Given that
X2: (20 – 3x) = 1 : 2
find the possible values of x.​

Answer:

x=6

Step-by-step explanation:

Simplifying

x + 15 = 21

Reorder the terms:

15 + x = 21

Solving

15 + x = 21

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + x = 21 + -15

Combine like terms: 15 + -15 = 0

0 + x = 21 + -15

x = 21 + -15

Combine like terms: 21 + -15 = 6

x = 6

Simplifying

x = 6

HOPE THIS HELPS :)

the answer is B 87.5

Answer:

16 Bicycles

Step-by-step explanation:

Answer:

Part A

The circumference of the circular pie before the slice was cut out is approximately 69.1 inches

Part B; The area of the circular pie before the slice was cut out is approximately 380 in.²

Part C

The area of the slice of pie that was cut out in approximately 40 in.²

Part D;

The length of the crust for the slice of pie is approximately 7 inches

Step-by-step explanation:

Part A

The shape of the pie = Circular shape

The radius of the pie, r = 11 inches

The circumference of a circle = 2·π·r

Therefore, we have;

The circumference of the circular pie before the slice was cut out, 'C', is given as follows;

Where;

r = 2 inches

C = 2 × π × 11 inches  = 22·π inches ≈ 69.115 inches

The initial circumference of the circular, C ≈ 69.115 inches

To the nearest tenth of an inch, we have;

The initial circumference of the circular, C ≈ 69.1 inches

Part B; The area of a circle, A = π·r²

Therefore;

For the circular pie before the slice was cut out, A = π·(11 in.)² ≈ 380.133 in.²

To the nearest square inch, we have;

The area of the circular pie before the slice was cut out, A ≈ 380 in.²

Part C

The area of the slice of the pie that was cut out, A is given by the area of a sector of a circle as follows;

[tex]The \ area \ of \ a \ sector, A = \dfrac{\theta}{360 ^{\circ}} \times \pi \cdot r^2[/tex]

The angle of the sector formed by the slice of pie that was cut out, θ = 38°

Therefore, the area of the slice of pie that was cut out, 'A', to the nearest tenth of a square inch  is given as follows;

A = 38/360 × π × (11 in.²) = 40 in.²

The area of the slice of pie that was cut out, A = 40 in.²

Part D;

The length of the crust of the slice of pie that was cut out is given by the arc length of the sector of the circular pie the slice of pie represent as follows;

[tex]Arc \ length = \dfrac{\theta}{360 ^{\circ}} \times 2\cdot \pi \cdot r[/tex]

Therefore for the slice of pie, to the nearest inch, we have;

[tex]Arc \ length = \dfrac{38 ^{\circ}}{360 ^{\circ}} \times 2\times \pi \times 11 \, in. \approx 7 \, in.[/tex]

The length of the crust for the slice of pie ≈ 7 in.

Answer:

should be A sorry if I'm wrong

Answer:

80

Step-by-step explanation:

multiply both sides by 5

3x +50 = 4x -30

combine like terms

-x = -80

x = 80

Answer:

V = 53.7 m/s ∠-21.41°

Step-by-step explanation:

Since the stone's initial vertical velocity, u is 0m/s(since it is thrown horizontally), we find the stone's final vertical velocity, v from v = u - gt  where u and v have the meanings as given above, g = acceleration due to gravity = 9.8 m/s² and t = time = 2 s

So, v = u - gt

v = 0 m/s - 9.8 m/s² × 2 s

v = 0 m/s - 19.6 m/s

v =  - 19.6 m/s

Since the stone's horizontal velocity is u' = 50 m/s, we find the resultant magnitude of velocity V from V = √(u'² + v²)

So, V = √((50 m/s)² + (-19.6 m/s)²)

V = √(2500 m²/s² + 384.16 m²/s²)

V = √(2884.16 m²/s²)

V = 53.7 m/s

Its direction Ф = tan⁻¹(v/u')

Ф = tan⁻¹(-19.6 m/s/50 m/s)

Ф = tan⁻¹(-0.392)

Ф = -21.41°

So it velocity V = 53.7 m/s ∠ -21.41°

17 1/4 = p - 2 3/4

To solve for p add 2 3/4 to both sides

P = 17 1/4 + 2 3/4

P = 20

Answer:

[tex]Total = 625x^3 + 125x^2 + 125x[/tex]

Step-by-step explanation:

Given

[tex]Flowers = 25x^2 + 5x + 5[/tex]

[tex]Unit\ price = 5x[/tex]

Required

The total price for 5 days

First, calculate the total for a day.

[tex]1\ day = Unit\ price * Flowers[/tex]

[tex]1\ day = 5x * (25x^2 + 5x + 5)[/tex]

Open bracket

[tex]1\ day = 125x^3 + 25x^2 + 25x[/tex]

For 5 days, the total will be.

Total = days * sales of a day

So, we have:

[tex]Total = 5 * [ 125x^3 + 25x^2 + 25x][/tex]

[tex]Total = 625x^3 + 125x^2 + 125x[/tex]

1 / 5

I like orange juice.

