Mathematics Middle School

In 1987, the population of the United States was approximately 2.44 x 108 people. The national debt of the United States in that year was approximately 2.50 x 1012 dollars. In scientific notation, how much debt is this per person?

 A) 1.0246 x 10−4 dollars

B) 1.0246 x 1020 dollars

C) 1.0246 x 108 dollars

D) 1.0246 x 104 dollars

Answers

Answer 1
I just did this question and the answer was 

1.0246 x 10^4 dollars

Related Questions

My numbers has two hundreds the tens digits is 9 more than the ones what is my number

Answers

The answer for your question is: 290

There are 3 islanders fans for every 11 ranger fans. what is the ratio of islander fans to total fans at the game

Answers

So a ratio would be:

variable 1 : variable 2

So in this case, variable 1 would be islander fans, and variable 2 would be total fans.

Total fans would be 3 fans + 11 fans, or 14 fans.

So, it would therefore be:

3:14.

(There would be more fans, but the ratio would still stay the same.)

For what value of x will 55 and x have the mean (average) as 67

Answers

if (55 + x)/2 is to be 67, then 55+x = 2*67, so x = 2*67 - 55 = 79
To calculate the mean of two numbers you add them together and divide the sum by 2.
We can set up an equation for this problem: (x+55)/2 = 67

Now we need so solve for x: (x+55) = 67x2
x+55 = 134
x = 134-55
x = 79

Hope this helps, and May the Force Be With You!

-Jabba

Kali had some candy to give to her five children. she first took seven pieces for herself and then evenly divided the rest among her children. each child received two pieces. with how many pieces did she start with?

Answers

If it is including herself then Kali would've started with 17 pieces of candy. But if it isn't herself then she would've started with 10 pieces of candy. Hope that helps.

A tailoring shop determines that for certain dress sizes it must use 4 3/8yd of fabric that is 45 in wide. To make the same dress with fabric that is 60 in wide, it needs 3 1/4 yd. convert 4 3/8 and 3 1/4 to fraction notion.

Answers

4 3/8  =  (4*8 + 3) / 8  =  35/8

3 1/4  = (4*3 + 1) / 4  = 13/4 

meow aka hi ummmm what is the square root of 232

Answers

approx. 15.23 is the square root of 232. (15.2315462117)

Answer:

15.2315462117

Step-by-step explanation:

You have to divide the number evenly.

56.4 as a fraction in simplest form

Answers

56.4 *10 = 564

564/10 =

282/5 in simplest form

1/9 rounded to the nearest 1/2.

Answers

Final answer:

1/9 rounded to the nearest 1/2 is 0 because it is closer to 0 than to 1/2.

Explanation:

When rounding 1/9 to the nearest 1/2, consider the fractions between 0 and 1 that are multiples of 1/2, which are 0 (or 0/2) and 1/2. Since 1/9 is closer to 0 than it is to 1/2, 1/9 rounded to the nearest 1/2 is 0. If you're trying to visualize this, picture a pie: 1/9 of a pie is a smaller slice than 1/2 of a pie.

To round a number to the nearest 1/2, you would choose the nearest fraction that is a multiple of 1/2. In this case, 1/9 is less than 1/4 (which is half of 1/2), hence it rounds down to 0, which represents no pie at all compared to half a pie.

Which equation is equivalent to 2^4x = 8^x-3

Answers

Answer:

x = -9

Step-by-step explanation:

[tex]8=2^3\\\\8^{x-3}=(2^3)^{x-3}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\8^{x-3}=2^{3(x-3)}\qquad\text{use the distribtutive property}\ a(b+c)=ab+ac\\\\8^{x-3}=2^{3x-9}\\\\\text{Therefore}\\\\2^{4x}=8^{x-3}\Rightarrow2^{4x}=2^{3x-9}\iff4x=3x-9\qquad\text{subtract}\ 3x\ \text{from both isdes}\\\\4x-3x=3x-3x-9\\\\x=-9[/tex]

Answer:2^4x = 8^x-3

Step-by-step explanation:Answer is D

Gary’s is a small publishing company that publishes math books. The production costs include a one-time cost for editing the book, which is $1,050 for the book the company is currently working on (The Universe of Math). Once the book is in production, the only cost will be the variable cost of printing, which is $15 per book. The company will market the book at a price of $35. If you were to plot a graph of the profit generated by this book, what would the slope and the y-intercept represent?

