MATHEMATICS MIDDLE SCHOOL

64/81=(8/9) what is the exponent

Answers

Answer 1
Answer:

Answer:

2 is the exponent

Step-by-step explanation:

Given is an equation as

(64)/(81) =((8)/(9) )^m

and we have to find the exponent m

Since 64 and 81 are prime to each other we cannot simplify the fraction.

We find that both 64 and 81 are perfect squares of 8 and 9 respectively

Hence we write

(64)/(81) =((8^2)/(9^2) )\n(64)/(81) =((8)/(9) )^2

Comparing m =2
Answer 2
Answer: Hi 

x = exponent 

64 = 8·8 = 8^2
81 = 9·9 = 9^2

64/81 = 8^2/9^2 = (8/9)^2

(8/9)^2 = (8/9)^x
 
x = 2

Answer: The exponent is 2

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What is 1/3 times 3x

Answers


Look at it this way:

-- 1/3  of  3(quarts of oil)    =  1(quart of oil)
-- 1/3  of  3(days)               =  1(day)
-- 1/3  of  3(yards of yarn)  =  1(yard of yarn)
-- 1/3  of  3(bags of wool)   =  1(bag of wool)
-- 1/3  of  3(dairy cows)      =  1(dairy cow)
-- 1/3  of  3(bales of hay)    =  1(bale of hay )
-- 1/3  of  3(cups of coffee) =  1(cup of coffee)
-- 1/3  of  3(hours of TV)    =  1(hour of TV)
-- 1/3  of  3(cheesburgers) =  1(cheesburger)
-- 1/3  of  3(x's)                   =  1x
i believe the answer would equal to 1

Slope between (9,16) and (11,4)

Answers

Answer:

The equation of the line is y = -6x +70

Step-by-step explanation:

m is the gradient of the line:  m=(y_2 - y_1)/(x_2 - x_1)

So it is 12 ÷ -2 = -6

Then you substitute the value into the equation of a straight line and find the y-intercept.

Answer:

The answer: m=-6

Step-by-step explanation:

(9,16)-(11,4)

The perimeter of a rectangular field is 354 yards. If the width of the field is 82 yards, what is its length

Answers

Length is 95 yards.

The perimeter of a rectangle is the sum of four sides. The four sides are either its length or width.

A rectangle has four sides where its angles are all right angles and its opposite sides are congruent or of equal size.

Perimeter = 2length + 2width ==> P = 2L   + 2W

354 = 2L + 2(82)
354 = 2L + 164
to get the length. we must transfer all like signs.
2L = 354 - 164
2L = 190
2L / 2 = 190 / 2
L = 95 yards.
The answer of the length is 95

How do you write 900 in expanded form

Answers

well its
900+0+0
basically
like if it was
9,234
then it would be
9000+200+30+4
900+0+0 that is the answer to this question

The expression (8-3)^2-(5-2)^2 is equivalent to what numerical expression

Answers

(8-3)²-(5-2)²
Follow the PEMDAS
P-Parenthesis
E-Exponents
M/D-Multiplication/Division
A/S-Addition/Subtraction
clear the numerals in the parenthesis:
(5)²-(3)²
Now do the exponents:
=25-9
=16
Its just: (5)²-(3)²

What is the mode of the following numbers?8, 10, 8, 5, 4, 7, 5, 10, 88,10,8,5,4,7,5,10,88, comma, 10, comma, 8, comma, 5, comma, 4, comma, 7, comma, 5, comma, 10, comma, 8

Answers

The mode of this is 8,10, and 5

The answer to this is 10 and 5

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