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son4ous [18]
4 years ago
10

Drake wants to save $750 so that he can take a class on computer analysis for cars. The class is being held on various dates ove

r the next several months. Drake is planning to take the class 6 weeks from now, so he plans to save $125 each week.Unfortunately, Drake had to take out a little money from his savings in the 3rd week. After 4 weeks, Drake has $470. He knows that he must adjust his plan in order to meet his goal. Drake came up with the following options:Option A: Stay with saving the original amount each week but take the class a week later than originally planned.Option B: Increase the amount of money he saves each week by $15 from his original plan.Which of the following is a true statement?a. Only option A will allow him to meet his goal.b. Only option B will allow him to meet his goal.c. Both options A and B will allow him to meet his goal.d. Neither option A nor option B will allow him to meet his goal.
Mathematics
1 answer:
Vadim26 [7]4 years ago
8 0

Answer:

Step-by-step explanation:

Given that Drake wants to save $750 so that he can take a class on computer analysis for cars.

He wants to save 125 per week for 6 weeks.

.Unfortunately, Drake had to take out a little money from his savings in the 3rd week. After 4 weeks, Drake has $470.

If he wants to have 750 after 6 weeks, he has to save \frac{750-470}{2} =140 $  per week

Or alternately he can save same 125 dollars so that he would have 750 $ in

3 weeks.

A: Stay with saving the original amount each week but take the class a week later than originally planned.Option B: Increase the amount of money he saves each week by $15 from his original plan.

Both are right.

c. Both options A and B will allow him to meet his goal.

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Answer: Her solution is incorrect. The hypotenuse is 53 units

Step-by-step explanation: The error occurred when she quoted the Pythagorean theorem. She added up both sides and squared them and made the answer equal to the square of the hypotenuse. She was supposed to have squared them first, before adding up.

The Pythagorean (or Pythagoras) theorem states that the sum of the squares of two sides of a right angled triangle equals the square of the hypotenuse of the triangle. That is, in triangle ABC, if the hypotenuse is given as line AC, the Pythagoras theorem states that

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse and AB and BC are the other two sides.

In Nadia’s solution, if the hypotenuse is given as 73, and the other two sides are 28 and 45, then the Pythagorean theorem properly expressed would be as follows;

73^2 = 28^2 + 45^2

5329 = 784 + 2025

5329 ≠ 2809

As we have determined, writing out the expression as

73^2 = (28 + 45)^2 is very incorrect as this is not the Pythagorean theorem and of course, the triangle cannot have 73 as its hypotenuse as we have determined by properly writing out the Pythagorean theorem.

The correct solution is as follows;

AC^2 = AB^2 + BC^2

AC^2 = 28^2 + 45^2

AC^2 = 784 + 2025

AC^2 = 2809

Add the square root sign to both sides of the equation

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3 years ago
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Step-by-step explanation:

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The categories add to 100%, so are mutually exclusive, as you expect when they are "favorite sport" categories. Hence the union of two of them will be their sum. (Otherwise, you'd have to subtract the amount by which the categories overlap.)

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