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Anna11 [10]
1 year ago
15

What is 8/15 plus 2/5 equal to

Mathematics
1 answer:
anastassius [24]1 year ago
5 0

We have to add 8/15 to 2/5.

To add two fractions we have to make them have the same denominator, so we have to convert 2/5 to have a denominator of 15. To do this, we have to multiply 2/5 by 3 and then we can add the fractions:

\begin{gathered} \frac{8}{15}+\frac{2}{5} \\ \frac{8}{15}+\frac{2}{5}\cdot\frac{3}{3} \\ \frac{8}{15}+\frac{6}{15} \\ \frac{14}{15} \end{gathered}

Answer: 14/15

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Dr. Drazzle collected 70 L of ocean water to test for antibacterial properties he split the water into 100 samples how much wate
Mazyrski [523]
70 liters ÷ 100 samples= 0.7 or 7/10 liter per sample

Hope this helps! :)
6 0
3 years ago
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Please someone what is the total surface area of this pryamid ​
Dimas [21]

Answer:

\large\boxed{C.\ (25+25\sqrt3)\ in^2}

Step-by-step explanation:

We have the square and four equilateral triangles.

The formula of an area of a squre:

A_S=a^2

a - length of side

The formula of an area of an equilateral triangle:

A_T=\dfrac{a^2\sqrt3}{4}

a - length of side

Clculate the areas:

SQURE:

A_S=x^2\ in^2

TRIANGLE:

A_T=\dfrac{x^2\sqrt3}{4}\ in^2

The SURFACE AREA of a square pyramid:

S.A.=A_S+4A_T\\\\S.A.=x^2+4\cdot\dfrac{x^2\sqrt3}{4}=x^2+x^2\sqrt3

Put x = 5:

S.A.=5^2+5^2\sqrt3=(25+25\sqrt3)\ in^2

7 0
3 years ago
Identify the vertex, axis of symmetry, maximum, or minimum, domain and range of each function.
Fynjy0 [20]

Answer:  see below

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is:    y = a(x - h)² + k     where

  • "a" is the vertical stretch (positive = min [U], negative = max [∩])
  • (h, k) is the vertex
  • Axis of Symmetry is always: x = h
  • Domain is always: x = All Real Numbers
  • Range is y ≥ k when "a" is positive or y ≤ k when "a" is negative

a) y = 2(x - 2)² + 5

        ↓       ↓      ↓

      a= +   h= 2   k= 5

Vertex: (h, k) = (2, 5)

Axis of Symmetry: x = h  →  x = 2  

Max/Min: "a" is positive → minimum

Domain: x = All Real Numbers

Range:  y ≥ k → y ≥ 5

b) y = -(x - 1)² + 2

        ↓       ↓      ↓

      a= -   h= 1   k= 2

Vertex: (h, k) = (1, 2)

Axis of Symmetry: x = h  →  x = 1  

Max/Min: "a" is negative → maximum

Domain: x = All Real Numbers

Range:  y ≤ k → y ≤ 2

c) y = -(x + 4)² + 0

        ↓       ↓      ↓

      a= -  h= -4   k= 0

Vertex: (h, k) = (-4, 0)

Axis of Symmetry: x = h  →  x = -4  

Max/Min: "a" is negative → maximum

Domain: x = All Real Numbers

Range:  y ≤ k → y ≤ 0

d) y = 1/3(x + 2)² - 1

        ↓       ↓      ↓

      a= +  h= -2   k= -1

Vertex: (h, k) = (-2, -1)

Axis of Symmetry: x = h  →  x = -2  

Max/Min: "a" is positive → minimum

Domain: x = All Real Numbers

Range:  y ≥ k → y ≥ -2

6 0
3 years ago
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Alchen [17]
This is simple proportions, because of their similarity:

\frac{13}{38.6} = \frac{10}{x}

x =  \frac{386}{13}
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A local business in Central Florida is looking for a new employee to manage the company’s website. The company is looking to hir
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Answer:

The answer is 58

Step-by-step explanation:

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