Write a number in which the digit 1 is worth 10 times as much as it is in 62,901

Answer:

Step-by-step explanation:

If the order you select them is important

nmber of ways = 9! / (9-7)!

= (9*8*7*6*5*4*3*2*1) / (2*1)

= 9*8*7*6*5*4*3

= 181,440.

If the order does not matter:

nmber of ways = 9! / ((9-7)! * 7!)

= 9*8 / 2*1

= 36.

Answer:

Step-by-step explanation:

5 - 2y = - 8

Subtract 5 from both sides

-2y = - 8 - 5

-2y = - 13  

Divide by - 2

-2y/-2 = - 13/-2

y = 6 1/2 or 6.5

Answer:

$1.30 for juice

Step-by-step explanation:

If madeline bought 2 bagels for $6 then one bagel must be $3. Madison spent $4.30 so $3 was the bagel and $1.30 was the juice.

\(\\ \tt\Rrightarrow sin\Theta=\dfrac{\sqrt{3}}{2}\)

\(\\ \tt\Rrightarrow cosec\Theta=\dfrac{2}{\sqrt{3}}\)

Now

\(\\ \tt\Rrightarrow cos\Theta=\sqrt{1-sin^2\Theta}= \sqrt{1-\left(\dfrac{\sqrt{3}}{2}\right)^2}=\sqrt{1-\dfrac{3}{4}}=\sqrt{\dfrac{4-3}{4}}=\sqrt{\dfrac{1}{4}}=\dfrac{1}{2}\)

\(\\ \tt\Rrightarrow sec\Theta=2\)

Now

\(\\ \tt\Rrightarrow tan\Theta=\dfrac{sin\Theta}{cos\Theta}\)

\(\\ \tt\Rrightarrow tan\Theta=\dfrac{\dfrac{\sqrt{3}}{2}}{\dfrac{1}{2}}=\sqrt{3}\)

\(\\ \tt\Rrightarrow cot\Theta=\dfrac{1}{\sqrt{3}}\)

Answer:

I hope it helped U ❤️❤️❣️❣️

The number of ways for the first case will be 151,200. Then option A is correct. And the number of ways for another case will be 210. Then option D is correct.

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

Suppose 10 people run a race. Then the number of ways that they can be awarded first through the sixth place will be given as,

¹⁰P₆ = 10! / (10 - 6)!

¹⁰P₆ = 10 x 9 x 8 x 7 x 6 x 5 x 4! / 4!

¹⁰P₆ = 151,200

Suppose 10 people volunteer to help clean up the school, but you only need 6 of them. Then the number of ways is given as,

¹⁰C₆ = (10!) / [(10 - 6)! x 6!]

¹⁰C₆ = (10 x 9 x 8 x 7 x 6!) / (4 x 3 x 2 x 1 x 6!)

¹⁰C₆ = 210

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Answer:

412,090

Step-by-step explanation:

math+math+brain+school

Answer:

252

Step-by-step explanation:

The second and third smallest factors must add to 5. The only possibility is that these factors are 2 and 3.

The second and third largest factors must add to \(462-N\). These factors are \(N/2\) and \(N/3\).

\(462-N=\frac{N}{2}+\frac{N}{3} \\ \\ 462-N=\frac{5N}{6} \\ \\ 462=\frac{11N}{6} \\ \\ N=252\)

Answer:33/7

Step-by-step explanation:

Ha:mu<10  is the appropriate alternative hypothesis that the consumer group wishes to test .

How would you define hypothesis?

An assumption or notion is called a hypothesis when it is put forth with the purpose of debating whether it might be true.

                               In the scientific process, the hypothesis is developed prior to the completion of any relevant study, other than a brief background review.

Ha:mu<10

Because A consumer group is suspicious of this claim, believing that the weight lose is, on average, much less.

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The correct options are A, D and E

To solve this, we have the initial equation:

Now the option A is:

The only differecnce with the first equation is on the right side. If we apply distributive propierty to the parentheses, we can see that the both equations are the same:

Then the option A is equivalent.

In option B, the difference is that in the left side the three is there dividing anymore. But since this is an euation if we apply an operation on one side, we need to apply it on the other side. In this case, the right side is the same, so there's no way B is equaivalent.

In option C, we already apply the distributibe propierty to solve item A, and we can see that 1 - (5y + 8) = -5y - 7

Then we can rule out option C.

In option D the differecnce is in the left side of the equation. In there we can distribute the 3 that is dividing (4y + 9)

:

Then option D is equivalent.

For option E, we can use the equation in option A, that w3 already know that is equivalent, and multiply by 3 on both sides, so we can get rid of the 3 dividing in the left side:

Option E is also correct.

Thus, A , D and E are the correct options.

Answer:225 jeans.

Step-by-step explanation: What we need to do here is convert the number of jeans to a percentage. There were 25 jeans when 50 customers were surveyed and 25 is half of 50 or 50%. This means that if 450 pairs of pants are ordered half of them should be jeans. 450/2 = 225.

Answer:

y = sec(x-2) - 1

Step-by-step explanation:

We can determine the graph is of a secant by the repeating parabolas. From there, graph sec(x) and add the transformations necessary to replicate the graph.

