MATHEMATICS HIGH SCHOOL

2x - 3y = 1x = y + 2
solve the system using method of substitution and do a check to make sure PLEASE I BEG U

Answers

Answer 1
Answer:

Answer:

we have x = y +2

now we put that value in other eq.

2(y+2)-3y = 1

2y+4-3y = 1

2y-3y = 1-4

-y= -3 (cut the signs on both side)

y= 3

now we put y value in the other given equation

x = 3+2

x = 5

we have y as 3 and x as 5.

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Answer correct for brainliest and get a thanks ! :-)

Water fills a tank at a rate of 150 litres during the first hour, 350 litres during the second, 550 litres during the third and so on. Find the number of hours necessary to fill a rectangular tank 16m x 7m x 7m.

Answers

Putting this as an arithmetic sequence gives:

u_n = 150+200(n-1)

The sum of the series = 16 x 7 x 7 = 784 m^3 = 784 000 L

The sum of an arithmetic series can be written as:

S_n=n/2 [2a+(n-1)d] = 784 000\nn/2[2(150)+(n-1)200] = 784 000\nn[300+200(n-1)=1 568 000\n300n+200n^2-200n = 1 568 000\n200n^2+100n- 1 568 000 = 0\n2n^2 +n- 15680 = 0\nn= 88.2...,-88.7

n has to be positive, so we get

n = 88.2 hours (3 s.f.)
Volume of tank = (16m)(7m)(7m) = 784 m³

Conversion of m³ to L:
(784 m³) × (1000L / 1m³) = 784,000 L

Rate in the 1st hour:
150 liters/hr

Rate in the 2nd hour:
350 liters/hr

Rate in the 3rd hour:
550 liters/hr

It is apparent that the Fill Rate is increasing by 200 liters/hr every subsequent hour . . . so that can be represented by the following equation

where:
t = number of hours

Fill rate (i.e. volume of water filled into tank within the specified hour) = 150 + 200(t - 1)

For t = 1 . . . Fill rate = 150 L/hr
For t = 2 . . . Fill rate = 350 L/hr
For t = 3 . . . Fill rate = 550 L/hr

Because after every hour there has been more water added to the tank, this problem can be represented as a geometric sequence in order to account for the compounding of the volume after each time step, but it can also be tabulated (which seems to me to be the more direct/simple approach), so I will build a table that accounts for the increasing Fill Rate and the compounding of water volume after each time step . . .

(see attached)

The answer (after all of this) is . . .  t = 88 hrs 17 1/2 mins (approx)

Helpppp meee pleaseeeeewee

Answers

We can't see what you are talking about. send another one.

Find x and EF if BD is an angle bisector

Answers

The value of x will be;

⇒ x = 7/2

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

BD is an angle bisector.

Now,

In ΔBFG and ΔBFE;

∠G = ∠E = 90°

BF is common line.

∠GBF = ∠ FBE

Thus, ΔBFG ≅ ΔBFE

Hence, FG = FE

Substitute the values, we get;

⇒ FG = FE

⇒ 2x + 6 = 4x - 1

⇒ 6 + 1 = 4x - 2x

⇒ 7 = 2x

⇒ x = 7/2

Thus, The value of x will be;

⇒ x = 7/2

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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2x+6=4x-1
add 1 to both sides
2x+7=4x
subtract 2x from both sides
7=2x
divide both sides by 2
3.5=x

To find EF, plug in the x value
4x-1
4(3.5)-1
14-1
EF=13

A fruit seller bought 50 kg of fruits.He sold 30 kg of fruits for the cost price of 35 kg of fruits and he sold the remaining quality for the cost price of 16 kg of fruits. Calculate his profit or loss per cent in the total transaction.

Answers

Answer:

The fruit seller earn 2% profit.

Step-by-step explanation:
2 percent hope it helps

The area of a square piece of cardboard is 81 square inches. What is the length of the cardboard?A. 8 inches
B. 9 inches
C. 20.25 inches
D. 10 inches

Answers

Answer:

Step-by-step explanation:

The area of a square is found in the formula

A=s^2

We have the Area value so we will plug it in:

81=s^2

Take the square root of both sides to undo the square on the s to get that

s = 9

Which of the following best describes a consumer? someone who studies economics
a person who buys goods and services
a business owner who sells clothes
a farmer who sells his crops

Answers

Answer:  Second option is correct.

Step-by-step explanation:

Since we have ask that

Consumer refers to those person who used to consume things like purchase goods and services for personal use.

Someone who studies economics are known as economists they are not consumers, they are known for their study of economics.

A business owner who sells clothes can be known as traders or merchants or business man but they do not consider as consumers as they don't buy goods and services but they provide all of these.

A farmer who sells his crops are known as producers instead of consumers.

So, Second option is correct.

A person who buys good and services is known as consumer.
a person who buys goods and services. Think of it this way: To consume means to eat or use something. A consumer is someone who buys things to eat or use.
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