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Elina [12.6K]
4 years ago
7

Which rational number could be graphed between -3 and -4

Mathematics
2 answers:
Burka [1]4 years ago
7 0

Answer:-3.75

Step-by-step explanation:

Snezhnost [94]4 years ago
3 0

Answer:

-3.5

Step-by-step explanation:

An example is -3.5.

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The drama club is having a car wash as a fundraiser. They wash x cars at $5 each
Galina-37 [17]

<u>Answer:</u>

x + y ≥ 26 + 15

5x + 8y ≥ 250 (see below)

Step-by-step explanation:

First, write an equation to represent the total cost to wash cars:

$5x = cost for cars

Then, write another for trucks:

$8y = cost for trucks

If the question is saying that they will wash at least 26 cars and 15 trucks, that means they could wash more. This means that we'll need an inequality:

This inequality represents that the total number of cars and trucks they wash will be at least—which means that it is equal to or greater than—than the amount given:

x + y ≥ 26 + 15

Any equation or inequality with two unknowns is not solvable, meaning we need a system of equations:

If they make at least $250, that means that we need to combine the costs of the cars and trucks to make an inequality:

5x + 8y ≥ 250

Now you have your system of equations:

x + y ≥ 26 + 15

5x + 8y ≥ 250

8 0
3 years ago
After all your hard work studying for Algorithms you, Alice and Bob end up stuck in a room full of deadly zombies! Luckily you h
shutvik [7]

Answer:

The most important quantity to consider in order to answer this question is the arrival time of the zombies from their initial position, which is the quotient between their distance to the visitors, divided the zombie's speed.

See explanation below.

Step-by-step explanation:

Part 1)

What is crucial to know is what is the time at which each zombie would reach Alice and Bob, and that is given by the quotient between the distance away each zombie is, divided by the zombie's speed:

speed=\frac{distance}{time} \\time=\frac{distance}{seed} \\t_i=\frac{d_i}{s_i}

Then, it is this quotient for each zombie, that one has to estimate given the input values distance and speed, and it is the output "time" (t_i) for each zombie, what we need to analyze so as to prioritize an order regarding which zombie to kill first.

Part 2)

Shooting the closest zombie first is not a good idea, since the speed of that closest zombie may be much slower than another zombie further away, but with much larger speed. Again, the important value to analyze is the time that it would take each zombie to reach Alice and Bob.

Part 3)

Shooting the fastest zombie first is not a good idea either, because that fastest zombie could be located very far away from the visitors, and other zombies closer by may reach them first.

Part 4)

The order that should be used to kill the zombies is given by the value of the time to reach Bob and Alice based on the quotient distance (di) over speed (si) explained in Part 1). The zombie that shows smallest time should be shot first, and then the others in increasing order of time value.

Part 5)

Notice that the individual zombie information is not presented in the question, but the student should be able to calculate the quotients for each zombie, and considering that there could be at most one shot every second, estimate the number of seconds that the time for each zombie in increasing order would allow until the addition of shooting time per second in the appropriate order cannot match the arrival time of the zombies that are left.

One should count number of seconds from the first shot (to the zombie with shortest arrival time), and then increase in one unit (one shot per second), to the following zombie with slightly larger arrival time), and so on, until the addition of seconds (one second per shot and per increasing arrival time of zombie) exceeds the next zombie arrival time.

7 0
3 years ago
Find all real numbers s such that -2(s - 7) &gt; 4s + 8. Give your answer as an interval.
aev [14]
   If    -2 (s - 7) > 4s + 8
then  -2s + 14 > 4s + 8
           14 - 8 > 4s + 2s
                  6 > 6s
         
∴ <span>all real numbers s such that -2(s - 7) > 4s + 8  are   s < 1</span>
7 0
4 years ago
I need help please :)
Mice21 [21]

Answer:

Um sorry if its wrong but I think its that it gets bigger as you go on.

Step-by-step explanation:

8 0
3 years ago
Three fourths of a gasoline storage tank is emptied by filling each of five trucks with the same amount of fuel what part of the
Reil [10]

Answer:

Each vehicle received \frac{3}{20} of the total capacity of the storage tank

Step-by-step explanation:

we know that

To find out what part of the total capacity of the storage tank that each vehicle received, divide three fourths by five

so

\frac{(3/4)}{5}=\frac{3}{20}

therefore

Each vehicle received \frac{3}{20} of the total capacity of the storage tank

3 0
3 years ago
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