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3 years ago

Which shows three equivalent rational numbers?

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

8 0

The answer is: A

i hope this helps and have a wonderful day!!

lord [1]3 years ago

3 0

The correct answer is A.
When any part of the fraction is negative, the whole thing is negative.
This is because a positive divided by a negative is a negative and vise versa.

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A group of 52 people attend a ball game there were three times as many children as adults in the group set up a system of equati

xxTIMURxx [149]

Answer:

Therefore there total of 39 children presented in group of people who attended a ball game.

Step-by-step explanation:

Given:

Total people present=52 .

And there are 3 times children as adults

To Find:

No.of Children Present in Group.

Solution:

<em>Consider 'x' be the children and 'y' be Adults presented in group.</em>

<em />

So there are total of 52 people.

Therefore Equation becomes,

x+y=52.

And also there are 3 times children presented in group as adults were.

Children=3 times adults

i.e.x=3y

Using in above Equation we get ,

x+y=52

3y+y=52

4y=52

y=52/4

y=13

Hence there are 13 adults presented in group

So ,

No.of Children=x=3y

=3(13)

=39

No.of.Children =39

4 0

3 years ago

Sara wants to purchase a CD player for $115.99. She earns 5.25 per hour babysitting. If h represents the number of hours she bab

Svetradugi [14.3K]

The answer should be if I am correct

h times 5.25

3 0

3 years ago

What is the graph of the function f(x) =x^2+3x+5/x+2

kirill [66]

Ok, this is what I got.

Hope this helps you. ;)

7 0

3 years ago

If a movie starts at 10:40am and lasts for 1h and 59min, then what time should the movie end.

OverLord2011 [107]

Answer:

12:39

Step-by-step explanation:

First, to make it easier, round the amount of time the movie lasts to the nearest hour. In this case, the movie "lasts" for 2 hours.

Add 2 hours to 10:40am. Note that when it hits 12, the am becomes pm.

10:40 + 2:00 = 12:40

Now, subtract 1 minute from the amount (1 hr 60 min - 1 hr 59 min = 1 min)

12:40 - 0:01 = 12:39

12:39 pm should be the time the movie ends.

7 0

3 years ago

Read 2 more answers

A 500-gallon tank initially contains 220 gallons of pure distilled water. Brine containing 5 pounds of salt per gallon flows int

Wittaler [7]

Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.

Step-by-step explanation:

Salt in the tank is modelled by the Principle of Mass Conservation, which states:

(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)

Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = \frac{d(V_{tank}(t) \cdot c(t))}{dt}$

By expanding the previous equation:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt} + \frac{dV_{tank}(t)}{dt} \cdot c(t)$

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

$V_{tank} = 220\\\frac{dV_{tank}(t)}{dt} = 0$

Since there is no accumulation within the tank, expression is simplified to this:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt}$

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:

$V_{tank} \cdot \frac{dc(t)}{dt} + f_{out} \cdot c(t) = c_0 \cdot f_{in}$ , where $c(0) = 0 \frac{pounds}{gallon}$ .

$\frac{dc(t)}{dt} + \frac{f_{out}}{V_{tank}} \cdot c(t) = \frac{c_0}{V_{tank}} \cdot f_{in}$

The solution of this equation is:

$c(t) = \frac{c_{0}}{f_{out}} \cdot ({1-e^{-\frac{f_{out}}{V_{tank}}\cdot t }})$

The salt concentration after 8 minutes is:

$c(8) = 0.166 \frac{pounds}{gallon}$

The instantaneous amount of salt in the tank is:

$m_{salt} = (0.166 \frac{pounds}{gallon}) \cdot (220 gallons)\\m_{salt} = 36.52 pounds$

3 0

3 years ago