x/3=y/8=z/5 và 2x+3y-z=50

Answer:

180 meters

Step-by-step explanation:

To find the perimeter of the actual swimming pool, you need to first find the length and width of the actual swimming pool by multiplying the length and width of the pictured swimming pool by the scale factor of 1200 cm.

Now that we know that the perimeter of the actual pool is 18000 centimeters, we need to convert that to meters! Keep in mind that:

Now we can divide 18000 by 100:

18000 cm ÷ 100 = 180 m

Therefore, the perimeter of the actual swimming pool is 180 m.

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

to know more about unitary method

https://brainly.com/question/28276953

Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

The  statements are true is:  C. The percent error of the prediction was about 55%. E. The difference between the predicted and actual rainfall was 1.2 inches.

Percentage error can be calculated  using this formula

Percentage error = Actual value observed - Expected value /Expected value

Percentage error = 2.2 - 1.0 / 2.2

Percentage error = 1.2 /2.2

Percentage error = 0.545 × 100

Percentage error = 55% (Approximately)

Difference between the predicted and actual rainfall;

Difference = Actual rainfall - Predicted rainfall

Difference = 2.2 -1.2

Difference = 1.2 inches.

Therefore the correct statement is option C and E.

Learn more about percentage error https://brainly.com/question/28746643

#SPJ1

Answer:

C. (-2,0)  **See diagram**

Step-by-step explanation:

For a coordinate system, the origin is the point located at (0,0).

Any coordinate ordered pair (x,y) is given with the x-coordinate (the "left-right" distance from the origin) first, and the y-coordinate (the "up-down" distance from the origin) second.

With the given starting point (-6,3), the original point is to the left (in the negative "x" direction) 6 units, and up (in the positive "y" direction) 3 units.

the y-coordinate

To translate (slide or move) the point down 3 units would affect the y-value by subtracting 3.  The original y-value is 3, so subtracting 3 will give a new y-value result of 0.

the x-coordinate

To translate the point right 4 units would affect the x-value by adding 4.  The original x-value is -6, and we need to add 4.

Adding positive and negative numbers

When adding two numbers where one is positive and one is negative, we'll want to look at the magnitude ("size," or distance from zero) of the two numbers.  Negative six is 6 units from zero, and positive four is 4 units from zero.

When adding one positive and one negative number, the result has a sign matching the number with the larger magnitude, and a value that is the difference of their two magnitudes.

The negative six is the larger number, so the result will be negative.

The difference between 4 and 6 is 2 (counting from 4 up to 6 takes two steps... or differently, six minus four is two).

So adding 4 to -6 will give a new x-value result of -2.

Hence, the final point (as illustrated in the diagram), is (-2,0), which is answer choice C.

Answer:

1 seconds after being thrown, the stone reaches its max height

Step-by-step explanation:

Answer:1 Seconds Is wrong the correct answer is 2

Step-by-step explanation:

Khan said so

PLEASE LIKE AND RATE IF YOU GOT YOUR QUESTION RIGHT!!!

Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

We have ,

Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.

The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.

Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.

Hence, Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

Read more about net income here:

brainly.com/question/28390284

#SPJ1

complete question:

A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?

b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?

d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?

e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?

f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?

g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?

Answer:

y = x -6

Step-by-step explanation:

First find the slope

m= ( y2-y1)/(x2-x1)

   = (0- -6)/(6-0)

   =( 0+6)/(6-0)

   = 6/6

   = 1

The slope is 1 and the y intercept is -6

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = x -6

Answer:

the answer is C

Step-by-step explanation:

y = x -6

Answer:

y=5x-37

Step-by-step explanation:

y-y1=m(x-x1)

y-3=5(x-8)

y=5x-40+3

y=5x-37

9514 1404 393

Answer:

  E.  The new volume is 27 times the old volume

Step-by-step explanation:

If L, W, and H are the original length, width, and height, then the original volume is ...

  V = LWH

The volume after the scale factor is applied is ...

  V' = L'W'H' = (3L)(3W)(3H) = 27LWH = 27V

The new volume is 27 times the old volume.

The z-score of the given expression P(-a < z < a) = 0.4314 is; 0.55

We are told that P(-a < z < a) = 0.4314. Thus;

P(-a < z < a) = 0.4314 is represented by the area about mean. This means that; 0.4314/2 = 0.2157 is the area each on the left side and right side of mean.

Now, from online z-score calculator, we see that the z value corresponding to 0.2157 is 0.55.

Assume that ​z-scores are normally distributed with a mean of 0 and a standard deviation of 1, if P(-a < z < a) = 0.4314, then it means that the z score is 0.55.

Read more about Normal Distribution at; https://brainly.com/question/27275125

#SPJ1

Complete question is;

Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(−a < z < a) = 0.4314, find d a. Round to two decimal places

The true statement is mean > median

The mean is the average value.

So, we have

Mean = Sum/Count

This gives

Mean = (8 * 1 + 10 * 3 + 14 * 2)/(1 + 3 + 2)

Evaluate

Mean = 11

The mode is the measure with the highest frequency.

