Which equation will solve the following word problem? There are 36 tables and 7 booths in the family restaurant. Each table seats 4 people. If the restaurant can seat up to 184 people, what is the capacity of each booth?


(B * 7 ) - (36 * 4) = 184


7B + (36 * 4) = 184


184 - (36 * 4) = B/7


184/4 = B * 7

Answers

Answer 1

Answer:

7B + (36 * 4) = 184

Step-by-step explanation:

In a family restaurant there are 36 tables and 7 booths.

Each table can seat 4 people.

Let the number of people who can be seated in a booth be represented by B.

Total seating capacity of the restaurant is 184 people.

Expressing this as an equation:

Among the given options, this relation is expressed in the second option, namely, 7B + (36 * 4) = 184


Related Questions

Three text messages cost 5 cents to send. how much do 150 cost? ​

Answers

Answer:

30 ,,,,,,,, I hope it's helpful for you

3 text messages = 5 cents

So,

1 text messages

= 5 cents/3

= 5/3 cents

So,

150 text messages

= 150 × (5/3 cents)

= 50 × 5 cents

= 250 cents

Max can travel 100 miles in 2 hours. At this rate, how many hours will it take him to travel 650 miles?

Answers

100miles in 2hrs
650miles in x hrs

If you think of it 650/100 = 6.5

So the distance is 6.5 times

So the time is 6.5 times 2hrs

=13 hrs total

evaluate log25+log8 _log2​

Answers

Step-by-step explanation:

log 25 + log 8 = log (25 × 8) = log 200

log 200 - log 2 = log (200 ÷ 2) = log 100

logarithm base 10 of 100 is 2.

[tex]\frac {n! + (n + 1)!} {n!}[/tex]
help me in this please

Answers

(n! + (n + 1)!) / n! = n!/n! + (n + 1)!/n! = 1 + (n + 1) = n + 2

because (n + 1)! = (n + 1)n!.

Find the value of x.

Answers

Answer:

The value of x is 18°

Step-by-step explanation:

Sum of the angles are 180°

3x+126=180

3x=180-126

3x=54

x=18

Answered by GAUTHMATH

Im so confused on what do to here

Answers

Ans. (a)

SQ and RQ

Ans. (b)

∠RQT

∠TQR

Ans. (c)

Q

you have some marbles. when you make a shape of an equilateral triangle, you either have 5 extra, or you need 10 more to complete the shape, how many marbles do you have? how long is one side of your triangle?
I'm giving brainliest to correct answer!

Answers

Answer:

110 marbles

side 14

Step-by-step explanation:

Draw triangles using marbles as the sides.

If the side is 2 marbles long, the triangle uses 3 marbles. 1 + 2 = 3

If the side is 3 marbles long, the triangle uses 6 marbles. 1 + 2 + 3 = 6

If the side is 4 marbles long, the triangle uses 10 marbles. 1 + 2 + 3 + 4 = 10

If the side is n marbles long, the triangle uses n(n + 1)/2 marbles.

These numbers are called triangular numbers.

We are looking for the side, n.

n(n + 1)/2 + 5 = (n + 1)(n + 2)/2 - 10

n^2 + n + 10 = n^2 + 3n + 2 - 20

n + 10 = 3n - 18

-n = -14

n = 14

For n = 14

n(n + 1)/2 =

= 14(15)/2

= 105

For n = 15

n(n + 1)/2 =

= 15(16)/2

= 120

105 + 5 = 120 - 10

You have 110 marbles. If you had 5 fewer, 105, you'd have a triangle with sides 14. If you had 10 more, 120, you'd have a triangle with sides 15. Since you have 110, you have 5 too many for side 14 and 10 too few for side 15.

The sides of the triangle is 14.

Given Q(x) = 7x − 3 and P(x) = 7x3 − 3x2 + 42x − 27, find P(x) Q(x) . (Divide using long division.)

Answers

Complete question:

Given Q(x) = 7x − 3 and P(x) = 7x3 − 3x2 + 42x − 27, find P(x) ÷ Q(x) . (Divide using long division.)

Answer:

[tex]\frac{7x^3 \ - \ 3x^2 \ + \ 42x \ - \ 27}{7x \ - \ 3} = \ \ x^2 + 6 \ \ \frac{-9}{7x \ - \ 3}[/tex]

The quotient = x²  + 6 and the remainder = - 9

Step-by-step explanation:

Given;

Q(x) = 7x − 3

P(x) = 7x³ − 3x² + 42x − 27

To divide P(x) by Q(x) using long division, we apply the following method;

                                 

                                      x²  + 6

                                  ---------------------------------

                  7x − 3   √ 7x³ − 3x² + 42x − 27

                               − (7x³ - 3x²)

                               -------------------------------------

                                               42x − 27

                                           − (42x  − 18)

                               ----------------------------------------

                                                       − 9

[tex]Therefore, \ \frac{7x^3 \ - \ 3x^2 \ + \ 42x \ - \ 27}{7x \ - \ 3} = \ \ x^2 + 6 \ \ \frac{-9}{7x \ - \ 3}[/tex]

The quotient = x²  + 6 and the remainder = - 9

                               

Hey Guys! Can You Please Help Me In My Math​

Answers

This would be a great tree diagram
Sorry...

pic is not clear.....

