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4 years ago

Student

Mathematics

2 answers:

kvv77 [185]4 years ago

8 0

Answer:

D 18

Step-by-step explanation:

2(6+3) = 18 units

ira [324]4 years ago

8 0

D 18 step by step explanation

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Solve the equation for x.<br> 1/3 (6x - 15) = 1/2 (10x-4)

Readme [11.4K]

Answer:

Step-by-step explanation:

$\frac{1}{3} (6x - 15) = \frac{1}{2} (10x - 4)$

Expand the terms in the bracket

That's

$\frac{1 }{3} \times 6x + \frac{1}{3} ( - 15) = \frac{1}{2} (10x) + \frac{1}{2} ( - 4) \\ 2x - 5 = 5x - 2$

<u>Subtract 5x from both sides</u>

$2x - 5x - 5 = 5x - 5x - 2 \\ - 3x - 5 = - 2$

<u>Add 5 to both sides</u>

$- 3x - 5 + 5 = - 2 + 5 \\ - 3x = 3$

<u>Divide both sides by - 3</u>

$\frac{ - 3x}{ - 3} = \frac{3}{ - 3}$

We have the final answer as

Hope this helps you

3 0

3 years ago

Oliver drove the first 90 miles of his journey in 1.5 hours and the remaining 120 in 3 hours. What was the average speed on the

ikadub [295]

Creo que la respuesta es C. No soy bueno con el inglés, pero eso es lo que pienso. Lo siento si está mal.

6 0

3 years ago

Read 2 more answers

Write a word sentence for the equation x-14=52

Anarel [89]

If Anna gives 14 candies to her sister, she remains with 52. How many candies does Anna have ?
x-14=52|+14
x=52+14
x=66 candies

8 0

4 years ago

Read 2 more answers

40 POINTS !! 40 POINTS !!<br><br> PLEASE HELP , DONT SKIP !<br><br> NO LINKS OR FILES.

Mnenie [13.5K]

Answer:

2 feet of fabric

Step-by-step explanation:

4 0

3 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y

lubasha [3.4K]

First find a parameterization for the curve of intersection.

Given the equation of a cylinder, a natural choice for a parameterization would be one utilizing cylindrical coordinates. Here,

$16x^2+y^2=16\implies x^2+\left(\dfrac y4\right)^2=1$

which suggests we could use

$\begin{cases}x(t)=\cos t\\y(t)=4\sin t\\z(t)\end{cases}$

with $0\le t\le2\pi$ , and we get $z(t)$ from the equation of the plane,

$x+y+z=12\implies z(t)=12-x(t)-y(t)=12-\cos t-4\sin t$

Now use the arc length formula:

$\displaystyle\ell=\int_0^{2\pi}\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dz}{\mathrm dt}\right)^2}\,\mathrm dt$

$\displaystyle\ell=\int_0^{2\pi}\sqrt{\sin^2t+16\cos^2t+(\sin t-4\cos t)^2}\,\mathrm dt$

$\displaystyle\ell=\sqrt2\int_0^{2\pi}\sqrt{\sin^2t-4\cos t\sin t+16\cos^2t}\,\mathrm dt\approx\boxed{24.0878}$

4 0

4 years ago