in the figure, h II o find the value of x and y

The ratio in simplest form, of the number of tickets jeans sold to the number of tickets jake sold is 12/49.

Given that,

Jake sold 49 tickets while jeans sold 12 for the school.

In simplest form the ratio of the given case will be;

Simplest form:

A fraction is a number that falls between the whole numbers but is not a whole number. It belongs to the entire. A fraction also consists of a denominator and a numerator. We obtain the fraction in its simplest form when both the numerator and denominator can no longer be independently reduced to any smaller integer.

The ratio we get;

→ 12/49

The ratio in simplest form, of the number of tickets jeans sold to the number of tickets jake sold is 12/49.

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The equation of a line in the point-slope form that has a slope of 1/3 and passes through the point (6,-2) is [tex]y+2 =\frac{1}{3} (x-6 )[/tex].

Calculation

[tex]y-y_{1} =m(x-x_{1} )[/tex]

[tex]y-(-2) =\frac{1}{3} (x-6 )[/tex]

[tex]y+2 =\frac{1}{3} (x-6 )[/tex]

Therefore, the equation of a line in the point-slope form that has a slope of 1/3 and passes through the point(6, -2) is [tex]y+2 =\frac{1}{3} (x-6 )[/tex]

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The value of the correlation coefficient is 0.625.

Correlation coefficients quantify the strength of a relationship between two variables. A correlation coefficient is a number ranging from -1 to 1 that indicates the degree and direction of a relationship between variables. It is a statistical notion that aids in the establishment of a relationship between predicted and actual values collected in a statistical experiment.

In this case, the slope of the model was 2.5 centimeters per pH level, and the standard deviation of the sample of plant heights was 4 centimeters.

The correlation coefficient will be:

= Slope / Standard Deviation

= 2.5 / 4

= 0.625

The coefficient is 0.625.

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Answer:

62%

Step-by-step explanation:

1040-110-145-139=646

646/1040=62%

Step-by-step explanation:

3.

we need to find the map size based on actual miles.

so, we find how many map ft are 1 actual mile :

5 ft / 20.5 corresponds to 1 actual mile.

5 / 20.5 = 10/41 ft

now, we have 15.5 actual miles, that is 15.5 times the 1 standard actual mile.

and so, this is

10/41 × 15.5 = 155/41 = 3.7804878048780... map ft

4.

30.5 model cm = 70.6 actual m

1 model cm = 70.6/30.5 = 2.314754098... actual m.

8 model cm = 8×2.314754098... =

= 18.51803279... actual m

5.

7 map m = 14 actual miles

1 map m = 14/7 = 2 actual miles.

14 map m = 14×2 = 28 actual miles.

6.

8 map km = 6 actual miles

we need to calculate the map km, so we need the standard actual mile

1 actual mile = 8/6 = 4/3 = 1.3333333... map km.

50.2 actual miles = 50.2×1.333333... =

= 66.93333333... map km.

7.

80.2 model cm = 40.2 actual m

1 model cm = 40.2/80.2 = 0.501246883... actual m

10 model cm = 10×0.501246883... =

= 5.01246883... actual m

8.

6 map m = 15 actual miles

1 map m = 15/6 = 5/2 = 2.5 actual miles

8.8 map m = 8.8×2.5 = 22 actual miles

9.

5 map ft = 16.5 actual miles

1 actual mile = 5/16.5 = 0.303030303... map ft

45.6 actual miles = 45.6×0.303030303... =

= 13.81818181... map ft

10.

65.8 model cm = 95.6 actual m

1 model cm = 95.6/65.8 = 1.452887538... actual m

12 model cm = 12×1.452887538... =

= 17.43465046... actual m

The expression 11! / 9!(11-9)! evaluates to 55

The symbol ! is called factorial in mathematics.

Factorial can be defined as the product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point.

Thus, factorial five is written as 5! meaning 5×4×3×2×1

It can also be written in shortened form as 5×4! or 5×4×3!

Let's evaluate  11! / 9!(11-9)!  now:

11! / 9!(11-9)! =  11! / 9!(2)!

                    = 11×10×9! / 9!2!

                    = 11×10/ 2                   (Note: 2! = 2×1 =2 )

                    = 110/2

                   =  55

Note: We shortened 11! to 11×10×9! because we want the 9! to cancel out each other. This is usually done to ease the evaluation. Also, note that 0! = 1

Therefore,  the result of the evaluation of the expression 11! / 9!(11-9)! is 55

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Answer:

Step-by-step explanation:

yes, it is a function

Answer: no

Step-by-step explanation: you have -2,-5 and -2,0 you cant have 2 or more x values that are the same.

