The sum of a number and two equal to negative seven. Translate this sentence to an equation and then find the number

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:

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: 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:

https://brainly.com/question/12720088

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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:

-1/4

Step-by-step explanation:

take two points (0, -2) & (-4, -1)

use the slope formula

(y₂ - y₁) / (x₂ - x₁)

(-1 + 2) / (-4 - 0) = 1/-4

y = -1/4x + b

slope is -1/4

Answer:

Input value: 3

Step-by-step explanation:

If I'm understanding the question correctly it would look like this.

[tex]10 = 3x + 1[/tex]

Next: Subtract one

[tex]9 = 3x[/tex]

Divide by three to get x.

[tex]x = 3[/tex]

Step-by-step explanation:

[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]

In this we have give the value of x = 10

[tex]f(x) = 3x + 1[/tex]

[tex]f(10) = 3(10) + 1[/tex]

[tex]f(10) = 30 + 1[/tex]

[tex]f(10) = 31[/tex]

so the value of x is 31

hope it helps

Answer: 37.70 inches

Step-by-step explanation:

Forumla for circumference: C = 2πr

C = 2π(6)

C = 12π

C= 37.6991118431

C = 37.70 (rounded)

Answer:

$70.125

Step-by-step explanation:

First multiply $425*5.5/100*3 and you get:

$70.125

Answer:

x = 6 or x = -2

Step-by-step explanation:

Solve for x:

2 x^2 - 8 x - 24 = 0

The left hand side factors into a product with three terms:

2 (x - 6) (x + 2) = 0

Divide both sides by 2:

(x - 6) (x + 2) = 0

Split into two equations:

x - 6 = 0 or x + 2 = 0

Add 6 to both sides:

x = 6 or x + 2 = 0

Subtract 2 from both sides:

Answer: x = 6 or x = -2

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

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:

10.5

Step-by-step explanation:

[tex]2(x + 4) = 50 [/tex]

[tex]4x + 8 = 50 [/tex]

[tex]4x = 50 - 8[/tex]

[tex]4x = 42[/tex]

[tex]x = 42 \div 4[/tex]

[tex]x = 10.5[/tex]

Answer:

Simplifying

2(x + 4) = 50

Reorder the terms:

2(4 + x) = 50

(4 * 2 + x * 2) = 50

(8 + 2x) = 50

Solving

8 + 2x = 50

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 2x = 50 + -8

Combine like terms: 8 + -8 = 0

0 + 2x = 50 + -8

2x = 50 + -8

Combine like terms: 50 + -8 = 42

2x = 42

Divide each side by '2'.

x = 21

Simplifying

x = 21

This took a long time to type and i think it is wrong but hope this helps. hint, hint.

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:

Answer: 25

The problem is saying that f of x is equal to 13, which means you insert 13 for every x in the equation:

[tex]f(13) = 2(13) - 1[/tex]

Multiply 2 by 13 to get 26:

[tex]f(13) = 26 - 1[/tex]

Subtract 1 from 26 to get 25:

[tex]f(13) = 25[/tex]

I hope this helps. Let me know if you have any questions!

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:

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:

The correct answer choices are:

1) It is a real number

2) It is an irrational number

Step-by-step explanation:

So we have the number:

[tex]\sqrt2[/tex]

First, let's define each of the terms:

Real numbers are all of the irrational and rational numbers. If a number is irrational or rational, then they are a real number. Any number that does not include the imaginary number i is real (you'll learn this eventually. It's actually really interesting!).

Irrational numbers are the numbers that do not terminate nor repeat. Examples include π or √3. Note that numbers like 1/3 which is .3333 is not irrational because they are repeating. π, on the other hand, does not repeat and never ends.

Rational numbers are the numbers that terminate or repeat. They also include the integers, whole numbers, and natural numbers.

So, the √2. First, it's real because it doesn't deal with imaginaries.

Next, use a calculator and calculate √2. We can see that it is about 1.41423562... This number does not repeat. And it does not terminate (end). In other words, √2 is a irrational numbers.

Since it is irrational, it cannot be rational. Since it's not rational, it cannot be an integer, whole number, or a natural number.

Therefore, the correct answer choices are:

1) It is a real number

2) It is an irrational number

Answer:

[tex]\Large \boxed{\mathrm{It \ is \ a \ real \ number.}} \\ \\ \Large \boxed{\mathrm{It \ is \ an \ irrational \ number.}}[/tex]

Step-by-step explanation:

[tex]\sqrt{2}[/tex]

Real numbers includes all the rational and irrational numbers.

Not real numbers include all the imaginary numbers.

