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2 years ago

11

Solve for X in the proportion below please help !!!

2 answers:

Stella [2.4K]2 years ago

7 0

Answer:

x=2

Step-by-step explanation:

40*x=16(2x+1) (we cross multiply)

40x=32x+16

8x=16

x=2

scoundrel [369]2 years ago

4 0

Answer:

x = 2

Step-by-step explanation:

$\frac{x}{2x+1} = \frac{16}{40}$

Step 1: Cross multiply

We want to eliminate all denominators, so we multiply the opposite numerators and denominators

$\frac{x}{2x+1} = \frac{16}{40}\\\\\\x\cdot40 = 16(2x + 1)\\\\\\40x = 32x + 16$

Step 2: Solve for x

Now we want x by itself, and we have to solve for x.

Move all terms with x on one side

$40x = 32x + 16\\\\\\40x - 32x = 16\\\\\\8x = 16$

Now remove all coefficients with x

$8x = 16\\\\8(x) = 16\\\\x = 16/8\\\\x = 2$

-Chetan K

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Y_Kistochka [10]

For this case, the first thing we should do is use the following equation:
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3 years ago

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Determine 2nd term and rth term of a.p.whose 6 th term is 12 and 8 th term is 22

Vanyuwa [196]

Answer:

see explanation

Step-by-step explanation:

The n th term of an arithmetic progression is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given $a_{6}$ = 12 and $a_{8}$ = 22, then

a₁ + 5d = 12 → (1)

a₁ + 7d = 22 → (2)

Subtract (1) from (2) term by term to eliminate a₁

2d = 10 ( divide both sides by 2 )

d = 5

Substitute d = 5 into (1) to find a₁

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a₁ = - 13

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3 years ago

He was given 35 euros for $45.00.what was the approximate exchange rate in euros per dollars?

Scorpion4ik [409]

Answer:

0.78 euros per dollar

Step-by-step explanation:

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(I found the answer from Nonicorp1 on Brainly)

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3 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

charle [14.2K]

<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units

<u>Solution-</u>

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ $\frac{dx}{dt} = -\sin t$

$\frac{dy}{dt} = 2 \cos t$

$\frac{dz}{dt} = \sin t-2cos t$

As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

∴ Arc length

$= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}$

$=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}$

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$

Now evaluating the integral using calculator,

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$ $= 13.5191$

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3 years ago