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3 years ago

The first equation of the system is multiplied by 2. By what number would you multiply the second

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

8 0

Answer:

we will have to multiply the second equation by 3 to eliminate the y variable by adding.

Step-by-step explanation:

Given the equations

4x – 3y = 6 → (1)

6x + 2y = 10 → (2)

As the first equation is multiplied by 2,

2(4x – 3y) = (2)6

8x - 6y = 12 → (3)

As we have to eliminate y,

so multiply the second equation by 3,

6x + 2y = 10

3(6x + 2y) = 3(10)

18x + 6y = 30 → (4)

So now adding the new equations (3) and (4) will eliminate the y variable by adding

8x - 6y = 12

18x + 6y = 30

--------------------

26x + 0y = 42

26x = 42

x = 42/26

x = 21/13

Therefore, we will have to multiply the second equation by 3 to eliminate the y variable by adding.

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DiKsa [7]

It will take 0.556 seconds for an echo to reach one's ears

<h3>Calculating the time to hear an echo</h3>

From the question, we are to determine how long it would take an echo to reach one's ears

From the formula,

$Speed = \frac{2 \times distance \ travelled\ by \ sound}{Time}$

NOTE: To hear an echo, the sound will travel to and fro, hence, it will cover twice the distance

From the given information,

Distance = 92.0 m

NOTE: Speed of sound in air at 0 °C ≅ 331 m/s

Putting the parameters into the formula, we get

$331 = \frac{2 \times 92.0}{Time}$

$Time = \frac{2 \times 92.0}{331}$

Time = 0.556 secs

Hence, it will take 0.556 seconds for an echo to reach one's ears.

Learn more on Calculating the time to hear an echo here: brainly.com/question/16676723

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2 years ago

A tap is filling a 10-liters tank at the speed of 5 liters per minute.

SVETLANKA909090 [29]

Answer:

It takes 2.5 minutes to fill the tank.

Explanation:

The net speed or net rate for filling the 10-liters tank is equal to the speed the tap is filling less the speed the water is leaking through the hole located at the bottom of the tank:

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Net rate = 5 liters/minute - 1 liter/minute

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3 years ago

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3 years ago

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Rus_ich [418]

Answer:

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General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (6, 5)

Point (5, 3)

Step 2: Find slope m

Substitute [SF]: $m=\frac{3-5}{5-6}$
Subtract: $m=\frac{-2}{-1}$
Divide: $m=2$

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3 years ago

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3 years ago