Solve for x and y:
x – 3y = -8
3x + 2y = 31
Select one:
O a. (-11,-1)
O b. (11,1)
o c. (5,8)
O d. (7,5)

Answers

Answer:

O d. (7,5)

Step-by-step explanation:

x – 3y = -8 (1)

3x + 2y = 31 (2)

From (1)

x = -8 + 3y

Substitute x = -8 + 3y into (2)

3x + 2y = 31 (2)

3(-8 + 3y) + 2y = 31

-24 + 9y + 2y = 31

-24 + 11y = 31

11y = 31 + 24

11y = 55

y = 55/11

y = 5

Substitute y = 5 into (1)

x – 3y = -8 (1)

x - 3(5) = -8

x - 15 = -8

x = -8 + 15

x = 7

(x, y) = (7, 5)

You use a cone-shaped cup to drink water. The cup
has a diameter of 6 centimeters and a height of
12 centimeters. What is the volume of the cup?
Use 3.14 to approximate pi. Round your answer
to the nearest tenth.

Answers

Answer:

V = 133 cm³

Step-by-step explanation:

The formula for the volume of a cone is V = (πr²h) / 3, which is just the formula for the volume of a cylinder but divided by 3, by the way.

If the diameter is 6, divide that by 2 to get a radius of 3 cm. The height and pi are already given.

V = ((3.14)(3)²(12)) / 3

V = (339.12) / 3

V = 113.04 cm³, or if rounded, it should just be 133 cm³

Answer:

113.0

Step-by-step explanation:

You have to round. Also its correct on Imagine Math.

Solve using suitable properties. Also mention the names of the property used. -3/4 × 4/5 - 1/2 × 1/4 +4/5 × 7/5​

Answers

Answer:

0.395

Step-by-step explanation:

We need to solve the given expression.

[tex]-\dfrac{3}{4}\times \dfrac{4}{5}-\dfrac{1}{2}\times\dfrac{1}{4}+\dfrac{4}{5}\times \dfrac{7}{5}[/tex]

We can also write it as :

[tex]-\dfrac{3}{4}\times \dfrac{4}{5}+\dfrac{4}{5}\times \dfrac{7}{5}-\dfrac{1}{2}\times\dfrac{1}{4}\\\\=\dfrac{4}{5}(\dfrac{-3}{4}+\dfrac{7}{5})-\dfrac{1}{2}\times\dfrac{1}{4}[/tex](Distributive property is used)

So,

[tex]=\dfrac{4}{5}\times \dfrac{13}{20}-\dfrac{1}{2}\times\dfrac{1}{4}\\\\=\dfrac{4}{5}\times \dfrac{13}{20}-\dfrac{1}{8}\\\\=\dfrac{13}{25}-\dfrac{1}{8}\\\\=0.395[/tex]

So, the value of the given expression is equal to 0.395.

the pair of the lines x^2-3y^2=0 and the straight line x=a enclose a triangle which is

Answers

Step-by-step explanation:

x²-3y²=0x=√3y and x-√3yΔOAB is equilateral triangle∴ orthocentre and centroid of ΔOAB concides ∴ orthocentre =( 29/3 ,0)=( x1 + x2 + x3 / 3 , y1 + y2 + y3 / 3 )I NEED BRAINLIEST ✌️ PLZ

Jalen's Mobile Phone Cost Number of minutes, x 150 220 250 275 Cost, y $7.50 $11.00 $12.50 $13.75 If the cost varies directly with the number of minutes Jalen talks on the phone, which equation represents the variation?

Answers

Answer:

ok so on the left ill put minutes and on the right ill put dollars

150=7.50

220=11.00

250=12.50

275=13.75

so now lets break this down by dividing the smallest numbers by 2 a couple times

75=3.75(2)

25=1.25(3)

1=0.05(25)

so for every minute on the phone you pay 5 cents

Hope This Helps!!!

Answer:

for every minute on the phone you pay 5 cents, add brainly plz.

Step-by-step explanation:

Express each of the following quadratic functions in the form of f(x) = a (x - h)²+ k.Then,state the minimum or maximum value,axis of symmetry and minimum or maximum point. (a) f(x) = -2x² + 7x + 4.
Pls help me ans this question,its urgent!!
I'll mark u as the brainliest!​

Answers

ok this is answer any questions

Um criador de ovelhas possui um total de 36 ovelhas e resolveu vender alguma delas no primeiro dia vendeu metade das ovelhas no segundo dia vendeu um terço e no terceiro dia vendeu a nona parte quantas abelhas sobraram?

Answers

Answer:

2 sheep

Step-by-step explanation:

If you have 36 sheep  and you sell:

first day    1/2 of them  you sold               18

second day  1/3  them you sold                12

On thhe third day  1/9  them you sold       4

Therefore you sold 18 + 12  + 4  = 34

And you still have  2 sheep

Which of the following best describes the line of symmetry?
A. The line that is perpendicular to the design
B. The line that is parallel to the design
C. The line that divides the design into two similar parts
D. The line that divides the design into two congruent parts

Answers

Answer:

C the line that divides the design into two similar parts

The line of symmetry divides the design into two similar parts.

What is a line of symmetry?

"The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves. "

A line divides a design into two parts.

If the line is described as the line of symmetry, then the two parts that are divided by this line are similar parts.

Learn more about line of symmetry here: https://brainly.com/question/1389470

#SPJ2

Aditi has $50.00 in her wallet. She buys a shirt for $12.00 and also wants to buy some bracelets that are on sale for $0.60 each. The inequality below relates x, the number of bracelets she can buy, with her shirt purchase and the money in her wallet.
what is the greatest number of bracelets she can buy?

Answers

The greatest number of bracelets she can buy is 63
It’s 63 , because when you subtract 50-12 you get 38, and then when you divide 38 into .60 you get 63.333... and you can’t buy a .33 of a bracelet so it’s going to be 63.

URGENT PLS ANSWER QUICKLY​

Answers

Answer:

9th is 44 mark me as brainlist

Answer:

Question 9 is perimeter

Find the distance between the lines with equations 7x-2y-2=0 and y=7/2x-10?

a. 2.47 b. 2.48 c. 2.5 d. 2.49

Answers

Answer:

the distance between the lines is 2.48

if 5 miles is 8km . Convert 33.7 km into miles

Answers

Answer:

20.94021

Step-by-step explanation:

mark me brainlist

Answer:

53.92

Step-by-step explanation:

5 miles =  8 km

1 miles = 1.6 km

33.7 x 1.6 = 53.92

The Jacksons have a scaled down model of a football field on their property. The measurements of an actual sized field
are shown below.
50 yds
120 yds
The length of the field in the backyard is 30 yards. What is the width?
18.75 yards
6.25 yards
25 yards
12.5 yards

Answers

Answer:

Scale model width = 12.5 yards

Step-by-step explanation:

Given:

Actual length of field = 120 yards

Actual width of field = 50 yards

Scale model length = 30 yards

FInd:

Scale model width

Computation:

Scale model width = [Scale model length / Actual length of field] Actual width of field

Scale model width = [30/120]50

Scale model width = [1/4]50

Scale model width = 0.25 x 50

Scale model width = 12.5 yards

PLEASE HELP FAST WILL MARK BRAINLIEST!!!!!!


Which table of ordered pairs represents a proportional relationship? (Look at the picture and tap to see the full picture)

Answers

Answer: the second one

Step-by-step explanation:

Answer:

The asnwer is D

Step-by-step explanation:

D is a proportional relationship because

-3*-4 is 12

-6*-4 is 24

-9*-4 is 36

Hope this helps! :)

9. Solve the system of equations using substitution.
3y = -5x+2.
y = -x + 9

Answers

Answer:

y=43/2

Step-by-step explanation:

Consider quadrilateral EFGH.

Quadrilateral E F G H is shown. Sides F G and E H are parallel. Angles E and H are congruent. The length of E F is 4 n minus 4, the length of F G is 3 n + 3, and the length of G H is 2 n + 6.

What is the length of line segment GH?

5 units
7 units
16 units
24 units

Answers

Given:

In quadrilateral EFGH, [tex]FG\parallel EH,\angleE\cong \angle H,EF=4n-4,FG=3n+3, GH=2n+6[/tex]

To find:

The length of segment GH.

Solution:

Draw a figure according to the given information as shown below.

In quadrilateral EFGH, [tex]FG\parallel EH,\angleE\cong \angle H[/tex], it means the quadrilateral EFGH is an isosceles quadrilateral because base angles are equal.

Now, quadrilateral EFGH is an isosceles quadrilateral, so the sides EF and GH are equal.

