Answer:
There are 4 senior citizens, 8 children, and 2 adults in the extended family
Step-by-step explanation:
The amount the movie theater charges for children = $6
The amount the movie theater charges for adult = $8
The amount the movie theater charges for senior citizens = $5
The total number of persons in the extended family = 14
The number of children in the extended family = 2 × The number of senior citizens
The amount the extended family spent on tickets = $84
x represents the number of senior citizens in the extended family
y represents the number of children in the extended family
z represents the number of adults in the extended family
y = 2·x
x + y + z = 14
Substituting the value of y = 2·x in the above equation gives;
x + 2·x + z = 14
z = 24 - (x + 2·x) = 14 - 3·x
z = 14 - 3·x
x × 5 + y × 6 + z × 8 = 84
Substituting the value of x, y, and z in the above equation gives;
x × 5 + 2·x × 6 + (14 - 3·x) × 8 = 84
5·x + 12·x - 24·x + 112 = 84
112 - 84 = 24·x - (5·x + 12·x) = 7·x
7·x = 112 - 84 = 28
x = 28/7 = 4
x = 4
∴ The number of senior citizens = 4
y = 2 × x = 2 × 4 = 8
y = 8
The number of children = 8
z = 14 - 3·x = 14 - 3 × 5 = 2
z = 2
The number of adults = 1
Therefore, there are 4 senior citizens, 8 children, and 2 adults in the extended family.
Consider the exponential function f(x) = One-fifth(15x). What is the value of the growth factor of the function?
One-fifth
One-third
5
15
The growth factor of the function is 15
The standard exponential equation is expressed as y = ab^x
a is the interceptb is the growth factorThe value of b determines whether an exponential function is a growth or a decay.
If the value of b is greater than 1, we have growth otherwise it is decay.
Given the exponential function [tex]f(x) = \frac{1}{5}(15)^x[/tex]
Compared with the general equation, b = 15. Hence the growth factor of the function is 15
Learn more on exponential equation here: https://brainly.com/question/13765928
Answer:
anwser is d on edge
Step-by-step explanation:
I need to know if 198 to 1287 and 2 to 13 are equivalent ratios
yes they are equivalent
Step-by-step explanation: try dividing 198 and 1287 and the same to 2 and 13 you should get the same for both.
Given the equation
4x + 2y = 10 (standard form), what is the slope-intercept form of this equations?
Answer:
y=-2x+5
Step-by-step explanation:
hope i helped
Answer:
Y=2x+5
Step-by-step explanation:
Move the variable (x) to the right
2y= 10-4x
divide both sides of the equation by 2
y=5-2x
and then reorder the terms
y=-2x+5
:)
Annie can walk 1/2 of a mile in 1/4 of an hour. How many miles can she walk in 2 1/2 hours if she walks at the same constant speed?
Answer:
She can walk 5 miles in 2 1/2 hours.
Step-by-step explanation:
1/4 of an hour means that 4/4 is 1 hour. If she can walk 1/2 of a mile in 1/4 of an hour, then 1/2 + 1/2 + 1/2 + 1/2 = 1 hour. 1/2 + 1/2 + 1/2 + 1/2 = 2 hours. To get 1/2 of an hour from 1/4 you need to add 1/4 by itself to get 1/2, so you have to add 1/2 + 1/2 to get 5 miles in 2 1/2 hours.
BRAINLIEST PLEASE :))
I hope this helped you!
Answer:
She can walk 5 miles in 2 1/2 hours.1/4 of an hour means that 4/4 is 1 hour. If she can walk 1/2 of a mile in 1/4 of an hour, then 1/2 + 1/2 + 1/2 + 1/2 = 1 hour. 1/2 + 1/2 + 1/2 + 1/2 = 2 hours. To get 1/2 of an hour from 1/4 you need to add 1/4 by itself to get 1/2, so you have to add 1/2 + 1/2 to get 5 miles in 2 1/2 hours.
BRAINLIEST PLEASE :))
I hope this helped you!
Step-by-step explanation:
Which foci belong to the hyperbola represented by the equation (x-14)^2/16^2-(y-2)^2/30^2
Answer: for Plato: A. (-20,2) and (48,2)
Step-by-step explanation:
The foci of the given hyperbola are represented by the equation (x-14)²/16²-(y-2)²/30² will be ( 48, 2) and ( -20, 2).
What is hyperbola?A hyperbola is a significant conic section in mathematics that is created by the intersection of a double cone with a plane surface, though not always at the center it's not necessary.
A hyperbola is homogeneous along its perpendicular axis and resembles the elliptical in many ways.
A hyperbola is susceptible to concepts like foci, directrix, rectus, and eccentricity. Hyperbola that is commonly seen includes the path taken and the scattering trajectory of particles.
Given that the hyperbola
(x-14)²/16²-(y-2)²/30² so a = 16 and b = 30.
Since c = √(a²+b²)
c = √(1156 = 34.
So the first foci will be ( h +c, k) and ( h -c,k).
So first foci will be ( 48, 2) and the second will be ( -20, 2).
For more about the hyperbola
https://brainly.com/question/27799190
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Answer:
D. The slope is -2. The y-intercept is (0, 1).
Step-by-step explanation:
It is in slope- intercept form: y=mx+b
M is the slope
B is the y-intercept
Answer:
Use the slope-intercept form to find the slope and y-intercept.
Slope: −2
y-intercept: (0,1)
the length of the floor is 32 m longed than it’s witdth and there is greater than 200 square meters. You will cover the floor completely with tiles. what will be the possible dimension of the floor?
with solution po sana ty pooooo
Answer:
Step-by-step explanation:
The area of the floor A = Length * Width
Given
A = 200 square meters
If the length of the floor is 32 m longed than it’s width then;
L = 32+W
A = LW
200 = (32+W)W
200 = 32W + W²
W²+32W-200 = 0
W = -32±√32²+800/2
W = -32±42.71/2
W = -32+42.71/2
W = 10.71/2
W = 5.35 m
L = 32+5.35
L = 37.35m
Hence the dimension is 5.35ft by 37.35m
Elena wants to make a scale drawing of her bedroom using the scale 4cm to 1m. If Wall A in the drawing is 10 cm long, what is the actual length? *
Answer:
2.5m
Step-by-step explanation:
The double number line shows that 4 pounds of tomatoes cost $14. How much does it cost for 1 pound of tomatoes
Answer:
3.5
Step-by-step explanation:
You would do 14 divided by 4.
1pound =3.5
Answer: 3.5
Step-by-step explanation: it is 3.5 dollars because if you divide 14 by four it shows that one pound cost 3.5 dollars
I need help what is the answer?
Answer:
#3
Step-by-step explanation:
URGENT !! I NEED HELP PLS
Answer:
2nd
Step-by-step explanation:
Which is another way to write ( 5 - x)? *
Answer:
Anither way you can write it is (x-5)
Step-by-step explanation:
The amount of sales of tickets at a movie theater t(x) varies directly with the number of customers x. Twenty customers paid a total of $275 for tickets.
Which equation can be used to find the ticket sales for x customers?
t(x) = 20x candace rolled a 6-sided number cube 60 times and recorded the results in the graph above
t(x) = 20x
t(x) = 13.75x
t(x) = 13.75x
t(x) = 275x
Answer:
T(x)=13.75x
Step-by-step explanation:
Solve for the variables
Answer:
P = 32
x = 35
Step-by-step explanation:
For the first diagram,
The two angles given are corresponding angles. Corresponding angles are equal;
So;
the first angle is a right angle triangle;
90 = 3P - 6
3P = 90 + 6
3P = 96
P = 32
For the second diagram;
The sum of those two angles is 180°
(x + 75) + 2x = 180
x + 2x + 75 = 180
3x + 75 = 180
3x = 180 - 75
3x = 105
x = 35
0.20m + 1(50-m) = 0.60(5)
0.80m + 0(50-m) = 0.40(5)
please solve for m
Answer:
Step-by-step explanation:
0.20m+50-m=3
0.20m-m=-47
-0.80m=-47
m=58.75
Please help!!
