For a National Junior Honor Society Induction Celebration, Ahmed is renting tables and chairs. He wants to have only tables for 4 and tables for 6. The total number of people that can be seated in the school cafeteria with these tables is 160.
Write an equation to represent the situation. Let x represent the number of 4 seat tables and y represent the number of 6 seat tables.

Answers

Answer 1

Answer:

There are different combinations you can do.... for example

10 tables of 4 and 20 tables of 6

or

25 tables of 4 and 10 tables of 6

so Im not sure which :/ but the equation would be:

10x+20y=160

or

25x+10y=160

there are different combinations of the two so im  not sure T_T

Answer 2

This question is based on the concept of linear equation. Therefore, the equation would be, 10x+20y=160 or  25x+10y=160 to represent the situation.

Given:

He wants to have only tables for 4 and tables for 6. The total number of tables is 160.

And x represent the number of 4 seat tables and y represent the number of 6 seat tables.

We need to determined an equation to represent the situation.

Let x represent the number of 4 seat tables and y represent the number of 6 seat tables.

According to the question,

There are different combinations we can make as below,

For example :

10 tables of 4 and 20 tables of 6

or

25 tables of 4 and 10 tables of 6

Therefore, the equation would be, 10x+20y=160  or  25x+10y=160 to represent the situation.

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Related Questions

what is the answer 2x5-5=

Answers

the answer to that question is 5

I will give Brainiest to whoever answers correctly !!!

Answers

Hey there!

I believe the answer to your question is 47.21 ml of oxygen are in the 55 ml sample of sea water.

To get this, you can do 0.8584 x 55 = 47.212, because you want to find 85.84% of 55, to know how much oxygen is in the sample. Then, you round it to the nearest hundreth.

Hope it helps! Have a great day! Do tell me if I'm mistaken.

Calculate the hypotenuse. Find the missing side of each triangle, leave your answers in simplest radical form.

Answers

Answer:

easy

Step-by-step explanation:

just mutiply both numbers of the the side by themselves or square them, then add them together and find the square root. sorry that i can't do them individual but this is a simple explaination

Yea what he said |^ .....

In a box there are 9 action, 12 Disney, 8 horror, 11 mystery and 4 SciFi movies. What is the probability of selecting horror or mystery movie?
Round your answer to the nearest thousandth. For example: 0.500 or 0.999

Answers

Answer:

The answer to the question provided is 0.432.

if Pentagon ABCDE was dilated to create Pentagon A'B'C'DE', what rule was used?
a- (x,y) -> (-5,7y)
b- (x,y) -> (5/2x,5/2y)
c- (x,y) -> (5x,5y)
d- (x,y) -> (5/2x,7/3y) ​

Answers

Answer:

B [tex](x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)[/tex]

Step-by-step explanation:

Dilations

Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.

The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.

Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.

The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.

Thus, the rule to dilate the pentagon is:

B [tex]\mathbf{(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)}[/tex]

help pls I really need it

Answers

The answer is 2in because 6in+6in=12in so that means 1in+1in=2in :)

Where did you get the 165?

Answers

Answer:

There is not enough information to tell the answer to this problem.

Step-by-step explanation:

sorry

Answer:

Sorry but I cant solve this bc there is not enough info

Step-by-step explanation: :/

American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 53.0% of American households still have landline phone service. We decide to randomly call eight households and ask if the home has a landline phone.

Required:
a. What is the random variable?
b. What is the probability that none of the households in the sampled group have landline phone service?
c. What is the probability that exactly five of the households in the sampled group have a landline phone service?

Answers

Solution :

a). According to the reports, 53.0% of the American households still have a landline phone service. Out of which 8 households are randomly called.

Here, the landline phone service is p = 53.0%

                                                           n = 8

Therefore, q = 1 - p

                     = 1 - 0.53

                     = 0.47

here we use the binomial distance because the probability of having the landline phone service is constant and the number of the trial are finite.

b). Let x be the number of household in the sample group having landline phone service.

  Probability that none of the household in the sample group have a landline service is

= P( x = 0)

[tex]$=^8C_0 (0.53)^0(0.47)^8$[/tex]

= 0.002 (using the binomial calculation )

c). Probability that exactly 5 of the household in the sample have a landline service is given by :

 P(x = 5)

[tex]$=^8C_5 (0.53)^5(0.47)^3$[/tex]

= 0.24

Consider a company that has two different divisions. The annual profits from the two divisions are independent and have distributions Profit1 ~ N(5, 3^2) and Profit2 ~ N(7, 4^2) respectively. Both the profits are in $ Million. Assume that $1 = Rs. 45
A. Specify a Rupee range (centered on the mean) such that it contains 95% probability for the annual profit of the company.
B. Specify the 5th percentile of profit (in Rupees) for the company
C. Which of the two divisions has a larger probability of making a loss in a given year?

Answers

Answer:

a) Rs 603.68

b) Rs 476.33

c) first division

Step-by-step explanation:

Total profit = profit 1 + profit 2 = P

hence P ~ N(12,74) = [tex]\frac{P-12}{\sqrt{74} } ~ N(0,1)[/tex]

A ) Specifying a Rupee range ( centered on the mean ) that contains 95% probability for annual profit of the company

$13.41 = Rs 603.68

B) specifying the 5th percentile of profit

p = $10.59 ≈ Rs 476.33

C) The  division that has a larger probability of making a loss in a given year is the first division

attached below is a detailed solution of the given problem

A): Range containing 95% probability for profit of company is

(Rs. 99M, Rs. 1026M).

B): Rs. 170.1 Million.

C): First division of the company has larger probability of making a loss.

Given that:

$1 = Rs. 45

[tex]Profit_1 \sim N(5, 3^2) \\ Profit_2 \sim N(7, 4^2)[/tex]

Thus,

Company's profit:

[tex]P \sim N( 5+7, 3^2 + 4^2) = N(12, 5^2)[/tex]

A):

95% of the probability lies between 1.96 standard deviations of the mean.

Thus range is:

[tex]= (12 - 1.96\times 5, 12 + 1.96 \times 5)\\\\= (\$2.2M, \$22.8M)\\ \\= (\rm Rs. \: 99M, \rm Rs. \: 1026M)[/tex]

B): Fifth percentile is calculated as:

[tex]P(Z \leq \dfrac{p-12}{5}) = 0.05[/tex]

From p values of z score table, we get:

[tex]\dfrac{p-12}{5} = -1.644\\p = 12 - 8.22 = 3.78\\[/tex]

Thus at $3.78M dollars, or Rs. 170.1M amount, 5th percentile of profit lies.

Or 5th percentile of profit is Rs. 170.1 Million.

C): Loss is when profit < 0

Thus: p < 0

The first division of company, thus have larger probability of making a loss in a given year.

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Use order of operations to solve:
14+15(5)-2^2​

Answers

Answer: 95

Step-by-step explanation:

follow the order of operations P.E.M.D.A.S

First multiply 15 with 5 and you get 75. Next, 14+75=99

now for the last part 2^2 is 4

99-4=95

if it’s not 95 it’s 85

what are the coordinates of point h?​

Answers

-1,3 that’s easy u should definitely pay attention in class

Answer:

(-1.5, 3) are the coordinates of point h

Pls answer asap
Will give brainliest

Answers

Answer:

8

Step-by-step explanation:

the answer is option c8

thank u

Solve the equation. w/5 =3 w=​

Answers

Answer:

15

Step-by-step explanation:

[tex]\frac{w}{5}[/tex] = [tex]3[/tex] (multiply both sides by 5)

w= 15

Answer:

w= 15

Step-by-step explanation:

1. Multiply all terms by the same value to eliminate fraction denominators

2. Then simplify

Identify the parts of the expression 4.2m + (8 divided 2) - 6 what is the term of expression

Answers

Answer:

I think the answer is 4.00

The parts of the given expression are constant term is -2 and the other term is 4.2m.

The given expression is 4.2m+(8 divided 2)-6.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

4.2m+(8 divided 2)-6

= 4.2m+8/2 -6

= 4.2m+4-6

= 4.2m-2

Here, the constant term =-2 and the other term is 4.2m

Therefore, the parts of the given expression are constant term is -2 and the other term is 4.2m.

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_____indicates the level
of uncertainty that people can
tolerate to work efficiently without
experiencing undue stress
Select one:
a. Tolerance for ambiguity
b. Risk propensity
c. Workahollism
d. Authoritaritznism

= Tolerance for ambiguity ​

Answers

Step-by-step explanation:

indicates the level

of uncertainty that people can

tolerate to work efficiently without

experiencing undue stress

which phrase is a description of 2m + 7 ?
A. 7 more than 2 times m
B. 2 more than 7 times m
C. 2 times the sum of 7 and m
D 7 times the sum of 2 and m

Answers

the phrase which i believe is correct is A. 7 more than 2 times m

In a laboratory The Count of bacteria in a certain experiment was increasing at the rate of 2.5 % per hour find the bacteria at the end of 2 hours if the count wasn't really 5,06,000.​

Answers

Answer:

Прости я не понямайу по англискем

Which statement explains why the two systems of equations below have the same solution

Answers

Answer: "B"

The first equation B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.

The first equation B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2 hence, the correct option is second.

What is a system of equations?

An equation is an expression that shows the relationship between two or more numbers and variables.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We are given the system of equation as;

A,  { 6x + 8y = -10}

      {2x - 5y = 12}

B, {8x + 3y = 2}

    {12x + 16y = -20}

If we add the first two equations that shown in A, then;

6x + 8y + 2x - 5y = -10 + 12

8x + 3y = 2

Now the first equation in A would be multiplied by 2, So

2(6x + 8y = -10)

12x + 16y = -20

Therefore, the correct option is Option B.

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Find each difference.

A: (−5)−6


B: 35−(−8)


C: −438−(−114)

Answers

Answer:

A = -11

B = 43

C = -324

Step-by-step explanation:

-5 - 6 = -11

35 + 8 = 43

-438 + 114 = -324

HELP MEEEEE this is so harddd. the picture is above.

