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Rainbow [258]
3 years ago
8

Consider 7×10^3. Write a pattern to find the value of the expression

Mathematics
2 answers:
kkurt [141]3 years ago
5 0

Answer:

7*10*10*10 = 7000

7*10 = 70

70*10 = 700

700*10 = 7000

Step-by-step explanation:

The given expression is:

7*10^3

Here 10^3 means that 10 will be multiplied 3 times:

7*10*10*10 = 7000

How did we get 7000?

7*10*10*10 = 7000

7*10 = 70

70*10 = 700

700*10 = 7000

We can also say that there are 7  1000s in 7000....

Strike441 [17]3 years ago
5 0

Answer: Hi! the notation 7×10^3 means 7*10*10*10, where 3 is the exponent.

You can think this notation as how many zeros you can add to the left (or right if the exponent is negative) of a number.

so 7×10^3 has an exponent equal to 3, so you add 3 zeros and get : 7000.

if we do the multiplication, 7*10*10*10 = (7*10)*10*10 = 70*10*10 = (70*10)*10 = 700*10 = 7000.

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Mikes movie Rentals Charge $3.00 for each rental plus $0.50 for each additional day. Reed's Rentals Charge $1.50 each rental plu
iris [78.8K]

Answer:

2

Step-by-step explanation:

What we need here is to express both charges trough equations, and then find out for which value these equations are equal.

Let X be the amount of additional days of rent.

So, Mikes Movie Rentals cost equations is:

CostMike = 3 + 0.5X

This implies that if there is no additional day (X=0), the cost is $3, if there is one additional day the cost is $3.5, for 2 days $4, and so on ...

Now lets find Reed's Rental cost.:

CostReed = 1.5 + 1.25X

And the interpretation is analogous to the one above. If there is no additional day, Reed's charge is $1.5, for 1 days $2.75, for 2 days $4

(Notice that with the examples I made about interpreting the equations I found out that for 2 days the cost of both is the same. Now lets find it analytically)

For finding the additional days that give the same costs we need to equal both equations:

3 + 0.5 X = 1.5 + 1.25 X

Lets subtract 1.5 from both sides:

3 - 1.5 + 0.5 X = 1.5 - 1.5 + 1.25 X

1.5 + 0.5 X = 1.25 X

Now subtract 0.5 X in both sides:

1.5 + 0.5 X - 0.5 X = 1.25 X - 0.5 X

1.5 = 0.75 X

Dividing both sides by 0.75:

1.5 / 0.75 = 0.75 X / 0.75

2 = X

So, for 2 additional days bith charges are equal.  

6 0
3 years ago
Suppose that you have $10,000 to invest. Which investment yields the greater return over 6 years:
inna [77]
5.5% quarterly would give you slightly more.

8 0
3 years ago
Find the solution of this system of equations<br> 4x - 5y = -12<br> -X + 5y = 18
Natalka [10]

4x - 5y = -12

-x + 5y = 18

Add the equations together:

4x + -x = 3x

-5y + 5y = 0

-12 + 18 = 6

So now you have:

3x = 6

Divide both sides by 3:

X = 2

Now you have the value of x, replace x with 2 in one of the equations and solve for y:

4(2) -5y = -12

8 -5y = -12

Subtract 8 from both sides:

-5y = -20

Divide both sides by -5:

Y = 4

The solution is x = 2 and y = 4 which is written as (2,4)

7 0
3 years ago
The distance from one edge of a circle to the center is 3ft.What is the circumference.Round to the nearest whole number.
Mila [183]
Well the radius is 3 so the diameter is 6 times that times pi and theres ur answer
3 0
3 years ago
EXPERTS PLEASE HELP!!!!!!!!!!!!!!
Arturiano [62]

Answer:

1. D

2. x=65

Step-by-step explanation:

Hi!

Your answer is D because 78 is 120% of x

120% in decimal point is 1.2.

So it's 1.2x is the same as 120% of x

For question 8:

1.2x=78

Isolate x by divide 1.2 on both sides

78/1.2=65

7 0
3 years ago
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