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2 years ago

42 is 9 more than 3 times a number. what is the number?

Mathematics

2 answers:

Roman55 [17]2 years ago

6 0

_Award brainliest if helped!
Let Unknown number be X ,

42 = 9 + 3(X)
42-9 = 3X
33 = 3X
X = 11
The number is 11

yuradex [85]2 years ago

3 0

Equation: 3x+9=42

3x=42-9=33

Answer: x=33/3=11

Hope this helps!!

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Use cylindrical coordinates. find the volume of the solid that is enclosed by the cone z = x2 + y2 and the sphere x2 + y2 + z2 =

sashaice [31]

Let $R$ be the solid. Then the volume is

$\displaystyle\iiint_R\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$

which follows from the facts that

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=\zeta\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm d\theta\,\mathrm d\zeta$
(by computing the Jacobian)

and

$z=x^2+y^2=r^2\implies z+z^2=72\implies z=-9\text{ or }z=8$
(we take the positive solution, since it's clear that $R$ lies above the $x$ - $y$ plane)
$r^2+z^2=72\implies z=\pm\sqrt{72-r^2}$
(again, taking the positive root for the same reason)
$z=r^2\implies 8=r^2\implies r=\sqrt8$

$\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}r(\sqrt{72-r^2}-r^2)\,\mathrm dr$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}(r\sqrt{72-r^2}-r^3)\,\mathrm dr$
$=\dfrac{32(27\sqrt2-35)\pi}3$

7 0

3 years ago

A television is advertised for K2000 cash or on terms of 10% deposit and K80 per month for 3

lilavasa [31]

Answer:

a. K3080

Step-by-step explanation:

K2000×10/100=K200

K80×36months=2880

K2880+K200=K3080

3 0

3 years ago

PLZ help thanks!!!! A shipment of 10 tons of sugar is separated into containers of equal size. If the shipment fills 3 3/4 conta

slava [35]

Answer:

20,000/334 = 59.88, so each container can hold 60 pounds of sugar

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Cuál es el menor número entero que, disminuido en 8, resulta menor que su triple

Mars2501 [29]

Answer:

-3

Step-by-step explanation:

Let x = the number

Then 3x = its triple, and the condition is:

x - 8 < 3x

Subtract x from each side

-8 < 2x

Divide each side by 2

-4 < x

Reverse the inequality

x > -4

The smallest integer greater than -4 is -3.

Check:

-3 - 8 < 3(-3)

-11 < -9

It checks.

5 0

3 years ago

20 square root of 270 /4 square root of 3

OleMash [197]

Answer:

The most simplified form is 15√10

Step-by-step explanation:

1. Let's simplify the expression:

20√270 ÷ 4√3

20√9 * 30/ 4√3 (√270 = √9 * 30)

60 √30/ 4√3

(60 √3 * √10) / 4√3 (√30 = √3 * √10)

60/4 √10 ( We cancel √3 in the numerator and in the denominator)

15√10

The most simplified form is 15√10

6 0

3 years ago