Find the HCF of:
3x and 6x.​

Answer:

Amount of plastic need to cover paper role = 565.2 inches

Step-by-step explanation:

Given:

Diameter of paper role = 10 inch

Height of paper role = 13 inch

Find:

Amount of plastic need to cover paper role

Computation:

Radius of paper role = Diameter of paper role / 2

Radius of paper role = 10 / 2

Radius of paper role = 5 inch

Amount of plastic need to cover paper role = Total surface area of cylinder

Amount of plastic need to cover paper role = 2πr(h+r)

Amount of plastic need to cover paper role = 2(3.14)(5)(13+5)

Amount of plastic need to cover paper role = (3.14)(10)(18)

Amount of plastic need to cover paper role = 565.2 inches

Answer:

5.52m

Step-by-step explanation:

First, we can see that two similar triangles are formed. One similar triangle is the big triangle, with the base being 22.75m and the height being the tree's height. Another triangle is formed with Grayson's height as the height and the and the difference between where he is standing and the edge of the tree's shadow (the red outline in the picture) .  We know that these are similar triangles because both the bases are parallel, as well as the heights and hypotenuses.

The base length for the triangle with Grayson as the height is 22.75-17.6 = 5.15 .

For similar triangles, we know that the ratios between sides are the same. For example, base₁/base₂ = height₁/height₂ . We can apply this here, making 5.15 base₁ and 1.25 height₁ (note that the same triangle's sides should be on top)

If we make the tree's height t, we thus have

5.15/22.75 = 1.25/t (height 2 is the tree's height

multiply both sides by t to remove one denominator

5.15 * t / 22.75 = 1.25

multiply both sides by 22.75 to remove the other denominator

5.15 * t = 1.25 * 22.75

          = 28.4375

divide both sides by 5.15 to isolate the t

t = 5.52m

Answer:

2.7

Step-by-step explanation:

you can do sin17 * 9.3, because sin = opp/hyp = x/9.3

use your calculator for sin17 and multiply it by 9.3

Answer:

(2x + y)(4x² - 2xy + y²)

Step-by-step explanation:

8x³ + y³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²) , then

8x³ + y³

= (2x)³ + y³

= (2x + y)((2x)² - 2xy + y²) , that is

(2x + y)(4x² - 2xy + y²)

Answer:

1 option is correct nd your answer is also correct

Answer: ∠p and ∠s, ∠q and ∠r

Step-by-step explanation:

From the lines on the angles indicate which ones are corresponding, for example angles p and s both have 2 lines, while angles q and r both have one line.

The sets of angles are corresponding angles are; ∠p and ∠s, ∠q and ∠r

It can be defined as, corresponding means pair wise angles. Like the right corner angles of two triangles etc. But usually we take them as:

For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.

From the lines on the angles indicate which ones are corresponding, for example angles p and s both have 2 lines, while angles q and r both have one line.

We can conclude the sets of angles that are corresponding angles;

∠p and ∠s, ∠q and ∠r

Learn more about  angles here:

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Answer:

"85.7%" is the right answer.

Step-by-step explanation:

According to the question,

The total capacity of water tank will be:

⇒ [tex]v_1=A\times 14[/tex]

The total volume of water will be:

⇒ [tex]v_2=A\times 12[/tex]

Now,

The percentage of total capacity will be:

= [tex]\frac{100\times v_2}{v_1}[/tex]

= [tex]\frac{v_2}{v_1}\times 100[/tex]

By putting the values, we get

= [tex]\frac{A\times 12}{A\times 14}\times 100[/tex]

= [tex]85.7[/tex]%

Answer:

Brad & Matthew can expect to lose money from selling these cameras of -$122

Step-by-step explanation:

Calculation to determine if it should expect to make or lose money from selling them and How much?

First step is to calculate the expected costs

Expected costs= (0.03* $4900 ) + (0.02* $4900 * 2)

Expected costs=$147+$196

Expected costs=$343

Now let determine the amount of profit or Loss that the company will be making in the long-run on each camera sold

Expected Profit or loss =($221-$343)

Expected Profit or loss =-$122

Therefore it Should expect to LOSE money from selling them of the amount of -$122

10x - 5y = 40

-5y = -10x + 40 || : (-5)

y = 2x - 8

environment is not natural uniform all from

Answer:

39.48

Step-by-step explanation:

1/2(5.3+13.5)(4.2)

Answer:

x=46

Step-by-step explanation:

Isosceles triangle which means that the bottom two angles are equal. 180 degrees  minus 88=92. Since there are two angles you divide 92/2 which gets 46.

Answer:

D

Step-by-step explanation:

two sides are equal.

so opposite angles are also equal.

x+x+88=180

2x=180-88=92

x=92/2=46°

Answer:

7

Step-by-step explanation:

6m = 3m + 21

6m - 3m = 21

3m = 21

m = 21 / 3

m = 7

Answer: The cost for the two pairs of shoes is $13.33

Step-by-step explanation:

Since we have given that

Cost of pair of flip flops = $3.46

Cost of pair of slip on shoes = $9.87

We need to find the cost of two pairs of shoes.

