Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

An event organizer is reserving rooms for two company-wide events. For the quarterly meeting this month, she reserved 3 conference rooms and 5 ballrooms, which can seat a total of 399 attendees. For safety training next month, she reserved 1 conference room and 5 ballrooms, which can seat 363 attendees. How many attendees can each room accommodate?

Answer:

(2x−1)(2x−1)

Step-by-step explanation:

Factor 4x2−4x+1

4x2−4x+1

=(2x−1)(2x−1)

Answer

If you are solving for X, take the root from both sides.

Exact Form:

x

=

√

5

+

4

,

−

√

5

+

4

Decimal Form:

x

=

6.23606797

…

,

1.76393202

…

Answer:

Step-by-step explanation:

[tex](x-4)^2=5\\ \\ x-4=\pm \sqrt{5}\\ \\ x=4\pm \sqrt{5}\\ \\ x=4-\sqrt{5},\ 4+\sqrt{5} [/tex]

Answer:

y=-2x+2

Step-by-step explanation:

Inverse of -2x+2 {x-2}{2}

Answer:

(3, -2)

Step-by-step explanation:

both of the equations are equal to y, which means they are equal to each other.

So you write them as equation(1) = equation(2)

and solve for x.

Next substitute the value of x to any of the equations and find y. And that is how I got (3 , -2)

Hope I was able to help:)

Answer:

C. 6x+3

Step-by-step explanation:

Because 3 is outside of the parentheses so it has to multiply everything inside the parentheses.

3*2x is 6x.

3*1 is 3.

This results in 6x+3.

Step-by-step explanation:

C.6x+3 thats tge answer

Answer:

f(X)=7 X=1

X=2. f(X)=14

f(X)=21. X= 3

X=4. f(X)=28

X=5. f(X)=35

just substitute in the equation

Answer:

Graph C is the answer.

Step-by-step explanation:

From the graphs attached,

Graph A

Given graph represents a cubic function.

Graph B

This graph represents a piecewise  function.

Graph C

This graph represents an exponential function.

Graph D

Given graph represents a quadratic function.

Graph C is the answer.

Answer:

c = -4

Step-by-step explanation:

8/-2 = -4

Answer:

its 4 or d

Step-by-step explanation:

hope this helps!

please mark me brainliest! thanks!

Answer:

B and C are correct

Step-by-step explanation:

Use a calculator next time.

Answer:

399 cm squared.....Do you want explanation ??

Answer:

socratic

Step-by-step explanation:

use socratic take a pic then it searchers for you

Answer:

your  cat will be 12 your friend will be either 16 or 24

Step-by-step explanation:

Friend is 12 years old and cat is 4 years old.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.

Given,

Cat is 8 years younger than your friend

Let age of friend be x

then, age of cat be x - 8

But In 4 years, your friend will be twice as old as your cat

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

x + 4 = 2x - 16 + 8

x + 4 = 2x - 8

-2x + x = - 12

x = 12

Age of friend = 12 years

Age of cat = 12 - 8 = 4 years

Hence, 12 years is age of friend and 8 years is age of cat.

Learn more about equation here:

https://brainly.com/question/1529522

#SPJ5

Answer:2 1/3

Step-by-step explanation:2+5=7 3 divided by 7 equals 2 1/3

Answer:

3/4 x = 2/3

If we multiply both sides by 4/3 we will have

x = 2/3 × 4/3 = 8/9 hour

Answer:

No it won't

Step-by-step explanation:

Because if the length of the door is either 30 or 84 it wont fit because both of those numbers are less than 86

Answer:

At the end of 35 years, your savings will have grown to $384,418.

You will have earned in $358,418 in interest.

Answer:

31° is the answer thank you

Answer:

1) 1/2 2) -16

Step-by-step explanation:

28-22=6

17-5=12

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

6/12=1/2

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

2) (11*2-42)+4=(22-42)+4=-20+4=-16

Answer:

1. 0.5 or 1/2

2.-16

Step-by-step explanation:

Answer:

slope = ⅔

y intercept = -2

so

[tex]f(x) = \frac{2}{3}x - 2[/tex]

Answer: i think d sorry if im wrong.

Step-by-step explanation:

Answer:

it'll take 6 years

Step-by-step explanation:

I =put

48= 400(.02) t

48= 8t

t= 6 years

Answer:

-50x-45

Step-by-step explanation:

-3(5x+8)-7(5x+3)

-15x-24-35x-21

-50x-45

Answer:

Answer is D (2 drinks and 5 hotdog's)

Step-by-step explanation: 1st answer is over as it is $19.25 for only the hotdogs. 2nd is $18.50 which is a little over. 3rd one is $22.25. And the forth one is $16.75 which is perfect because he cant buy anything else with the remainder of his money.

You can use trial and error for 3 drinks and 2 drinks and can see how many hot dogs are available for Jacob to buy in $18 budget.

Jacob, with $18 dollars for food, under given conditions, can buy:

Option D: 2 drinks and 5 hot dogs.

This can be modeled by mathematical expression with use of variables, and inequality.

Suppose that you can by [tex]x[/tex] drinks and [tex]y[/tex] hot dogs, then their amount should not exceed $18 and they should try to use that $18 as much as they can.

Since 1 drink costs $1.5 and 1 hot dog costs $2.75, thus,

[tex]1.5x + 2.75y \leq18[/tex]

For 2 drinks:

Since x = amount of drinks = 2, thus from the obtained inequality, we have:

[tex]1.5x + 2.75y \leq 18\\1.5 \times 2 + 2.75y \leq 18\\2.75y \leq 18 - 3\\y \leq \dfrac{15}{2.75}\\\\y \leq 5.555...\\y = 5[/tex]

We took y = 5 since it is closest integer less than 5.55... since we cannot buy drink or hot dog in decimal points generally and cannot spend more than $18

Thus, if Jacob buys 2 drinks, then he can by 5 hot dogs at max.

For 3 drinks:

Since drinks' amount increased, then hot dogs amount will have to decrease to keep them together under $18. And since in 2 drinks Jacob could by 5 hot dogs, thus, now he will have to buy less than 5 hot dogs, which are not given in options.

Thus,

Jacob, with $18 dollars for food, under given conditions, can buy:

Option D: 2 drinks and 5 hot dogs.

Learn more about inequalities here:

https://brainly.com/question/11901702

Answer:

23 and 13

Step-by-step explanation:

can you help me with my latest answer too??i'm on a time limit rn

Answer:

Step-by-step explanation:

let 2 number be x and y

x + y = 36 ---- equation ( 1 )

x - y = 10 -----equation ( 2 )

from ( 1 ) and ( 2 )

2y = 26

y = 13

putting value of Y in equation ( 1 )

x + y = 36

x + 13 = 36

x = 36 - 13

x = 23