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stira [4]
4 years ago
14

Simplify (20a^5)(b^3)/(10a^9)(b^2)

Mathematics
1 answer:
vodomira [7]4 years ago
8 0

Answer: 2a^-4 * b^2

Step-by-step explanation:

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Suppose a is jointly proportional to b and c. if a=4 when b=8 and c = 9, then what is a when b=2 and c=18
asambeis [7]

From the given information, a exists jointly proportional to b and c.

then $$a \propto b c$

Therefore, the value of a exists 2.

<h3>What is the value of a?</h3>

Given, a exists jointly proportional to b and c.

$$a \propto b c$

Taking K as the constant of proportionality.

a = K b c

For b = 8 and c = 9, the value of a = 4

4 = K(8)(9)

4 = 72 K

Dividing the equation by 72, we get

$K=\frac{1}{18}

Using the value of K in the equation:

$a=\frac{b c}{18}

Substitute the values of b = 2 and c = 18, in the above equation

$a=\frac{2 \times 18}{18} \\

a = 2

Therefore, the value of a exists 2.

To learn more the value of x refers to:

brainly.com/question/11874663

#SPJ4

6 0
1 year ago
Which statement is always true? A. Square BCDF is a rectangle. B. Rectangle GJKM is a square. C. Quadrilateral STPR is a trapezo
Ivahew [28]

Answer:

Correct option is A

Step-by-step explanation:

Given some statements we have to choose the correct statement.

A. Square BCDF is a rectangle.

As we know, all the properties of rectangle satisfied by square. Therefore, we say that all squares are rectangles. hence, Square BCDF is a rectangle is true statement.

B. Rectangle GJKM is a square.

As explained in above, all the properties of rectangle satisfied by square but its converse is not true i.e all rectangles are not square. Hence, Rectangle GJKM is a square is not always true.

C. Quadrilateral STPR is a trapezoid.

All the properties of trapezoid are not satisfied by all quadrilateral hence, not always true.

D. Parallelogram ABCD is a rhombus

All the properties of rhombus are not satisfied by parallelogram like all sides of rhombus are congruent but parallelogram has only opposite sides congruent. hence, not always true.

Correct option is A.

8 0
3 years ago
Find the slope of the graphed line
Anna [14]

Answer:

4

Step-by-step explanation:

Pick two points on the line

(0,-5)  and (1,-1)

We can find the slope using

m = (y2-y1)/(x2-x1)

   = ( -1 - -5)/(1 - 0)

  (-1+5)/(1-0)

    4/1

  = 4

7 0
3 years ago
Please help. -----------------------------------------
Contact [7]

Answer:

D

Step-by-step explanation:

the equation tells you that 1 yard is 3 feet

so when you move one unit to the right on the x-axis, you should move three units up on the y-axis

3 0
3 years ago
Ben is 5 years less than 3 times Gracie's age. How can that be represented as an expression?<br>  
Tanzania [10]
You can write 5 times 3
7 0
3 years ago
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