The linear equation to represent the total cost c =  2.25s + 1,347.85.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Using slope

slope= ( 5847. 75 - 4074 . 85)/( 2000- 1200)

slope= 1800 - 800

slope= 2.25

and, slope- intercept form

c - 4047.85 = 2.25 ( s- 1200)

c - 4047.85 = 2.25s - 2700

c = 2.25s - 2700 + 4047.85

c =  2.25s + 1,347.85

Hence,  linear equation to represent the total cost c =  2.25s + 1,347.85.

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Answer:

option c this is no solution for the equations

Answer:

x=5 y=-8 the calc are in the photo

The distance of the intersection of 3 perpendicular bisectors of a triangle to  the 3 vertices are equal.

In other words, HF = HE = HG.

Therefore, we see that 3 isosceles triangles are identified : HFE, HFG, HGF.

We're given HF = 15, therefore HE = 15.

Since HJ is the perpendicular bisector of line EG, JE = JG.

Therefore, JE = 12.

Now, we use the Pythagorean theorem in the right triangle HJE :

[tex]HE^{2} = HJ^{2} + JE^{2} - > HJ = \sqrt{15^{2} - 12^{2} } =\sqrt{81} = 9.[/tex]

Ester, Sarai, and Kurry each selected a number: 0.009, 0.09, and 0.9, respectively.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes. For instance, 3+3+3+3+3 can be expressed as 3 5.

the ester's number is equal to one-tenth of the Sarai number.

= 1 / 10 × 0.09 = 0.009

to determine Kurry's number, multiply Sarai's number by 10

= 10 × 0.09 = 0.9

Therefore, it can be inferred that Kurry chose 0.9, Ester chose 0.009, and Sarai chose 0.09.

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The dimensions required to minimize the cost of fencing is 180ft and 360 ft.

According to question

The cost of fence on opposite side of river is $40.

The cost of fence on other sides of river is $10.

Total yield = 64800 sq. feet

Let the length of fence on the opposite side of fence be x and width of fence on the other side be y.

Area of fence = xy = 64800 sq feet

⇒ [tex]y = \frac{64800}{x}[/tex]

Let C be the cost of making fence.

For cost to be minimum, dC/dx should be equal to zero.

C = 40x + 10y * 2

⇒ C = [tex]40x + 10(\frac{64800}{x})*2[/tex]

⇒ [tex]\frac{dC}{dx} = 40 + 20 * 64800 * \frac{-1}{x^{2} } = 0[/tex]

⇒ [tex]40x^{2} = 20 * 64800[/tex]

⇒ [tex]x^{2} = 32400[/tex]

⇒ [tex]x = 180[/tex]

⇒ [tex]y = \frac{64800}{180} = 360[/tex]

So, the dimensions needed will be 180 ft and 360 ft.

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Answer:

y ≥ -5 and y > 7

Step-by-step explanation:

Collect like terms

-y ≤ 8 - 3

-y ≤ 5

Divide both sides by -1

-1y/-1 ≤ 5/-1

y ≥ -5

And

y > 9 - 2

y > 7

Extend the compass from point T to little more than the midpoint of ST in such a way the arc drawn touches the point R. Similar is to be done from point S. Draw a line through the cut made by the 2 arcs at R.

Answer:

y = -x + 4

Step-by-step explanation:

The equation of a line follows the form y=mx+c, where x and y are the coordinates, c is the y-intercept (the value of x where the line crosses the y-axis), and m is the slope.

We are given two points/coordinates - (-3,7) and (1,3) - so we know the following is true for our equation:

7=-3m+c

3=m+c

Rearranging the second equation above, we get c=3-m. Sub this into the first one, and we get

7=-3m+3-m

4=-4m

m=-1

Knowing c=3-m, we can say c=3-(-1)=3+1=4

Having found values for m and c, we can now write our equation:

y = -x + 4

Hope this helps :)

Answer:

324 cm²

Step-by-step explanation:

area of a square = L x L = L²

L = 18cm

(18cm)² = 18cm x 18cm = 324 cm²

Answer:

6cm square

Step-by-step explanation:

The height of the tree is 13.2 m.

What is proportional ?

 The concept of proportionality in mathematics denotes the linear relationship between two quantities or variables. The size of one item increases by twofold, whereas the size of the other quantity decreases by one-tenth of the earlier amount.  

We can set up a proportion comparing the height of each object to the length of the shadow.

Then , [tex]\frac{h}{s}[/tex].

=> [tex]\frac{3.8}{1.3} = \frac{h}{4.5}[/tex]

=> h = [tex]\frac{3.8*4.5}{1.3}[/tex]

=> 13.2 m.

Hence the height of the tree is 13.2 m.

