Ok well first of all let's calculate how many cartons there are of each size:
There are 264 cartons in total and 1/6 of these are small, 2/3 are medium and the rest are large, thus:
Number of small cartons = (1/6)*264 = 44
Number of medium cartons = (2/3)*264 = 176
Number of large cartons = 264 - (44 + 176)
= 264 - 220
= 44
Now we can calculate how many eggs are needed to fill each type of carton:
Each small carton holds 8 eggs, thus the number of eggs needed equals:
8*44 = 352 eggs
Each medium carton holds 12 eggs, thus the number of eggs needed equals:
12*176 = 2112 eggs
Each large carton holds 18 eggs, thus the number of eggs needed equals:
18*44 = 792 eggs
Thus the total number of eggs needed = 352 + 2112 + 792 = 3256
Answer:
y = 2x+3
Step-by-step explanation:
You can see that the line crosses the y-axis at (0,3), so the y-intercept is 3.
To find the slope, compare the coordinates of the two points marked on the line, (0,3) and (-3,-3).
slope = Δy/Δx = ((-3)-3)/((-3)-0) = (-6)/(-3) = 2
Slope-intercept equation for line of slope 2 and y-intercept 3:
y = 2x+3
Answer:
a. 25%
b. $1560
c. $130
Step-by-step explanation:
a.
If 75% is paid by company, the rest is paid by Ruth.
Out of 100%, 75% is paid by company, so Ruth pays 100 - 75 = 25%
b.
Per year, the total amount paid is 6240, but Ruth pas 25% of this. So,
25% = 0.25
To get the answer, we multiply 0.25 with 6240.
0.25 * 6240 = 1560
So, $1560 is paid by Ruth annually.
c.
Since 1560 is paid annually (in 12 months), each month Ruth has to pay:
1560/12 = $130
Hence, $130 is deducted each month from her paycheck
(x; y)
The domain is x.
The range is y.
Therefore
(4; -4) → x = 4; y = -4
(2;-3) → x = 2; y = -3
(-5; 1) → x = -5; y = 1
if is (-4; -1) not (4; -1) then
(-4; -1) → x = -4; y = -1
The DOMAIN = {-5; -4; 2; 4}
The RANGE = {-4; -3; -1; 1}
If is (4; -4) and (4; -1) then it is not a function.