Find the amount of the discount on a $120 bicycle that is on sale for 25% off.

Answers

Answer 1

Answer: The discount is 30 dollars I believe.

Answer 2

Answer: it is $30 off. 25% of $120 is 30.

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A company can use two workers to manufacture product 1 and product 2 during a business slowdown. Worker 1 will be available for 20 hours and worker 2 for 24 hours. Product 1 will require 5 hours of labor from worker 1 and 3 hours of specialized skill from worker 2. Product 2 will require 4 hours from worker 1 and 6 hours from worker 2. The finished products will contribute a net profit of $60 for product 1 and $50 for product 2. At least two units of product 2 must be manufactured to satisfy a contract requirement. Formulate a linear program to determine the profit maximizing course of action. (Hint: the simplest formulation assigns one decision variable to account for the number of units of product 1 to produce and the other decision variable to account for the number of units of product 2 to produce.)

Answers

Answer:

The linear problem is to maximize $Z = C_ {1} X_ {1} + C_ {2}X_ {2} = 60X_ {1} + 50X_ {2}$ , s.a.

subject to

$\frac {1} {5} X_ {1} + \frac {1} {4} X_ {2} \leq 20\n\n\frac {1} {3} X_ {1} + \frac {1} {6} X_ {2} \leq 24\n\nX_ {2} \geq 2\n\nX_ {1}, X_ {2} \geq 0$

Step-by-step explanation:

Let the decision variables be:

$X_ {1}$ : number of units of product 1 to produce.

$X_ {2}$ : number of units of product 2 to produce.

Let the contributions be:

$C_ {1} = 60\n\nC_ {2} = 50$

The objective function is:

$Z = C_(1) X_(1)+ C_(2)X_(2) = 60X_ {1} + 50X_ {2}$

The restrictions are:

$\frac {1} {5} X_ {1} + \frac {1} {4} X_ {2} \leq 20\n\n\frac {1} {3} X_ {1} + \frac {1} {6} X_ {2} \leq 24\n\nX_ {2} \geq 2\n\nX_ {1}, X{2} \geq 2\n\n$

The linear problem is to maximize $Z = C_ {1} X_ {1} + C_ {2}X_ {2} = 60X_ {1} + 50X_ {2}$ , s.a.

subject to

$\frac {1} {5} X_ {1} + \frac {1} {4} X_ {2} \leq 20\n\n\frac {1} {3} X_ {1} + \frac {1} {6} X_ {2} \leq 24\n\nX_ {2} \geq 2\n\nX_ {1}, X_ {2} \geq 0$

6. A drugstore buys bleach by the skid. Each skid weighs approximately46.3 lb and holds 48 cases of bleach. Each case contains six 5.38-litre
bottles. If one litre of bleach weighs about 847,5 grams, what is the
weight of a loaded skid of bleach stated in kilograms? In pounds?

Answers

Ok ok ok ok ok ok ok ok ok ok ok

Question 17Solve the following problem below. Write your final answer in scientific notation
7.2 x 10
4 x 10-9
A
1.8 x 102
B
1.8 x 10-2
С
1.8 x 10-8
D
1.8 x 10-8

Answers

Answer:

1.8 × 10^10

Step-by-step explanation:

(7.2 × 10 = 72)

(72) ÷ (4 × 10^-9) = 1.8 × 10^10

Question 2
Explain the difference between the graphs y = x3 and y = 3(x – 4)3 + 7.

Answers

Answer:

The first graph , y=x³ is a cubic function graph and that of the second graph, y = 3(x – 4)3 + 7 is a linear graph.

Step-by-step explanation:

The graph of y=x³ is a cubic function graph where the x term has the highest power of x as 3. As attached in the first graph.

The second graph for y = 3(x – 4)3 + 7. is a linear graph that can be written as;

y=(3x-12)3 +7

y=9x-36 + 7

y=9x - 29

which is a linear graph with a slope of 9 and cuts the y-axis at -29 as shown in the second attached graph.

Determine the x-intercept of the line whose equation is given:y = StartFraction x Over 2 EndFraction minus 3
a.
(6, 0)
b.
(negative 6, 0)
c.
(0, three-halves)
d.
(Negative three-halves, 0)

Answers

A I think this because I did the math in my head lol

Answer:

Step-by-step explanation:

ANSWER ASAP IM BEING TIMEDWILL GIVE BRAINLIEST IF UR CORRECT AND IF I GET AN A ILL DO A FREE POINT GIVEAWAY

Choose the correct classification of 5x + 3x4 − 7x3. (5 points)

Third degree polynomial
Fourth degree trinomial
Sixth degree polynomial
First degree binomial

Answers

Answer:

option b

Step-by-step explanation:

fourth degree trinomial

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