Answer:
m=1.5
Step-by-step explanation:
simultaneously
3m+9n=6
- m+9n=3
2m=3
m=1.5
First, some defintions
reciprocals are like a/b and b/a or 5/1 and 1/5
remember,

john's fraction is reciprocal of sarah's
john=a/b
sarah=b/a
david multiplies his by sarah and gets 12/35
(b/a)(david)=12/35
multplies his number by john and gets 12/35
(a/b)(david)=15/7
hmmm
(b/a)(david)=12/35 and
(a/b)(david)=15/7
if we divide them then we do





square root both sides

therefor
b=2 and a=5
john's number is a/b=5/2
sarah's number is 2/5
david, hmm
sarah times david=12/35
2/5 times david=12/35
times both sides by 5/2
david=60/70
david=6/7
check other
john times david=15/7
5/2 times 6/7=15/7
30/14=15/7
15/7=15/7
true
sarah's favorite number is 2/5
john's favorite number is 5/2
david's favorite number is 6/7
Answer:
23 cupcakes
Step-by-step explanation:
Volume is the key to this question;
Calculate the volume of the cupcake;
3 × 3 × 3 = 27 inches^3
Then the volume of the box;
15 × 7 × 6 = 630 inches^3
Then divide the volume of the box by the volume of the cupcake to see how many can fit in;
630 ÷ 27 = 23.3333
;Hence you can fit... 23 cupcakes
Answer:
Product is the answer of two numbers that are multiplied together.
3 x 3=9
Step-by-step explanation: