Enter the value for x that makes the given equation true.
2(-2x - 4) + 6 = 5 – 3(x + 1)

Answer:

Step-by-step explanation:

Peter can use the 10% of 80 to find 40% by multiplying the 8.7 by 4 because if 10% =8.7  then multiply 8.7 by 4 which is = 34.8  now subtract this from the total, 87-34.8= 52.2 so 40% of 87 is 52.2.

To find out b we need to find out 10% of 64, so we move the decimal which is 6.4, then multiply 6.4 by 4 which is 25.6. then subtract this from the total, 64-25.6= 38.4

Answer:

(-3, -5)

Step-by-step explanation:

By using the distance formula, we see that the length of RT is [tex]\sqrt{(6+9)^2+(-2+7)^2}[/tex] which equals [tex]5\sqrt{10}[/tex].

The ratio of RS to ST is 3:2, so we can write the distance of RS as [tex](5\sqrt{10} / 5) * 3[/tex] which equals [tex]3\sqrt{10}[/tex]. The distance of ST is then [tex]2\sqrt{10}[/tex].

Since we know the distance of RS and ST, we can find the coordinates of point S by using the distance formula again:

[tex]\sqrt{(6-x)^2+(-2-y)^2} = 3\sqrt{10}[/tex] and [tex]\sqrt{(-9-x)^2+(-7-y)^2} = 2\sqrt{10}[/tex]

We solve for x and y, getting (-3, -5).

The required coordinate point s is (-3, -5).

Given that,
The points R (6,-2) and T (-9,- 7).
To find the coordinates of point S on line RT such that the ratio of RS to ST is 3: 2​

Coordinate, is represented as the values on the x-axis and y-axis of the graph

Here,
Let the coordinates of s be (x, y)
Applying the section formula,
x = [mx₂ + nx₁]/ m+n   ; y = [my₂ + ny₁]/ m+n
Since, m = 3 n = 2,
x = [3*-9 + 6*2] / 3 + 2 ; y = [-7*3 + -2*2] / 3 + 2
x = [-27 + 12] / 5          ; y =  [-21 - 4]/ 5
x = [-15] / 5                  ; y = -25 / 5
x = -3                          ; y = -5

Thus, the required coordinate point s is (-3, -5)

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Answer: 14 minutes

Step-by-step explanation:

Given: A tap pours [tex]6\dfrac13[/tex] liters of water per minute.

To find : Time taken to fill an[tex]88 \dfrac23[/tex] liters capacity tank.

which is given by :-

Time = [tex]88 \dfrac23\div 6\dfrac13[/tex] minutes

[tex]=\dfrac{3\times88+2}{3}\div\dfrac{3\times6+1}{3}[/tex]  minutes

[tex]=\dfrac{266}{3}\div \dfrac{19}{3}[/tex] minutes

[tex]=\dfrac{266}{3}\times\dfrac{3}{19}[/tex]  minutes

[tex]=\dfrac{266}{19}=14\text{ minutes}[/tex]

Hence, it will take 14 minutes to fill an[tex]88 \dfrac23[/tex] liters capacity tank.

Answer:

A). Use any three points in the plane that are not on the same line.

C). Use a single capital cursive letter.

Step-by-step explanation:

A Plane is defined as a flat surface that is extending infinitely in each and every direction. For Example, a horizontal or a vertical plane. It is a two-dimensional, rigid, and flat. Since it extends infinitely, the width as well as its length cannot be measured.

A plane is  named in different ways like by 'using a capital letter in cursive script' or 'by naming the three non-collinear points lying on different lines.' For example, a plane can be named as plane 'P' or ABC. Thus, options A and C are the correct answers.

Answer:

Option (3)

Step-by-step explanation:

If binomial (x - 6) and trinomial (-2x² + x + 9) are the factors of a polynomial then their multiplication will be equal to the polynomial.

(x - 6)(-2x² + x + 9) = x(-2x² + x + 9) - 6(-2x² + x + 9)

                              = -2x³ + x² + 9x + 12x² - 6x - 54

                              = -2x³ + 13x² + 3x - 54

Therefore, Option (3) will be the correct option.