[tex]EF=GH[/tex]

[tex]4n-4=2n+6[/tex]

[tex]4n-2n=4+6[/tex]

[tex]2n=10[/tex]

Divide both sides by 2.

[tex]n=\dfrac{10}{2}[/tex]

[tex]n=5[/tex]

Now,

[tex]GH=2n+6[/tex]

[tex]GH=2(5)+6[/tex]

[tex]GH=10+6[/tex]

[tex]GH=16[/tex]

Therefore, the correct option is C.

Answer:

the answer is C

Step-by-step explanation:

:]

solve for the measure of x in the drawing shown below

Answers

Answer:

50

Step-by-step explanation:

x° = 1/2 * 100°

x° = 50°

x = 50

Determine the solution on the following equation

Answers

Answer:

x = 3

Step-by-step explanation:

Step-by-step explanation:

3(8x-8)/2=64

3(8x-8)=64×2

24x-24=128

24x=128+24

24x=152

24x/24=152/24

x=6.3

a square pyramid A is similar to pyramid the volume of pyramid are 1224 cubic.meters and 73 cubic meters the height of pyramid A is 18 meters. what are the possible lengths of one side if pyramid B's base? plz help

Answers

Answer:

i dont  know tryna get points

Step-by-step explanation:

Question in the image

Answers

Answer:

0.4

Step-by-step explanation:

consider this like some lines overlapping each other.

one line (A) is 0.5 long, the other (B) 0.4 long.

together they are 0.8 long.

that means that they overlap at a length of 0.1 (they share a segment 0.1 long).

of the combined line of 0.8 that has 0.1 of a joined segment, the complimentary part of B is therefore 0.4 (0.8 minus the original length of B).

Helppppp and explain !!!!

Answers

Answer:

dat I don't know the answer sorry I could not answer u

Other Questions
Trnh by s hnh thnh phn t CCl4 (lai ho sp3) Which statement is true regarding the functions on thegraph?f(6) = g(3)f(3) = g(3)f(3) = g(6)f(6) = g(6) Specify the relationship between individual and society. 1) Venn-diagram of- AUBUC={a,b,c,d,e}U{d,e,f,g,h,i}U{a,e,i,o,u} find f(-2)for f(x)=5*3^x In mice, apricot eyes is recessive to black eyes. Tail length is governed by another gene, linked to the eye color gene. Long tails is dominant to short tails. To determine the distance between the two genes, a double heterozygote is mated in a testcross and the classes of progeny produced were as follows:Apricot eyes, Long tails 33Apricot eyes, Short tails 20Black eyes, Long tails 17Black eyes, Short tails 30Determine whether the heterozygous parent is in the cis or trans arrangement.a. Cisb. Trans express the ratio as a fraction in the lowest term.3600s:2hours if the invoice is incorrect, recalculate 20 dresses at $15 each 350.00Less 10% trade discount 12.00Add tax at 18% 41.04Total 360.67 Terms 30 days net write any two example of sociocultural development. Jorge needs to reflect a figure across the line y = negative 4. Which statements are correct regarding steps he could take to complete the reflection? Check all that apply.Jorge should graph in the vertical line with values of 4 for the line of reflection.Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side.Jorge will not move any point that lies on the line of reflection.Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.Jorge could check his work by making sure that the image has the same orientation as the original. A professor is interested in whether or not college students have a preference (indicated by a satisfaction score) for reading a textbook that has a layout of one column or layout of two columns. In the above experiment, what is the dependent variable Which of the following factors did NOT play a significant role in building support for replacing the Articles of Confederation with a different instrument of government? A) an oppressive national government B) unpaid debt C) economic turmoil debate: are human beings lazy and why human beings are not lazy....give reason why human beings are not lazy and reasons why human beings are lazy Find the Taylor series for f(x) centered at the given value of a. (Assume that f has a power series expansion. Do not show that Rn(x)0 . f(x)=lnx, a= will make brainliest, please help explique con sus propias palabras la deficin , la importancia y el beneficio de las practicas corporales An initial deposit of $212 is placed ina bank account and left to grow, withinterest compounded continuously.what will it be after 6 years?Round your answer to the nearest dollar. What is the name of the process manufacturers use to make unsaturated fatty acids more solid at room temperature and prevent oxidation. For each of the following products and services, indicate whether it is more likely produced in a process operation or in a job order operation.1. Beach towels2. Bolts and nuts3. Lawn chairs4. Headphones5. Designed patio6. Door hardware7. Cut flower arrangements8. House paints9. Concrete swimming pools10. Custom tailored dresses11. Grand pianos12. Table lamps Regret is a natural disaster, always showing up to ruinthings when you least expect it.Which type of figurative language is used in this statement?A. MetaphorB. AllusionC. SimileD. Personification