I need help with this question, Please

Answer:

is this helpful i hope it is

Given the following equation:

You can solve for the variable "y" in terms of "x" by following the steps shown bellow:

1. You can rewrite the fraction as a decimal number, by dividing the numerator by the denominator:

2. Apply the Distributive property, which states that:

Then:

3. Apply the Division property of equality by dividing both sides of the equation by 0.75:

Therefore, the equation solved for "y" in terms of "x", is:

Answer:

80m

Step-by-step explanation:

(20x2) =40m + 40m= 80m

The values for a and b in the expression for the area of the rhombus, a·√b, where the area of the regular hexagon that forms the rhombus that has an area of 24·√3, are; a = 8, b = 3

a + b = 8 + 3 = 11

A rhombus is a quadrilateral in which the length of the each of the four sides are the same.

Coprime integers integers are two integers that have 1 as their only common divisor

The area of the hexagons = 24·√3

The formula for the area of regular  hexagon, A = 3·√3×s²/2

Where;

s = The sider length of the regular hexagon

Therefore; 24·√3 = 3·√3×s²/2

The division property indicates that dividing booth sides of the above equation by √3, we get;

24 = 3×s²/2

2 × 24/3 = s²

16 = s²

s² = 16 (symmetric property)

s = ±√(16) = ±4

The possible value for the side length of the regular hexagon is +4

The formula for the area of a rhombus = s²·sin(θ)

Where;

θ = The interior angle of a regular hexagon = 120°

Therefore; A = 4² × sin(120°) = (16 × √3)/2 = 8·√3

Therefore; a·√b = 8·√3

a = 8, b = 3

a + b = 8 + 3 = 11

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Answer:

Let's denote the total cost as C and the number of hours as h. The equation to model this relationship can be written as:

C = 5 + 0.25(h - 2)

The first part, 5, represents the flat rate for 2 hours or less. The second part, 0.25(h - 2), represents the additional hours beyond 2 hours, where each hour costs $0.25.

To calculate the cost of parking for 10 hours, we can substitute h = 10 into the equation:

C = 5 + 0.25(10 - 2)

C = 5 + 0.25(8)

C = 5 + 2

C = $7.00

Therefore, you would have to pay $7.00 to park for 10 hours.

To find out how many hours $10 will buy, we can set the equation equal to $10 and solve for h:

10 = 5 + 0.25(h - 2)

0.25(h - 2) = 10 - 5

0.25(h - 2) = 5

h - 2 = 5 / 0.25

h - 2 = 20

h = 20 + 2

h = 22

Therefore, $10 will buy you 22 hours of parking

Answer:

The length of the radius is 2.95 units

The  length of the radius of the circle is 2.95 units.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that  blue segment below is a diameter of O

Diameter is five point nine.

We need to find the radius of the given circle.

Radius is equal to diameter by two

Radius= Diameter/2

Now put value of diameter in the above formula

Diameter = 5.9

Radius =5.9/2

=2.95

Hence, the  length of the radius of the circle is 2.95 units.

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9514 1404 393

Answer:

  x = 40

Step-by-step explanation:

The angle bisector divides corresponding sides proportionally.

  x/16 = 25/10

  x = 16(25/10) . . . . . multiply by 16

  x = 40

Alto earned $200 while Sheryl earned $300 over the summer.

An equation is an expression that shows the relationship between two or more numbers and variables.

Consider x represent the amount of money earned by Alto and y represent the amount of money earned by Sheryl

Together they earned a total of $500.

Hence the system of equations for the situation

x + y = 500 (1)

Sheryl earned $100 more than Alto:

y = x + 100

-x + y = 100(2)

Using Substitution to solve the system.

Solving equations 1 and 2 simultaneously gives:

x = 200 , y = 300

Therefore Alto earned $200 while Sheryl earned $300 over the summer.

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Answer:

Step-by-step explanation:

You want to know the amount borrowed at 10%, 12%, and 14% if the total borrowed was $21000, the total interest was $2580, and the total of amounts borrowed at 10% and 14% was double the amount borrowed at 12%.

The relations give rise to three equations. If we let x, y, z represent the respective amounts borrowed at 10%, 12%, and 14%, we have ...

  x + y + z = 21000 . . . . . . total borrowed

  0.10x +0.12y +0.14z = 2580 . . . . . . total interest

  x + y = 2z . . . . . . . . . . . relationship between amounts

Writing the last equation as ...

  x -2y +z = 0

we can formulate the problem as a matrix equation and use a solver to find the solution. We have done that in the attachment. It tells us the amounts borrowed are ...

__

Additional comment

Recognizing that the amount at 12% is 1/3 of the total, we can use that fact to rewrite the other two equations. The interest on the $7000 at 12% is $840, so we have ...

These two equations have the solution shown above. (It is usually convenient to solve them by substituting for x in the second equation.)

<95141404393>

Answer: the answer is 21

Step-by-step explanation:

If one angle measures 170°, and another angle measures (6k + 44)° and both are vertical angles that means the second angle should be the same as the first angle.

Vertical angles are congruent meaning they have an equal measure.

Now we have to find k

(6k + 44) = 170

subtract 44 - 44 and 170 - 44

(6k) = 126

divide 6 by 6, that leaves with just k on the left.

126 divided by 6  equals to 21

k = 21

Hope this helps!

Answer:

Yes

Step-by-step explanation:

She just distributed the 3 to the (2+x). If you multiple each by 3, you'll get 6+3x.

Answer:

Yes

Step-by-step explanation:

3 and 6 are multiples so yes they are equivalent

X= 1 , X= –7

I hope I helped you^_^

Betty will have 10 bracelets of blue shiny round stones.

Given the following:

Betty brought 140 shiny blue round stones which cost 8 dollars.

We have a total of 140 blue round stones.There are 14 pieces of stones in each bracelet, so we will divide the total number of stones by the number of stones per bracelet to determine the number of bracelets.

There are 140 / 14 = 10 bracelets made from blue shiny round stones.

Therefore, there will be 10 bracelets of blue shiny round stones.

In conclusion, there will be 10 bracelets of blue shiny round stones with the given details.

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The values of the domain of the graph which is as described by the given table are; {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

It follows from the task content that the set of values which represents the domain of the function is to be determined.

As evident from the given table, it follows that the Average growth of horse which represents the rate of change of the graph is quantified in (cm / year).

Consequently, the ages represent the input values and hence, the domain of the function in discuss is; {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

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Answer: 7t-22

Step-by-step explanation:

Did this question in my notes lol

every $5 bet on red, you can expect to lose about 26 cents. In other words, the casino has an edge over the player in roulette, as the expected value of each bet is negative.

The probability of winning a bet on red is 18/38, and the probability of losing is 20/38. If you win, you receive $5 in addition to the return of your original bet. If you lose, you lose the entire $5. Therefore, the expected net winnings for a $5 bet on red can be calculated as follows:

Expected net winnings = (Probability of winning × Amount won) – (Probability of losing × Amount lost)
Expected net winnings = (18/38 × $5) – (20/38 × $5)
Expected net winnings = -$0.263

This means that on average, for every $5 bet on red, you can expect to lose about 26 cents. In other words, the casino has an edge over the player in roulette, as the expected value of each bet is negative.

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Coordinate of circumcenter of the given triangle = (3, 2)

What is circumcenter of a triangle?

Circumcenter of a triangle is the point of intersection of the perpendicular bisectors of every sides of the triangle.

Let the coordinate of circumcenter be (x , y)

Distance of Circumcenter from (4,2) =

\(\sqrt{(x - 4)^2 + (y-2)^2\)

Distance of Circumcenter from (3, 3) =

\(\sqrt{(x - 3)^2 + (y-3)^2\)

Distance of Circumcenter from (2,2) =

\(\sqrt{(x - 2)^2 + (y-2)^2\)

By the problem,

\(\sqrt{(x - 2)^2 + (y-2)^2} = \sqrt{(x - 3)^2 + (y-3)^2}\\(x - 2)^2 + (y-2)^2} = (x - 3)^2 + (y-3)^2}\\x^2 - 4x + 4 + y^2 -4y + 4 = x^2 -6x + 9 + y^2-6y + 9\\6x - 4x +6y -4y = 18-8\\2x +2y = 10\\x+ y = 5\\\)..... (1)

Again,

\(\sqrt{(x - 4)^2 + (y-2)^2} = \sqrt{(x - 3)^2 + (y-3)^2}\\(x - 4)^2 + (y-2)^2} = (x - 3)^2 + (y-3)^2}\\x^2 - 8x + 16 + y^2 -4y + 4 = x^2 -6x + 9 + y^2-6y + 9\\8x - 6x +4y -6y = 20-18\\2x -2y = 2\\x- y = 1\\\)...... (2)

Adding (1) and (2)

\(2x = 6\\x = \frac{6}{2}\\x = 3\)

Putting the value of x in (1),

3 + y = 5

y = 5 - 3

y  = 2

Coordinate of circumcenter = (3, 2)

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f⁻¹(17)f⁻¹(17) = (17² - 18(17) + 81) / 2= (289 - 306 + 81) / 2= 64 / 2= 32.∴ f⁻¹(17) = 32.

Given the function f(x) = √(2x) + 9, we have to find f⁻¹(x) for x = 17.

To find f⁻¹(x) for x = 17, we have to follow the below steps:

Step 1: Replace f(x) with y. Now, we have y = √(2x) + 9.

Step 2: Interchange x and y. That is, x = √(2y) + 9.

Step 3: Now, isolate y from the equation in step 2 and find f⁻¹(x).x = √(2y) + 9x - 9 = √(2y)

Squaring both sides of the equation

x² - 18x + 81 = 2yy = (x² - 18x + 81) / 2Therefore, f⁻¹(x) = (x² - 18x + 81) / 2.

Now, we have to find f⁻¹(17)f⁻¹(17) = (17² - 18(17) + 81) / 2= (289 - 306 + 81) / 2= 64 / 2= 32.∴ f⁻¹(17) = 32.

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The probability that more than the expected number of Sikh youths wear a turban in a random sample of five is 0.3671 (rounded to 4 decimal places).

a. Using the binomial distribution formula, we can determine the likelihood that two out of a random sample of five Sikh teenagers are turban-wearing:

\(P(X = 2) = (5 pick 2) (5 choose 2) * (0.75)^3 * (0.25)^2\)

"X" indicates the proportion of Sikh adolescents who wear turbans, "5 choose 2" indicates the number of possible methods to select 2 Sikhs from a group of 5, and "0.75" and "0.25" indicate the likelihoods that a Sikh youngster will not be wearing a turban and will be wearing one, respectively.

This expression can be made simpler by using a calculator to become:

P(X = 2) = 10 * 0.421875 * 0.0625 = 0.2659

Hence, 0.2659 percent chance exists that two out of every five Sikh youngsters in a random sample will be turban-wearing (rounded to 4 decimal places).

Using the complement rule, we can determine the likelihood that two or more of a random sample of five Sikh teenagers are wearing turbans:

P(X >= 2) = 1 - P(X 2)

where X is the proportion of young Sikhs who are turban-wearing.

P(X 2) is the likelihood that fewer than 2 of five Sikh teenagers chosen at random will be turban-wearing.

This can be calculated as:

P(X 2) equals P(X = 0) plus P(X = 1).

P(X = 0) = (5 select 0) * (0.75) * (5 select 0) * (0.25) * 0 = 0.2373

P(X = 1) = (5 select 1) * (0.75) * (4 select 1) * (0.25) * 1 = 0.3956

P(X 2) = 0.2373 + 0.3956 = 0.6329 as a result.

We can then compute P(X >= 2) = 1 - 0.6329 = 0.3671 using the complement rule.

Consequently, there is a 0.3671 percent chance that two or more of five Sikh teenagers chosen at random will be turban-wearing (rounded to 4 decimal places).

c. The following formula can be used to determine how many Sikh teenagers in a random sample of five are likely to wear a turban:

E(X) = n * p = 5 * 0.25 = 1.25

Using the cumulative binomial distribution function, we can determine the likelihood that more Sikh teenagers than predicted in a random sample of five wear turbans:

P(X > 1) = 1 - P(X <= 1)

P(X = 1) equals P(X = 0) plus P(X = 1).

P(X = 0) = (5 select 0) * (0.75) * (5 select 0) * (0.25) * 0 = 0.2373

P(X = 1) = (5 select 1) * (0.75) * (4 select 1) * (0.25) * 1 = 0.3956

Therefore,

P(X <= 1) = 0.2373 + 0.3956 = 0.6329

The complement rule can then be used to determine:

P(X > 1)

P(X > 1) = 1 - 0.6329 = 0.3671

Hence, in a random sample of five Sikh adolescents, the likelihood that there are more turban-wearing Sikh youths than expected is 0.3671. (rounded to 4 decimal places).

d. To determine the likelihood that more than predicted will occur.

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Answer:

4900m²

Step-by-step explanation:

Area of rectangular plot = lxb

=100x90

=9000m²

Area of beans = lxb

=40x80

=3200m²

Area of sukumawiki = lxb

=30x30

=900m²

Area of maize = Total area - Area of beans - Area of sukumawiki

=9000-3200-900

=4900m²

The side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are comparable to two sides and an included angle of another triangle, is the first of these theorems.

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.

Slide, twist, flip, and turn these triangles to create an identical appearance.

They are in alignment with one another when moved.

The first such theorem is the side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are equivalent to two sides and an included angle of another triangle.

Therefore, the side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are comparable to two sides and an included angle of another triangle, is the first of these theorems.

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About $684.08 billion will be spent on restaurants in 2016 if the trend continues.

The amount of money spent at restaurants in a certain country since 2004 has increased at a rate of 8% per annum. In 2004, about $280 billion was spent at restaurants.

To solve this problem, use the formula below to calculate the amount of money spent on restaurants in 2016:P = P₀ (1 + r)ⁿ

Where P is the amount spent on restaurants in 2016, P₀ is the initial amount spent in 2004, r is the rate of increase, and n is the number of years from 2004 to 2016.

We know that P₀ = $280 billion, r = 8% = 0.08, and n = 2016 - 2004 = 12.

Substituting these values into the formula:P = $280 billion (1 + 0.08)¹²P = $280 billion (1.08)¹²P = $280 billion (2.441)P ≈ $684.08 billion

Therefore, about $684.08 billion will be spent on restaurants in 2016 if the trend continues.

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Answer:

Your answer will be y=x2−12x+32

Step-by-step explanation:

Step 1 : x = 4 and  x = 8 are the two real distinct solutions for the quadratic equation, which means that  x − 4  and  x − 8 are the factors of the quadratic equation. ( x − 4 ) ( x − 8 ) = 0

Step 2: Expand  ( x − 4 ) ( x − 8 ) using the FOIL Method. x ⋅ x + x ⋅ − 8 − 4 x − 4 ⋅ − 8 = 0

Which would give you x2 − 12 x + 32 = 0

Step 3: The standard quadratic equation using the given set of solutions

{ 4  , 8 } is y = x 2 − 12 x + 32 .

This is you answer should be  

y = x 2 − 12 x + 32

Answer:

put 1 orange in each group and then cut the last in thirds and each group will have 1 and 1/3 oranges

Step-by-step explanation:

Answer:

48 (my sis did this)

correct option: 137

mark me brainleast:)

Step-by-step explanation:

We have to prove (cosA−sinA+1)/(cosA-sinA-) = cotA+cosecA using Trigonometric Functions

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

L.H.S=(cosA−sinA+1)/(cosA-sinA-)

dividing by sinA

=cotA+1−cosecA/cotA−1+cosecA

​=(cotA−1+cosecA)(cotA+1+cosecA)/(cotA+1)²-cosec²A

=(cotA+cosec)²-1/2cotA

=cotA+cosecA(R.H.S)

​Hence the above trigonometric function is proved.

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Answer:

x3=4=2

Step-by-step explanation:

Add like terms. I believe that's what you're going for...

Hope this helped :)

Answer:

153.45

Step-by-step explanation:

15.5 x 9.9 = 153.45

Answer:

All 90 rabbits are white.

Step-by-step explanation:

"112 times as many white rabbits as black rabbits"

112 · Black rabbits = White rabbits

"a cage with 90 rabbits ", "Each rabbit is either black or white."

Black rabbits + White rabbits = 90 rabbits

How many white rabbits are in the cage?

Intuitevely  we can see that all the 90 rabbits must be white,

since for 1 black rabbit will be join by 112 white ones.

We can calculate:

112 · Black rabbits = White rabbits

We can substitute the   Black rabbits by White rabbits/112

       Black rabbits + White rabbits = 90 rabbits

White rabbits/ 112 + White rabbits = 90 rabbits

                    113 White rabbits /112 = 90 rabbits

                               White rabbits = 112· 90/113 rabbits

                                 White rabbits = 10080/113 rabbits

                                 White rabbits ≈ 89.2 rabbits

                                 White rabbits ≈ 90 rabbits  (if we round up)