MATHEMATICS
HIGH SCHOOL

Solve For x

z = 6 π x y

Answer:

On solving for the variable x, we get -

x = z / 6πy

What is Expression Rearrangement in Mathematics?Expression Rearrangement in mathematics is defined as the technique of rewriting the given expression in order to find the value of any specific variable or constant in terms of other variables present in the expression.

Given is the following equation -

z = 6 π x y

We have -

z = 6 π x y

We will rearrange the given equation to express x in terms of other variables and constants. Therefore -

z = 6 π x y

Divide both sides by 6πy, we get -

z / 6πy = 6πxy / 6πy

x = z / 6πy

Therefore, on solving for the variable x, we get -

x = z / 6πy

To solve more questions on expression rearrangement, visit the link below-

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Answer:

MIDDLE SCHOOL

5xb is less than 5 but greater than 0, what is the value for b?

Multiply the 5 and the b to give us 5b:

Divide by 5 through:

Simplify:

MIDDLE SCHOOL

Which statement is the clearest translation of 4 + 6z = 12. Four plus six, times a number, is twelve.

Four plus six times a number is twelve.

Four, plus six times a number, is twelve.

Four plus six times, a number is twelve.

they said this is math but it looks like ELA

Just read it out loud and replace 'z' with 'a number'.

Four plus six, multiplied by a number, is equal to twelve.

I believe A is the correct use of commas, because it needs to separate the statements so you know what is being multiplied to what, etc.

Four plus six, multiplied by a number, is equal to twelve.

I believe A is the correct use of commas, because it needs to separate the statements so you know what is being multiplied to what, etc.

MIDDLE SCHOOL

URGENT‼️‼️‼️‼️‼️ Is the open sentence 7x-5=2x+8 true when x=2? Justify your answer.

Answer:

No

Step-by-step explanation:

Substitute x = 2 into the equation and if both sides are equal then x = 2 is a solution.

left side = (7 × 2) - 5 = 14 - 5 = 9

right side = (2 × 2) + 8 = 4 + 8 = 12

left side ≠ right side

Hence x = 2 is not a solution of the equation

MIDDLE SCHOOL

nicholas challenges rajiv with these instructions for finding his house after basketball practice. get on the subway at 14th Street. The subway stops at 23rd, 28, 33rd, 42nd, 51st, 59th, 86th, and 96th streets. Get off at the first street you come to that is divisible by both 3 and 7. How can Rajiv solve this problem ? At which stop should he get off the subway ?

When a number is divisible, that means that why you divide that number by another, you will get a whole number. For example, 4 is divisible by 2 because 4 ÷ 2 = 2. The number 4 is not divisible by 3 because 4 ÷ 3 = 1 (which is not a whole number).

We'll start with 3 -

To find numbers that are divisible by 3, you can use the 3 Divisibility Rule. First, take the number you are given and add together all of the digits. Then, look at that sum and see if it can be evenly divided by 3. If it is, then that number is divisible by 3. For the numbers that you are given in the problem:

23 = 2 + 3 = 5 (not divisible by 3)

28 = 2 + 8 = 10 (not divisible by 3)

33 = 3 + 3 = 9 (9÷3 = 3, so 33 is divisible by 3)

42 = 4 + 2 = 6 (6÷3 = 2, so 42 is divisible by 3)

51 = 5 + 1 = 6 (6÷3 = 2, so 42 is divisible by 3)

59 = 5 + 9 = 14 (not divisible by 3)

86 = 8 + 6 = 14 (not divisible by 3)

96 = 9 + 6 = 15 (15÷3 = 5, so 96 is divisible by 3

Now let's look at numbers divisible by 7. There are rules for divisibility of 7, but they are more for 3-digit numbers. Since your numbers are small enough, we can use basic multiplication facts to check divisibility.

23 (7x3 = 21 and 7x4 =28, 23 is between these and is not divisible by 7)

28 (7x4 =28, so 28 is divisible by 7)

33 (7x4 = 28 and 7x5 = 35, 33 is between these and is not divisible by 7)

42 (7x6 = 42, so 42 is divisible by 7)

51 (7x7 = 49 and 7x8 = 56, 51 is between these and is not divisible by 7)

59 (7x8 = 56 and 7x9 = 63, 59 is between these and is not divisible by 7)

86 (7x12 = 84 and 7x13 = 91, 86 is between these and is not divisible by 7)

96 (7x13 = 91 and 7x14 = 98, 96 is between these and is not divisible by 7)

Now let's look at what we just figured out from the divisibility rules above.

Subway stops divisible by 3: 33, 42, 51, 96

Subway stops divisible by 7: 28, 42

The only number in common in those two lists is 42, so that is the stop that Rajiv should get off of the subway.

