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nika2105 [10]
3 years ago
11

How many units of a 10% solution are needed to prepare 500 units of a 2% solution?

Mathematics
1 answer:
Akimi4 [234]3 years ago
8 0
First find how many units of solution there is:

500* 2% = 500(.02) = 10 units

You need 10 units of solution in 'x' units of a 10% solution.

x*10% = 0.1x = 10 units   ----->  x = 10/0.1 = 100

100 units are needed
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Fishermen fishing for spiny lobster are allowed to keep only lobsters with a carapace length of 3.25 inches or longer. (Than car
ser-zykov [4K]

Answer:

16%

Step-by-step explanation:

First we start by solving for the z score

We have the following information

x = 3.25

Standard deviation = sd = 2.25

Mean = 5.50

Z = (x - mean)/sd

z = 3.25 - 5.50/2 25

z = -1.00

If we look this up in the standard normal distribution table,

P(z<-1.00) = 0.1587

Which when approximated gives us

16%

Therefore approximately 16% of lobsters will have to be returned back to the sea.

4 0
3 years ago
Please answer this multiple choice question for 23 points and brainliest!!
luda_lava [24]

Answer:

  A.  T = 20°C - (2.8°C/h × 4h)

Step-by-step explanation:

The rate of change of temperature (-2.8°C/h) is multiplied by time (4h) to get the change in temperature (-11.2°C). That change is added to the initial temperature (20°C) to find the temperature after 4 hours.

Only equation A properly expresses this calculation.

In choice B, the rate of change is (wrongly) shown as +2.8°C/h. In the other choices, the combinations of units are nonsense. (What is a °C·h?)

5 0
2 years ago
Exponent Practice:<br> x^2/3=64
docker41 [41]
X^2/3 = 64
x^{2} =64^{3}
x = 64^{3/2}

it is easier to first find square root of 64 and than power it to 3
square root of 64 is 8 which means our equation now looks like:
x = 8^3
now the answer is after powering 8 to 3:
x = 512

6 0
3 years ago
How much water do you add...
Alecsey [184]

Answer: 36.67 grams of water is added.

Step-by-step explanation:

Let the amount of water is added be 'x'.

Amount of sugar = 5 g

We need to make 12% of sugar syrup.

x grams of water is added to 5 g of sugar, to 12% of sugar syrup.

so, it becomes,

\frac{5}{5+x}=\frac{12}{100}\\\\100\times 5=12(5+x)\\\\500=60+12x\\\\500-60=12x\\\\440=12x\\\\\frac{440}{12}=x\\\\36.67\ g=x

Hence, 36.67 grams of water is added.

7 0
3 years ago
A school district transported a total of 409 students and teachers to a zoo in buses and vans.
valina [46]

Answer: There are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

Step-by-step explanation:

Since we have given that

Total number of students and teachers = 409

Let the number of vans be x

Let the number of buses be x+5

Number of students and teachers each bus transported = 55

Number of students and teachers each van transported = 12

According to question,

55(x+5)+12x=409\\\\55x+275+12x=409\\\\67x=409-275\\\\67x=134\\\\x=\frac{134}{67}\\\\x=2

Total number of students and teachers who rode to the zoo in buses will be

55(x+5)\\\\=55(2+5)\\\\=55\times 7\\\\=385

Total number of students and teachers who rode to the zoo in vans will be

12x\\\\=12\times 2=24

Hence, there are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

6 0
3 years ago
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