MATHEMATICS
HIGH SCHOOL

how do you solve it?

Answer: 6n−20=−2n+4(1−3n)

Simplify both sides of the equation.

−6n−20=−2n+4(1−3n)

−6n+−20=−2n+(4)(1)+(4)(−3n)(Distribute)

−6n+−20=−2n+4+−12n

−6n−20=(−2n+−12n)+(4)(Combine Like Terms)

−6n−20=−14n+4

−6n−20=−14n+4

Add 14n to both sides.

−6n−20+14n=−14n+4+14n

8n−20=4

Add 20 to both sides.

8n−20+20=4+20

8n=24

Divide both sides by 8.

8n/8 = 24/8

n=3

Simplify both sides of the equation.

−6n−20=−2n+4(1−3n)

−6n+−20=−2n+(4)(1)+(4)(−3n)(Distribute)

−6n+−20=−2n+4+−12n

−6n−20=(−2n+−12n)+(4)(Combine Like Terms)

−6n−20=−14n+4

−6n−20=−14n+4

Add 14n to both sides.

−6n−20+14n=−14n+4+14n

8n−20=4

Add 20 to both sides.

8n−20+20=4+20

8n=24

Divide both sides by 8.

8n/8 = 24/8

n=3

Answer: -6n - 20 = -2n + 4(1-3n)

-6n - 20 = -2n + 4 - 12n

-6n + 12n + 2n = 4+20

8n = 24 |:8

n=3

-6n - 20 = -2n + 4 - 12n

-6n + 12n + 2n = 4+20

8n = 24 |:8

n=3

MIDDLE SCHOOL

What is 2x-2+11=3x+5

Answer:

X=4

Simplify

2

x

−

2

+

1

1

2x−2+11 to

2

x

+

9

2x+9.

2

x

+

9

=

3

x

+

5

2x+9=3x+5

2 Subtract

2

x

2x from both sides.

9

=

3

x

+

5

−

2

x

9=3x+5−2x

3 Simplify

3

x

+

5

−

2

x

3x+5−2x to

x

+

5

x+5.

9

=

x

+

5

9=x+5

4 Subtract

5

5 from both sides.

9

−

5

=

x

9−5=x

5 Simplify

9

−

5

9−5 to

4

4.

4

=

x

4=x

6 Switch sides.

x=4

2x+9=3x+5

9-5=3x-2x

4=x

9-5=3x-2x

4=x

COLLEGE

Factor f(x)= 3x³+5x²-47x+15 into linear factors given that -5 is a zero of f(x)

If -5 is a zero then f(x) is divisible by (x + 5)

the quotient when F*x) is divided by x + 5 is :-

3x^2 - 10x + 3

this factors to

(3x - 1)(x - 3)

so the answer is (x + 5)(3x - 1)(x - 3)

the quotient when F*x) is divided by x + 5 is :-

3x^2 - 10x + 3

this factors to

(3x - 1)(x - 3)

so the answer is (x + 5)(3x - 1)(x - 3)

MIDDLE SCHOOL

How to find perimeter of ceiling

Answer:

add up the lengths of all the sides of the ceiling,is there a diagram that comes with this or something?

Step-by-step explanation:

MIDDLE SCHOOL

Write in the form p(x+q)²+r

2x²-5x+1

HIGH SCHOOL

planets a, b and c orbit a certain star once every 3, 7, and 18 months respectively. if the three planets are now in the same straight line, what is the smallest number of months that must pass before they line up again?

Basically, what is the smallest number which all can multiply to

3=3

7=7

18=2*3*3

2*3*3*7=126

answer is 126 months

3=3

7=7

18=2*3*3

2*3*3*7=126

answer is 126 months

COLLEGE

Determine the validity of the following argument: For students to do well in a discrete mathematics course, it is necessary that they study hard. Students who do well in courses do not skip classes. Students who study hard do well in courses. Therefore students who do well in a discrete mathematics course do not skip class.

Answer: True

Step-by-step explanation:

Let p= Students who do well in course do not skip class

q= Student who study hard do well in course

So p^q= Student who study hard and who do well in course do not skip class.

If p= true and q=true then p^q= true by discrete maths.

MIDDLE SCHOOL

Beth has $300 in her bank account. She buys x shirts for $20 each. Wright and solve an inequality Beth can use to find how many shirts she can use to find how many shirts she can buy and still have $100 in her account.

There will be 10 shirts she can use to find how many shirts she can buy and still have $100 in her account.

What is inequality?When both sides of a mathematical expression have mathematical signs that are either less than or greater than one another known as inequality

It is given that, Beth's bank account has $300 and she spends $20 on each of x shirts.

We must do the arithmetic operation known as the inequality, which entails multiplying the given data by x and then applying the inequality

The money for the x shirt is 20x and the rest of the money is 300-20x

The inequality helps them to find the shirts they can buy and still have $100 in their account is,

=300-20x>100.

The number of shirts is obtained by solving the inequality as,

300-20x=100

20x = 300-100

20x=200

x=200/20

x=10

Thus, she can use the 10 shirts to determine how many shirts she can purchase while still having $100 in her account.

Learn more about inequality here:

brainly.com/question/19491153

#SPJ2

300-100 to make sure that she still has the $100 saved and Beth will have $200 to spend on shirts.

200/20 is 10 So Beth can buy 10 shirts for $20 dollars each with 100 dollars still left in her account. I HOPE THIS HELPS!!!

200/20 is 10 So Beth can buy 10 shirts for $20 dollars each with 100 dollars still left in her account. I HOPE THIS HELPS!!!

MIDDLE SCHOOL

Devin has 39 toy blocks. What is the value of the digit 9 in this number?

we know that

the number in expanded form is equal to

so

in words

the number has tens and ones

the would be the tens place, and the would be in the ones place

therefore

the answer is

the value of the digit, of number, in the problem, is one, which is the value of place value

The ones.it will be the ones because its in the ones place think of it like this 9 without the 3 but when you add the 3 it becomes 39

MIDDLE SCHOOL

Write an algebraic expression of 15 decreased by two times p

''Decreased'' means subtract and ''times'' means multiplication so the algebraic expression should be 15 - 2 * p.

Your expression would be 15 - 2 * p.