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Lana71 [14]
3 years ago
12

Sixteen added to a number is equal to forty. Find the number.

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

Answer:

The number is 24

Step-by-step explanation:

Let x = number

Add 16 to the number

x+16

Is equal to 40

x+16 = 40

Subtract 16 from each side

x+16-16 = 40-16

x = 24

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Please help me with these questions , thank you​
Angelina_Jolie [31]

Answer:

1. 4x^{3} + 26x² + 4x - 48

2. 2x^{3} - 23x² + 60x - 32

3. x^{5} + 7x^{3} - 4x + 2x^{4} + 14x² - 8

4. 2x^{7} + x^{6} - 28x^{5} + 3x + 12

Step-by-step explanation:

To multiply polynomials, simply distribute whatever's outside the largest set of parenthesis, then combine like terms.

1) Distribute the parenthesis (x + 6):

x(4x² + 2x - 8)  +  6(4x² + 2x - 8)

4x^{3} + 2x² -8x  +  6(4x² + 2x -8)

4x^{3} + 2x² -8x + 24x² + 12x - 48

Combine like terms:

4x^{3} + 26x² + 4x - 48

2) Distribute the parenthesis (x - 8):

x(2x² - 7x + 4)  +  (-8)(2x² - 7x + 4)

2x^{3} - 7x² + 4x  +  (-8)(2x² - 7x + 4)

2x^{3} - 7x² + 4x  +  -16x² + 56x - 32

Combine like terms:

2x^{3} - 23x² + 60x - 32

3) Distribute the parenthesis (x + 2):

x(x^{4} + 7x² - 4)  +  2(x^{4} + 7x² - 4)

x^{5} + 7x^{3} - 4x  +  2(x^{4} + 7x² - 4)

x^{5} + 7x^{3} - 4x + 2x^{4} + 14x² - 8

No like terms to combine, so:

x^{5} + 7x^{3} - 4x + 2x^{4} + 14x² - 8

4) Distribute the parenthesis (x + 4):

x(2x^{6} - 7x^{5} + 3)  +  4(2x^{6} - 7x^{5} + 3)

2x^{7} - 7x^{6} + 3x  +  4(2x^{6} - 7x^{5} + 3)

2x^{7} - 7x^{6} + 3x + 8  x^{6} - 28x^{5} + 12

Combine like terms:

2x^{7} + x^{6} - 28x^{5} + 3x + 12

hope this helps!

8 0
2 years ago
Where do the lines y=2x+1 and y=-5x-6 intersect?
kipiarov [429]
Answer: (-1,-1)

Explanation:

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3 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP<br> What is the value of x?
dedylja [7]

We know that a triangle is 180 degrees.

102+39=141

180-141=39

x=39

4 0
3 years ago
Read 2 more answers
Follow the steps and finish the solution. 7 (x minus 3) = 28 Distributive property: 7 x minus 21 = 28. Addition property of equa
Nookie1986 [14]

Answer:

7

Step-by-step explanation:

7(x - 3) = 28                 Given

7x - 21 = 28                  Distributive property

7x - 21 + 21 = 28 + 21   Addition property of equality

7x = 49                         Division Property of equality

7x/7=49/7                  

x = 7

6 0
3 years ago
Read 2 more answers
Y varies directly as X. If X=2 and y=10. Find Y when X=7
ser-zykov [4K]

Answer:

y= 35

Step-by-step explanation:

y directly proportional to x

where x= 2, y= 10

y=kx

10= k× 2

k= 10/2

k= 5

to find y when x is 7

y = kx

y = 5× 7

y= 35

6 0
2 years ago
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