Anna is buying trim to go around her rug. Her rug measures 54 inches by 42 inches. How many inches of trim will Anna need to buy

The pattern that can be created with the rule n x 2 + 1 is 1, 3, 5, 7, 9, 11

Given:

n × 2 + 1

= 2n + 1

where

n = number of terms

when n = 0

2(0) + 1

0 + 1

= 1

when n = 1

2(1) + 1

= 2 + 1

= 3

when n = 2

2(2) + 1

4 + 1

= 5

when n = 3

2(3) + 1

6 + 1

= 7

when n = 4

2(4) + 1

8 + 1

= 9

Therefore, the pattern that can be created with the rule n x 2 + 1 is 1, 3, 5, 7, 9, 11

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You can arrange the games side by side on a​ shelf in "3628800" ways.

According to the question,

Number of video games,

Now,

The amount of possible ways could you place the games side by side on some kind of shelf will be:

= [tex]10![/tex]

= [tex]10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1[/tex]

= [tex]3628800[/tex]

Thus the response above is appropriate.

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The solution of the inequality 5x + 13 ≥ − 37 will be greater than or equal to negative 10.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

5x + 13 ≥ − 37

Simplify the inequality for 'x', then we have

5x + 13 ≥ − 37

5x ≥ − 50

x ≥ − 10

The solution of the inequality 5x + 13 ≥ − 37 will be greater than or equal to negative 10.

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Final answer:

43 is 5% of 860.

Explanation:

To find out what number 43 is 5% of, we can set up a proportion where 5% (or 0.05 when written as a decimal) is equal to 43 over an unknown total number X.

The formula to calculate this is part = percentage  imes total, which in this case turns into 43 = 0.05 * X.

To solve for X, divide 43 by 0.05, giving us X = 43 / 0.05 which equals 860.

Therefore, 43 is 5% of 860.

Angle F will have the same measure as angle D, which is 53°, because they are vertical angles and thus congruent.

The question asks about the measure of angle F given that it is a vertical angle to angle D, which measures 53°. In geometry, vertical angles (also known as opposite angles) are pairs of non-adjacent angles formed when two lines intersect. Vertical angles are congruent, which means they have the same measure. Therefore, since angle D is 53°, angle F, being its vertical angle, will also have a measure of 53°.

Angle D and angle F are vertical angles, which means they are congruent. If angle D measures 53°, then angle F will also measure 53°. This is because vertical angles are equal in measure.

Following are the calculation to the given question:

Given:

salesperson sells[tex]\bold{= \frac{3}{4}}[/tex]

acre= 80,000

To find:

price per square foot rounded to two decimal spaces=?

Solution:

Therefore

[tex]1 \ acre=43560\ foot \\\\ \frac{3}{4}\ acre=32670\ foot[/tex]

Calculation

[tex]32670 \ sq \ foot = \$80,000 \\\\1 \ sq \ foot =? \\\\[/tex]

Calculating the price:

[tex]=\frac{80,000}{32670}=2.4487 \approx 2.45[/tex]

Therefore, the final answer is "$2.45".

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Answer:

Given is :

∠M≅∠X

∠N≅∠Y

YO≅NZ

We have to prove that ΔMNO≅ΔXYZ

Using segment addition postulate we get YZ=YO+OZ and ON=NZ+OZ and YO=NZ is already given. Using substitution of YO for NZ; we get ON=YO+OZ

Now substituting YZ for YO+OZ we get ON=YZ and also YZ=YO+OZ.

Now applying AAS we get ΔMNO is congruent to ΔXYZ because of angle-angle-side theorem as we have already proved that two sides are congruent and a non-included angle in each triangle is congruent.

Answer:

b

Step-by-step explanation:

The correct answer is 81

Final answer:

To find the number of adult tickets sold when a total of 324 tickets were sold for a school play and student tickets were three times the number of adult tickets, we set up the equation x + 3x = 324, solved for x, and found out that 81 adult tickets were sold.

Explanation:

The question is asking us to find out how many adult tickets were sold when a total of 324 tickets were sold for a school play, with the number of student tickets being three times the number of adult tickets sold. To solve this, we let x represent the number of adult tickets. Therefore, 3x will represent the number of student tickets since there are three times as many student tickets as adult tickets.

The equation representing the total number of tickets sold would be: x (adult tickets) + 3x (student tickets) = 324. Simplifying, we have 4x = 324. Dividing both sides by 4 gives us x = 81.

Therefore, the number of adult tickets sold is 81.

Find factors of x^2 and 72, that, when combined, will give you 17x

x ^2 + 17x + 72

x 9

x 8

(x + 9)(x + 8) is your factor.

hope this helps

The probability that an auditor will spend more than 12 minutes on an invoice is approximately 88.49%.

Calculate the probability an auditor will spend more than 12 minutes on an invoice using the Z-score formula for a normal distribution.

The probability that an auditor will spend more than 12 minutes on an invoice can be calculated using the Z-score formula for a normal distribution.

Your answer is nc=100

General Idea:

We need to make use of the below formula to find the present value.

[tex] PV=\frac{FV}{(1+\frac{r}{n})^{nt}} \\ \\ Where:\\ FV \; is \; Future\; Value\; of \; money\\ r \; is\; Annual\; rate\; of\; interest\\ t\; is\; number\; of\; years\\ n\; is\; Number\; of\; periods\; based\; on\; compounding \; frequency [/tex]

Applying the Concept:

We are given the below information:

[tex] FV= \$11,500\\ \\ t=5\; years\\ \\ r=4.5 \%\\ \\ n=2\; (because\; given\; compounded\; semi-annually) [/tex]

We need to substitute the above information in the formula to find the Present value.

[tex] PV=\frac{11500}{(1+\frac{0.045}{2})^{2 \times 5}} =\frac{11500}{(1+0.0225)^{10}} =\frac{11500}{1.0225^{10}} \\ \\ PV \approx \$9206 [/tex]

CONCLUSION:

The present value of $11,500 discounted back 5 years if the appropriate interest rate is 4.5%, compounded semiannually is approximately 9206 dollars

⇒Associative Property states

A × (B ×C)=(A×B)×C=(A×C)×B

Now, we have to find equivalent expression of

 [tex](5 \times 3) \times 12 \\\\1.\rightarrow 5 \times (3 \times 12)\\\\2.\rightarrow (5 \times 12) \times 3\\\\3 \rightarrow 180[/tex]