What fractions are equal to two thirds?

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

7 0

Two thirds can equal: 4/6, 6/9, 8/12, 10/15, etc.

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The sum of negative 45 times a number<br> and twelve is 117. What is the number?

blagie [28]

Answer:

-2.33

Step-by-step explanation:

Let the number be denoted as "x"

-45x + 12 = 117

-45x = 117-12

-45x = 105

x = 105/-45

x= -2.33

7 0

3 years ago

Amber works as a waitress at a restaurant. She earns an hourly wage and also earns tips. One night, she worked 6 hours and earne

marshall27 [118]

Answer:

Hey there!

The given equation helps us understand the relationship between Amber's tips earned and the money she earned through her hourly wage. This information will add up to equal a grand total of $69.20.

We know that Amber earns $15.50 in tips during her 6 hour shift. Therefore, this is not considered part of her wage. This would be one of the constants of our equation.

We also know that Amber earns a fixed hourly wage, but we don't know what this wage is. We need to find w.

$6w+15.5=\$69.20$

Subtract 15.5 from both sides of the equation (and get rid of the currency symbol).

$6w=69.20-15.5\\6w=53.7$

Divide both sides of the equation by 6.

$\displaystyle \frac{6w}{6}=\frac{53.7}{6}\\\\w=8.95$

Therefore, Amber's hourly wage is $8.95.

4 0

2 years ago

Suppose the voltage in an electrical circuit varies with time according to the formula V(t) = 40 sin(t) for t in the interval [0

grigory [225]

The numerical value of the mean voltage is 25.47 V

To find the numerical value of the mean voltage, V of V(t) = 40 sin(t), we integrate V(t) with respect to t over the interval [0.π]

So,

$V = \frac{1}{\pi } \int\limits^\pi _0 {V(t)} \, dt \\V = \frac{1}{\pi } \int\limits^\pi _0 {40sint} \, dt \\V = \frac{1}{\pi } [-40cost]_{0}{\pi } \\V = \frac{1}{\pi } -[40cos\pi - 40cos0]\\\\V = \frac{1}{\pi } (-[40 X (-1) - 40 X 1})\\V = -\frac{1}{\pi } [-40 - 40]\\V = \frac{80}{\pi } \\V = 25.465 V$