Which property of multiplication is illustrated by this equation? 2/3×3/2 = 1

Answers

Answer 1

Answer: The property of multiplication illustrated by the equation 2/3 × 3/2 = 1 is the multiplicative inverse property or reciprocal property. According to this property, when you multiply a number by its reciprocal, the result is always 1. In this equation, 3/2 is the reciprocal of 2/3, and when you multiply these two fractions together, the product is 1.

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What is 12 17/35 as a whole number? Plz show work.

Answers

12 17/35

Sence 17/35 its less then half so it would just be 12

Beth filled 32 jars with paint. If each jar holds 1 pint of paint, how many gallons of paint did Beth use?

Answers

If you would like to know how many gallons of paint did Beth use, you can calculate this using the following steps:

1 jar ... 1 pint of paint
32 jars ... x pints of paint = ?

1 * x = 1 * 32
x = 32 pints of paint

1 gallon ... 8 pints
y gallons = ? ... 32 pints of paint

1 * 32 = 8 * y
32 = 8 * y /8
y = 32 / 8 = 4 gallons of paint

Result: Beth used 4 gallons of paint.

4 pints= 1 gallon
32 jars= 32 pints
32 pints/ 4 pints=8 gallons of paint

What is 9/10 take away 4/5

Answers

Get a common denominator.

9/10
4/5 = 8/10

9/10 - 8/10 = 1/10

Answer: 1/10

9/10= .9 4/5= .8 .9-.8=.1.1 is the answer to nine tenths minus four fifths

What is the average rate of change of f(x)=1/4x^2-4 over the interval from 0 to 3?

Answers

Answer:

1/4

Step-by-step explanation:

To find the average rate of change we find

f(3) -f(0)

----------

3-0

We need to find f(3) = 1/4 (3)^2 -4 = 1/4 (9) -4 = 9/4 -4 = -7/4

f(0) = 1/4 (0)^2 - 4 = -4

f(3) -f(0)

----------

3-0

-7/4 - (-4)

---------------

3-0

-7/4 +4

-----------

3-0

-7/4 +4

-----------

3-0

-7/4 +16/4

----------------

9/4

---------

9/12

1/4

Answer:

3/4

Step-by-step explanation:

The x values are 0 and 3. Use the formula y2-y1/x2-x1

Plug in the x factors into the orginal equation. Should look like the equations below:

f(x)=1/4(0)^2-4 -------> -4

f(x)=1/4(3)^2-4 --------> -7/4Now plug it in to the formula we saved earlier.

-7/4-(-4)/3-0= -7/4+4/3= -7/4+16/4/3

Then simplify it.

9/4/3, and in this case we have a fraction in a fraction and when this happens just multiply the equation by the x variables reciprical which in this case the x is 3 so the equation is multiplied by 1/3 and you would get 9/12. Now simplify that and you get 3/4.

Least to greatest 5/16,1/2,3/4,5/8,1/4

Answers

for this question you should know:
1/2 = 8/16
3/4 = 12/16
5/8 = 10/16
1/4 = 4/16
so now you can say:
4/16 < 5/16 < 8/16 < 10/16 < 12/16
so this is as same as:
1/4 < 5/16 < 1/2 < 5/8 < 3/4 :)))
i hope this is helpful
have a nice day

The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?a. 1 over 2
b. 2
c. negative 1 over 2
d. −2

Answers

Slope: -2

NOTE: The line perpendicular to line has a slope .

So your slope is - 1 over 2 (Answer a)

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