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NeTakaya
4 years ago
13

7x10 to the 3rd power, write a pattern to find the value of the expression

Mathematics
1 answer:
myrzilka [38]4 years ago
6 0
Scientific notation is used to express very large or very small values.
Numbers in scientific notation are written in the form of  
m × 10 to the power of n
For example:
500 is written as 5 x 10^2 where:
500 = 5 x 10 x 10

Now, let's consider 7 x 10^3:
Following the same procedure:
7 x 10^3 = 7 x 10 x 10 x 10 = 7000
The pattern can be written as:
7 x 10^3 = 7 x 10 x 10^2 
              = 70 x 10^2
              = 70 x 10 x 10^1
              = 700 x 10
              = 7000
You might be interested in
A bunch of neighborhood kids went on a hoke through the nature center. The total mileage they walked was 16 2/3 miles. If each k
juin [17]

Answer:

\large \boxed{4}

Step-by-step explanation:

\text{No. of students} = \dfrac{\text{Total distance}}{\text{Distance per student}}

\begin{array}{rccl}16\frac{2}{3} \div4\frac{1}{6}& = & \dfrac{50}{3} \div \dfrac{25}{6} & \text{Mixed numbers to improper fractions}\\\\ & = & \dfrac{50}{3} \times \dfrac{6}{25} & \text{Inverted 2nd fraction and changed to multiply}\\\\ & = & \dfrac{2}{3}\times \dfrac{6}{1} & \text{Cancelled the 25s}\\\\ & = &\dfrac{2}{1}\times \dfrac{2}{1} & \text{Cancelled the threes}\\\\ & = &\mathbf{4} & \text{Multiplied the fractions}\\\end{array}\\\large \boxed{\textbf{Four}} \text{ students went on the trip.}

7 0
3 years ago
Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for $532
IgorC [24]
The answer is chicken $8, duck $5

x - the cost of a chicken
y - the cost of a duck

<span>he sold 50 chickens and 30 ducks for $550: 50x + 30y = 550
</span><span>he sold 44 chickens and 36 ducks for $532: 44x + 36y = 532

</span>50x + 30y = 550                divide by 10
44x + 36y = 550                 divide by 4
______________
50x/10 + 30y/10 = 550/10
44x/4 + 36y/4 = 532/4
______________
5x + 3y = 55                                    Multiply by (-3)
11x + 9y = 133
______________
5x * (-3) + 3y * (-3) = 55 * (-3)
11x + 9y = 133
______________
-15x - 9y = -165
11x + 9y = 133
______________
Sum up:
-4x + 0y = -32
-4x = -32
x = -32/-4
x = 8


Since 5x + 3y = 55  and x = 8, then:
5 * 8 + 3y = 55
40 + 3y = 55
3y = 55 - 40
3y = 15
y = 15/3
y = 5
5 0
3 years ago
Read 2 more answers
Determine if the expressions are equivalent: 7+ 7x; 7 x + 1/7
patriot [66]

<u>The given  expressions  7+ 7x ; 7 x + 1/7 are not equivalent or equal </u>

<u>to each other </u>

<u />

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

Let us firstly assume that  7 + 7x is equivalent ( to 7(x + 1/7) so that means

7 + 7x = 7(x + 1/7)

7 + 7x = 7x + 7(1/7)

7 + 7x = 7x + 1

7x + 7 = 7x + 1

Now, subtracting 7x from both sides, we get:

7x - 7x + 7 = 7x - 7x + 1

(7 - 7)x + 7 = (7 - 7)x + 1

(0)x + 7 = (0)x + 1   thus their occurs a  false statement:

7 = 1 ( we know, 7 >1)

Thus we can say that

<u>7 + 7x is NOT equivalent  to 7(x + 1/7)</u>

5 0
3 years ago
Please Help Me ASAP Will Thank Rate 5 Starts And Mark Brainliest If You Are CORRECT
Ivan

Answer:

The correct option is 4.

Step-by-step explanation:

It is given that figure ABCD is transformed to figure A′B′C′D′.

The vertices of ABCD are A(1,1), B(3,3), C(4,2) and D(4,1).

The vertices of A'B'C'D' are A'(1,-3), B'(3,-1), C'(4,-2) and D'(4,-3).

It is clear that the figure translate 4 units down and the rule of translation is

Translation is a rigid transformation, it means image and preimge are congruent.

Since ABCD is translate 4 units down to make A′B′C′D′, therefore

Congruent part of congruent figures are congruent.

                 

Therefore the correct option is 4.

I Hope It's Helpful :)

4 0
3 years ago
Read 2 more answers
A rectangle has a length that is 9 inches less than twice its width. The area of the rectangle is 180 square inches.
k0ka [10]

Answer:

Step-by-step explanation:

a) Let the width = w

Two times its width = 2*w = 2w

9 inches less than 2w = 2w - 9

Length = 2w - 9

Area of rectangle = length *width = 180 square inches

(2w - 9 ) * w = 180

2w*w - 9*w = 180

2w² - 9w - 180 = 0

b) sum = -9

Product= -360

Factors  = -24 , 15    {15 *[-24] = -360 and 15 + (-24) = -9 }

2w² - 9w - 180 = 0

2w² - 24w + 15w - 180 = 0

2w(w - 12w) + 15(w - 12) = 0

(w -12) (2w + 15) = 0

{Ignore 2w + 15 = 0 as measurements cannot be a -ve value}

w - 12 = 0

w = 12 inches

l = 2w -9

 = 2*12 - 9

= 24 - 9

l = 15

length = 15 inches

Width = 12 inches

c) Perimeter = 2 *(length + width)

                     = 2*(15 + 12)

                     = 2 * 27

                     = 54  inches

5 0
3 years ago
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