is this in standard form ? if it isn't then what would it be in standard form ?

Answers

Answer 1

Hello!

To answer your first question, no, that isn't in standard form.

For something to be in standard form, x can't be negative, both x and y need to be on the left side, and there can't be fractions.

Taking the three rules, let's make that equation have no fractions. In order to remove the fractions, you multiply everything by 3.

2/3x - 1/3y = 2
2x - y = 6

Let's go over the rules again to make sure:
X isn't negative - correct.
x and y is on the left side - correct
No fractions - correct.

Now that it passed all the rules, 2x - y = 6 would be your correct standard form equation.

Hope I helped (:

Related Questions

Mari and Jen each work 20 hours a week at different jobs. Mari earns twice as much as Jen. Together they can earn $480. How much does each girl earn in a week?

Answers

Hey there!

In word problems, remember that not every number they give you is important. For example, here, they tell you that they both work 20 hours a week. This information isn't important in creating an equation to represent the situation.

Let's say that x is the amount that Jen makes. Therefore, 2x will be the amount that Mari makes since she makes twice as much as Jen. Together, the amounts they make adds up to 480, meaning that the entire equation will be:

x + 2x = 480

All we need to do is solve this for x, plug x back into the equation, and solve.

1x + 2x = 480 (combine 1x and 2x)
3x = 480 (divide both sides by 3)
x = 160

Now, plug 160 in for x in the original equation to check and solve for how much Mari makes (she's represented by 2x).

160 (Jen) + 2(160) (Mari) = 480
160 (Jen) + 320 (Mari) = 480
480 (Jen + Mari) = 480

Jen makes $160 a week and Mari makes $320 a week.

Hope this helped you out! :-)

whats an irrational number between 9.7 and 9.9

Answers

9.5 < x < 9.7
square it
9.52<x2<9.72
90.25<x2<94.09
So pick any number between 90.25 and 94.09 to be x2, as long as it's not a perfect square. So if you pick 91, then
x2=91
x=91−−√→ irrational
approximation is 9.54

How to find slope of any given line segment?

Answers

Best Answer: I'll make one up and explain how to do it.

Lets say your two points are (2,6) and (-4,7)

To start with you need to use the point-slope formula which is y2-y1/x2-x1

Remember (x,y), Thus we have

7-6/-4-2 = 1/-6; So out slope is -1/6

Now lets use the following equation y = mx+b to solve for b which is the y-intercept. By substitution of either order pair we can solve for b

6 = 2(-1/6)+b; distribute the 2
6 = -2/6+b; add 2/6 to each side to isolate b
6+2/6 = b; put 6 over 1
6/1+2/6 = b; get a common denominator between 6/1 and 2/6 which is 6
6(6/1)+2/6 = b ; distribute
36/6+2/6 = b; add these up
38/6 = b; reduce to lowest terms by dividing by 2 to each
19/3 = b

So our final equation is y = -1/6x+19/3

Which figures can be precisely defined by using only undefined terms? Check all that apply. angle arc circle line segment parallel lines

Answers

Angle, parallel lines figures which can be precisely defined by using only undefined terms angles and parallel lines.

Answer:

circle, line segment, and parallel lines

Step-by-step explanation:

A circle is the set of all points a given distance from a fixed point called a center. This only uses the undefined term "point."

A line segment is a portion of a line with two distinct endpoints. This uses the undefined terms "line" and "point."

Parallel lines are lines that never intersect. This uses the undefined term "line."

An angle is two rays joined at a common point called the vertex. While this does use the undefined term "point," it also uses the defined term "ray." This is not one of our options.

An arc is a portion of the circumference of a circle. This uses the term "circle," so it is not one of our options.

A company added a new oil thank that holds 350 barrels of oil than its old oil tank.together they hold 3650 barrels of oil.how much does each thank hold?

Answers

Let's assume, Capacity of old oil tank = x Capacity of New oil tank = x + 350 barrels From the problem, x + x + 350 = 3650 2x = 3300 x = 1650 barrels Answer: Capacity of old oil tank = 1650 barrels Capacity of New oil tank = 2000 barrels

The required solution of the given question is Capacity of old oil tank and Capacity of New oil tank is 1650 and 2000 barrels respectively.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

A company added a new oil thank that holds 350 barrels of oil than its old oil tank . Together they hold 3650 barrels of oil.

According to given question we have

Let the Capacity of old oil tank = x barrels

Let the Capacity of New oil tank = x + 350 barrels

So,

x + x + 350 = 3650

2x = 3300

x = 1650 barrels

∴Capacity of old oil tank = 1650 barrels

Capacity of New oil tank

= x + 350

=1650 +350

=2000 barrels

Therefore, the required solution of the given question is Capacity of old oil tank and Capacity of New oil tank is 1650 and 2000 barrels respectively.

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Evaluate the expression. Must rewrite the expression without the exponent before evaluating (-12)^2

Answers

(-12)^2 = -12 * -12 = 144

Answer:

(-12)^2 = -12 * -12 = 144

On Monday, a local hamburger shop sold a combined total of 504 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?

Answers

168 hamburgers were sold on Monday.

Find an equivalent mixed number for the decimal number 16.3

Answers

Answer:16 3/10

Step-by-step explanation:

what statement best describes inductive reasoning vs deductive reasoning

Answers

Inductive reasoning works from the root and extends outwards. That is, it starts from the conclusion, then makes premises out of this conclusion. This is opposite to deductive reasoning. The process works from the outside down to the root cause. So, you lay out all the premises first, then deduce the conclusion.

from the top of a vertical tower 248 m high , a stone is projected vertically downwards with a speed of 8 ms . After x seconds another stone is projected vertically upwards from the level of the base of the tower with a speed 25 ms . Given that two stones are at same height moving in the same direction 6 seconds after projection of the first stone , calculate :
1) value of x
2) the velocity of the second stone at this instant

Answers

Final answer:

The value of x, which is the time delay between the two stones' projections, is 1.4 seconds. The velocity of the second stone 6 seconds after the first stone's projection (so 1.4 seconds after its own projection) is 11.32 m/s.

Explanation:

This question involves physics concepts, particularly with motion under gravity, velocity, and displacement. We need to use these principles of Physics to solve the problem.

First, let's calculate the displacement of the first stone 6 seconds after it is thrown. Since the stone is thrown downwards, its final displacement (S1) is given by the equation of motion:

S1 = ut + 0.5gt2, where u is initial velocity (8 m/s), g is acceleration due to gravity (9.8 m/s2), and t is the time (6 seconds).

Therefore, S1 = 8*6 + (1/2)*9.8*6*6 = 48 + 176.4 = 224.4 m.

The first stone is thrown from a tower of height 248 m, so its displacement from the base of the tower is

248 - S1 = 248 - 224.4 = 23.6 m.

The second stone is thrown upwards from the base of the tower, Therefore, after t=x seconds, it travels upward by S2 = ut - 0.5gt2 (=25x - 0.5*9.8*x2).

At t=6 seconds, it must be at a the same height as the first stone (23.6 m). So we set 25x - 0.5*9.8*x2 = 23.6, and solve this quadratic equation to find x = 1.4 seconds.

The second part of the question asks for the velocity of the second stone at this instant. The velocity of an object thrown upward-moving object is given by

v = u - gt, here u = initial velocity = 25 m/s, g = 9.8 m/s2 and t=x=1.4 seconds. Plugging in these values, we find that v = 25 - 9.8*1.4 = 11.32 m/s.

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lisa runs 3.6 km on monday 4.2 km on wednsday and 5.7 km on saturday.what is the average distance she ran each day during the week

Answers

Add the three numbers up and divide them by 3 to get the average. That would be 3.6+4.2+5.7=13.5 Divide that by 3 and you get 4.5.

XY=7a,YZ=5a,XZ=6a+24

Answers

7a + 5a = 6a + 24
6a = 24
a = 4
XZ = 6(4) + 24
XZ = 48

what is the counterexample "the difference of two numbers less than the greater number"

Answers

-4 - (-2) = - 2 is one counterexample

The counterexample of the statement "the difference of two numbers is greater than the greater number if the smaller number is greater than twice the additive inverse of the greater number"

How to determine the counterexample?

The statement is given as: "the difference of two numbers less than the greater number"

Let the numbers be x and y, where x > y.

So, the interpretation of the statement is:

x - y < x

Add x to both sides

-y < 2x

Rewrite as:

y > -2x

This means that the statement is true only when the smaller number is greater than twice the additive inverse of the greater number

Hence, the counterexample of the statement "the difference of two numbers is greater than the greater number if the smaller number is greater than twice the additive inverse of the greater number"

Answers

5 - 3= 2 x 2

4 miles

True or false? if the sample mean of a random sample from an x distribution is relatively small, then the confidence interval for Î¼ will be relatively short

Answers

false is the answer that's right

.3333... = 1/3. What is .23232323... = as a fraction?

