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3 years ago

Answer please show steps please

Mathematics

1 answer:

erik [133]3 years ago

6 0

Answer:

25 girls

Step-by-step explanation:

Let

x denote number of boys

and

y denote number of girls

According to the statement that total 45 people came,

x+y = 45 => Eqn 1

And total paid amount was 175

So,

5x + 3y = 175 => Eqn 2

For solving, We will use the substitution method

So, from eqn 1

x = 45-y

Putting value of x in eqn 2

5(45-y) +3y = 175

225 - 5y + 3y = 175

-2y+225 = 175

-2y = 175-225

-2y = -50

2y = 50

y = 25

Putting y =25 in eqn 1

x+25 = 45

x = 45 - 25

x = 20

As y= 25

So, 25 girls came to the dance ..

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Answer:

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Step-by-step explanation:

In this case, because the coins have been replaced, the final probability would be multiplying the same probability six times (or raising it to exponent 6.). In other words, the probability of a dime coming out.

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Four to the power of three times four to the power of negative six is equal to four to the power of five times four to the power

ivann1987 [24]

The blank is -8

Step-by-step explanation:

Let us revise some rules of indices:

$a^{m}$ × $a^{n}$ = $a^{m+n}$
$a^{m}$ ÷ $a^{n}$ = $a^{m-n}$
$a^{m}$ = $a^{n}$ , them m = n

∵ $4^{3}$ × $4^{-6}$ = $4^{5}$ × $4^{x}$

∵ All bases are equal

∴ Use the first and third rule above to find x

∵ $4^{3}$ × $4^{-6}$ = $4^{3+-6}$

∴ $4^{3}$ × $4^{-6}$ = $4^{-3}$ ⇒ L.H.S

∵ $4^{5}$ × $4^{x}$ = $4^{5+x}$ ⇒ R.H.S

Equate L.H.S and R.H.S

∴ $4^{-3}$ = $4^{5+x}$

Equate the indices of the two sides

∴ -3 = 5 + x

- Subtract 5 from both sides

∴ -8 = x

∵ x represents the blank

∴ The blank = -8

The blank is -8

Learn more:

You can learn more about the indices in brainly.com/question/4419221

#LearnwithBrainly

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