9514 1404 393
Answer:
49°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
∠A +∠B +∠C = 180
(x +32) +(x +41) +(3x +22) = 180 . . . . angles assumed to be in degrees
5x +95 = 180
5x = 85
x = 17
x +32 = 49 . . . . measure of ∠A
Answer:
production cost f(x), in dollars, for x number of units produced by company 1:
f(x) = 0.05x^2 − 7x + 300
2) Table that represents the production cost g(x), in dollars, for x number of units produced by company 2:
x g(x)
0.6 899.58
0.8 899.52
1 899.50
1.2 899.52
1.4 899.58
3) Comparison: do a table for f(x) with the same x-values of the table for g(x).
x f(x) = 0.05x^2 − 7x + 300 g(x)
0.6 295.818 899.58
0.8 294.432 899.52
1 293.05 899.50
1.2 291.672 899.52
1.4 290.298 899.58
As you can see the values of f(x) are consistently lower than the values of g(x) for the same x-values.
The minimum production cost for company 2 is around 899.50 at x = 1, while the minimum production cost of company 1 is defintely lower (lower than 292.298 for sure, in fact if you find the vertex it is 55).
Answer: Based on the given information, the minimum production cost for company 2 is greater.
Step-by-step explanation:
Answer:
320
Step-by-step explanation:
(45*3.5)+(65*2.5)=320
Hi there!
Simple conversion will greatly help us here. Below I'll list some common conversions for pounds and ounces.
16 ounces = 1 pound
32 ounces = 2 pounds
These will greatly aid us in finding how many ounces are in 3lb and 3 ounces. If we know that 2 pounds = 32 ounces then we know that by multiplying that by 4 we'll get how many ounces 8lb is.
32 ounces * 4 = 128 ounces.
However, we're not done there! There are also a leftover 3 ounces meaning once we add that to our 128 ounces we'll get our final answer.
3 ounces + 128 ounces = 8lb and 3 ounces.
131 ounces = 8lb and 3 ounces.
And that's our final answer. :)
