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Andrews [41]
3 years ago
8

In a class full of men and women, 2/9 of the class are women. What is the ratio of men to

Mathematics
1 answer:
RUDIKE [14]3 years ago
6 0

Answer:

2:7

Step-by-step explanation:

if 2/9 of the class are women then 7/9 of the class are men.

\frac{2}{9}:\frac{7}{9}\\ 2*9:7*9\\18:63\\\frac{18}{9}:\frac{63}{9}\\2:9

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bezimeni [28]

Answer:

I'm pretty sure its $19.65

8 0
3 years ago
A recipe for snack mix call for 4 3/4 cups of cereal the amount of peanuts needed is 1 and 2/3 cups less than the amount of cere
BaLLatris [955]

Answer: 1st question=3 1/12 2nd question=6.4166667

Step-by-step explanation: Please correct me if I’m wrong, if I’m right, thank me.

8 0
3 years ago
Read 2 more answers
Find an equation of the plane that contains the points p(5,−1,1),q(9,1,5),and r(8,−6,0)p(5,−1,1),q(9,1,5),and r(8,−6,0).
topjm [15]
Given plane passes through:
p(5,-1,1), q(9,1,5), r(8,-6,0)

We need to find a plane that is parallel to the plane through all three points, we form the vectors of any two sides of the triangle pqr:
pq=p-q=<5-9,-1-1,1-5>=<-4,-2,-4>
pr=p-r=<5-8,-1-6,1-0>=<-3,5,1>

The vector product pq x pr gives a vector perpendicular to both pq and pr.  This vector is the normal vector of a plane passing through all three points
pq x pr
=
  i   j   k
-4 -2 -4
-3  5  1
=<-2+20,12+4,-20-6>
=<18,16,-26>

Since the length of the normal vector does not change the direction, we simplify the normal vector as
N = <9,8,-13>

The required plane must pass through all three points.
We know that the normal vector is perpendicular to the plane through the three points, so we just need to make sure the plane passes through one of the three points, say q(9,1,5).

The equation of the required plane is therefore
Π :  9(x-9)+8(y-1)-13(z-5)=0
expand and simplify, we get the equation
Π  :  9x+8y-13z=24

Check to see that the plane passes through all three points:
at p: 9(5)+8(-1)-13(1)=45-8-13=24
at q: 9(9)+8(1)-13(5)=81+9-65=24
at r: 9(8)+8(-6)-13(0)=72-48-0=24
So plane passes through all three points, as required.

3 0
3 years ago
Substiution method: y + 9 = 1/5x and
uranmaximum [27]
Y+9=1/5x menjadi y= 1/5x -9
sesudah ini sibtusika n dalam persamaan 4x - 5y = -15x
<span>                                                             4x -5(1/5x-9)= -15 x
                                                             4x + x+45=-15x
                                                             5x +45 = -15x                                                                                                            45=-20x 
                                                              x=-45/20
                                                              x= -9/4
 
 y+9 =1/5x
   y      = 1/5(-9/4)-9
      y     = -189/20
  (-</span>9/4,-189/20)
4 0
3 years ago
A car is traveling at a speed of 79 feet per second. (a) what is its speed in kilometers per hour?
AysviL [449]
79 ft/s = 0.0240792 km/s

0.0240792 x 60 = 1.444752 km/minute
<span>1.444752 x 60 = </span><span>86.68512 km/hour
</span>
Ans: 86.69 km/h
6 0
3 years ago
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