MATHEMATICS MIDDLE SCHOOL

The gym offers a discount when more than one member of the family joins. The first member (n=0) pays $550 per year. The second member to join (n=1) gets a discount of $75 per year. The third member (n=2) gets an additional $75 discount. The price for the nth member is given by 550+(-75n).a. What is the price for the fourth member to join (n=3)?

b. For a large family, is it possible that member would join for free? If so, which member would it be? Explain your reasoning.

c. Other than $0, what is the lowest amount that a member would pay to join? Which member would it be? Explain your reasoning.

Answers

Answer 1
Answer:

a. If we subtract 75 from 550 twice, we get 400, which is the third member to join. Subtract 75 from 400, we get $325, the fourth member to join.

b. It is not possible that a member would join for free if it was a large family. 75 does not fit into 550 evenly. You can prove this by solving the expression 550÷75.

c. The lowest amount that a member would pay to join is $25.00. It would be the 7th member.

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Help with this math problem

Answers

see explanations

Step-by-step explanation:

Formula for mid-point is;

midpoint=((x_1+x_2)/2,(y_1+y_2)/2)

1.Given S(-3,4), U(-3,0) and T(5,0) then finding the mid-points

SU = [(-3+-3)/2,(4+0)/2] =(-3,2)

TU= [(-3+5)/2,(0+0)/2] =(1,0)

ST=[(-3+5)/2,(4+0)/2]=(1,2)

2.Mid-point formula for this case given W(-5,1) and Z(3,3) will be;

Midpoint = [ (x₁+x₂)/2,(y₁+y₂)/2]

Midpoint= [(-5+3)/2 ,(1+3)/2]

Midpoint=(1,2)

3. Finding the length of segments and the midpoint of the segments

Formula for length of segment, d, is given as;

For C(-1,5) and D(5,1)

d=√((y_2-y_1)^2+(x_2-x_1)^2) \n\nd=√((1-5)^2+(5--1)^2) </p><p>=√(-4^2+6^2) =√(16+36) =√(52) =7.21

Midpoint of the segment CD will be

[(-1+5)/2,(5+1)/2] = (2,3)

For E (-3,-6) and F(5,0)

d=√((0--6)^2+(5--3)^2) =√(6^2+8^2) =√(36+64) =√(100) =10

The midpoint for segment EF will be;

[(-3+5)/2 ,(-6+0)/2] =(1,-3)

For L(-4,4) and M(-1,-5)

d=√((-5--4)^2+(-1-4)^2) \nd=√(-1^2+-5^2) \n\nd=√(1+25)=√(26) =5.1

Learn More

Midpoint of a segment :brainly.com/question/10424143

Distance of a segment :brainly.com/question/11591660

Keywords :midpoint, midpoint formula, segment length, line segment

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Larry is 10 years old and his sister is 7 years old. In how many years time will there total age be 25 years?

Answers

In 4 years, their ages will add up to 25. Larry will be 14 and his sister will be 11
In the next 25 years, Larry will be 35 years old, while his sister will be 3 years less than him which is 32 years old for his sister, since his sister is 3 years younger.

alan drew a polygon with four sides and four angle. All four sides are equal. None of the angle are right angle. What figure did alan draw?

Answers

Alan drew a quadrilateral that is a parallelogram and a rhombus.

Determine how far the vehicle travels in 3 hours.A motorcycle travels 25 miles every 0.5 hour.

The vehicle travels
miles.

Answers

Answer: 150

Step-by-step explanation:

.5 of an hour is half a hour so 30 minutes you want to have 3 hours of trave so times that number 3 by 2 and get 6. 6 time 25 is 150

Translate the phrase into a math expression. 12 less than twice a number

A.
2 · (n – 12)

B.
2 · n - 12

C.
2 · n ÷ 12

D.
12 – 2 · n

Answers

The answer is B

Twice a number means 2 times a number n, which would be 2n

And 12 subtracted from 2n would be  2n - 12

Hope that helps :)
12 less than twice a number

Twice a number would be 2n

12 less than 2n would be 2n - 12

Your answer is B.

At 5:00 p.m., the outside temperature was –9.2°C. By 10:00 p.m., the outside temperature had dropped 4.5°C.What was the outside temperature at 10:00 p.m.?

Answers

I think it would be -13.7 Seeing how it is already a negative and dropping another 4.5 is a negative, so we just add the 2 numbers and it's the answer just keep your sign
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