(4x-4)-8x

a. -8x
b.-4x-4
c.-4x+4
d.12x-4​

\(\text{First I would recommend replacing the question mark with x}\\\text{We have two ratios, }\\\text{and we need to solve that hard-looking equation}\\\text{in terms of x}\)

\(\rule{300}{1.7}\)

\(\text{We can multiply x times 36:: 36x}\\\text{We can multiply 4 times 27:: 108}\)

\(\rule{300}{1.7}\)

\(\text{Now it's easier to solve for x:: 36x=108; x=3}\\\text{ (we divided by 36 on both sides of the = sign)}\)

\(\rule{300}{1.7}\)

\(\text{The missing number is 3}\)

Answer:

centre of circle (h,k) is (-3,-2)

Option D is Correct.

Step-by-step explanation:

The centre of circle can be found from the equation as:

\((x-h)^2+(y-k)^2=r^2 \ then \ (h,k) \ is \ center\)

So, the steps then by Mrs Culland are:

\(x^2 + y^2 + 6x + 4y - 3 = 0\\x^2 + 6x + y^2 + 4y - 3 = 0\\(x^2 + 6x) + (y^2 + 4y) = 3\\(x^2 + 6x + 9) + (y^2 + 4y + 4) = 3 + 9 + 4\)

The next step will be:

\((x + 3)^2 + (y + 2)^2 = 16\)

I assume there is some calculating mistake in the given options. Instead of 42 there should be 16, according to solution shown above.

The general equation of circle is

\((x-h)^2+(y-k)^2=r^2 \ then \ (h,k) \ is \ center\)

In our case: \((x + 3)^2 + (y + 2)^2 = 16\)

h= -3 and k= -2, so the centre of circle (h,k) is (-3,-2)

Option D is Correct.

Answer:

D,,,, (x+3)²+(y+2)²=4², so the center is (-3, -2).

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf 252\ in.\²}\)

Step-by-step explanation:

TOP and BOTTOM:

Surface Area = 2 ( Length * Breadth)

SA = 2 ( 6 * 12 )

SA = 2 (72)

SA = 144 in. ²

FRONT and BACK:

SA = 2 ( Length * Breadth)

SA = 2 ( 3*12 )

SA = 2 (36)

SA = 72 in.²

SIDES:

SA = 2 ( Length * Breadth )

SA = 2 ( 3 * 6 )

SA = 2 (18)

SA = 36 in.²

Adding all to get the SA of rectangular prism:

= 144 + 72 + 36

= 252 in.²

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

Step-by-step explanation:

1. 15 points

2. mode-50    basically the number with the most points

3. median is 45  

Answer:

(C) 12

Step-by-step explanation:

To solve this problem, we can use the following steps:

Find half of 80: 80/2 = 40

Add 20 to half of 80: 40 + 20 = 60

Find one fifth of the result: 60/5 = 12

Therefore, one fifth of twenty more than half of 80 is equal to 12. The correct answer is (C) 12.

Answer:

(C) 12

Step-by-step explanation:

What is one fifth of twenty more than half of 80

0.5 × 80 = 40

What is one fifth of twenty more than half of 80

40 + 20 = 60

What is one fifth of twenty more than half of 80

1/5 × 60 = 60/5 = 12

Bob had 50 pencils in the beginning.

A fractional number is expressed in the form -

x/y    {where y ≠ 0)

Given is that Bob gave four - fifths of his pencils to Barbara, then he gave two - thirds of the remaining pencils to bonnie.

Assume that he had {x} pencils in the beginning. We can write -

4x/5 + 2/3(x - 4x/5) = 10

4x/5 + 2x/3 - 8x/15 = 10

x(4/5 + 2/3 - 8/15) = 10

x = 10/0.93

x = 50

Therefore, Bob had 50 pencils in the beginning.

