X varies inversely with y and x = 8 when y = 10, what is the value of y when x=6

Answers

Answer 1

Answer: The right answer for the question that is being asked and shown above is that:

x = k (1/y)
k = xy

x1y1 = x2y2
8*10 = 6y2
80 = 6y2
y2 = 40/3

So the answer is 40/3
X varies inversely with y and x = 8 when y = 10, what is the value of y when x=6

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41,004 mL = _____ cm3

Answers

41,004 milliliters is 41,004 cubic centimeters

41,004 mL = 41,004 cm³
good homeworks

If you give me 70 coins I will have three times as much money as you, but if I give you 70 coins, then you will have five times as much as me. How many coins do we each have?

Answers

Answer:

I have 110 coins, you have 130 coins

Step-by-step explanation:

I have x coins and you have y coins.

According to question we set the following equations.

If you give me 70 coins I will have three times as much money as you:

x + 70 = 3(y - 70) ⇒ x + 70 = 3y - 210 ⇒ x = 3y - 280

If I give you 70 coins, then you will have five times as much as me:

y + 70 = 5(x - 70) ⇒ y + 70 = 5x - 350 ⇒ y = 5x - 420

Solve by substitution:

y = 5(3y - 280) - 420
y = 15y - 1400 - 420
15y - y = 1820
14y = 1820
y = 1820/14
y = 130

Find the value of x:

x = 3*130 - 280
x = 390 - 280
x = 110

Explain the answer for -10=m+-15

Answers

Add 15 to each side to combine the like terms (-10 and -15)
5=m
Rewrite
m=5

Baseball cards come on packages of 8 and 12. Brighton bought some of each type for a total of 72 baseball cards. How many of each package did he buy?

Answers

4 packs of twelve cards and 3 packs of eight .

3 packages of 8 and 4 packages of 12

12 x 4 = 48
8 x 3 = 24

48 + 24 = 72 Cards

Which of the expressions are equivalent to the one below? Check all that apply.12 (16 + 4)

A. (12 16) + 4

B. (16 + 4) 12

C. 12 * 16 + 12 4

D. 12 (4 + 16)

Answers

D and a because they both dont change the answer and b

2/7m-1/7=3/14 help this is so confusing

Answers

Solution for $(2)/(7)m - (1)/(7) = (3)/(14) \ is \ m = (5)/(4) \ or \ m = 1(1)/(4) \ or \ m = 1.25$

Further explanation

A case about one variable linear quations. We have to solve the equation to get the variable m. Let's isolate the variable m alone at the end of the process on one side of the equation, until the variable will be equal to a value on the opposite side.

We add $(1)/(7)$ to both sides:

$(2)/(7)m - (1)/(7) + (1)/(7) = (3)/(14) + (1)/(7)$

$(2)/(7)m = (3)/(14) + (1)/(7)$

On the right side for the addition operation, we equate the common denominator by multiplying $\ (1)/(7) \ by \ (2)/(2)$

$(2)/(7)m = (3)/(14) + (2)/(14)$

Then we combine terms to get:

$(2)/(7)m = (5)/(14)$

We divide by the coefficient of m, or in other words, multiply both sides by $(7)/(2)$ :

$(2)/(7)m * (7)/(2) = (5)/(14) * (7)/(2)$

Finally, the solution is obtained as follows

$m = (35)/(28)$

We simplify fractions, both the numerator and denominator are divided equally by 7.

$\boxed{ \ m = (5)/(4) \ }$

In the form of mixed fractions, we get:

$\boxed{ \ m = 1 (1)/(4) \ }$

In decimal form, we get

$m = 1 (25)/(100) \rightarrow \boxed{ \ m = 1.25 \ }$

Check the solution into the equation:

$\big( (2)/(7) * (5)/(4) \big) - (1)/(7) = (3)/(14)$

$(10)/(28) - (1)/(7) = (3)/(14)$

$(5)/(14) - (2)/(14) = (3)/(14)$

$(3)/(14) = (3)/(14)$

Both sides show the same value, so the solution is correct.

Quick steps in summary:

$(2)/(7)m - (1)/(7) = (3)/(14)$

$(2)/(7)m = (3)/(14) + (1)/(7)$

$(2)/(7)m = (3)/(14) + (2)/(14)$

$(2)/(7)m = (5)/(14)$

$m = (5)/(14) * (7)/(2)$

$m = (35)/(28)$

$\rightarrow \boxed{ \ m = (5)/(4) \ }$

$\rightarrow \boxed{ \ m = 1 (1)/(4) \ }$

$\rightarrow \boxed{ \ m = 1.25 \ }$

Note:

The important thing to do is how to manipulate both sides of the equation with the algebraic properties of equality such as:

adding,
subtracting,
multiplying, and/or
dividing both sides of the equation with the same number.

All these processes can occur repeatedly until the isolated variables are obtained on one side of the equation. In the form of fractions, the steps that must be considered are

equate the denominator,
simplify fractions, and
turn fractions into mixed fractions or decimal forms.

Let's practice a lot until you get used to and know which operations should be done first.

Learn more

A word problem that forms a single variable linear equation brainly.com/question/1566971
Learn more about single variable linear equation that has no solution, has one solution, and has infinitely many solutions brainly.com/question/2595790
Questioning the stages of solving a word problem about one variable linear equations brainly.com/question/2038876

Answer details

Grade : Middle School

Subject : Mathematics

Chapter : Linear Equation in One Variable

Keywords : solve, solution, variable, coefficient, 2/7m - 1/7 = 3/14, 5/4, 1 1/4, 1.125, algebraic properties of equality, one, linear equation, isolated, manipulate, operations, add, substract, multiply, divide, fraction, equate, denominator, numerator, both sides, decimal, brainly

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