A banquet hall is divided into two sections that both have tables with chairs arranged around them. In the smaller section, there are 9 tables with 6 chairs each. In the larger section, there are currently 4 tables with 8 chairs each. More tables, each with 8 chairs, will be added to this larger section so that there will be 126 total chairs in the banquet hall. Which equation could be used to determine how many more tables, t, each with 8 chairs, are needed in the larger section?

Answers

Answer 1

Answer:

The equation that could be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section is

8t + 86 = 126 OR 8t = 40

Step-by-step explanation:

From the question,

In the smaller section of the banquet hall, there are 9 tables with 6 chairs each.

This means there are 9 × 6 chairs there

9 × 6 = 54

Hence, there are 54 chairs in the smaller section of the banquet hall.

Also, from the question,

In the larger section of the banquet hall, there are currently 4 tables with 8 chairs each.

This means there are 4 × 8 chairs there presently

4 × 8 = 32

Hence, there are currently 32 chairs in the larger section of banquet hall.

From the question,

More tables, each with 8 chairs, will be added to this larger section so that there will be 126 total chairs in the banquet hall.

If t more tables are to be added,

This means that t × 8 (8t) chairs will be added to the larger section so that there will be 126 total chairs in the banquet hall.

The total chair in the banquet hall will be = Total number of chairs in the smaller section + Current number of chairs in the larger section + Number of chairs to be added to the larger section

Therefore,

126 = 54 + 32 + 8t

126 = 86 + 8t

Then,

8t + 86 = 126

8t = 126 - 86

8t = 40

This equation can be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section.

Hence, the equation that could be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section is

8t + 86 = 126 OR 8t = 40.

If desired,

8t = 40

t = 40/8

t = 5

Hence, 5 more tables are needed in the larger section.


Related Questions

Please answer correctly, will give brainlist.

Answers

Answer:

the answer is 77

Step-by-step explanation:

A measures 32 and B measures 109 so you subtract 109 and 32 and your answer will be 77

Suppose you want to find the average household income in America. So you pick 10 households from each state (a total of 500 households) and find their income.

What is the population? What is the parameter you want to find?

Answers

Answer:

Step-by-step explanation:

The purpose of the experiment is to find the average or mean amount of household income in America.

Household Income simply means the total income of a household - which is the sum of income earned by each member of the household. This study aims to find the average of this household, across the Americas.

For your analysis, you pick 10 households from each state of the country (or continent). A total of 500 households implies 500/10 = 50 states

WHAT IS THE POPULATION?

The population in this study is:  the total population of American households OR the total number of households in America. The sample on the other hand, is the 500 households directly involved in the study.

WHAT IS THE PARAMETER YOU WISH TO FIND?

The parameter you wish to find is:  mean (or average) household income in America.

A scientist observes and counts 155 bacteria in a culture. Later, the scientist counts again and finds the number has increased by 40%.How many bacteria are there now?

Answers

IM STILL TRYNA GET THIS ONEE TOO

Answer:

217

Step-by-step explanation:

155 + 40% = 217

The Acme Battery Company has developed a new cell phone battery. On average, the battery lasts 60 minutes on a single charge. The standard deviation is 4 minutes. Suppose the manufacturing department runs a quality control test. They randomly select 7 batteries. The standard deviation of the selected batteries is 6 minutes. a. What would be the chi-square statistic represented by this test? b. What are the degrees of freedom for the chi-square statistic? c. Suppose they repeated the test with a new random sample of 7 batteries. What is the probability that the standard deviation in the new test would be greater than 6 minutes? (Use the applet)

Answers

Answer:

X² = 13.5

Degree of freedom = 6

0.04

Step-by-step explanation:

Give the following :

Number of samples (n) = 7

Population standard deviation (σ) =.4 minutes

Sample standard deviation (s) = 6

Mean battery life = 60 minutes

A) Chisquare (X²) :

X² = ((n - 1) * s²) / σ²

X² = ((7 - 1) * 6²) / 4²

X² = (6 * 6²) / 4²

X² = (6 * 36) / 16

X² = 216 / 16

X² = 13.5

B.) The degree of freedom:

degree of freedom = n - 1

Degree of freedom = 7 - 1 = 6

C.) using a chisquare distribution calculator :

With degree of freedom (df) = 6

X² = 13.5

Hence,

P(X² > 13.5) = 0.04 ( from calculator)

Kevin bought a used guitar at a garage sale for $150. He fixed it up and sold it for $200. What was the percent increase?
(Need explanation to show my work)

Answers

Answer:

33.3

Step-by-step explanation:

You need to divide 200  and 150 to get you 4/3. Then you will have to _____________________________

Area of shaded region of a rectangle

Answers

u forgot to add the pic lma.o.