Answer:

A = –3

B = 7

Step-by-step explanation:

[(10x³y⁵)(4x²y¯²)/20x¯⁴yᵇ]ᵃ = y¹²/8x²⁷

The value of a and b can be obtained as shown in the attached photo.

Answer:

This equation is solved w=-17

Step-by-step explanation:

Hope it will help :)

Answer:

w = -17

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

Step 1: Write out equation

8/r + 9b

Step 2: Define variables

r = 2

b = 7

Step 3: Replace variables

8/2 + 9(7)

4 + 63

67

Answer:

a = (n+p)/m

Step-by-step explanation:

Divide both side by m to isolate a.

a = (n+p)/m

On solving for a, we get -  

a = [tex]$\frac{n +p}{m}[/tex]

We have the following expression -

am = n + p

We have to solve for ' a '.

On solving, we get -

πx + a = ω

πx = ω - a

x = [tex]$\frac{\omega-a}{\pi }[/tex]

According to the question, we have -

am = n + p

a = [tex]$\frac{n +p}{m}[/tex]

Hence, on solving for a, we get -  

a = [tex]$\frac{n +p}{m}[/tex]

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Answer:

B: A way to draw precise figures using a compass and a straightedge.

Step-by-step explanation:

In geometry, the term 'construction' refers to the draw geometrical shapes and figures accurately. The lines, angles, figures, and shapes are drawn with the help of a compass, ruler, and pencil. Arcs and lines are drawn neatly and angles are constructed. The lines and shapes are constructed without known lengths or angles with the help of the compass, pencil, and ruler.

Answer:

{ x | -7 ≤ x ≤ 4 }

Step-by-step explanation:

Answer:

  angle = 170° + n·360°

Step-by-step explanation:

Any angle that is a multiple of 360°, added to 170° will be coterminal with 170°:

  angle = 170° + n·360°

Answer:

55

Step-by-step explanation:

Answer:

3 feet

Step-by-step explanation:

The diagram showing the pool and the walkway has been attached to this response.

The area of the pool = 15feet x 17 feet = 255 square feet

The total area of the pool and the walkway = 483 square feet

The area of the walkway is the difference between the total area and the area of the pool. i.e

Area of walkway = total area - area of pool

Area of walkway = 483 - 255 = 228 square feet

Now, from the diagram, the walkway can be seen as four rectangles - A, B, C and D - all with a width of x.

Area of rectangle A = (17 + 2x) * x = 17x + 2x²

Area of rectangle B = (17 + 2x) * x = 17x + 2x²

Area of rectangle C = 15 * x = 15x

Area of rectangle D = 15 * x = 15x

Area of walkway = Area of rectangle A + Area of rectangle B + Area of rectangle C + Area of rectangle D

228 = [17x + 2x²] + [17x + 2x²] + [15x] + [15x]

228 = 64x + 4x²

4x² + 64x - 228 = 0

Divide through by 4

x² + 16x - 57 = 0

Now let's solve the quadratic equation:

x² - 3x + 19x - 57 = 0

x(x - 3) + 19(x - 3) = 0

x - 3 = 0     or     x + 19 = 0

x = 3          or      x = -19

Since width cannot be negative, the correct solution is x = 3

Therefore, the width of the walkway is 3 feet

Answer:

71/8

Step-by-step explanation:

8 ⅞ = 71/8

How?

8 × 8 + 7 = 71

Which is 71/8.

Answer:

Hey there! :)

Step-by-step explanation:

~ Answer is 71/8 ~

There is two ways you can do this, they are provided below :)

Steps in order to solve this question!:

~1. First you have to multiply the denominator by the whole number

(The denominator is 8, and the whole number is 8 too)

So, 8x8=64

~2. Next you have to take the 64 and add it to the 7 which is the numerator of 8 7/8.

64+7=71

~3. The answer is 71/8. The denominator is 8 because the denominator never changes.

………………………………………………………………………………………………

Another way you can do this:

8x8+7

_____ <= And this is how we get 71/8

8

~Therefore the answer is 71/8.

~Hope this helps!

(If you still don’t understand than ask for help! You can ask me if you don’t understand any of the steps!)

I would be glad to answer any questions you have about this problem. :D

Answer:

C.18(38) +2.5s >/= 750

Step-by-step explanation:

If Patty earns $18 an hour, plus an additional $2.50 each time one of her customers completes survey and Patty plans to work 38 Hours then the inequality which shows the earning of atleast $750 is 18(38)+2.5s>=750 which is option C.

Inequality is like an equation which shows the relationship between two or more variables but it is expressed in greater than, less than, greater than or equal to, less than or equal to signs.

We have been given that the number of surveys is s.

Earning on the basis of hours=18*38

Earning from customer's survey=s*2.50

Earning required by Patty=$750

Inequality which shows atleast $750 earning of Patty is :

18*38+2.50s>=750

we have to use greater than sign because the earning that Patty wants to earn is atleast 750 so it can be equal to or more than 750 dollars.

Hence the inequality will be 18(38)+2.5s<=750.

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Answer:

I got 12.

Step-by-step explanation:

Divide 55 by 3 to get the amount he makes each day (18.333333, which rounds to 18.33)

Divide the amount he wants to earn by the amount he earns each day (12.00218221, which rounds to 12)

Answer:

12 days

Step-by-step explanation:

First we need to find how much he makes in 1 day:

if $55 in 3 days that means 55/3=$18.33 a day

now 220/18.33≈12 days

Answer:

a20=a+19d

or,100=a+19d

or, a=100-19d--------(I)

again,

a50=a+49d

or, 400=a+49d

or, a=400-49d--------(ii)

equating equations,we get

100-19d=400-49d

or, 30d=300

so, d=10

Step-by-step explanation:

plz mark it as brainliest

Answer:

1=145°

2=35°

3=145°

Step-by-step explanation:

A straight line always measures 180°

35°+a=180°

a=180°-35°

a=145°

Therefore <1=145°

a=<1=145°

b=<2

a+b=180°

145°+b=180°

b=180°-145°

b=35°

b=<2

c=<3

b+c=180°

35°+c=180°

c=180°-35°

c=145°

Hope this helps ;) ❤❤❤

Let me know if there is an error in my answer.

Answer:

i would like to  say you divide but not shure im just starting 8th grade but good luck

Step-by-step explanation:

Answer:

The equation is;

f(x) = -2·x² + 5·x - 1

Step-by-step explanation:

The general form of a quadratic equation  or function f(x) is, f(x) = y = a·x² + b·x + c

Given that the points representing the quadratic function are;

(-1, -8), (0, -1), (1, 2) which  are of the form (x, y)

When x = -1, f(x) = y = -8

Plugging in the above values into the general form of a quadratic function, we have;

-8 = a·(-1)² + b·(-1) + c = a - b + c

-8  = a - b + c.........................(1)

When x = 0, y = -1, we have;

-1 = a·(0)² + b·(0) + c = c

c = -1.......................................(2)

When x = 1, y = 2, which gives;

2 = a·(1)² + b·(1) + c = a + b + c

2 = a + b + c........................(3)

Adding equation (1) to equation (3), we have;

-8 + 2 = a - b + c + a + b + c

-8 + 2 = 2·a + 2·c

From equation (2) c = -1, we get;

-8 + 2 = -6 = 2·a + 2·c = 2·a + 2 × (-1)

-6 = 2·a - 2

-4 = 2·a

a = -2

From equation (3), we have

2 = a + b + c

Substituting the values of a, and c gives;

2 = -2 + b - 1

b = 2 + 2 + 1 = 5

b = 5

The equation is therefore;

f(x) = -2·x² + 5·x - 1.

Answer:

b

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

2+7=9.

9x3=27

72+9=81

27x3=81

Answer: Jenna sold 280 and Becca sold 105 boxes.

Step-by-step explanation:

Let 3x be the number of cookies Becca sold.

Then, the number of cookies Jenna sold = 8x

Since Combined, they sold a total of 385 boxes of cookies.

So, [tex]3x+8x=385[/tex]

[tex]\Rightarrow\ 11x=385\\\\\Rightarrow\ x=\dfrac{385}{11}\\\\\Rightarrow\ x=35[/tex]

So, Jenna sold 8(35) = 280 boxes

and Becca sold 3(35)=  105 boxes

Hence, Jenna sold 280 and Becca sold 105 boxes.

