The acties director of the Community Center is planning a skaiing event for all the students at the local middle school. There are several skating rinks in the area, but the director does not know which one to use. Skate Fest charges a fee of $200 plus $3 per skater, while Roller Rama charges $5 per skater. ​

Answer:

c = 314

Step-by-step explanation:

c = d (3.14)

c = 100(3.14)

c = 314

hope this helps!!

Answer:

51

Step-by-step explanation:

4% as a decimal is 0.04, so you can just do 0.04 * 1275 = 51.

Answer:

-51

Step-by-step explanation:

ree

The next three letters in the sequence J F M A M J J A are S, O, N.

To find the next three letters in the sequence J F M A M J J A, we need to identify the pattern or rule that governs the sequence. In this case, the sequence follows the pattern of the first letter of each month in the year.

The sequence starts with 'J' for January, followed by 'F' for February, 'M' for March, 'A' for April, 'M' for May, 'J' for June, 'J' for July, and 'A' for August. The pattern repeats itself every 12 months.

Therefore, the next three letters in the sequence would be 'S' for September, 'O' for October, and 'N' for November.

About sequence here:

https://brainly.com/question/30262438

#SPJ11

The next three letters in the sequence "J F M A M J J A" are "S O N", indicating the months of September, October, and November.

The given sequence "J F M A M J J A" represents the first letters of the months in a year, starting from January (J) and ending with August (A). To find the next three letters in the sequence, we need to continue the pattern by considering the remaining months.

The next month after August is September, so the next letter in the sequence is "S". After September comes October, represented by the letter "O". Finally, the month following October is November, which can be represented by the letter "N".

Therefore, the next three letters in the sequence "J F M A M J J A" are "S O N", indicating the months of September, October, and November.

It is important to note that the given sequence follows the pattern of the months in the Gregorian calendar. However, different cultures and calendars may have different sequences or names for the months.

Learn more about: sequence

https://brainly.com/question/30262438

#SPJ11

Answer:

Step-by-step explanation:

Let the unknown number be x

\(75 \% \times x = 240 \\ \frac{75x}{100} = 240\)

Cross Multiply

\(75x \times 1 = 100 \times 240 \\ 75x = 24000\)

Divide both sides of the equation by 75

\( \frac{75x}{75} = \frac{24000}{75} \)

Simplify

\(x = 320\)

Answer:

320

Step-by-step explanation:

you would do \(\frac{75}{100}\)*x=240

then you would multiply both sides by 100 and then divide both sides by 75 which woud give you x=240*\(\frac{100}{75}\)

which would give you \(\frac{24000}{75}\)=x

which then simplifies down to 320

Answer:

35 cm

Step-by-step explanation:

As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,

The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:

2(length + width) = Perimeter

2(2x + x) = 21

2(3x) = 21

6x = 21

x = 21/6 = 3.5 cm

x = 3.5 cm

From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:

2(length + width) = Perimeter

2(3x + 2x) = Perimeter

Perimeter = 2(5x)

Perimeter = 10x

Perimeter = 10(3.5)

Perimeter = 35 cm

The value of ∠ABD is 20°.

In geometry, an angle bisector is a line that divides an angle into two equal angles. The term "bisector" refers to a device that divides an object or a shape into two equal halves. An angle bisector is a ray that divides an angle into two identical segments of the same length.

Given ∠ABC = 40°

and BD is angle bisector,

so ∠ABD  = ∠DBC

∠ABD  = 3x - 1

∠DBC = 34 - 2x

∠ABD  = ∠DBC

3x - 1 = 34 - 2x

3x + 2x = 34 + 1

5x = 35

x =7

∠ABD  = 3x - 1

∠ABD  =  3(7) - 1

∠ABD  = 20°

Hence value of ∠ABD  = 20°.

Learn more about bisector of angle;

https://brainly.com/question/12896755

#SPJ1

The money market account earns 8/4 = 2% interest per quarter.