What is the maximum value of 3x + 5y in the feasible region?
(3, 7)
(0,7)
(6, 3)
(6, 0)
Answer:
Minimum value is 18
It occurs at P(6,0)
Step-by-step explanation:
The given objective function is
The vertices of the feasible region are .
We plug in the vertices in to feasible region and evaluate to obtain,
P(0,7) = 3(0) + 5(7)
P(0,7) = 0+35
P(0,7) = 35
P(3,7) = 3(3) + 5(7)
P(3,7) = 9+35
P(3,7) = 44
P(6,3) = 3(6) + 5(3)
P(6,3) = 15+15
P(6,3) = 33
P(6,0) = 3(6) + 5(0)
P(6,0) = 18+0
P(6,0) = 18
Need help with this. Please
Answer: 14
Step-by-step explanation:
It seems Line AC bisects that angle so we know that 7x=-3x+20 so to figure out x we solve this equation to get 10x=20 and x=2 from there we input the x into BAC to get m<BAC=14
What is the slope and the y-intercept of the graph of the linear function shown on the grid ?
Answer:
Slope: -1/4; Y-Intercept: 1.5
Step-by-step explanation:
Step 1: Find the slope. The best way to do this is to transform the two given points to y=mx+b form. When given two points, the best way to find the slope will be to do y2-y1/x2-x1. In this equation it would be -2-0/2+6, which is -2/8, simplified is -0.25 or -1/4. So we have the slope, which can determine the length of the line.
Step 2: Find the Y-Intercept. Finding the Y-intercept is so much simpler when given a graph, since all you have to do is find where the line goes through the y-axis, which in this case is (0,1.5), meaning that the y-intercept is 1.5 (note: the y-intercept can also be found when x=0, for example (0,9).
Hope this helped, good luck!
pls help, will gove brainiest to whoever answers all
I need help with this one
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
2/3
Step-by-step explanation:
Write an equation in slope-intercept form for the line with slope 1/4 and y-intercept -5. Then graph the line.
Formula: y=mx+b
Plug in your numbers. Y=1/4x-5
1/4 is the slope so it takes the place of m, and our y-intercept is -5 so it replaces b.
I can't put a graph on here, but go on desmos.com and put the equation in and it graphs it for you ;)
The function V(x) = x ^ 3 - 6x ^ 2 - 8x + 12 finds the volume of an object with a height of x What is the volume of a object with height of 5 feet? What is the volume of an object with a height 12 feet?
i will mark as brainliest
Answer:
-53; 780
Step-by-step explanation:
3. plug in your values
5^3 - 6 (5^2) - 8 (5) + 12 = -53
12^3 - 6 (12^2) - 8 (12) + 12 = 780
what is 3x + 7x +2x ?
Answer:
i have no clue XD
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH THIS !!!!!
Answer:
b!!!!!
Step-by-step explanation:
Isabella has $9 in a savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much interest will she earn in 3 years?
Do you love cats? I dont like cats I love them
Answer:
Cats are the best!
Step-by-step explanation:
1. CATS!
2. CATS!
3. CATS!
(7x-12)+(13-2x)
[tex](7x - 12) + (13 - 2x)[/tex]
I NEED SOME HELP!!!
The drama club is selling gift baskets to raise money for new costumes. During the fall play, they sold a combined 2 regular gift baskets and 27 deluxe gift baskets, earning a total of $914. During the spring musical, they sold 21 regular gift baskets and 20 deluxe gift baskets, earning a total of $1,165. How much are they charging for the different sized gift baskets?
The drama club is charging $_____________ for a regular gift basket and $__________ for a deluxe gift basket.
Answer:
The drama club is charging $22 for a regular gift basket, and $34 for a deluxe gift basket
Step-by-step explanation:
Answer:
Step-by-step explanation:
Write an expression for "777 times rrr."
Answer:
7^3 x r^3
Step-by-step explanation:
