Assume Josh made X cupcakes; Alice made Y cupcakes; Tom made Z cupcakes.
Josh made 10 more cakes than Alice so,
X = Y + 10 ---- 1st Eqn.
Alice made 8 more than Tom so,
Y= Z+8 --- 2nd Eqn.
Total cakes = 62 so,
X+Y+Z = 62 ---- 3rd Eqn.
by solving three equations we get X= 30; Y= 20; Z=12.
So Tom made 12 cupcakes
Greetings!
The best way to compare fractions is to find the LCM (The Lowest Common Denominator) of each of the fractions. This can be done simply by listing the multiples of the denominators.
Multiples:
3: 3,6,9,12,15,18,21,24,27...210,213
10:10,20,30,40,60,70,80...210,220
6: 6,12,18,24,30,36,42,48...210,216
7: 7,14,21,28,35,42,49...210,217
The LCM is 210:
3*70=210
10*21=210
6*35=210
7*30=210
Now, we must do what we do the denominators to the numerators:
1*70=70
70/210
2*21=42
42/210
1*35=35
=35/210
2*30=60
=60/210
The fraction with the largest numerator has the greatest value; In this case it 1/3 or 70/210.
Hope this helps.
-Benjamin
Answer:
A) Total weekly salary = $1000 + ( 0.05 × s )
B) Yes this is a function
C) This is a function because the weekly salary is dependent on the number of sales 's'. Hence, total weekly salary is a function of sales.
D) Domain will be [ 0, ∞ ]
Step-by-step explanation:
Given :
Weekly salary = $1000
Commission = 5% of all her sales
Let the number of sales be 's'
thus,
A) Total weekly salary = $1000 + ( 0.05 × s )
B) Yes this is a function
C) This is a function because the weekly salary is dependent on the number of sales 's'. Hence, total weekly salary is a function of sales.
D) The domain here will be all the possible values of sales i.e 's'
Hence,
sales will always be positive
thus,
domain will be [ 0, ∞ ]