In one year, there are 4 quarters.

so, the formula to calculate the balance after 8 years is:

A = P (1 + r/n)^(nt)

where A is the final balance, P is the principal (initial investment), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years the money is invested for.

Substituting in the given values,

A = 1000 (1 + .02)^(4*8)

A = 1000 (1.02)^32

A = 1000 (1.8587)

A = 1858.7

So after 8 years, Ed will have earned $1858.7.

2.2 = 2.6 - 0.4 is 1 standard deviation below the mean, and 3 = 2.6 + 0.4 is 1 standard deviation above it. Then by the empirical rule, the percentage of students with GPA between 2.2 and 3 is

Pr [2.2 ≤ X ≤ 3] = Pr [-1 ≤ Z ≤ 1] ≈ 68%

(where Z is normally distributed with mean 0 and s.d. 1)

Answer:

i have made it in pic above

Step-by-step explanation:

1) To draw triangle ABC, we start by drawing a line segment BC of length 6 cm. Then we draw an angle of 40° at point B, and an angle of 60° at point C. We label the intersection of the two lines as point A. This gives us triangle ABC.

```

C

/ \

/ \

/ \

/ \

/ \

/ \

/ \

/_60° 40°\_

B A

```

2) To find the measure of angle BAC, we can use the fact that the angles in a triangle add up to 180°. Therefore, angle BAC = 180° - 40° - 60° = 80°.

3) To show that ABD is an isosceles triangle, we need to show that AB = AD. Let E be the point where the bisector of angle BAC intersects AB. Then, by the angle bisector theorem, we have:

AB/BE = AC/CE

Substituting the given values, we get:

AB/BE = AC/CE

AB/BE = 6/sin(40°)

AB = 6*sin(80°)/sin(40°)

Similarly, we can use the angle bisector theorem on triangle ACD to get:

AD/BD = AC/BC

AD/BD = 6/sin(60°)

AD = 6*sin(80°)/sin(60°)

Since AB and AD are both equal to 6*sin(80°)/sin(40°), we have shown that ABD is an isosceles triangle.

4) To show that MD is the perpendicular bisector of AB, we need to show that MD is perpendicular to AB and that MD bisects AB.

First, we can show that MD is perpendicular to AB by showing that triangle AMD is a right triangle with DM as its hypotenuse. Since M is the midpoint of AB, we have AM = MB. Also, since ABD is an isosceles triangle, we have AB = AD. Therefore, triangle AMD is isosceles, with AM = AD. Using the fact that the angles in a triangle add up to 180°, we get:

angle AMD = 180° - angle MAD - angle ADM

angle AMD = 180° - angle BAD/2 - angle ABD/2

angle AMD = 180° - 40°/2 - 80°/2

angle AMD = 90°

Therefore, we have shown that MD is perpendicular to AB.

Next, we can show that MD bisects AB by showing that AM = MB = MD. We have already shown that AM = MB. To show that AM = MD, we can use the fact that triangle AMD is isosceles to get:

AM = AD = 6*sin(80°)/sin(60°)

Therefore, we have shown that MD is the perpendicular bisector of AB.

5) Finally, to show that DM = DN, we can use the fact that triangle DNM is a right triangle with DM as its hypotenuse. Since DN is the orthogonal projection of D on AC, we have:

DN = DC*sin(60°) = 3

Using the fact that AD = 6*sin(80°)/sin(60°), we can find the length of AN:

AN = AD*sin(20°) = 6*sin(80°)/(2*sin(60°)*cos(20°)) = 3*sin(80°)/cos(20°)

Using the Pythagorean theorem on triangle AND, we get:

DM^2 = DN^2 + AN^2

DM^2 = 3^2 + (3*sin(80°)/cos(20°))^2

Simplifying, we get:

DM^2 = 9 + 9*(tan(80°))^2

DM^2 = 9 + 9*(cot(10°))^2

DM^2 = 9 + 9*(tan(80°))^2

DM^2 = 9 + 9*(cot(10°))^2

DM^2 = 9 + 9*(1/tan(10°))^2

DM^2= 9 + 9*(1/0.1763)^2

DM^2 = 9 + 228.32

DM^2 = 237.32

DM ≈ 15.4

Similarly, using the Pythagorean theorem on triangle ANC, we get:

DN^2 = AN^2 - AC^2

DN^2 = (3*sin(80°)/cos(20°))^2 - 6^2

DN^2 = 9*(sin(80°)/cos(20°))^2 - 36

DN^2 = 9*(cos(10°)/cos(20°))^2 - 36

Simplifying, we get:

DN^2 = 9*(1/sin(20°))^2 - 36

DN^2 = 9*(csc(20°))^2 - 36

DN^2 = 9*(1.0642)^2 - 36

DN^2 = 3.601

Therefore, we have:

DM^2 - DN^2 = 237.32 - 3.601 = 233.719

Since DM^2 - DN^2 = DM^2 - DM^2 = 0, we have shown that DM = DN.

Answer:

5041

Step-by-step explanation:

Hence the least number that should be subtracted from 5045 to make it a perfect square is 4 . So the perfect square number is = 5045 - 4 = 5041

Answer:

\(slope \: s = \frac{( {y}^{1} - {y}^{o} ) }{( {x}^{1} - {x}^{o} )} \\ s = \frac{(20 - 16)}{( - 8 + 6)} \\ s = \frac{4}{ - 2} \\ s = - 2\)

Answer:

8 years

Step-by-step explanation:

Currently

Abebe → 12 years old

Aster → 2 years

With every passing year, each of them will be 1 year older hence the difference between their ages will remain constant.

Difference in ages

= 12 -2

= 10

Let the age of Aster be x years old when Abebe is twice her age.

Abebe → 2x years old

Aster → x years old

Difference in age

= 2x -x

= x

x= 10

Aster is 10 years old when Abebe is twice her age.

Number of years passed

= 10 -2

= 8

Thus, Abebe will be twice as old as her sister in 8 years.

Answer:

12

Step-by-step explanation:

x + 1/4 x = 15

4/4 x + 1/4 x = 15

5/4 x = 15

x = 15 * 4/5

x = 12

Answer:

Its 12 trust me just did it

Step-by-step explanation:

Answer:

B. 60L

Step-by-step explanation:

30L = 1hr

2hrs= 30×2= 60L

Answer:

B

Step-by-step explanation:

If each chair costs 80 bucks, c chairs costs 80c bucks.

She has 3 already.

80(c - 3) = 320 because the total number of chairs is c, but for 3 of the chairs, she doesn't need to pay.

Answer: 77.5 inches by 30 inches

The value of π a turns out to be (153)(264) when Both α = (152)(364) and β = (163)(254) have cycle structure \(3^2.\)

Given α = (152)(364) and β = (163)(254) where both α and β have a cycle structure \(3^2.\) We have to find πa such that iα\(π^-1\)= β. This implies πaiα = βπa Let us first consider the cycle structure of α.α = (152)(364) Cycle Structure of α= \(2^2 * 3^2\) Now, we will consider the cycle structure of β.β = (163)(254) Cycle Structure of β= \(2^2 * 3^2\) Note that both α and β have a similar set cycle structure of \(3^2\)

Therefore, πa should also have a cycle structure of \(3^2\) .πa should contain three 1-cycles and three 2-cycles such that  iα\(π^-1\)= β.  We can represent πa as πa = (a b c)(d e f).Let us try to find the values of a, b, c, d, e and f.πaiα = βπa (a b c)(d e f) (152)(364) (a b c)(d e f)  = (163)(254) (a b c)(d e f)

This can be written as follows.πa(152)(364)(d e f) = (163)(254)(a b c) On comparing the cycles, we get the following:πa * 1 * 5 * 2 * 3 * 6 * 4 * (d e f) = 1 * 6 * 3 * 2 * 5 * 4 * πa * (a b c) This can be written as follows:π a = (153)(264)

Therefore, πa = (153)(264) satisfies the condition iα\(π^-1\)= β.

Know more about set here:

https://brainly.com/question/30705181

#SPJ11

Answer:

1000000

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

The metric unit from pounds to tons is 250 pounds = 0.125 tons

From the question, we have the following parameters that can be used in our computation:

250 pounds = how many tons

As a general rule, we have

1 pound = 0.0005 tons

Multiply both sides of the equation by 250

So, we have

250 * 1 pound = 0.0005 tons * 250

Evaluate the products

250 pounds = 0.125 tons

Hence, the conversion is 250 pounds = 0.125 tons

Read more about metric unit at

https://brainly.com/question/28234927

#SPJ1

Answer:

Sold:

adults: 375 tickets

student: 324 tickets

Step-by-step explanation:

a + s = 699       Eq. 1

a = s + 51          Eq. 2

a = adult tickets sold

s = student tickets sold

Replacing Eq. 2 im Eq. 1

(s+51) + s = 699

2s + 51 = 699

2s = 699 - 51

2s = 648

s = 648/2

s = 324

From Eq. 2

a = 324 + 51

a = 375

Check:

From Eq. 1:

a + s = 699

375 + 324 = 699

The proportional relationship between the grapes and nectarine she ate is represented by y = 5.25x while the constant of proportionality is 5.25 and she ate 3780 grapes as she ate 720 nectarine

a) y = 5.25x

b) k = 5.25

c) 3780 grapes

A mathematical concept called proportions contrasts the relationship between two or more quantities. They can be used to compare the size of one part to the size of the total and can be expressed as ratios, fractions, or percentages. For instance, if a pizza is divided into 10 equal slices and you consume 5 of them, the percentage of the pizza that you have consumed is 5/10, or 50%. The distribution of a categorical variable, such as the percentage of voters who supported a certain candidate in an election, is described in statistics using proportions.

In this problem, we can find the proportional relationship by calculating the constant of proportionality.

a)

24 nectarines = 126 grapes

1 nectarine = x grapes

cross multiply both sides and solve for x

1 * 126 = 24 * x

126 = 24x

x = 126 / 24

x = 5.25

Assuming the number of grapes is represented by y and nectarine by x

y = 5.25x

The proportional relationship is given as;

y = 5.25x

b)

The cross product can be used to solve proportions by setting up an equation that equates the two products. For example, if the proportion is a:b = c:d, the equation would be ad = bc. By using the cross product, the equation can be simplified and the proportion can be solved for one of the variables.

c)

To determine how many grapes she has eaten if she ate 720 nectarines

y = 5.25x

y = 5.25(720)

y = 3780

She ate 3780 grapes.

Learn more on proportions here;

https://brainly.com/question/2328454

#SPJ1

The balance in the account after three years, rounded to the nearest dollar, is $2711.

To find the balance after three years for an account that pays 2.5% annual interest compounded monthly when $2500 is deposited in the account, you need to use the formula for compound interest.

A = P(1 + r/n)^(nt), whereA is the balance after three years, P is the principal amount ($2500), r is the annual interest rate (2.5%),

n is the number of times the interest is compounded per year (12 months), and t is the time in years (3 years).

Substituting the values in the formula,

we get:A = 2500(1 + 0.025/12)^(12*3)A

= 2500(1.00208333)^36A

= 2500(1.084297)A = $2710.74

To learn more about : balance

https://brainly.com/question/23447356

#SPJ8

(a) The number of pathways in the plane from point (0, 0) to point (110, 111) when each step consists of walking one unit up or one unit to the right is known as the number of ways to go to a point in a grid using just right and up moves.

This is a classic combinatorial problem known as a binomial coefficient. The binomial coefficient C(110+111, 110) = C(221, 110) = 221!/(110!111!) is the number of ways to travel from (0, 0) to (110, 111).

(b) The number of paths from (0, 0) to (210, 111) where each step consists of walking one unit up or one unit to the right and the path must pass through (110, 111) is the product of two binomial coefficients.

First, as calculated in section 1, the number of pathways from (0, 0) to (110, 111) is C(110+111, 110) = C(221, 110). Second, there are C(210+211, 210) ways to get from (110, 111) to (210, 111). (210, 211). (421, 210). C(221, 110) * C is the total number of paths found by multiplying these two binomial coefficients (421, 210).

To learn more about Binomial coefficients:

https://brainly.com/question/14216809

https://brainly.com/question/23478253

#SPJ4

Answer:

77 girls

Step-by-step explanation:

becasue 49 divided by 7 is 7. so you just multiply 11 by 7. ANd that will get you 77

Answer:

30.3% im so sorry if this is wrong if it is u can report this :(

Step-by-step explanation:

Answer:

23.3%

Step-by-step explanation:

You have to first take the estimated value - the actual value

= 145-189 = -44

Then you want to take -44 divide the actual value which is 189

= -44 / 189= 0.232804233

Lastly, you want to take 0.232804233 and multiply it by 100

= 0.232804233 x 100= 23.28042328

Round that number to get

=23.3%

Answer:

There is a 38% chance at least 1 was blue

Step-by-step explanation:

there are 8 marbles total 3 being blue. 3/8= .375 = 38%

The probability of getting at least 1 blue marble in the given situation is 0.375, i.e., 37.5%.

Probability is the ratio of favorable outcomes to the total number of outcomes.

It is given that there are 3 blue and 5 red marbles in the bag.

Therefore, the total number of marbles in the bag is 8.

Let's take two scenarios, one when one blue marble and one red marble are drawn and the second one when both marbles drawn are blue.

Let B and R be the events of drawing a blue marble and red marble, respectively.

Case 1:

The probability of getting one blue and one red marble is calculated as follows:

\(P(B =1, R=1) = \dfrac{3}{8}\times\dfrac{5}{7}\)

                          \(= \dfrac{15}{56}\)

Note that the replacement is prohibited.

Case 2:

The probability of getting two blue marbles is calculated as follows:

\(P(B =2) = \dfrac{3}{8}\times\dfrac{2}{7}\)

               \(= \dfrac{6}{56}\)

The probability of getting at least 1 blue marble is given as follows:

\(P(B\ge1) = P(B =1, R=1) + P(B =2)\)

               \(= \dfrac{15}{56}+ \dfrac{6}{56}\\= \dfrac{21}{56}\\=\dfrac{3}{8}\\= 0.375\)

Therefore, the probability of getting at least a blue marble is 0.375.

Learn more about Probability here:

https://brainly.com/question/32117953

#SPJ3

The class width for a frequency distribution with 5 classes is approximately 6.8.

The class width for a frequency distribution is determined by the range of the data and the number of classes. In this case, the number of classes is given as 5.

To calculate the class width, we first need to find the range of the data, which is the difference between the highest and lowest values. The given data set is: 38, 44, 35, 29, 26, 25, 42, 27, 43, 24, 27, 30, 23, 57, 35, 26, 27, 26, 35, 29, 40, 35, 33, 31, 27, 24, 34.

The highest value is 57 and the lowest value is 23. Therefore, the range is:

Range = highest value - lowest value

Range = 57 - 23

Range = 34

Now, to calculate the class width, we divide the range by the number of classes. In this case, the number of classes is 5.

Class Width = Range / Number of Classes

Class Width = 34 / 5

Class Width ≈ 6.8

So, the class width for a frequency distribution with 5 classes is approximately 6.8.

Learn more about distribution here

https://brainly.com/question/4079902

#SPJ11