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2 years ago

if 500 oranges were shared among jack joseph and emily in the ratio of 3:3:4 respectively. what is emily's share?

Mathematics

1 answer:

Dominik [7]2 years ago

4 0

Answer:

200

Step-by-step explanation:

3+3+4=10

500/10=50

Jack 50*3=150

Joseph 50*3=150

Emily 50*4=200

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Not too sure about this one

elena-s [515]

Answer:

see explanation

Step-by-step explanation:

let y = f(x), then

y = 11x - 1

Interchange x and y and solve for y

x = 11y - 1 ( add 1 to both sides )

x + 1 = 11y ( divide both sides by 11 )

y = $\frac{x+1}{11}$ , hence

$f^{-1}$ (x) = $\frac{x+1}{11}$

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3 years ago

What is 1-2sin^2x=sinx <br> Please show steps and find all solutions in interval [0,2pi)

Svetlanka [38]

Answer:

$\large\boxed{x=\dfrac{3\pi}{2}\ \vee\ x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}}$

Step-by-step explanation:

$1-2\sin^2x=\sin x\\\\\text{substitute}\ t=\sin x,\ t\in[-1,\ 1]\\\\1-2t^2=t\qquad\text{subtract t from both sides}\\\\-2t^2-t+1=0\qquad\text{change the signs}\\\\2t^2+t-1=0\\\\2t^2+2t-t-1=0\\\\2t(t+1)-1(t+1)=0\\\\(t+1)(2t-1)=0\iff t+1=0\ \vee\ 2t-1=0\\\\t+1=0\qquad\text{subtract 1 from both sides}\\\boxed{t=-1}\\\\2t-1=0\qquad\text{add 1 to both sides}\\2t=1\qquad\text{divide both sides by 2}\\\boxed{t=\dfrac{1}{2}}$

$\sin x=-1\to x=-\dfrac{\pi}{2}+2k\pi,\ k\in\mathbb{Z}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}\\\\x\in[0,\ 2\pi)$

$x=-\dfrac{\pi}{2}\notin[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+2\pi=\dfrac{3\pi}{2}\in[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+4\pi=\dfrac{7\pi}{2}\notin[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}+2\pi=\dfrac{13\pi}{6}\notin[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}+2\pi=\dfrac{17\pi}{6}\notin[0,\ 2\pi)$

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3 years ago

X+y+2=-5 -2x-y+2=-1 x-2y-2=0 solve algebraically

Rina8888 [55]

Answer:

x+y+2=-5 -2x-y+2=-1 x-2y-2=0 solve algebraically

x+y+2=-5 equation 1

-2x-y+2=-1 equation 2

x-2y-2=0 equation 3

Add equation 1 + 2+ 3

x+y+2=-5 + -2x-y+2+1 + x-2y-2

x+y+2= -7+2+1-2x+x+y

x+y+2= -4-x+y

x+y+2+4+x-y= 0

2x+6= 0

2x= -6

divide both side by 2

x= -3

from equation 1 insert x

x+y+2=-5

since x=-3

then, -3+2+y= -5

-1+y= -5

y= -5+1

y= -4

Step-by-step explanation:

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3 years ago

What is 3/3 simplified

REY [17]

Answer:

three over three is simplified to be the value 1

Step-by-step explanation:

your answer is 1

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3 years ago

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Stephan added 26 new contacts to his phone list. He had to delete 16 old contacts before he could add any more. Stefan now has a

bezimeni [28]

Answer: 26-16= c

c=10

Step-by-step explanation:

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2 years ago

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if 500 oranges were shared among jack joseph and emily in the ratio of 3:3:4 respectively. what is emily's share?​

if 500 oranges were shared among jack joseph and emily in the ratio of 3:3:4 respectively. what is emily's share?