What what the two coordinates be for (2x+3, 2y-9)

Answers

Answer 1
Answer:

Answer:

(2/3, -9/2)or (2/3, 4 1/2)

Step-by-step explanation:


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Answers

Answer:

<eba and <hbi are congruent angles

Step-by-step explanation:

They are vertical angles, therefore congruent

A researcher wanted to determine the prevalence of type 2 diabetes among persons living with HIV in Ojai, a small town in California. He developed a survey questionnaire and mailed to 600 residents of Ojai. The survey asked participants several questions including whether their doctor or health care professional ever told them that they had diabetes. All 600 residents completed the survey and the researcher considered their sample a random sample of the 2,500 total residents of 3 Ojai. The following data was compiled from the survey. The prevalence of diabetes in the sampled survey was 6%. The researcher wanted to compare the prevalence of diabetes by smoking status. In their survey, they found that among 230, who were smokers, 157 reported diabetes and among the remaining nonsmokers, 50 reported diabetes. Construct a two by two table using the data given above. Be sure to label the cells and margins.
Diabetes
Yes No
Smoking Yes a b
No с d
Total

Answers

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

Carla is going to the water slides and needs to figure out which deal is better. She can pay$31 to go on the water slides as much as she wants, or she can pay $13 to get in, plus an
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?

Answers

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.

A company produces two products, A and B. The sales volume for A is at least 80% of the total sales of both A and B. However, the company cannot sell more than 110 units of A per day. Both products use one raw material, of which the maximum daily availability is 300 lb. The usage rates of the raw material are 2 lb per unit of A, and 4 lb per unit of B The profit units for A and B are $40 and $90, respectively. Determine the optimal product mix for the company

Answers

Answer:A=100 , b=25

Step-by-step explanation:

Let sales of A be x and sales of  B be y

Thus x\geq 0.8(x+y)

x\geq 4y

Also maximum A available is 110\geq x

300\geq 2x+4y

150\geq x+2y

We have find the optimal solution for

z=40x+90y

Optimal solution points

(100,25) z=40* 100+90* 25=6250

(110,20) z=40* 110+90* 20=6200

(110,0) z=40* 110+90* 0=4400

Thus for A=100 and B=25 Optimal solution is obtained

Final answer:

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.

Explanation:

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:

  1. x ≥ 0.8(x + y), this is the sales volume constraint.
  2. x ≤ 110, this is the maximum sales constraint.
  3. 2x + 4y ≤ 300, this constraint arises from the raw material availability.

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.

Learn more about Optimal Product Mix here:

brainly.com/question/28944817

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Multiply the fraction by the whole number. Find the answer as a proper fraction or mixed number in simplest terms. *3 x 4/5: options
*2 3/5
*1 2/5
*2 1/5
*2 2/5

Answers

Answer:

2(2)/(5)

Step-by-step explanation:

Whole numbers can be seen as the number over 1. So, 3 can also be written as (3)/(1). To do (3)/(1) x (4)/(5) you just multiply across (3x4 and 1x5). Doing so gets you (12)/(5). 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 (12)/(5), since 2x5 is just 10. You write the remaining 2 as (2)/(5), because that's what the original denominator was. The final answer is 2(2)/(5).

Help me please!!! :(

Answers

Answer:

the greatest common factor is 5^2 * 7^3

(I think!!!)