HURRY HELP ME select ALL the correct answers
A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour. which complex fraction represents the unit rate in miles per hour?

we know that

P(x)=x^2

and

I(x)=P(1/3x)=(1/3x)^2=(1/3)^2x^2

I(x)=(1/9)x^2

so

For x=3 -------> I(x)=(1/9)(3)^2=1

therefore

The graph is the figure below

Using the cross product for the proff of Pythagoras theorem, the correct step is

By the cross product property, AB² =  BC multiplied by BD

The cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).

For the similar triangles, the ratio is as follows

BD / BA = BA / BC

BA² = BD * BC

and AB = BA, hence

BA² = BD * BC

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We have to find 10% of 130 boys

There are 13 boys more.

Let's find 15% of 140 girls

There are 21 more.

The total would be

Before the increases, the total was

Now, we divide

Let's multiply by 100 to express it in percent

Answer:

6

Step-by-step explanation:

e = number of elephants

9 times as many monkeys as elephants

m = 9e

------------------------

60 animals all together

e + m = 60

e + 9e = 60

Combine like terms

10e = 60

Divide both sides by 10

e = 6

Answer: There’s technically no answer to this question, unless you specify that the zoo only has monkeys and elephants. If the zoo has more than two types of animal then the ratio doesn’t help because there are unknown variables.

However, if we knew that the zoo only has monkeys and elephants, then:

E = number of elephants

M = number of monkeys

M=9E

M + E = 60

9E+E= 60

10E = 60

E = 6

There are 6 elephants (and 54 monkeys).

To find the unit rate, we need to determine how much distance Margo covers in one unit of time. We can do this by dividing the distance by the time.

Distance = 1/4 mile

Time = 1/12 hour

Unit rate = Distance ÷ Time

Unit rate = (1/4 mile) ÷ (1/12 hour)

We can simplify this division by multiplying both the numerator and denominator by the least common multiple of 4 and 12, which is 12.

Unit rate = (1/4 mile) ÷ (1/12 hour) x (12/12)

Unit rate = (3/4 mile) ÷ 1 hour

Unit rate = 3/4 mile per hour

Therefore, Margo's unit rate is 3/4 mile per hour. This means that she can cover a distance of 3/4 mile in one hour of walking.

Answer:

3mph

Step-by-step explanation:

1/12 of an hour will be 5 min. In 5 min she can walk 1/4 mile then in one hour she can walk 1/4 x 12. This means her rate will be 3 miles per hour.

60/12 = 5

12 x 1/4 = 12/4 = 3

Answer:

47.065

Step-by-step explanation:

The formula for area of a circle is A = πr^2

Since the diameter is double the radius, divide 3 in half to get 1.5.

Then plug your numbers into the equation and remember to start with exponents.

3.14 x 1.5^2  or  3.14 x (1.5 x 1.5)

Answer:

7.07 cm

Step-by-step explanation:

Area of a circle = πr²

{diameter = 3 cm ; radius = 3/2 = 1.5 cm}

πr²

= 3.14 x (1.5)²

=3.14 x 2.25

= 7.07 cm (approx)

Answer:

You have the right answer

Step-by-step explanation:

Answer:

$14

Step-by-step explanation:

40% of 10 is 4

4+10=14

hope this helps

Answer:

0,1,2,3,4

Step-by-step explanation:

Answer:

26+18%=30.68

30.68 - 26.00 = 4.68

4.68 = Tip

Step-by-step explanation:

Subtotal- $26.00

18% Tip- $4.68

Total= $30.68

Hope this helped :)

To calculate the area of a rectangle, you have to multiply the length by the height, following the formula:

For the given rectangle, the length is l=16in and the height is h=6in, calculate the area as follows:

The area of the rectangle is 96 square inches.

D. X=26 is a mathematical statements, since it can be either correct or incorrect.

To comprehend any mathematical statement, we must first understand what mathematics is all about. When we answer a math problem, the solution is either correct or incorrect. There is no midway to the problems! Any mathematical statement is in the same scenario. A mathematical statement is either correct or incorrect.

In this scenario, the statement, 'A. 1,024 is the smallest four-digit number that is a perfect square.', and 'B. He is a mathematics major.' are correct statements. And 'C. 128=26' is a incorrect statement. Therefore, these options are not the mathematical statements because A and B is correct statement and C is a false statement. Meanwhile, D. X=26 is a mathematical statement because it is either correct or incorrect, depending on the given problem. Therefore D. X=26 is the correct answer for a mathematical statement.

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Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:

0

Step-by-step explanation:

they are parallels

Answer:

15

Step-by-step explanation:

I'm not sure, I took this in 5th grade so my mind can be a little rusty, I suggest using math            _          way just to check if my answer is right :)

The correct equation for the impulse applied by a force is J = F Δt, where J represents the change in momentum, F is the force applied, and Δt is the change in time.

The correct equation for the impulse applied by a force is given by:

Impulse = Force × Change in Time

Impulse, denoted by the symbol "J," represents the change in momentum of an object. It is a vector quantity and is defined as the product of the force applied to an object and the change in time over which the force acts.

Impulse is directly proportional to the force applied to an object and the duration of time during which the force is applied. When a force acts on an object for a longer period of time, it results in a greater impulse and therefore a greater change in momentum.

Mathematically, the equation for impulse can be expressed as:

J = F Δt

Where:

J is the impulse (change in momentum)

F is the force applied to the object

Δt is the change in time during which the force acts

The unit of impulse is typically represented in newton-seconds (N·s) or kilogram-meter per second (kg·m/s). By Newton's second law of motion, impulse is also equal to the change in momentum of the object:

J = Δp

Where:

Δp is the change in momentum

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The requried, 20 youths use both iPhone and Samsung, and 200 youths use neither iPhone nor Samsung.

Let A be the set of youths using only iPhones, B be the set of youths using only Samsung, and C be the set of youths using both. Then, we have:

|A| = 150

|B| = 770

|A ∪ B| = 900

We want to find |C| and |A ∩ B| (which is the number of youths using both).

Using the inclusion-exclusion principle, we have:

|A ∪ B| = |A| + |B| - |A ∩ B|

900 = 150 + 770 - |A ∩ B|

|A ∩ B| = 20

So, 20 youths use both iPhone and Samsung.

To find the number of youths who use neither, we can use the fact that:

|A ∪ B ∪ C| = 1100

|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

Plugging in the values we know, we get:

1100 = 150 + 770 + |C| - 20 - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

|C| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C| = 200

Since the number of youths using both is 20, we have:

|A ∩ C| = |B ∩ C| = |A ∩ B ∩ C| = 0

So, we can simplify the equation to:

|C| = 200

Therefore, 200 youths use neither iPhone nor Samsung.

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Answer:

E. \(\frac{2}{5} a^{3}\)

Step-by-step explanation:

\(\sqrt{\frac{36a^{8} }{225a^{2} }}\)

√36 = 6

√225 = 15

√a² = a

√a⁸ = a⁴

We now have;

\(\frac{6a^{4} }{15a}\)

\(\frac{2}{5} a^{3}\)

Answer:

6x + 154

Step-by-step explanation:

4(x + 40) +2(x -3) =

4x + 160 + 2x - 6 =

6x + 154

Answer:

2(3x + 77)

Step-by-step explanation:

4(x+40)+2(x-3)

4x+160+2x-6

6x+154

=2(3x+77)

Answer:

Step-by-step explanation:

n = 41

There are 41 students on each bus.

Answer:

$867.03

Step-by-step explanation:

Answer:

Angle ABC = 82°

Step-by-step explanation:

Given triangle ABC is an isosceles triangle so we can write

angle BAC = angle BCA = 49°

Then,

angle BAC + angle BCA + angle ABC = 180° (Sum of all angles of a triangle is 180°)

or, 49° + 49° + angle ABC = 180°

or, angle ABC = 180° - 98°

or, angle ABC = 82°

Answer:

x = -10

x = 7

Step-by-step explanation:

a)

2(x+3) = x - 4

2x + 6 = x -4

x + 6 = -4

x = -10

b)

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

20x-8 = 18x + 6

2x-8 = 6

2x = 14

x = 7

Answer:

The interval from -12 to -7

The interval from 6 to 12.

Step-by-step explanation:

The equation is log(x + 9) + log(x 9) = log[(x + 9)(x 9)]. = log(x² − 81)

Here is the equation:

log(x² - 81) = 0.47712

This can be expressed in exponential form:

x² - 81 = 10^(0.47712)

x² = 81 + 3.02343

x² = 84.02343

x ≈ ± 9.1658

The answers are therefore x -9.1658 and x 9.1658.

These intervals are where these solutions occur:

The answer, x -9.1658, can be found in the range from -12 to -7.

- The answer x = 9.1658 is found in the range of 6 to 12.

The appropriate choices are:

- The range between -7 and -12; - The range between 6 and 12.

The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.

To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.

Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).

The formula for sine is:

sin(angle) = opposite / hypotenuse

Rearranging the formula, we have:

hypotenuse = opposite / sin(angle)

In this case, the opposite side is the vertical distance, which is h.

So, the formula becomes:

hypotenuse = h / sin(angle)

To find h, we can use the formula for the length of the zip wire:

h = 25 * tan(angle)

Substituting this into the previous formula, we get:

hypotenuse = (25 * tan(angle)) / sin(angle)

Calculating the value, we have:

hypotenuse = (25 * tan(10°)) / sin(10°)

Using a calculator, we find:

tan(10°) ≈ 0.1763

sin(10°) ≈ 0.1736

Substituting these values, we can calculate the length of the zip wire:

hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters

Therefore, the length of the zip wire is approximately 25.35 meters.

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Geometry encompasses various topics such as angles, lines, triangles, circles, polygons, and more.

Whether you need help with a specific theorem, a geometric proof, or solving a particular problem, feel free to describe the problem or provide any relevant information.

You can also ask general questions about geometry concepts or seek clarification on any topic you find challenging. Remember to provide all the necessary details, such as given information, diagrams, or specific requirements of the problem, to help me understand and assist you better.

Geometry often involves visual representation, so if you can provide any diagrams or illustrations related to your question, it would be helpful. However, if you can only describe the problem or concept in words, that's perfectly fine too.

Rest assured that I'll do my best to provide clear explanations, step-by-step solutions, and any additional information or insights to help you understand and solve your geometry problem.

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Step-by-step explanation:

Each year the truck retains 85 % of its value   ( 85% + 15% = 100%)

45000 * .85 * .85 * .85 * .85   = $ 45 000 *  .85^4 = $ 23490.28

Answer:

The value of the truck would be $23,490.28 after 4 years.

Step-by-step explanation:

Main concepts:

Concept 1. Percentages

Concept 2. Depreciation

Concept 3. Distributive property

Concept 4. Repeated multiplication as a power

Concept 1. Percentages

A percentage is effectively a unit.  In the same way that 25¢ is the same as 0.25 US dollars, 15% is the same as 0.15 (unit-less number).

A common task is to find a percentage of a quantity.  For example, finding 25% of 40.  Mathematically, the word "of" here means multiply, so 25% of 40 means "25% * 40".  But, since a percentage can be converted to a regular unit-less number, this is also the same as "0.25 * 40" which is 10.  So, 25% of 40 is 10.

Concept 2. Depreciation

To depreciate means that the value of the thing decreases.  In this question, the value of the truck depreciates by 15% (per year), so its value would decrease by whatever 15% of its current value is.

