If 1=3<br> 2=3<br> 3=5<br> 4=4<br> 5=4, then 6=?

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, an

ArbitrLikvidat [17]

Answer:

$ 2.30

Step-by-step explanation:

Given that the sales tax rate $= 8\frac{1}{2}\%=8.5\%$

The cost of the book is $ 12.99.

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

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

=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

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

=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.

3 0

3 years ago

Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the le

Svet_ta [14]

Answer:

The maximum possible length, in centimeters, of the longest piece of rope is 134 cm

Step-by-step explanation:

Let the seven pieces be a,b,c,d,e,f,g

Average of 7 pieces of ropes =68

$Average = \frac{\text{Sum of all lengths}}{\text{No. of pieces}}$

$68= \frac{\text{Sum of all lengths}}{7}$

$68 \times 7 =\text{a+b+c+d+e+f+g}$

$476=\text{a+b+c+d+e+f+g}$ --A

We are given that the median length of a piece of rope is 84 centimeters.

We arrange the pieces in the ascending order

So, median will be the length of 4th piece

So, d = 84 cm

the length of piece a,b,c will be less than 84 and the value of e,f,g must be greater than or equal to 84

Let us suppose the length of a,b,c be x

Let us suppose the length of e,f be 84

The length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope

So, g = 4x+14

Substitute the value in A

$476=x+x+x+84+84+84+4x+14$

$476=7x+266$

$\frac{476-266}{7}=x$

$30=x$

g = 4x+14=4(30)+14=134

Hence the maximum possible length, in centimeters, of the longest piece of rope is 134 cm

7 0

3 years ago

Which linear function represents the table

My name is Ann [436]

Answer:-5.5

Step-by-step explanation:

you can do the y divided by the x to get what you are multiplying by which would be 5.5

8 0

3 years ago

Read 2 more answers

What’s the measure of the missing angles?

Ymorist [56]

Answer:

Angle 1 equals 90 degrees. Angle 2 equals 38 degrees.

Step-by-step explanation:

Angle 1 is at the cross of two perpendicular lines, making it 90 degrees. Angle 2 can be found by making the two equal side lengths and the middle line into one triangle. This means that two of the angles are 52 degrees. This leaves 76 degrees to be split in the triangle. The middle line cuts the angle in half, making it 38 degrees

3 0

3 years ago

Tri-County Utilities, Inc., supplies natural gas to customers in a three-county area. The company purchases natural gas from two

Sav [38]

Answer:

The network model is attached.

Step-by-step explanation:

Total Demand from each Gas Company are:

Southern Gas, 500 units;

Northwest Gas, 400 units.

Total Supplies to each County are:

Hamilton County, 400 units;

Butler County, 200 units;

Clermont County, 300 units.

The distribution costs per unit (in thousands of dollars) are as follows

-----------Hamilton-- Butler-- Clermont

Southern Gas--- 10 ---20--- 15

Northwest Gas ----12 ----15---- 18

The network representation of these information is given in the attachment.

3 0

3 years ago

If 1=3 2=3 3=5 4=4 5=4, then 6=?