Answer:
a.
x + y = 60
x = y + 30
b.
substitution:
(y + 30) = y = 60
2y + 30 = 60
2y = 30
y = 15
15 minutes for freehand
c.
No, because if he spends 40 minutes on the treadmill, he would have spent 10 minutes for freehand exercises. His total time in the gym would be 50 minutes, not 60.
Answer:
The variable c represents the domain as it is the independent variable.
The domain of the function F(c) is given by c ≥ 0.
So, only positive values for the input make sense.
The upper limit of the domain is +∞ and lower limit is 0.
It is not possible for the team to earn $50.50 as it will be only multiple of 2.
Step-by-step explanation:
If F(c) represents the earning of a volleyball team from selling c cupcakes and each cupcake costs $2 each, then the equation that models the situation is
F(c) = 2c ..... (1)
The variable c represents the domain as it is the independent variable. (Answer)
The domain of the function F(c) is given by c ≥ 0. (Answer)
So, only positive values for the input make sense. (Answer)
The upper limit of the domain is +∞ and the lower limit is 0. (Answer)
It is not possible for the team to earn $50.50 as it will be only multiple of 2. (Answer)
Answer:
He can make 6 groups
Step-by-step explanation:
To solve this problem first you need to find the GCF or greatest common factor. Now you can put 5 chocolate chip cookies in each group, 3 peanut butter, and 4 sugar cookies. These are all relatively prime so that would be your final answer.
Answer:
x = 7
Step-by-step explanation:
Given:
∠DEF = 117°
∠DEG = (12x + 1)°
∠GEF = (5x - 3)°
Find:
value of x
Computation:
∠DEF = ∠DEG + ∠GEF
117° = (12x + 1)° + (5x - 3)°
117° = 17 x - 2
x = 7