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3 years ago

9

fiona is heating water for a science experiment.the temperature of the water increases 4/5 of a degree every 2/5 of a minute.how

much is the temperature of the water increasing per minute

1 answer:

Scilla [17]3 years ago

3 0

Answer:

4/5:2/5 = ratio of degrees to time

2/5*2.5 = 1 min

4/5*2.5 = 10/5 = 2

2 degrees every min

Step-by-step explanation:

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Balu had a collection of coins. 1/2 of the coins are from asian countries, 1/3 of them from european countries, 36 are from amer

Georgia [21]

The total number of coins Balu had in his collection was <u>216 coins</u>, computed using the linear equation in one variable, <u>x = x/2 + x/3 + 36</u>.

Asian coins were 1/2 a fraction of this, that is, (1/2)*216 = <u>108 coins</u>.

We assume the total coins with Balu to be x.

The fraction of coins from Asian countries = 1/2.

Thus, the number of coins from the Asian countries = 1/2 of x = x/2.

The fraction of coins from European countries = 1/3.

Thus, the number of coins from the European countries = 1/3 of x = x/3.

The number of coins from America = 36.

Thus, the total number of coins = x/2 + x/3 + 36.

But, we assumed that the total number of coins is x.

Thus, we get a linear equation in one variable as follows:

x = x/2 + x/3 + 36.

We solve this equation as follows:

x = x/2 + x/3 + 36,

or, x - x/2 - x/3 = 36,

or, (6x - 3x - 2x)/6 = 36,

or, x/6 = 36,

or, x = 36*6 = 216.

Thus, the total number of coins Balu had in his collection was <u>216 coins</u>, computed using the linear equation in one variable, <u>x = x/2 + x/3 + 36</u>.

Asian coins were 1/2 a fraction of this, that is, (1/2)*216 = <u>108 coins</u>.

Learn more about fractions at

brainly.com/question/2929160

#SPJ4

3 0

2 years ago

6. There are six professors teaching the introductory dis- crete mathematics class at a university. The same final exam is given

podryga [215]

Complete question is;

There are six professors teaching the introductory discrete mathematics class at a university. The same final exam is given by all six professors. If the lowest possible score on the final is 0 and the highest possible score is 100.

How many students must there be to guarantee that there are two students with the same professor who earned the same final examination score?

Answer:

607 students

Step-by-step explanation:

To solve this question means we have to use Pigenhole principle which states that if y number of items are put into z number of containers, with y > z, then it means that that at least one container must definitely contain more than one item.

Now, let's find the number of boxes and objects:

If possible scores are from 0 to 100 with both inclusive it means number of possible scores = 101.

Now, If there was only one professor grading the students, in order to ensure that that there are two students with the same professor who earned the same final examination score,

The number of students would have to be = 101 + 1 = 102 students

Meanwhile, for each student, since there are 6 professors, the possible combination for a score will be = 6 possible combinations.

Therefore, number of students that will guarantee that there are two students with the same professor who earned the same final examination score must be a minimum of: (6 × 101) + 1 = 607

3 0

3 years ago

Need to find the value of y

alexgriva [62]

Answer:

√55

Step-by-step explanation:

Notice that the small triangle in the bottom corner shares an angle with the overall triangle. Also, they are both right triangles. Therefore, they are similar triangles.

Notice that the large triangle at the top shares an angle with the overall triangle and is also a right triangle. Therefore it is also similar to the overall triangle and the smaller triangle.

Writing a proportion between the small and large triangles:

y / 11 = 5 / y

y² = 55

y = √55

3 0

3 years ago

If the nth term of a number sequence is n2-5, find the first 3 terms and the 10th term

xz_007 [3.2K]

9514 1404 393

Answer:

-4, -1, 4
95

Step-by-step explanation:

Use n = {1, 2, 3, 10}.

n^2 -5 = {1, 2, 3, 10}^2 -5 = {1, 4, 9, 100} -5 = {-4, -1, 4, 95}

The first three terms are -4, -1, 4.

The 10th term is 95.

7 0

3 years ago

The Mississippi River flows at a rate of 2 miles per hour. If Eduardo floats

madam [21]

Answer:

11 1/3 miles

Step-by-step explanation:

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3 years ago