We'll start with 3 -

To find numbers that are divisible by 3, you can use the 3 Divisibility Rule. First, take the number you are given and add together all of the digits. Then, look at that sum and see if it can be evenly divided by 3. If it is, then that number is divisible by 3. For the numbers that you are given in the problem:

23 = 2 + 3 = 5 (not divisible by 3)

28 = 2 + 8 = 10 (not divisible by 3)

33 = 3 + 3 = 9 (9÷3 = 3, so 33 is divisible by 3)

42 = 4 + 2 = 6 (6÷3 = 2, so 42 is divisible by 3)

51 = 5 + 1 = 6 (6÷3 = 2, so 42 is divisible by 3)

59 = 5 + 9 = 14 (not divisible by 3)

86 = 8 + 6 = 14 (not divisible by 3)

96 = 9 + 6 = 15 (15÷3 = 5, so 96 is divisible by 3

Now let's look at numbers divisible by 7. There are rules for divisibility of 7, but they are more for 3-digit numbers. Since your numbers are small enough, we can use basic multiplication facts to check divisibility.

23 (7x3 = 21 and 7x4 =28, 23 is between these and is not divisible by 7)

28 (7x4 =28, so 28 is divisible by 7)

33 (7x4 = 28 and 7x5 = 35, 33 is between these and is not divisible by 7)

42 (7x6 = 42, so 42 is divisible by 7)

51 (7x7 = 49 and 7x8 = 56, 51 is between these and is not divisible by 7)

59 (7x8 = 56 and 7x9 = 63, 59 is between these and is not divisible by 7)

86 (7x12 = 84 and 7x13 = 91, 86 is between these and is not divisible by 7)

96 (7x13 = 91 and 7x14 = 98, 96 is between these and is not divisible by 7)

Now let's look at what we just figured out from the divisibility rules above.

Subway stops divisible by 3: 33, 42, 51, 96

Subway stops divisible by 7: 28, 42

The only number in common in those two lists is 42, so that is the stop that Rajiv should get off of the subway.

MIDDLE SCHOOL

Explain how you can find the y-intercept of a linear equation and how that is different from finding the y-intercept of a geometric equation

In the equation, substitute x with 0 and then solve for y since the y-intercept always has an associated x-value of 0. To determine the y-intercept on a graph, determine the value of y at x=0.

What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Because the line crosses the y-axis at (0,y), the value of y when x is 0 is referred to as the y-intercept. The collection of points in the coordinate plane that make up the graph of the linear equation is all the solutions to the problem.

The location where a particular graph crosses the y-axis is known as the y-intercept. Since y-axis points of the form (0, y), evaluating any function as a zero will reveal its y-intercept.

If the function is defined at 0, then evaluating it at zero will reveal its y-intercept: The point will be the y-intercept.

Thus, in the equation, substitute x with 0 and then solve for y since the y-intercept always has an associated x-value of 0. To determine the y-intercept on a graph, determine the value of y at x=0.

Learn more about the linear equation here:

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The y intercept is the point where a given graph crosses the y axis. Since points on the y axis come in the form (0, y), you can find the y-intercept of any function by evaluating it a zero.

Given a function

You can find its y-intercept (assuming that the function is defined at 0) by evaluating it at zero: the y intercept will be the point

MIDDLE SCHOOL

8k + 2m = 3m + k

Solve for k

Minus both sides by 2m

Minus both sides by k

Divided both sides by 7

Minus both sides by k

Divided both sides by 7

MIDDLE SCHOOL

The sum of 2/3 and twice a number is equal to 5/6 subtracted from three times a number

Answer:

3÷2

Step-by-step explanation:

First let the required no. be 'x'.

By question,

(2÷3)+2x=3x-(5÷6)

or,(2+6x)÷3=(18x-5)÷6

or,2+6x=(18x-5)÷2

or,4+12x=18-5

or,x=9÷6

Therefore, x=3÷2

HIGH SCHOOL

Mia's cat weighs 13 pounds, 7 ounces. about what is the weight in kilograms?

Answer:

The weight of the cat in kg will be 6.095 Kg

Step-by-step explanation:

Mia's cat weighs 13 pounds, 7 ounces.

We know that,

So,

Converting into pounds,

We also know that,

Converting into kg,

There are 0.453592 kilograms in 1 pound.

Multiply 13 by 0.453592 and get 5.8967

Now 0.0283495 kilograms in one ounce.

Multiply 7 by 0.0283495 and get 0.198447.

Now add them and get 6.095147

Multiply 13 by 0.453592 and get 5.8967

Now 0.0283495 kilograms in one ounce.

Multiply 7 by 0.0283495 and get 0.198447.

Now add them and get 6.095147

MIDDLE SCHOOL

Melissa and her mom are going on a trip if they travel 238 a day for 8 days how many miles will they travel all together

The answer is 1904 Melissa and her mom will travel for 1904 miles

The awnser is 1903, what you can do is 238•8 and you’ll get 1903