Answer:
Johan can make 8000 different outfits.
Step-by-step explanation:
Johan needs to pick one of each (shirt, pants, socks and shoes) to make a outfit. The number of socks he has is 20 pairs, so he has 20 possibilities for socks. In the same way, the number of possibilities for shoes is 5, for pants is 10 and for shirts is 8.
So, to find the number of outfits he can make, we need to multiply all the possibilities for each case, so:
Number of different outfits = 20 * 5 * 10 * 8 = 8000.
Answer:
140 centimeters.
Step-by-step explanation:
Hello!
A 2.4 meter log is split into the ratio 7:5. Each unit part is one x-increment, so the log is split into 7 x-increments and 5 x-increments.
Find the longer length:
- 2.4 into 7:5
- 2.4 = 7x + 5x
- 2.4 = 12x
- x = 2.4/12
- x = 0.2
Now, we must find the longer length, 7x.
The longer length is 1.4 meters, but we want it in cm.
There are 100 centimeters in a meter.
- 1.4 meters = 1.4 * 100
- 1.4 meters = 140 centimeters
The longer length is 140 centimeters.
This is not a function but the domain is x and the range is going to y so the first is the domain and the second box it the range
Answer:
The expression that fits the description is ;
(8a + b)/4
Step-by-step explanation:
Here, we want to find the expression that fits the given description;
We are told that the expression is a sum of two terms
The first term is 2 * a = 2a
The second term is the quotient ( result of division) of b and 4 = b/4
So the term we are looking for is;
2a + b/4 = (8a + b)/4
Answer:
66 coolers
Step-by-step explanation:
C = 0.005x² - 0.3x + 17
When C = $19
19 = 0.005x² - 0.3x + 17
19 - 17 = 0.005x² - 0.3x
2 = 0.005x² - 0.3x
0.005x² - 0.3x - 2 = 0
x = -b ± √b² - 4ac / 2a
= -(-0.3) ± √-0.3² - 4*0.005*-2 / 2*0.005
= 0.3 ± √ 0.09 - (-0.04) / 0.01
= 0.3 ± √ 0.09 + 0.04 / 0.01
= 0.3 ± √ 0.13 / 0.01
= 0.3/0.01 ± √0.13/0.01
= 30 ± 0.36/0.01
x = 30 ± 36
x = 30 + 36 or 30 - 36
x = 66 or -6
Number of coolers can not be negative
Therefore, number of coolers produced when the cost is $19
is 66 coolers