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{QUESTION IN ENGLISH -

Bob gave four fifths of his pencils to Barbara, then he gave two thirds of the remaining pencils to bonnie, if he ended up with 10 pencils for himself... how many pencils did bob have at the beginning?}

Answer:

$12.95

Step-by-step explanation:

25.9 divided by 2 = 12 .95

Answer:

$12.95

Step-by-step explanation:

since it is half price it will be divided by two

therefore the price you will pay will be

$25.90÷2=$12.95

so the idea being, we have a system of equations of two variables and 4 equations, each one rendering a line, for this case these aren't equations per se, they're INEquations, so pretty much the function will be the same for an equation but we'll use > or < instead of =, but fairly the function is basically the same, the behaviour differs a bit.

we have a line passing through (-6,0) and (0,8), side one

we have a line passing through the x-axis and -6, namely (-6,0) and the y-axis and -4, namely (0,-4), side two

we have a line passing through (0,-4) and (6,4), side three

now, side four is simply the line connecting one and three.

the intersection of all four lines looks like the one in the picture below, so what are those lines with their shading producing that quadrilateral?

well, we have two points for all four, and that's all we need to get the equation of a line, once we get the equation, with its shading like that in the picture, we'll make it an inequality.

\((\stackrel{x_1}{-6}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{0}-\underset{x_1}{(-6)}}} \implies \cfrac{8 -0}{0 +6} \implies \cfrac{ 8 }{ 6 } \implies \cfrac{4}{3}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{ \cfrac{4}{3}}(x-\stackrel{x_1}{(-6)}) \implies y -0 = \cfrac{4}{3} ( x +6) \\\\\\ y=\cfrac{4}{3}x+8\hspace{5em}\stackrel{\textit{side one} }{\boxed{y < \cfrac{4}{3}x+8}}\)

\(\rule{34em}{0.25pt}\\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-4}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{0}-\underset{x_1}{(-6)}}} \implies \cfrac{-4 -0}{0 +6} \implies \cfrac{ -4 }{ 6 } \implies - \cfrac{2}{3}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{- \cfrac{2}{3}}(x-\stackrel{x_1}{(-6)}) \implies y -0 = - \cfrac{2}{3} ( x +6) \\\\\\ y=-\cfrac{2}{3}x-4\hspace{5em}\stackrel{\textit{side two} }{\boxed{y > -\cfrac{2}{3}x-4}} \\\\[-0.35em] \rule{34em}{0.25pt}\)

\(\stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{(-4)}}}{\underset{\textit{\large run}} {\underset{x_2}{6}-\underset{x_1}{0}}} \implies \cfrac{4 +4}{6 -0} \implies \cfrac{ 8 }{ 6 } \implies \cfrac{4}{3}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{4}{3}}(x-\stackrel{x_1}{0}) \implies y +4 = \cfrac{4}{3} ( x -0) \\\\\\ y=\cfrac{4}{3}x-4\hspace{5em}\stackrel{ \textit{side three} }{\boxed{y > \cfrac{4}{3}x-4}} \\\\[-0.35em] \rule{34em}{0.25pt}\)

\((\stackrel{x_1}{6}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{8}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{4}}}{\underset{\textit{\large run}} {\underset{x_2}{0}-\underset{x_1}{6}}} \implies \cfrac{ 4 }{ -6 } \implies - \cfrac{2}{3}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{- \cfrac{2}{3}}(x-\stackrel{x_1}{6}) \\\\\\ y=-\cfrac{2}{3}x+8\hspace{5em}\stackrel{ \textit{side four} }{\boxed{y < -\cfrac{2}{3}x+8}}\)

now, we can make that quadrilateral a trapezoid by simply moving one point for "side four", say we change the point (0 , 8) and in essence slide it down over the line to  (-3 , 4).  Notice, all we did was slide it down the line of side one, that means the equation for side one never changed and thus its inequality is the same function.

now, with the new points for side for of (-3,4) and (6,4), let's rewrite its inequality