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The value of the expression −2(42−7)+(−5) is -75.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Addition, subtraction, multiplication, and division are all possible mathematical operations.

In this case, we want to calculate the value of the expression:

−2(42−7)+(−5)

= -2(35) + (-5)

= -70 - 5

= -75

The value is -75.

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Answer:

the mistake was in subtracting 21.6 from 13.8

Step-by-step explanation:

the answer was suppose to be -7.8 and not 35.4

Answer:

the mistake was in subtracting 21.6 from 13.8

Step-by-step explanation

the answer was suppose to be -7.8 and not 35.4

The coordinates of the vertices after a rotation 270° counterclockwise around the origin is

T' = (-8, -4)

U' = (-8, -6)

V' = (-3, -9)

W' = (-3, -7)

The coordinates of T = (4, -8)

The coordinates of U = (6, -8)

The coordinates of V = (9, -3)

The coordinates of W = (7, -3)

The rule of rotating 270 degree clockwise around the origin is

P(x, y) = P'(y, -x)

The coordinates of T' = (-8, -4)

The coordinates of U' = (-8, -6)

The coordinates of V' = (-3, -9)

The coordinates of W' = (-3, -7)

Hence, The coordinates of the vertices after a rotation 270° counterclockwise around the origin is

T' = (-8, -4)

U' = (-8, -6)

V' = (-3, -9)

W' = (-3, -7)

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Answer: y intercept is -1

Step-by-step explanation:

The probability to win two or more tickets in the lottery is 0.118

It is given that there is a 5% chance to win a lottery ticket.

Therefore, the probability to win a lottery ticket is

0.05

The girl here plays the game 12 times. The above distribution is clearly a Binomial Distribution

ⁿCₓ  X  pˣ  X  (1 - p)ⁿ⁻ˣ

We need to calculate the probability to win 2 or more tickets

= 1 - the probability to win at least one ticket

= 1 - P(X = 0) + P(X = 1)

here,

p = 0.05

1 - p = 0.95

n = 12

P(X = 0)

= ¹²C₀  X  0.05⁰  X  0.95¹²

= 0.54036

P(X = 1)

= ¹²C₁  X  0.05¹  X  0.95¹¹

= 0.34128

Hence we get

P(X ≥ 2) = 1 - 0.54036 - 0.34128

= 0.118

Therefore, we get the probability that the person will win 2 or more tickets to be 0.118

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Answer:

you have to add x outside of the parentheses

Step-by-step explanation: hope this helps

Answer:

477,577 lb

Step-by-step explanation:

Volume of sphere:

V = (4/3)πr³

V = (1/2)(4/3)(3.14159)(14 ft)³ = 5,747.015 ft³

d = 83.1 lb/ft³

W = Vd

W = 5,747.105 ft³ × 83.1 lb/ft³

W = 477,577 lb

Answer:

Step-by-step explanation:

5 + 4 × 3 - 2

9 × 3– 2 =

27–2 = 25

Answer:

For x = -2, y would equal -3.

For x = -1, y would equal -2.

For x = 0, y would equal -1.

For x = 1, y would equal 0.

For x = 2, y would equal 1.

Step-by-step explanation:

So what we have to do is plug in the x-values from the table into the equation.

1) y = -2 -1 => y = -3

2) y = -1 - 1 => y = -2

3) y = 0 - 1 => y = -1

4) y = 1 - 1 => y = 0

5) y = 2 - 1 => y = 1

(4, 1) is the solution for the given inequalities

Given,

The system of inequalities;

3x + y ≤ 14

3x + 5y < 19

We have to find that (4, 1) is a solution to the given system of inequalities;

So,

(x, y) = (4, 1)

Then,

Substitute the values of x and y in the equation;

3x + y ≤ 14

3 x 4 + 1 ≤ 14

12 + 1 ≤ 14

13 ≤ 14

Next,

3x + 5y < 19

3 x 4 + 5 x 1 < 19

12 + 5 < 19

17 < 19

Here,

(4, 1) is the solution for the given inequalities

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The length AB of rectangle in terms of x is (4 + x) and values of a and b are 10 and 4.

The side AB measures (4 + x). Hence, the length of AB in terms of x is (4 + x).

The area of rectangle is calculated by the formula-

Area = length × breadth

Keep the values in formula -

28 = (4 + x) (6 + x)

Performing multiplication of both brackets with each other

28 = 24 + 4x + 6x + x²

Solving and rewriting the equation

x² + 10x = 4

Equation in question - x² + ax = b

Comparing both the equations, we get a = 10 and b = 4.

Thus, length of AB is (4 + x) and value fo a is 10 and b is 4.

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