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3 years ago

9

Patrick is buying a new pair of shoes. The expression shown below represents the sales tax on the price of the shoes,s. 0.06s By

what number can Patrick multiply the price of the shoes, s, to determine the total amount he will need to pay for them including the tax?

2 answers:

notka56 [123]3 years ago

7 0

Answer:

Your answer is 1.06

Step-by-step explanation:

bonufazy [111]3 years ago

3 0

Answer: 1.06

Step-by-step explanation:

This is the answer because the price of the shoes is s, and the tax is 0.06s. The total cost of the shoes with tax is s+0.06s= 1.06s

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a cube has sides of lengths a -3 which of the following expression best represents the volume of the cube

Semenov [28]

Answer: -27

Step-by-step explanation: the cube has a volume of -27 because -3 to the 3rd power (cubed) is -27

Hope this helps ☺

7 0

3 years ago

Q2.What is the ratio of volumes of the two cylinders formed by rolling a sheet of dimensions lxb in two different ways? Q3.What

Kobotan [32]

Answer:

2. b : l

3. 20cm

4. 49 $cm^{2}$

5. $(2\pi+1):2\pi$

Step-by-step explanation:

<u>Solution 2:</u>

Let cylinder is rolled along 'l':

Height of cylinder , h = length of rectangle = l

Perimeter of base = b

Let 'r' be the radius of cylinder's base:

$2\pi r = b\\\Rightarrow r = \dfrac{b}{2\pi}$

Volume of a cylinder is given as:

$V = \pi r^{2} h$

Putting the values:

$V_1 = \pi (\dfrac{b}{2\pi})^2 l\\\Rightarrow V_1 = (\dfrac{b^2}{4\pi}) l$

Let cylinder is rolled along 'b':

Height of cylinder , h = length of rectangle = b

Perimeter of base = l

Let 'r' be the radius of cylinder's base:

$2\pi r = l\\\Rightarrow r = \dfrac{l}{2\pi}$

Volume of a cylinder is given as:

$V = \pi r^{2} h$

Putting the values:

$V_2 = \pi (\dfrac{l}{2\pi})^2 b\\\Rightarrow V_2 = (\dfrac{l^2}{4\pi}) b$

Taking ratio:

$V_1:V_2 = \dfrac{(\dfrac{b^2}{4\pi}) l}{(\dfrac{l^2}{4\pi}) b} = b:l$

Solution 3:

Rectangle is rolled along its length to make a cylinder, so height will be equal to its length.

$\therefore$ height of cylinder = 20 cm

Solution 4:

Side of square = 7 cm

Height of cylinder =Side of square = 7 cm

7 cm will be the circumference of the circle.

i.e. $2\pi r$ = 7 cm

Curved surface area of a cylinder:

$CSA = 2\pi rh$

Putting the above values:

CSA = 7 $\times$ 7 = 49 $cm^{2}$

Solution 5:

As calculated in above step:

CSA = $2\pi rh =$ 7 $\times$ 7 = 49 $cm^{2}$

Total surface area = $2\pi r^{2} + 2\pi r h$

Calculating value of r:

$2\pi r$ = 7 cm

$\Rightarrow 2 \pi r = 7\\\Rightarrow r = \dfrac{7}{2\pi}$

Total surface area =

$2\pi (\dfrac{7}{2\pi})^{2} + 49\\\Rightarrow \dfrac{49}{2\pi}+49\\\Rightarrow 49(\dfrac{1}{2\pi}+1) cm^2$

Ratio of TSA: CSA is

$49(\dfrac{1}{2\pi}+1) cm^2 : 49 cm^2\\\Rightarrow (\dfrac{1}{2\pi}+1):1\\\Rightarrow (2\pi+1): 2\pi$

5 0

3 years ago

Ignacio shares 2.1 liters of water equally into 7 containers. How many milliliters are in each container?

Anna11 [10]

300 milliliters in each container because 2.1 liters is 2100 milliliters and 2100/7 is 300

6 0

3 years ago

A cookout tray consists of one main item, two different sides, and a drink. if cookout offers 10 main items, 10 sides, and 5 dri

OLEGan [10]

The number of unique cookout trays are possible is 500

<h3>How many unique cookout trays are possible?</h3>

The given parameters are:

Main items = 10

Sides = 10

Drinks = 5

The number of unique cookout trays are possible is

Cookout trays = Main items * Sides * Drinks

So, we have:

Cookout trays = 10 * 10 * 5

Evaluate

Cookout trays = 500

Hence, the number of unique cookout trays are possible is 500

Read more about combination at:

brainly.com/question/11732255

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6 0

1 year ago

5x + 5 = x + 45<br><br> PLEASE HELP

Ostrovityanka [42]

$5x+5=x+45$

We'd rather not have x on both sides of the equation when trying to solve this. To eliminate the x on the right side, subtract both sides by x.

$5x+5-x=x+45-x$
$4x+5=45$

Let's get eliminate the "5" on the left side. Subtract both sides by 5.

$4x+5-5=45-5$
$4x=40$

To finish this, divide both sides by 4.

$4x \div 4=40 \div 4$
$x=10$

That is the answer. Hope this helps! :)

5 0

4 years ago