There are 60 tables in a restaurant, with 25% of them seating 22 people. The tables remaining seat 44 people. How many seats are there in the restaurant?

Answers

Answer 1
Answer: find how many seat 22 people
25% of 60=1/4 times 60=15 tables

60-15=45 tables that seat 44

number of seats=22 times number of 22tables+44 times number of 44tables
number of seats=22 times 15+44 times 45
number of seats=330+1980
number of seats=2310 seats

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Change 0.625 to a percent.

Answers

the answer is 62.5%
move the decimal two spots to the right

How do you input this into the calculator

Answers

\sin\theta=(b)/(c)\ therefore\ b=c\cdot\sin\theta\n\n\cos\theta=(a)/(c)\ therefore\ a=c\cdot\cos\theta

b=32\cdot\sin55^o=\sin55^o\cdot32\n\na=32\cdot\cos55^o=\cos55^o\cdot32


Determine if the lines that pass through the given points are parallel, perpendicular or neither. Line A: (-3, 5) and (0, 7) Line B: (6, 2) and (9, 4)

Answers

If two lines are parallel, their slopes will be equal. If they are perpendicular, the slope of the first line multiplied by the slope of the second line will equal 1. If they are neither, they won't have any special relationship.

Line A:
Slope = (7 - 5)/(0 - -3), which is equal to 1/3

Line B:
Slope = (4 - 2)/(9 - 6), which is also equal to 1/3.

The two slopes are the same, therefore they are parallel.
It is parallel due to the fact that it is the exact same number with one being positive and one being negative.

For each question, solve for the length of the unknown side, asdenoted by the variable. You may round your answers to the nearest
tenth, if necessary. Make sure you show all steps needed to solve the
problem.

Answers

Answer:

a=9

Step-by-step explanation:

In this problem, you can use the Pythagorean Theorem (a^(2) +b^(2) =c^(2)) to find what a is. The steps are shown below:

Steps (variables a, b, and c are in italics):

-You can rearrange the formula from the Pythagorean Theorem, which isa^(2) +b^(2) =c^(2) to only get a because we want to know what a is.

Rearranged:a=\sqrt{c^(2)-b^(2) } or a=-\sqrt{c^(2)-b^(2) }  It has to ways/options for a because when finding the square root of a number, it can be either positive or negative. But in this problem, it’s going to be positive because we’re finding the length of something.

-Since we know what c and b are, you can plug them into the new formula:

a=\sqrt{15^(2)-12^(2) }

-Simplify it:

a=√(225-144)

-Subtract inside the radical:

a=√(81)  Then simplify it to get a=9.

You can check your answer by putting a back into the original Pythagorean Theorem formula (a^(2) +b^(2) =c^(2)):

Steps

-Plug a, b, and c into the formula a^(2) +b^(2) =c^(2):

(9)^(2) +(12)^(2) =(15)^(2)

-Simplify to get:

81+144=225

-Add:

225=225  This is very true. So our answer is correct.

ANSWER:a=9

Sorry for the long explanation, but I hope you understand and that this helps with your question! :)

Answer:

a = 9

Step-by-step explanation:

lets make is short and simple

Pythagorean theorem: a² + b² = c²

a² + 12² = 15²

a² = 15² - 12²

a = √81

a = 9

Jennie makes quilts. She can make 7 quilts with 21 yards . How many yards to make 12 quilts

Answers

If she can make 7 quilts with 21 yards, then you know 21÷7=3, it takes 3 yards to make 1 quilt. To make 12 quilts, you would then multiply the amount needed for each quilt by the total number of quilts: 3 yards/quilt x 12 quilts= 36 yards needed to make 12 quilts.

Mary and her family ordered a large pizza for dinner. Half of the pizza is plain and half of the pizza has pepperoni. Mary loves pepperoni so she ate 1/5 of the full pizza (all of which had pepperoni). How much of the remaining full pizza has pepperoni?

Answers

Answer:

3/10 of the renaming full pizza has pepperoni

Step-by-step explanation:

Here, we want to calculate how much of the remaining pizza had pepperoni.

From the question, 1/2 has pepperoni and 1/2 is plain without pepperoni

she eats 1/5 of the pizza having pepperoni, this means that she is actually left with some parts is the half having pepperoni

The actual of the half remaining with pepperoni will be 1/2 - 1/5 = 3/10

This means that 3/10 of the remaining full pizza has pepperoni