Cost of two pairs of shoes = Cost of pair of flip flops + Cost of pair of slip on shoes

[tex]cost=3.46+9.87=13.33[/tex]

the cost for the two pairs of shoes is $13.33.

Answer:

Number of fish in 2006 = 845 fishes (Approx.)

Step-by-step explanation:

Given;

Number of fish in 2000 = 1,150 fishes

Decreasing rate = 5% per year

Find:

Number of fish in 2006

Computation:

Exponential decay function:

F = P[1-r]ⁿ

Number of year = 2006 - 2000

Number of year =  6 year

Number of fish in 2006 = 1,150[1-5%]⁶

Number of fish in 2006 = 1,150[1-0.05]⁶

Number of fish in 2006 = 1,150[0.95]⁶

Number of fish in 2006 = 1,150[0.735]

Number of fish in 2006 = 845.25

Number of fish in 2006 = 845 fishes (Approx.)

Step-by-step explanation:

Explanation is in the attachment

hope it is helpful to you

Given:

Prime numbers can be expressed as a sum and difference of 2 prime numbers.

To find:

The prime numbers that can be expressed as a sum and difference of 2 prime numbers.

Solution:

Prime numbers are the positive integers which are greater than 1, divisible by only 1 and itself.

Prime numbers are 2, 3, 5, 7, 11, 13, 17, 19,... .

Only 2 is the even prime number.

The sum and difference of two odd integers is always an even number. So, we need to take one even prime number and one odd prime number to add and subtract the numbers to get a prime number.

[tex]2+3=5[/tex]

[tex]7-2=5[/tex]

Therefore, 5 is the only prime number that can be expressed as a sum and difference of 2 prime numbers.

Answer:

12/49 chance that they are both white

Step-by-step explanation:

We have 2 events going on:

The first bag that contains: 3 white, 4 red

The second bag that contains: 4 white, 3 red

First let's find the probability of picking a white ball from each individual bag (not combing the chances yet):

For the 1st bag, there are 3 white balls out of 7 balls (add 3 and 4).

That means there's a 3/7 chance you'll get a white ball from the 1st bag.

For the 2nd bag, there are 4 white balls out of 7 balls (add 4 and 3).

That means there's a 4/7 chance you'll get a white ball from the 2nd bag.

To find the probability of getting both white from both of the bags, multiply 3/7 & 4/7:

3/7 * 4/7 = 12/49

You can't simplify 12/49 further, so that's your answer!

Hope it helps (●'◡'●)

Answer:

Step-by-step explanation:

the answer is... 2/6

Answer:

THE ANSWER IS UNLIMITED

Step-by-step explanation:

THE REASON IT'S UNLIMITED IS BECAUSE YOU CAN HAVE ALL TYPES OF SHIRTS, FROM JERSEYS TO DRESS SHIRTS, TO T-SHIRTS.

Answer:

[tex]slope = \frac{ - 1 - 4}{0 - 2} \\ = \frac{ - 5}{ - 2} \\ = { \tt{ \frac{5}{2} }}[/tex]

Answer:

should be A & D they are multiplying the x by a number less than 1 (between -1 & 1)

Step-by-step explanation:

Answer:

y = 7/5x + 7

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Because 1 don't equal to 16

Answer:

no

Step-by-step explanation:

* means multiply

(2,1)

x = 2

y = 1

just plug in the numbers

1 = 8*2 ?

1 = 16? no

Answer:

x = 3

Step-by-step explanation:

Step-by-step explanation:

3(8x-8)/2=64

3(8x-8)=64×2

24x-24=128

24x=128+24

24x=152

24x/24=152/24

x=6.3

Answer:

x=31.2

Step-by-step explanation:

Since angle C is 4x-10 and angle A is 2x+3

then the two angles combined should equal 180 (based off of the inscribed quadrilateral theorem)

4x-10+2x+3=180

6x-7=180

6x=187

x=31.166...

if you round it to the nearest tenth it would be 31.2

Answer:

15

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

2 hours * 60 minutes/hour = 120 minutes

120 minutes / 30 minutes = 4

120 minutes is 4 times 30 minutes, so he can serve 4 times as many people.

4 * 6 customers = 24 customers

Answer: 24

A man serves 6 customers in 30 minutes. There are 24 customers who can be served in 2 hours.

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.

A man serves 6 customers in 30 minutes. we want to find how many customers can be served in 2 hours.

We know that

2 hours x 60 minutes/hour = 120 minutes

120 minutes / 30 minutes = 4

120 minutes is 4 times 30 minutes, so he can serve 4 times as many people.

= 4 x 6 customers

= 24 customers

Learn more about the unitary method;

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Given:

The given statement is "6 less than the difference of 5 and a number".

To find:

The variable expression for the given statement.

Solution:

Let n be the unknown number or the variable.

We know that minus sign is used to represent the difference between two numbers.

Difference of 5 and a number is [tex](5-n)[/tex].

6 less than the difference of 5 and a number is [tex](5-n)-6[/tex].

The required expression for the given statement is [tex](5-n)-6[/tex].

Therefore, the correct option is C.

Answer:

hope it helps.