The prime factorization of 90 is 2*3^2*5
Answer:
Lin = 48 seconds
Diego = 30 seconds
Step-by-step explanation:
Hi, to answer this question we have to divide the total ounces of drink by the amount that each one drank per second, for each case.
Mathematically speaking:
Lin = 12 ounces / (1/4) ounces/second = 12/ (1/4) = 48 seconds
Diego = 20 ounces / (2/3) ounces/second = 20/ (2/3) = 30 seconds
Feel free to ask for more if needed or if you did not understand something.
Answer: £90
Step-by-step explanation:
Pip and Sara get some money. They share it in the ratio 5 : 4.
Pip gets £50 so what did Sara get:
Use direct proportion:
5 : 4
50 : x
5x = 200
x = 200/5
x = £40
Pip got £50 and Sara got £40.
Together they got:
= 50 + 40
= £90
Statements Reasons
1.) M is the midpoint of CD; CM = 5x – 2; MD = 3x + 2 1.) Given
2.) CM=MD 2.) Definition of midpoint
3.) 5x-2=3x+2 3.) Substitution
4.) 2x-2=2 4.) Subtraction Property of Equality
5.) 2x=4 5.) Subtraction Property of Equality
6.) x=2 6.) Division Property of Equality
The slope is 4
slope intercept form : y=4x-2
point slope form: y-2= 4(x-1)
