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liubo4ka [24]
3 years ago
6

The ratio of boys to girls in Mrs. Miller's class is 2:3. If there are 8 boys in her class, how many girls are there?​

Mathematics
1 answer:
Alenkasestr [34]3 years ago
7 0

Answer:12

for every 2 boys that is 3 girls

there are 4 sets of two boys so you would have 4 sets of 3 girls

4×3=12

I hope this is good enough:

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the volume of a cone is 36π cubic units. What is the volume of a cylinder that has the same base area and the same height?
ExtremeBDS [4]
V_cone = 1/3 pi * r^2 * h
V_cylinder = pi*r^2*h

If you multiply the cone's volume by 3 then you get the cylinder's volume. They become the same formula
3 V_cone = pi r^2 h
Since the cone's volume is 36pi They cylinder's volume is 3*36pi = 108 pi
6 0
3 years ago
Define f(0,0) in a way that extends f to be continuous at the origin. f(x, y) = ln ( 19x^2 - x^2y^2 + 19 y^2/ x^2 + y^2) Let f (
kirill115 [55]

Answer:

f(0,0)=ln19

Step-by-step explanation:

f(x,y)=ln(\frac{19x^2-x^2y^2+19y^2}{x^2+y^2}) is given as continuous function, so there exist lim_{(x,y)\rightarrow(0,0)}f(x,y) and it is equal to f(0,0).

Put x=rcosA annd y=rsinA

f(r,A)=ln(\frac{19r^2cos^2A-r^2cos^2A*r^2sin^2A+19r^2sin^2A}{r^cos^2A+r^2sin^2A})=ln(\frac{19r^2(cos^2A+sin^2A)-r^4cos^2Asin^a}{r^2(cos^2A+sin^2A)})

we know that cos^2A+sin^2A=1, so we have that

f(r,A))=ln(\frac{19r^2-r^4cos^2Asin^a}{r^2})=ln(19-r^2cos^2Asin^2A)

lim_{(x,y)\rightarrow(0,0)}f(x,y)=lim_{r\rightarrow0}f(r,A)=ln19

So f(0,0)=ln19.

8 0
3 years ago
Help pls no links I'll give briliantest to who ever gives me the right answer ​
gladu [14]

Answer:

A. 57 7/9

Step-by-step explanation:

4  1/3 x  3  1/3 = 14  4/9

14 4/9 x 4 = 57 7/9

6 0
3 years ago
Simplify.<br> 7x +84/(x + 12)(x+10)
Tasya [4]

Answer:

{7x^2+168x+840}/{x+12}

Step-by-step explanation:

3 0
3 years ago
I NEED HELP ASAP:
olga55 [171]
First, you have to do some factorization

60 = {1,2,3,4,5,6,10,12,15,20,30,60}
72 = {1,2,3,4,6,8,9,12,18,24,36,72}

the GCF is 12

now we find the number that you multiply by 12 to get 60 and another number to get 72.

12 x 5 = 60
12 x 6 = 72

now we notice if you add 60 + 72, we can now tell that it also equals (12)(5)+(12)(6)= 12(5+6)
6 0
4 years ago
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