A restaurant has two different seating options: a table and a family booth. A table can seat 4 people, and a family booth can seat 10 people. The restaurant has a maximum capacity of 242 people. If the restaurant has 19 family booths, which inequality could be used to find t, the number of tables in the restaurant?

Answers

Answer 1

Answer:

t ≤ 15

Step-by-step explanation:

Let t = tables

6 * 15 + 2* t ≤ 120

90 + 2t ≤ 120

2t ≤ 30

t ≤ 15


Related Questions

Use deductive reasoning to show that the two triangles are congruent. given that fab is congruent to ged and c is the midpoint of ae prove that abc is congruent to edc

Answers

Answer:

ΔABC is congruent to ΔEDC by the Angle-Side-Angle congruency rule

Step-by-step explanation:

The

Statement                   [tex]{}[/tex]                                    Reason

∠FAB ≅ ∠GED                   [tex]{}[/tex]                             Given

C = Midpoint of [tex]\overline {AE}[/tex]                     [tex]{}[/tex]                    Given

∠BAC and ∠FAB are supplementary             Angles on a straight line

∠DEC and ∠GED are supplementary             Angles on a straight line

∠BAC ≅ ∠DEC                     [tex]{}[/tex]                            Transitive property

[tex]\overline {AC}[/tex] ≅ [tex]\overline {CE}[/tex]                    [tex]{}[/tex]                                       Definition of midpoint

ΔABC ≅ ΔEDC                     [tex]{}[/tex]                             ASA congruency rule  

Where two angles and an included side of one triangle is congruent to the corresponding two angles and an included side of another triangle, both triangles are congruent.     [tex]{}[/tex]                              

please help, 20 points !!

What is the relationship between Angle 2 and Angle 7?

Answers

Answer:

they are the same

Step-by-step explanation:

they are not diffrent because its that same

Answer:

They are alternate interior angles.

MARK ME BRAINLIEST!!

Anyone know how to do??

Answers

Answer:

30°

Step-by-step explanation:

Step 1:

2x + 10 + 4x + 80 = 180     Sum of a line

Step 2:

6x + 90 = 180      Combine Like Terms

Step 3:

6x = 90     Subtract 90 on both sides

Answer:

x = 30°       Divide

Hope This Helps :)

Which numbers are irrational?
144 , 15 , 81 , 54

Answers

15 and 54 are irrational.

Which of the following number is between 5 and 10 on a number line
[tex] \sqrt{44} [/tex]
[tex] \sqrt{38} [/tex]
[tex] \sqrt{21} [/tex]
[tex] \sqrt{6} [/tex]
[tex] - \sqrt{59} [/tex]
[tex] - \sqrt{8} [/tex]

Answers

There are 3 of them
The first, second, and fifth one

Answer:

first second and fifth are the answers

Can someone give me an idea for a blog for class. I need a topic about things going on in the world ​

Answers

Answer:

I think a great one would be about Corona virus but if you dont

want to do that one another one could be population increase.

Hope this helps!

Sarah and Henry share some sweets in the ratio 7:6 . Sarah eats 12 of her sweets and the ratio of sweets left becomes 1:2 . How many sweets did Henry have?

Answers

Ratio is 7:6; but we’d don’t know exactly how many each had call the radio 7x:6x

(7x-20) is how many sweets, Sarah has now the ratio is now 1:2

(7x-20)/6x=1/2

Cross multiply

2(7x-20)=1*6x

14x-6x=40

8x=40

x=40/8=5

5*6=30 sweets is how many Henry had

Please mark me brainliest this took me 10 minutes to type on my phone let me know if U need help with anything else

Two measures are complementary. If Angle 1 is 43 degrees and Angle 2 is (x-7) degrees, what is the value of x? Thanks!

Answers

Answer:

x = 54

Step-by-step explanation:

43 + x - 7 = 90

36 + x = 90

x = 54

Naomi and Claire are painting a mural. Naomi paints 2 square feet per hour and has already painted 16.5 square feet.
Claire paints 4 square feet per hour and has already painted 7.5 square feet.
How many more hours will it take for Naomi and Claire to paint an equal total number of square feet?

Answers

Answer:

4 hours

Step-by-step explanation:

16.5+x2

7.5+x4

16.5+2=17.5+2=19.5+2=21.5+2=23.5

7.5+4=11.5+4=15.5+4=19.5+4=23.5

Ok this is my last math question so help me out here

Answers

Answer:

its 6

Step-by-step explanation:

Evaluate the function, f(x) = 3x + 1, for f -2/3

3
7
-1
-5/9

Answers

Answer:

To find the inverse, interchange the variables and solve for

Find the inverse and subtract


A large bag of peanuts weighs 2.25 pounds. How many ounces of peanuts are in the bag?

Answers

Answer:

36 ounces

Step-by-step explanation:

There are 16 ounces in a pound so what you have to do is multiply, here's what the equation could look like.

2.25 x 16 = 36

Hope that helps and have a great day!

Convert the following fraction to a decimal: ⅖ *


Answers

2/5 as a decimal is 0.4
0.4 is the answer of your question

WILL GIVE BRAINLIST

Samuel drove 28 miles in 32 minutes. Beverly drove 42 miles in 48 minutes.

Are the ratios of miles to minutes for Samuel and Beverly proportional?

Drag and drop to correctly complete the statement.

Answers

= Ratio of minutes to miles in which Samuel drove = 28 : 32

= Ratio of minutes to miles in which Beverly drove = 42 : 48

To find whether the time they drove and the distance they covered were proportional or not , let us first change them into a fraction and then simplify them .

= 28 : 32 = 28/32

= 28/32

Both the numerator and the denominator is divisible by 4 .

= 28 ÷ 4 / 32 ÷ 4

= 7/8 = 7 : 8

Samuel = 7 : 8

Beverly = 42 : 48 = 42/48

= 42/48

Both the numerator and the denominator is divisible by 6 .

= 42 ÷ 6 / 48 ÷ 6

= 7/8

Therefore, the ratio of miles to minutes drove by Samuel and Beverly is proportional , 7:8 :: 7:8

Answer:

7:8 7:8

Step-by-step explanation:

if you subtract 28 from 42 and subtract 32 from 48 then you get 14-16. then double it and you get 28-32 then add 14-16 to those again and you get 42-48. because they add up and are equal, take 14-16 and simplify it to 7:8.

what is b when b^2=46

Answers

Answer:

b^2 = 46

b = √46 (or 6.78 rounded)

Answer:

b≈6.78

Step-by-step explanation:

Just punch in your calculator the square root of 46.

[tex]\sqrt{46} =b[/tex]

b≈6.78

HELLLLPPPPP two questions: AND I WILL GIVE YA THE BRAINLIESTTTTT
question one: Marcos mixes 434 oz of lemonade. he wants to filll the 14 cups he has with equal amounts of lemonade.
How many lemonade should he put in each cup?
Marcos should put_____ ounces in each cup.

Question 2: Kainoa collects trading cards. he has 1,005 baseball cards, 702 basketball cards, and 885 football cards. And he wants to put them all in albums. Each page holds 18 cards.
How many pages will he need to hold all of his cards?
Kainoa will need_____ pages.

Answers

Answer:

First one 31 oz

Second one 144 pages

Step-by-step explanation:

First one

Divide 434 by 14 (434/14) to get how many oz in a cup since its 14 oz per cup and he has 434 oz

Second one

Add up all the cards since it says "all of his cards" (2592) and divide it by 18 since each page holds 18 cards

I need to know the missing angles​

Answers

Answer:

71

Step-by-step explanation: 2x=142

x=71

Answer:

the missing angles are 71

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

142° is an exterior angle of the triangle, thus

x + x = 142

2x = 142 ( divide both sides by 2 )

x = 71

Alan drive 210 miles using 9 gallons of gas. At this rate,how many gallons of gas would he need to drive 413 miles?

Answers

Answer:

9636.66666665,or, 9637

Step-by-step explanation:

Which of the following is arranged in the correct order?
A. |31| > |-41| > |-3| > |5|
B. |-41| > |31| > |5| > |-3|
C. |-41| > |31| > |-3| > |5|
D. |31| > |5| > |-3| > |-41|

Answers

Answer:

it's B.

Step-by-step explanation:

41>31>5>3

when you went to bed the temperature was -5.5 it fell 3.4 degrees overnight what is the temperature now

Answers

Answer:

-2.1

Step-by-step explanation:

3.4 minus -5.5

PLEEEEEEEEEEEEEEEASE HELP ME WITH THIS! IT IS DUE TOMORROW!!

Answers

Answer: This can help you step by step

Step-by-step explanation:

2. Solve the system by substitution. (1 point)
2x – y + z = -4
z = 5
-2x + 3y - 2 = -10
O(-8,7,5)
O(-8. -7,5)
O(8, -7,5)
O(-8, -7,-5)

Answers

Answer:

Answer for this one is second one (-8,-7,5)

Step-by-step explanation:

Hope it will help you :)

55 in feet and inches

Answers

Answer:

1 foot 8 inches

Step-by-step explanation:

1 ft and 8inches :) hope this helps

4. Which expression is equivalent to x 2+ 5x – 24?
(1) (x + 3)(x – 8) (3) (x – 3)(x + 8)
(2) (x – 2)(x + 12) (4) (x + 2)(x – 12)

Answers

Answer:

4

Step-by-step explanation:

So who wants to help mehhhhh

Answers

Answer:

I will

Step-by-step explanation:

3x - 9(x-2) = 18x + 30

Answers

Exact form
X= -1/2
Decimal form
X=-0.5
Pls mark me brainliest

3/7 = ?/35 find the unknown value in the proportion.Round to the nearest tenth if needed.

Answers

Answer:

15

Step-by-step explanation:

multiply 7 by 5 to get 35. multiply 3 by 5 and get 15.

Answer:

15

Step-by-step explanation:

3/7=?/35

cross multiply

7?=35*3

?=35*3/7

?=5*3

?=15

Simplify the expression.
(7x4)?
(7x4)2 =

Answers

56 ??? i’m pretty sure that’s the answer

Answer:

14

Step-by-step explanation:

i took the test

The quotation of 3÷3/4=?
A. 3
B. 4
C. 9
D. 12

Answers

Answer: B. 4

Hope this helps you!

Solve for X
please & thank you

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

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