15% of $45,000 is 0.15 * $45,000 = $6,750 (this is the amount that the value decreases by during the first year)

To find the value after 1 year, we need to subtract this from the original value.  We'll label this equation 1:

Common mistake: It is a common mistake for people to continue subtracting $6,750 for years 2, 3, and 4 thinking that this is subtracting another 15%.  However, each year, the 15% depreciation is based on the new value of the truck, so during the second year, the truck started at a value of $38,250 (from the end of the first year), and 15% of $38,250 will be different from 15% of $45,000.

15% of $38,250 is 0.15 * $38,250 = $5,737.50 (this is the amount that the value decreases by)

To find the value after 2 year, we need to subtract this from the value at the end of year 1.  We'll label this equation 2:

Concept 3. Distributive property

In Equation 1 above, the left side of the equation can be factored by using the distributive property in reverse, and factoring out "$45,000":

$45,000 - $6,750 is the same as

$45,000 * ( 1 - 0.15 ) = $38,250    -- Equation 1a

This expression illuminates what is happening to the value if we change the numbers inside the parentheses into percentages

$45,000 * ( 100% - 15% )

Notice that in the parentheses, we start with 100% (whatever 100% is), and we're subtracting 15%.

Similarly, in Equation 2, the left side of the equation can be factored by using the distributive property in reverse, and factoring out "$38,250":

$38,250 - $5,737.50 is the same as

$38,250 * ( 1 - 0.15 ) = $32,512.50   -- Equation 2a

Notice that in the parentheses, we again start with 100% (whatever 100% is), and we're subtracting 15%.

Concept 4. Repeated multiplication as a power

Quick recap from Equation 1a & Equation 2a:

For year 1, Equation 1a:  $45,000 * ( 1 - 0.15 ) = $38,250

For year 2, Equation 2a:  $38,250 * ( 1 - 0.15 ) =  $32,512.50

However, note the equivalence in bold above.  This means that we can replace the $38,250 in the "Year 2" equation with the entire left side of the equation from Year 1.

Thus, for Year 2, the equation become:

$45,000 * ( 1 - 0.15 ) * ( 1 - 0.15 ) =  $32,512.50

While the value at the end of year 3 could be written

$32,512.50 * ( 1 - 0.15 )

notice that the left side again starts with the value that ended the year before.  With another substitution, for Year 3, the equation becomes:

$45,000 * ( 1 - 0.15 ) * ( 1 - 0.15 ) * ( 1 - 0.15 ) =  Value at end of year 3

Continuing the pattern, we need the value at the end of the year before, times ( 1 - 0.15 ) to get the value for the end of the following year.  

$45,000 * ( 1 - 0.15 ) * ( 1 - 0.15 ) * ( 1 - 0.15 ) * ( 1 - 0.15 ) =  Value at end of year 4.

Notice that each year, we're multiplying by another factor of ( 1 - 0.15 )

Recall that multiplying by the same number or expression repeatedly can be simplified with an exponent.  For example, five 2s multiplied together: 2*2*2*2*2 can be written as \(2^5\).  

Therefore, the value of the truck at the end of year 2 can be written as

\(\$45,000 * (1-0.15)^{2}\)

The value of the truck at the end of year 3:  \(\$45,000 * (1-0.15)^{3}\)

The value of the truck at the end of year 4:  \(\$45,000 * (1-0.15)^{4}\)

Side note: the value of the truck at the end of any year "n" is \(\$45,000 * (1-0.15)^{n}\)

So, to answer the question, and find the value of the truck in 4 years, we just need to evaluate \(\$45,000 * (1-0.15)^{4}\)

\(\$45,000 * (1-0.15)^{4}=\)

\(=\$45,000 * (0.85)^{4}\)

\(=\$45,000 * 0.52200625\)

\(=\$23,490.28125\)

Rounded to the nearest penny, the value of the truck would be $23,490.28 after 4 years.

Answer:

12 cups

Step-by-step explanation:

21:7=3 i mean that's kinda it

3x4=12

Answer:

6 hours

Step-by-step explanation:

Since there are 60 minutes in one hour, you can ski 3 * 2 = 6 miles per hour. Therefore, it will take you 36 / 6 = 6 hours to ski that distance.