MATHEMATICS HIGH SCHOOL

In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. a. A book costs $12.99, and a video game costs $39.99. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book?

Answers

Answer 1

Answer:

Answer:

$ 2.30

Step-by-step explanation:

Given that the sales tax rate $= 8(1)/(2)\%=8.5\%$

The cost of the book is $ 12.99.

So, the tax on the book= 8.5% of 12.99

$= \frac {8.5}{100}* 12.99$

=1.10

So, the sales tax on the book is $ 1.10.

The cost of the video game is $ 39.99.

So, the tax on the book= 8.5% of 39.99

$= \frac {8.5}{100}* 39.99$

=3.30

So, the sales tax on the book is $ 3.40.

The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30

So, the tax on the video game is $ 2.30 more than then tax on the book.

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Three rare coins with diameters of 7/8 inch, 3/4 inch, and 5/8 inch are mounted in a rectangular frame, as shown in the diagram below. What is the perimeter of the frame if the coins fit exactly?

Sally needs 2 cups of flour to make her cake. She has 1 cups of flour. How much flour will she need to borrow to have enough to bake her cake?

Answers

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She needs = 2 - 1 = 1

So, she needs 1 cup of flour more.

If 52 x equals 7800 y what does 1 x equal? What is the maths equation?

Answers

You gave the equation right at the beginning. It's [ 52 x = 7,800 y ].

As you requested, I'll proceed now to solve your equation for 'x'.
I'll go slowly, and explain each step clearly. Please try to follow
along with my procedure.

Step #1:
Write down the equation: 52 x = 7,800 y

Step #2:
Divide each side of the equation by 52 : x = 7,800 y / 52

Step #3:
Perform the division indicated by the fraction, and underline the answer.

x = 150 y

$52x=7800y\n x=150y$

Kali spent half of her weekly allowance on clothes. To earn more money her parents let her clean the gutters for $9. What is her weekly allowance if she ended with $13?

Answers

Kali weekly allowance if she ended with $13 would be $8.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

we have been given the information as;

Kali spent half of her weekly allowance on clothes.

After Kali spent half of her allowance and earned $9, she is left with $13.

This means the remaining of her weekly allowance is $9.

This can be derived by subtracting $9.

$13 - $9 = $4

This means that it is $4 that remains after spending half of her weekly allowance.

Therefore, her weekly allowance = $4 x 2 = $8

Hence, Kali weekly allowance if she ended with $13 would be $8.

Learn more about the unitary method;

brainly.com/question/23423168

#SPJ2

So to find the answer to this, you have to consider that $(1)/(2) x + 9 = 13$ - half because half the pocket money (x) was spend on clothes, then plus 9 because that's how much extra she gained and 13 because that was the result of all the changes.

To solve this, first subtract 9 from both side, which leaves you with $(1)/(2) x = 4$ and $(1)/(2) x$ is the same as $(1x)/(2)$ , so to solve this, multiply both sides of the equation by two, resulting in $x = 8$ . SO from this we can conclude that the weekly allowance is $8

Helppp plzz!! A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg
F.) Not enough information.

Answers

Answer:

F. not enough information

Step-by-step explanation:

there are no markings as to the lengths and there is no way of knowing

jenny`s mom says she has an hour before it's bedtime. Jenny's spends 3\5 of hour texting a friend and 3\8 of the remaining time brushing her teeth and putting on her pajamas. she spends the rest of the time reading her book. how long did jenny read?

Answers

15 minutes

Further explanation

Given:

Jenny has an hour before its bedtime.
Jenny spends $(3)/(5)$ of an hour texting a friend and $(3)/(8)$ of the remaining time brushing her teeth and putting on her pajamas.
She spends the rest of the time reading her book.

Question:

How long did Jenny read?

The Process:

Step-1: We need to calculate the time of texting a friend in minutes.

Recall that $\boxed{1 \ hour = 60 \ minutes}$

$\boxed{(3)/(5) \ hour = \ ? \ minutes}$

$\boxed{(3)/(5) \ hour = (3)/(5) * 60 \ minutes}$

We crossed out 5 and 60, i.e., $\boxed{60 / 5 = 12}$

$\boxed{(3)/(5) \ hour = 3 * 12 \ minutes}$

Therefore,

$\boxed{\boxed{ \ (3)/(5) \ hour = 36 \ minutes \ }}$

Step-2: Let us calculate the remaining time.

$\boxed{60 \ minutes - 36 \ minutes = 24 \ minutes }$

Step-3: Jenny spends $(3)/(8)$ of the remaining time brushing herteeth and putting on her pajamas.

$\boxed{(3)/(8) * 24 \ minutes}$

We crossed out 8 and 24, i.e., $\boxed{24 / 8 = 3}$

$\boxed{= 3 * 3 \ minutes}$

$\boxed{\boxed{ \ 9 \ minutes \ }}$

Step-4: Let us calculate how long Jenny read for the rest of time.

$\boxed{24 \ minutes - 9 \ minutes = 15 \ minutes }$

Thus, Jenny spent 15 minutes reading a book before its bedtime.

- - - - - - - - - -

Quick Steps:

Let us calculate how long Jenny read for the rest of time.

$\boxed{ \ = \bigg(1 - (3)/(8) \bigg) * \bigg(1 - (3)/(5) \bigg) * 60 \ minutes \ }$

$\boxed{ \ = (5)/(8) * (2)/(5) * 60 \ minutes \ }$

$\boxed{ \ = (10)/(40) * 60 \ minutes \ }$

$\boxed{ \ = (1)/(4) * 60 \ minutes \ }$

$\boxed{\boxed{ \ 15 \ minutes \ }}$

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Keywords: Jenny, has an hour, before its bedtime, spends 3/5 of an hour, texting a friend, 3/8 of the remaining time, brushing her teeth, putting on her pajamas, reading her book

First you'll need to get the same denominator. So instead of 3/5 and 3/8 you'll have 24/40 and 15/40. Now that we've changed the value of the denominator, the 40/40 will now represents the 1 hour that Jenny has before bedtime. So you add 24/40 and 15/40 and get 39/40. 39/40 stands for the time that Jenny has already spent brushing her teeth and texting her friend all together. Since the 1 hour is 40/40 subtract 39/40 from it to get 1/40. 1/40 is equal to the rest of the time Jenny spends reading or 1.5 minutes.

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