Answer:
52 years
Step-by-step explanation:
Let
Your age = x
3 times your age = 3 * x
= 3x
The equation can be written as:
400 - 3x = 244
400 - 244 = 3x
156 = 3x
Divide both sides by 3
x = 156/3
x = 52
Therefore,
Your age is 52 years
Answer:
the proportion is false
Step-by-step explanation:
5.5/7.5 = 11/15
3.5/7= 1/2
Answer:
x=8
Step-by-step explanation:
2x-6+4=14
Combine like terms
2x-2=14
Add 2
2x=16
Divide
x=8
Checking work)
2(8)-2=14
16-2=14
14=14
If we plug in d = 0 (to indicate no desserts are ordered), then we'll get
t = 1.4*d + 9.1
t = 1.4*0 + 9.1
t = 9.1
indicating that, on average, the server expects to get $9.10 in tips if no desserts are ordered
This is why the answer is choice D)
This is a maximization problem so we apply derivatives here to determine the unknown variables in the problem.
In this problem, we represent x as the number of hats made, and y as the number of Afghans made by Mrs White.
Equation 1 relating to the time it takes to make these is expressed:
7x + 4y = 68
Another equation that represents inequality to the number of hats and Afghans respectively is expressed:
x<= 14
y<=11
the third equation expresses the income from selling these items expressed as
P = 21 x + 9y
we subtitute 1 to 3
P = 9(68-7x)/4 + 21x = 153-15.75x + 21 x = 153 -5.25x
So by trial and errror, x and y should be integers, we get two cases of which x and y should be
1) x = 4 ; y = 10
2) x = 8 ; y = 3
Subsituting to 3, P1 = 174$ while P2is equal to $195, Answer then is 8 hats and 3 Afghans in total.