you are cutting as many 3 1/2 inch sections as you can out of wooden board if the board is 75 inches in length how many skateboards can you make?

Answers

Answer 1
Answer: If you divide 75/3 1/2 it will give you 21 so your answer will be 21 skateboards

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Consider the following scenario:A teacher notices a trend in the students' grades for her midterm exam. Which event probably has the strongest correlation with the exam grades?

The successful completion of the exam review packet
The number of days students ate breakfast that semester
The location of students in the classroom
The number of times students completed extra credit

Answers

The successful completion of the exam review packet 

Answer:

The successful completion of the exam review packet

Step-by-step explanation:

This is the only answer that talks about the school work because every other answer doesn’t even correlate with the question. Except the extra credit one but that one still excludes from the original test. Therefore, it is

The successful completion of the exam review packet

Also I got it right on the test

For what values of k does the equation x^2 - (5k+1)x + 9k^2 = 0 have real roots?

Answers

K has a range from[ -1/11 to 1]
real roots occur when the determinant b^2-4ac >= 0

so substituting:-

(5k + 1)^2 - 4*1* (9k^2) >= 0
25k^2 + 10k + 1 - 36k^2 >= 0
-11k^2 +10k  + 1 >= 0
11k^2 - 10k - 1 <= 0
(11k + 1)(k - 1) <=  0

the equation will have real roots for  -1/11 =< k <= 1


2+3i divided by 3-3i ( a+bi form)

Answers

(2+3i):(3-3i)=(2+3i)/(3-3i)\cdot(3+3i)/(3+3i)=((2+3i)(3+3i))/((3-3i)(3+3i))=(6+6i+9i-9)/(3^2-(3i)^2)=(-3+15i)/(9+9)\n\n=(-3+15i)/(18)=-(3)/(18)+(15i)/(18)=-(1)/(6)+(5)/(6)i

What is the value of (-6 + 2i) - (7 - 8i)?0 -1 + 61
O 1 - 6i
0-13 + 10i
13 + 10i

Answers

Answer: -13 + 10i

Step-by-step explanation: ((-6) + (2 * i)) - (7 - (8 * i)) = -13+10i

Raphael paid $652 for a camera during a 20% off sale. What was the camera's regular price? Please work the problem and show your work so I can understand it better.

Answers

x-\ regular\ price\n\nx-(20\%x)=652\n\nx-(0,2*x)=652\n\nx-0,2x=652\n\n0,8x=652\ \ \ \ |divide\ by\ 0,8\n\nx=815\n\nCamera\ earlier\ cost\ 815\$.

Mrs. Stephan took her children to pick out pumpkins. Carter picked out a pumpkin priced $20, andIsabelle picked out a pumpkin priced at $13. How much did Mrs. Stephan pay for both pumpkins, including
7% sales tax?

Answers

Answer:

$35.31

Step-by-step explanation:

In this question, we're trying to find the total cost of the pumpkins (including tax).

We know that Carter picked a $20 pumpkin, while Isabelle picked a $13 pumpkin.

We also know that the sales tax is 7%

To get your answer, we would add the prices of the pumpkin and find the tax price to get our final answer.

Find the total cost:

20 + 13 = 33

Since the sales tax is 7%, we would multiply 33 by 1.07:

33 · 1.07 = 35.31

Mrs. Stephan paid $35.31 for the pumpkins and sales tax.