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alekssr [168]
3 years ago
12

65 points Of the 30 girls who tried out for the basketball team at SMS, 12 were

Mathematics
1 answer:
natulia [17]3 years ago
8 0

Answer:

the ratio is the same

Step-by-step explanation:

Girls

12 out of 30

12/30

Divide top and bottom by 6

2/5

Boys

16 out of 40

16/40

Divide top and bottom by 8

2/5

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Sabiendo que cada persona unos 4 500 000 glóbulos rojos por milímetro cúbico y que su cantidad de sangre es de 5 litros A) Que l
love history [14]

Answer:

Part A) distance covered by the aligned red cells is: 180000 Km

Part B) 8000000 bacteria (8 million bacteria)

Step-by-step explanation:

Part A)

Let's first find the total number of red cells that the person has in the 5 liters, knowing that there are 4,500,000 of them in a cubic millimetre:

Since 1 liter contains 1,000,000 cubic millimetres, then, in 5 liters there must be 5 times that number of cubic millimetres. That is a total of 5,000,000 cubic millimetres.

Since in each cubic millimetre there are 4,500,000 red cells, then the number of red cells in the 5 liters must be the product of these two quantities:

4,500,000 x 5,000,000 = 22,500,000,000,000 red blood cells.

Now, to find the distance they will cover aligned one after the other, knowing that their average diameter is 0.008 mm is:

22,500,000,000,000 x 0.008 mm= 180000000000 mm

22.5\,\,10^{12} * 8\,\,10^{-3}=1.8\,\,10^{11} mm

In order to convert this distance into Km as requested, we use the fact that 1 mm = 0.000001 Km, or using exponents in base ten:

1 mm = 10^{-6}\,\,Km

Then, the distance covered in kilometers is:

1.8\,\,10^{11}\,*\,10^{-6} \,\,Km=1.8\,\,10^{5}\,\,Km=180000\,\,Km

Part B)

The vaccine contains a total of  10^8  bacteria per cm^3

In order to find how many bacteria we have in 80 mm^3 of the vaccine, we first need to convert 80 mm^3  into cm^3:  

80\,\, mm^3 = 0.08 \,\,cm^3

Then, if in one cm^3 there is 10^8  bacteria, in 0.08\,\,cm^3 there would be: 0.08\,*\,10^8 bacteria. That is: 8\,\,10^6 bacteria = 8000000 bacteria (eight million bacteria)

8 0
3 years ago
What is the value of x in the equation –x = 2 – 3x + 6?
Aneli [31]

Answer:

x=4

Step-by-step explanation:

Let's solve your equation step-by-step.

−x=2−3x+6

Step 1: Simplify both sides of the equation.

−x=2−3x+6

−x=2+−3x+6

−x=(−3x)+(2+6)(Combine Like Terms)

−x=−3x+8

−x=−3x+8

Step 2: Add 3x to both sides.

−x+3x=−3x+8+3x

2x=8

Step 3: Divide both sides by 2.

2x/2 = 8/2

x=4    

6 0
3 years ago
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Bumek [7]

pls give me thank on my Question

5 0
3 years ago
Celesta wants to go on a cruise in three years. She could earn 8.2 percent compounded monthly in an account if she were to depos
Nezavi [6.7K]

Given:

Amount after three years = $10000

Rate of interest = 8.2 percent compounded monthly = 0.082

Time = 3 years

To find:

The principal value.

Solution:

Formula for amount is

A=P\left(1+\dfrac{r}{n}\right)^{nt}

where, P is principal, r is rate of interest, n is the number of times interest compounded in an year, t is number of years.

Substitute A=10000, r=0.082, n=12 and t=3 in the above formula.

10000=P\left(1+\dfrac{0.082}{12}\right)^{12(3)}

10000=P\left(1+\dfrac{41}{6000}\right)^{36}

10000=P\left(\dfrac{6041}{6000}\right)^{36}

10000=P(1.27783)

Divide both sides by 1.27783.

\dfrac{10000}{1.27783}=P

7825.76712=P

P\approx 7825.767

Therefore, today she have to deposit $7825.767.

5 0
3 years ago
If two data points are 10 and 20, what data point would make 30 the mean?​
Elena L [17]

Answer:

60

Step-by-step explanation:

The mean of a set of numbers is calculated by adding them all together and then dividing the sum by the amount of values in the data set. In this scenario, we know the mean is 30, and there are 3 numbers in the data set, 10, 20, and an unknown number (x).

Let's set up an equation with the information we have.

30 = (10 + 20 + x) / 3

Now we can multiply both sides by 3 ==>

90 = 10 + 20 + x

Combine like terms ==>

90 = 30 + x

Subtract 30 from each side ==>

60 = x

And now you have your answer!

The value of x = 60 would make the mean of the data set 30.

7 0
2 years ago
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