In the diagram, roads a and b are parallel.
Solve for x and find the measure of VTU.

The number or visitors that will be expected to to have no custume is 565.

From the information, the following can be deduced:

244 visitors purchased no costume.

161 visitors purchased exactly one costume.

31 visitors purchased more than one costume.

The fraction for those with no custume will be:

= 244 / (244 + 161 + 31)

= 244/436

When there are 1100 visitors, those expected with no custume will be:

= 224/436 × 1100

= 565

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Answer:

616

Step-by-step explanation:

Answer:

x=24

Step-by-step explanation:

Hi there!

We are given the following proportion:

\(\frac{2}{10}=\frac{3}{x-9}\)

And we want to solve for x.

First, let's reduce \(\frac{2}{10}\), as reducing fractions typically makes the process easier

\(\frac{2}{10}\) is the same as \(\frac{1}{5}\)

So:

\(\frac{1}{5}=\frac{3}{x-9}\)

We can't do anything to \(\frac{3}{x-9}\), but that's okay.

Now we can cross multiply, as this is a proportion

Multiply x-9 by 1 and 3 by 5

1(x-9)=3(5)

Multiply

x-9=15

Now this is an equation

Our goal is to isolate x on one side

So let's add 9 to both sides to remove it from the left side

x-9=15

 +9 +9

_________

x=24

Hope this helps!

Answer:

24

Step-by-step explanation:

Cross multiply:

2(x - 9) = 2x - 18

3(10) = 30

2x-18 = 30

   +18   +18

-----------------

  2x = 48

 -----   -----

   2       2

     x = 24

Hope this helped.

Therefore, there are 156 numbers consisting of 1, 2, or 3 digits that can be formed using the digits 1, 2, 3, 4, 5, 6 without repetitions.

We need to find the number of numbers consisting of 1, 2, or 3 digits that can be formed using the digits 1, 2, 3, 4, 5, 6 without repetitions.

1-digit numbers: There are 6 choices for the first digit.

2-digit numbers: There are 6 choices for the first digit, and 5 choices for the second digit (since we cannot repeat the first digit).

3-digit numbers: There are 6 choices for the first digit, 5 choices for the second digit (since we cannot repeat the first digit), and 4 choices for the third digit (since we cannot repeat the first or second digit).

Therefore, the total number of numbers that can be formed is:

1-digit numbers: 6

2-digit numbers: 6 x 5 = 30

3-digit numbers: 6 x 5 x 4 = 120

The total number of numbers is the sum of these:

6 + 30 + 120 = 156

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Answer:

9

Step-by-step explanation:

Answer:

the unit price on is $2.50

Step-by-step explanation:

61.5÷24.60

Assuming Ryan buys 61.5 ounces of lemonade for $24.60. The unit price is: $0.4.

Using this formula

Unit pice=Cost price/ Ounces of lemonade

Where:

Cost price=$24.60

Ounces of lemonade=6.15 ounces

Let plug in the formula

Unit price=$24.60/6.15

Unit price=$0.4

Therefore the unit price is: $0.4.

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Given:

Loss of 17 yards.

To find:

The integer for given situation.

Solution:

Integers are the complete numbers without a decimal or fractional value. Integers can be positive, negative or zero.

Zero : No change.

Negative integers : Decrease in any value.

Positive integers : Increase in any value.

Loss of 17 yards means decrease in value by 17 yards.

So, required integer for the situation is -17. Here, negative sign is used for  decrease in yards.

Therefore, the required integer is -17.

answer=To find the constant of proportionality, we need to determine the rate at which the total cost changes with respect to the number of tickets purchased.

We can use the information given in the table to find the slope of the line that represents this relationship.

Using the points (8, 2.00) and (12, 3.00), we can calculate the slope as:

slope = (3.00 - 2.00) / (12 - 8) = 0.25

Using the points (12, 3.00) and (20, 5.00), we get the same result:

slope = (5.00 - 3.00) / (20 - 12) = 0.25

Using the points (20, 5.00) and (30, 7.50), we get:

slope = (7.50 - 5.00) / (30 - 20) = 0.25

Using the points (30, 7.50) and (50, 12.50), we get:

slope = (12.50 - 7.50) / (50 - 30) = 0.25

Since the slope is the same for all pairs of points in the table, we can conclude that the relationship between total cost and number of tickets purchased is a linear relationship, and the constant of proportionality (the rate of change of y with respect to x) is:

0.25 dollars/ticket then the answer is B

Answer:3.00

Step-by-step explanation:

Answer:If a variable is connected to a number by multiplication at one side the linear equation, then try its inverse operation division at both left and right-hand sides of the equation for solving the variable. 4 x = 24 In this example, the number 4 is multiplied to variable x.

Step-by-step explanation:

The amount accumulated after investing a principal P for t years at an interest rate compounded annually is  $46,057.58.

Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Therefore, let's find the amount accumulated after investing a principal P for t years at an interest rate compounded annually.

\(A = p(1 + \frac{r}{n} )^{nt}\)

where

p = 15,500

r = 9.5%

t = 12

n = 1

\(A = 15500(1 + \frac{0.095}{1} )^{1(12)}\)

A = 15,500.00(1 + 0.095)¹²

A = $46,057.58

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$46,057.58, answer for acellus

Step-by-step explanation:

the circumference of a circle is

c = 2×pi×r

with r being the radius.

the diameter of a circle is always twice its radius.

circle A

2 2/3 = 8/3 = 2×pi×r

4/3 = pi×r

r = 4/3 / pi = 4/(3×pi) = 0.424413182... m

the diameter is then : 0.848826363... m

the diameter of B is 1.5 times the diameter of A :

1.273239545... m

therefore, the radius of B is 0.636619772... m

and so, the circumference of B is

2×pi×0.636619772... = 4 m

of course, if we had considered that both diameter and circumference are in linear dependence (see the formula for the circumference), we could get the result much faster. if the diameter increases 1.5 times, then also the circumference increases 1.5 times :

2 2/3 = 8/3 × 1.5 = 8/3 × 3/2 = (8×3)/(3×2) = 8/2 = 4 m

The addition equation to represent Jackson's net change in money is x + (-y) = 4.63

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Jackson receives 4.63 as his change at the grocery store. He places it into a charity donation jar at the register.

WE need to Write an addition equation to represent Jackson's net change in money.

Given that :

The change received = 4.63

The Net change in money :

Let initial amount before purchase is represented by  x

The Cost of item purchased = y (negative as it is incurred)

The Net change in money:

Initial amount + cost of item purchased = change received

x + (-y) = 4.63

Therefore, an addition equation to represent Jackson's net change in money is x + (-y) = 4.63

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Answer:

He bought 12 books.

Step-by-step explanation:

Here is your equation: 6 b+3=75

Step 1- Subtract 3 from both sides: 6 b+3-3=75-3

6 b=72

Step 2- Divide by 6: 6 b/6=72/6

b = 12 books in total.

Answer:5

Step-by-step explanation:

calculate

Step-by-step explanation:

i think its as

g(x)=2x-12

7=2x-12

7+12=2x

19=2x

x=19

2

i hope so,

Answer:

Step-by-step explanation:

Sum of all angles of triangle = 180

90 + 50 +10x = 180     {Combine like terms}

  140 + 10x = 180    {Subtract 140 from both sides}

             10x = 180 - 140

             10x = 40 {Divide both sides by 10}

                x = 40/10

x = 4

Answer:

Volume of square pyramid = 330.24 inches³

Step-by-step explanation:

Question No 20

Base of Square Pyramid = 8 inches

Height of Square Pyramid = 15.5 inches

We need to determine the volume of pyramid.

The formula used is: \(Volume\:of\:Square\:Pyramid=a^2\times \frac{h}{3}\)

Putting values of base and height of pyramid and finding volume

\(Volume\:of\:Square\:Pyramid=a^2\times \frac{h}{3}\\Volume\:of\:Square\:Pyramid=(8)^2\times \frac{15.5}{3}\\Volume\:of\:Square\:Pyramid=64 \times 5.16\\Volume\:of\:Square\:Pyramid=330.24\:inches ^3\)

So, Volume of square pyramid = 330.24 inches³

NSWER :

he answer is between 6 and 9

EXPLANATION :

room the problem, we have a graph with distance vs time.

Note that the steeper the line in the graph, the faster the speed or rate.

Looking at the graph, the steepest part is when the time is between 6 and 9

Answer: C. Interest

Step-by-step explanation: just took the quiz.

I stand for Interest in PITI.

Interest is the price you pay to borrow money or the cost you charge to lend money.

Interest is most often reflected as an annual percentage of the amount of a loan.

Capital, interest, taxes and insurance, known as PITI (for its acronym), are the four basic elements of a monthly mortgage payment.

Capital and interest payments are used to pay the loan. The amount covered by the property tax and home insurance can be deposited in an escrow account or escrow account, if you are required to have one or have decided to open it, in order to cover the payments of such property taxes and homeowners insurance. housing as they expire.

Hence, I stand for Interest in PITI.

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a. In a random sample of 1,000 births, the expected number of births that take place by Caesarian section is:

E(X) = n*p = 1,000 * 0.32 = 320 births

Therefore, on average, 320 births out of 1,000 will take place by Caesarian section.

b. The variance of the number of Caesarian section births in a sample of 1,000 births is:

Var(X) = np(1-p) = 1,000 * 0.32 * (1-0.32) = 217.60

The standard deviation is the square root of the variance:

SD(X) = sqrt(Var(X)) = sqrt(217.60) = 14.76

Therefore, the standard deviation of the number of Caesarian section births in a sample of 1,000 births is 14.76.

c. To form an interval that is likely to contain the number of Caesarian section births in a sample of 1,000 births, we can use the normal distribution and the central limit theorem. Since n*p = 320 is greater than 10, we can assume that the distribution of the number of Caesarian section births in a sample of 1,000 births is approximately normal.

The 95% confidence interval for the number of Caesarian section births is:

320 ± 1.96*(14.76) = (291.16, 348.84)

Therefore, we can be 95% confident that the number of Caesarian section births in a sample of 1,000 births will be between 291 and 349.

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Answer:

Step-by-step explanation:

Since all 3 of these angle come off a straight line, they all add up to equal 180. Thus,

2j + 32 + 6j - 2 + 30 = 180 and

8j + 60 = 180 and

8j = 120 so

j = 15

the magnitude of the sum of the three vectors V1, V2, and V3 is approximately 6.3.

To find the magnitude of the sum of the three vectors V1, V2, and V3, we first need to find the sum of the individual components of the vectors and then calculate the magnitude of the resulting vector.

Given:

V1 = 7.0i - 8.0j

V2 = i + j

V3 = -2.0i + 5.0j

To find the sum of the vectors, we add their corresponding components:

\(V_sum = V1 + V2 + V3\)

      = (7.0i - 8.0j) + (i + j) + (-2.0i + 5.0j)

      = 6.0i - 2.0j

Now, let's calculate the magnitude of the sum vector, V_sum:

\(|V_sum| = \sqrt{((6.0)^2 + (-2.0)^2)\)

      \(= \sqrt{(36.0 + 4.0)\)

       \(= \sqrt{(40.0)\)

       ≈ 6.3 (rounded to two significant figures)

Therefore, the magnitude of the sum of the three vectors V1, V2, and V3 is approximately 6.3.

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Answer:

x=3

Step-by-step explanation:

3x-5x+25= 5x+4

-2x+25=5x+4

+2x.      +2x

25=7x+4

-4.      -4

21=7x

/7. /7

3=x

Hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

3x - 5(x -5) = - 3 + 5x + 7

3x - 5x + 25 = 4 + 5x

3x - 5x -5x = 4 - 25

-7x = -21

x = -21 : (-7)

x = 3

The number of books in her summer reading list is = 20

The number of books that has been read by Emma = 14

The percentage of books that has been read by Emma  = 70%

But the percentage of books in Emma summer reading list = 100%

∴ The number of books in her reading list= ˣ

That is ;

           70% = 14

          100% = ˣ

Make ˣ the subject of formula,

            ˣ = 100 × 14 / 70

            ˣ = 20

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Answer:

a=10

Step-by-step explanation:

The question can be interpreted as

F∝a

If we introduce proportionality constant k, we have

F= k.a

28= k. 7

k= 28/7

k= 4

Then the equation can be written as

F= 4.a

To find, a when F = 40?

F= 4.a

40=4 × a

a= 40/4

a= 10

Answer:

J = 124

Step-by-step explanation:

The angle ofis suplementary so

j+56=180

Step 1 Subtract 56 from both sides.

j+56−56=180−56

j=124

Answer:

t=3.5 seconds

Step-by-step explanation:

Given

h(t) = −16t^2 + 111t + 0

h'(t)= -32t + 111

Maximum height occurs when h(t) = 0 and the ball begins to fall

h(t)= -32t + 111=0

-32t + 111=0

-32t=-111

Divide both sides by -32

t=3.46872

Approximately, t=3.5 seconds

Recall,

Maximum height occurs when h(t) = 0

h(t)= -32t + 111=0

= -32(3.46872)+111

= -110.99904+111

= 0.00096 ft

Answer:

70 ft

step-by-step explanation:

perimeter of rectangle = 2 ( length + width )

2(20+15)

2(35)

70

Answer:

-----------------------------------------------------------

length = 20

width = 15

perimeter of rectangle is 2 (l+b)

2( 20 + 15 )

= 70 feet answer