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{4}}}{\underset{\textit{\large run}} {\underset{x_2}{6}-\underset{x_1}{(-3)}}} \implies \cfrac{4 -4}{6 +3} \implies \cfrac{ 0 }{ 9 } \implies 0\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{ 0}(x-\stackrel{x_1}{(-3)}) \implies y -4 = 0 ( x +3) \\\\\\ y=4\hspace{5em}\stackrel{ \textit{side four changed} }{\boxed{y < 4}}\)

Answer:

x = -15

Step-by-step explanation:

In fractional equations we cross multiply the expressions:

In cross multiplying the denominator of the first fraction is multiplied with the numerator of the second fraction and vice versa:

-2x = 30 divide both sides by -2

x = -15

Given :

Trey is putting up fence around a 750 foot by 540 foot lot.

To Find :

How many feet of fence does he need.

Solution :

Perimeter is given by :

\(P=2(L+B)\)

Putting value of L and B above , we get :

\(P=2\times ( 750+540)\ foot\\\\P=2580\ foot\)

Therefore, 2580 foot of fence is required.

Hence, this is the required solution.

Answer:

She made a final grade of 80% or you could say she got 20% of the questions wrong.

Answer: d.12

Step-by-step explanation:

Based on the two (2) parallel lines m||n, the value of x is equal to 4.

The vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

In Geometry, when two (2) parallel lines are cut by a transversal, the pair of vertically opposite angles that are formed would always be equal to each other. In this context, we have the following;

m∠2 = m∠3

7x - 3 = x + 21

7x - x = 21 + 3

6x = 24

x = 24/6

x = 4.

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Two workers finished a job in 7.5 days.

How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?

let t = time required by one worker to complete the job alone

then

(t+8) = time required by the other worker (shirker)

let the completed job = 1

A typical shared work equation

7.5%2Ft + 7.5%2F%28%28t%2B8%29%29 = 1

multiply by t(t+8), cancel the denominators, and you have

7.5(t+8) + 7.5t = t(t+8)

7.5t + 60 + 7.5t = t^2 + 8t

15t + 60 = t^2 + 8t

form a quadratic equation on the right

0 = t^2 + 8t - 15t - 60

t^2 - 7t - 60 = 0

Factor easily to

(t-12) (t+5) = 0

the positive solution is all we want here

t = 12 days, the first guy working alone

then

the shirker would struggle thru the job in 20 days.

Answer:7 + 17 = 24÷2 (since there are 2 workers) =12. Also, ½(7) + ½17 = 3.5 + 8.5 = 12. So, we know that the faster worker will take 7 days and the slower worker will take 17 days. Hope this helps! jul15

Step-by-step explanation:

The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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Answer:

456

Step-by-step explanation:

Product means an answer derived from multiplication.  Therefore, if the product is 155952, and one value is 342, then the following equation is true:

342x = 155952, or 342 * x = 155952

Divide 155952 by 342 to get: 456.

Check the work in the equation:

342(456) = 155952

155952 = 155952, which is true, so the answer is 456.

If I helped, please make this answer brainliest! ;)

Answer:

true

Step-by-step explanation:

The Arizona Monsoon is a well-defined meteorological event (technically called a meteorological 'singularity') that occurs during the summer throughout the southwest portion of North America. During the winter time, the primary wind flow in Arizona is from the west or northwest—from California and Nevada. As we move into the summer, the winds shift to a southerly or southeasterly direction. Moisture streams northward from the Pacific Ocean and the Gulf of Mexico. This shift produces a radical change in moisture conditions statewide.

Answer:

true

Step-by-step explanation:

The direction of rotation used to create the image is 90°  counterclockwise rotation. To determine the direction and degree of rotation used to create the image, we can compare the positions of the vertices of the original triangle ABC with the corresponding vertices of the image triangle A' B' C'.

Let's analyze the changes in the coordinates of the vertices.

