MATHEMATICS HIGH SCHOOL

Which expression is equivalent to 5 x + 10 y minus 15?

Answers

Answer 1

Answer:

Answer:

5(x+2y-3)

Step-by-step explanation:

5x+10y-15

Factor out 5 from the expression

5(x+2y-3)

Answer 2

Answer:

Answer:

Step-by-step explanation:

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Which ordered pair is a solution to the system of equations? Use any method to solve. 2x-y=5 3x+2y=4

Answers

Elimination

2 ( 2x -y=5) multiply = 4x -2y=10
3x +2y=4

* add the X's and the 10 and 4 7x=14 * divide by 7 giving you

x=2

*and then plug back in

3(2) +2y =4
6 + 2y = 4
2y= -2
y= -1

the order pair is ( 2 , -1)

2x-y=5

3x+2y=4

We need to solve 2x-y=5 for y

Now let's start by adding -2x to both sides

2x-y-2x=5-2x

-y=-2x+5

Divide both sides by -1 so we eliminate the negative sign

-y/-1=-2x+5/-1

y=2x-5

Now substitute 2x-5 for y in 3x+2y=4

3x+2y=4

3x+2(2x-5)=4

3x+4x-10=4

7x-10=4

Add 10 to both sides

7x-10+10=4+10

7x=14

Divide both sides by 7 so we can find the value for x

7x/7=14/7

x=2

Now substitute 2 for x in y=2x-5 so we can find the value for y

y=2x-5

y=(2)(2)-5

y=4-5

y=-1

Answer: (2,-1)

I hope that's help:0

Evaluate......6!2!=?

Answers

Answer: The required value of the given expression is 1440.

Step-by-step explanation: We are given to evaluate the following expression involving factorials:

$E=6!2!.$

We know that

for any non-negative integer n, the factorial of n is defined as:

$n!=n*(n-1)*(n-2)*~.~.~.~*2*1.$

Therefore, the value of the given expression E will be

$E\n\n=6!2!\n\n=6*5*4*3*2*1*2*1\n\n=1440.$

Thus, the required value of the given expression is 1440.

Note that the required value of the given expression 6! 2! is 1440.

How is this so?

We are given to evaluate the following expression involving factorials -

E = 6! 2!

n! = x x (n-1) x (n-2 ) x .... x 2 x 1

Hence, , the value of the given expression E will be

= 6! 2!

= 6 x 5 x 4 x 3 x 2 x 1 x 2 x 1

= 1440

Recall that factorials are mathematical operations denoted by an exclamation mark (!) that represent the product of a positive integer and all positive integers less than it.

Learn more about factorials at:

brainly.com/question/25997932

#SPJ6

Find the Mode for the following data:

{7, 15, 3, 25, 33, 15, 21}

Answers

The mode is 15

mode is the number that shows up the most in any given set of number, in this case, 15, because it showed up twice, while all the other numbers showed up only once

15... mode is the most common number!

Write the equation and solve it. Melanie had 345 dollars to spend on 9 books. After
buying them she had 12 dollars. How much did each book cost ?
Someone help

Answers

Equation: 9x + 12 = 345
Answer: 37

Answer: 345 - 9x = 12 is the equation. Each book cost $37.

Step-by-step explanation: 345 - 12 = 333. This reveals that she spent $333 on books. We divide this by nine to find how much each cost. 333 / 9 = 37. In the equation, x = 37.

Please help... I HAVE to pass this. I'll mark as brainliest. I have an idea of how to solve it... but I wanna make sure.