Answers

 $1,100 would be represented

Answer:

The y- intercept is -1,050 and the slope of the graph is 20.

Step-by-step explanation:

Consider the provided information.

The slope intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y intercept.

The production costs include a one-time cost for editing the book, which is $1,050.

We need to find the y-intercept, here the y-intercept is the one-time cost of editing the book.

As we want to plot a graph of the profit so the cost will represented as negative.

Therefore, b = -1,050

Hence, the y- intercept is -1,050.

Now again consider the provided information.

The company will market the book at a price of $35 but it is given that the cost of printing, is $15 per book.

Thus, the slope is the difference of the selling price and production cost.

Or we can say that the slope is the profit per book sold.

Slope = m = 35 - 15 = 20

Hence, the slope of the graph will be 20.

The required equation of the graph is y=20x-1050

Chelsie saves 1/5 of her allowance and spends 2/3 of her allowance at the mall. What fraction of her allowance remains? Explain.

Answers

1-(1/5+2/3)

Get a common denominator

1-(3/15+10/15)

Add the two fractions together

1-(13/15)

Turn the 1 into a fraction

15/15-13/15

Subtract the two fractions

2/15 is how much of her allowance remains
15/15=3/15+10/15+x
2/15=x

It takes 40 min for a bus to travel the 36 miles from Framingham to Worcester. A car traveling from Worcester to Framingham moves 1.5 times as fast as the bus. If the car and the bus start moving towards each other simultaneously, after how many minutes will they meet?

Answers

First we should find the speed of the bus. v = distance / time v = 36 miles / 40 min v = 0.9 miles per minute The car move 1.5 times as fast as the bus. The speed of the car is (1.5) (0.9 mi / min) = 1.35 mi / min The combined speed of the bus and the car is 2.25 mi / min. That means that they cover a combined distance of 2.25 miles each minutes. We can find the time it takes to cover 36 miles. time = 36 miles / (2.25 miles / min) time = 16 minutes The car and the bus will meet after 16 minutes.

What did the athlete order when he needed a huge helping of mashed potatoes? Unscramble the following letters: p, p, r, o, m, n, t, o, i. The answer would be a
_ ___ _______!?

Answers

i think the answer is portion 

I think it is proportion

Harry buys an TV priced at £1200 plus 20% VAT he pays £300 deposit and the balance in ten equal monthly payments calculate each monthly payment

Answers

1200 +29%= (1200+240)=1440
1440-300=1140
1140÷10=114
so the answer is £114 per month for 10 months

Suzanne bought 50 apples at the orchard. She bought 4 times as many red then green apples. How many more red then green apples did she buy.

Answers

so you to solve this you want to divide 50 by 4

50 divided by 4 equals 12.5
so she bought 12.5 and a green apples

now we want to subtract 12.5 from 50
50-12.5=37.5

our final step is to subtract 12.5 from 37.5 to find the difference
37.5-12.5=25

she bought 25 more red apples than green apples

I hope this helps! :)

Suzanne bought 30 more red apples than green apples.

Given that Suzanne bought 50 apples, which are 4 times as many red then green apples.

We need to find how many more red apples then green apples did she buy.

To find the number of red and green apples Suzanne bought, we can set up an equation based on the information given.

Let's assume that Suzanne bought x green apples. Since she bought 4 times as many red apples as green apples, she must have bought 4x red apples.

According to the problem, Suzanne bought a total of 50 apples. So we can write the equation:

x (green apples) + 4x (red apples) = 50

Combining like terms, we have:

5x = 50

To solve for x, we divide both sides of the equation by 5:

x = 10

Now we know that Suzanne bought 10 green apples. To find the number of red apples, we can substitute this value back into our equation:

4x = 4 × 10 = 40

Suzanne bought 40 red apples.

