MATHEMATICS MIDDLE SCHOOL

Find the commission on a 1 250 sale with a commission rate of 5 A. 62.50
B. 6.25
C. 75.00
D. 125.00

Answers

Answer 1
Answer: the answer is A 62.50
Answer 2
Answer: Yes, A is the correct answer. 

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The sum of two numbers is 43. One number is five less than three times the other number. What is the largest number?

Answers

Answer:

31

Step-by-step explanation:

Let the numbers be x and y.

"The sum of two numbers is 43." gives us the first equation.

x + y = 43

"One number is five less than three times the other number." gives us the second equation.

y = 3x - 5

Now we solve the system of two equations below.

x + y = 43

y = 3x - 5

Since the second equation is already solved for y, we will use the substitution method. We substitute 3x - 5 for y in the first equation.

x + y = 43

x + 3x - 5 = 43

4x - 5 = 43

4x = 48

x = 12

The first number is 12. Now we find the second number.

x + y = 43

12 + y = 43

y = 31

The larger number is 31.

Answer:

31 is greater

Step-by-step explanation:

I will solve your system by substitution.

x=3y−5;43=x+y

Step: Solve x=3y−5 for x:

Step: Substitute 3y−5for x in 43=x+y:

43=x+y

43=3y−5+y

43=4y−5 (Simplify both sides of the equation)

43+−4y=4y−5+−4y (Add -4y to both sides)

−4y+43=−5

−4y+43+−43=−5+−43 (Add -43 to both sides)

−4y=−48

(Divide both sides by -4)

y=12

Step: Substitute12foryinx=3y−5:

x=3y−5

x=(3)(12)−5

x=31(Simplify both sides of the equation)

Answer:

x=31 and y=12

31 is greater than 12

Cam's mom dropped him off at a birthday party at 3:16. The party ends at 6:00. How long will Cam be at the party? Please help

Answers

Start by calculating minutes until 4:00. So, from 3:16 to 3:20, there is 4 minutes, then from 3:20 to 4:00 there is 40 minutes. 44 minutes total. Then, from 4:00 to 6:00 there is 2 hours. The total time he is at the party is 2 hours and 44 minutes.
2 hours and 44 minutes

Identify which of these quadrilateral's are parallelograms.

Answers

Answer:

B

E

F

Opposite Sides equal

Opposite sides parallel

Step-by-step explanation:

How many solutions are there to an inequality

Answers

I depends on the problem i believe.

What is the mode of the following numbers?8, 10, 8, 5, 4, 7, 5, 10, 88,10,8,5,4,7,5,10,88, comma, 10, comma, 8, comma, 5, comma, 4, comma, 7, comma, 5, comma, 10, comma, 8

Answers

The mode of this is 8,10, and 5

The answer to this is 10 and 5

Emily cut a triangle with a height of 4 inches and a base of 6 inches out of a square piece of wood measuring 18 inches by 18 inches. He keeps the leftover wood for other projects. What is the area of the wood he will have left over

Answers

This is definitely one of those kinds of problems that's hard to do without visualizing the slab of wood.

     Step one is to find the total area of the slab of wood before any cuts are made. What's the formula to find the area of a rectangle? base*height. The square is 18 long and 18 high, so to find the area you'd need to do 18*18, and you should get 324 inches^2 as the area of the square. 
     Step two is to find the area of a triangle. How can you find the area of a triangle? Well, think of it this way... What do you get when you cut a square in half, diagonally? A triangle! So if the formula for the area of a square is A=bh (base*height), then wouldn't the formula of a triangle be 1/2(bh), since a triangle is half of a square? Yep! So what would be the area of this triangle? It would be 1/2(6*4), because the base is 6 and the height is 4. 6*4 is 24, so now you have 1/2*24. One half of 24 is 12, so the area of the triangle he uses is 12.
     Step 3: If he uses that wood, doesn't that mean he's taking it away? What's another word for "take away"? Subtract! That means you subtract the triangle he uses from the square he cut it out from! If the area of the square slab of wood is 324, and you subtract 12, 324 -12 is 312! That means that the area of wood he will have left over is 312 inches ^2! I hope this was helpful!
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