So, we have

Mode = 10

The median is the middle element

So, we have

Median = 10

The mean (11) is greater than the mode and the median

Hence, the true statement is mean > median

Read more about mean, median and mode at:

https://brainly.com/question/15323584

#SPJ1

Answer:h45

Step-by-step explan

The slope of the points will be equal to 1.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise of the line to the run of the line.

Given that the points of the line are (0,0), (1,1), and (2,2). The slope of the line will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 2- 1 ) / ( 2- 1 )

Slope = 1 / 1

Slope = 1

To know more about slopes follow

https://brainly.com/question/3493733

#SPJ2

The width of the rectangular rug is 13 feet and the length of the rectangular rug is 26 feet.

Area of a rectangle formula: A = L * W. A

rectangle's length and width are multiplied to produce its area.

A is the area, L is the length, and W is the width or girth, where

A = L * W.

The corresponding sides of the rectangular rug and the rectangular floor must be proportional if they are alike.

Let's use "x" to represent the rug's width. The floor measures 32 feet in length and 26 feet in width, and the length of the rug is 16 feet according to the details provided. Since the rug and the surface are comparable, we can establish the following ratio:

Rug width/floor width = rug length/floor length

x / 26 = rug's length / 32

We can cross-multiply and then solve for "x" to find the answer:

32x = 26 * Rug's length

x =  (26 * Rug Length) / 32

\(= \frac{26 * 16}{32} \\= \frac{26}{2} \\= 13\)

Therefore x ( the width of the rug) is = 13 feet.

Learn more about rectangles here:

https://brainly.com/question/29123947

#SPJ1

Complete question:

The rectangular rug is similar to the rectangular floor. If the floor of the room measures 32 feet in length and 26 feet in width, and the length of the rug is 16 feet, what is the width of the rug?

Answer:  82 sq. units .

Step-by-step explanation:

Let A (9, −1), B (−1, 7), C(−5, 2), D(5, −6) are the vertices of rectangle.

Then we plot them on graph ( as provided in attachment)

Length = AB \(=\sqrt{(9+1)^2+(-1-7)^2}\) units  [By distance formula : \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)]

\(=\sqrt{(10)^2+(-8)^2}=\sqrt{100+64}=\sqrt{164}=2\sqrt{41}\) units

Width = BC = \(\sqrt{(-1+5)^2+(7-2)^2}\) units

\(=\sqrt{4^2+5^2}\\\\=\sqrt{16+25}\\\\=\sqrt{41}\)

Area = length x width

= \(2\sqrt{41}\times\sqrt{41}=2\times41= 82\text{ sq. units}\)

Hence, the  area of the rectangle is 82 sq. units .

Answer: 120 degrees.

Step-by-step explanation: A 90-degree angle would be a right angle. The segments would be perpendicular. In a 180-degree angle, the line would be flat. This angle is between these two angle measures. It appears quite close to a 120-degree angle such as the one shown below:

Because of this, I would estimate that the angle is around 120 degrees. It may be 130 degrees or 110 degrees but it appears to be approximately 120 degrees.

Answer:

\(x = 375.3\)

Step-by-step explanation:

Given

See attachment for illustration

Required

Determine the horizontal distance

The horizontal distance is the distance between the technician and the base of the pole.

Represent this with x.

The relationship between x, 175ft and 25 degrees is represented as:

\(tan(25^{\circ}) = \frac{175}{x}\) --- i.e. tan formula

Multiply both sides by x

\(x * tan(25^{\circ}) = \frac{175}{x} * x\)

\(x * tan(25^{\circ}) = 175\)

Make x the subject

\(x = \frac{175}{tan(25^{\circ})}\)

\(x = \frac{175}{0.4663}\)

\(x = 375.294874544\)

\(x = 375.3\) --- approximated

The distance is approximately 375.3ft

Answer:

i think its

x^2 + (y + 2)^2 = 21.

Step-by-step explanation:

Answer:

  (-20x -25)/(x^2-x-30)

Step-by-step explanation:

You want to simplify the rational expression (3x²)/(x²-x-30) -(3x+5)/(x-6).

Usually these problems are constructed so that the higher-degree polynomial denominator has the lower degree denominator as a factor. That is the case here.

  \(\dfrac{3x^2}{x^2-x-30}-\dfrac{3x+5}{x-6}=\dfrac{3x^2}{(x+5)(x-6)}-\dfrac{(x+5)(3x+5)}{(x+5)(x-6)}\\\\=\dfrac{3x^2-(3x^2+20x+25)}{x^2-x-30}\)

  \(=\boxed{\dfrac{-20x-25}{x^2-x-30}}\)

Answer:

vertical angles

Step-by-step explanation:

vertical angles are opposite angles that share the same vertex. They are formed by a pair of intersecting lines. Their angle measures are equal.

The volume of the composite solid found using the volumes of cuboids is 510 cm³.

What is a cuboid?

