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iren2701 [21]
2 years ago
6

today at Allison's cupcake and cookie budget for her party at $105 if you would like to have at least 40 cupcakes and cookies co

mbined and would like to have at most five more cupcakes and cookies if cupcakes sell for $2.50 and cookies for $1.50 which system of inequalities could help Allison determine possible numbers of cupcakes and cookies that she will buy ​
Mathematics
1 answer:
Sati [7]2 years ago
3 0

Answer:

a  ≤  b  +  5

a  +  b  ≥  40  

2.5 a  +  1.5 b  ≤  105

Step-by-step explanation:

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During which time period does Landon's elevation change the fastest? Explain how you know?
bogdanovich [222]
<h3>1. How many inches per minute does London's elevation change between 4 minutes and 8 minutes. </h3>

The question actually asks for the slope of the line that stands for the points (4,3) \ and \ (8,6) why? because the questions tells us that London's elevation changes between 4 minutes and 8 minutes here. Hence, to find the slope of this line we have to use the following formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ But: \\ \\ P(x_{1},y_{1})=P(4,3) \\ P(x_{2},y_{2})=P(8,6)

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ But: \\ \\ P(x_{1},y_{1})=P(4,3) \\ P(x_{2},y_{2})=P(8,6) \\ \\ So: \\ \\ m=\frac{6-3}{8-4}=0.75in/min

<em>So London's elevation changes 0.75 inches per minute</em>

<em></em>

<h3>2. During which time period does London's elevation change the fastest?</h3>

The greater the absolute value of the slope of the line the faster London's elevation changes. Since this is a Piecewise function, we must analyze each period.

  • FIRST:

→ Between 0 minutes and 4 minutes the function is constant, so there is no any change here.

→ Between 10 minutes and 14 minutes the function is constant, so there is no any change here.

→ Between 18 minutes and 22 minutes the function is constant, so there is no any change here.

So the solution is not in these parts of the function.

  • SECOND:

→ Between 4 minutes and 10 minutes the function has a positive slope, so there is change here.

In the previous item we calculated the slope between 4 and 8 minutes that is the same slope between 4 and 8 minutes and equals 0.75.

→ Between 14 minutes and 18 minutes the function has a positive slope, so there is change here.

Let's take two points here, say, (16,5) \ and \ (18,3)

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ But: \\ \\ P(x_{1},y_{1})=P(16,5) \\ P(x_{2},y_{2})=P(18,3) \\ \\ So: \\ \\ m=\frac{3-5}{18-16}=-1 in/min

As you can see, the absolute value here is 1 that is greater than 0.75.

<em>In conclusion, London's elevation changes the fastest between 14 and 18 minutes</em>

7 0
3 years ago
Can someone help me with this surface area plz plz thanks
Lunna [17]
Just multiply all of them and if you aren’t sure just search up how to find serfsce area
4 0
2 years ago
The sum of two numbers is 51 and the difference is 11. what are the numbers?
stiv31 [10]

(51 - 11) : 2 = 20

20 + 11 = 31


20 and 31

6 0
3 years ago
What does it mean when the ratio of person 1’s income to person 2’s incomes is 1 to 3 or 3 to 1? Explain.
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Answer with explanation:

3:1 means that person 1's income is three times person 2's income.

E.g.: if person 1 gets 150 per hour, person 2 gets 30 per hour.

1:3 means that person 1's income is one third of person 2's income.

E.g.: if person 1 gets 40 per hour, person 2 gets 120 per hour.

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The matrix below represents a system of equations
harkovskaia [24]
Dependent its on apex.
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2 years ago
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