What is the gratest common factor of 84 and 108?

The numbers are ordered from least to greatest by first converting them all to decimals, resulting in the order: 8.17, 8.174, 8 7/11 (8.6363), and 173/20 (8.65).

First, we need to convert all the numbers to similar formats, either as decimals or fractions, to compare them accurately. Here's what we have:

Now, we can easily order these from least to greatest:

Answer:

Step-by-step explanation:

The problem is about proportions, because we have two parallels line being intercepted by two transversal. So, the proportion would be:

[tex]\frac{x+8}{x}= \frac{x+13}{x+1}[/tex]

Solving for [tex]x[/tex]:

[tex]\frac{x+8}{x}= \frac{x+13}{x+1}\\(x+1)(x+8)=x(x+13)\\x^{2} +8x+x+8=x^{2} +13x\\9x+8=13x\\8=13x-9x\\4x=8\\x=\frac{8}{4}=2[/tex]

Now, to find the length of AC, we just have to use the value found and replace it in the proper expression:

[tex]AC=x+13+x+1=2x+14=2(2)+14=4+14=18[/tex]

Therefore, the length of AC is 18.

Answer: The answer is 16 by 32.

Step-by-step explanation:

I took the test and this was correct. Explanation is easy because 12 is 3/4 of 16 and 24 is 3/4 of 32.

If the generic television set is 12 inches by 24 inches, the dimensions of the brand name television is, 16 inches by 32 inches

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

Jason considered two similar televisions at a local electronics store

The generic version was three fourths the size of the brand name

The generic television set is 12 inches by 24 inches

The dimensions of the brand name television = ?

Suppose, the dimensions of the brand name are a  inches by b inches

So,

3/4 a   =  12

a   =  16

Similarly,

3/4 b = 24

b  =  32

Hence, the dimensions are 16 inches by 32 inches

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Final answer:

To calculate the percent yield, the actual yield in moles of potassium permanganate was found to be 4.40 moles from 695.2 g, using the molar mass of KMnO4. Then, the percent yield was calculated using the theoretical yield of 5.00 moles, resulting in 88%.

Therefore, the correct answer is C. 88%

Explanation:

To calculate the percent yield of the reaction, we first need to know the moles of potassium permanganate (KMnO4) that correspond to 695.2 g. We use the molar mass of KMnO4 which is 158.04 g/mol to convert grams to moles.

Actual yield in moles = mass (g) / molar mass (g/mol) = 695.2 g / 158.04 g/mol = 4.40 moles of KMnO4

Now, with the theoretical yield of 5.00 moles, we can find the percent yield using the formula:

Percent yield = (actual yield / theoretical yield) × 100%

Percent yield = (4.40 moles / 5.00 moles) × 100% = 88%

Therefore, the correct answer is C. 88%

last one. i can do the first part. put x = distance from top of ladder to the floor, y = distance from base of ladder to the wall (draw a picture) then pythagoras sez

calculus says

and you are told that

so you know

or

Final answer:

To find out how many people are eating cookies, you multiply the total number of people in the bakery, which is 18, by two-ninths. The result is four, meaning four people are eating cookies.

Explanation:

If two-ninths of the eighteen people in the bakery are eating cookies, we need to calculate 2/9 of 18 to find out how many people are eating cookies. This is a basic fraction multiplication problem.

To solve this, we multiply 18 (the total number of people) by the fraction 2/9:

18 × (2/9) = (18 × 2) / 9

18 × 2 = 36

36 / 9 = 4

Therefore, four people in the bakery are eating cookies.

0.9 as a percentage is 90 percent.

To convert a decimal to a percentage, you need to multiply the decimal by 100. In this case, 0.9 times 100 equals 90. Therefore, 0.9 as a percentage is 90 percent.

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Answer:

your answer is log2 k to the fifth power n to the tenth power over m to the eighth power

Step-by-step explanation:

Jason started with 72 baseball trading cards. To find out how many baseball trading cards Jason started with, let's break down the information given step by step.

1. Jason bought 8 new baseball trading cards: This implies that Jason's collection increased by 8 cards.

Let's denote the number of cards Jason had before buying the new ones as X . After buying the new cards, Jason would have X + 8 cards.

2. The next day his dog ate half of his collection: If his dog ate half of his collection, this means that the number of cards left after the incident is half of what Jason had before. So, after the dog ate half of the collection, Jason would have [tex]\( \frac{1}{2} \times (X + 8) \)[/tex] cards remaining.

3. There are now only 40 cards left: This information tells us that the number of cards left after the incident is 40. So, we have the equation:

[tex]\[ \frac{1}{2} \times (X + 8) = 40 \][/tex]

Now, let's solve for  X:

[tex]\[ \frac{1}{2} \times (X + 8) = 40 \][/tex]

[tex]\[ X + 8 = 40 \times 2 \][/tex]

X + 8 = 80

X = 80 - 8

X = 72

So, Jason started with 72 baseball trading cards.

To verify, let's check the steps:

1. Jason initially had 72 cards.

2. He bought 8 new cards, totaling 72 + 8 = 80 cards.

3. After his dog ate half of his collection, he was left with [tex]\( \frac{1}{2} \times 80 = 40 \)[/tex] cards, which matches the given information.

Therefore, Jason started with 72 baseball trading cards.

The complete question is:

Jason bought 8 new baseball trading cards to add to his collection. the next day his dog ate half of his collection. there are now only 40 cards left. how many cards did jason start with?

The correct answer is 3391.2cm^3