MATHEMATICS MIDDLE SCHOOL

Thomas bought a desk with a retail sales price of $129 and paid $10.32 sales tax. What is the sales tax rate where Thomas bought the desk?

Answers

Answer 1

Answer: 8% because 129x0.08=10.32

Answer 2

Answer:

Answer:Tax Rate = 7.75%

Step-by-step explanation:

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180 product of a prime factor using indices

Answers

Start with 180.
Is 180 divisible by 2? Yes, so write "2" as one of the prime factors, and then work with the quotient, 90.

Is 90 divisible by 2? Yes, so write "2" (again) as another prime factor, then work with the quotient, 45.

Is 45 divisible by 2? No, so try a bigger divisor.
Is 45 divisible by 3? Yes, so write "3" as a prime factor, then work with the quotient, 15

Is 15 divisible by 3? [Note: no need to revert to "2", because we've already divided out all the 2's] Yes, so write "3" (again) as a prime factor, then work with the quotient, 5.

Is 5 divisible by 3? No, so try a bigger divisor.
Is 5 divisible by 4? No, so try a bigger divisor (actually, we know it can't be divisible by 4 becase it's not divisible by 2)
Is 5 divisible by 5? Yes, so write "5" as a prime factor, then work with the quotient, 1

Once you end up with a quotient of "1" you're done.

In this case, you should have written down, "2 * 2 * 3 * 3 * 5"

The answer is 2•2•3•3•5

How can I solve 8 5/6 - 2 1/3=

Answers

You turn 8 5/6 and 2 1/3 into improper fractions (8 5/6 becomes 53/6 and 2 1/3 becomes 7/3)

Then you take 53/6 and 7/3 and find a common denominator which is 6
Then you multiply 7x2 and 3x2 which equals to 14/6

53/6 - 14/6 is 39/6
You can leave it as 39/6 or change it into a mixed number, if you make it a mixed number then you would get 6 3/6 which is equivalent to 6 1/2.

There is another method than what the other user has pointed out (both are valid and are up to personal preference as to which are better)

For this method you need to make sure that both the denominators are the same.

(See attached image)

I hope this makes sense!

As a summary; you must make sure that both denominators of the fractions are the same. Whatever number you multiply by for the denominator, use also for the numerator.

adbell had m pieces of candy and ate 5 of them. then he split the remaining candy equally among 4 friends

Answers

the anwser is 5m divided by 4

write three ratios that are equivalent to the one given:the ratio of right of right-handed students to left-handed students is 18:4.

Answers

The three equivalent ratios are 27/6, 45/10, and 36/8.

Given,

The ratio of right-handed students to left-handed students is 18:4.

We need to find three equivalentratios of 18:4.

What is a ratio?

A ratio is denoted by A:B.

If the ratios are equal we called it proportion.

Example:

2/4 = 16/32 = 6/12

2/4 = 1/2

16/32 = 2/4 = 1/2

6/12 = 1/2

2/4, 16/32, and 6/12 are equivalent ratios and they are in proportion.

We have,

18:4

It can be written as:

= 18/4

Reducing it to the smallest term.

= 2 x 9 / 2 x 2

= 9 / 2

So,

We can have,

27/6, 45/10, and 36/8 as our equivalentratios.

27/6 = 3 x 9 / 3 x 2 = 9/2

45/10 = 5 x 9 / 5 x 2 = 9/2

36/8 = 4 x 9 / 4 x 2 = 9/2

Thus the three equivalent ratios are 27/6, 45/10, and 36/8.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ2

The three ratios that is equal to 18:4 are

9 : 2 if you divide 18 and 4 by 2
36 : 8 if you multiply 18 and 4 by 2
54 : 12 if you multiply 18 and 4 by 3

Hope this helps!!

Can any one help me any of them especially (b)

Answers

b.) $x^{- (1)/(2) }(x^{ (3)/(2) }-x^2)=x^{- (1)/(2) }(x^{ (3)/(2) })-x^{- (1)/(2) }(x^2)}=x^{- (1)/(2) + (3)/(2) }-x^{- (1)/(2) +2}=x-x^{ (1)/(2)$

e.) $(1)/( √(x) ) (x^2- √(x) )= \frac{1}{ x^{ (1)/(2) } } (x^2-x^ (1)/(2) ) \n = x^{- (1)/(2) } (x^2-x^ (1)/(2) )=x^{- (1)/(2) }(x^2)-x^{- (1)/(2) }(x^ (1)/(2) )} \n =x^{- (1)/(2) +2}-x^{- (1)/(2) + (1)/(2) }=x^ (1)/(2) -x^0=x^ (1)/(2) -1$