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3 years ago

Write the ratio as a fraction in simplest form.

Mathematics

1 answer:

vitfil [10]3 years ago

5 0

Answer:

Part 1) $\frac{5}{2}$ or $5:2$

Part 2) $\frac{8}{1}$ or $8:1$

Step-by-step explanation:

Write the ratio as a fraction in simplest form

Part 1) 15 girls to 6 boys

we know that

To find out the ratio, divide the number of girls by the number of boys

$\frac{15}{6}$

Simplify

Divide by 3 both numerator and denominator

$\frac{5}{2}\ \frac{girls}{boys}$

Part 2) 24 plays for 3 teams

we know that

To find out the ratio, divide the number of plays by the number of teams

$\frac{24}{3}$

Simplify

Divide by 3 both numerator and denominator

$\frac{8}{1}\ \frac{plays}{team}$

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Solve the system of equations using substitution. X = 2 4 = 2y - 6x

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Answer:

-2y=-6(2)-4

-2y=-12-4

-2y/-2=-16/-2

y=8

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4 years ago

Amelia and Elliott are collecting empty soda cans for recycling. Amelia has 13 less than 5 times the cans that Elliott has. Toge

xeze [42]

Answer:

D.) Elliott has 212 cans, Amelia has 45 cans

Step-by-step explanation:

257 = x + (5x - 12)

257 = 6x - 13

+13 +13

270 = 6x

/6 /6

45 = x (the amount of Amelia's cans)

257 - 45 = 212 (the amount of Elliott's cans)

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3 years ago

If two friends invested in a ratio of 2:3 and earned a profit of Rs. 25,000 on their investments, then the smaller share of the

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3 years ago

How many whole numbers are between 1 and 50 that are divisible by 2?

kupik [55]

Answer:

Step-by-step explanation:

The first number in the range 1 - 50 that is divisible by 2 is 2 itself. Then 4, 6, 8, ....

Here's one way to think and count:

$2 \rightarrow 1\\4 \rightarrow 2\\6 \rightarrow 3\\8 \rightarrow 4\\\vdots\\50\rightarrow 25$

In the table, the number on the right is half the number on the left. The numbers on the right are just counting numbers (natural numbers), so there are 25 even numbers between 1 and 50.

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3 years ago

Read 2 more answers

What are the roots to the equation 2x² + 6x-1=0?

lys-0071 [83]

Answer:

The roots of equations are as m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$ And n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$

Step-by-step explanation:

The given quadratic equation is 2 x² + 6 x - 1 = 0

This equation is in form of a x² + b x + c = 0

Let the roots of the equation are ( m , n )

Now , sum of roots = $\frac{ - b}{a}$

And products of roots = $\frac{c}{a}$

So, m + n = $\frac{ - 6}{2}$ = - 3

And m × n = $\frac{ - 1}{2}$

Or, (m - n)² = (m + n)² - 4mn

Or, (m - n)² = (-3)² - 4 ( $\frac{ - 1}{2}$ )

Or, (m - n)² = 9 + 2 = 11

I.e m - n = $\sqrt{11}$

Again m + n = - 3 And m - n = $\sqrt{11}$

Solving this two equation

(m + n) + ( m - n) = - 3 + $\sqrt{11}$

I.e 2 m = - 3 + $\sqrt{11}$

Or, m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$

Similarly n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$

Hence the roots of equations are as m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$ And n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$ Answer

6 0

4 years ago