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Gnom [1K]
4 years ago
15

Match the equivalent expressions without using a calculator. 3.5 × 10^5 3,500,000

Mathematics
1 answer:
Gnom [1K]4 years ago
8 0

The exponent is the number of spaces you need to move the decimal point.  positive exponent means you move the decimal point that may places to the right:

3.5 x 10^5

Move the decimal point 5 places to the right:

350,000.

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A survey of 391 children given at a local elementary school showed that 150 like chocolate ice cream 225 like pistachio ice crea
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The two largest lizards are the Gila Monster and the Chuckwalla. the average Gila Monster is 0.608 meter long. The average Chuck
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3 years ago
Jess is 12 years less than half as old as Mac. The sum of their age is 87. How old is each person?
laila [671]

Answer:

The age of each person is:

  • Jess is <u>21</u> years old.
  • Mac is <u>66</u> years old.

Step-by-step explanation:

To solve this problem you must make two equations. First, we name Jess and Mac as variables:

j = Jess age.

m = Mac age.

Now we make the equations, the first equation has the information "Jess is 12 years less than half as old as Mac":

1. j=(\frac{m}{2})-12

The second equation has the information "The sum of their age is 87":

2. j+m=87

Now, we replace the first equation in the second one:

  • (\frac{m}{2}-12) +m=87

And we operate:

  • \frac{m-24}{2} +m=87
  • \frac{m-24+2m}{2}=87
  • \frac{3m-24}{2}=87

We clear the variable m:

  • 3m-24=87*2
  • 3m=174+24
  • m=\frac{198}{2}
  • m=66

How we know Mac's age is 66 years old, we can identify Jess' age with the second equation:

  • j+m=87

We replace the value of m:

  • j+66=87

And clear the variable j:

  • j=87-66
  • j=21

In the end, Jess's age is 21 years old.

4 0
3 years ago
What is the volume of the cylinder shown below?
inna [77]

Answer:

Option A

radius = 13 units

height = 20 units

Volume of the cylinder = πr²h

= π (13)² ×20

=3380π cu. units

8 0
4 years ago
Read 2 more answers
Ellie made a cube-shaped cardboard box with side-length s. The area of cardboard she used is given by the formula A = 6s2, wher
xenn [34]
The correct question is 
<span>Ellie made a cube-shaped cardboard box with side-length s. The area of cardboard she used is given by the formula A = 6s2, where s represents the side length of the cube.

Which equation correctly solves the formula for s?

we know that
</span>A = 6s²---------> clear the variable s
s²=A/6------> applying square root both members
s=√(A/6)--------> s=(1/6)*√(6*A)
<span>
the answer is
</span>s=(1/6)*√(6*A)

4 0
3 years ago
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