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2 years ago

Question:

Mathematics

1 answer:

ExtremeBDS [4]2 years ago

6 0

Answer:

The number of red balls, in the beginning, is 47.

Step-by-step explanation:

According to the question,

Luke gains 2 blue balls, losing 3 red balls every day.
He seems to have similar amount of blue as well as red balls forward to 5 days.
He does indeed have twice quite so many red balls as blue balls forward to 9 days.

Should let the number of blue balls will be "x" in the beginning and indeed the number of red balls will be "y".

After five days,

⇒ $x + 10 = y - 15$ ...(equation 1)

After nine days,

⇒ $x + 18 = 2 ( y - 27 )$ ...(equation 2)

On applying subtraction between the above two equations, we get

⇒ $8 = y - 39$

⇒ $y = 47$

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Simplify the radical expression

LenKa [72]

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So for 5*sqrt(45b) * 6*sqrt(48b), we get 30*sqrt(45b*48b) = 30*sqrt(2160b^2). This value can be simplified further by taking out b^2 and 12^2 from the radical giving us the answer 360b*sqrt(15).</span>

3 0

2 years ago

Read 2 more answers

What is the common multiple of 2,960 6,400 and 2000 with full process

Mamont248 [21]

Answer:

1184000

Step-by-step explanation:

lcm(2960,6400,2000)

prime factor:

$2960=(2^4)(5)(37)\\6400=(2^8)(5^2)\\2000=(2^4)(5^3)$

Take the largest power of each factor:

$(2^8)(5^3)(37^1)\\=1184000$

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1 year ago

Bob is having a party and want to order some cake. there will be 57 guest and he wants to make sure that everyone gets a slice o

Dafna1 [17]

To find out which cake is better for the price, we need to multiply the cake amounts by how many cakes of that kind we need. You need 5 20cm cakes, so we multiply 5 by the price of the 20cm cake (13.50) to get $67.50. You need 3 25cm cakes, so 3 x 18.75 = 56.25.

20cm cake: $67.50
25cm cake: $56.25

Answer: The 25cm cake is cheaper for more people.

4 0

2 years ago

21. Randy owns a computer store. In 1990, he sold 150 monitors. In 2000, he sold 900

lutik1710 [3]

Answer:

$y=75x+150$

Step-by-step explanation:

Let $y$ represent the number of monitors sold.

Given:

$x$ is the number of years since 1990.

So, for the year 1990, $x=0$ .

For the year 2000, 10 years passed. So, $x=10$ .

Now, monitors sold in 1990 are 150. So, at $x=0,y=150$

Monitors sold in 2000 are 900. So, at $x=10,y=900$

Thus, the two points are $(0,150)$ and $(10,900)$ .

The slope of a line with points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given as:

Slope, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

For the points $(0,150)$ and $(10,900)$ , the slope is given as:

Slope, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\ m=\frac{900-150}{10-0}\\ m=75$

Now, the y-intercept is the point where $x=0$ . So, the point $(0,150)$ has $x$ value as 0.

So, the y-intercept is 150.

Equation of a line in slope-intercept form is given as:

$y=mx+b$

Where, $m$ is the slope and $b$ is the y intercept.

Here, $m=75$ and $b=150$ .

Therefore, the equation that represents the above data is given as:

$y=75x+150$

7 0

2 years ago

some species of bacteria can copy their DNA and divide every 40 minutes. If a COLONY of 100 of these such bacteria begins with a

VikaD [51]

Answer:

The answer is 51,200 bacterium.

Step-by-step explanation: So you need to figure out the time between 12 and 6pm, then divide it by 40. 12-6 is 360 minutes, you divide by 40 and you get 9 divisions. Multiply the 100 x 2=200, 200 x 2 =400, and so on for 9 times.

You get a result of 51,200 bacterium.

8 0

1 year ago