There are 150 people in a school dance. The ratio of adult to students is 2: 3. How
many adults are in the dance ?

Answer:

5 × 4 = 20 not 40

Step-by-step explanation:

Answer:

1 61.6   2 76.8        3 less than

Step-by-step explanation:

Took k-12 quiz

Answer:  She has 90% of her brooches at the end

Step-by-step explanation:

If she lost 10% of her brooches then 90% will be left, and another 10% will make it 80% left bus since she managed to find 10% then 10% plus 80% will be 90%.

Answer:

D!

Step-by-step explanation:

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

m∠RTS= 15°, m∠UTS= 15°, m∠RTU= 30°

Step-by-step explanation:

Since TS bisects RTS and UTS, that means the two angles are equal to each other. So let's find x first.

x+10=2x+5, subtract x to both sides

10=x+5, subtract 5 to both sides

x=5

Since RTU is basically RTS plus UTS, let's add the two angles together

x+10+2x+5, combine like terms

3x+15

Then we can plug in 5 for x

3(5)+15

15+15

=30

So, RTU is 30 degrees

Answer:

kjndnsadnsdnasnldnkasbdkbaskbjdbLol i dont caewnsnasdHBsadHKUsadkhsdkkbhaSKHChASKUCDKJGCHakbsDKskbhaKHDHU

Step-by-step explanation:

Answer:

No, it is not a right triangle

Step-by-step explanation:

We use the pythagorean theorem to determine if a triangle is a right triangle, therefore this triangle is not right.

Hope this helps :-)

Answer:

No

Step-by-step explanation:

\(c^{2}= a^{2} + b^{2}\)

To find if this is true, you would do the suqare root of \(\sqrt{9^{2} +5^{2}\), and if it does not equal 13 it's not a right triangle

(a). The Tanakas paid a total of $523,906.40 for the townhome.

(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.

Simple interest is the type of interest that is calculated on the principal amount only.

It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.

(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.

Down payment = $41,000

Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40

Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40

(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.

Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000

Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40

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Answer:

Step-by-step explanation:

f(-2) = 2/3(-2 + 8)

      = 2/3(6) = 2(2) = 4

Answer:

Additive

Step-by-step explanation:

The size of angle ACB to the nearest degree is 88 degree.

Construction Steps:

Create a line segment BC with the property AC = 4 cm.

Draw two arcs that meet at point A by using B as the centre and a radius of 4 cm, and C as the centre and a radius of 7 cm.

Join AB and AC now. Consequently, the necessary triangle is ABC.

With the use of a compass, draw a line segment AB = 7 cm from A, cutting an arc AC = 4 cm.

Cut an arc of 3 cm from point B.

Embrace BC and AC

Triangle with  angle ABC is necessary.

< ACB = 88 degree

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Answer:

B im pretty sure!!

Step-by-step explanation:

Definition of Complementary and Supplementary Angles Complementary angles are two angles that add to 90 degrees. Supplementary are two angles that add to 180 degrees.

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

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An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

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Answer:

175 * 2 * \(\pi\)

350\(\pi\) radians

Step-by-step explanation:

The number of radians completed by the stone will be 350 radians.

The angle subtended from a circle's centre that intercepts an arc with a length equal to the circle's radius is known as a radian.

Given that a grinding stone completes 175 revolutions before coming to a stop.

The number of the revolutions in radians will be calculated as:-

Multiply the number by 2π to convert it into the radians.

Number of revolutions = 175 x 2 x π

Number of revolutions = 350 radians

Therefore, the number of radians completed by the stone will be 350 radians.

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Answer:

Step-by-step explanation:

The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.

The sheet decreased by 1.5 meters and is now at 2.5 meters.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, s=−0.25t + 4 represents the thickness of the ice over t weeks. To find the thickness at 6 weeks, substitute t=6.

s = -0.25(6)+4

s = 2.5 meters

It started at t= 0 at 4 meters. So it decreased by (4 - 2.5) = 1.5 meters.

The start of spring has 4 meters because when t= 0, s= -0.25(0)+4 = 4

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During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts to melt.

The variable s models the ice sheet's thickness (in meters) t

weeks after the beginning of spring.

s=−0.25t+4s=-0.25t+4

s=−0.25t+4

By how much does the ice sheet's thickness decrease every 6 weeks?

3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

Let's start by breaking down the information given:

- Three-fourths of the yard is covered with grass.

- One-fourth of the yard is used as a garden.

- The sprinkler could only water 1/5 of the yard.

To find out how much of the grass died, we need to determine the portion of the grass that was not watered by the sprinkler.

Let's assume the total area of the yard is represented by the value 1. Therefore, we can calculate the area of the grass as 3/4 of the total yard, which is (3/4) * 1 = 3/4.

The sprinkler can only water 1/5 of the yard, so the portion of the grass that was watered is (1/5) * (3/4) = 3/20.

To find the portion of the grass that died, we subtract the watered portion from the total grass area:

Portion of grass that died = (3/4) - (3/20) = 15/20 - 3/20 = 12/20.

Simplifying, we get:

Portion of grass that died = 3/5.

Therefore, 3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

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Answer:

12 fruit baskets

Step-by-step explanation:

66 / 5 = ?

66 / 5 = 13.2

13.2 - 5 = 12

(12)

Answer:

13

Step-by-step explanation:

66/5 = 13.2

13.2 rounded is 13

+ I did ixl

Answer: the percentage of women that are shorter than 68.5 inches is 84.1%

Step-by-step explanation:

Given that;

mean μ = 65

standard deviation σ = 3.5

percentage of women are shorter than 68.5 inches = ?

P( x < 68.5 ) = P(( x-μ)/σ)

we substitute

⇒ ( 68.5-65)/3.5)

⇒ P(z < 1)

form standard normal table

P( x < 68.5 ) = P(z < 1) = 0.84134 ≈ 84.1%

Therefore, the percentage of women that are shorter than 68.5 inches is 84.1%

Answer:

If f(-5) = 7, then the point P(-5, 7) will be on the graph of f

where -5 is the x-coordinate and 7 is the y-coordinate

Step-by-step explanation:

The polynomial can be written as a product of polynomials as (3xy³ - 5x²y⁴)(3xy³ + 5x²y⁴)

option C.

To rewrite the polynomial as the product of its form, we will factor the polynomial as shown below;

9x²y⁶ − 25x⁴y⁸ = x²y⁶(9 − 25x²y²)

The function (9 − 25x²y²), can factored using difference of two squares;

(9 − 25x²y²) = 3² − (5xy)²

3² − (5xy)² = (3 - 5xy)(3 + 5xy)

The final equation as the product of its factors is calculated as;

9x²y⁶ − 25x⁴y⁸ =  x²y⁶(3 - 5xy)(3 + 5xy)

= (3xy³ - 5x²y⁴)(3xy³ + 5x²y⁴)

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We are assuming the next graph to solve this question:

If we have that point A translates to point D, we have to take into account the coordinates for each point. In this case, we have that:

A(-2, 2)

D(-7, 4)

We need to subtract the values of coordinates for D and A. Then:

As we can see, the rule for a translation from point A to point D is T(-5, 2).

We can see if we add -5 units to the x coordinate of A, we have that the new value for x = -7. Likewise, if we add 2 units to the y coordinate of A, we have that the new value for y = 4.

Maricopa Success invested $18,000 in CDs, $32,000 in bonds, and $24,000 in stocks.

What is investment?

Property acquired or invested in to build wealth and save hard-earned income or appreciation is called investment.

Let's start by assigning variables to represent the amounts invested in each type of account:

Let x be the amount invested in CDs.

Let y be the amount invested in bonds.

Let z be the amount invested in stocks.

From the problem statement, we know that:

Here total invested amount is $95,000,

So, we have

\(x + y + z = 95,000.\)

The amount invested in bonds is $35,000 more than the amount invested in CDs,

So we have

\(y = x + 35,000.\)

The annual income from the investments is $6,845, which we can express as:

0.0475x + 0.042y + 0.112z = 6,845........ (1)

Now we can use the system of equations formed by the three equations above to solve for x, y, and z. First, we can substitute \(y = x + 35,000.\) into the equation \(x + y + z = 95,000\) to get,

\(x + (x + 35,000) + z = 95,000\)

Simplifying this equation, we get:

2x + z = 60,000........ (2)

Next, we can substitute y = x + 35,000 and simplify the equation (1) using equation (2) to get:

\(0.0475x + 0.042(x + 35,000) + 0.112z = 6,845\)

Simplifying and rearranging this equation, we get:

0.0895x + 0.112z = 8,545 ..........(3)

Let's use substitution by solving equation (2) for z and substituting into equation (3):

Now, z = 60,000 - 2x

So, 0.0895x + 0.112(60,000 - 2x) = 8,545

Simplifying and solving for x, we get:

x = 18,000

Substituting this value of x into equation (2) to solve for z, we get:

2(18,000) + z = 60,000

z = 24,000

Finally, we can use equation (1) to solve for y:

\(0.0475(18,000) + 0.042(y) + 0.112(24,000) = 6,845\)

Simplifying and solving for y, we get:

y = 32,000

Therefore, Maricopa Success invested $18,000 in CDs, $32,000 in bonds, and $24,000 in stocks.

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Answer:

18

Step-by-step explanation:

33 - 3 = 30

30 ÷ 2 = 15

15 + 3 = 18

Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))

Answer:

In modular arithmetic, the modulo operation is used to find the remainder when one number is divided by another. For example, the expression "9 % 3" would evaluate to 0 because 9 divided by 3 leaves a remainder of 0.

In the given equation, taking the modulo 9 of both sides gives:

79z % 9 ≡ 92x + 9y % 9

The modulo operation distributes over addition, so we can simplify this to:

(79z % 9) ≡ (92x % 9) + (9y % 9)

Since any number divided by 9 has a remainder of itself, we can simplify this further to:

(z % 9) ≡ (2x % 9) + (y % 9)

This gives us the result:

-2z % 9 ≡ 2x % 9

Multiplying both sides by 5 gives:

(-2z % 9) * 5 ≡ (2x % 9) * 5

Which simplifies to:

-z % 9 ≡ x % 9

Since x is between 0 and 10, we know that x % 9 is between 0 and 9. Therefore, we can conclude that z = 9 - x.

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Because the object is moving slowly toward the bottom and the positive y-direction points upward, the object has a positive value for ay.

Motion is the shift in an object's location with regard to time. Motion can be quick or slow, but motion is still present. Due to the significance of motion in the physical world, it is crucial that we pay proper attention to the study of motion. Generally speaking, the following phrases are used to describe motion

With the use of equations and derivations, understanding the numerical of physics can be tedious, but with the aid of graphs, it is both entertaining and simple to understand what the answer is describing.

Since they are used in nearly all of the topics in physics, graphs are essential. Give us more information about various graphs in this article.

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