Which property was applied to create this equivalent expression? 7x+(5+6×)--->(7x+5)+6x

Answer: [tex] y=-2x+\dfrac{7}{6}[/tex]

Step-by-step explanation:

The slope -intercept form of a line is given by :-

[tex]y=mx+c[/tex]

The given equation of a line :[tex]y-\dfrac{2}{3}=-2(x-\dfrac{1}{4})[/tex]

To convert it into slope-intercept form , we need to multiply -2 inside the brackets , we get

[tex]y-\dfrac{2}{3}=-2x-\dfrac{-2}{4})\\\\\Rightarrow y-\dfrac{2}{3}=-2x+\dfrac{1}{2}\\\\\Rightarrow y=-2x+\dfrac{1}{2}+\dfrac{2}{3}\\\\\Rightarrow\ y=-2x+\dfrac{7}{6}[/tex]

Hence, the  equation in slope-intercept form : [tex] y=-2x+\dfrac{7}{6}[/tex]

Final answer:

Lou starts with a roll of fabric that's 9 yards long which equals 27 feet (9 yd x 3 ft/1 yd). After cutting 3 yards (9 feet) and then 4 feet, he's left with 14 feet of fabric.

Explanation:

The question involves calculating the remaining length of fabric in feet after Lou makes two cuts from a roll. Since one yard is equivalent to 3 feet, we'll first convert the roll's total length from yards to feet. Starting with a 9-yard roll, we convert it to feet (9 yd x 3 ft/1 yd = 27 ft). After cutting 3 yards (which equals 9 feet) and then another 4 feet, we subtract these from the total length.

Here's the step-by-step calculation:

Convert initial length to feet: 9 yd x 3 ft/1 yd = 27 ft.

Subtract the first cut in feet: 27 ft - 3 yd (9 ft) = 18 ft remaining.

Subtract the second cut: 18 ft - 4 ft = 14 feet remaining.

Therefore, there are 14 feet of fabric left on the roll.

By dividing V into both sides.

Almost usually, simplifying the problem is the initial step in solving an algebraic equation. To simplify an equation is to reduce it to its most basic form in order to make it simpler to comprehend and solve. It necessitates an easy-to-follow, step-by-step approach that is frequently straightforward. The following are some typical techniques for reducing the complexity of algebraic equations:

combining similar words

Expansion of equations with the Distributive Property by factoring

Factorizing

Division or amplification of words.

Given an equation PV = 300R which is used in chemistry for calculating pressure and volume. in problem asked to solve for P so for solving for P we have to divide the formula with V.

PV = 300R

divide by V into both sides.

P = 300 R/V.

Learn more about simplification here:

https://brainly.com/question/23509407

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Final answer:

When comparing 0.06 and 60%, we need to convert the percentage to a decimal (0.60) to make a direct comparison. 0.60 is greater than 0.06.

Explanation:

To compare 0.06 and 60%, first, we should express both numbers in the same format. The number 0.06 is already in decimal form, so let's convert 60% into a decimal. To do this, we divide 60 by 100, which equals 0.60. Now we can see that 0.60 is greater than 0.06.

The required number that is three million times larger than 2.3 x 10⁴= is  6.9 x 10¹⁰. Option D is correct.

Given that,
To determine which number is three million times larger than 2.3 x 10.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The number is three million times larger than 2.3 x 10⁴
= 3 * 10⁶ * 2.3 * 10⁴
= 6.9 * 10¹⁰

Thus, the required number that is three million times larger than 2.3 x 10⁴= is  6.9 x 10¹⁰. Option D is correct.

Learn more about arithmetic here:

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Answer:

$18

Step-by-step explanation:

Let the money he had at the start be $x

Store A = 1/3 of $x = $ x/3

Remaining = $ x/1 - $x/3 = $ 2x/3

He spends remaining $12. So,

2x/3 = 12

2x = 36

x= $18(Answer)

Answer:

f  =  1.8

K  = − 459.67

I just gave the answer for K for fun. Not sure if this is correct though :)

Final answer:

To round 96.39 to the tenths place, we increase the tenths digit by one because the hundredths digit is 9, which is greater than 5. The rounded number is 96.4.

Explanation:

To round 96.39 to the tenths place, we look at the digit in the hundredths place (which is 9 in this case). According to the standard rules for rounding numbers, if the first dropped digit is 5 or higher, we round up the last digit that is kept. Since 9 is higher than 5, we will round up. The number 96.39 rounded to the tenths place is 96.4.

your answer would be all numbers

let me show you:

step 1) 6 more than 4 is 10

step 2) two times the sum of one-half the number plus three is 2*(2+3)

step 3) 2+3 is 5,and 5*2 is 10

step 4) compare the answers from steps 1 and 3,they are both 10

so your answer is ALL numbers

Seth can calculate his weekly lunch expenses with the formula t = 5 x (p + $0.25), where p is the old price and t is the new weekly total.

The question involves creating a formula that Seth can use to determine how much he will spend on lunch every week after an increase in the price.

Let's define the following variables: p for the old price of school lunch and t for the total Seth pays for lunch each week.

If the school decided to raise the price of lunches by $0.25 and Seth buys the school lunch 5 days a week, the new price of each lunch will be p + $0.25.

Therefore, to calculate the total Seth will pay per week, we use the formula: t = 5 x (p + $0.25).

This formula accounts for the new price Seth will pay for lunch each day, multiplied by the 5 days he purchases lunch at school.

From the word itself distribution, the distributive property of equality states that a number must be distributed to all the numbers inside the parenthesis. From the given choices, the only correct answer is:

C. −3 ⋅ (6.48)=(−3⋅6) + (−3⋅0.4) + (−3⋅0.08) ​