MATHEMATICS HIGH SCHOOL

Luke and Matthew ran a lemonade stand on Saturday. They agreed that Matthew would get 60%, percent of the profit because the lemonade stand was his idea. They made a profit of 25$.How much money did Matthew make?

Answers

Answer 1
Answer:

Answer:

15 dollars

Step-by-step explanation:
Answer 2
Answer:

Answer:He made $15

Step-by-step explanation:

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The number of plastic straws produced by a machine varies directly as the amount of time the machine is operating. If the machine produces 20,000 straws in 8 hours, how many straws can it produce in 50 hours?

Answers

Given is the direct relationship between number of produced straws and the hours of operating machine.

Given that 20,000 straws are produced in 8 hours of machine's operation.

Let's assume that 'x' straws are produced in 50 hours of machine's operation.

Using the concept of proportions, x straws in 50 hours would be proportional to 2000 straws in 8 hours.

(X \;straws)/(50 \;hours) =(20,000 \;straws)/(8 \;hours) \n\n(X \;straws)/(20,000 \;straws) =(50 \;hours)/(8 \;hours) \n\n(X)/(20,000) =(50)/(8) \n\nCross \;multiplying \n\n8*X = 50*20000 \n\n8X = 1,000,000 \n\n(8X)/(8) =(1,000,000)/(8) \n\nX=125,000 \;straws

Hence, total 125,000 straws would be produced in 50 hours.

Carey already owns 2 necklaces, and additional necklaces are priced at 2 for a dollar. With $2 to spend on new necklaces, how many total necklaces can Carey own? Write and solve an equation to find the answer.

Answers

2x=2. Solving this, you get x=1. You then add 2 to 1 because she already has 2 necklaces to get that she can have a total of 3 necklaces.

Answer:

3

Step-by-step explanation:

2x=2. Solving this, you get x=1. You then add 2 to 1 because she already has 2 necklaces to get that she can have a total of 3 necklaces.

PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer:

LM = 2(MP)

Step-by-step explanation:

The radius KN is perpendicular to LM meaning that the line is split in half at the crossing. Review properties of circles to see why this is true.

Since we know this, we can say LM = LP + MP. And LP = MP.

So we can say LM = 2(MP).

Cheers

Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = 1.Which product should Tomas choose?

(2x + 1)(2x2 + 2x – 1)
(2x + 1)(4x3 + 2x – 1)
(2x + 1)(4x2 – 2x + 1)
(2x + 1)(2x2 – 2x + 1)

Answers

This is a simple substitution problem. Clearly the answer here is (2x + 1)(4x2 – 2x + 1). We just have to replace a with 2x and b with 1. The tricky part here is the first term in the second group of terms. 2x is to be squared. Common mistake here is raising the x with 2 and not including the coefficient. 

The product that Tomas should choose given that the pattern resulted in a sum of cube is (2x + 1)(4x² – 2x + 1)

Data obtained from the question

  • Polynomial => (a + b)(a² – ab + b²)
  • a = 2x
  • b = 1
  • Product =?

How to determine the product

(a + b)(a² – ab + b²)

But

a = 2x

b = 1

Substituting the value of a and b, we have

(a + b)(a² – ab + b²)

(2x + 1)[(2x)² – (2x × 1) + 1²]

(2x + 1)(4x² – 2x + 1)

Thus, the product that Tomas should choose is (2x + 1)(4x² – 2x + 1)

Learn more about polynomial:

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If x = 9 and y = 4, work out the value of xy/ 2

Answers

answer: 3/1

Step-by-step explanation:

This is like a puzzle, and each part tells you something. The first statement tells us that x is a negative number and y is a positive number. The next statement, x + y , is what we need to know. The first absolute value gives us x. Solve for the absolute value, that is, what is inside can be either negative or positive so either x-9 = 12 or x - 9 = -12. Solve those for x = 21 or x = -3. We know that x is negative from that first statement, , so x is -3. Do the same with the other absolute value to solve for y, then add the two together to get your final answer. hope this helps a bit!

Given that the area of rectangle IJKL is 500 units?what are its length and width?
1
5x
J
K
8x
1 = 101.5 units, w = 162 4 units
1=35 8 units, w = 23 units
1 = 100 units, w = 62 5 units
1 = 28 units, w = 175 units

Answers

Answer:

d. 17.5 and 28 units

Step-by-step explanation:

An area of a rectangle is length times width. 8x times 5x = 40x^2. 40x^2 is eqaul to 500. After dividing by 40 and taking the square root of the quotient, x is approximately 3.54. 5 times 3.54 and 8 times 3.54 will yield approximately 17.5 and 28 units.

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