Answers

when .23232323.... is converted into a fraction it would be 23/99.

Answer:121

Step-by-step explanation:

Find the slope and Y intercept for 6x - 2y=12

Answers

Convert into point slope form

6x-2y=12
-2y=-6x+12
y= 3x-6

Final answer: slope= 3, y intercept= -6

If K is between J and L then JK + KL = JL

Answers

By setting up an equation based on the fact that K is between J and L, we found that x = 6. Substituting this value back into the expression for KL, we determined that KL = 8.

To find the value of x and KL, we'll first set up an equation using the fact that K is between J and L, which means JL = JK + KL. Substituting the given expressions:

5x - 10 = 2x + (x + 2)

Now, solve for x:

[tex]\[5x - 10 = 2x + x + 2\][/tex]

[tex]\[5x - 10 = 3x + 2\][/tex]

[tex]\[5x - 3x = 2 + 10\][/tex]

[tex]\[2x = 12\][/tex]

[tex]\[x = 6\][/tex]

Now that we have found the value of [tex]$x$[/tex], we can find [tex]$KL$[/tex] by substituting $x = 6$ into the expression for KL:

[tex]\[KL = x + 2 = 6 + 2 = 8\][/tex]

So, x = 6 and KL = 8.

The question probable maybe:

Find the value of x and KL if K is between J and L. JK=2x, KL=x+2, and JL=5x-10.

What is the general process for solving an equation with one variable

Answers

Thanks for the question!

First, make sure all the variable are on one side and all the numbers are on the other. Then, combine like terms. If necessary, isolate the variable.

Hope this helps!

The general process is by grouping like term I. E the unknown to the left hand side while value to the right hand side

What is the sum of the first 10000 numbers?

Answers

sum = 10000(10000-1)/2

sum = 10000(100001)/2

sum = 100010000/2

sum = 50,005,000

(10000+1) * (10000/2) = 50,005,000

compare the values of each 3 in the number 633,248

Answers

633,248.
The difference of each 3 is that they have different place values.
The 3 on the right side is int he 1000s (thousands) place, and the 3 on the left is in the 10,000s (ten thousands) place. :)

The one in the 10,000s place is 10 times larger than the one in the 1,000s place!

The second 3 is in the Ten thousand place which is 10 times larger than the first 3 which is in the Thousand place.

Here,

The number is 633,248.

We have to compare the values of each 3 in the number 633,248.

What is Place value?

The value represented by a digit in a number on the basis of its position in the number is called the place value.

Now,

The number is 633,248.

From right the first 3 has place in Thousand place.

So, place value of this 3 is thousands place.

And, From right the second 3 has place in Ten thousands place.

The difference of each 3 is that they have different place values.

Therefore, The second 3 is in the Ten thousand place which is 10 times larger than the first 3 which is in the Thousand place.

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To add a value 1 to variable x, you write ________.

Answers

1+x you can not add them because they are not like terms

The correct expression after adding a value 1 to variable x is 1 + x.

Used the concept of expression that states,

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

Given that,

Add a value of 1 to variable x.

Here, the number is 1 and the variable is x.

Hence add the number 1 and x is written as,

1 + x

So, the expression is, 1 + x

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In the diagram below bd is parallel to xy what is the value of x

Answers

It’s 83

Step-by-step explanation:

The lateral surface area of the wrapper for an ice cream cone is 47.1 cm squared.If the lateral height of the ice cream cone is 6cm,what would be the radius of the ice cream cone?

Answers

To determine the radius of the cone, we make use of the lateral surface area of the cone. The lateral surface of an object is the area of all the sides of a certain object. For a cone, it is the product of pi, the radius and the slant height (lateral height). We calculate as follows:
Lateral Surface Area = πrh
47.1 = πr(6)
r = 2.5 cm

f(x)=(x)^2 is vertically stretched by a factor of 4 and translated 4 units left to create g(x)

Answers

[tex]\bf \qquad \qquad \qquad \qquad \textit{function transformations} \\ \quad \\\\ % left side templates \begin{array}{llll} f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ y=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}} \end{array}\\\\ --------------------\\\\[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]

[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{{{ B}}}[/tex]

