In 1999 the student enrollment at a college was 13% more than it was in 1998 if the enrollment was 12,204 in 2000 which was 8% more than 1999 find the enrollment in 1998

Answer:

The sum of the interior angle measures of a regular hexagon is 720°.

Step-by-step explanation:

To find the sum of the interior angle measures of a regular hexagon, we can use the fact that any polygon can be divided into triangles. The formula to find the sum of the interior angles of any polygon with n sides is:

Sum of interior angles = (n - 2) × 180°

In the case of a hexagon, n = 6. So, we can plug this value into the formula:

Sum of interior angles = (6 - 2) × 180° = 4 × 180° = 720°

The sum of the interior angle measures of a regular hexagon is 720°.

To explain this using triangles, let's divide the hexagon into triangles. A hexagon can be divided into four triangles by drawing three diagonals from one vertex to the three non-adjacent vertices. Since the sum of the interior angles of each triangle is 180°, and we have four triangles:

Sum of interior angles of hexagon = 4 × 180° = 720°

The sum of the interior angle measures of a regular hexagon is 720°.

Answer:

10 = x

Step-by-step explanation:

I believe <B = <E.

<B = 50 = <E = 5x

50 = 5x

10 = x

Answer:

The original price of the shirt was Ksh 500 and it was sold for Ksh 550.

The discount is the difference between the original price and the selling price, which is Ksh 500 - Ksh 550 = Ksh -50.

To find the percentage discount, we can use the formula:

percentage discount = (discount ÷ original price) × 100%

percentage discount = (-50 ÷ 500) × 100%

percentage discount = -10%

Therefore, the percentage discount is 10%.

Answer:

d = 1/5t

Step-by-step explanation:

Since it is a direct variation , Let d represent the distance and t represent the time ,then

d ∝ t

introducing the proportionality constant, we have

d = kt

Substituting t = 10 and d = 2 , we have

2 = 10k

k = 1/5

substitute k = 1/5 into the original equation , we have

d = 1/5t

Step-by-step explanation:

Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%

The formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time

Process time = 23 days

Inspection time = 13 days

Value added time = 23 + 13 = 36days

The production cycle time = Move time + process time + queue time + inspection time + wait time

= 22 + 12 + 23 + 13 + 17 days

= 87 days

So, the manufacturing efficiency time = 36/87 * 100

= 41.4%

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Answer:

3,700,000

Step-by-step explanation:

Answer:

The correct answer is B, I took the test :)

You just turn the percentages into decimals

The probability distribution table is formed clearly in the answer part.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The probability for all the elements in the sample space can be shown in one table known as distribution table.

Suppose X be the event of choosing a major.

Then, its probability can be given as P(X).

Here, the percent value of a given event is equivalent to their probability.

It can be represented in the form of table as,

X (Major chosen by student)                              P(X) (Probability)

    Math                                                                    3% = 0.03

   Nursing                                                                22% = 0.22

  Psychology                                                           16% = 0.16

 Criminal justice                                                      11% = 0.11

   Business                                                              48% = 0.48

This table is known as the probability distribution table.

Hence, the probability distribution table is formed by calculating the probability for each of the events.

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Answer:

x=25.

Step-by-step explanation:

We know because of corresponding angles, the sum of the angle adjacent to (2x-5) and (2x-5) is 180 degrees

2x-5+5x+10=180

7x+5=180

7x=175

x=25

Answer:

(4, 9)

Step-by-step explanation:

Given the functions

f(x) = 2x + 1 and g(x) = 3x - 3

Since the solution exists at when f(x) = g(x), then;

2x+1 = 3x -3

Collect like terms

2x - 3x = -3 -1

-x = -4

x = 4

Substitute x = 4 into f(x) = 2x + 1

f(4) = 2(4) + 1

f(4) = 8+1

f(4) =9

Hence the required solution from the graph will be (4, 9)

The loss on selling 50 shares of stock would be 87.50.

To calculate the loss on selling 50 shares of stock originally bought at

\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.

First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.

Next, we calculate the difference between the purchase price and the selling price:

\(13.75 - 12 = 1.75.\)

Finally, we multiply the difference by the number of shares sold:

\(1.75 \times50 = 87.50.\)

Therefore, the loss on selling 50 shares of stock would be 87.50.

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Answer:

True

Step-by-step explanation:

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

1.5 bananas to make each sundaes

Step-by-step explanation:

6 divided by 4

ANSWER

B. 2.9 m

EXPLANATION

Let's draw the slide with the given information,

As we can see, the slide forms a right triangle with the ground. The length of the slide is the hypotenuse of the triangle and its height is the opposite leg to the given angle.

We have to use a trigonometric ratio to solve this problem and, with the given information, the one that best fits is the sine of the angle since it is the ratio between the opposite leg and the hypotenuse,

In this problem, the angle is 35°, the opposite leg is h and the hypotenuse is 5.1m,

Solving for h,

Hence, the height of the top of the slide is 2.9 m, rounded to the nearest tenth.

Answer:

C)

B)

C)

Step-by-step explanation:

recall the surface area formula of cylinder

\( \displaystyle A _{S} = 2\pi r(h + r)\)

given that,h=5 and r=0.7

substitute:

\( \displaystyle A _{S} = 2\pi (0.7)(5 + 0.7)\)

simplify parentheses:

\( \displaystyle A _{S} = 2\pi (0.7)(5 .7)\)

simplify multiplication:

\( \displaystyle A _{S} =25.0572 sqm\)

hence, our answer is C

remember the surface area formula of cone

\( \displaystyle A _{S} = \pi r(r + s)\)

given that,r=7 and s=10

substitute:

\( \displaystyle A _{S} = \pi (7)(7+ 10)\)

simplify parentheses:

\( \displaystyle A _{S} = \pi (7)(17)\)

simplify multiplication:

\( \displaystyle A _{S} =373.66sqcm\)

hence, our answer is B

now for the question-3 we need a little bit understanding

remember the surface area formula of cube

\( \displaystyle A _{S} =6 {a}^{2} \)

we are given that,\(A_S=600\) Thus

substitute:

\( \displaystyle 6 {a}^{2} = 600\)

divide both sides by 6:

\( \displaystyle {a}^{2} = 100\)

square root both sides:

\( \displaystyle {a}^{} = 10\)

hence, the measurement of each

edge is 10 cm therefore our answer is C)

Answer: c, -3.2 + 1.5n less-than-or-equal-to 8.6

Step-by-step explanation:

I got it right on the quiz

Answer:

the answer is c

Step-by-step explanation:

just did the assignment got 100%

The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2

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

-3/4 + 2/5x = 7/20x -1/2

The first step is to collect the like terms

So, we have

2/5x - 7/20x = 3/4 - 1/2

This represents an equation of the possible way to begin solving for x

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Answer:

4%

Step-by-step explanation:

Answer:

y = 5

Step-by-step explanation:

\(14y-7y=35\\7y=35\\y=5\)

14 minus 7 is 7

7Y is equal to 35

divide both sides by 7 is equal to 5

Answer:

24 square inches

Step-by-step explanation:

Based on the diagram or figure given, The  area of the figure is known to be 24 square inches.

The area of a figure is known to be the rate or the number of unit squares that is said to have cover the surface of a closed figure.

Note that the area is often measured in square units such as (cm²) and in the case above, the Based on the diagram or figure given, The  area of the figure is known to be 24 square inches.

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The cost of 20 apples is such that the ratio of apples to cost maintained or each apple costs the same amount is $4.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

As per the given,

Melissa brought 6 apples for $1.20.

The ratio of cost to apple ⇒

1.20/6

Now let's suppose the cost of 20 apples is x dollars.

The ratio of cost to apple ⇒

x/20

Since the cost of each apple is the same, therefore, both ratios must be the same.

x/20 = 1.20/6

x = 20(1.20/6)

x = 4

Hence "The cost of 20 apples is such that the ratio of apples to cost maintained or each apple costs the same amount is $4".

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Answer:

They can make 30 Bags total.

Step-by-step explanation:

Jane has $17. There are 12 pencils in each pack for $1.60.

Jane can bay 10 packs of 12 pencils for $16.9 or else she will go over the amount of money she has.

1.69 x 10 = 16.9

Eric has $19. There are 150 cards in one pack for $2.99.

Eric can bay 6 packs of 150 cards for $17.94 or he ill go over the amount of money he has.

2.99 x 6 = 17.94

Eric.

150^6 = 900

900/30 = 30

Jane.

12^10 = 120

120/2 = 60

60/2 = 30

Together.

30 cards can go into 30 bags, and 2 pencils can go into 30 bags

Answer: D

Step-by-step explanation:

To determine which ordered pair is a solution to the inequality, we can substitute the values of x and y into the inequality and check if it is true.

Let's start with ordered pair A (80, 6):

1/4x ≤ 7/3y + 2

1/4(80) ≤ 7/3(6) + 2

20 ≤ 14 + 2

20 ≤ 16

This is not true, so ordered pair A is not a solution to the inequality.

Now let's try ordered pair B (48, 9):

1/4x ≤ 7/3y + 2

1/4(48) ≤ 7/3(9) + 2

12 ≤ 21 + 2

12 ≤ 23

This is also not true, so ordered pair B is not a solution to the inequality.

Next, let's try ordered pair C (40, 3):

1/4x ≤ 7/3y + 2

1/4(40) ≤ 7/3(3) + 2

10 ≤ 7 + 2

10 ≤ 9

This is false, so option C is not a solution to the inequality.

Finally, we have option D: (2, -6)

1/4(2) ≤ 7/3(-6) + 2

1/2 ≤ -14 + 2

1/2 ≤ -12

This is true, so option D is a solution to the inequality.

Therefore, the answer is D: (2, -6).

The value of variable x is 19.20.

Let's find the value of variable x in the equation.

A variable is a number represented with letters in an equation.

Therefore,

x / 6 + 4 / 10 = 3 + 6 / 10

Therefore, let's find the variable x.

10x + 24 / 60 =  30 + 6 / 10

10x + 24 / 60 = 36 / 10

60 × 36 = 10(10x + 24)

2160 = 100x + 240

2160 - 240 = 100x

1920 = 100x

divide both sides by 100

x = 1920 / 100

x = 19.20

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Hopefully, I have read the problems right. The small writing is slightly blurry.

[1] Both 1 and 2 are equal to 70°

    Angle 1 and Angle 2 will be equal to each other because they are vertical angles.

    A straight line is 180°, so 180° - 110° = 70°

[2] Both 3 and 4 are equal to 99°

    Again, Angle 3 and Angle 4 will be equal to each other because they are vertical angles.

    We can solve for the other two angles by putting them equal to each other since they are also vertical angles.

3x - 15° = 2x + 17°

3x = 2x + 32°

x = 32°

-

2x + 17°

2(32)° + 17°

64° + 17°

81°

    Also again, a straight line is 180°. 180° - 81° = 99°

[3] This one has too many subparts for Brainly.

    As a hint, you will use the same methods above. Find vertical angles and use the degree of a straight line.

Answer:

ax^2 + bx + c = 0

Step-by-step explanation:

a, b, are the coefficients, c is the constant term, and x is the variable

Hope that helps

The histogram will have a shape that is left-skewed. Then the correct option is B.

A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.

Students in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute.

5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5

Then the mean will be

Mean = (5.5 + 6 + ..... + 6.5 + 5.5) / 15

Mean = 111.5/12

Mean = 7.4333

Then the median will be

Median = 7.5

The histogram will have a shape that is left-skewed.

Then the correct option is B.

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Answer:

The histogram will have a shape that is left-skewed.

The shape of the histogram can be approximated with a normal curve.

The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

Step-by-step explanation:

B/2, D/4, E/5