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Margarita [4]
2 years ago
6

A school is organising a competition. There are 128 students from the Maths specialist class and 80 students from the English sp

ecialist class who want to participate. They split into equal groups containing both Maths and English students. The school forms the greatest possible number of teams. How many English students will there be in each team?plz step by step explanation​
Mathematics
1 answer:
Elden [556K]2 years ago
3 0

Answer:

5 english students in each team

Step-by-step explanation:

So there are multiple ways to do this, you could do trial and error or you could factor out common numbers between the two.

Through trial and error, the lowest possible number of groups that could be divided between the number of students whilst still being able to maintain a whole # was 16 groups

  • 128 math students ÷16 groups = 8 math students/group
  • 80 english students ÷ 16 groups = 5 english students/group

The other way to solve this is to factor out common numbers between the two:

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BARSIC [14]

Answer:

x= 0 , \frac{1}{14} , \frac{-1}{12}

Step-by-step explanation:

Given, equation is \sqrt[3]{15x-1} + \sqrt[3]{13x+1} = 4\sqrt[3]{x}. →→→ (1)

Now, by cubing the equation on both sides, we get

( \sqrt[3]{15x-1} + \sqrt[3]{13x+1} )³ = (4\sqrt[3]{x})³

⇒ (15x-1) + (13x+1) + 3×\sqrt[3]{15x-1}×\sqrt[3]{13x+1} (\sqrt[3]{15x-1} + \sqrt[3]{13x+1}) = 64 x.

⇒ 28x + 3×\sqrt[3]{15x-1}×\sqrt[3]{13x+1} (4\sqrt[3]{x}) = 64x.        

(since from (1),  \sqrt[3]{15x-1} + \sqrt[3]{13x+1} = 4\sqrt[3]{x})

⇒ 12× \sqrt[3]{15x-1}×\sqrt[3]{13x+1} (\sqrt[3]{x})= 36x.

⇒ 3x = \sqrt[3]{(15x-1)(13+1)(x)}.

Now, once again cubing on both sides, we get

(3x)³ = (\sqrt[3]{(15x-1)(13+1)(x)})³.

⇒ 27x³ = (15x-1)(13x+1)(x).

⇒ 27x³ = 195x³ + 2x² - x

⇒ 168x³ + 2x² - x = 0

⇒ x(168x² + 2x -1) = 0

⇒ by, solving the equation we get ,

x = 0 ; x = \frac{1}{14} ; x = \frac{-1}{12}

therefore, solution is x= 0 , \frac{1}{14} , \frac{-1}{12}

7 0
3 years ago
Find last​ year's salary​ if, after a 5 %5% pay​ raise, this​ year's salary is $ 33 comma 075$33,075.
Anvisha [2.4K]
$33,075 = 0.05S + S

$33,075 = 1.05S


$33,075/1.05 = 1.05S/1.05


S= $31,500


Check


$31,500 * 5% = $1575 + $31,500 =$33,075
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bazaltina [42]
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Answer:

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when x goes to the left it is negative and when y goes up it is positive, making B the only possible answer choice.

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