Factorise 3(3x-y)-(y-3x)

The diameter of the new rubber ball, to the nearest foot, must be D =  4.0 ft (in the case of the maximum cost).

Remember that for a sphere of diameter D, the surface area is:

A = 4*pi*(D/2)^2

In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:

$0.02*A = $1

A = $1/$0.02 = 50

So the surface of the ball must be 50 square feet.

Then we solve:

50ft^2 = 4*3.14*(D/2)^2

D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft

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Answer:

Depends...

Step-by-step explanation:

If 2in and 14 in are diameter

C=2pi in.

C=14pi in.

If 2in and 14in are radii

C=4(pi).

C=28(pi)

Answer:

B

Step-by-step explanation:

-6-19=25

Check:

6+19=25

Answer:

h=-6 aka b

Step-by-step explanation:

First start with h-19=-25

then h-19+19=-25+19

answer h=-6

Answer:

24% and 38%

Step-by-step explanation:

Answer:

24% and 38%

Step-by-step explanation:

Answer is 4060

hope this is helpfulhelpful

Work Shown:

(540 grams sugar)/(5 liter soda) = (x grams sugar)/(3 liter soda)

540/5 = x/3

540*3 = 5*x

1620 = 5x

5x = 1620

x = 1620/5

x = 324

3 liters of soda has 324 grams of sugar

Answer:

125 degrees

Step-by-step explanation:

5x=3x+50

5x-3x+50

2x=50

x=25

5x=25x5

   =125

The linear function that represents the data in the table is given by:

f(x) = 200x - 7.

A linear function is modeled by:

y = mx + b

In which:

Researching the function on the internet, it is found that:

Thus, the function is given by:

f(x) = 200x - 7.

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Answer:

b

Step-by-step explanation:

f(x)=200x-7

Answer:

Step-by-step explanation:

This curved line is called a function.

What Function is it?

Nonlinear functions are curved lines, going through some of the axis.

Linear functions are straight lines, and it will forever go left and right.

Answer:

Its the third one I think.

Step-by-step explanation:

I worked on it.

Answer:

c

Step-by-step explanation:

The unit rate is $25. The unit rate gives information on the amount by which the account increases per month.

The unit rate gives the amount by which the money in the account increases per month. It measures the rate of increase in the account.

In 1, month, the total value of the account would be: $50 + (25 x 1) = $75

In 2 months, the total value of the account would be: $50 + (25 x 2) = $100

In 10 months, the total value of the account would be: $50 + (25 x 10) = $300

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Answer:

250

Step-by-step explanation:

Answer:

x=12/17

Step-by-step explanation:

hope this helps

Answer: The radius is 8 inches

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^2=A[/tex]

Where

A is the area (200.96 for this)

[tex]\pi[/tex] is pi (we'll round it to 3.14 for this)

and r is the radius

Let's sub in our values and solve for r

[tex]3.14r^2=200.96[/tex]

Divide both sides by 3.14 to isolate [tex]r^2[/tex]

[tex]\frac{3.14r^2}{3.14} =\frac{200.96}{3.14} \\\\r^2=64[/tex]

Take the square root of both sides to cancel the square

[tex]r^2=64\\\sqrt{r^2} =\sqrt{64} \\r=8[/tex]

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 4.8\%\to \frac{4.8}{100}\dotfill &0.048\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &10 \end{cases} \\\\\\ A=2000\left(1+\frac{0.048}{12}\right)^{12\cdot 10}\implies A=2000(1.004)^{120}\implies A\approx 3229.06[/tex]

[tex]3x-30=2x-9\\\\\implies 3x -2x = -9 +30\\\\\implies x = 21[/tex]

Vertical angles are equal

Done!

Step-by-step explanation:

Angle W is the corresponds as to angle C

Answer:

£1248

Step-by-step explanation:

1200x4%

=£48

1200+48=£1248

Gagu will be paid £1248 after the increase.

The amount Gagu paid per month after the 4% increment is £1248

If there is x% increment in y then the increment will be (x/100)*y and the  new amount after x% increment will be now  y + (x*y)/100

Given that Gagu is paid £1200 per month. He is going to get a 4% increase in the amount of money he is paid.

Initial payment  = £1200

4% increment  = 4% of initial pay  = 4(1200)/ 100 = £ 48

After increment new payment = Initial payment + 4% increment = 1200+48

                                                                                                          =  £1248

Therefore, The amount Gagu paid per month after the increase is £1248

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Answer:

B = 50

Step-by-step explanation:

[tex]\frac{5}{10} =\frac{b}{100}[/tex]   do butterfly multiplication

[tex]5*100=500[/tex]

[tex]10*b=10b[/tex]

[tex]\frac{10b}{10}=\frac{500}{10}[/tex]

B = 50

Sum of the interior angles of a polygon. (number of sides - 2) 180.

Area of a rectangle or a parallelogram. A = bh.

Area of a triangle. A = ½ bh.

Area of a trapezoid. A = ½ (b₁+b₂) h.

Area of a circle. A = πr²

Circumference of a circle. C = πd.

Surface area of a prism. S = 2B + Ph.

Surface area of a cylinder.

Answer:

I think it would be 4+10=14 and the bigger number is 10

Step-by-step explanation:

forgive me if I'm wrong

The product of the two provided equations, obtained by multiplying each term of the first equation from the second one, is 6p³+29p²+22p-21.

To multiply the two equation, each term of the first equation is multiples from the second term.

         [tex]2p+ 7[/tex]

        [tex]3p^2 +4p-3[/tex]

The product of these two equations are,

[tex]P=(2p+7)\times (3p^2 +4p-3)\\P=6p^3+8p^2-6p+21p^2+28p-21[/tex]

Arrange the equation with the same power terms,

[tex]P=6p^3+8p^2+21p^2-6p+28p-21\\P=6p^3+29p^2+22p-21[/tex]

Hence, the product of the two provided equations, obtained by multiplying each term of the first equation from the second one, is 6p³+29p²+22p-21.

Learn more about the multiplication of two equation here;

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Answer: n is 4

Step-by-step explanation: n-5= -1

Add 5 to both sides

n=-1+5

n=4

Step-by-step explanation:

5 Less than a number n 1. if you want 5 less than what you start with, you must take away 5

Answer:

142

Step-by-step explanation:

Answer:

142

Step-by-step explanation:

Answer:

1 week

Step-by-step explanation:

Answer:

Addition/Elimination

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

(0,3)

Equation Form:

x=0,y=3

Answer:

26

Step-by-step explanation:

complementary means same. so A and B are 26.

Answer:

Step-by-step explanation:

3a^2x^2 (x^5 -6x^3 - 8x)

= 3a^2x^2 * x^5 - 3a^2x^2 * 6x^3 - 3a^2x^2 * 8x

= 3a^2x^7 - 18a^2x^5 - 24a^2x^3.