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:
x=18 y=69
Step-by-step explanation:
3x+5y=399
x+5y=363
2x=36
x=18
18+5y=363
5y=345
y=69
Find the 6th term 9 18 36
Answer:
I think the answer is 288.
Step-by-step explanation:
The rule seems to be multiplying the past number by 2. So, 9*2=18 and 18*2=36. If we continued that rule we would then get 72, 144, and the sixth term is then 288.
hope this helps :D
Answer:
Step-by-step explanation:
This is a geometric sequence because any term divided by the previous term is a constant called the common ratio. r=36/18=18/9=2 A geometric sequence is expressed as
[tex]a_n=ar^{n-1},\text{ where a=initial term, r=common ratio, n=term number}\\ \\ a_n=9(2^{n-1})\\ \\ a_6=9(2^5)\\ \\ a_6=288[/tex]
what is the slope of the line that passes through the points (3,-2) and (9,-2)? 0 3 -3 undefined
Answer:
[tex]\boxed{\textsf{ The slope of the line is $\bf{\dfrac{3}{2}}$.}}[/tex]
Step-by-step explanation:
Two points are given to us and we need to find the slope of the line that passes through these two points . The two points are (3,-2) and (9,-2) .As we know that the slope of the line is given by [tex]\tan\theta[/tex]
Slope of a line is :-
[tex]\qquad\boxed{\boxed{ \sf Slope =\dfrac{ y_2-y_1}{x_2-x_1}=\tan\theta }}[/tex]
On using this formula we can find the slope of the line .
Putting the respective values :-
[tex]\sf\implies Slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\\sf\implies Slope = \dfrac{ 9-3}{2+2} \\\\\sf\implies Slope =\dfrac{6}{4}\\\\\sf\implies\boxed{\pink{\sf Slope = \dfrac{3}{2} }}[/tex]
Answer:
Its zero -w-
Step-by-step explanation:
Find the area of a triangle with a base of 3 cm and height of 8 cm
Answer: The area of a triangle is 12cm²
Answer:
8 x 3 = 24cm
Step-by-step explanation:
8 + 8 + 8 = 24cm
or
3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = 24cm
Lin's sister has a checking account. If the account balance ever falls below zero, the bank charges her a fee of $5.95 per day. Today, the balance in Lin's sister's account is -$2.67. In 14 days, Lin's sister will be paid $430 and will deposit it into her checking account. If there are no other transactions besides this deposit and the daily fee, will Lin continue to be charged $5.95 each day after this deposit is made? Explain or show your reasoning.
Answer: No, the bank will not keep charging her the $5.95 after the deposit is made.
Step-by-step explanation:
Today, Lin's sister's balance is -$2.67
She gets charged $5.95 per day.
There are 14 days until she can charge some money in the bank account, so the bank will charge $5.92 14 times
So her balance after 14 days will be:
Balance = -$2.67 - $5.95*14 = -$85.97
When she charges the $430 in the account, her balance will be:
Balance = -$85.97 + $430 = $344.03
So now she has a positive balance, which means that the bank does not charge her anymore.
Andrew has a Frisbee™ with a radius of 10 cm. What is the approximate circumference of the
Frisbee"?
A.15.7 cm, because C = 57
B.31.4 cm, because C = 107
C.314 cm, because C = 100 7
D.62.8 cm, because C = 207
Answer:
The answer is D. 62.8
Step-by-step explanation:
I used this formula.
Circumference = 2πr
3/10 divided by 10/3 ??
Answer:
0.09 is the answer i helped
The length of an object, f(x), in yards, is a linear function of the length of the object, x, in feet. What units should be used to describe the rate of change in f(x) with respect to x?
A.
Inches per foot
B.
Feet per yard
C.
Yards per foot
D.
Yards per inch
Answer:
DADDY CHILL
Step-by-step explanation:
What is 4/5 as decimal
Answer:
0.8
Step-by-step explanation:
its 0.8 cause you divid 4/5
1a. Tell whether the angles are adjacent or vertical. *
1 point
O Adjacent
O Vertical
1b. Find the value of x.
