And event organizer is reserving rooms for two companywide events. For the quarterly meeting this month she reserved 2 conference rooms and 5 ballrooms which can seat a total of 238 attendees. for safety training next month she reserved 4 conference rooms and 5 ball rooms which can seat 286 attendees. How many attendees can each room accommodate?

Answer:

A. (4, 7)

Step-by-step explanation:

y = 2x - 1

y = x + 3

y = x + 3

2x - 1 = x + 3

2x = x + 4

x = 4

y = 2x - 1

y = 2(4) - 1

y = 8 - 1

y = 7

i hope this helps !!

Answer:

if you are multiplying it would be 99

Step-by-step explanation:

multiply 11x3 then musliply that by three

Answer:

if you are multiplying it would be 99

Step-by-step explanation:

multiply 11x3 then musliply that by three

Step-by-step explanation:

Answer:

D. Exponential Growth.

Step-by-step explanation:

Suppose the equation is  y = 10^x   which is an exponential function.

When  x = 1 , y = 10, when x = 2, y = 10^2 = 100, when x = 3, y = 10^3 = 1000 which is 10 times more powerful for each unit increase of x.

The answer is Exponential growth.

[tex]\ln x[/tex] has a domain of [tex]x>0[/tex], so [tex]\ln\left(12-\dfrac{4x}5\right)[/tex] has a domain of

[tex]12-\dfrac{4x}5>0\implies12>\dfrac{4x}5\implies x<15[/tex]

Answer:

The domain of the function is  [tex]x<3[/tex]                                

Step-by-step explanation:

Given : Function [tex]y=\ln (\frac{12-4x}{5})[/tex]

To find : What is the domain of the function ?

Solution :

Domain is defined as the set of possible values which define the function.

We know that, log negative is not defined.

So, we will get the inequality  in the function.

[tex]\ln (\frac{12-4x}{5})>0[/tex]

[tex]\frac{12-4x}{5}>0[/tex]

[tex]12-4x>0[/tex]

[tex]-4x>-12[/tex]

[tex]x<3[/tex]

Therefore, The domain of the function is  [tex]x<3[/tex]

Answer:

It is 2.91547 You could round if you want.

Step-by-step explanation:

Answer: 2.61

Step-by-step explanation:

Given data (x) :  7,5,10,11,12

Mean of the data : [tex]\overline{x}=9[/tex]

Number of data values : n= 5

Now, [tex]\sum (x-\overline{x})^2=(7-9)^2+(5-9)^2+(10-9)^2+(11-9)^2+(12-9)^2[/tex]

i.e. [tex]\sum (x-\overline{x})^2=34[/tex]

Now, the standard deviation for this data is given by :-

[tex]\sigma=\sqrt{\dfrac{\sum  (x-\overline{x})^2}{n}}\\\\\sigma=\sqrt{\dfrac{34}{5}}=2.60768096208\approx2.61[/tex]

Answer:

y + 1 - 5(x - 2)

Step-by-step explanation:

Borrow (2, -1):  Substitute 2 for x and -1 for y, and -5 for m in  y = mx + b:

-1 = -5(2) + b.  Then b = 9, and the desired equation in point-slope form is:

y - (-1) = -5(x - 2), or

y + 1 - 5(x - 2)

The point-slope form of a line with slope -5 that contains the point

(2,-1) is y+1=-5(x-2). Therefore, option B is the correct answer.

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

The equation of the point slope form is: (y - y₁) = m(x - x₁)

where, (x, y) is a random point on the line and m is the slope of the line.

Given that, a line with slope -5 that contains the point (2, -1).

Substitute m=-5 and (x₁, y₁)=(2, -1) in the point slope form, we get

(y-(-1))=-5(x-2)

y+1=-5(x-2)

y+1=-5x+10

5x+y-9=0

Therefore, option B is the correct answer.

To learn more about the point slope form visit:

https://brainly.com/question/24436844.

#SPJ7

Answer:

a(3x-8)=0

a=0 and b=8/3

Step-by-step explanation:

This second line is not necessarily true. We could have a=0 OR x=8/3. They don't both have to be 0.

My work is shown up above.

I think this is the answer.

We can use the points (-2, 3) and (0, 4) to solve.

Slope formula: y2-y1/x2-x1

= 4-3/0-(-2)

= 1/2 (Answer)

Hope This Helped! Good Luck!

Answer:

a. y = x + 3

Step-by-step explanation:

All three ordered pairs satisfy the first equation.

___

If you want to look into it a little further, you can notice that if you sort the ordered pairs by their x-values, you get ...

(-1, 2), (0, 3), (1, 4)

That is, the y-values increase (by 1) as the x-values increase (by 1).

All of the other answer choices have -1 as the coefficient for x, which means the y-values will decrease as x increases. None of these choices (b–d) is viable.

