each piece of butter

Answers

the total weight of 6 pieces of butter and bag of sugar is 3.8 lb

lets name a piece of butter as x

there are 6 pieces of butter - then x * 6 = 6x

if we write an equation for the total cost

6x + bag of sugar = 3.8 lb

weight of bag of sugar = 1.4 lb

6x + 1.4 lb = 3.8 lb

6x = 3.8 - 1.4

6x = 2.4 lb

x = 2.4/6

x = 0.4 lbs

therefore weight of a piece of butter is 0.4 lbs

The weight of each piece of butter is \boxed{\bf0.4{\text{ lbs}}}.

Further explanation:

Given:

The total weight of 6 pieces of butter and the weight of a bag of sugar is equal to 3.8 lbs.

The weight of the bag of sugar is 1.4 lbs.

Our aim is to find the weight of each piece of butter.

Calculation:

Let the weight of each piece of butter to be x lbs.

Also consider the weight of a bag of sugar to be y lbs.

Then the weight of 6 pieces of butter is \boxed{6x}.

Therefore, the total weight of 6 pieces of butter and one bag of sugar is calculated as.

{\text{Total weight}}=6x+y

Given that total weight of 6 pieces of butter and one bag of sugar is equal to 3.8.

Now, the total weight in the form of an equation can be written as,

6x+y=3.8                                                               ……(1)

Since, the weight of one bag of sugar is equal to 1.4 lbs., then substitute 1.4 for y in equation (1) to obtain the value of x as follows:

6x+1.4=3.8

Subtract 1.4 on both sides of above equation as follows:

\begin{aligned}6x+1.4-1.4&=3.8-1.4\n6x&=2.4\n\end{aligned}

Now, divide both sides of above equation by 6 to obtain the value of x as follows:

\begin{aligned}\frac{{6x}}{6}&=\frac{{2.4}}{6}\nx&=0.4\n\end{aligned}

Therefore, the weight of each piece of butter is equal to \boxed{\bf0.4{\text{ lbs}}}.

Learn more:

1. Learn more about equations brainly.com/question/788903

2. Learn more about algebraic expression brainly.com/question/5533462

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Linear equations

Keywords: Weight, pieces, butter, bag, sugar, total, lbs., equations, algebraic equations, linear, subtract, 6x+y=3.8, x=0.4.

During a sale, The price of a sweater was changed from $20 to $16. What was the percent of the decrease in the price of the sweater?(Please show work:) )

Answers

$16/$20 = x%/100% (in a proportion)

Cross-multiply

1600 = 20x

Divide 1600 by 20

x = 80

80%/100%

Because you know the price decreased, you subtract 80 from 100 to find your answer

100 - 80 = 20% decrease in price

Hope this helps!

a boy is 24 years younger than his father. In 2 years time the sun of their ages will be 40. Find the present ages of father and son

Answers

ooh fun

x=boy
y=father
x+24=y
(x+2)+(y+2)=40
subsitute x+24=y into equation
x+2+x+24+2=40
add like terms
2x+28=40
subtract 28 from both sides
2x=40
divide both sides by 2
x=son now=20
father=son+24
father=20+24=44

father=44
son=20
Let the age of the boy be x.
Therefore the age of the father = x + 24.  (The boy is 24 years younger implies that 
                                                           his father is older by 24 years).

In 2 years time:
The boy will be = (x +2).
The father will be (x +24 +2) = (x + 26).

Sum of their ages = 40.
Therefore            (x+2) + (x + 26) = 40.
                           x + x + 2 + 26 = 40
                                      2x + 28 = 40
                                              2x = 40 -28
                                               2x = 12.
                                                 x = 12/2 = 6.    x =6.
Present ages =  x , x +24.  =  6,  (6 +24) =    6, 30.
Boy = 6 years old.
Father = 30 years old.
Cheers.

two unidentified flying discs are detected by a receiver, the angle of elevation from the receiver to each disc is 38.48 degrees. The discs are hovering at a direct distance of 826metres and 1.296km from the receiver. Find the difference in height between the two flying discs.

Answers

Answer:

292.45 m

Step-by-step explanation:

Both disk are at an angle of 38.48°

From the image below we calculate as,

For disk B, direct distance is 1.296 km from receiver = 1296 m

Vertical height from ground will be = 1296 x sin38.48 = 806.42 m

For disk A, direct distance is 826 m from receiver

Verival height above ground = 826 x sin38.48 = 513.97 m

Difference in height between disks is 806.42 - 513.97 = 292.45 m

in the first area model show 3 ninths. in the second area model show 2 sixths show how both fraction can be renamed as the same unit fraction

Answers

the can be renamed by multilying 3x2 and 2x3

Answer:

the can be renamed by multilying 3x2 and 2x3, You can also divide 2 to get the answer :)

At the car wash fundraiser jenna's team washed 14 cars in 45 minutes. if they keep up at that rate, how many cars can the team wash in 2.5 hours? how did you get the answer

Answers

i think the answer would be about 25 but i´m not real sure.