Rewrite 3.16 as a fraction (the 6 is repeating)c

[tex]\large\mathfrak{{\pmb{\underline{\orange{Given }}{\orange{:}}}}}[/tex]

[tex]2x - 40y = 73...(i)[/tex]

[tex]7x + 65y = 332...(ii)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\pink{To\:find }}{\pink{:}}}}}[/tex]

The values of [tex]x[/tex] and [tex]y[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\green{Solution }}{\green{:}}}}}[/tex]

[tex]x=43.96 [/tex] and [tex]y = 0.373 [/tex].

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

Let us solve this by substitution method.

From [tex]eqn.\:(i),\:we\:have [/tex]

↬[tex]2x - 40y = 73[/tex]

↬[tex]2x = 73 + 40y[/tex]

↬[tex]x = \frac{73 + 40y}{2}...(iii) \\ [/tex]

Substituting the value of [tex]x[/tex] in [tex]eqn.\:(ii)[/tex] gives us

↬[tex]7( \frac{73 + 40y}{2} ) + 65y = 332 \\ [/tex]

↬[tex] \frac{511 + 280y}{2} + \frac{65y \times 2}{1 \times 2} = 332 \\ [/tex]

↬[tex] \frac{511 + 280y + 130y}{2} = 332 \\ [/tex]

↬[tex]410y + 511 = 332 \times 2[/tex]

↬[tex]410y = 664 - 511[/tex]

↬[tex]y = \frac{153}{410} \\ [/tex]

↬[tex]y = 0.373[/tex]

Now, plug the value of [tex]y[/tex] in [tex]eqn.\:(i)[/tex]

↬[tex]2x - 40 \times 0.373 = 73 \\ [/tex]

↬[tex]2x - 14.92= 73 [/tex]

↬[tex]2x = 73 +14.92[/tex]

↬[tex]x = \frac{87.92}{2} \\ [/tex]

↬[tex]x = 43 .96[/tex]

Therefore, the values of [tex]x[/tex] and [tex]y[/tex] are [tex]\boxed{ 43.96 }[/tex] and [tex]\boxed{ 0.373 }[/tex] respectively.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

136 cm2

Step-by-step explanation:

6*2=12    12*2=24

6*7=42   42*2=84

7*2=14    14*2=28

Add.

24+84+28=136

I hope this helps!

Answer:

the area of the square on the hypotenuse is equal to the sum of the areas of squares of perpendicular and base".

9514 1404 393

Answer:

  4.8 years

Step-by-step explanation:

Solving the compound interest formula for the number of years gives ...

  t = log(A/P)/(n·log(1 +r/n))

where principal P invested at rate r compounded n times per year produces value A after t years.

  t = log(24805/22000)/(365·log(1 +0.025/365)) ≈ 4.800

The loan was for 4.8 years.

Answer:

[tex]-6y^{2}+8y^{3}-4y^{2}+y-10y^{3}\\\\=(-6-4)y^{2}+(8-10)y^{3}+y\\\\=-2y^{3}-10y^{2}+y\\\\=y(-2y^{2}-10y+1)[/tex]

Step-by-step explanation:

I am not sure but is this question like this

if it's not i am sorry

Answer:

98.88

Step-by-step explanation:

Given: They cheered 12 rounds. Each round = 8.24

To find the total number, multiply how much one round is with the total number of rounds.

  8.24

×     12

-----------

  1648

+ 8240

----------

98.88

Each girl cheered 98.88 minutes. If you need this estimated, the answer would be 99 minutes.

Answer:

answer must be 0.5:

Step-by-step explanation:

by simplify formula BODMAS

Answer:

The correct choice is option D. -1

Step-by-step explanation:

Find f(x) = - 3 on the table. When y = -3, what is the x value? Look on the right side, you can see it's -1, correct? So, f(x) = - 3 when x = - 1.

Answer:

120 ways

..................

Answer:

24

Step-by-step explanation:

4  friends

1st seat: 4 different people could sit here

Now there are 3 friends left

2nd seat: 3 different people could sit here

Now there are 2 friends left

3rd seat: 2 different people could sit here

Now there are 1 friends left

4th seat: 1 different people could sit here

4*3*2*1

24 ways

Answer:250

Step-by-step explanation:

Answer:

Step-by-step explanation:

favorable events for a sum of 3 are 12,21

P(sum 3)=2/36=1/18

favorable events for a sum of 9 are 36,63,45,54

P(sum of 9)=9/36=1/4

Answer: 22

Step-by-step explanation:

−2−(3)(−2)(4)

=22

Answer:

[19 -1 25 3.25]

Step-by-step explanation:

just take the elements from the resultant matrix and divide it by the corresponding elements in the given matrix to find the matrix that's being asked.

9514 1404 393

Answer:

  h'(3) = 26

Step-by-step explanation:

  h(x) = 3f(x) +5g(x) +3 . . . . . . . given

  h'(x) = 3f'(x) +5g'(x) . . . . . . . . take the derivative

  h'(3) = 3f'(3) +5g'(3) . . . . . . . use x=3

  h'(3) = 3(2) +5(4) = 26

Answer:

<

Step-by-step explanation:

Inequality symbols:

<     less than

>     greater than

=     equal to

≤     less than or equal to

≥     greater than or equal to

In this case, it is known that -4 is less than 5, or:

-4 < 5.

~

Answer:

>

Step-by-step explanation:

because 5 is bigger than -4

Answer:

23456789990000000000000000000

Answer:

use m a t h w a y

Step-by-step explanation:

Answer:

Yummy!

Step-by-step explanation:

Answer:

1.24

Step-by-step explanation:

oahsofhasdf0as0dfadera

Explanation:

Let [tex]f(x) = \sqrt{25x}[/tex] and [tex]g(x) = \frac{x^2}{25}[/tex]. The differential volume dV of the cylindrical shells is given by

[tex]dV = 2\pi x[f(x) - g(x)]dx[/tex]

Integrating this expression, we get

[tex]\displaystyle V = 2\pi\int{x[f(x) - g(x)]}dx[/tex]

To determine the limits of integration, we equate the two functions to find their solutions and thus the limits:

[tex]\sqrt{25x} = \dfrac{x^2}{25}[/tex]

We can clearly see that x = 0 is one of the solutions. For the other solution/limit, let's solve for x by first taking the square of the equation above:

[tex]25x = \dfrac{x^4}{(25)^2} \Rightarrow \dfrac{x^3}{(25)^3} = 1[/tex]

or

[tex]x^3 =(25)^3 \Rightarrow x = \pm25[/tex]

Since we are rotating the functions around the y-axis, we are going to use the x = 25 solution as one of the limits. So the expression for the volume of revolution around the y-axis is

[tex]\displaystyle V = 2\pi\int_0^{25}{x\left(\sqrt{25x} - \frac{x^2}{25}\right)}dx[/tex]

[tex]\displaystyle\:\:\:\:=10\pi\int_0^{25}{x^{3/2}}dx - \frac{2\pi}{25}\int_0^{25}{x^3}dx[/tex]

[tex]\:\:\:\:=\left(4\pi x^{5/2} - \dfrac{\pi}{50}x^4\right)_0^{25}[/tex]

[tex]\:\:\:\:=4\pi(3125) - \pi(7812.5) = 14726.2[/tex]

Answer:

C

Step-by-step explanation:

Answer:

f^6h^6

Step-by-step explanation:

f^9 h^23

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

f^3 h^17

We know a^b / a^c = a^(b-c)

f^9 / f^3 = f^(9-3) = f^6

h^23 / h^17 = h^(23-17) = h^6

f^6h^6

Answer:

x^2 - 7x - 30 = 0

Step-by-step explanation:

since solutions are 10 and -3

a factorised quad eqn can be formed:

(x-10)(x+3)=0

expand the eqn

x^2-7x-30 = 0 is the answer

Answer:

The solutions are y=0, -5/2

Step-by-step explanation:

-3y(2y+5)=0

We can use the zero product property

-3y =0  2y+5 =0

y =0     2y = -5

             y = -5/2

The solutions are y=0, -5/2

Answer:

30.10

Step-by-step explanation:

First find the amount of tax

28 * 7.5%

28 * .075

2.10

Add this to the price of the pants

28+2.10 =30.10

9514 1404 393

Answer:

Step-by-step explanation:

The factor 10^-6 can be brought out:

  ((5.5 +6.3)×10^-6)^2 = (11.8^2)×10^-12 = 1.3924×10^-10

Often, a problem like this wants you to round to a precision appropriate to the given values. Here, that is 2 significant figures:

  ≈ 1.4×10^-10

_____

Additional comment

Your scientific or graphing calculator can do this nicely, even showing you the result in scientific notation. A spreadsheet can do the same.

The usual rules of exponents apply.

  (a^b)(a^c) = a^(b+c)

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

Answer:

507,640,142,072

Step-by-step explanation:

not sure what you are asking but I hope this helps! :D

Answer:

a

Step-by-step explanation:

B isn't a geometric sequence as it's last term doesn't follow the rule

C is an arithmetic sequence

D is an arithmetic sequence too