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1 year ago

A number when added to it's two thirds is equal to 55 find the number

Mathematics

1 answer:

tatyana61 [14]1 year ago

8 0

Answer:

<h2>Let the number is = X </h2><h2>Two thirds of the number = 2x/3</h2><h2 /><h2>According to the problem given,</h2><h2>x+ 2x/3 = 55</h2><h2>( 3x + 2x ) /3 = 55</h2><h2>5x /3 = 55</h2><h2>x = ( 55 × 3 ) /5</h2><h2>x = 11 × 3</h2><h2>x = 33 </h2>

<h2>Therefore,</h2><h2>Required number = x = 33</h2>

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steposvetlana [31]

The two curves $y=x$ and $y=x^{1/15}$ intersect at $x=0$ and $x=1$ , with $x^{1/15}\ge x$ over $0\le x\le1$ .

Washer method

$\displaystyle\pi\int_0^1\left(\left(x^{1/15}\right)^2-x^2\right)\,\mathrm dx=\pi\int_0^1\left(x^{2/15}-x^2\right)\,\mathrm dx=\pi\left(\frac{15}{17}-\frac13\right)=\boxed{\frac{28\pi}{51}}$

Shell method

We have $y=x^{1/15}\implies x=y^{15}$ . The curves $x=y$ and $x=y^{15}$ intersect at $y=0$ and $y=1$ , with $y\ge y^{15}$ over $0\le y\le1$ .

$\displaystyle2\pi\int_0^1y\left(y-y^{15}\right)\,\mathrm dy=2\pi\int_0^1\left(y^2-y^{16}\right)\,\mathrm dy=2\pi\left(\frac13-\frac1{17}\right)=\boxed{\frac{28\pi}{51}}$

6 0

2 years ago

How to write 5.85 as a percent

Olenka [21]

The answer would be 585%

8 0

2 years ago

Read 2 more answers

1) A projectile is thrown upward so that its distance above the ground after t seconds is

leonid [27]

Answer:

After 22 seconds the projectile reach its maximum height of 4,840 units

Step-by-step explanation:

we have

$h(t)=-10t^{2}+440t$

This is a vertical parabola downward (because the leading coefficient is negative)

The vertex is a maximum

Find out the coordinates of the vertex

Convert the quadratic equation in vertex form

Factor -10

$h(t)=-10(t^{2}-44t)$

Complete the square

$h(t)=-10(t^{2}-44t+22^2)+(10)(22^2)$

$h(t)=-10(t^{2}-44t+22^2)+4,840$

Rewrite as perfect squares

$h(t)=-10(t-22)^{2}+4,840$

The vertex is the point (22,4,840)

therefore

After 22 seconds the projectile reach its maximum height of 4,840 units

4 0

2 years ago

Which ratio is porportional to 18/21? A.2/3 B. 30/35 C. 36/48 D.1/3

defon

You can solve this problem by applying the proccedure below:

You have:

a) 18/21=2/3
18x3/21x2
36≠42 (2/3 is not proportinal to 18/21).

b)18/21=30/35
18x35/21x30
630=630 (30/35 is proportional to 18/21)

c)18/21=36/48
18x48/21x36
864≠756 (36/48<span> is</span><span> not proportinal to 18/21)
</span>
d)18/21=1/3
18x3/21x1
54≠21 (<span> 1/3 is</span><span> not proportinal to 18/21)
</span>
Therefore, you can conclude that the correct option is: B.30/35

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2 years ago

Brooke's bedroom has an area of 36 square feet. The bedroom is 6 times as many square feet as Brooke's closet. If the closet is

denis23 [38]

Answer:

195

Step-by-step explanation:

Because 36 x 6 = 192 + 3 = 195

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2 years ago