MATHEMATICS MIDDLE SCHOOL

If the example is y= -2x and y= x+3 Does the point (2,5) make either equation true?

Answers

Answer 1
Answer:

Answer:

the second one is true

Step-by-step explanation:

5=-4. 2nd one 5=5
Answer 2
Answer: The second one is true

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Antonia is keeping track of the number of pages she reads. She started the school year having already read 95 pages her book, and she then reads 20 pages each day. The function for her total pages read is f(x) = 20x + 95. What do f(x) and x represent in Antonia's situation?1. f(x) represents the number of days; x represents the total number of pages that Antonia has read
2. f(x) represents the total number of pages that Antonia has read; x represents the number of days
3. f(x) represents the number of pages Antonia reads per day; x represents the number of days
4. f(x) represents the total number of pages that Antonia has read; x represents the number of pages she reads per day

Answers

20 pages per day
so the variable attached to the number 20 would be "number of days"
so x represents the number of days

then 90 + 20(number of days) = (total number of pages)
so that makes f(x) = (total number of pages)

therefore your answer is 2.

Answer:

Option 2. f(x) represents the total number of pages that Antonia has read; x represents the number of days

Step-by-step explanation:

A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens and pencils were purchased if there were 80 more pencils than pens?

Answers

Answer:

  • 120 pens and 200 pencils.

Explanation:

You can set a system of two equations.

1. Variables

  • x: number of pens
  • y: number of pencils

2. Cost

  • each pen costs $1, then x pens costs: x
  • each pencil costs $0.5, then y pencil costs: 0.5y

  • Then, the total cost is: x + 0.5y

  • The cost of the whole purchase was $ 220, then the first equation is:

          x + 0.5y = 220 ↔ equation (1)

3. There were 80 more pencils than pens

Then:

  pencils  =      80   +   pens

       ↓                               ↓

       y        =      80   +      x        ↔ equation (2)

4. Solve the system

i) Substitute the equation (2) into the equation (1):

  • x + 0.5(80 + x) = 220

ii) Solve

  • x + 40 + 0.5x = 220
  • 1.5x = 180
  • x = 180/1.5
  • x = 120 pens

iii) Substitute x = 120 into the equation (2)

  • y = 80 + 120
  • y = 200 pencils

Solution: 120 pens and 200 pencils ← answer

For an annual membership fee of $500, Mr. Bailey can join a country club that would allow him to play a round of golf for $35. Without the membership, the country club charges $55 for each round of golf. How many rounds of golf would Mr. Bailey have to play for the cost to be the same with and without a membership? Write an equation or inequality to describe this situation. *

Answers

Answer:

20

Step-by-step explanation:

let the number of rounds of golf played for the cost to equal be x.

-It costs $35/ round when the membership of $500 is paid, hence, total annual cost is:

500+35x

#When membership is not paid, the annual cost is expressed as:

55x

#Since the cost should be equal after x rounds, we equate the two to solve for x:

500+35x=55x\n\n500=20x\n\nx=25

Hence, Mr Bailey has to play 20 rounds of golf for the cost in both scenarios to be equal.

Use the Distributive Property to expand the expression z(−6.4−3.5x)

Answers

Answer: -6.4z-3.5xz

Step-by-step explanation:

The distributive property is given by :-

a(b+c)= ab+bc

or (b+c)a= ba+ca , where a, b , c are some algebraic expressions.

The given expression: z(−6.4−3.5x)

Then , by distributive property we have

z(-6.4-3.5x)= z *-6.4 -z*3.5 x\n\n=-6.4z-3.5xz

Thus , the required expression will be -6.4z-3.5xz

Answer:

-6.4z- (3.5x)

Step-by-step explanation:

cant do z times x

What is the surface area of the figure? 7ft 7ft 12ft 12ft 5ft

Answers

This shape seems to be like a rectangular prism because of its dimensions
7 ft × 2 (widths)
12 ft × 2 (lengths)
5 ft (height of prism)

Formula of the surface area of a prism is:
2 × Area of base + Perimeter × Height of prism
Area of rectangle (length × width)
Perimeter of rectangle (2×length + 2×width)
2 × (12 × 7) +(2×12+2×7) × 5
168 + 190
358 ft²

LOL NOT GIVING YOU ANSWERS CHEATERS JUST JOINED TO TROLL

If the circumference of a circle is 11 pi inches, what is the area? round your answer to the nearest hundredth.

Answers

a= C²/4×π
  =11²/4×3.14
  =121/12.56
  =9.63
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