Jodi bought a new sofa for $1,430, plus fees and insurance. She made paid off the balance in 18 months at $89 per month. How much did she pay in insurance and fees?

Answers

Answer:

$172

Step-by-step explanation:

Ok, So $1430 is the total amount PLUS fees and insurance. So 18 months at $89 per month. so do 18*89=1602. $1602-$1430=$172.

So She paid insurance and fees $172.

Determine whether the following graph represents a function.

Answers

Answer:

function

Step-by-step explanation:

Answer:

Its a Function

Step-by-step explanation:

Its a function because no vertical line Its intersect the curve more than once.

g(x)=2x^2+2x+21
Find g(p+4)​

Answers

Answer:   2p^2 + 18p + 61

======================================================

Explanation:

Everywhere you see an x, replace it with p+4, then simplify.

We'll use the FOIL rule to expand out (p+4)^2

So...

g(x) = 2x^2 + 2x + 21

g(x) = 2( x )^2 + 2( x ) + 21

g(p+4) = 2( p+4 )^2 + 2( p+4 ) + 21 .... every x replaced with p+4

g(p+4) = 2(p^2+8p+16) + 2(p+4)+21 .... FOIL rule

g(p+4) = 2p^2+16p+32 + 2p+8+21 .... distribute

g(p+4) = 2p^2 + 18p + 61

What is a single discount rate and how does it apply to chain discounts?

Answers

Answer:

Single discount rates are one off discounts which are given by seller on certain products with certain conditions which most be met for it to apply such conditions can be for buyers who pay in cash, buyers who buy in bulks e.g buy 10 get one free, or for every 5 bought you get a 5% discount e.t.c.

This is related to chain discount because its also a series of discount which is allowed for list price of products or services.

What property is if x=12 , then 3x=36

Answers

Answer:

3x=x+12 This is not quadratic. This is linear in x. (3x-x) = 12 (bringing x from the right to the left, change side then change sign, in other words add - x to both the sides.

Step-by-step explanation:

3(12) = 36
so then multiply and your answer is
36=36

a rectangular prism is 12 inches long, 6 inches wide and 10 inches tall. what is the length of it's longest diagonal?

Answers

Answer:

15.620

Step-by-step explanation:

use pythagorean theorm :)

(the 6 is pointless for this problem)

Riley and Rhoda plan to buy several bags of dog food and a dog collar. Each bag of dog food costs $7, and the dog collar cost $5

Answers

Answer:

2bags= $14 + $5

3bags= $21+ $5

4bags= $28 + $5

5bags= $35 + $5

6bags= $42 + $5

multiply # of bags by 7

and add $5

Order from least to greatest.
1/3 ,5/4, 0.85

Answers

Answer:

I believe it should be; 1/3, 0.85, 5/4

Answer:

The order from least to greatest of 1/3,5/4,0.85 is. ANSWER: 1/3,0.85,5/4

Jose's savings account pays 3.25% interest.
He has $1,200 in his account. How much
interest will he earn in 9 months?

Answers

Answer:

He will earn $2025

Step-by-step explanation:

1200*3.25=3900

3900-1200=2700

2700/12=225

225*9

Answer:

His interest is $3,900 earn for 9 months.

Find the surface area of the cube shown below 2.3

Answers

Answer:

2 2/3 or 8/3

Step-by-step explanation:

Formula for each side = 2/3 x 2/3

2/3 x 2/3 = 4/9

6 sides

4/9 x 6 or 4/9 + 4/9 + 4/9 + 4/9 + 4/9 + 4/9

=2 2/3 or 8/3

Answer:

2 2/3

Is the answer

I really need help 1260 divided by 17

6699 divided by 72​

Answers

Answer:

1) 7.118 (rounded to the nearest thousandth)

2) 93.042 (rounded to the nearest thousandth)

Step-by-step explanation:

1260 divided by 17 = 7.118 (rounded to the nearest thousandth)

6699 divided by 72 = 93.042 (rounded to the nearest thousandth)

(I don't really know how to explain this in detail. Sorry.

Hope I helped :)

Please consider Brainliest :)

If m<3 =54°. find each measure.

Answers

Answer/Step-by-step explanation:

Given:

m<3 = 54°

m<2 = right angle

a. m<1 + m<2 + m<3 = 180° (angles in a straight line)

m<1 + 90° + 54° = 180° (substitution)

m<1 + 144° = 180°

m<1 = 180° - 144°

m<1 = 36°

b. m<2 = 90° (right angle)

c. m<4 = m<1 (vertical angles)

m<4 = 36° (substitution)

d. m<5 = m<2 (vertical angles)

m<5 = 90°

e. m<6 = m<3 (vertical angles)

m<6 = 54°

f. m<7 + m<6 = 180° (same side interior angles)

m<7 + 54° = 180° (substitution)

m<7 = 180 - 54

m<7 = 126°

g. m<8 = m<6 (alternate interior angles are congruent)

m<8 = 54°

h. m<9 = m<7 (vertical angles)

m<9 = 126°

i. m<10 = m<8 (vertical angles)

m<10 = 54°

j. m<11 = m<4 (alternate interior angles are congruent)

m<11 = 36° (substitution)

k. m<12 + m<11 = 180° (linear pair)

m<12 + 36° = 180° (substitution)

m<12 = 180° - 36°

m<12 = 144°

l. m<13 = m<11 (vertical angles)

m<13 = 36°

m. m<14 = m<12 (vertical angles)

m<14 = 144° (substitution)

find the sum of 2x ÷ x-1 and x÷x-1​

Answers

Answer with step-by-step explanation:

First of all, ORDER OF OPERATIONS!! 2x/x is 2/1, which is 2. Then, subtract 1, which is 1.

2x ÷ x - 1 = 1

Same thing: x/x = 1. Subtract 1 from 1, which is 0.

x ÷ x - 1 = 0

1 + 0 = 1

Hope this helped!

What's the slop of ( 2.5),(6,13)

Answers

Answer:

2

Step-by-step explanation:

m=y2-y1/x2-x1

13-5=8

6-2=4

8/4=2

hope this helps :3

if it did pls mark brainliest

Slope is 2 simplified or 8 over 4

Zachary bought a baseball for $9.96, a bat for $10.05, and a glove for $19.75. About how much did he pay for the three
items?
$50
$40
$30
$20

Answers

Answer:

About 40 Dollars

Step-by-step explanation:

9.96 + 10.05 = 20.01

20.01 + 19.75 = 39.76

About 40 Dollars

Hope this helps! <3

Answer:

40$

Step-by-step explanation:

If u add it all together u get 39.76$ and if u round it u get 40$ so 40$

please help, I can't get it

Answers

x+5 /3
hope this helps!

Can someone who knows Pre Calculus help me on these questions.

Answers

Answer:

the answer should be B:12/5

7th grade math help me plzzzz

Answers

Answer:

a. -14

b. -13

c. -5

d. -3

e. -12

f. 0

Step-by-step explanation:

hope it helps

Answer:

A is -14.

B is -13

C is -5

D is -3

E is -12

F is 0

Step-by-step explanation:

A, B, E both numbers are negative so you just add them together and add a negative sign.

C would read 4-9

D 10-7 and add a - to the answer

F is 6-6

According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal places, for example: 0.123]


Compute the probability that a randomly selected peanut M&M is not yellow.


Compute the probability that a randomly selected peanut M&M is brown or red.


Compute the probability that three randomly selected peanut M&M’s are all brown.


If you randomly select three peanut M&M’s, compute that probability that none of them are blue.


If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

P(brown) = 12% = 0.12

P(Yellow) = 15% = 0.15

P(Red) = 12% = 0.12

P(blue) = 23% = 0.23

P(orange) = 23% = 0.23

P(green) = 15% = 0.15

A.) Compute the probability that a randomly selected peanut M&M is not yellow.

P(not yellow) = P(Yellow)' = 1 - P(Yellow) = 1 - 0.15 = 0.85

B.) Compute the probability that a randomly selected peanut M&M is brown or red.

P(Brown) or P(Red) :

0.12 + 0.12 = 0.24

C.) Compute the probability that three randomly selected peanut M&M’s are all brown.

P(brown) * P(brown) * P(brown)

0.12 * 0.12 * 0.12 =0.001728

D.) If you randomly select three peanut M&M’s, compute that probability that none of them are blue.

P(3 blue)' = 1 - P(3 blue)

P(3 blue) = 0.23 * 0.23 * 0.23 = 0.012167

1 - P(3 blue) = 1 - 0.012167 = 0.987833

If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.

P(1 blue) + p(2 blue) + p(3 blue)

(0.23) + (0.23*0.23) + (0.23*0.23*0.23)

0.23 + 0.0529 + 0.012167

= 0.295067

In a basketball game, LeBron and Shaq combined to score 72 points. If LeBron scored three times as many points as Shaq, how many points did each player score?

Answers

Answer:

Lebron = 24

Shaq = 0

Step-by-step explanation:

x =  LeBron

y = Shaq

3(24) + 0 = 72

Tom has 120 meters of fencing. He will use it to form three sides of a rectangular garden. The fourth side will be along a house and will not need fencing. As shown below, one of the sides has length x (in meters).
Find a function:
What is the side length?
What is the maximum area?

