What is the answer for c ?

Answers

Answer 1

Answer: I'm certain that part b is essentially the same question as a but it asks for the exact amount of difference in distance which is 28 kilometers. Your estimate would be reasonable since there is no major difference between the estimate and the actual difference.

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the perimeter of a rectangle is 24 inches.Twice the length decreased by three times the width is 4 inches. what are the dimensions of the rectangle?

Answers

Original = 8 length and 4 width

New = 8/2 = 4/2 = 2 is length and 4 is width.

Perimeter of new = 12

$(a)/(a - x) + (b)/(b - x) = ((a + b)^(2) )/(ab)$

Answers

Answer:

$x_1=(a(a^2+ab+b^2))/((a+b)^2)\n \nx_2=(b(a^2+ab+b^2))/((a+b)^2)$

Step-by-step explanation:

First, simplify the left part:

$(a)/(a-x)+(b)/(b-x)=(a(b-x)+b(a-x))/((a-x)(b-x))=(ab-ax+ab-bx)/(ab-ax-bx+x^2)$

Now, cross multiply:

$ab\cdot (ab-ax+ab-bx)=(a+b)^2\cdot (ab-ax-bx+x^2)\n \n2(ab)^2-a^2bx-ab^2x=(a^2+2ab+b^2)(ab-ax-bx+x^2)\n \n2(ab)^2-a^2bx-ab^2x=a^3b-a^3x-a^2bx+a^2x^2+2(ab)^2-2a^2bx-2ab^2x+2abx^2+ab^3-ab^2x-b^3x+b^2x^2\n \na^3b-a^3x+a^2x^2-2a^2bx-2ab^2x+2abx^2+ab^3-b^3x+b^2x^2=0\n \nx^2(a^2+2ab+b^2)+x(-a^3-2a^2b-2ab^2-b^3)+a^3b+ab^3=0\n \n(a+b)^2x^2-x((a+b)(a^2-ab+b^2)+2ab(a+b))+ab(a^2+b^2)=0\n \n(a+b)^2x^2-x((a+b)(a^2+ab+b^2))+ab(a^2+b^2)=0\n \n(a+b)^2x^2-x(a+b)(a^2+ab+b^2)+ab(a^2+b^2)=0$

$D=(a+b)^2(a^2+ab+b^2)^2-4(a+b)^2ab(a^2+b^2)\n \n=(a+b)^2(a^4+(ab)^2+b^4+2a^3b+2a^2b^2+2ab^3-4a^3b-4ab^3)\n \n=(a+b)^2(a^2-ab+b^2)^2\n \n√(D)=(a+b)(a^2-ab+b^2)=a^3-b^3$

So,

$x_(1,2)=((a+b)(a^2+ab+b^2)\pm (a^3-b^3))/(2(a+b)^2)\n \nx_1=(a^3+a^2b+ab^2+ba^2+ab^2+b^3+a^3-b^3)/(2(a+b)^2)=(2a^3+2a^2b+2ab^2)/(2(a+b)^2)=(2a(a^2+ab+b^2))/(2(a+b)^2)=(a(a^2+ab+b^2))/((a+b)^2)\n \nx_2=(a^3+a^2b+ab^2+ba^2+ab^2+b^3-a^3+b^3)/(2(a+b)^2)=(2b^3+2a^2b+2ab^2)/(2(a+b)^2)=(2b(a^2+ab+b^2))/(2(a+b)^2)=(b(a^2+ab+b^2))/((a+b)^2)$

last month Stephanie spent $57 on 4 allergy shots and 1 office visit .This month she spent $9 after 1 office visit and a refund for 2 allergy shots from her insurance company . How much does an office visit cost an allergy shot?

Answers

Visit $25 allergy shot $8

4a + 1v =57

-2a +1v= 9

I will multiply the second by -1 to cancel v variable (elimination method)

4a +1v =57

2a -1v = - 9

add both

6a. = 48

a= 8

4a= 32

32 + v = 57

v= 25

32+25 = 57

-16 +25=9

Equivalent expression to 8n + 5n

Answers

I believe the answer could be 13n.

Equivalent means Equal to...

8n + 5n = 13n

A total of 6.825 inches of snow fell during a storm the snow fell at an average rate of 1.3 inches per hour for how many hours did the snow fall

Answers

You just need to divide:

6.825in. / 1.3in/h = 5.25 hours

Melissa and her friends are stretching rubber bands for an activity in science class. Melissa stretched her elastic to 10 inches. Juan stretched it 3 1/2 times as far. Sara stretched it 4/4 times as far. Marsha stretched it 2/5 as far. Put the students in of how far they stretched their rubber bands from least to greatest

Answers

Marsha
Sara and Melissa
Juan

Answer:

The answer is Marsha,Sara,Melissa, and Juan

Step-by-step explanation:

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