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2 years ago

Find two numbers with a sum of 20 and a difference of 6.

Mathematics

2 answers:

KonstantinChe [14]2 years ago

7 0

Answer:

13 and 7

Step-by-step explanation:

x + y= 20 -----(1)

x - y= 6 --------(2)

From equation 1,

x= 20-y

To substitute in equation 2, We say:

(20-y) - y=6

20 - 2y = 6

-2y = 6-20

2y = 14

Therefore, y = 7

To find x,

We substitute y in equation 1

Therefore, x + 7= 20

x = 20-7

Therefore x = 13.

This means the two numbers with a sum of 20 and a difference of 6 =

13 and 7.

Alina [70]2 years ago

4 0

Answer:

7 and 13

Step-by-step explanation:

x+y=20

x-y=6

2x=26, x=13, 13+7=20, 13-7=6.

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Solve,justify and check: 3(7+5n)=6n+6(1+4n)

vlabodo [156]

Answer:

1=n

Step-by-step explanation:

Step 1- Distribute into the parenthesis.

7(3)+5(3)n= 6n+1(6)+4(6)n

Step 2- Multiply

21+15n= 6n+6+24n

Step 3- Add common variables to simplify.

21+15n= (24n+6n)+6

21+15n= 30n+6

Step 4- Subtract the smallest variable to both sides.

21+15n= 30n+6

-15n -15n

21= 15n+6

Step 5- Subtract 6 to both sides.

21= 15n+6

-6 -6

15= 15n

Step 6- Divide both sides by 15.

15= 15n

15 15

1=n

4 0

3 years ago

Read 2 more answers

Need help Asap thank you in advance

julia-pushkina [17]

Answer:

$12x^4-20x^2+32x=4x(3x^3-5x+8)$

Step-by-step explanation:

Common Factors

An algebraic expression that is formed by sums or subtractions of terms can be factored provided there are numeric or variable common factors in all the terms.

The following expression

$Z=12x^4-20x^2+32x$

Can be factored in the constants and in the variable x.

1. To find the common factor of the variable, we must locate if the variable is present in all terms. If so, we take the common factor as the variable with an exponent which is the lowest of all the exponents found throughout the different terms. In this case, the lowest exponent is x (exponent 1).

2. To find the common factors of the constants, we take all the coefficients:

12 - 20 - 32

and find the greatest common divisor of them, i.e. the greatest number all the given numbers can be divided by. This number is 4, since 12/4=3, 20/4=5 and 32/4=8

3. The factored expression is

$Z=12x^4-20x^2+32x=4x(3x^3-5x+8)$

$\boxed{12x^4-20x^2+32x=4x(3x^3-5x+8)}$

3 0

3 years ago

WILL AWARD BRAILEST!!!!!! A triangular prism has a triangular face with a base of 16.8 centimeters and a height of 10.2 centimet

VARVARA [1.3K]

Answer:

14 cm

Step-by-step explanation:

The first step is to find the area of the triangular base. The formula for the area of a triangle is $\frac{bh}{2}=\frac{10.2\cdot16.8}{2}=85.68$ . Now, you can divide the total volume by this to find the length. 1199.52/85.68=14. Hope this helps!