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PilotLPTM [1.2K]
3 years ago
7

A grain of sand weighs about 1 x 10 g.

Mathematics
1 answer:
gulaghasi [49]3 years ago
7 0

Answer:

7.5\cdot 10^9 g

Step-by-step explanation:

In this problem, we are told that the mass of 1 grain of sand is:

m=1\cdot 10^1 g

The total mass of N grains of sand will be therefore

M=Nm

where

N is the number of grains of sand

M is the total mass

Here we have a number of grains of sand equal to

N=7.5\cdot 10^8

Therefore, the total mass of the grains of sand is:

M=(7.5\cdot 10^8)(1\cdot 10^1 g)=7.5\cdot 10^9 g

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If y varies inversely with x and y=2 when x=5, what is the value of x when y=3?
Nostrana [21]

Answer:

Step-by-step explanation:

Method

Inversely in this sentence means

y = k/x    

So you first step is to find the value of k. You do that by setting up an inverse relationship with y = 2 , x = 5

2 = k/5                     Multiply both sides by 5

2*5 = 5*k/5

10 = k

Now you are able to answer the question.

  • k = 10
  • y = 3
  • x = ?

y = 10/x

3= 10/x                      Multiply both sides by x

3*x = x * 10/x

3x = 10                      Divide both sides by 3

3x/3 = 10/3

x = 3.33 or x = 3 1/3

Answer

x = 3.33 or x = 3  1/3

8 0
2 years ago
The greater of two consecutive integers is seven less than one-third the smaller integer. Find the integers
ikadub [295]

Answer:

Step-by-step explanation:consecutive integers are represented by x, x+1 ,  so for this problem the greater one is represented by x + 1.

Now you need to translate the problem.  the greater is  seven less than 1/3 the smaller

--->  x + 1 = (1/3)*x - 7 --->  now solve for x (the smaller) and x+1  (the greater)

***hint:  to get rid of fractions in an equation you can always multiply EVERYTHING by the denominator , 3 in this case

8 0
2 years ago
PLEASE HELP ME QUICKLY
mr Goodwill [35]

Answer:

It would be 6.8

8 0
3 years ago
Read 2 more answers
Xin Used 20 yards of fencing to build the walls of a square a chicken coop. Used 20 yards of fencing to build the walls of a squ
Gnoma [55]

Answer:

Equation: 20=4x or x=\frac{20}{4}

Solution: x=5

Step-by-step explanation:

The formula that is used to calculate the perimeter of  a square is:

P=4s

Where "s" is the side lenght the square.

Knowing that Xin used  20 yards of fencing to build the walls of a square chicken coop (in which the lenght in yards of each wall is represented with "x"), you can identify that:

P=20\\\\s=x

Then, you can susbtitute values into the formula P=4s:

20=4x

Finally, you must solve for "x" in order to find its value.

This is:

\frac{20}{4}=x\\\\x=5

6 0
3 years ago
there are 8 quarts in a peck and 4 pecks in one bushel.What is the first thing you need to do if you are asked to find how many
emmasim [6.3K]

Answer: 96

Step-by-step explanation:

6 0
3 years ago
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