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3 years ago

Andrea rents a bike for a day. The rental charges can be determined by

Mathematics

2 answers:

Greeley [361]3 years ago

4 0

Https://www.cymath.com/answer?q=%205%2B4i%2F6%2B8i

kolezko [41]3 years ago

4 0

Answer: Hence, the unit rate would be $0.5.

Step-by-step explanation:

Since we have given that

$R=\$0.5d$

Here, R is the rental charges.

d is the number of days she rents the bike.

We need to find the unit rate.

So, unit rate would be

$\dfrac{R}{d}=\$0.5$

Hence, the unit rate would be $0.5.

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Help me i think its add 24 to both sides

umka2103 [35]

It is given in the question that

Steven is solving the equation

$3(8-2x)+40=34$

He begins with the following two steps.

$Step 1: 3(8)+3(-2x)+40=34 Step 2: 24-6x+40=34$

And we have to find , what will be the next step in solving the equation.

First we combine the like terms. And the like terms are 24 and 40. So we have to add 24 and 40. And that will be the next step.

So the correct option is the last option.

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3 years ago

How many ways can four runners finish a race? 4 1 10 24

Whitepunk [10]

That's 4! (faculty), ie., 4x3x2x1 = 24.
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3 years ago

Read 2 more answers

Use the sign ratio to deride a relationship between angle inside measures in a triangle

kirill [66]

Answer:

Derided means to mock/scorn/express contempt for.

Step-by-step explanation:

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3 years ago

Based on the figure below, what is the value of x?

nalin [4]

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3 years ago

In order to prepare for your summer bash, you go to the supermarket to buy hamburgers and

timofeeve [1]

The complete question is:

In order to prepare for your summer bash, you go to the supermarket to buy hamburgers and chicken. Hamburgers cost $2 per pound and chicken costs $3 per pound. You have no more than $30 to spend. You expect to purchase at least 3 pounds of hamburgers.

Write a system of inequalities to represent this situation.
Graph the system of inequalities on the grid.
Give three possible combinations for buying hamburgers and chicken for your summer bash.

Justify your answers

Answer:

A) System of inequalities:

2x + 3y ≤ 30

x ≥ 3

x ≥ 0

y ≥ 0

B) Graph: see the picture attached

C) Three possible combinations:

3 pounds of hamburgers and 8 pounds of chicken

3 pounds of hamburgers and 0 pounds of chicken

15 pounds of hamburgers and 0 pounds of chicken

Explanation:

A) Write the system of inequalities to represent this situaction.

1. Variables:

x: number of pound of hamburgers
y: number of pound of chicken

2. Costs:

x pounds of hamburgers at $2 per pound: 2x
y: pounds of chicken at $3 per pound: 3y

total cost: 2x + 3y

3. First constraint:

You have no more than $ 30 to spend: means that the cost of what you buy can be at most (less than or equal to) $ 30.

2x + 3y ≤ 30

4. Second constraint:

You expect to purchase at least 3 pounds of hamburgers: means that the number of pounds of hamburgers may be greater than or equal to 3.

x ≥ 3

5. Additional constraints:

Both, x and y cannot be negative: x, y ≥ 0

6. System of equations:

2x + 3y ≤ 30

x ≥ 3

x ≥ 0

y ≥ 0

B) Graph 

You have to graph all the constraints in a x-y coordinate system.

1. To graph 2x + 3y ≤ 30 graph the line 2x + 3y = 30

Choose the y-intercept and x-intercept.

x = 0 ⇒ 3y = 30 ⇒ y = 10 ⇒ point (0, 10)

y = 0 ⇒ 2x =30 ⇒ x = 15 ⇒ point (15, 0)

With two points you can draw the line

Clear y: y ≤ 10 - 2x/3. Since, the symbol is ≤ you shade the region below the line, and the line is included, so you draw it as as solid line.

2. To graph x ≥ 3 just draw the vertical line x = 3 and shade the region to the right of it. The points of the line are included (solid line).

3. The constraints x ≥ 0 and y ≥ 0 mean that the region is restricted to the first quadrant (including the positive axis).

4. The feasible solutions are the set of points inside the common regions (intersection).

With all that information the graph is the one attached. The feasible solutions is the region defined by the triangle with vertices (3,8), (3,0), and (15,0).

C) Give 3 possible combinations.

You can pick any three points inside the region, as long as the coordinates are integer numbers. For instance the 3 vertices are solutions:

(3, 8) ⇒ 3 pounds of hamburgers and 8 pounds of chicken

(3,0) ⇒ 3 pounds of hamburgers and 0 pounds of chicken

(15,0) ⇒ 15 pounds of hamburgers and 0 pounds of chicken

You could also prove that (5,4), 5 pounds of hamburgers and 4 pounds of chicken meet, the inequalities.

This is how you prove it:

5 ≥ 0
5 ≥ 3
4 ≥ 0
2(5) + 3(4) = 10 + 12 = 22 ≤ 30

And you can do the same for any pairs to verify whether they are solution or not.

7 0

3 years ago