A restaurant has a capacity of 120 patrons. If the restaurant is full, how many patrons are at the restaurant?

Answers

Answer 1

Answer:

Answer:120?

Step-by-step explanation:

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Change 11/5 from an improper fraction to a mixed number

Enter your answer in the box

____

Answers

Answer:

$\boxed{2144}$

Step-by-step explanation:

The sum can be found by adding the parts:

$\sum\limits_(n=1)^(32){(4n+1)}=4\sum\limits_(n=1)^(32){n}+\sum\limits_(n=1)^(32){1}=4\cdot(32\cdot 33)/(2)+32\n\n= 2112+32=\boxed{2144}$

The sum of numbers 1 to n is n(n+1)/2.

PLEASE HELP ME SOLVE THIS.STEP-BY STEP
THANK YOU !!!

I really don't know how to calculate this question.

(3 tan 45°)(4 sin 60°)-(2 cos 30°)(3 sin 30°)

Answers

Answer:

$9\,\sin(60^\circ)$ , which is equal to $\displaystyle (9√(3))/(2)$ .

Step-by-step explanation:

An angle of $45^\circ$ corresponds to an isosceles right triangle: the length of the two legs (adjacent and opposite) would be equal. Accordingly:

$\displaystyle \tan(45^\circ) = \frac{\text{Opposite Leg}}{\text{Adjacent Leg}} = 1$ .

Let $A$ denote the measure of an angle. Double-angle identity for sine:

$2\, \sin(A) \cdot \cos(A) = \sin(2\, A)$ .

By this identity:

$\begin{aligned}& (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \n &= 3\, (2\, \cos(30^\circ) \cdot \sin(30^\circ)) \n &= 3\, \sin(2 * 30^\circ) \n &= 3\, \sin(60^\circ)\end{aligned}$ .

( $A = 30^\circ$ in this instance.)

Hence:

$\begin{aligned}&(3\, \tan(45^\circ)) \cdot (4\, \sin(60^\circ)) - (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \n &= 12\, \sin(60^\circ) - 3\, \sin(60^\circ) \n &= 9\, \sin(60^\circ)\end{aligned}$ .

$\displaystyle \sin(60^\circ) = (√(3))/(2)$ . Therefore, $\displaystyle 9\, \sin(60^\circ) = (9 √(3))/(2)$ .

M/x =n-p, x for p ??

Answers

Answer:

the answer is A) X=m/n-p

Step-by-step explanation:

m/x=n-p

n-p=m/X

(n-p)×x=m

X=m/n-p

A rectangle has vertices (−5, 6), (−1, 6), (−1, 3), and (−5, 3). It is first dilated by the rule (x, y)→(7x, 7y) and then translated 10 units down. What are the coordinates of the image?A(−35, 32), (−7, 32), (−7, 11), (−35, 11)

B(−45, 42), (−17, 42), (−17, 21), (−45, 21)

C(−105, 42), (−77, 42), (−77, 21), (−105, 21)

D(−35,−28), (−7,−28), (−7,−49), (−35,−49)

Answers

Final answer:

By first dilating and then translating the given coordinates of the rectangle, we obtain the final coordinates as (−35, 32), (−7, 32), (−7, 11), (−35, 11). The correct answer is A.

Explanation:

The process of dilation involves multiplying the x and y coordinates of each vertex of the rectangle by a certain factor. In this case the factor is 7, which gives us the following set of coordinates after dilation: (−35, 42), (−7, 42), (−7, 21), (−35, 21). After the dilation, the rectangle is then translated down 10 units, which involves subtracting 10 from each of the y-coordinates. Following the translation, the final set of coordinates of the rectangle is (−35, 32), (−7, 32), (−7, 11), (−35, 11). Therefore, the correct answer is A.

Learn more about Dilation and Translation here:

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I think the answer is c

Write an explicit equation for the arithmetic sequence
3,7,11,15,19

Answers

Answer:

Arithmetic Sequence:

d=4

Step-by-step explanation:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 4 o the previous term in the sequence gives the next term. In other words, aₙ=a₁+d(n-1)

A pet store has 32 dogs. The owner gives 2 treats to each dog until she has no treats left over. How many treats did she have?

Answers

Answer:

Step-by-step explanation:

because 32 x 2 = 64

Answer:

32*2=64 She had 64 treats

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