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Nesterboy [21]
2 years ago
13

Graph the following equation on the graph. 2x−3y= −6

Mathematics
1 answer:
miskamm [114]2 years ago
8 0
Y=-2/3x-2!

I hope this helped! Mark me Brainliest! :) -Raven❤️

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Which of these expressions is equivalent to (12/5) ?
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D is the answer for equivalent
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In a group of 40 people, 27 can speak English and 25 can speak Spanish. How many can speak
Svetradugi [14.3K]

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Information \: provided \:  with  \: us }}}}}\: \bigstar}

➻ In a group of 40 people, 27 can speak English and 25 can speak Spanish.

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{What \: we \:  have  \: to \: find ? }}}}}\: \bigstar}

➻ The required number of people who can speak both English and Spanish .

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Assumption}}}}}\: \bigstar}

<u>Consider</u> ,

➻ A → Set of people who speak English.

➻ B → Set of people who speak Spanish

➻ A∩B → Set of people who can speak both English and Spanish

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Given}}}}}\: \bigstar}

  • ➻ n (A) = 27

  • ➻ n (B) = 25

  • ➻ n (A∪B) = 40

  • ➻ n(A∩B) = ?

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Now}}}}}\: \bigstar}

➻ n(A∪B) = n(A) + n (B) - n(A∩B)

➻ 40 = 27 + 25 - n (A∩B)

➻ 40 = 52 - n (A∩B)

➻ n (A∩B) = 52 - 40

➻ ∴ n (A∩B) = 12

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Therefore}}}}}\: \bigstar}

∴ Required Number of persons who can speak both English and Spanish are <u>12 .</u>

━━━━━━━━━━━━━━━━━━━━━━

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Verification}}}}}\: \bigstar}

➻ n(A∪B) = n(A) + n (B) - n(A∩B)

➻ 40 = 27 + 25 - 12

➻ 40 = 52 - 12

➻ 40 = 40

➻ ∴ L.H.S = R.H.S

━━━━━━━━━━━━━━━━━━━━━━

6 0
2 years ago
Uma is planning to decorate a blanket with a triangular shape that has a base of 5 centimeters and a height of 7 centimeters. Sh
Mariana [72]

Answer:

<h2>1,190cm²</h2>

Step-by-step explanation:

The Area of a triangle is expressed  as 1/2 * base * height. If uma is planning to decorate a blanket with a triangular shape that has a base of 5 centimetres and a height of 7 centimetres, area of the blanket will be expressed as shown;

Area of the blanget = 1/2 * 7 * 5

Area of a blanket = 35/2 = 17.5cm²

If she plans to cut out 68 triangles with these dimensions, the total area will be total number of triangles * area of one triangle i.e 68 * 17.5 = 1,190cm²

6 0
3 years ago
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