Answer:

k=3 is your answer

Step-by-step explanation:

given equation :

9x²+12xy+(k+1)y²=0

comparing above equation with

ax²+2hxy+by²

we get

a=9

h=12/2=6

b=k+1

since lines are coincident

ø=0

Tan0=±[2√(h²-ab)]/(a+b)

we get

h²=ab

6²=9(k+1)

36/9=k+1

4=k+1

k=4-1=3

The value of k will be;

⇒ k = 3

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The pair of equation is,

⇒ 9x² + 12xy + (k + 1)y² = 0

Now,

We know that;

The condition of coincide of pair of line ax² + 2hxy + by² = 0 is,

⇒ h² = ab

So, For the equation of the pair of line 9x² + 12xy + (k + 1)y² = 0, we have;

⇒ 2h = 12

⇒ h = 6

⇒ a = 9

⇒ b = (k + 1)

Substitute all the values in given condition for coincide , we get;

⇒ h² = ab

⇒ 6² = 9 (k + 1)

⇒ 36/9 = k + 1

⇒ 4 = k + 1

⇒ k = 4 - 1

⇒ k = 3

Thus, The value of k = 3

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

Answer:

Fred's age: 26    Natalie's age: 15

Step-by-step explanation:

    F + N = 41

-)  F + 3N = 71

____________

=> -2N = -30

=> N = 15

F + 15 = 41 => F = 26

Answer:

You would get a trapezoid shape.

Step-by-step explanation:

Answer:

Lilly, since the angles are the same we can set the equal to each other, that's the "trick" of this problem

Step-by-step explanation:

3x + 50 = 6x - 10

3x + 60 = 6x

60 = 3x

20 = x

see how I got that?

Answer:

25

Step-by-step explanation:

number of teachers that got an equal amount = total loves of bread ÷ fraction the bread is shared

5 ÷ 1/5

5 x 5 = 25

Answer:

C) 12.5

 The length of BC = 12.5cm

Step-by-step explanation:

Step(i):-

Given that  ΔABC

Given that  AB =  15cm and ∠A =  40°

we will use trigonometric function

                     [tex]tan x = \frac{oppositeside}{adjacentside}[/tex]

                   [tex]tan 40^{0} = \frac{BC}{AB} = \frac{BC}{15}[/tex]

Step(ii):-

we know that tan40° = 0.83909

                 [tex]tan 40^{0} = \frac{BC}{15}[/tex]

                BC =  15 × tan 40°

                BC = 12.58649

                BC = 12.5cm

Final answer:-

 The length of BC = 12.5cm

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{4\times4\times 4\times5\times5}[/tex]

[tex]\mathsf{4\times4 = \bf 16}[/tex]

[tex]\mathsf{\bold{16} \times 4\times 5\times 5}[/tex]

[tex]\mathsf{16\times4 = \bf 64}[/tex]

[tex]\mathsf{\bold{64}\times5\times5 }[/tex]

[tex]\mathsf{64\times5 = \bf 320}[/tex]

[tex]\mathsf{\bold{320}\times5}[/tex]

[tex]\mathsf{= \bf 1,600}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \underline{\huge \bf 1,600}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

C) (7.1)^13

Step-by-step explanation:

When you multiply numbers with the same bases but different exponents, the base stays the same, but the exponents get added:

a^x*a^y=a^(x+y)

(7.1)^6*(7.1)^7=(7.1)^(6+7)=(7.1)^13

Therefore, the correct answer is C) (7.1)^13

Answer:

C

Step-by-step explanation:

When multiplying numbers with exponents, you always add the exponents.

7.1^6+7

7.1^13

Hence, C

Hope it helps!

Answer:

Hello! Your answer would be D) 14 4/9

Step-by-step explanation:

Hope I helped! Brainiest plz!♥

Have a nice morning! -Abby

Answer:

It is D

Step-by-step explanation:

Answer: 31.4 mm

Step-by-step explanation:

C=2πr

2(3.14)(5)

2(15.7)

31.4

Answer:

216 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area of a trapezoid = 1/2h([tex]b_{1} + b_{2}[/tex]) = 1/2(12)(14 + 22) = 6(36) =216 [tex]cm^{2}[/tex]

Answer:

25

Step-by-step explanation:

the value of "x" is 5 and the value of "y" is 12

Answer:89

Step-by-step explanation:

Multiply 27 by 3, then add 8 to your answer and you get 89

Answer:

Step-by-step explanation:

25 - 32 = -7  and 18 - 25 = -7

It means an arithmetic sequence with common difference d = -7

[tex]a_n = a_1+d(n-1)\\\\a_1=32\\d=-7\\\\a_n=32+(-7)(n-1)\\\\a_n = 32-7n+7\\\\\underline{a_n=-7n+39}[/tex]

Step-by-step explanation:

this is simple use it and enjoy

Step-by-step explanation:

Let x be the first number

Let y be the 2nd number

given,

[tex]x = 3y - 11 \\ x - 3y = - 11[/tex]

as equation 1

and

[tex]x + y = 25[/tex]

as equation 2.

Now we will use elimination method to solve for simultaneous equations.

We will use equation 1 - equation 2 to eliminate x to solve for y.

[tex]x - x - 3y - y = - 11 - 25 \\ - 4y = - 36 \\ y = - 36 \div - 4 \\ = 9[/tex]

Substitute y into equation 2.

[tex]x + 9 = 25 \\ x = 25 - 9 \\ = 16[/tex]

The numbers are 9 and 16.

Answer:

Volume of the cylinder is 588π cm³ Or 1846.32 cm³

Step-by-step explanation:

Area of a cylinder is given by the formula,

Volume = πr²h

Here, r = Radius of the circular base

h = Height of the cylinder

From the picture attached,

Radius of the given cylinder = 7 cm

Height of the cylinder = 12 cm

By substituting these values in the formula,

Volume of the cylinder = π(7)²(12)

                                      = 588π cm³

                                      ≈ 1846.32 cm³

Therefore, volume of the cylinder is 588π cm³ Or 1846.32 cm³.