Answer:

Step-by-step explanation:

So, first they spend $100

The next week, they spend 20% less than $100, so they spent $80 that week.

The 3rd week, they spend 3/4 of $80, so they spend $60 that week.

Finally, we add the spent money from the 3 weeks (100 + 80 + 60) and get $240. I hope this helps!

9514 1404 393

Answer:

  $11.69 per pound

Step-by-step explanation:

To find price per pound, divide price by pounds:

  $46.76/(4 lb) = $11.69/lb

Answer:

The relation (13,14), (13,5). (16,7). (18,13) is not considered a function

Step-by-step explanation:

Relations are only considered functions if each x value, which is the first number in each ordered pair or set of parentheses, has only one corresponding y-value, which is the second number in each ordered pair. The third option has two y-values, 14 and 5, for one x-value, 13. This means that it does not satisfy the requirements to be a function and therefore it is not a function.

Answer:

Step-by-step explanation:

you have to match the numbers on the lines of the plane, they have to match up with each other it goes (x,y) the x line is the one going to the side, and the y is the one going up to down

\(a_n = a_1 + (n - 1)d \\ a_n = 200 + 50(n - 1) \\ a_2 = 200 + 50(2 - 1) = 250\\ a_3 = 200 + 50(3 - 1) = 300 \: \\ a_4 = 200 + 50(4 - 1) = 350 \\ a_5 = 200 + 50(5 - 1) = 400 \\ a_6 = 200 + 50(6 - 1) = 450\)

\( \: \: u_{n } = 200(1 + 0.1) {}^{n - 1} \\ u_{n } = 200(1.1) {}^{n - 1} \\ \)

\(u_1 = 200(1.1) {}^{1 - 1} = 200 \\ u_2 = 200(1.1) {}^{2 - 1} = 220 \\ u_3 = 200(1.1) {}^{3 - 1} = 242 \\ u_4 = 200(1.1) {}^{4 - 1} = 266.2 \\ u_5 = 200(1.1) {}^{5 - 1} = 292.82 \\ u_6 = 200(1.1) {}^{6 - 1} = 322.102\)

Answer:

B.

Step-by-step explanation:

B. is the answer

Step-by-step explanation:

Of the 28 students, 5 are female.  So the probability is 5/28.

Answer:

Step-by-step explanation:

Each term is being multiplied by -0.5

How did I know?

Divide the second term by the first.

-50 divided by 100 = -1/2

Find the last four terms.

-12.5 x -1/2 = 6.25

6.25 x -1/2 = -3.125

-3.125 x -1/2 = 1.5625

1.5625 x -1/2 = -0.78125

Answer:

3 packs

$208.08

Step-by-step explanation:

27×2=54 minimum bottles needed

24×3=72

by getting 3 packs each guest will have 2 bottles left over with 18 extra bottles of water

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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Answer:

y=2x+6

Step-by-step explanation:

EXPLANATION

Let's consider the facts:

Number of trading cards bought = 6

Then, he had 2x 29= 58 cards on the next day

Subtracting 6 from 58 give us:

58 - 6 = 52

Answer: Fred had 52 cards

The linear function y = 3 · w - 1 represents the number of sea shells found in each week.

The speed of the driven gear is 180 rounds per minute.

In the first problem we have an example of linear progression, in which the number of sea shells is increased linearly every week. After a quick analysis, we conclude that the linear function y = 3 · w - 1, a kind of direct relationship.

In the second problem, we must an inverse relationship to determine the speed of the driven gear. Please notice that the speed of the gear is inversely proportional to the number of teeths. Then, we proceed to calculate the speed:

\(\frac{v_{1}}{v_{2}} = \frac{N_{2}}{N_{1}}\)

If we know that \(v_{2} = 60\,rpm\), \(N_{2} = 60\) and \(N_{1} = 20\), then the speed of the driven gear is:

\(v_{1} = v_{2}\times \frac{N_{2}}{N_{1}}\)

\(v_{1} = 60\,rpm \times \frac{60}{20}\)

\(v_{1} = 180\,rpm\)

The speed of the driven gear is 180 rounds per minute.

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Answer: 2x5x1, 1x10x1 (in any order) and any 3 multiples that make 10

Step-by-step explanation:

Answer:

There are multiple possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet. Here are some possible solutions:

A rectangular prism with dimensions of 1 ft x 2 ft x 5 ft (length x width x height) would have a volume of 10 cubic feet, since 1 x 2 x 5 = 10.

A rectangular prism with dimensions of 2 ft x 1 ft x 5 ft (length x width x height) would also have a volume of 10 cubic feet, since 2 x 1 x 5 = 10.

A rectangular prism with dimensions of 0.5 ft x 1 ft x 20 ft (length x width x height) would also have a volume of 10 cubic feet, since 0.5 x 1 x 20 = 10.

A rectangular prism with dimensions of 5 ft x 1 ft x 2 ft (length x width x height) would have a volume of 10 cubic feet, since 5 x 1 x 2 = 10.

There are infinitely many other possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet.

Answer:

it is false

Step-by-step explanation:i cant explain but trust