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matrenka [14]
3 years ago
7

The annual expenditure of the US federal government is approximately 444 trillion dollars. If a one dollar bill is 0.00010.00010

, point, 0001 meters thick, how many meters tall would a stack of 444 trillion one dollar bills be? Write your answer in scientific notation. For reference: 111 trillion =10^{12}=10 12
Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0

Answer:

4*10^{7} meters.

Step-by-step explanation:

This question can be solved using a rule of three.

If a one dollar bill is 0.0001 meters thick.

So 1 dollar is 10^{-5}m tall.

How tall is 4 trillion one dollar bills?

1 trillion = 10^{12}

So 4 trillion = 4*10^{12}

Then

1 dollar - 10^{-5}m

4*10^{12} - xm

x = 4*10^{12}*10^{-5} = 4*10^{7}

The answer is 4*10^{7} meters.

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irinina [24]

Answer:

6. E

7. D

8. 5,-8,34

Step-by-step explanation:

A. Parallel to the y-axis and passes through the point (3,5)

For it to be parallel to the y-axis, what this means is that it has an x-intercept and no y intercept.

So what this means is that x = 3 is our line so E is correct

B. Perpendicular to the y-axis means it is parallel to the x-axis

It means is has no x intercept and thus its x value at any point in time is zero

So the equation is y = -5

or simply y + 5 = 0 which means D is correct

C. It is parallel to the line 5x -8y + 12 = 0

Thus: 8y = 5x + 12

dividing both sides by 8

y = 5x/8 + 12/8

y = 5x/8 + 3/2

y = 5x/8 + 1.5

Comparing this with the general equation of a straight line ;

y = mx + c

where m is that slope, this means that 5/8 is the slope of the line

Mathematically if two lines are parallel, they have equal slopes.

So we can say the slope of the other line too is 5/8

Now to find the equation of the other line, we can use the point-slope method

y-y1 = m(x-x1)

where (x1,y1) in this case is (-2,3)

So we have;

y-3 = m(x-(-2))

y-3 = 5/8 (x + 2)

8(y-3) = 5(x + 2)

8y -24 = 5x + 10

5x + 10 + 24 -8y = 0

5x -8y + 34 = 0

So A, B, C = 5, -8, 34

4 0
3 years ago
In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. a. A book costs $12.99, an
ArbitrLikvidat [17]

Answer:

$ 2.30

Step-by-step explanation:

Given that the sales tax rate = 8\frac{1}{2}\%=8.5\%

The cost of the book is $ 12.99.

So, the tax on the book= 8.5% of 12.99

= \frac {8.5}{100}\times 12.99

=1.10

So, the sales tax on the book is $ 1.10.

The cost of the video game is $ 39.99.

So, the tax on the book= 8.5% of 39.99

= \frac {8.5}{100}\times 39.99

=3.30

So, the sales tax on the book is $ 3.40.

The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30

So, the tax on the video game is $ 2.30 more than then tax on the book.

3 0
3 years ago
Find the perimeter or cm
kicyunya [14]

Answer:

The perimeter is 22.

Step-by-step explanation:

The perimeter formula (it sometimes varies) is 2(b+h)

b being base (in this example, 6)

h being height (in this example, 5)

So now, with substitution, we are left with:

2(6+5)

Which simplifies down to:

2(11)

22

8 0
3 years ago
Katherine and her children went into a bakery and where they sell cupcakes for $2.50 each and donuts for $1.25 each. Katherine h
yan [13]

Answer:the ration to x and b that equals c is about 3 dollars

Step-by-step explanation:

6 0
3 years ago
3.1 = x / 2 equals what?
neonofarm [45]

Answer: 6.2

Step-by-step explanation: 3.1 = x/2

x/2=3.1

x/2(2)=3.1(2)

x=6.2

3 0
3 years ago
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