Original Triangle ABC:

A(-4, -4)

B(3, -3)

C(0, -10)

Image Triangle A' B' C':

A'(4, -4)

B'(3, 3)

C'(10, 0)

By comparing the coordinates, we can observe that the image triangle has undergone a 90° counterclockwise rotation.

To determine this, we can focus on a single vertex, such as A. The original point A(-4, -4) has been rotated counterclockwise by 90° to its new position A'(4, -4). This rotation is evident in the change of sign for the y-coordinate (-4 to -4) and the swapping of the x-coordinate (-4 to 4). This pattern is consistent across all three vertices.

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Answer:

Counterclockwise rotation of 90° about the origin

The work done to stretch an elastic string by 40cm is 20 Joules

Hooke law states that the force (F) applied to a spring is directly proportional to the extension (e).

F ∝ e

F = ke

k is the constant

Given that a force of 10N produces an extension of 4cm, hence:

F = ke

10 = k(4)

k = 2.5 N/cm

For an extension of 40cm, the work done is:

Work done = (1/2)ke²

Work done = (1/2)(2.5 N/cm)(40 cm)² = 2000Ncm = 20 Nm

Work done = 20 Joules

The work done to stretch an elastic string by 40cm is 20 Joules

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Answer:

x= -5

Step-by-step explanation:

Simplifying

5x + 5 = -20

Reorder the terms:

5 + 5x = -20

Solving

5 + 5x = -20

Solving for variable 'x'.

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

Add '-5' to each side of the equation.

5 + -5 + 5x = -20 + -5

Combine like terms: 5 + -5 = 0

0 + 5x = -20 + -5

5x = -20 + -5

Combine like terms: -20 + -5 = -25

5x = -25

Divide each side by '5'.

x = -5

Simplifying

x = -5

Answer:

A.) 20h + 8

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

4*x-9=2x+15

4x-9=2x+15

-2x    -2x

2x-9=15

2x=24

x=12

Answer:

5,236 in

Step-by-step explanation:

volume for head: 2144.66

volume for torso: 2714.34

volume for arms: 376.99

add it up and equals 5235.99, round it up to 5,236

The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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Answer:

Below

Step-by-step explanation:

Find the length of the boxtop using Pythag Theorem for the triangle on top

length = sqrt(4^2 + 8^2) = sqrt 80

Use pythag theorem again to find diagonal length

diag = sqrt ( 10^2 + sqrt(80)^2 ) = sqrt (180) =13.4 units  

The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

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Answer:

P(379<X<394) = 0.0899 = 8.99%

Step-by-step explanation:

P(379<X<394) = normalcdf(379,394,406,9) = 0.0898613146 ≅ 8.99%

Therefore, if you pick one fruit at random, the probability that it will weigh between 379 grams and 394 grams is 0.0899 or about an 8.99% chance of occurence.

Yes, xyz is a dilation of the abc .

To confirm this we have to check the ratios of the sides of both the triangles.

sides of the triangle ABC are :

AB = 5cm,

BC = 7cm,

CA = 8 cm

sides of the triangle XYZ are:

XY = 20 cm

YZ = 28 cm

ZX = 32 cm

Now the ratios of the sides of the both the triangles are :

AB/XY = 5/20 =1/4

BC/YZ = 7/28 = 1/4

CA / ZX = 8/32 = 1/4

All the sides have the same ratios of their sides so that we can say that XYZ is dilation of the ABC

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9514 1404 393

Answer:

  $23,600

Step-by-step explanation:

Total pay is the sum of base pay and commission.

  $22000 +1600 = $23,600

__

Additional comment

We can't really answer the take-home pay question unless we know the time period involved and the deductions due to taxes (and other things). With the information given here, we can only assume that the given amounts apply to the time period of interest, and that there are no deductions.

Answer:

23600

Step-by-step explanation:

Add both numbers together!