[tex]\bf \stackrel{\textit{vertically stretched by a factor of 4}}{A=\frac{1}{4}}\qquad \stackrel{\textit{translated 4 units left}}{C=+4} \\\\\\ f(x)=x^2\implies f(x)=1(1x+0)^2+0\implies f(x)=\stackrel{A}{\frac{1}{4}}(1x\stackrel{C}{+4})^2+0 \\\\\\ f(x)=\frac{1}{4}(x+4)^2[/tex]

The sum of 3 consecutive integers is 270. what is the second number in the sequence

Answers

Alright, so if the first number is x, the second number is y, and the third number is z, we have x+y+z=270. Next, since we know that x=y-1 since it is less than y by one and z=y+1, we have y-1+y+y+1=y+y+y=3y=270. Dividing both sides by 3, we get y=90

g = 4ca - 3ba for a plzzzzz help me answer

Answers

G = 4ca - 3ba.....factor out a on the right
G = a(4c - 3b)...now divide both sides by (4c - 3b)
G / (4c - 3b) = a <==

The value of afrom the expression [tex]G = 4ca - 3ba[/tex] is [tex]\boxed{a = \frac{G}{{\left( {4c - 3b} \right)}}}.[/tex]

Further explanation:

PEDMAS rule is use to solve the grouping of multiplication, addition, subtraction and division.

P denotes the parenthesis, E denotes the exponents, M denotes the multiplication, D denotes the division, A denotes the addition and S denotes the subtraction.

Given:

The expression is [tex]G = 4ca - 3ba.[/tex]

Explanation:

The associative property is defined as a grouping of multiplication, addition, subtraction and division.

The given expression is [tex]G = 4ca - 3ba.[/tex]

The factors of [tex]4ca[/tex] can be expressed as follows,

[tex]\begin{aligned}A&= 4ca\\&= 4 \times c \times a\\\end{aligned}[/tex]

The factors of [tex]3ba[/tex] can be expressed as follows,

[tex]\begin{aligned}B &= 3ba\\&= 3 \times b \times a\\\end{aligned}[/tex]

The common factor between [tex]4ca[/tex] and [tex]3ba[/tex] is [tex]a[/tex].

The value of a can be obtained as follows,

[tex]\begin{aligned}G&= a\left( {4c - 3b} \right)\\\frac{G}{{\left( {4c - 3b} \right)}} &= a\\\end{aligned}[/tex]

The value of [tex]a[/tex] from the expression [tex]G = 4ca - 3ba[/tex] is [tex]\boxed{a = \frac{G}{{\left( {4c - 3b} \right)}}}.[/tex]

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system

Keywords: place value, base value, decimal expansion, whole number, natural number, division, multiplication, solve the equation, solution, linear equation.

An airplane descend 1.5 miles to an elevation of 5.25 miles. Find the elevation of the plane before its descent.

Answers

Just add them together

Question 35
The paint company says that we need to buy one gallon of paint for each 350 square feet of walls that we want to paint. How many gallons of paint do we need to buy?

1

2

3

4

Answers

1....Please make more sense

Help please ASAP!!!!!!!

Show your steps in evaluating each of the following expressions. The steps count 4 points each, the answer is 1 point.
A. 15 - 35 / 7 -2 + 3 -4
B. 10 + 2(9 - 5) - 16 / 18

Answers

15-35/7-2+3-4
15-(35/7)-2+3-4
15-5-2+3-4
15+3-5-2-4
18-11
7

10+2 (9-5)-16/18
10+2 (4)-8/9
10+8-8/9
18-8/9
162/9-8/9
154/9 or 17 1/9

Evaluated solution of the expressions as (A) 7 and (B) 17.11.

What are Arithmetic operations?

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

⇒ 15 - 35/7 - 2 + 3 - 4

⇒ 15 - (35/7) -2 + 3 - 4

Apply the division operation,

⇒ 15 - 5 - 2 + 3 - 4

Rearrange the terms in the above equation

⇒ 15 + 3 - 5 - 2 - 4

⇒ 18 - 11

Apply the subtraction operation,

⇒ 7

⇒ 10 + 2 (9-5) - 16/18

⇒ 10 + 2(4) - 8/9

⇒ 10+8 - 8/9

Apply the addition operation,

⇒ 18 - 8/9

⇒ 162/9-8/9

Take the LCM,

⇒ 154/9

Apply the division operation,

⇒ 17.11

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