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2 years ago

Solve 2x +7y = 4 for y

Mathematics

1 answer:

Lapatulllka [165]2 years ago

7 0

Answer:

y = 4/7 - 2/7x

Step-by-step explanation:

Hope it's correct :D

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How come lemon washing up liquid contains real lemons, but lemon juice contains artificial flavorings.

attashe74 [19]

Answer:

Lemon juice is acidic and therefore is deemed unsafe to consume this can start to destroy the pancreas and other major arteries if not removed quickly

Step-by-step explanation:

3 0

2 years ago

The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a

liubo4ka [24]

Answer:

$(x,y,z)=(1477, 1464, 1437)$

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
Mr.A earns Rs6000

So, the equation would be

$3x + 5y - 4z = 6000$

Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
Mr B neither lose nor gain meaning he has made 0₹

hence,

$2x - 3y + z = 0$

Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
Mr.C earns 13000₹

therefore,

$- x + 4y + 6z = 13000$

Thus our system of equations is

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\end{cases}\\\begin{cases}2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

Now solve the equation accordingly:

$\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}$

Solving the equation for x and y yields:

$\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}$

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

$\implies z= \dfrac{217000}{151}$

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0

2 years ago

Chris bought 12.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closetsto the number

Damm [24]

Answer:

C 47.12 L

Step-by-step explanation:

1 gallon = 3.8 liters

12.4 gallons = x

Cross Multiply

= 12.4 × 3.8

47.12 liters

Option C is correct

5 0

2 years ago

1+(-2-5)^2+(14-17)×4 please answer

hjlf

When you simplify the expression you get 38. Hope this helps.

Answer = 38.

6 0

2 years ago

You have a right circular cone of height 1530 mm and volume 2.2 x 104 in3 . Calculate the base diameter of the cone.

Alja [10]

Answer:

37.35 in

Step-by-step explanation:

The volume of a cone is given by the formula ...

V = (π/3)r²h

where r is the radius of the base and h is the height. We want to find the diameter of the base, so we can rewrite this in terms of diameter and solve for d. Please note that the height is given in millimeters, not inches, so a conversion is necessary.

V = (π/3)(d/2)²h

12V/(πh) = d²

d = 2√(3V/(πh)) = 2√(3(2.2×10^4 in^3)/(π·1530 mm/(25.4 mm/in))

= 2√(1.6764×10^6/(π·1.53×10^3) in^2)

d ≈ 37.35 in

The base diameter of the cone is about 37.35 inches.

4 0

2 years ago