20 point

a 400 g of a liquid of density 1.6g/cm3 is made from mixing liquids of density 1.2g/cm3 and 1.8g/cm3 find the mass of the liquid

gogolik [260]

Answer:

133.33g

Step-by-step explanation:

Let the:

Mass of 1.2g/cm³ of liquid = x

Mass of 1.8g/cm³ of liquid = y

From our Question above, our system of equations is given as:

x + y = 400........ Equation 1

x = 400 - y

1.2 × x + 1.8 × y = 1.6 × 400

1.2x + 1.8y = 640..... Equation 2

We substitute, 400 - y for x in Equation 2

1.2(400 - y) + 1.8y = 640

480 - 1.2y + 1.8y = 640

- 1.2y + 1.8y = 640 - 480

0.6y = 160

y = 160/0.6y

y = 266.67 g

Solving for x

x = 400 - y

x = 400 - 266.67g

x = 133.33g

Therefore, the mass of the liquid of density 1.2g/cm³ is 133.33g

7 0

3 years ago

Which correctly describes how the graph of the inequality 5x + 2y = 13 is shaded?

exis [7]

Answer:

The answer is above the solid line.

Step-by-step explanation:

6 0

3 years ago

Which of the following are geometric sequences? Check all that apply.

kolezko [41]

Answers:

Step-by-step explanation:

There are two general types of sequences that follow a pattern, geometric and arithmetic. Let's see the difference between the two:

An arithmetic sequence is produced by adding the same number to all the terms in the sequence.

EXAMPLE:

5, 7, 9, 11, 13, 15, 17 (The number 2 is added to all terms)

To figure out if a sequence is arithmetic, subtract the first term from the second, then the second from the third and so on until you have checked all the terms.

7 - 5 = 2

9 - 7 = 2

11 - 9 = 2

13 - 11 = 2

15 - 13 = 2

17 - 15 = 2

All results equal 2, so the sequence is arithmetic

From your list: The following sequences are arithmetic

A. 5, 10, 15, 20, 25 (common difference of 5)

The next type of sequence is the geometric sequence.

A geometric sequence is produced when the all the terms in the sequence are multiplied or divided by the same number.

EXAMPLE:

100, 50, 25 (Each term is divided by 2)

To figure this out, we divide each term in the sequence by the next term.

100 / 50 = 2

50 / 25 = 2

All results are two, so this sequence can be confirmed to be geometric

From your list: The following sequences are geometric

C. 10, 5, 2.5, 1.25, 0.625, 0.3125 (common quotient of 2)

D. -9, -3, -1, -1/3, -1/9, -1/27 (common quotient of -3)

There is one final type of sequence, which has no common difference, sum, quotient, or product.

EXAMPLE:

5, 6, 8, 9, 11, 12, 14, 15

This sequence has a pattern, the differences between the numbers are not common.

6 - 5 = 1

8 - 6 = 2

9 - 8 = 1

11 - 9 = 2

12 - 11 = 1

14 - 12 = 2

15 - 14 = 1

From your list: The following sequences are neither geometric nor arithmetic

B. 1, 1, 2, 3, 5, 8, 13 (No pattern)

I'n always happy to help :)

6 0

4 years ago

3. In his collection, Marco has 5 large gold coins, 12 large silver coins, 15 small gold coins, and 3 small silver coins. If he

Stella [2.4K]

5/6

Since it is given that it is small, only worry about the small coins.

There are 18 total small coins and 15 of them are gold so 15/18 is the probability or when simplified = 5/6

8 0

3 years ago

Can anyone tell me correctly

BaLLatris [955]

$\large\underline\red{\sf \implies Solution :- }$

1) A figure formed by line segments only is called a polygon  .

2) Perimeter of a regular polygon is Number of sides × Measure of each side .

3) Perimeter of a irregular polygon is sum of all sides .

4) Two circles with same centre but different radii is called Concentric circles.

5) Ratio of circumference of circle to its diameter is pie  and is named by Greek letter π .

6) Distance around the circle is called circumference.

7) A chord of the circle contains exactly two points on a circle.

8) 1 hectare = 10,000 m²

<h3>I hope it helped ツ</h3>

4 0

3 years ago