There are 77 students in the student council. The ratio of girls to boys is 7:4. How many girl are there?

Answer:

78.5 inches

Step-by-step explanation:

area of circle is pi r squared

so, 25*3.14

Answer:

Step-by-step explanation:

Hello!

We want to know the area of the original circle - the now circle.

The original circle's diameter is 110 meters.

To figure out the area you use this formula: \(r^2*pi\)

The diameter is 107 meters, so the equation is \(55^2\)\(*\pi\).

The area is about 9503.3 meters.

The next area is the "now circle".

The now circle's diameter is 107 meters.

When you use this formula, you end up with  \(53.5^2*\pi\).

The area is about 8892 meters.

So it's just basic subtraction!

I'll let you figure out the rest.

:)

So you have two congruent sides and angles.

One side is shared by both triangles so you have a side angle side congruence.

Answer: SAS

Cliff pays a total interest of approximately $679.90 on his $5,000 loan.

To calculate the total interest paid on the loan, we need to use the formula for compound interest:

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

Where:

A is the final amount (loan amount + interest)

P is the principal (loan amount)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the number of years

Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:

P = $5,000

r = 7% = 0.07

n = 12 (monthly compounding)

t = 2 years

\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)

Calculating this expression:

A ≈ 5000\((1.00583)^{(24)\)

A ≈ 5000(1.13598)

A ≈ 5679.90

The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):

Total Interest = A - P

Total Interest = 5679.90 - 5000

Total Interest ≈ $679.90

For similar question on total interest.

https://brainly.com/question/29415701  

#SPJ8

If two points are collinear and equally spaced from a third point, the assumption that it is true.

The link between points that are on a straight line is referred to in geometry as collinearity. If three or more points all lie on the same line, they are said to be collinear. In other terms, the points are collinear if a straight line can be drawn through them all. It is a crucial idea in several branches of mathematics, such as linear algebra, geometry, and trigonometry. It is frequently employed in issues involving lines and planes as well as in the research of matrices and vectors.

Collinear points are those that lie along a single straight line at an angle of three or greater. A line on which points are situated is referred to as an axis, especially if that line connects to a triangle or another geometric structure. Two points are trivially collinear because two points define a line. The points that are placed along the same straight line are known as collinear points. As all three locations are situated on the same line, the assumption is true.

Read more about collinear on:

https://brainly.com/question/17231921

#SPJ4

Given:

In a right triangle, ACB

AC=12

CB=9

AB=15

To choose two angles with a cosine ratio of 3/5:

Similarly, for a right triangle MPN,

The corresponding angle to angle B is N.

So, the answer is,

Angle B and Angle N.

Given:

The number of pennies, p=25.

The number of nickels, n=15.

The number of dimes, d=15.

The number of quarters, q=5.

The total number of coins is,

The probabilty the coin is a dime is,

The to

Step-by-step explanation:

a.120÷100×20

profit=24

=24+120

=144

b.289÷100×15

=43.35

289-43.35

=245.65

Answer: Deficit

Step-by-step explanation:

Weekly net income = $380

Monthly net income = $380 * 4 weeks = $1520.

Monthly expenses = $1550

Balance = Monthly income - monthly expenses = $-30.

The negative sign shows a deficit of $30 monthly

Answer:

Step-by-step explanation:

Answer:

5 ft melinda

Step-by-step explanation:

5 inches is like the length of your hand

Answer:

Melinda

Step-by-step explanation:

If the fort was 5 inches high, it would have been super tiny.

5 feet high makes the most sense.

Jessica invested a total of $6200, in which she had half of her investments in stock paying a 9% dividend and the other half in a stock paying 11 % interest.

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

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

Let us assume that the total money Jessica invested was $x, since the annual interest is $620, hence:

0.09(0.5)x + 0.11(0.5)x = 620

x = 6200

Jessica invested a total of $6200, in which she had half of her investments in stock paying a 9% dividend and the other half in a stock paying 11 % interest.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

To prove: If one angle of a triangle is 90°, then the sum of the other two angles is equal to 90°. is sum of angles on a triangle is 180 degrees

In a triangle, the sum of the interior angles in the triangle is 180 degrees

For right triangle, that is angle that has one side as 90 degrees, the sum of the other two sides will be 90 degrees

Assuming the other angles are x and y, then a side is 90 degrees

x + y + 90 = 180 (sum of interior angles on a triangle)

x + y = 180 - 90

x + y = 90 degrees

hence the sum of the interior angles is 90 degrees

Learn more about angles at:

https://brainly.com/question/25716982

#SPJ1

There is a 0.9830, or 98.30%, probability that the mean clock life will exceed 12.5 years.

Probability is a metric used to express the possibility or chance that a particular event will occur.

Probabilities can be expressed as fractions from 0 to 1, as well as percentages from 0% to 100%.

Probability is simply the possibility that something will happen. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several.

The study of events that fit into a probability distribution is known as statistics.

So, the likelihood that the average clock life would exceed 12.5 years:

This is the p-value of Z when X = 12.5 subtracted by 1.

So,

Z = X - μ/σ

Z = 12.5 - 14/.07071

Z = -2.12

Z = The pvalue for -2.12 is 0.0170.

1 - 0.0170 = 0.9830

The likelihood that the mean clock life will be longer than 12.5 years is 0.9830, or 98.30%.

Therefore, there is a 0.9830, or 98.30%, probability that the mean clock life will exceed 12.5 years.

Know more about probability here:

https://brainly.com/question/24756209

#SPJ1

Complete question:

A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 14 years with a variance of 25. If the claim is true, in a sample of 50 wall clocks, what is the probability that the mean clock life would be greater than 12.5 years? Round your answer to four decimal places.

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

​for such more question on simplified form

https://brainly.com/question/11680269

#SPJ8

The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

Learn more about Graph here:

https://brainly.com/question/29538026

#SPJ8

You have that in the state of Indiana, 471700 people don't drive. And this population corresponds to the 8.9% of the total population of Indiana resident aged 5 years and older.

In order to calculate the Indiana residents aged 5 years and older, you can use the information about people don't drive and the percentage about it. You can write the given specification as follow:

x(8.9/100) = 471700

where the unknown value x is the total population. When this factor x is multiplied by 8.9/100 you are calculating the 8.9% of that value, which in this case is equal to 471700.

Then, you solve the last equation for x, just as follow:

x(8.9/100) = 471700

x(0.089) = 471700

x = 471700/0.089 = 5300000

Hence, the total population of Indiana resident aged 5 years or older are 5,300,000

Answer:

36 minutes

Step-by-step explanation:

The total distance covered by the two vehicles per hour: 70 + 50 = 120 miles.

Time is distance over velocity.

\(t=\frac{72}{120}\)  hours

Which simplifies to

\(\frac{3}{5}\)  hours.

Convert hours to minutes.

There is 60 minutes in 1 hour.

\(\frac{1}{60}=\frac{\frac{3}{5} }{x}\)

\(x=36\)

Answer:

2 (2 x - 3)

Step-by-step explanation:

Simplify the following:

2 (4 x - 3) - 3×3 x + 5 x

-3×3 = -9:

2 (4 x - 3) + -9 x + 5 x

Grouping like terms, 2 (4 x - 3) - 9 x + 5 x = 2 (4 x - 3) + (5 x - 9 x):

2 (4 x - 3) + (5 x - 9 x)

5 x - 9 x = -4 x:

2 (4 x - 3) + -4 x

2 (4 x - 3) = 8 x - 6:

8 x - 6 - 4 x

Grouping like terms, 8 x - 4 x - 6 = (8 x - 4 x) - 6:

(8 x - 4 x) - 6

8 x - 4 x = 4 x:

4 x - 6

Factor 2 out of 4 x - 6:

Answer: 2 (2 x - 3)

Earn $910 for a 40​-hour work week at the same hourly​ rate.

It is often used to express a change in one quantity over another quantity, such as speed, growth, or the relationship between two numbers.

There are many types of rates, some examples include:

Interest rate: The percentage of an amount of money that is charged as interest for borrowing or lending money.

Tax rate: The percentage of income or the value of a good or service that is charged as tax.

Growth rate: The rate at which a quantity increases over time, such as the growth rate of a population or the growth rate of an economy.

Speed: the rate at which an object moves, measured as the distance it travels per unit of time.

Rates are often expressed as a percentage or as a decimal. For example, an interest rate of 5% means that for every $100 borrowed, $5 must be paid back as interest. Similarly, a growth rate of 2% means that a quantity is increasing by 2% per unit of time.

It's important to note that rates are often used in mathematical and statistical calculations and it is crucial to understand the context of the rate to correctly interpret it.

To find the hourly rate, we can divide the weekly earnings by the number of hours worked: $635.60 ÷ 28 hours = $22.70/hour

To find the earnings for a 40-hour work week, we can multiply the hourly rate by the number of hours worked: $22.70/hour x 40 hours = $910.

To know more about rate visit:

https://brainly.com/question/199664

#SPJ1

Answer:

15 drops per minute

Step-by-step explanation:

(drops per minute) flow/drip rate: volume ÷ time × drop factor

note:

volume (mL)

time (minutes)\

30 / 30 = 1

1 * 15 = 15

so, 15 drops per minute will be delivered

hope this helps!! have a lovely day :)

Answer:

15 drops/minute

Step-by-step explanation:

30 ÷ 30 = 1

1 · 15 = 15

hope this is helpful :)

Answer:162

Step-by-step explanation:

162

The probability of getting a black card and a numbered card is 9/26.

To calculate the probability of getting a black card (E1), we need to determine the number of black cards in a standard deck of 52 cards.

There are 26 black cards in total, which consist of 13 spades (black) and 13 clubs (black).

Therefore, the probability of drawing a black card (P(E1)) is:

P(E1) = Number of favorable outcomes / Total number of possible outcomes

P(E1) = 26 / 52

Simplifying this fraction, we get:

P(E1) = 1/2

So the probability of drawing a black card is 1/2.

To calculate the probability of drawing a numbered card (E2), we need to determine the number of numbered cards (2 through 10) in a standard deck.

Each suit (spades, hearts, diamonds, clubs) contains one card for each numbered value from 2 to 10, totaling 9 numbered cards per suit.

Therefore, the probability of drawing a numbered card (P(E2)) is:

P(E2) = Number of favorable outcomes / Total number of possible outcomes

P(E2) = 36 / 52

Simplifying this fraction, we get:

P(E2) = 9/13

So the probability of drawing a numbered card is 9/13.

To calculate the probability of both events occurring together (getting a black card and a numbered card), we multiply the individual probabilities:

P(E1 ∩ E2) = P(E1) × P(E2)

P(E1 ∩ E2) = (1/2) × (9/13)

Simplifying this fraction, we get:

P(E1 ∩ E2) = 9/26

Therefore, the probability of getting a black card and a numbered card is 9/26.

For such more questions on probability

https://brainly.com/question/25839839

#SPJ8

Answer:1/2 head and 1/2 tails

Step-by-step explanation: no.of experiments for heads = 5

total no of experiments=10

probability=5/10=1/2

no.of experiments for  = 5

total no of experiments=10

probability=5/10=1/2

Answer: sample mean

Hope this helps.

Answer:

  $2496

Step-by-step explanation:

You want to know the cost of carpeting a 18 ft by 24 ft room with carpet that costs $52 per square yard.

The dimensions of the room in yards are (18 ft)/(3 ft/yd) = 6 yd, by (24 ft)/(3 ft/yd) = 8 yd.

In square yards, the area is ...

  (6 yd)(8 yd) = 48 yd²

The cost of one square yard of carpet is $52, so the cost of 48 square yards will be 48 times as much.

  (48 yd²)($52/yd²) = $(48·52) = $2496

The total price to carpet the floor is $2496.

__

Additional comment

We're reluctant to call this the total price, as there are usually additional charges for tax, carpet pad, delivery, installation, removal and disposal of old flooring, and possibly additional materials such as tack strips or thresholds. Repairing mold or water damage, or leveling the floor, can also add cost.

<95141404393>

it's easy just try your best

Step-by-step explanation:

Answer:

Step-by-step explanation:

Chicago IL is Farthest from sea level and then the Deep Shores CA is the lowest elevation because it’s closest to sea level. Hope this helps!

The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

For more questions on arc length

https://brainly.com/question/31341388

#SPJ8

Step-by-step explanation:

Hey, there!!!

According to your question,

case i

force (f) = 60 n

acceleration due to gravity (a)= 10m/s^2

now,

force = mass × acceleration due to gravity

or, 60 = m × 10

or, 10m= 60

or, m= 60/10

Therefore, the mass is 6 kg.

now,

In case ii

mass= 6kg {Because there was no change in mass only change in force}

force= 54 n

now, acceleration due to gravity = ?

we have,

f=m×a

or, 54= 9×a

or, 9a= 54

or, a= 54/9

Therefore, the acceleration due to gravity is 6m/ s^2.

Hope it helps....