Integers includes all whole numbers that are negative, positive, or zero.

Rational numbers can be expressed as the quotient of two integers.

Irrational numbers cannot be expressed as the quotient of two integers.

[tex]\sqrt{2}= 1.41421356237......[/tex]

The result of square root of 2 keeps going on.

It cannot be expressed as the quotient of two integers.

Therefore, the square root of 2 is an irrational number.

It is a real number since it is an irrational number.

Answer:

b= 126°

Step-by-step explanation:

OC= OB (radius of circle)

∠OCB= ∠OBC (base ∠s isos. △)

a= 27°

b= 180° -27° -27° (∠ sum of △OBC)

b= 126°

b= 2c (∠ at centre= 2 ∠ at circumference)

c= b/2 (divide by 2 on both sides)

c= 126° ÷2

c= 63°

Answer:

1. 17.27 cm

2. 19.32 cm

3. 24.07°

4. 36.87°

Step-by-step explanation:

1. Determination of the value of x.

Angle θ = 46°

Adjacent = 12 cm

Hypothenus = x

Using cosine ratio, the value of x can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos 46 = 12/x

Cross multiply

x × Cos 46 = 12

Divide both side by Cos 46

x = 12/Cos 46

x = 17.27 cm

2. Determination of the value of x.

Angle θ = 42°

Adjacent = x

Hypothenus = 26 cm

Using cosine ratio, the value of x can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos 42 = x/26

Cross multiply

x = 26 × Cos 42

x = 19.32 cm

3. Determination of angle θ

Adjacent = 21 cm

Hypothenus = 23 cm

Angle θ =?

Using cosine ratio, the value of θ can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos θ = 21/23

Take the inverse of Cos

θ = Cos¯¹(21/23)

θ = 24.07°

4. Determination of angle θ

Adjacent = 12 cm

Hypothenus = 15cm

Angle θ =?

Using cosine ratio, the value of θ can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos θ = 12/15

Take the inverse of Cos

θ = Cos¯¹(12/15)

θ = 36.87°

Answer:

The Emdin family spent $19.5 on their meal

Step-by-step explanation:

Let

Juice boxes=x

BBQ sandwiches =y

The Meyers family purchased 4 juice boxes and 2 BBQ sandwiches for $16.

4x+2y=16

The Kaplinsky purchased 4 juice boxes and 3 BBQ sandwiches for $21.

4x+3y=21

4x+2y=16 (1)

4x+3y=21 (2)

Subtract (1) from 2

3y-2y=21-16

y=5

Substitute the value of y into (1)

4x+2y=16

4x+2(5)=16

4x+10=16

4x=16-10

4x=6

Divide both sides by 4

x=6/4

=1 2/4

=1 1/2

x=1.5

The Emdin family showed up late to the county fair and purchased 3 juice boxes and 3 BBQ sandwiches

3x+3y

Substitute the values of x and y

= 3(1.5)+3(5)

= 4.5 + 15

= $19.5

The Emdin family spent $19.5 on their meal

Answer:

0 < 8p < 8

is this what you're looking for?

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:

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

Answer:

Answer Expert Verified

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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

leave a like or rate please

Answer:

Step-by-step explanation:

Since the pool is circular

Area of a circle = πr²

where

r is the radius

From the question

Area = 300 square yards

To find the radius substitute the value of the area into the above formula and solve for the radius

That's

300 = πr²

Divide both sides by π

We have

[tex] {r}^{2} = \frac{300}{\pi} [/tex]

Find the square root of both sides

That's

[tex]r = \sqrt{ \frac{300}{\pi} } [/tex]

r = 9.7720502

We have the final answer as

Hope this helps you

Answer:

147.5 km and 64.4 km

Step-by-step explanation:

a=120  km

b=70  km

β=28 degrees ( ∘)

b^2=(a^2)+(c^2)−2ac*cosβ  

70^2 =(120^2 )+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )  

 (c^2 ) −211.907c+9500=0  

note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use

p=1;q=−211.907;r=9500  

D=(q^2 ) −4pr=(211.907^2 )−4⋅1⋅9500=6904.75561996  

D>0  

[tex]c_{1,2}[/tex]  =   (−q±  [tex]\sqrt{D}[/tex]   )/2p=(211.91±[tex]\sqrt{6904.76}[/tex])/2

​[tex]c_{1,2}[/tex]  =105.95371114±41.5474295834  

([tex]c_{1}[/tex]−147.501140726)([tex]c_{2}[/tex]−64.4062815596)=0

[tex]c_{1}[/tex]=147.501140726  

[tex]c_{2}[/tex]=64.4062815596  

Answer:

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

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:

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.