Answers

Answer:

a) Function A(x) =  (60*x - 1/2*x²)

b)Side length     x = 60 m      the other side   y = 30 m

c) A (max)  = 1800 m²

Step-by-step explanation:

Area of rectangular garden with length  " x " and wide "y"

A = x*y        

Perimeter of rectangular area ( only three sides 2*y and 1*x)

P(r)  = 2*y + x

P(r) = 120 = 2*y + x

y = ( 120 - x ) /2

Area of the garden as function of x is

A(x) = [( 120 - x ) /2]*x          ⇒     A(x) = (60*x - 1/2*x²)

Taking derivatives on both sides of the equation:

A´(x) = 60 - x

A´(x)  = 0            60  -  x  = 0

x = 60 m

Then

y = ( 120  -  x ) / 2                ⇒   y = (120 - 60 )/2

y = 30 m

A(max) = 30 * 60

A(max) = 1800 m²

The side length (x) is 30 m each

The maximum area is 1800 m².

He has 120 meters for fencing . He use it to form 3 sides of a rectangular garden.

Therefore,

let

the side parallel to the house = y

the sides perpendicular to the house = x (2 sides)

Therefore,

perimeter = 2x + y

120 = 2x + y

y = 120 - 2x

area = x(120 - 2x)

area = 120x - 2x²

area = -2x² + 120x

The leading coefficient is less than zero, therefore, the parabola is facing downward.  The maximum area is at (h, k).

where

h = - b / 2a

a = -2

b = 120

h = - 120 / 2 × -2

h = 120 / 4 = 30

The sides perpendicular to the building  = 30 meter

The side parallel to the building = 120 - 2(30) = 60 meters

The maximum area = 60 × 30 = 1800 m²

read more: https://brainly.com/question/8602676?referrer=searchResults

What are some good things to remember when you
draw a diagram of a ratio?

Answers

Answer:

the order in which the ratio is drawn should be the same as listed.

Explanation:

What this means is that since a ratio compares the sizes of two numbers (eg 4:2 or 4 ratios 2 or [tex]\frac{4}{2}[/tex]), it would be wrong to change the order of a ratio when drawn in a diagram.

For example,  changing the order to (2:4 or 2 ratios 4), which then  because [tex]\frac{2}{4}[/tex] not [tex]\frac{4}{2}[/tex]. Hence, it is important to remember that diagram of the ratio of two or more quantities should be the same as listed.

[tex](15+23)+7=15+(_______+7)[/tex]

Answers

If your looking for solutions their will be zero. Since 15+23+7=15+7 is false, there is no solution.

Stephanie has $152 in the bank. SHe withdrawls $20. Then she deposited $84. Write an addition expression to represent this situation. Then find the sum and explain its meaning.

Answers

Answer:

$152-$20=$132+$84=$216 total dollars.

Step-by-step explanation:

I hope this helps.

Other Questions
Help please French only!!! Choose the symbol that goes in the blank to make the statement true.163_136 When the body is in a prone position, which of these is NOT visible?a. navelO b.buttocksO c. soles of feetO d. All are visible in this position. Which of the following is TRUE about judicial review?A.It was established in the late 20th century.B.Judicial review is outlined in Article III of the Constitution.C.It provides the president a means of checking the power of the Supreme Court.D.The principle of judicial review is not in the Constitution. 2/3x = 24 what does x equal? I been stuck on this for the past 30min help!! What makes a beautiful poem show work for each abcd A rectangular object is 3.0 cm long, 2.0 cm wide, and 4.0 cm high. Calculate the VOLUME of the object? I need help please bro Creswell Corporation's fixed monthly expenses are $30,000 and its contribution margin ratio is 63%. Assuming that the fixed monthly expenses do not change, what is the best estimate of the company's net operating income in a month when sales are $92,000?a. $27,960.b. $62,000.c. $57,960.d. $4,040. What are some of the ways culture is expressed? (Choose all that apply)religious beliefsarchitetureartliteratureclothingmusicfood When water vapor cools and begins to turn from a gas to a liquid, what process is occurring?A.condensationB.evaporationC.precipitationD.absorption QuestionIdentify the correct graph and solution for the inequality.10 a list down the steps in effective home management. 3.Long's Coffee Shop sells a refill mug for $8.95 Each refill costs $1.50 last month lanice spent $26.95 ona mug and refills. How many refills did she buy? Anthony, Josh, and Dominic worked a combined 7 hours today. Dominic worked twice as many hours as Anthony did with an extra hour. Dominic worked 5 more hours than Josh did. How many hours did each of them work? What characteristic of Neoclassical literature does The Interesting Narrative of the Life of Olaudah Equiano contain?-a reliance on classical allusions-a response to changing social hierarchy -underlying Greek and Roman influences-reflective satirical prose How does the argument differ from the others you have read A toy helicopter takes off and moves 6 m up and then 1 m back down. Whatis the displacement of the helicopter?A. 7 m5 m upC. 6 mD. 1 m down