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2 years ago

The ratio of boys to girls in a classroom is 2:6. If there are 40 students in the classroom, how many of them are girls.

Mathematics

2 answers:

Vera_Pavlovna [14]2 years ago

8 0

Answer:

120

Step-by-step explanation:

Boys will be the'2' of this ratio

e we know that 2x3 = 6

so, 40 x 3 will give us the number of girls

Nutka1998 [239]2 years ago

8 0

ratio can be simplified to 1:3

for every 1 boy there are 3 girls and together there are 4 total kids. So there would be 30 girls and 10 boys in the classroom.

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Natali [406]

Given that :- 

x = 4y +3

y = -2x -3

To Find :- 

Value of x.y

Solution :- 

→ x = 4y + 3 equation 1st

→ y = -2x -3 equation 2nd .

Now putting the value of x from first equation to second equation.

→ y = -2(4y +3 ) -3

→ y = -8y - 6 - 3

→ y + 8y = -9

→ 9y = -9

→ y = -1

Now putting the value of y in equation first .

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Which of the following pairs of ratios are equivalent?

aliya0001 [1]

Answer:

38 : 133 and 16 : 56 are equivalent

Step-by-step explanation:

Given

1) $38 : 133$ and $16 : 56$

2) $15 : 20$ and $28 : 56$

Required

Determine which is equivalent

1) $38 : 133$ and $16 : 56$

$Ratio = 38 : 133$

Divide by 19

$Ratio = 2:7$ --- can't be further simplified

$Ratio = 16 : 56$

Divide by 8

$Ratio = 2:7$

Hence:

$38 : 133$ and $16 : 56$ are equivalent

2) $15 : 20$ and $28 : 56$

$Ratio = 15 : 20$

Divide by 5

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andriy [413]

ANSWER

$S_ \infty = \frac{40}{3}$

EXPLANATION

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The first term of the series is,

$a_1=20$

The common ratio of this series is,

$r = \frac{ - 10}{20}$

This simplifies to,

$r = - \frac{1}{2}$

The sum to infinity of this sequence is given by the formula,

$S_ \infty = \frac{a_1}{1-r}$

We substitute the above values into the formula to obtain,

$S_ \infty = \frac{20}{1- - \frac{1}{2} }$

This simplifies to,

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