MATHEMATICS HIGH SCHOOL

Solve for n. Round to the nearest tenth, if necessary.

47/n = 36/54

Answers

Answer 1
Answer: (36)/(54)=(36:18)/(54:18)=(2)/(3)\n\n(47)/(n)=(2)/(3)\ \ \ |cross\ multiply\n\n2\cdot n=3\cdot47\n\n2n=141\ \ \ \ |divide\ both\ sides\ by\ 2\n\nn=(141)/(2)\n\n\boxed{n=70.5}
Answer 2
Answer: 47/n = 36/54 

47/n=2/3 

47=2/3n 

47=2n/3 

47*3=2n 

141=2n

141/2=n

Decimal Form: 70.5

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6/(x+1)-5/2=6/(3x+3)

Find co-ordinates of (2,3) after it is rotated 240 degrees clockwise about the origin?

Answers

x'=x\cos\theta-y\sin\theta\ny'=x\sin\theta+y\cos\theta\n\n x'=2\cdot\cos 240-3\cdot\sin240\n x'=2\cdot(-(1)/(2))-3\cdot(-(\sqrt3)/(2))\n x'=-1+(3\sqrt3)/(2)\n y'=2\cdot\sin 240+3\cdot\cos 240\n y'=2\cdot(-(\sqrt3)/(2))+3\cdot(-(1)/(2))\n y'=-\sqrt3-(3)/(2)\n\n (-1+(3\sqrt3)/(2),-\sqrt3-(3)/(2))

What is the product of 0.9 and 6?

Answers

5.4
9*6 is 54 so 0.9*6 is 5.4
5.4 is your answer hop that helps

If two lines are perpendicular and they are defined by the equations, y=2x-3 and y=ax+2, what is the value of a?

Answers

Answer:

a = - (1)/(2)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 3 ← is in slope- intercept form

with slope m = 2

given a line with slope m then the slope of a line perpendicular to it is

m_(perpendicular) = - (1)/(m) = - (1)/(2)

Thus the value of a in the equation y = ax + 2 is a = - (1)/(2)

Can yall help meee please

Answers

Answer:

jupiters \: mass \: is \: approximatelty \: \n \boxed{{6 * 10}^(3) \: kg} \: times, \: \n more \: than \: mercurys \: mass

Step-by-step explanation:

............................................................... \n in \: other \: to \: get \: right \: ans \to \n you \: divide \: mass \: of \: jupiter \: by \: the \: mass \n \: of \: mercury : \: so \to \n ............................................................... \n jupiters \: mass = 1.898 { * 10}^(27) \: kg \n mercurys \: mass =3.3 * {10}^(23) \: kg \n their \: mass \: ratio \: is : \n = \frac{1.898 { * 10}^(27)}{3.3 * {10}^(23)} = 0.5751515152 * {10}^(4) = \n \boxed{5,751.515152} \n hence \: jupiters \: mass \: is \: approximatelty \: \n {6 * 10}^(3) \: times \: more \: than \: mercurys \: mass
6x103 because it explains that it’s 6 times but 10 in 3 times.

Compute the amount of interest earned in the following simple interest problem.A deposit of $1,600 at 6% for 180 days:

Answers

with 6% is 1,696. for 180 days, $305,280 
I=PRT
I=interest
P=principal
R=rate in decimal
T=time in yaers

365 days per year
t=180/365

given
P=1600
R=6%=0.06
T=180/365

I=1600*0.06*180/365
I=96*180/365
I=47.342

rounds to
Interst=$47.34

A yoga studio sells monthly memberships. the function f(x) = −x2 50x − 264 models the profit in dollars, where x is the number of memberships sold. determine the zeros, and explain what these values mean in the context of the problem.

Answers

The zeros represent the number of monthly memberships where no profit is made; x = 6, x = 44.

To determine the zeroes, calculate:

The function we have is: f(x) = -x^(2) +50x-264

That models the profit in dollars, where x is the number of memberships sold.

In order to get the zeros we'll use the quadratic formula:

x_(1,2) =(-b+-(b^(2)-4ac) )/(2a) \n

For,

a=-1,b=50,c=-264: x^(1,2) =\frac{-50+-\sqrt[]{50^(2) -4(-1)(-264)} }{2(-1)} \nx_(1) =\frac{-50+\sqrt[]{50^(2) -4(-1)(-264)} }{2(-1)} =\frac{-50+\sqrt[]{50^(2) -4*1*264} }{2(-1)}=\frac{-50+\sqrt[]{1444} }{-2} =6\nx_(2) =\frac{-50+\sqrt[]{50^(2) -4(-1)(-264)} }{2(-1)} =\frac{-50-\sqrt[]{50^(2) -4*1*264} }{2(-1)}=\frac{-50-\sqrt[]{1444} }{-2} =44\n

So, the zeroes are x=6, x=44.

Therefore, the zeros represent the number of monthly memberships where no profit is made; x = 6, x = 44.

Know more about a function here:

brainly.com/question/25638609

#SPJ4

The complete question is given below:

A yoga studio sells monthly memberships. The function f(x) = −x2 + 50x − 264 models the profit in dollars, where x is the number of memberships sold.

Determine the zeros, and explain what these values mean in the context of the problem.

x = 6, x = 44; The zeros represent the number of monthly memberships that produce a maximum profit.

x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made.

x = 25, x = 361; The zeros represent the number of monthly memberships where no profit is made.

x = 25, x = 361; The zeros represent the number of monthly memberships that produce a maximum profit.

Answer:

The answer is: x = 6, x = 44; The zeros represent the number of monthly memberships when no profit is made.
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