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Galina-37 [17]
3 years ago
10

Simplify this expression leaving your answer in index form​

Mathematics
1 answer:
kenny6666 [7]3 years ago
3 0

Answer:

solution is 9a^16

Step-by-step explanation:

(6)^2= 36

(a^5)^2= a^25

36a^25/(9a^9)

(36/9)= 4

(a^25)/(a^9)= a^(25-9)= a^16

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The teacher passed out math books.The length is 10 inches and the width is 8 inches.What is the perimeter of each book?
miv72 [106K]

Answer:  The perimeter of each book is:  " 36 in. " .

__________________________________________________

Step-by-step explanation:

__________________________________________________

Note that the given units are all in "inches (in.)" .

Use the formula for the "perimeter of a rectangle" ;

{which happens to work for a "square" as well;

          since a "square" is a rectangle.}.

__________________________________________________

This is based on the assumption that the book is shaped like a

"rectangle"  (or "square" —which is a rectangle).

__________________________________________________

The formula for the Perimeter of a rectangle is:

  P = 2 L  + 2 w  ;

in which:

P =  the perimeter of the rectangle;

for which we shall solve;   [in "inches (in.)" ] ;

L =  the length of the rectangle = 10 in. (given) ;

w = the width of the rectangle = 8 in. (given) .

___________________________________________________

Now, plug the given values for the "length (L)" and the "width (w)" ;

 as follows:

___________________________________________________

    P = (2 * 10 in.)  +  (2 * 8 in.)  ;

    P = (20 in.)  +  (16 in.)  ;

   P = 36 in.

___________________________________________________

Answer:  The perimeter of each book is:  " 36 in. " .

___________________________________________________

Hope this helps!

    Best wishes in your academic pursuits

            — and within the "Brainly" community!

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3 0
3 years ago
Please solve both of these with how you solved them.
Paladinen [302]

Answer:

a. (2,5)

b. (14,15.5)

Step-by-step explanation:

a.

y=4x-3

y=-2x+9

Set both equations equal to each other to solve for x.

4x-3=-2x+9

6x=12

x=2

Plug in x to solve for y.

y=4x-3

y=4(2)-3

y=8-3

y=5

(2,5)

b.

y=(5/4x)-2

y=(-1/4x)+19

Set both equations equal to each other to solve for x.

(5/4x)-2=(-1/4x)+19

4((5/4x)-2=(-1/4x)+19)

5x-8=-x+76

6x=84

x=14

Plug in x to solve for y.

y=(5/4x)-2

y=(5/4(14))-2

y=17.5-2

y=15.5

(14,15.5)

6 0
2 years ago
3. Jolene gets paid 17 cents a tree for tree planting up north. In one week she planted 2437 trees. What i
mafiozo [28]

Answer:

Wage of Jolene is 414.29 dollars per week

Step-by-step explanation:

Amount received by Jolene for planting a tree is 17 cents

Given

Total amount of trees planted in a week =   2437

Wage of Jolene is equal to product of number of trees planted and amount paid for planting one tree

Wage of Jolene

= 2437  * 0.17\\= 414.29Dollars

4 0
2 years ago
6=m-7/8<br> please help me pleaaaaaaaase
AlladinOne [14]

Answer:

m = 55/8 = 6.875

Step-by-step explanation:

Step by step solution :

Step  1  :

           7

Simplify   —

           8

Equation at the end of step  1  :

            7

 6 -  (m -  —)  = 0  

            8

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  8  as the denominator :

         m     m • 8

    m =  —  =  —————

         1       8  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

3 0
3 years ago
What solid figure is shown below? triangular pyramid square pyramid rectangular prism cylinder
Gennadij [26K]

RECTANGULAR PRISMS

also known as cuboids ....are all around us. A few of the examples are books, boxes, buildings, bricks, boards, doors, containers, cabinets, mobiles, and laptops.

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5 0
3 years ago
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