To find the difference between the number of red and green apples, we subtract the number of green apples from the number of red apples:

40 (red apples) - 10 (green apples) = 30

Hence Suzanne bought 30 more red apples than green apples.

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What does y equal ?
4y^2= 5.76
y =

Answers

the answer is 1.2. 
so you divid 5.76 by 4, and get 1.44, and then find the square root of 1.44 which is 1.2 
Take the square root of each side and y = {-1. 2, 1. 2}hope this helps :-)

What is the greatest common factor of 8 and 52

Answers

The greatest common factor of 8 and 52 is 2.

8:   222  50:   2  55GCF:   2   

The Greatest Common factor is 2

what is the distributive property for 8 times 19

Answers

The distributive property: a(b + c) = ab + ac

8 × 19 = 8 × (20 - 1) = 8 × 20 - 8 × 1 = 160 - 8 = 152

A batch of cookies requires 1 1/2 of sugar. How many batches can Ty make with 7 and 1/2 cups of sugar

Answers

1 1/2 = 3/2. 7 1/2 = 15/2

15/2 divided by 3/2 = 5 batches of cookies

Pencils come in a pack of 8 for $1.12. How much is each pencil?

Answers

14 cents
Divide 1.12 by 8 to find each individual pencils value.
Each pencil is $.14. You find the unit rate by dividing the amount you paid by the number of pencils you have.
[tex]1.12 \div 8[/tex]

Elizabeth has budgeted $3,000 for food. If she decides to serve an additional side and a salad, can she choose the meal with two meats and stay within her budget?

Answers

No she could not afford the two meats along with the additional side and salad.

Lines A and B are graphs of a system of equations with no solutions? Which of the following statement is NOT true?

Please explain if u can!

Answers


B. Because just because one thing is on one point doesn’t mean it’s necessary on the next point
Every point on Line A is also on Line B that's not true because the points are not always on each other

Use the distributive property to expand the expression. (5x + 6y) − (3z + 4)

Answers

5x + 6y - 3z - 4

the negative makes everything in the second set of parentheses negative 

5x + 6y − 3z − 4

Because


(5x + 6y) − (3z + 4)

(5x + 6y) + (−1)(3z + 4)

5x + 6y + (−1)(3z) + (−1)(4)

5x + 6y − 3z − 4

Three friends spent 42 hours painting a neighbor’s house. John painted 1/3 of the time, Lenny worked 3/7 of the time, and Abby painted the rest of the time. how many hours did each friend paint? What would happen If another friend joined them, and they divided the work up evenly among them, how much more, or less, would John, Lenny and Abby each have painted?

Answers

John painted for 14 hours, Lenny for 18, and Abby for 10. If another friend joined and they split the hours equally, they each would have to work for 10 1/2 hours. John would paint 3 1/2 fewer hours, Lenny would have painted 7 1/2 fewer hours, and Abby would paint 1/2 hours more.
We are told to first find the number of hours each friend worked. The question gives us that they all worked a total of 42 hours and that John worked 1/3 of the time, Lenny worked 3/7 of the time, and finally that Abby worked the rest of the time. Let's first find how long John worked. We can do this by multiply 42 by 1/3, which gives us 14. Therefore, John worked 14 hours. Now, we can find how long Lenny worked, and we can do this by multiplying 42 by 3/7, giving us 18 hours.  Hence, John and Lenny worked a total of 32 hours. That leaves 10 hours, meaning that Abby worked a total of 10 hours. The answer to the first question is that John worked 14 hours, Lenny worked 18 hours, and Abby worked 10 hours.

Now, we can move on to the second question. The second question says that another friend joined them, making 4 people total. We are given that all four people split up the work evenly, so that means we have to divide 42 by 4, giving us 10.5 hours each. The question is asking us how much more or less Abby, Lenny, and John worked when the new friend cam in. So, to find this, we need to just subtract the number of hours each of them worked, which is our answer.
John: 
14 - 10.5 = 3.5 less hours (we are subtracting from the original)
Lenny:
18 - 10.5 = 7.5 less hours (we are subtracting from the original work amount)
Abby:
10.5 - 10 = 0.5 more hours (we are subtracting from the new work amount)

Therefore, John worked 3.5 hours less than he worked before, Lenny worked 7.5 hours less than he worked before, and Abby worked 0.5 hours more than she worked when there were only three people. Hope this helped and have a phenomenal day!