Answer:

A. Y=X+3

Step-by-step explanation:

Answer:

The base is [tex]11\ in[/tex]  and the height is [tex]14\ in[/tex]

Step-by-step explanation:

we know that

The area of the triangle is equal to

[tex]A=\frac{1}{2}(b)(h)[/tex]

where

b is the base of triangle

h is the height of triangle

In this problem

[tex]b=h-3[/tex] ----> equation A

[tex]A=77\ in^{2}[/tex]

so

[tex]77=\frac{1}{2}(b)(h)[/tex]

[tex]154=(b)(h)[/tex] -----> equation B

Substitute equation A in equation B

[tex]154=(h-3)(h)[/tex]

[tex]h^{2}-3h-154=0[/tex]

Solve the quadratic equation by graphing

The solution is [tex]h=14\ in[/tex]

see the attached figure

Find the base b

[tex]b=14-3=11\ in[/tex]

Answer: Bea's uncle is 25 years old.

Step-by-step explanation:

Given the equation [tex]3x- 15= 60[/tex], we can say that the variable "x" represents the age of Bea's uncle. Then to find his age, we need to solve for "x":

We must add 15 to both sides of the equation:

[tex]3x- 15+(15)= 60+(15)\\3x=75[/tex]

Now we need to divide both sides of the equation by 3:

[tex]\frac{3x}{3}=\frac{75}{3}\\\\x=25[/tex]

Therefore, we can conclude that Bea's uncle is 25 years old.

Answer:

[tex]\large\boxed{x=\dfrac{15-\sqrt{221}}{2}\ or\ x=\dfrac{15+\sqrt{221}}{2}}[/tex]

Step-by-step explanation:

[tex]f(x)=5x\\\\g(x)=x^2-10x+1\\\\f(x)=g(x)\to5x=x^2-10x+1\qquad\text{subtract 5x from both sides}\\\\x^2-15x+1=0\\\\\text{Use the quadratic formula}:\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=1,\ b=-15,\ c=1\\\\b^2-4ac=(-15)^2-4(1)(1)=225-4=221\\\\x=\dfrac{-(-15)\pm\sqrt{221}}{2(1)}=\dfrac{15\pm\sqrt{221}}{2}[/tex]

Answer:

z= 31

Step-by-step explanation:

GF=DE so.......   z+31=2z

                          -z       -z

                            31 = z

Answer:

-6

Step-by-step explanation:

If the square root of a number is 6, then the number must be 36 (6*6=36)

However, negatives*negatives also equal positives, so

-6*-6 also =36

hence, your answer should be -6

Final answer:

The other square root of a number whose one square root is 6 is -6, because both 6 and -6 squared give the positive number 36.

Explanation:

The question you're asking pertains to finding square roots of a number. Given that one square root of a number is 6, the other square root would also be 6, but with an opposite sign, so it's -6. This is because when either 6 or -6 is squared (multiplied by itself), the result is 36. So, the number you're looking for is 36, and it has two square roots: 6 and -6. This is because the equation x² = √x holds true for both positive and negative values of x that yield the same positive result when squared.

To find the other square root of the number, we need to consider the fact that a positive number has two square roots - one positive and one negative.

Since the given square root is positive and equal to 6, the other square root would be its negative counterpart, which is -6.

Answer:

15%

Step-by-step explanation:

3 of the 20 boxes are damaged

3/20 = x/100

Multiply the top and bottom by 5

3/20 *5/5 = 15/100

15%

Answer:

The measure of angle BCD is [tex]68.5\°[/tex]

Step-by-step explanation:

step 1

Find the value of x

we know that

[tex]m<ABD+m<BCD+m<EDF=180\°[/tex] -----> form a straight line

substitute the values

[tex](3x+4)\°+(6x-8)\°+(7x-20)\°=180\°[/tex]

[tex](16x-24)\°=180\°[/tex]

[tex]16x=180\°+24\°[/tex]

[tex]16x=204\°[/tex]

[tex]x=12.75\°[/tex]

step 2

Find the measure of angle BCD

[tex]m<BCD=(6x-8)[/tex]

substitute the value of x

[tex]m<BCD=6(12.75)-8=68.5\°[/tex]

Answer:

Step-by-step explanation:

great job!

Answer:

[tex]\large\boxed{B.\ x=\dfrac{5}{p}}[/tex]

Step-by-step explanation:

[tex]px+12=17\qquad\text{subtract 12 from both sides}\\\\px+12-12=17-12\\\\px=5\qquad\text{divide both sides by}\ p\neq0\\\\\dfrac{px}{p}=\dfrac{5}{p}\\\\x=\dfrac{5}{p}[/tex]

Answer:

b  x = 5/p

Step-by-step explanation:

px+12=17

Subtract 12 from each side

px+12-12=17-12

px = 5

Divide by p

px/p = 5/p

x = 5/p

For triangles, the formula to find area is base*height/2. So just plug the numbers in to get 11.5*6.7/2=38.525 meters squared.

