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mamaluj [8]
2 years ago
6

In a race, karen rode her bike for 1 hours

Mathematics
1 answer:
Zina [86]2 years ago
4 0

Karan swam and biked for a total of 1 hour and 45 minutes.

let's say 60=100 for a total of 100 equaling 1 hour.

Therefore, 100+45= <u>145</u>

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Answer:

See solution :)

Step-by-step explanation:

Let us first analyse our information given. The question tells us that each person, (i.e. Jamie and Stella) should pay $600 upfront. Thus, our first constraint (lets call it T) is that any total amount of money must be equal or more than $600, which in maths notation reads:

T\geq 600

<em>where \geq means More or Equal to.  </em>

We also know that Jamie washes care for $25 dollars and if represented in math notation, we can say that for every car (denoted by) x, Jamie makes $25, thus for Jamie we have:

J: 25x

Similarly we know that Stella makes pecan pies and for each pie she sells she makes $15, so we can say that<em> for every pecan pie (denoted by) y, Stella makes $15, thus for Stella we have:</em>

S: 15y

However, we also know that Stella does not have enough supplies for more than 40 pies, which puts a constraint on the amount of money she can make by selling pecan pies. <em>Therefore we can now say that</em>

15y is true, for y\leq 40

<em>where y\leq 40 is the constraint on Stellas possible profits and \leq means Less or Equal to. </em>

<u>Now lets start answering the questions: </u>

Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip.

Answer:  25x

*provided that 25x\geq 600 (in order to make the neccesary profit)

Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.

Answer:  15y\geq600 and  y\leq40

Part 3: Write a constraint (an inequality) to represent the relationship between Jamie's earnings and Stella's earnings.

Answer: Since Stella can not make more than 40 pies, the solution intersection between Jamie and Stella is y\geq 40 (Jamie) ∩ y\leq40 (Stella), thus y=40.

Part 4: Can Stella afford to sign up for the trip with the money she earns? Explain your answer and show any work that might support your answer.

Answer: We know that Stella's pie making is denoted by 15y, and the total amount needed for the trip upfront is denoted by T\geq 600 therefore to find if Stella can afford to sign up, we need to find the amount of pies Stella needs to produce, in order to make a profit of at least $600. Thus we write:

15y\geq 600\\y\geq \frac{600}{15}\\ y\geq 40

Since the number of pies Stella needs to make, to gain a profit of $600 is 40 pies, and we know that Stella can make a maximum of 40 pies with the supplies she already has, we can conclude that Stella can make the necessary money to make her trip to Washington!

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Find the area of the Compound shape<br><br> The answer is 89 m^2<br><br> I just need the steps....
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Answer:

Step-by-step explanation:

Area of semi-circle is \frac{\pi r^2}{2} ≈ \frac{22}{7} × 4² ÷ 2 ≈ 25 cm²

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Total area is 25 + 64 = 89 cm²

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