Answer:
(2/3, -9/2)or (2/3, 4 1/2)
Step-by-step explanation:
Answer:
<eba and <hbi are congruent angles
Step-by-step explanation:
They are vertical angles, therefore congruent
Diabetes
Yes No
Smoking Yes a b
No с d
Total
Answer:
Step-by-step explanation:
Given that:
There are 600 residents in the survey.
And results gathered identify that among 230 who were smokers, 157 are reported to have diabetes and among the remaining nonsmokers, 50 reported diabetes.
The objective is to construct a two by two table from the given data:
Diabetes
Yes No Total
Smoking
Yes 157 230 - 157
= 73 230
No 50 370 - 50 600 - 230
= 320 = 370
Total 157 + 50 320+ 73
= 207 = 393 600
additional $3 per trip down the water slides. If Carla goes on a certain number of trips down
the water slides, the two options are equivalent in terms of cost. How many trips is that?
What is the cost?
Answer: $31 & It would be 6 trips!
Step-by-step explanation: 6 trips x $3 for the trips, is $18 plus the $13 to get in the park, would be equivalent to $31
Answer:
if she rides the slides 6 times, the costs will be the same: $31
Step-by-step explanation:
You can write an equation in order to solve this problem. Since you are trying to find how many trips using the (3t + 13) plan are equal to the plan that costs 31, the equation would be:
31 = 3t + 13
= 18 = 3t
= 6 = t
(3t + 13 stands for $3 a trip plus $13 entry fee)
This means that if Carla takes 6 trips using either plan, they will cost the same; both would cost $31.
Answer:A=100 , b=25
Step-by-step explanation:
Let sales of A be x and sales of B be y
Thus
Also maximum A available is
We have find the optimal solution for
z=40x+90y
Optimal solution points
(100,25) z
(110,20) z
(110,0) z
Thus for A=100 and B=25 Optimal solution is obtained
The optimal product mix problem involves maximizing profit given certain constraints. The constraints can be expressed in terms of inequalities which can be solved using linear programming techniques such as the corner point theorem or the simplex method.
The subject of this problem is to determine the optimal product mix of two products, A and B, produced by a company. This is guided by several constraints including sales volumes, maximum output, raw material availability, and profit units.
From the problem, we have two constraints. Firstly, sales of A must be at least 80% of the total sales of A and B, and no more than 110 units of A can be sold per day. Secondly, the company cannot use more than 300 lbs of the raw material per day with usage rates of 2 lbs per unit of A and 4 lbs per unit of B.
Let the quantity of A and B sold per day be x and y respectively. The profit is given by the expression 40x + 90y. We need to maximize this expression based on the constraints. The constraints can be expressed as follows:
These constraints form a linear programming problem. By plotting these inequalities on a graph and finding the feasible region, we can use the corner point theorem or simplex method to find the optimal solution.
#SPJ3
*2 3/5
*1 2/5
*2 1/5
*2 2/5
Answer:
2
Step-by-step explanation:
Whole numbers can be seen as the number over 1. So, 3 can also be written as . To do x you just multiply across (3x4 and 1x5). Doing so gets you . Since 12 is bigger than 5, you need to find out how many times 5 fits into 12, which is 2 times. This means 2 is the whole number, however you're still left with 2 from the fraction , since 2x5 is just 10. You write the remaining 2 as , because that's what the original denominator was. The final answer is 2.
Answer:
the greatest common factor is 5^2 * 7^3
(I think!!!)