1 point
You answer
Answer:
it is adjacent and the answer to 1b is 146
"The product of a number and -7,
increased by 9, is at most 16."
help please i will give brainliest thanks so much please helppop
AL
2
In a high school stadium there are 750 seats. There are twice as many seats in the home
section as there are in the visitor section. Which system of equations could be used to
determine the number of seats in the home section, h, and the number of seats in the
visitor section, v, in the stadium?
PLEASE HELP HURRY PLEASEEE
Answer:
There are 250 home section and 2(250) = 500 visitor section.
Step-by-step explanation:
Let there are h number of seats in the home section and v is the number of seats in the visitor section.
h+v = 750 ...(1)
There are twice as many seats in the home section as there are in the visitor section.
v = 2h ...(2)
From equations (1) and (2).
h+2h = 750
3h = 750
h = 250
Hence, there are 250 home section and 2(250) = 500 visitor section.
this is a quiz on special right triangles. please help me i cannot fail this. i will mark brainliest
Answer:
x=4
Step-by-step explanation:
Consider ΔKLJ:
sinθ=opposite/hypotenuse
sin30=LJ/8√2
LJ=0.5*8√2=4√2
Consider ΔMLJ:
sinθ=opp/hyp
sin45=x/4√2
1/√2=x/4√2
4√2/√2=x
x=4
The distance between point Q and point P is 6 1/2 units .Which number could represent point Q?please help me
Answer:
[tex]Q =2\frac{1}{2}[/tex] or [tex]Q =- 10\frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]P = -4[/tex] --- missing from the question
[tex]Distance = 6\frac{1}{2}[/tex]
Required
Determine the possible value of Q
The distance can be calculated using absolute function as:
[tex]Distance = |Q - P|[/tex]
Substitute values for distance and P
[tex]6\frac{1}{2} = |Q - (-4)|[/tex]
[tex]6\frac{1}{2} = |Q +4|[/tex]
The absolute function can then be split as:
[tex]6\frac{1}{2} = Q + 4[/tex] or [tex]-6\frac{1}{2} = Q + 4[/tex]
Make Q the subject in both cases:
[tex]Q = 6\frac{1}{2} - 4[/tex] or [tex]Q = -4 - 6\frac{1}{2}[/tex]
[tex]Q =2\frac{1}{2}[/tex] or [tex]Q =- 10\frac{1}{2}[/tex]
2a+b=5 and 6y+4y=48 show that 20a+10b has a greater value than 3x+2y
Answer:
Step-by-step explanation:
There is an error in the question. 6x+4y = 48
Multiply first equation by 10:
20x+10y = 50
Divide second equation by 2:
3x+2y = 24
50>24, so 20x+10y > 3x+2y
IREADY MATH LEVEL G
HELP ASAP DUE AT 11:59!!
how much space is shown in the circle below
Answer:
there is no circle! maybe you forgot to attach it?
Note:
Please mark as Brainliest! <3
Find the value of X, Z, and Y in the graph below?
9514 1404 393
Answer:
(x, y, z) = (49, 58, 122)
Step-by-step explanation:
The same-side exterior angles have a sum of 180°.
(x +9) +(3x -25) = 180
4x -16 = 180
x -4 = 45
x = 49
Vertical angles are congruent:
y = 49 +9 = 58
z = 180 -y = 122 = 3(49) -25
The values of x, y, and z are ...
X = 49Z = 122Y = 58What is the solution to the equation?
Answer:
B
Step-by-step explanation:
98+g=150
98+g-98=150-98
g = 52
Llam is setting up folding chairs for a meeting. If he arranges the chairs In 7 rows of the same length, he has 5 chairs left over. If he arranges the chairs in 5 rows of that same length, he has 23 left over. How many chalrs does Llam have?
Liam has total 40 chairs with him
>
Find the next three values in the sequence,
-64,-32,-16,-8...
Answer:
-4, -2, -1
Hope that helps!
