The drama club is selling tickets to their play to raise money for the show's expenses.

a positive number is 5 times less than another positive number. Six times the lesser number plus 3 times the greater is 3. Find

IgorLugansk [536]

<h2>Greetings!</h2>

Answer:

One number is $\frac{5}{7}$ and the other number is $\frac{1}{7}$

Step-by-step explanation:

Let x be the smaller number and y be the bigger number.

x = x

y = 5x

6x + 3y = 3

6x + (3 * 5x) = 3

6x + 15x = 3

(÷3)

2x + 5x = 1

7x = 1

x = $\frac{1}{7}$

6x + 3y = 3

6( $\frac{1}{7}$ ) + 3y = 3

$\frac{6}{7}$ + 3y = 3

3y = 3 - $\frac{6}{7}$

3y = $\frac{15}{7}$

Divide both sides by 3 to get 1y:

y = $\frac{5}{7}$

So one number is $\frac{5}{7}$ and the other number is $\frac{1}{7}$

<h2>Hope this helps!</h2>

5 0

3 years ago

What does y is two less than x stand for

solong [7]

Answer:

Y = X - 2 would be the answer.

5 0

3 years ago

Read 2 more answers

Can someone please help me with the slope?

nalin [4]

Answer:

1/2

Step-by-step explanation:

For each two units that this line moves to the right, it rises one. This means that it has a slope of 1/2. Hope this helps!

3 0

3 years ago

Can someone solve this?

ladessa [460]

First question:

Recall that $\cos^2x+\sin^2x=1$ and $\sqrt{x^2}=|x|$ for all $x$ . So

$\sqrt{1-\cos^2x}=\sqrt{\sin^2x}=|\sin x|$

$\sqrt{1-\sin^2x}=\sqrt{\cos^2x}=|\cos x|$

For $0$ , we expect both $\cos x>0$ and $\sin x>0$ (i.e. the sine and cosine of any angle that lies in the first quadrant must be positive). By definition of absolute value, $|x|=x$ if $x>0$ .

So we have

$\dfrac{\sqrt{1-\cos^2x}}{\sin x}+\dfrac{\sqrt{1-\sin^2x}}{\cos x}=\dfrac{\sin x}{\sin x}+\dfrac{\cos x}{\cos x}=1+1=\boxed{2}$

making H the answer.

Second question:

C is always true, because the inequality reduces to x > y.

6 0

3 years ago

A laptop company claims up to 11.0 hours of wireless web usage for its newest laptop battery life. However, reviews on this lapt

emmainna [20.7K]

Answer:

Step-by-step explanation:

given that a laptop company claims up to 11.0 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 10.5 hours and standard deviation 27 minutes.

convert into same units into hours.

X is N(10.5, 0.45)

a) the probability that the battery life is at least 11.0 hours

$P(X\geq 11)\\\\=1-0.8667\\=0.1333$

(b) the probability that the battery life is less than 10.0 hours

= $P(X$

(c) the time of use that is exceeded with probability 0.97

=97th percentile

= 11.844

d) The time of use that is exceeded with probability 0.9 is

is 90th percentile = 10.885

8 0

3 years ago