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LenKa [72]
3 years ago
5

What is the sum of ​ 4/15 + 8| 1/3 ​ ?

Mathematics
1 answer:
stealth61 [152]3 years ago
3 0

Answer:

  8 3/5

Step-by-step explanation:

Fractions are added using a common denominator. Here, the denominator 3 is a factor of the denominator 15, so the common denominator can be 15, which is the least common multiple of the two numbers.

The fraction 1/3 is equal to 5/15, found by multiplying by 1 in the form 5/5. Then the sum is ...

  4/15 + 8 5/15 = 8 + (4/15 +5/15) = 8 9/15

The fraction 9/15 can be reduced by factoring out 3/3: 9/15 = (3/5)(3/3). Then the reduced mixed number sum is ...

  4/15 +8 1/3 = 8 3/5

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2. Given the function f : x -> |x+8|, find the possible values of x when the image is 3.
Harman [31]

Answer:

f (x)=11

Step-by-step explanation:

f (x)= x + 8

f (3)= (3 +8)

=f(x) =11

**replace the x with a variable which is 3

3 0
3 years ago
What is the vertex and axis of symmetry for y=4x^2-12x+9?
VLD [36.1K]

Answer:

axis of symmetry   x=3/2

vertex  (3/2, 0)

Step-by-step explanation:

to find the axis of symmetry we use h = -b/2a

where ax^2 + bx+c


h = -(-12)/2(4)

h= 12/8

h = 3/2

the axis of symmetry is x = 3/2

the x coordinate of the vertex is h x=3/2

to find k, the y coordinate of the vertex, substitute x=3/2 into the equation

y=4x^2-12x+9

y=4(3/2) ^2-12(3/2)+9

 = 4 (9/4)  - 6*3 +9

  = 9-18+9

  = 0


the vertex (3/2, 0)

4 0
3 years ago
The area of a square bedroom is 144 square feet. what is the length of one wall?
Rufina [12.5K]
The answer is:  "12 feet" .
________________________________
Note:  In a square, the length of EACH of the four sides of the square is the same.

Area = Length * width. 

For a square, length = width.

So for a square, Area = length * width = (length of a side)² = s² ,

Given:  A = s² = 144 ft² ;

Solve for the positive value of "s" .
________________________________
  →  s² = 144 ft² ;  Take the "square root" of each side ;

  → √(s²) = √(144 ft²) ;

  →   s = 12 ft.
_______________________________
The answer is:  12 ft.
_______________________________
6 0
3 years ago
-onsider x + 4 = x + 8. What values could be substituted for x to make this a true
devlian [24]

Answer:

No because upon subtracting x on both sides you obtain a false equation of 4=8.

The problem:

What are x values that satisfy:

x+4=x+8?

Step-by-step explanation:

No number can be substituted into x+4=x+8 to make it true.

There is no number that you can find such that when you add 4 to it will give you the same as adding 8 to it.

Also if you subtract x on both sides you obtain the equation 4=8.

4=8 is not true so x+4=x+8 is never true for any x.

7 0
3 years ago
A sculptor is selling her work at an exhibit and hopes to earn at least $31,000 in revenue. Small pieces go for $780 and large p
Sauron [17]

The answer should be

780x + 1500y=31000

please correct me if i'm wrong

3 0
3 years ago
Read 2 more answers
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