In a class of 25 students, 12 are boys. what part of class is boys? girls?

Answer:

3: 2

Step-by-step explanation:

game Apps: education apps:

3: 2

Answer:

\(BD = 4\)

\(BC =4\sqrt 3\)

Step-by-step explanation:

Given

The attached triangle

Required

Find BD and BC

Solving BD

Considering angle at D, we have:

\(\cos(D) = \frac{Adjacent}{Hypotenuse}\)

\(\cos(60) = \frac{BD}{8}\)

Solve for BD

\(BD = 8 * \cos(60)\)

\(\cos(60) = 0.5\) So:

\(BD = 8 * 0.5\)

\(BD = 4\)

To solve for BC, we make use of Pythagoras theorem

\(CD^2 = BC^2 + BD^2\)

This gives

\(8^2 = BC^2 + 4^2\)

\(64 = BC^2 + 16\)

Collect like terms

\(BC^2 =64-16\)

\(BC^2 =48\)

Take square roots

\(BC =\sqrt{48\)

Expand

\(BC =\sqrt{16*3\)

Split

\(BC =\sqrt{16}*\sqrt 3\)

\(BC =4\sqrt 3\)

Answer:

(5,7)

did you need and explanation?

Answer:

Step-by-step explanation: true

The answer of 3200 divided by 100 by three different ways is 32.

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.

Now the given division is,  3200 divided by 100.

Since we know that division can be represented in three different way that is,

a) Factoring

b) Long division

c) Synthetic division

So,

a) Factoring 3200 divided by 100 we get,

(2x2x2x2x2x2x2x5x5)/(2x2x5x5)

= 2x2x2x2x2

= 32

b) Long division 3200 divided by 100

      32      

100| 3200

    -  300

         200

       - 200

          000

So,Quotient is 32

remainder is 0.

c) Synthetic division 3200 divided by 100

Let x = 100

Therefore, 3200 = 32x

now to divide 32x/x syntehtic division is given as,

1 |  32  

    1

Hence 32x/x  by synthetic division we get 32 R 0.

Therefore, the required answer is 32.

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The relationship between investments and productivity is that investments can help improve productivity, which is the correct option (C).

Investments can be used to acquire new equipment, hire additional workers, or implement new technologies that can enhance a company's productivity.

In general, corporations' major source of revenue is productivity, which is the economic outcome of the company's specific operations, such as the sale of a certain product, the rental of a certain item, the supply of a certain service, and so on.

By investing in these areas, companies can improve their efficiency, reduce costs, and increase output.

Therefore, the relationship between investments and productivity is that investments can help improve productivity.

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Answer:d

Step-by-step explanation:

The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:

Average rate of change = (Change in enrollment) / (Change in time)

The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.

Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:

Change in enrollment = 730 - 975 = -245 students

The change in time can be calculated as:

Change in time = 2009 - 2004 = 5 years

Now we can calculate the average rate of change:

Average rate of change = (-245 students) / (5 years) = -49 students per year

Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

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The distance between the points Q and R is 7.211 units.

In geometry, an ellipse is a two-dimensional shape, that is defined along its axes. An ellipse is formed when a cone is intersected by a plane at an angle with respect to its base. It has two focal points.

Given an equation of ellipse x²/8+y²/18 =1, a line 2y = 3x intersect the ellipse at points Q and R,

x²/8+y²/18 =1........ (i)

2y = 3x....... (ii)

Use eq 2 in 1, we get

x²/8+(3x/2)²/18 = 1

On solving,  we get,

x²/4 = 1

x = ±2

And,

(2y/3)²/8+y²/18 = 1

On solving, we get,

y = ±3

Therefore, we got, y1 = 3, y2 = -3, x1 = 2 and x2 = -2

Using the distance formula, D = √(x1-x2)²+(y2-y1)²

QR = √(-2-2)²+(-3-3)² =  7.211

|QR| = 7.211

Hence, The distance between the points Q and R is 7.211 units.

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Answer:

v = 2.25 ft/s

Step-by-step explanation:

Given that,

A person is walking at a rate of 9 feet every 4 seconds.

We need to find their speed. We know that, the speed of total distance divided by time taken. So,

\(v=\dfrac{d}{t}\\\\v=\dfrac{9\ ft}{4\ s}\\\\v=2.25\ ft/s\)

So, the speed is 2.25 ft/s.

Answer:

g = 3

Step-by-step explanation:

(x+7)(x-4) = x²+ gx -28

Multiply the two parenthesis

(x+7)(x-4)= x² -4x +7x -28

Combine like terms

(x+7)(x-4)= x²+3x-28

Compare the equations

x²+ gx -28 =  x² +3x -28

g = 3

Answer:

Base rate: $120

Rate: $2 per person

Equation: f(x)=2x+120

Step-by-step explanation:

If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40.  This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).

These values correspond to a base rate for the bus of $120.

The function for the cost per bus with x number of people on it would be:

\(f(x)=2x+100\)

This can be checked by using the values given in the problem:

\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)

The base rate of $120 and $2 per person satisfies the given equation and established values.

Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

Answer:

Step-by-step explanation:

10

Ws

Answer:

Alonzo ate 1/2 more than Mitra.

Step-by-step explanation:

In this question, you are supposed to find how much more Alonzo ate. We solve that like this:

Steps:

   - Set up the Equation:

       - 1/4 + ? = 3/4

       - The question mark represents the answer.

   - Inverse Operations:

       - Change 1/4 + ? = 3/4 to 3/4 - 1/4 = ?

       - Since Subtraction is the opposite of Addition, we flip the equation.

   - Solve:

       - \(\frac{3}4} -\frac{1}{4} =\frac{2}{4}\)

       - Then Simplify:

       - \(\frac{2}{4} =\frac{1}{2}\)

So, Alonzo ate 1/2 more than Mitra, or C.

Hope this helps! Good luck!

Thomas' installment payment that he pays in one fortnight is approximately k523.08.

To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).

First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:

Interest = Principal × Interest Rate

= k10,000 × 0.36

= k3,600

The total amount to be repaid is the sum of the principal and the interest:

Total Amount = Principal + Interest

= k10,000 + k3,600

= k13,600

Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:

Number of Fortnights = 52 weeks / 2

= 26 fortnights

To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:

Installment Payment = Total Amount / Number of Fortnights

= k13,600 / 26

≈ k523.08

Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.

It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.

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Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

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Answer:

-6 18

-30 30

Step-by-step explanation:

Multiply each number in the matrix by the 6.

Answer:

  bisect each other.

Step-by-step explanation:

The midpoints are the same point, so the diagonals bisect each other.

__

More elaboration on a proof

The alternate interior angles formed by diagonals and the sides of the triangle are congruent, so the (point-to-point) triangles formed by the crossing diagonals are congruent ASA. Since the sides of those triangles are congruent, the diagonals meet at their midpoints. That is, the diagonals bisect each other.

Answer:

y = 1/2x + 7

Step-by-step explanation:

y = mx+ b

y = 5

x = -4

5 = 1/2(-4) + b

5 = -2 + b

7 = b

Answer:

The word that best fits the description of why Fannie Lou Hamer often sang to the crowd during speeches is "Inspire."

Fannie Lou Hamer was a civil rights activist known for her powerful speeches and advocacy for voting rights. She often used music as a tool to inspire and motivate her audience, and singing was a natural extension of this. By incorporating songs into her speeches, she was able to uplift and inspire the crowd, reminding them of the shared struggle and the power of unity in the face of adversity. Hamer's singing also helped to create a sense of community and togetherness among her audience, fostering a shared sense of purpose and determination in the fight for justice and equality.

Step-by-step explanation:

Answer:

around 5 days the cat food will last .....

The answer to the given question is length is 17m and width is 6m

Given that a rectangle's length is 7 meters less than its width.

And also given the perimeter of the rectangle is 46 meters.

We know that the rectangle's perimeter is twice the sum of its length and width.

l - length of the rectangle

w - width of the rectangle

P - perimeter of the rectangle

Then we have P = 2 × (l + w)

Given that a rectangle's length is 7 meters less than its width.

⇒ l = 4 × w - 7

Given the perimeter of the rectangle is 46 centimeters.

⇒ 2 × ( l + w) = 46

⇒ 2 × (4w - 7 + w) = 46 (using the value of length given in terms of width)

⇒ 4w - 7 + w = 23 (dividing by 2 on both the sides)

⇒ 5w - 7 = 23

⇒ 5w = 23 + 7

⇒ 5w = 30

⇒ w = 6 (dividing both sides by 5)

Using the width value in the length equation, we get

l = 4 × 6 - 7

⇒ l = 24 - 7

⇒ l = 17

Therefore, The rectangle is 17 meters in length and 6 meters in width.

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Answer:

150

Step-by-step explanation:

89.517=90. 59.84=60 90+60=150

Answer:

150

Step-by-step explanation:

89.517 rounds up to 90

59.84 rounds up to 60

60 + 90 = 150

hope this helps!

Answer:

Step-by-step explanation:

i think its 16

4% is  the percentage rate of increase or decrease in exponential function.

What exactly makes a function exponential?

A mathematical function using the following formula is an exponential function: f (x) = an x. where an is a constant known as the function's base and x is a variable.

                    The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base.

We have,

y = 420( 1.04)ˣ

The equation represents exponential growth because the growth factor is greater than 1.

The general form equation is

y(x)= a(1-r)^x such that r is the growth percent.

    1 + r = 1.04

      r = 0.04 ⇒  4%

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Answer:

\(h^4\)

Step-by-step explanation:

Answer:

A. observational

B. Time spent running

C. Calories burnt

D. Speed person ran

Step-by-step explanation:

A. This is an observational study as these selected runners are being observed but no experiment is being carried out

B. The explanatory variable or independent variable is the I'm the individuals spend running. This is quantitative.

C. The response variable Is the amount of calories that is being burnt. This is also quantitative.

D. The lurking variable is iv. It is the speed at which each person ran