A plane leaves the airport at 2:00 pm and flies south at 160 miles per hour. another plane leaves the same airport at 4:00 pm and flies 11 degrees north of west at 180 miles per hour. at 5:00 pm, what is the distance between the two planes? report your answer with 2 significant figures

Option D (5/3) is not another way of expressing 15 out of 25 because it is greater than one and not equivalent to the simplified fraction 3/5, decimal 0.6, or percentage 60% which are all representations of the original fraction.

The student's question asks which of the following expressions is not another way of expressing 15 out of 25 insects being butterflies. To find out, we need to simplify the fraction and convert it into different forms.

Let's begin by simplifying the fraction 15/25. We can divide both the numerator (15) and the denominator (25) by their greatest common divisor, which is 5:

So the fraction reduces to 3/5. Now let's see if the other options given correspond to this fraction:

Therefore, Option D (5/3) is the correct answer because it is not another way of expressing 15 out of 25.

Answer:

ITS NOT A) $56

Step-by-step explanation:

I took the test! GOOD LUCK!

1 bike = 152

 7 bikes = 152*7 = 1064

1 moped = 1064/2 = $532

Two or more expressions with an equal sign is called as Equation. If Plan A: Unlimited text, talk, and data for $50 per month. Plan B: Unlimited text and data and 100 minutes of talk for $40, plus $0.20 per minute of talk after 100 minutes. Then after 150 minutes plan A and plan B are equal.

Two or more expressions with an equal sign is called as Equation.

Given that,

Plan A: Unlimited text, talk, and data for $50 per month.

Plan B: Unlimited text and data and 100 minutes of talk for $40, plus $0.20 per minute of talk after 100 minutes.

We need to equation plan A and plan B

Plan A= Plan B

50=40+0.20(m-100)

Use distributive property on Right hand side

50=40+0.20m-20

Subtract 20 from 40 on right hand side

50=20+0.20m

Subtract 20 on both sides

30=0.20m

Divide both sides by 0.20

150=m

Hence After 150 minutes of talk Plan A and Plan B are equal.

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To find the purchase price of the futon, divide the sales tax by the tax rate. The purchase price is approximately $44.48.

To find the purchase price of the futon, we need to divide the sales tax by the tax rate. Let's call the purchase price P. We can set up the equation as: 0.77P = 34.16. To solve for P, we divide both sides of the equation by 0.77. P = 34.16 ÷ 0.77. Using a calculator, the purchase price of the futon is approximately $44.48.

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The scientist should use 100 ounces of water and 20 ounces of the 40% salt solution to make 200 ounces of a mixture that is 5% salt.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

The concepts of counting are permutation and combination, and they are used in a variety of contexts. A permutation is a list of the various configurations that can be created from the given set of items. Details are crucial in permutation because the order or sequence is crucial. The order in which the names of the three countries are written matters, whether they are written as "USA, Brazil, Australia" or "Australia, USA, Brazil" or "Brazil, Australia, USA." When combined, the names of three nations form a single unit, regardless of their chronological order

If it's 5 percent salt, 5 percent = 0.05 and 0.05*200=10 (which is 5% of 200), therefore showing us that we need 10 ounces of salt. From a 40% solution (0.4), we need to figure out how many times 0.4 goes into 10, which is 10/0.4=25, showing us that we need 25 ounces of the salt solution. 200-25=175 ounces left for water

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Using the 45°-45°-90° triangle theorem in a right triangle, where 'a' represents the triangle's leg that is also the trapezoid's height, 'h' equals 'a' and the hypotenuse is 'a' times √2. Additional information would be needed to solve for a numerical value of 'h'.

In this problem, the wall's shape is a trapezoid, and we are using the 45°-45°-90° triangle theorem to find 'h', the height of the wall. We know in a 45°-45°-90° triangle, the two legs are congruent (same length), and the length of the hypotenuse is √2 times the length of a leg (based on Pythagorean theorem). In this case, if 'a' is the length of the triangle's leg connected to the rectangle, then 'h' would be equal to 'a' (since they are the legs in a 45-45-90 triangle), and the hypotenuse would be a√2.

Given an additional variable or measurement in this problem such as the length of the wall or the hypotenuse of the triangle, we could plug it in to solve for 'h'. Without additional information, the exact numerical height cannot be determined.

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Rounded to the nearest tenth, 11.4 becomes 11.4.

When rounding a number to the nearest tenth, you look at the digit in the hundredths place.

If it's 5 or greater, you round up; if it's less than 5, you round down. In 11.4, the digit in the tenths place is 4, which is less than 5.

Therefore, 11.4 remains unchanged when rounded to the nearest tenth, resulting in 11.4.

This means the number stays the same, as it's already accurately represented to the nearest tenth without needing any adjustments.

The two 8s in the number 467882 have different values based on their positions. The first 8 is worth 80 while the second 8 is worth 8.

The number 467882 has two 8s. The first 8 is in the tens place and the second 8 is in the ones place. The value of the first 8 is 8 times the value of the place it is in (or 8 x 10 = 80). The value of the second 8 is 8 times the value of the place it is in (or 8 x 1 = 8).

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9*12.3 = 110.7

11*11.9 = 130.90

130.90 + 110.70 = 241.6 ft^2

Answer:

Step-by-step explanation:

Alright, lets get started.

The lateral area will be the area of all 4 sides.

The two sides have base length 11 feet and height of 11.9 feet.

The area of this side is : [tex]\frac{1}{2}*base*height[/tex]

The area of this side is : [tex]\frac{1}{2}*11*11.9=65.45[/tex]

The two sides have base length 9 feet and height 12.3 feet.

The area of this side is : [tex]\frac{1}{2}*9*12.3=55.35[/tex]

All 4 sides area will be : [tex]2(65.45+55.35)[/tex]

All 4 sides area = 241.6 square feet

Hence the lateral area will be 241.6 square feet  :   Answer B

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Answer:

[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

Step-by-step explanation:

Given :Total items = n

           Items taken at a time = r

To Find: Which expression represents the number of possible combinations of n items taken r at a time?

Solution:

We will use combination over here.

[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

Now Total items = n

         Items taken at a time = r

Thus expression represents the number of possible combinations of n items taken r at a time is [tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

Answer:

Hope this helps

Step-by-step explanation: