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Answer:

Step-by-step explanation:

The first step in solving an equation is to look at it. Identify where the variable is that you're interested in, and see what operations are being performed on that variable.

Here, the variable w has 1 added to it, and the sum is multiplied by -4. The variable is only on the left side of the equation, and is inside parentheses. Inside parentheses, the coefficient of the variable is 1.

These observations tell you that, in some order, you will need to undo the operations of multiplication and addition, and you will have to eliminate parentheses.

You also observe that the multiplication factor of the parentheses (-4) is a factor of the constant on the right side of the equation (-24). This means you have a couple of options for solving this equation:

The second method is actually faster. We'll illustrate that one first.

__

Divide both sides of the equation by -4 to undo the multiplication by -4.

  -4(w +1)/(-4) = -24/(-4) . . . . . we have indicated the division we want to do

  w +1 = 6 . . . . . . . . . . . . . . . . here is the result of that division

Now, we can add the opposite of +1 to eliminate the constant from the left side. As with all operations on equations, we must do the same thing to both sides. This means we add -1 to both sides of the equation:

  w +1 -1 = 6 -1 . . . . . . we have indicated the addition we want to do

  w = 5 . . . . . . . . . . .  here is the result of that addition

The solution of the equation is ...

  w = 5

__

Often, when parentheses are involved, the numbers are such that the solution method is not as simple as what we just did. In those cases, you would take the approach of eliminating parentheses first. For this equation, it looks like this:

  -4(w +1) = -24 . . . . . . . given

  -4w -4 = -24 . . . . . . . . use the distributive property to eliminate parentheses

We want the variable term by itself, so we need to eliminate the constant -4 that is added on the left. To do that, we add its opposite. This means we add +4 to both sides of the equation.

  -4w -4 +4 = -24 +4 . . . . . . indicating the addition of +4

  -4w = -20 . . . . . . . . . . . . . the result of adding +4

Here, w is multiplied by -4. We want w by itself, so we want to undo that multiplication. That means we want to divide both sides of the equation by -4.

  -4w/(-4) = -20/(-4) . . . . . . indicate the division

  w = 5 . . . . . . . . . . . . . . . . the result of doing the division

The solution of the equation is ...

  w = 5

_____

Our basic approach is to undo the operations done to the variable, in the reverse of the order in which they are done. In that process, we observe the rules of equality: whatever operation you do to one side of the equation must also be done to the other side. (My teacher called this last rule: "keep the equal sign sacred.")

You can always use the distributive property for factoring, collecting terms, or eliminating parentheses.

Answer:

[tex]\huge \boxed{\mathrm{A}}[/tex]

Step-by-step explanation:

The domain of a function is all possible values for the value of x.

The denominator in a rational function cannot equal to 0.

[tex]x+2\neq 0[/tex]

Subtracting 2 from both sides.

[tex]x\neq -2[/tex]

The domain of the function is all real numbers except -2.

Answer:

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In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.

Next, you solve the equation by finding x. Just don't mind the inequality symbol:

2/9 x + 3 > 4 5/9

2/9x > 4 5/9 - 3

2/9x > 14/9

x > 14/9 ÷ 2/9

x > 7

Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.

Hoped I helped

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Answer:

Step-by-step explanation:

Hey there!!!

In this problem, to know actually the store that has the better buy we need to solve for the cost of 1 foot of sandwich from individual stores.

Stores A

if 5 foot cost   $42.50

1 foot will cost x

cross multiplying

x= x=  $42.50/5

x= $8.5

Stores B

if 6 foot cost   $49.50

1 foot will cost x

cross multiplying

x= x=   $49.50/6

x= $8.24

From our analysis stores B has the better buy

Step-by-step explanation:

Hey, there!

You just need is formula for slope (m) ok.

given that the points are A(9,3)) and B (-2,4).

Using formula for slope,

[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{4 - 3}{ - 2 - 9} [/tex]

[tex]or ,\: m = \frac{1}{ - 11} [/tex]

Therefore, the slope of the points A(9,3) and B (-2,4) is (-1/11).

Hope it helps...

Answer:

there are 0 significant digits

Step-by-step explanation:

0.0005 has 1 significant digit which is 5

25.725 has 5 significant digits

Answer:

work shown and pictured

Answer:

Nina's rate in MPH:  12.706 miles per hour

Nina is faster than Sophia.

Step-by-step explanation:

For this problem, we will convert feet per second into miles per hour, and then compare Nina's rate to Sophia's rate.