A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. A cuboid is similar to a cube in that a cuboid can become a cube by varying the lengths of the edges or the angles between the faces. Another name for a cuboid is a rectangular prism. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect. The base rectangular face multiplied by the height gives a cuboid's volume.

This figure can be considered a composite figure consisting of two cuboids.

The total volume is the sum of the volumes of the larger and the smaller cuboids.

Larger cuboid dimensions

length l = 5cm

width w = 7cm

Height h = 12 cm

Volume V = l * w * h = 5 * 7 * 12 = 420 cm³

Smaller cuboid dimensions

length l = 5cm

width w = 2cm

Height h = 9 cm

Volume v = l * w * h = 5 * 2 * 9 =  90 cm³

The volume of the figure = V + v = 420 + 90 = 510cm³

Therefore the volume of the composite solid found using the volumes of cuboids is 510 cm³.

To learn more about the cuboid, follow the link.

https://brainly.com/question/26403859

#SPJ1

Check the picture below, so the ellipse looks more or less like so

\(\textit{ellipse, horizontal major axis} \\\\ \cfrac{(x- h)^2}{ a^2}+\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2- b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=-4\\ k=10\\ a=8 \end{cases}\implies \cfrac{(x- (-4))^2}{ 8^2}+\cfrac{(y- 10)^2}{ b^2}=1\implies \cfrac{(x+4)^2}{ 8^2}+\cfrac{(y- 10)^2}{ b^2}=1 \\\\\\ \stackrel{\textit{we know that c = 6}}{6=\sqrt{8^2 - b^2}}\implies 6^2=8^2-b^2\implies b^2=8^2-6^2\implies \underline{b^2=28} \\\\\\ \cfrac{(x+4)^2}{ 8^2}+\cfrac{(y- 10)^2}{ b^2}=1\implies {\Large \begin{array}{llll} \cfrac{(x+4)^2}{ 64}+\cfrac{(y- 10)^2}{ 28}=1 \end{array}}\)

Answer:

13/4

Step-by-step explanation:

3×4=12

12+1=13

Your welcome

Answer:

13/4

Step-by-step explanation:

Answer:

\(x=4\)

Step-by-step explanation:

-x + 4 equals 0.

Substitute 4 for x:

\(g(4)=-4+4\)

Simplify:

\(g(4)=0\)

\(x=4\)

Answer:

g^15/8h^6

Step-by-step explanation:

I put your question into a math calculator and got this. It's your question simplified.

Answer: 132 cm cubed

Step-by-step explanation:

0.5*3*4*2=12

10*5=50

4*10=40

3*10=30

30+40+50+12=132 cm cubed

Answer:

4

Step-by-step explanation:

The age of Jack's brother is 13 years.

A linear function has a straight line as its graph. A linear function has the form shown below.

a + bx = y = f (x).

A linear function consists of one independent variable and one dependent variable. The independent and dependent variables are x and y, respectively.

If Jack is w years old now, then his brother is w + 3 years old now.

Let x be the age of Jack's brother, then we have:

x = w + 3

In this equation,

the independent variable is w, which represents Jack's age,

and the dependent variable is x, which represents his brother's age.

So if we know Jack's age, we can use this equation to find his brother's age.

For example, if Jack is currently 10 years old, then his brother is:

x = w + 3 = 10 + 3 = 13

Therefore, his brother is 13 years old.

To learn more about the linear function;

brainly.com/question/20286983

#SPJ9

When shape P is enlarged by the scale factor and the centre, the new coordinates would be (2, 6), (6, 6), (0, 8), and (4, 8).

The current coordinates are:

( 1 , 3 ) ( 3, 3 ) ( 0, 4 ) and ( 2, 4 )

The new coordinates, with an expansion of 2 would be:

Point 1:

New coordinates: (1 x 2, 3 x 2) = (2, 6)

Point 2:

New coordinates: (3 x 2, 3 x 2) = ( 6, 6 )

Point 3:

New coordinates: ( 0 x 2, 4 x 2) = ( 0, 8 )

Point 4:

New coordinates: (2 x 2, 4 x 2) = ( 4, 8 )

The enlarged figure would have coordinates at  (2, 6), (6, 6), (0, 8), and (4, 8).

Find out more on enlargement at https://brainly.com/question/27964084

#SPJ1

Answer:

25%

Step-by-step explanation:

(56/224)*100

Answer:

25%

Step-by-step explanation:

56 pages of 224 pages

56/224

= 1/4

1/4 = 0.25

1/4 & 0.25 = 25%

Answer:

w = 18

Step-by-step explanation:

Step 0: Set up the equation

=> -3w - 4 + 5w = 32

Step 1: Move the same variable together

=> -3w + 5w = 32 + 4

Step 2: Add up and simplify

=> 2w = 36

Step 3: Divide both by 2

=> w = 18

Answer:

W=18

Step-by-step explanation:

-3w-4+5w=32

-3w+5w-4=32

2w-4=32

2w=32+4

2w=36

W=18