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3 years ago

Simplify (7/3 multiplied by 11/3) divided by 1/3

Mathematics

2 answers:

Flura [38]3 years ago

7 0

Answer:

25.7

Step-by-step explanation:

Hope this helps.

Vera_Pavlovna [14]3 years ago

4 0

Answer:

25 2/3

Step-by-step explanation:

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Mr & Mrs Brown bought a new kitchen table for $450 it was 75% of the original price determine the original price of the kitc

Lena [83]

The answer is $112.50.
If you take $450 and divide it by 0.75 you get 337.5 and you subtract that from the original $450.

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3 years ago

X/9 = 8<br><br> step to step

ollegr [7]

Answer:

x=72

Step-by-step explanation:

Multiply both sides by 9 (x=8 times 9)

- = 8

Let x = 72

_ =8

8=8

Therefore x =72

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3 years ago

On a hot day, a football team drank an entire 40-gallon cooler of water and half as much again. How much water did they drink?

nignag [31]

Answer:

60 gallons

Step-by-step explanation:

40+1/2*40=40+20=60

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3 years ago

Find all solutions to the equation in the interval [0,2n) cos x = sin 2x

Serggg [28]

Answer:

$\huge\boxed{x\in\left\{\dfrac{\pi}{6};\ \dfrac{\pi}{2}\ \dfrac{3\pi}{2};\ \dfrac{5\pi}{6}\right\}}$

Step-by-step explanation:

$\cos x=\sin2x\qquad|\text{use}\ \sin\theta=2\sin\theta\cos\theta\\\\\cos x=2\sin x\cos x\qquad|\text{subtract}\ \cos x\ \text{from both sides}\\\\0=2\sin x\cos x-\cos x\\\\2\sin x\cos x-\cos x=0\qquad|\text{distribute}\\\\\cos x(2\sin x-1)=0\iff\underbrace{\cos x=0}_{(1)}\ \vee\ \underbrace{2\sin x-1=0}_{(2)}$

$(1)\\\cos x=0\Rightarrow x=\dfrac{\pi}{2}+k\pi;\ k\in\mathbb{Z}$

$(2)\\2\sin x-1=0\qquad|\text{add 1 to both sides}\\\\2\sin x=1\qquad|\text{divide sides by 2}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi$

$\text{From}\ (1)\ \text{and}\ (2)\ \text{we have}\\\\x=\dfrac{\pi}{2}+k\pi\ \vee\ x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi\\\\\text{We have the interval}\ x\in[0;2\pi).\ \text{Therefore the solution is:}\\\\x\in\left\{\dfrac{\pi}{6};\ \dfrac{\pi}{2}\ \dfrac{3\pi}{2};\ \dfrac{5\pi}{6}\right\}$

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3 years ago

Given that AD is the perpendicular bisector of BC, AB=15, AC=x, and BD=0.25x, identify BC.

zvonat [6]

Answer:

The answer is 7.5

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers