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Galina-37 [17]
3 years ago
6

Karen made 40 cakes

Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0
1. You have that Karen made 40 cakes and she gives 1/5 to Andrew and 10% to Chris, then you have:

 40 cakes=5/5=1
 1/5 to Andrew⇒40x1/5=8
 10% to Chris=40x0.10=4

 1/5----8 
    x----4 

 x=4(1/5)/8
 x=1/10

 2. The fraction of the 40 cakes that she have left is:

 1-1/5-1/10

 Therefore, the answer is: 7/10
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Well, since a is Susan’s current age, we would add three to a to get her age in three years
So our expression would be:
a + 3
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ANYONE PLEASE HELP!!
lapo4ka [179]

Answer:

A

Step-by-step explanation:

Corresponding angles are angles that you can follow down the transversal and they will land in the same spot on the other parallel line.  Look at angle 8.  It is the bottom left angle in the group of 4 angles around it.  If you slide it to the left it would land right on top of angle 4 which is also in the bottom left of its group of 4 angles.

You can do the same thing taking angle 8 down to angle 12.

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Sa se gaseasca numerele a si b a caror medie aritmetica este 200 si care sunt invers proportionale cu 8 si respectiv 4,5.
Olenka [21]
Bonjour, (as you write in roumain)

Soient a et b les 2 nombres

(a+b)/2=200==>a+b=400

8/a=4.5/b==>16b=9a

a+9a/16=400
==> 25a/16=400
==>a=400*16/25
==>a=256
et b= 9*256/16; b=144

3 0
3 years ago
Find the equation for the plane through the points Po(3,-2,5), Qo(-3,-1,-5) and Ro(0,-4,4). The equation of the plane is:_______
ratelena [41]

Answer:

21x-24y-15z=36

Step-by-step explanation:

The equation of a plane is given a s

ax+by+cz=d

where a,b,c and d are  gotten from the vector product of the vector define by subtracting  one of the given points from the other two

Hence we define the vectors as follow  

<3,-2,5> - <-3,-1,-5> = <6,-1,10>

also <0,-4,4> - <-3,-1,-5>=<3,-3,9>

Next we need to carry out the cross product of the newly formed vector

<6,-1,10> X <3,-3,9> =<21,-24,-15>

The newly formed vector is in orthogonal to both vector and in  direction to the normal vector to the plane.

Since ax+by+cz=d  is the normal vector, we can conclude that

a=21, b=-24 c=-15

Hence we have

21x-24y-15z=d

if we plug in the point <-3,-1,-5> to solve for "d" we arrive at

21(-3)-24(-1)-15(-5)=36

Hence the final equation is

21x-24y-15z=36

3 0
3 years ago
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