Answers

Answer:

A)

Step-by-step explanation:

V=1/3([tex]\pi[/tex]r²)h

3* V=1/3(πr²h)*3 to get rid of the 1/3 on that side

3V/(πr²)=(πr²)h/(πr²) to get rid of the πr² on the other side(they cancel out)

3V/(πr²)=h is the final answer so that matches A

A recipe for pancake batter uses 2 cups of flour and makes 10 small pancakes. How many cups of flour are needed to make batter for 25 small pancakes?

Answers

Answer: 4.5 cups

Step-by-step explanation:

2:10

4:20

half of a cup would be 5 pancakes

so, 4.5 cups of flour will make 25 pancakes.

14 POINTS! PLEASE HELP!!!!

Answers

Answer:

Do (8, -9) times 5 for both numbers

Step-by-step explanation:

3(x + 3) − 2 < 4
does anyone know this?

Answers

Answer:3 + ? = 7, 3 + n = 7, 3 + x = 1

Step-by-step explanation:

and so on, where the symbols ?, n, and x represent the number we want to find. We call such shorthand versions of stated problems equations, or symbolic sentences. Equations such as x + 3 = 7 are first-degree equations, since the variable has an exponent of 1. The terms to the left of an equals sign make up the left-hand member of the equation; those to the right make up the right-hand member. Thus, in the equation x + 3 = 7, the left-hand member is x + 3 and the right-hand member is 7.

Answer:

Inequality Form:  x < −1

Interval Notation:  (−∞, −1)

Step-by-step explanation:

3 (x + 3) −2 < 4

Simplify 3 (x + 3) − 2.

Apply the distributive property.

    3x + 3 ⋅ 3 − 2 < 4

Multiply 3 by 3.

    3x + 9 − 2 < 4

Subtract 2 from 9.

    3x + 7 < 4

Move all terms not containing x to the right side of the inequality.

Subtract 7 from both sides of the inequality.

    3x  < 4 − 7

Subtract 7 from 4.

    3x  < −3

Divide each term by 3 and simplify.

    x < −1

The result can be shown in multiple forms.

Inequality Form:  x < −1

Interval Notation:  (−∞, −1)

When using the substitution method to solve the system of equations,
what is the result of the first step?
y = 2x + 4
2x + 3y = 8

Answers

Answer:

B

Step-by-step explanation:

This is due to the fact that the first equation is saying it is equal to y so you replace the y variable with the equation

Answer:

since y=2x+4 just substitute y with 2x+4

2x + 3(2x+4) = 8

so the answer is B

PLZ HELP ASAP! WILL GIVE 30 POINTS AND BRAINLIEST! which sequence of transformations will generate the same image as translating a figure 8 units to the left?
a) a reflection over the line x= -1 followed by a reflection over the line x= -9.
b) a reflection over the line x= -3 followed by a reflection over the line x= -5.
c) a reflection over the line x= -7 followed by a reflection over the line x= -3.
d) a reflection over the line x= -9 followed by a reflection over the line x= -13.

Answers

I think it would be C

What is the correct first step to solve this system of equations? x- 2y=3 and x+2y=6​

Answers

Answer:

using elimination, the best first step is multiply the first equation by -3. multiply the second equation by 3 doesn't do anything to eliminate one of the unknowns. solving for x in the first equation or solving for y in the second equation are the substitution method, not the elimination method.

Step-by-step explanation:

(05.06A)Angle ABC is formed by segments AB and BC on the coordinate grid below:

Which statement shows the measure of angle A′B′C′?
A. m∠A′B′C′ = 90 degrees
B. m∠A′B′C′ = 180 degrees
C. m∠A′B′C′ = m∠ABC
D. m∠A′B′C′ = 2 × m∠ABC

Answers

Answer:

(C) m∠A′B′C′ = m∠ABC

Step-by-step explanation:

Regardless of what translation or transformation you do to this shape, the angles will always stay the same.

Answer:

Give the other guy who answer brainlyist he is poggers.

Step-by-step explanation:

PLEASE HELP DUE SOON FIRST GOOD ANSWER GETS BRAINLIEST

show that x^2 + y^2 + z^2 = 3(2x-y) -1 is a sphere

Answers

Step-by-step explanation:

x² + y² + z² = 3(2x - y) - 1

x² + y² + z² = 6x - 3y - 1

x² - 6x + y² + 3y + z² = -1

(x - 3)² + (y + 1.5)² + z² = -12.25

(x - 3)² + (y + 1.5)² + z² = -(3.5)²

Since it follows the general equation form, it is a sphere.

A rectangular garden has a walkway around it. The area of the garden is 6(4.5x +3.5). The combined area of the garden and the walkway is 6.5(6x + 6). Find the area of the walkway around the garden as the sum of two terms. The area of the walkway around the garden is (Simplify your answer. Use integers or decimals for any numbers in the expression.)​

Answers

Answer:

13x+23.5

Step-by-step explanation: I dont know how to explain

Find the unit rate.

Please help ty! :)

Answers

Answer:

0.008333 Servings per Calorie

Step-by-step explanation:

divide 240 by 2. your answer is 120!!

120:1
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