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Bezzdna [24]
3 years ago
9

The ratio of red marbles to blue marbles is 3:5. If there are 360 marbles total in the collection, how many of each color are th

ere?
Mathematics
2 answers:
kari74 [83]3 years ago
8 0

Answer:

135 red and 225 blue

Step-by-step explanation:

Ber [7]3 years ago
3 0
What they said
Skjsoakakakao
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Solve the following equation and explain each step used in solving the equation
Brut [27]
<span>Multiply all terms by (x-3)(x-1) would be your first step.</span><span> </span><span>
</span><span>
</span>This gives you:
3(x - 1) = (x - 3) + 7
3x - 3 = x + 4

-x on both sides:
2x - 3 = 4

Add 3 to both sides:
2x = 7

Divide both sides by 2:
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6 0
3 years ago
Scenario: Two people in a major city with a population of 450,000 get infected with a rapidly spreading virus. If each day the i
zmey [24]

1) See attachment.

2) See attachment

3) y=2^{x+1}

4) 17.8 days

Step-by-step explanation:

1)

The table is in attachment.

In this problem, we are told that the initial number of people infected ad day zero is two, so the first row is (0,2).

Then, we are told that each day, an infected person infects 2 additional people. Therefore, at day 1, the number of infected people will be 2*2=4.

Then, each of the 4 persons infect 2 additional persons, so the number of infected people at day 2 will be 4*2=8.

Continuing the sequence, the following days the number of infected people will be:

8*2 = 16

16*2 = 32

32*2 = 64

2)

The graph representing the situation is shown in attachment.

On the x-axis, we have represented the day, from zero to 5.

On the y-axis, we have represented the number of infected people.

We see that the points on the graph are:

0, 2

1, 4

2, 8

3, 16

4, 32

5, 64

3)

Here we have to create a mathematics model (so, an equation) representing this scenario.

First of all, we notice that the number of infected people at day 0 is 2:

p(0)=2

To write an equation, we call x the number of the day; this means that at x = 0, the value of y (number of infected people) is 2:

y=2

Then, at day 1 (x=1), the number of infected people is doubled:

y(1)=2y(0)=2\cdot 2 = 4

And so on. This means that for each increase of x of 1 unit, the value of y doubles: so, we can represents the model as

y=2\cdot 2^x

Or

y=2^{x+1}

4)

Here we are told that the entire city has a population of

p = 450,000

people.

In order for the virus to infect the whole population, it means that the value of y must be equal to the total population:

y = 450,000

Substituting into the equation of the model, this means that

450,000 = 2^{x+1}

And solving for x, we find the number of days after which this will happen:

log_2(450,000)=x+1\\x=log_2(450,000)-1=17.8 d

So, after 17.8 days.

8 0
2 years ago
Hello please help i’ll give brainliest
bonufazy [111]

Answer:

C i think

Step-by-step explanation:

Once an action is caused, a reaction immediatley happens

5 0
3 years ago
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In a talent show of singing and comedy acts, singing acts are 5 min long and comedy acts are 3 min long. The show has 12 acts an
sineoko [7]

Answer:

c=5


Step-by-step explanation:

5s + 3c = 50

s+c=12

5(12-c) + 3c=50

60-5c+3c=50

60-2c=50

-2c=-10

c=5

4 0
3 years ago
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A matrix with 5 columns and 6 rows added to another matrix with 5 columns and 6
photoshop1234 [79]

Answer:

C 10 columns and 12 rows

Step-by-step explanation:

c = columns

r = rows

5c + 5c = 10c

6r + 6r = 12r

10 columns and 12 rows

The answer is C

3 0
2 years ago
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