Helppppp pleaseeeeeee fasttttt

Answers

The solution is where the two lines intersect 

The x-value is between 0 and 1

The x-value to the nearest tenth is 0.6

The y-value is between 2 and 3

The y-value to the nearest tenth is 2.2

When 2246 is subtracted from twice a certain number, the result is 10,000. What is the number?

Answers

X=6124

2x-2246=10000
+2246 +2246
2x=12246
---- --------
2 2
X= 6124

The number is 6123.

Given,

When 2246 is subtracted from twice a certain number, the result is 10,000.

We are to find the number.

Let the number be M.

Now,

"When 2246 is subtracted from twice a certain number"

It can be written as:

2M - 2246

"the result is 10,000".

It can be written as,

2M - 2246 = 10,000

Now,

We have.

2M - 2246 = 10000

Solve for M.

2M - 2246 = 10000

2M = 10000 + 2246

2M = 12246

M = 12246 / 2

M = 6123

Thus the number is 6123.

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how to solve this kind of question?

Answers

96 degrees.

x is the opposite angle to one of the interior angles in the quadrilateral. The interior angles to the quadrilateral are.
1. For the pentagon 180-108 = 72 degrees
2. For the hexagon 180-120 = 60 degrees
3. For the angle with both hexagon and pentagon = 360 - 180 - 120 = 132
4. For the opposite angle to x, since it's the last of the 4 angles in the quadrilateral  will be 360 - 72 - 60 - 132 = 96 degrees

And since x is opposite this 4th angle, it too will have the value 96 degrees.

96 degrees Looking at the diagram, you have a regular pentagon on top and a regular hexagon on the bottom. Towards the right of those figures, a side is extended to create an irregularly shaped quadrilateral. And you want to fine the value of the congruent angle to the furthermost interior angle. So let's start. Each interior angle of the pentagon has a value of 108. The supplementary angle will be 180 - 108 = 72. So one of the interior angles of the quadrilateral will be 72. From the hexagon, each interior angle is 120 degrees. So the supplementary angle will be 180-120 = 60 degrees. That's another interior angle of the quadrilateral. The 3rd interior angle of the quadrilateral will be 360-108-120 = 132 degrees. So we now have 3 of the interior angles which are 72, 60, and 132. Since all the interior angles will add up to 360, the 4th angle will be 360 - 72 - 60 - 132 = 96 degrees. And since x is the opposite (or congruent) angle to this 4th interior angle, it too has the value of 96 degrees.

QUESTION WORTH 20 POINTS, ANSWER A.S.A.P.!!!!!!!!!!!!!

The charges for two shuttle services are shown in the table. Find the number of miles for which the cost of both shuttles is the same.

                  Pickup Charge ($)            Charge per Mile ($)
-----------------------------------------l--------------------------------------------
Easy Ride:  $10                        l          $0.10
-----------------------------------------l--------------------------------------------
Best:           $0                          l          $0.35
-----------------------------------------l--------------------------------------------

Answers

At 40 miles, they will each cost $14

The number of miles for which the cost of both shuttles is the same is 40.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The charges for two shuttle services are shown in the table.

m=0-10/0.35-0.10

=10/0.25

Ten divided by zero point two five is 10 by one divided by 4.

=40 miles

Hence, the number of miles for which the cost of both shuttles is the same is 40.

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Explain why 1.55 centimeters is a reasonable answer for the difference in the wingspans of the two butterflies

Answers

The difference is referring to subtraction, so the question was most likely something like how much longer is this butterflies wings than this ones. so 4.55 might be one of the lengths and 3 might be the other, so 4.55 - 3 is 1.55.

Timothy began the week with $35. He bought lunch at school, paying $2.25 for each meal. Let x be the number of meals he bought at school and y be the amount of money he had left at the end of the week. Which equation represents the relationship in the situation?

Answers

35 - 2.25x = y Hopefully this is helpful!

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