Step-by-step explanation:
Answer:
Step-by-step explanation:
geometric sequence with common ratio = 1/2
a₅ = a₄(1/2) = -4
a₆ = a₅(1/2) = -2
a₇ = a₆(1/2) = -1
Jaimie is practicing for the long jump. Each week she makes 10 jumps and after each jump she records the distance, in meters, she reaches with each jump. Her results for this week are represented in the table below. Jump 1 2 3 4 5 6 7 8 9 10 Distance (m) 5.1 5.3 5.4 5.2 5.5 5.4 5.2 5.3 5.5 3.5 Jaimie then reviews her results and determines the mean and standard deviation so that she can compare her results from this week to her results from the previous week. Jaimie felt the 10th jump was not reflective of her ability because she stumbled before making the jump and decided to remove the 10th jump from her data set. Determine whether each statement describes the change that will occur to the mean and standard deviation from this week's results when Jaimie removes the 10th jump from her data set. Select Yes or No for each statement. Yes No Removing the 10th jump from her data set will cause her average jump distance to increase. Removing the 10th jump from her data set will cause her average jump distance to decrease. The standard deviation will increase because the jump distances will be more spread out. The standard deviation will decrease because the jump distances will be more clustered together.
Answer:
mean=(5.1 +5.3+ 5.4 +5.2+ 5.5 +5.4+ 5.2 +5.3 +5.5+ 3.5)/10=51.4/10=5.14
the graph of y = 4x^2 - 4x - 1 is shown use the graph to find estimates for the solutions of a and b
Answer:
a) -0.25 and 1.25
b) -0.5 and 1.5
Step-by-step explanation:
a) For 4x^2-4x -1 = 0
What we have to do here is to simply find he points on the x-axis in which the graph crosses it
we have this as;
approximately-0.5 and 1.5
what we are saying is that the plot crosses the x-axis at x = -0.25 and x = 1.25
ii) what we have to do here is to find the point at which y = 2
After finding this point, we trace it to the plot sideways, before we trace to the x-axis
By tracing, we have the crossing on the x-axis at these points at -0.5 and 1.5
The number of paper clips per box in a truckload of boxes are normally distributed, with a mean of 100 and a standard deviation of 3.
a. The number of paper clips in 68% of the boxes is predicted to range from
b. The number of paper clips in 95% of the boxes is predicted to range from
to
to
Answer:
what's the answer somebody
Step-by-step explanation:
HELP ASAP! What is the slope of the line???
Answer: the slope is 1
Step-by-step explanation:
Slope is basically rise over run. Looking at the graph you see it rises one unit and then goes over to the left by one unit. 1÷1 equals 1 so That is your slope.
match each set of values to its correct median
Answer:
purple = 6
orange = 4
blue = 2
red = 5
green = 3
Step-by-step explanation:
hope this helped
Answer:
Step-by-step explanation:
hope this helps
pls answer guys if you do you get something good
Answer:
10 pounds of barley
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
7*5=35
therefore, 2*5=10
How do I graph this?
what is the amount of pieces in each color
Answer:
brown = 12
yellow = 30
orange = 36
Step-by-step explanation:
let 'b' = # brown
let '18+b' = # yellow
let '3b' = #orange
add them together and set equal to 78
b + 18 + b + 3b = 78
5b + 18 = 78
5b = 60
b = 12
y = 12 + 18 = 30
o = 3(12) = 36
12 + 30 + 36 = 78
POPULATION In 2000, the world population was calculated to be 6,071,675,206. The world population increases at a rate of about 1.2% annually.
Write a function that represents the world population y after x years.
A) y = 6,071,675,205(1.012)^x
B) y = 6,071,675,206(1.012)^x
C) y = 6,071,605,205(1.012)^x
D) y = 6,071,675,215(1.012)^x
PLEASE HELP!!
Answer:
B) y = 6,071,675,206(1.012)^x
Step-by-step explanation:
It appears that this question asks for an exponential model that represents the population growth. I believe you could view the equation in the form y = (initial population)(rate)^x
Since the initial population is 6,071,675,206, you could substitute that in to get y = 6,071,675,206(rate)^x
Since your rate is increasing by 1.2% (0.012 in decimal form), just convert that to decimal form (knowing that 100% = 1.0, add 0.012 to get 1.012). Substitute that in to get y = 6,071,675,206(1.012)^x
Hope that helps. Feel free to let me know if it made sense.