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1 year ago

54 divided by _____ = -27

Mathematics

1 answer:

Nikitich [7]1 year ago

6 0

54/-2 = -27

First, let's rewrite:

Let x represent the unknown number:

$\frac{54}{x}=\text{ -27}$

$\begin{gathered} \frac{54}{x}\text{ = -27} \\ 54\text{ = -27x} \\ \text{Divide both sides by -27} \\ \frac{54}{-27}=\text{ }\frac{-27x}{-27} \end{gathered}$ $\begin{gathered} 27\times2\text{ = 54} \\ x\text{ = -2 (because we are dividing positive number by a negative number)} \\ So\text{ our answer will be negative} \end{gathered}$

Hence, 54/-2 = -27

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Bryce is looking at a map of a theme park. The map is laid out in a coordinate system. Bryce is at (2, 3). The roller coaster is

Sunny_sXe [5.5K]

Answer:

Bryce is closer to the <u>roller coaster</u> as compared to the water ride.

Step-by-step explanation:

Given :

Bryce is at point (2,3)

Roller coaster is at point (7,8)

Water ride is at point (9,1)

To find whether Bryce is closer to roller coaster or the water ride.

Solution.

In order to determine the closeness of Bryce from either of the two rides, we will need to find the distance of Bryce from each of them. We can apply distance formula in order to do so.

By distance formula to find distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ .

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between Bryce (2,3) and roller coaster (7,8) can be given as:

$d_1=\sqrt{(7-2)^2+(8-3)^2}$

$d_1=\sqrt{(5)^2+(5)^2}$

$d_1=\sqrt{25+25}$

$d_1=\sqrt{50}$

$d_1=7.07$ units

Distance between Bryce (2,3) and water ride (9,1) can be given as:

$d_2=\sqrt{(9-2)^2+(1-3)^2}$

$d_2=\sqrt{(7)^2+(-2)^2}$

$d_2=\sqrt{49+4}$

$d_2=\sqrt{53}$

$d_2=7.28$ units

Thus, we can see that Bryce is closer to the roller coaster as compared to the water ride.

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3 years ago

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Step-by-step explanation:

is 45

is 90

hence

A+B+C=180

=45+45+90 =180

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3 years ago

28.5 g of iron shot is added to a graduated cylinder containing 45.50 mL of water. the water level rises to the 49.10 mL mark. F

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Density=mass/volume.
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2) we calculate the mass iron in kg.
28.5 g=28.5 g(1 kg /1000 g)=0.0285 kg.
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7.92 kg/l=7.92 kg/L(1000 g/1Kg)(1000 cm³/1 L)=7.92 g/cm³.

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4 years ago

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3 years ago

Read 2 more answers

A bacterial culture starts with 400 bacteria and grows at a rate proportional to its size. After 2 hours there will be 800 bacte

kotykmax [81]

Answer:

P(t) = 400×2^(t/2)
6400
5.0

Step-by-step explanation:

The wording "a rate proportional to its size" is an indication that growth (or decay) is exponential.

1) For many problems involving exponential growth, I like to use the numbers given in the problem statement as follows.

population = (initial population) × (growth factor)^(t/(growth period))

where the "growth period" is the period of time in which the population is multiplied by the "growth factor".

Here, we're given ...

(initial population) = 400

(growth factor) = 800/400 = 2

(growth period) = 2 . . . . hours

So, our population function can be written as ...

P(t) = 400×2^(t/2)

2) Putting t=8 into the formula, we get ...

P(8) = 400×2^(8/2) = 400×16 = 6400

After 8 hours, the population will be 6400.

3) Fill in the given number and solve for t.

2270 = 400×2^(t/2)

2270/400 = 2^(t/2)

Taking logs, we have ...

log(227/40) = (t/2)log(2)

t = 2×log(227/40)/log(2) ≈ 5.009

After 5.0 hours, the population will reach 2270.

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4 years ago