We are given Nina rides at 63360 feet in 3400 seconds.  To convert this to miles per hour, we need to know that there are 5280 feet in 1 mile, and 3600 seconds in 1 hour.  Now that we now these conversions, let's find the rate in miles per hour.

(63360 feet / 3400 seconds) * (1 mile / 5280 feet) * (3600 seconds / 1 hour) = 12.706 miles per hour.

So we know that Nina rides her bike at 12.706 miles per hour and are given that Sophia rides her bike in 10 miles in 1 hour.

With this, we can say Nina rides faster than Sophia by 2.706 miles per hour (12.706 - 10).

Cheers.

Answer:

100/7.5

Step-by-step explanation:

It takes 13.3 s to reach 100 meter.

The formula for the time it takes to travel a distance of d at an average speed is t = d / v

t = 100 / 7.5

t = 13.33

To calculate time, divide the distance by using pace. To get the gap, multiply pace by time. you could see those equations simplified as s = d / t, wherein s is speed, d is distance, and t is time.

Learn more about time here: https://brainly.com/question/25605883

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Answer:

a = 4

Step-by-step explanation:

a + 2 = 6

Subtract 2 from both sides

a + 2 - 2 =  6 - 2

           a = 4

Answer:

4

Step-by-step explanation:

6 - 2 = 4

Responda:

270, 00

Explicação passo a passo:

Dado o seguinte:

Pagamento diário até as 18h00

Pagamento por hora trabalhada = 5,00

Em um determinado mês:

Trabalhou 25 dias: (25 * 20) = 500,00

20 horas à noite: (20 * 5) = 100,00

Ganho total = 500 + 100 = 600,00

Despesas:

Transporte = 1/10

= (1/10) × 600 = 60,00

Quantidade restante = (600 - 60) = 540,00

Renda:

1/2 de 540 = 270,00

Valor total restante após a dedução das despesas:

600 - (270 + 60)

600 - 330 = 270,00

Answer: B

Step-by-step explanation: The answer would be B because both the 8x and 22x are both negative so once you add those two together you would get -30x so that cancels out A and C. SO now you move onto 23 and 9 well both of those are positive so you would add those together and get 32 so that cancels out D and only answer left is B

The equation that represents -8x + 23 – 22x + 9 = 182 after combining the like terms is b. -30x + 32 = 182 , where x = -5.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

The given equation is,

-8x + 23 – 22x + 9 = 182

Taking alike terms together we get,

-8x – 22x + 23 + 9 = 182

Solving we get,

– 30x + 32 = 182

Subtracting 32 both the side we get,

– 30x + 32 - 32 = 182 - 32

Solving we get,

– 30x = 150

⇒ x = -5

Thus, The equation that represents -8x + 23 – 22x + 9 = 182 after combining the like terms is b. -30x + 32 = 182 where, x = -5.

To learn more about equations:

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Answer:

the answer should be no solution.

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 80cm

The length is 4 inches longer than twice the width is written as

l = 4 + 2w

Substitute this into the formula and solve for the width

That's

80 = 2( 4 + 2w) + 2w

80 = 8 + 4w + 2w

6w = 80 - 8

6w = 72

Divide both sides by 6

w = 12 cm

Substitute w = 12 cm into l = 4 + 2w

That's

l = 4 + 2(12)

l = 4 + 24

l = 28cm

Therefore

length = 28 cm

width = 12 cm

Hope this helps you

Answer:

0 < 8p < 8

is this what you're looking for?

Answer:

808

Step-by-step explanation:

First find the volume of the original cylinder. It is given by πr²h:

π * (10.5)² * 63 ≈ 21820.717 cm³

Next find the volume of each cube. It is given by lwh:

3 * 3 * 3 = 27 cm³

Finally, divide the volume of the original cylinder by the volume of each cube to determine the number of cubes:

21820.717 / 27 ≈ 808.1747

Partial cubes are not possible, so the answer is 808.

each problem will need to be devoted 3 minutes

Answer:

3 minutes

Step-by-step explanation:

3 minutes because 4x3=12 and there's 12 minutes to finish

Answer:

It isn't factorable.

Step-by-step explanation:

Step 1: Write out expression

-625x⁴ + 1674

From here, the expression is already simplified/factored into it's final form. There is no way to reduce this.