Answer:

$240,000

Step-by-step explanation:

Mr. Sanford's fortune is x

Then we got the equation:

Mr. Sanford’s fortune was $240,000

Answer:

The shorter side piece of fabric = x = 8 feet

The longer side piece of fabrics = (x + 2) = 10 feet

Step-by-step explanation:

Total yards of fabrics = 6 yards

you need to cut it in two pieces where one is two feet longer than the other.

First piece= x feet

Second piece= x+2 feet

Convert 6 yards to feet

6 yards = 18 feet

First piece + second piece = total piece of fabrics

x + (x+2) = 18

x + x + 2 = 18

2x + 2 = 18

2x = 18 - 2

2x = 16

Divide both sides by 2

x = 16 / 2

x = 8 feet

8 feet = 2.66667 yards

x + 2

= 8 + 2

= 10 feet

10 feet = 3.33333 yards

The shorter side piece of fabric = x = 8 feet

The longer side piece of fabrics = (x + 2) = 10 feet

Answer:

Suku ke 5 adalah 56

Step-by-step explanation:

Harap jawapan tersebut betul

Answer:

1) Se siembra cinco doceavas partes del terreno con claveles rojos y amarillos, 2) Se siembra siete doceavas partes del terreno con claveles blancos.

Step-by-step explanation:

El enunciado se encuentra incompleto. La pregunta faltante es:

2 ¿Qué parte del terreno corresponde a los claveles blancos?

1) Sea [tex]A[/tex] el área total sembrada con los tres tipos de claveles. Entonces, las áreas sembradas con claveles rojos y claveles amarillos son [tex]\frac{1}{6}\cdot A[/tex] y [tex]\frac{1}{4} \cdot A[/tex], respectivamente.

El área sembrada con claveles rojos y amarillos se obtiene al sumar las áreas correspondientes, es decir:

[tex]x = \frac{1}{6}\cdot A + \frac{1}{4}\cdot A[/tex]

[tex]x = \left(\frac{1}{6}+\frac{1}{4}\right)\cdot A[/tex]

[tex]x = \left(\frac{4+6}{24} \right)\cdot A[/tex]

[tex]x = \frac{10}{24}\cdot A[/tex]

[tex]x = \frac{5}{12}\cdot A[/tex]

Se siembra cinco doceavas partes del terreno con claveles rojos y amarillos.

2) El área sembrada con claveles blancos se obtiene al sustraer el área obtenida en el punto anterior del área total. Esto es:

[tex]x = A - \frac{5}{12}\cdot A[/tex]

[tex]x = \left(1-\frac{5}{12} \right)\cdot A[/tex]

[tex]x = \left(\frac{12}{12}-\frac{5}{12} \right)\cdot A[/tex]

[tex]x = \left(\frac{12-5}{12} \right)\cdot A[/tex]

[tex]x = \frac{7}{12}\cdot A[/tex]

Se siembra siete doceavas partes del terreno con claveles blancos.

Answer:

Step-by-step explanation:

>:C

Answer:

-15

3

Step-by-step explanation:

6x-y=-9

6x-(15)=-9

-12x-4y=0

-12x-4(3) =0

-12-12=0

Answer:

22 hours

Step-by-step explanation:

pay rate = (amount of money)/time

(pay rate) * time = amount of money

time = (amount of money)/(pay rate)

time = $275/($12.50/hour)

time = 22

Answer: 22 hours

Answer:

22 hours

Step-by-step explanation:

We know that Terrance makes $12.50 per hour and he made $275 a week. We can divide 275 by 12.50 :

275 ÷ 12.50 = 22

So Terrance worked 22 hours

Check answer:

22 x 12.50 = 275

Answer:

Option C. r = (27 – P)/3P

Step-by-step explanation:

The following data were obtained from the question:

A = 27

t = 3

r =?

А = P(1 + rt)

With the above formula, we can obtain the value of r as follow

А = P(1 + rt)

27 = P(1 + 3r)

Divide both side by P

27/P = 1 + 3r

Subtract 1 from both side

27/P – 1 = 1 – 1 + 3r

27/P – 1 = 3r

(27 – P)/P = 3r

Divide both side by 3

r = (27 – P)/P ÷ 3

r = (27 – P)/P × 1/3

r = (27 – P)/3P