MATHEMATICS MIDDLE SCHOOL

The regular price of a Zebra-FX skateboard is $180, but it is on sale at a 25% discount.A. How much is the discount?
B. What is the sale price?
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Answers

Answer 1
Answer:

Answer:

discount $45

new price $135


Step-by-step explanation:


180 * .25 = 45

they get 45 dollars off

180 -45 = 135

sale price $135

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What is the lcm of two numbers if one number is a multiple of the other give example

Answers

The LCM is multiple which is useful if fractions need to be expressed in the same name, and the further discussion can be defined as follows:

When the other number is multiple, LCM will have the larger number:

Example:

  • So, the 2 and 4 LCM.
  • The lcm is 4 since 2 and 4 are both 4 and 4.

Otherwise;

  • The number which multiplies the other one is the LCM of these two numbers.
  • The LCMs of 8 and 56 have such a factor of 56, as 8 are 56 and 56 can be seven times and 56 are an independent factor.

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the greater number will be the lcm if the other number is a multiple

For instance:

the lcm of 2 and 4

the lcm is 4 as 2 and 4 are both multiples of 4

Let s be an integer. Alonso claims that -s must always be less than 0. IIiana claims that -s is only sometimes less than 0. Whose statement is correct? Help please.

Answers

Iliana is correct since an integer means a whole number that is not a fraction, which includes negative AND positive numbers. If s=4 than -s is negative (-4) But if we plug in a negative integer, like -5, the negative signs are eliminated and it becomes positive, therefore Alonso is wrong (-s=-(-5)=5) If the question was about a natural number Alonso would have been right since natural numbers are only from 0 and above

Solve the system if equations by substitution

Y=3x-13
3x+2y=19

Answers

\left \{ {{y=3x-13} \atop {3x+2y=19}} \right. \n\nSubstitution\n\n3x+2(3x-13)=19\n\n3x+6x-26=19\n\n9x-26=19\ \ \ |add\ 26\n\n9x=45\ \ \ | divide\ by\ 9\n\nx=5\ny=3x-13=3*5-13=15-13=2\n\n\nx=5\ny=2

The solution to the system of equations is x = 5 and y = 2.

Given that:

The system of equations:

y = 3x - 13                                   (1)

3x + 2y = 19                                 (2)

Step 1: Solve equation (1) for Y:

y = 3x - 13

Step 2: Substitute y from equation (1) into equation (2):

3x + 2(3x - 13) = 19

Step 3: Simplify the equation and solve for x:

3x + 6x - 26 = 19

9x - 26 = 19

9x = 19 + 26

9x = 45

x = 45/9

x = 5

Step 4: Substitute x = 5 into equation (1) to find Y:

y = 3(5) - 13

y = 15 - 13

y = 2

So, the values of x and y are 5 and 2, respectively.

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Toni Mahoney is using Biscuit Betty's recipe that requires 5 1/3 pounds of flour to make biscuits for her brunch. Suddenly, Toni learns that 4 times as many people are coming to her bunch than originally planned. How much flour will Toni need to make her biscuits? Explain how tou got your answer.

Answers

21 1/3 pounds of flour. We know it takes 5 1/3 pounds of flour for one brunch. So, if there are 4 times as many people, we have to multiply 5 1/3 by 4. After you do 5 1/3 times 4 you will get 21 1/3 pounds of flour.

What two numbers add to +5 and have a product of -3?

Answers

They don't come out even.
As rounded decimals, the two numbers are

5.54138...  and  -0.54138...

If y=x and y=x+2 are the same, then how many solutions does it have

Answers

Answer:

  none

Step-by-step explanation:

"they are the same" translates to ...

  x = x +2

  0 = 2 . . . . . . subtract x from both sides. — a FALSE statement

There are no values of x or y that make this true.

_____

The two equations describe parallel lines, so they cannot be "the same." There are no points of intersection.
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