For a rhombus, the area formula is just base*height, resulting in 4.75*9.2=43.7 meters squared

Answer: 7 square units

Answer: 7

Step-by-step explanation:

Answer:

the answer is 4. 4*4 is 16 16*4 is 64

Step-by-step explanation:

The average of [tex]3a[/tex] and [tex]2b[/tex] satisfies

[tex]\dfrac{3a+4b}2<50[/tex]

Then

[tex]a=2b\implies\dfrac{3(2b)+4b}2=5b<50\implies b<10[/tex]

[tex]a=2b[/tex], so if [tex]a[/tex] must be an integer, then the largest integer value it can take on is 19 if [tex]b[/tex] can be a rational number (in which case [tex]b=9.5[/tex]) or 18 if [tex]b[/tex] must also be an integer.

Given that none of the provided answer choices lists 18 or 19, I'd bet there's a typo and you're supposed to find the maximum integer value of [tex]b[/tex], in which case the answer would be B as the largest integer value would be 9.

Final answer:

The scale factor of all radii of circle Y to all radii of circle Z is 0.4.

Explanation:

To find the scale factor of all radii of circle Y to all radii of circle Z, we can compare their radii.

Circle Y:
Center: (2,3)
Radius: 4

Circle Z:
Center: (2,-3)
Radius: 10

The scale factor is determined by comparing the radii of the two circles. The radius of circle Y is 4 and the radius of circle Z is 10. To find the scale factor, we divide the radius of circle Y by the radius of circle Z: 4/10 = 0.4.

Therefore, the scale factor of all radii of circle Y to all radii of circle Z is 0.4.

Answer:

y is greater then -5

but less then 3

letter answer

H

Answer:

(-5, 3)

Step-by-step explanation:

The smallest value y can have is just above -5 and the largest is just below 3.  Thus, the range of this function is (-5, 3).  This does not include -5 or 3.

-0.75-(-2/5)+0.4+(-3/4) =  -0.7 simplified, how I got this answer can be found below in 16 steps.

1 - First thing we want to do is remove the parentheses.

-0.75 - (-2/5) + 0.4 - 3/4

2 - Then we simplify, multiply -1 by -1.

-0.75 + 1 (2/5) + 0.4 - 3/4

3 - Then multiply 2/5 by 1.

-0.75 + 2/5 + 0.4 - 3/4

4 - Then we want to write - 0.75/1 as a fraction with a common denominator, we do this by multiplying by 5/5.

-0.75/1 * 5/5 + 2/5 + 0.4 - 3/4

5 - Then we write each expression with a common denominator of 5, we multiply each one by a factor of one.

-0.75 * 5/1*5 + 2/5 + 0.4 - 3/4

6 - Then we multiply 5 by 1.

-0.75 * 5 / 5 + 2/5 + 0.4 - 3/4

7 - Then we combine the numerators over the common denominator.

-0.75*5+2/5+0.4-3/4

8 - We multiply -0.75 by 5.

-3.75 + 2/5 + 0.4 - 3/4

9 - Then we add -3.75 and 2.

-1.75/5+0.4-3/4

10 - And then we divide -1.75 by 5.

-0.35 + 0.4 - 3/4

11 - Then add -0.35 and 0.4.

0.05 - 3/4

12 - We then write 0.05/1 as a fraction with a common denominator, we do this via multiplying it by 4/4.

0.05/1 * 4/4 - 3/4

13 - Then we write each expression with a common denominator of 4, through multiplying each by a factor of 1.

0.05 * 4/4 - 3/4

14 - We combine the numerators over the common denominator.

0.05 * 4 - 3 / 4

15 - We simplify.

-2.8 / 4

16 - Then we divide -2.8 / 4

The final answer is -0.7

Answer:

Ruben needs a new job

Step-by-step explanation:

Answer:

540 degrees.

Step-by-step explanation:

The formula for the sum of the interior angles is

S(n) = 180(n - 2)  where n = the number of sides.

For a pentagon, with 5 sides it is 180(5 - 2)

= 3*180

= 540 degrees.

Answer:

I think the answer is 540?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Red = 2

Green = 4

P(G) = 4/6

P(R) = 2/5         (remember that 1 green marble is green. The total left is 5 so the 5 is not a typo)

P(G then R) = 4/6 * 2/5

P(G then R) = 2/3 * 2/5

P(G then R) = 4/15

Answer:

C. (5,-2)

Step-by-step explanation:

3x+7y=1

substitute x-7 for y

3x+7(x-7)=1

3x+7x-49=1

10x-49=1

10x= 50

x=5

now substitute x=5 in the other equation

y=5-7

y=-2

The equation would be: [tex]V(r)=2\pi r \cdot 18[/tex]

Volume V is represented as a function of radius r. Height of a cylinder h is multiplied by the circumference of the cylinder 2πr to result in volume.

Answer:

18pir^2

Step-by-step explanation: