What is the circumference of the circle that has a radius of 8.6mm

Answer:

5

Step-by-step explanation:

5 x 3 = 15

n x 4 = 4n

3 + 4 = 7

(5 x 3) + (n x 4) = 5(3 + 4)

15 + 4n = 5*7

15 + 4n = 35

4n = 35 - 15

4n = 20

n = 20/4

n = 5

Hence, the value of missing number (n) is 5.

The decimal value is exact without any rounding.

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Explanation:

If Jackson saves 22%, then he pays the remaining 100% - 22% = 78%, which leads to the decimal value 0.78

An increase of 6% leads to 100%+6% = 106% and that converts to 1.06

Multiply those decimal values: 0.78*1.06 = 0.8268; this trick is useful to chain together multiple discounts and/or tax increases.

Therefore, the final cost expression is 0.8268y where the variable y is the original price before the discount and taxes.

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Extra info:

The expression 0.8268y tells us that Jackson is paying 82.68% of the original price. Note how 100% - 82.68% = 17.32%

This means Jackson is getting a real discount of 17.32% after the taxes have been considered.

Answer:

a) 69.36 square meters

b) 242,760 cost of tiles

c) 332,928 total paid for patio

Step-by-step explanation:

A rectangular patio is 10.2 m long 6.8 m wide

a) calculate the area of the patio

b) If tiles cost # 3500/m^2, calculate the cost of tiling the patio

c) If the cost of labour is 1300 /m2.

Calculate the amount paid for the patio​

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Area of the patio is length x width:

10.2 x 6.8 = 69.36 square meters

---------------------------------------------------

Tile cost = area x cost of tiles/square meter :

69.36 x 3500 = 242,760

---------------------------------------------------

Labour cost = area x cost of labour/square meter:

69.36 x 1300 = 90,168

----------------------------------------------

Total paid for the patio = cost of tiles + cost of labour

= 242,760 + 90,168 = 332,928

Answer:

20 ounces of the 63% solution and 80 ounces of the 33% solution.

Step-by-step explanation:

Let x = number of ounces of 63% solution.

Let y = number of ounces of 33% solution.

The total solution to be made is 100 oz.

x + y = 100

x ounces of 63% solution is 0.63x ounces of acid.

y ounces of 33% solution is 0.33y ounces of acid.

100 ounces of 39% solution is 39 ounces of acid

0.63x + 0.33y = 39

The system of equations is

x + y = 100

0.63x + 0.33y = 39

Multiply the both sides of the first equation by -0.33. Then add it to the second equation.

         -0.33x - 0.33y = -33

    +    0.63x + 0.33y = 39

   ---------------------------------

             0.3x             = 6

x = 6/0.3

x = 20

x + y = 100

20 + y = 100

y = 80

Answer:

20 ounces of the 63% solution and 80 ounces of the 33% solution.

Answer:

To find the coordinates of the point on the x-axis that is reflected over the x-axis from the point P, you can use the formula (x, -y). In this case, the x-coordinate of point P is 4, so the x-coordinate of the reflected point will also be 4. The y-coordinate of point P is 7, so the y-coordinate of the reflected point will be -7. Therefore, the coordinates of the reflected point are (4, -7).

Answer:

26

Step-by-step explanation:

if she is 8 years older, then is just 34-8 which is 26

Answer:

102200

Step-by-step explanation:

564+458= 1022

1 decagram=100 decigram

So multiply the sum by 100

1022*100=102200

The solution of the equation will be 1. Then the correct option is A.

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equation is given below.

2/5 + p = 4/5p + 3/5

Simplify the equation for p, then we have

2/5 + p = 4/5p + 3/5

p - 4/5p = 3/5 - 2/5

1/5 p = 1/5

p = 1

The solution of the equation will be 1. Then the correct option is A.

More about the solution of the equation link is given below.

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Answer:

[see below]

Step-by-step explanation:

[tex]3*2^t[/tex]

When 't' is 1:

[tex]3*2^1\\\\3*2\\\\\boxed{6}[/tex]

When 't' is 4:

[tex]3*2^4\\\\3*16\\\\\boxed{48}[/tex]

Hope this helps.

Answer:

Step-by-step explanation:

3 time 2 with the power of t

You see the given values, 1 and 4?

All you need to do is replace those values with 1 and 4.

3 x 2 with the power of 1.

2 times the power of one is just 2 because you aren't multiplying it with another 2.

So, 3 times 2 is 6.

3 x 2 with the power of 4

2 x 2 x 2 x 2 = 16

It's not 2 times 4; it's 2 times the power of 4-- which means we multiply the number by itself depending on the given value we're given.

I hope this helps!

Answer:

96 units^2

Step-by-step explanation:

The formula for the area of a triangle: b*h/2

b= 12

h= 16

Work:

12*16/2

192/2

96 uints^2

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to know if the standard form quadratic equation ax² +bx +c = 0 can be factored when c=0.

When the constant is zero, the equation becomes ...

  ax² +bx = 0

Factoring out x, we have a factored form as ...

  x(ax +b) = 0

showing that the equation can always be factored.

To determine how much it will cost Aftab to buy enough concrete slabs to make the patio, you will need to know the size of the patio and how many slabs are needed to cover it. Once you have this information, you can multiply the number of slabs by the cost per slab to find the total cost. For example, if the patio is 10 square meters and requires 20 concrete slabs to cover it, the total cost would be 3.10 * 20 = £62.

Answer:

Two times lower than last year's temperature

Let today's Temperature be x

x/2 = -8.2°

x = -8.2°*2

Answer:

y=(7)^x represents the exponential growth

Answer:y=(7)^x exponential growth, and do you use monarch aop? cause i do and i was wondering

Step-by-step explanation:

Answer:

.

<_>

.

()_()

.

Step-by-step explanation:

Answer:

50.92

Step-by-step explanation:

13.4 x 1 x 7.6=101.84

101.84÷2=50.92

I think that might be it but if I am wrong I am sorry that is just what I learned

Answer:

31.0

Step-by-step explanation:

 13.4

+17.6

=====

31.0

Answer:

x=2 y= -1

Step-by-step explanation:

Took me 5 minutes to write steps and unfortunately it disappeared. I am so sorry. But the answer is correct

Answer:

y=x+2

Step-by-step explanation:

Im going to start by presuming its a linear equation so the formula is:

y=mx+n so now we just make a simulanious equation:

7=5m+n

4=2m+n

which we subtract to get

3=3m

m=1

then we plug it into the first equation

7=5+n

n=2

so the equation is:

y=x+2

Answer:

27

Step-by-step explanation:

To find 45% of 60, you can multiply 60 by 0.45

60 x 0.45 = 27
45% of 60 is 27.

for an inequality graph, if the line is dashed, that means that the border line is not part of the shaded region, so any points on it are not a solution of it, any points inside the shaded region or "true" region are solutions to it, only if the border line is solid then the border is part of the "true" region, Check the picture below.

Answer:

x^2 + 2x - 35

Step-by-step explanation:

Sum of zeros

= - 7 + 5

= - 2

Product of zeros

= - 7 x 5

= - 35

x^2 - ( sum of zeros )x + product of zeros

= x^2 - ( - 2 ) x + ( - 35 )

= x^2 + 2x - 35

The Quadratic polynomial is x^2 + 2x - 35.

Answer:

About $982.

Step-by-step explanation:

The average cost is:

[tex]y = 1.182x + 19.096[/tex]

When the cost of a one-bedroom apartment is 815, we have [tex]x = 815[/tex], so we should expect the cost to be:

[tex]y = 1.182(815) + 19.066 = 982.4[/tex]

So:

About $982.

The given equation is a second order differential equation

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives.

Isaac Newton listed three kinds of differential equations given -

[tex]${\displaystyle {\begin{aligned}{\frac {dy}{dx}}&=f(x)\\[4pt]{\frac {dy}{dx}}&=f(x,y)\\[4pt]x_{1}{\frac {\partial y}{\partial x_{1}}}&+x_{2}{\frac {\partial y}{\partial x_{2}}}=y\end{aligned}}}[/tex]

Given is a differential equation as follows -

d²a/db² + a = 4b + 10sin(b)

The given equation is -

d²a/db² + a = 4b + 10sin(b)

Let y = a and x = b, then we can write -

d²y/dx² + y = 4x + 10sin(x)

A second order differential equation is one that expresses the second derivative of the dependent variable as a function of the variable and its first derivative. It is of the form -

d²y/dx² + P(x) dy/dx + Q(x) y = f(x)

For the equation given -

d²y/dx² + y = 4x + 10sin(x)

On comparing, we get -

P(x) = 0

Q(x) = 1

f(x) = {4x + 10sin(x)}

Therefore, the given equation is a second order differential equation.

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Answer:

it answer is 180

Step-by-step explanation:

plz mark me as brainlist

Answer:

[tex]\huge\boxed{\fcolorbox{green}{violet}{Answer}}[/tex]

[tex]144(x - 36) \\ = 144 \times x - 144 \times 36 \\ = 144x - 5184 \\ x = \frac{5184}{144} \\ x = 36[/tex]

Answer:

2.4

Step-by-step explanation:

Add -3.6 and 2 inside the bracket. Then multiply the result by -1.5.

[tex]-3.6 + 2 = -1.6\\-1.5(-1.6) = 2.4[/tex]

Note: Two negatives make a positive.

Step-by-step explanation:

(-1 5x-3.6)+(-1.5x2)

=5.4+-3

=5.4-3

=2.4

The diameter or radius of the circle is the dimension of a circle.

The circular line is drawn equidistant from the center point of a circle, which is a two-dimensional geometry object on a plane.

A geometrical rule states that the dimension of an object with n dimensions is n+1. For instance, a square is made up of line segments that are 1d and a cube is built up of squares that are 2d. The circle is therefore 2d or two-dimensional space since it is made up of 1d diameters.

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Answer:

The length of the parallelogram is half of the circumference of the circle, and its height is equal to the radius of the circle.

Step-by-step explanation:

Answer:

m = 2.25

b = 4.15

Step-by-step explanation:

Let us consider the points (1, 6.4) & (3, 10.9)

Slope (m) = (10.9 - 6.4)/(3 - 1) = 4.5/2 = 2.25

Now, by point slope formula of a line, we have:

[tex] y - y_1 = m(x - x_1) [/tex]

[tex] \therefore y - 6.4 = 2.25(x - 1)[/tex]

[tex] \therefore y - 6.4 = 2.25x - 2.25[/tex]

[tex] \therefore y = 2.25x - 2.25+6.4[/tex]

[tex] \therefore y = 2.25x + 4.15[/tex]

Equating it with y = mx + b, we find:

m = 2.25

b = 4.15

Answer:

[tex]p(x)=-5(x-12)^2+405[/tex]

Step-by-step explanation:

Hi there!

Vertex form: [tex]f(x)=a(x-h)^2+k[/tex]

[tex]p(x)=-5x^2+120x-315[/tex]

Factor out -5 from the first two terms

[tex]p(x)=-5(x^2-24x)-315[/tex]

Complete the square by adding [tex](\frac{24}{2} )^2[/tex] (the square of half of the x-coefficient)

[tex]p(x)=-5(x^2-24x+(\frac{24}{2} )^2)-315-(-5)(\frac{24}{2} )^2[/tex]

We're subtracting [tex](-5)(\frac{24}{2} )^2[/tex] because we need to keep the equation balanced and we can't just add new values.

Complete the square

[tex]p(x)=-5(x-(\frac{24}{2} ))^2-315-(-5)(\frac{24}{2} )^2[/tex]

Simplify

[tex]p(x)=-5(x-12)^2-315+720\\p(x)=-5(x-12)^2+405[/tex]

Summary:

I hope this helps!