The price of an item yesterday was 110. Today the price fell to 33 find the percentage decrease

Answers

Answer 1
Answer: The amount of the decrease is    (110 - 33) = 77

The decrease as a fraction of the original amount is  ( 77 / 110 ) .

As a decimal,  77/110 = 0.7 .

To change a decimal to a percent, move
the decimal point two places that way  ==> .

                                 0.7  ==>  70% .
Answer 2
Answer: 110-100%
33-x
X=30
100-30=70% is the answer

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Devide 7/24 by 35/48and reduce the quotient to the lowest fraction

Answers

to divide fraction you divide by the reciprocal of the number you are dividing by

so....
7/24 ÷ 35/48 = 7/24 * 48/35

then just simplify

Hope this helps!


What is multiplication properties. Example a number line that goes from 0-27. Using numbers 6,7,8 and 9.

Answers


 They are the commutative, associative, multiplicative identity and distributive properties.

 Commutative property: For example 6 * 7 = 7 * 6;

 
Associative Property:  For example (7 * 8) * 9 = 7 * (8 * 9);

 
Multiplicative Identity Property: For example 6 * 1 = 6 or, 1 * 6 = 6;

 
Distributive property:  For example 6 * ( 7 + 8) = 6 * 7 + 6 * 8 or,
( 7 + 8) * 6 = 7 * 6 + 8 * 6.

If rectangle is 8 feet long and (7+x) feet wide. what is the area of the rectangle in square feet?

Answers

if the length is 8ft and the width is (7+x) then the area would be 56+8x, if x is unknown.

In a refrigerator, there are 6 bottles of soft drinks (each a different brand) and 8 cans of juice (each a different type). How many combinations can be made with one soft drink and one fruit drink?a. 1
c. 36
b. 14
d. 48

Answers

The number of ways of choosing 1 soft drink from 6 soft drinks is 6C1 = 6!/((6-1)! * 1!) = 6!/(5!) = (6*5*4*3*2*1)/(5*4*3*2*1) = 6.

Similarly, the number of ways of choosing 1 fruit juice from 8 cans of juice is 8C1 = 8!/((8-1)! * 1!) = 8!/7! = 8

number of combinations of 1 soft drink AND 1 fruit drink = 6 x 8 = 48

Answer: D [48]

At a local fitness center, members pay an $8 membership fee and $4 for each aerobic class. Nonmembers pay $6 for each aerobic class. For what number of aerobics classes will the cost for members and nonmember be the same?

Answers

In the aerobics classes of 4 will the cost for members and nonmember be the same.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

At a local fitness center, members pay an $8 membership fee and $4 for each aerobic class.

And, Nonmembers pay $6 for each aerobic class.

Now,

We can formulate;

For members, the cost = $8 + 4x

Where, x is the aerobic class.

For nonmembers;

The cost = 6x

We can equate both the equation, we get;

6x = 8 + 4x

Solve for x as;

6x - 4x = 8

2x = 8

x = 4

Thus, In the aerobics classes of 4 will the cost for members and nonmember be the same.

Learn more about the mathematical expression visit:

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An aerobic lesson will be defined as 'a'
For every member lesson, they pay $4, so they will be represented as 4a
For every non member lesson, they pay $6, so they are 6a
Don't forget members have to pay $8 at the start, so they have to be 4a + 8
So
4a + 8 = 6a is our final equation
Move the 'a's to one side, by subtracting 4a from each side, giving you
8 = 2a
Divide by 2 to isolate a
4 = a
After 4 aerobics classes, the cost will be the same

What's the reciprocal of 7/9? a.48/15 b.16/15 c.9/7 d.14/18 ?

Answers

The reciprocal of a/b is b/a

The reciprocal of 7/9 is 9/7

If you are given a mixed number like 1 2/3, then first convert it to an improper fraction using:
a (b)/(c) = ((a* c) + b)/(c)

And then you find the reciprocal of it.

Your answer is C. 9/7.
9/7 is the reciprocal of 7/9