Answer:

82/9

Step-by-step explanation:

To find the improper fraction

Multiply the denominator by the whole number

9*9 = 81

Add the numerator

81+1 = 82

Put it over the denominator

82/9

Answer:

82/9

Step-by-step explanation:

Multiply the whole number part by the fraction's denominator:

9 1/9

9 x 9 = 81

Add the product to the numerator:

81 + 1 = 82

Then write the result on top of the denominator:

82/9

So the answer is 82/9

Answer:

The distance is [tex]sqrt{10000+484t^2}[/tex]

Step-by-step explanation:

Given that,

Altitude = 100 feet

Average speed = 15 miles/ hour

We need to calculate the speed in feet/sec

Using formula for speed

[tex]v=15 miles/hour[/tex]

[tex]v=15\times 1.46667\ ft/sec[/tex]

[tex]v=22\ ft/sec[/tex]

We need to calculate the distance in t sec

Using formula of speed

[tex]v =\dfrac{d}{t}[/tex]

Put the value into the formula

[tex]22=\dfrac{d}{t}[/tex]

[tex]d=22t[/tex]

According to figure,

We need to calculate the distance

Using pythagorean theorem

[tex]AC=\sqrt{(AB)^2+(BC)^2}[/tex]

Put the value into the formula

[tex]d=\sqrt{100^2+(22t)^2[/tex]

[tex]d=\sqrt{10000+484t^2}[/tex]

Hence, The distance is [tex]sqrt{10000+484t^2}[/tex]

Answer:

The answer is below

Step-by-step explanation:

Let us assume that the age of Greg's brother (Gabe) is x years, and let Greg's age by y years. Since Greg is 10 years older than his brother gabe, then:

y = x + 10           (1)

Also. Greg is 3 times as old as Gabe, hence:

y = 3x                 (2)

From equation 1 and equation 2:

y = x + 10 = 3x

Hence:

3x = x + 10

Subtracting x from both sides gives:

3x - x = x + 10 - x

2x = 10

Dividing by 2:

2x/2 = 10/2

x = 5 years

y = x + 10 = 5 + 10 = 15 years

Therefore Gabe is 5 years old and Greg is 15 years old

Answer:

1/2, 1/3, 1/4, 1/5, 1/6

Step-by-step explanation:

Hope it helps.

Don't forget to click the Brainliest button if you like my answer.

Answer:

[tex]c = 3a - 2[/tex]

Answer:

54 degrees

Step-by-step explanation:

Answer:

[tex]\huge \boxed{\mathrm{C}}[/tex]

Step-by-step explanation:

The domain is the set of all possible values for x.

The function does not cross the line x = 1.

The domain is all real numbers except  1.

The range is the set of all possible values for y.

The function does not cross the line y = 0.

The range is all real numbers except 0.

Answer:

Explained below.

Step-by-step explanation:

Assuming that the question is related to exponents.

Consider the expression: [tex]a^{b}[/tex]

Here,

a = base

b = exponent

Consider that the value of base is a negative term.

Then an even exponent will give a positive result.

And an odd exponent will give a negative result.

Consider the following values of b and suppose that a = -x.

For b = 4,

[tex]a^{b}=(-x)^{4}=(-x)\times (-x)\times (-x)\times (-x)=x[/tex]

For b = 3,

[tex]a^{b}=(-x)^{3}=(-x)\times (-x)\times (-x) = -x[/tex]

Answer:

Sample Response: When evaluating a power with a negative base, the solution is positive or negative depending on whether the exponent is odd or even. If odd, the value will be negative. If even, the value will be positive.

Step-by-step explanation:

Step-by-step explanation:

The line above the letter means "complement". If X is a set, the the complement of X (denoted by X with a line above it) is the set of all things not in X...If X is a set, then the complement of X (denoted by X with a line above it) is the set of all things not in X.

Sorry if it was complicated

Answer: y=(-1/2)x-6.5

Step-by-step explanation:

y=2x-6

the perpendicular to this will have the opposite reciprocal slope.

The new equation will be

y=(-1/2)x-b

--------------------------

To find the y-intercept of the equation, we should substitute the point into the equation (5,4)

y=(-1/2)x-b

4=(-1/2)×5-b

4=-2.5-b

b=-6.5

------------------------------

so the equation will be y=(-1/2)x-6.5

Answer:

-7

Step-by-step explanation:

Hello!

This equation is in slope intercept form. The base equation is

y - mx +b

m is the slope

b is the y-intercept

Since -7 is in place of m -7 is the slope

The answer is -7

Hope this helps!

Answer:

-7x

Step-by-step explanation:

The formula for slope is y=mx+b, m being slope. And in the equation y=-7x+2, -7 is taking the place of m. Therefore, -7x is the answer.