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vodomira [7]
3 years ago
8

Please assist me with these scientific notation problems​

Mathematics
1 answer:
emmainna [20.7K]3 years ago
7 0

Answer:

The answer to your question is:

Step-by-step explanation:

1.-

Data

3.3 x 10 ⁴ pounds of paper

1.5 x 10³ pounds of aluminum

Amount of aluminum / amount of paper = 1.5 x 10³ / 3.3 x 10⁴

                                                                  = 0.045 times

                                                                 = 4.5 x 10 ⁻²

2.-

Data

1.2 x 10 ³ text messages in a month

text messages in a year = ?

                  1.2 x 10³ text messages -------------------  1 month

                     x                                   -------------------  12 months

                    x = (12 x 1.2 x 10³) / 1

                    x = 14400 text messages

                   x = 1.44 x 10⁴ text messages

3.-

Data

distance = 4 x 10⁶ miles I am not sure if the power is 6 or 8

speed = 1.6 x 10³ mi/h

Formula

              time = distance / speed

              time = 4 x 10⁶ / 1.6 x 10³

              time = 2500 h

              time = 2.5 x 10 ³ h

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Tell two ways the values of 318,274 and 138,524 are alike
qaws [65]
One way is they numbers both start in the hundred-thousands place
Another way is they both end in 4
Another way is they are both under 500,000
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4 0
3 years ago
Help plz
denis-greek [22]

Answer:

Step-by-step explanation:

length = 5 1/4 = 21/4 inches

Width = 2 1/2 = 5/2 inches

Height = 2 inches

Volume of rectangular prism = length * width * height

                     = \frac{21}{4}*\frac{5}{2}*2\\\\= \frac{21}{4}*5\\\\=\frac{105}{4}

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8 0
2 years ago
Read 2 more answers
Equivalent ratio for 5:9
vfiekz [6]
10:18 is an equivalent ratio.
5 0
3 years ago
Solve the system of equations
rewona [7]

Answer:

x = 1/4

y = -1/2

z = 9/4

Step-by-step explanation:

Here we have a system of 3 equations with 3 variables:

4*x + 2*y + 1 = 1

2*x - y = 1

x + 3*y + z = 1

The first step to solve this, is to isolate one of the variables in one of the equations, let's isolate "y" in the second equation:

2*x - y = 1

2*x - 1 = y

Now that we have an expression equivalent to "y", we can replace this in the other two equations:

4*x + 2*(2*x - 1) + 1 = 1

x + 3*(2*x - 1) + z = 1

Now let's simplify these two equations:

8*x - 1 = 1

7*x - 3 + z = 1

Now, in the first equation we have only the variable x, so we can solve that equation to find the value of x:

8*x - 1 = 1

8*x = 1 + 1 = 2

x = 2/8 = 1/4

Now that we know the value of x, we can replace this in the other equation to find the value of z.

7*(1/4) -3 + z = 1

7/4 - 3 + z = 1

z = 1 + 3 - 7/4

z = 4 - 7/4

z = 16/4 - 7/4 = 9/4

z = 9/4

Now we can use the equation y = 2*x - 1 and the value of x to find the value of y:

y = 2*(1/4) - 1

y = 2/4 - 1

y = 1/2 - 1

y = -1/2

Then the solution is:

x = 1/4

y = -1/2

z = 9/4

7 0
3 years ago
What is 4 multiplied by 5 7/9 as a mixed number or fraction
Andrei [34K]
The answer is 23 and 1÷9

First you multiply 4 by 5 and wind up with 20
Then you multiply four by 7÷9.
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You take out all the nines you can from 28, three in this case.
That gets you 27÷9 + 1÷9
Your total thing is 20+27÷9+1÷9
That equals 20+3+1÷9
That equals 23 and 1÷9
8 0
3 years ago
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