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2 years ago

A stack of 500 pieces of paper is 2.375 inches tall. Type complete answers to the questions below in the box.

Mathematics

1 answer:

grigory [225]2 years ago

7 0

Answer:

1. Diego is incorrect because 2.375 divided by 0.025 does not equal 500.

2. 2.375 / 500 = 0.00475 inches.

Step-by-step explanation:

1. We take the thickness of the stack and divide it by the thickness of each piece of paper to get how many pieces of paper are in the stack. In this case, Diego's guess indicates that there are only 95 pieces of paper in the stack.

2. The proper formula for this would question would be 2.375 / x = 500.

x represents the thickness of each piece of paper. We can solve for x by multiplying both sides by x to get 2.375 = 500x then we divide both sides by 500 to isolate x.

2.375 / 500 = x

0.00475 = x

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The average grain of salt is 0.0003 meters wide. Rhinovirus, which causes the common cold, is 0.00000003 meters wide. How many t

algol [13]

Answer:

$1\times 10^4\ times$

Step-by-step explanation:

Given:

Width of average grain of salt is, $w=0.0003\ m$

Width of Rhinovirus is, $W=0.00000003\ m$

Now, expressing each width in scientific notation form, we get:

$w=0.0003\ m = 3\times 10^{-4}\ m\\\\W=0.00000003\ m = 3\times 10^{-8}\ m$

Now, in order to get how many times 'W' is wider than 'w', we divide the two widths. This gives,

$\frac{W}{w}=\frac{3\times 10^{-4}\ m}{3\times 10^{-8}\ m}\\\\\frac{W}{w}=1\times 10^{-4-(-8)}=1\times 10^{-4+8}=1\times 10^4\\\\\therefore W=1\times 10^4\times w$

Therefore, the grain of salt is $1\times 10^4\ times$ wider than Rhinovirus.

5 0

3 years ago

1: A woman buys a car making a $3,000 down payment and then agrees to make 48 monthly payments of $360. What is the total cost o

katrin [286]

Answer:

1. $20280

2. 117 h

Step-by-step explanation:

to know the value of the car we have to add all the monthly payments with the $ 3000 that she paid at the beginning

x = car value

x = $3000 + 48 * $360

x = $3000 + $17280

x = $20280

The total cost of the car is $20280

To know how many hours I work in total we have to add the hours I work in each day 5 times with the 57 hours I work the following week

x = hours that work in all

x = 5 * 12 + 57

x = 60 + 57

x = 117

work for 117 hours in all

7 0

3 years ago

Read 2 more answers

16+ (-26) = -10<br> 9.-16+(-4)<br> - 16+(-4)=<br> 12<br> 3-(4)

Stels [109]

Answer:

The answer is -1.

Step-by-step explanation:

It is a little messy tho. I will assume that you want 3-(4)

6 0

3 years ago

Which of these statements are correct about a line segment with a length of 12 units in a coordinate plane? Select all that appl

Vitek1552 [10]

Correct statements are:

If it is reflected across the y-axis, its length still will be 12 units.

If it is rotated 270° about the origin, its length still will be 12 units.

If it is translated 15 units up, its length still will be 12 units.

<u>Step-by-step explanation:</u>

Whatever it may be rotation, reflection or translation, the size of the line will never change. So length of the line is same as 12 units in the image.

So the wrong statements are

If its reflected across y = -x then the length will no longer be 12 units.

If it is rotated 90° about the origin, then the length will no longer be 12 units.

If it is translated 18 units to the right, then the length will no longer be 12 units.

7 0

3 years ago

What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth.

navik [9.2K]

The length of the hypothenuse or the value of x is equal to 19.53

Data;

hypothenuse = x
adjacent = 11.2
opposite = 16

<h3>Pythagoras's Theorem</h3>

To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.

The formula for this is

$x^2 = y^2 + z^2\\$

Let's substitute the values and solve for the missing side

$x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53$

The length of the hypothenuse or the value of x is equal to 19.53

Learn more Pythagoras theorem here;

brainly.com/question/3317136

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2 years ago