The following chart shows the number of rows in an auditorium and the total number of seats. What equation defines the number of seats with respect to the number of rows.
a) S=20R+100
b) S=40R+120
c) S=20R+60
d)S=20R
Answers
Answer:
Answer: c) S=20R+60
Step-by-step explanation:
Linear Model
The chart supplied shows the number of rows (R) in an auditorium and the total of seats (S).
We'll find the equation that relates them. The equation of a line can be expressed in the slope-intercept form:
S = mR + b
Where m is the slope and b is the intercept.
The slope is found by:
[tex]\displaystyle m=\frac{S_2-S_1}{R_2-R_1}[/tex]
We'll use two sample points (20,460) and (45,960):
[tex]\displaystyle m=\frac{960-460}{45-20}=\frac{500}{25}[/tex]
m = 20
The value of b can be found by using one of the points, for example (20,460), and having m=20:
460 = 20*20 + b
Thus: b = 460 - 400 = 60.
The equation is:
S = 20R + 60
You can test the other points and check they belong to the same line.
Answer: c) S=20R+60
Related Questions
Hello' if you can please show the steps too that would be much appreciated!
(And please don't put a random answer just for the points)
Answers
Step-by-step explanation:
Hi! I hope this helps and have a great day.
Answer:
roots: x= 7, 4
Step-by-step explanation:
factored form: f(x) = (x-7) (x-4)
(idk if it's correct, sorry :()
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Answer:
Step-by-step explanation:
let the other point be (x,y)
then
[tex]2=\frac{0+x}{2} \\x=4\\2=\frac{-2+y}{2} \\y-2=4\\y=4+2=6\\so ~other ~end ~is ~ (4,6)[/tex]
How many pounds are there in 2/3/4 tons (1 ton = 2000 pounds)
Answers
y<2x-15; (7,4)
determine weather the point is a solution of the linear inequality show work
Answers
Answer:
Not a solution.
Step-by-step explanation:
4 < 2(7) - 15
4 < 14-15
4 < -1
Answer:
not a solution
Step-by-step explanation:
Substitute the x- coordinate of the point into the right side of the inequality and compare the result to the left side, that is
2(7) - 15 = 14 - 15 = - 1
Is 4 < - 1 ← no 4 > - 1
Thus (7, 4 ) is not a solution of the inequality
1. Solve the following equation. -5p = -75
Answers
Answer:
15
Step-by-step explanation:
-5 x 15 = -75
This is according to the rule -a ÷ a = -a and -a x a = -a. Where a negative divided/multiplied by a positive number equals a negative number.
-75 ÷ -5 = 15
-75 ÷ 15 = -5
y = m + mnp
Solve for n.
pls help me
Answers
Answer:
n = y - m/mp
Step-by-step explanation:
y = m + mnp
y - m = mnp
y - m/mp = mnp/mp
y - m/mp = n
Find the slope
please help
Answers
Answer:
5/2
Step-by-step explanation:
Rising, there are 5 squares. Running, there are 2 squares. The line is rising left to right, so the slope is positive.
Can someone please explain how to do this?
I’m stuck and I need your help :(
Answers
Answer:
9 power 3 minus 3
so 9 power 0
Answer:
9^2
Step-by-step explanation:
Subtract the bottoms exponent from the top exponent. If you see no exponent there is always a one.
PLS ANSWER ASAP!! WILL MARK BRAINLIEST! 35 POINTS!
Answers
Answer:
Step-by-step explanation:
c) corresponding angles postulate
Egghead Egghead Egghead
Answers
Answer:
the first one is an egghead, gordon ramsey is not an egg
Step-by-step explanation:
In a school-wide survey about favorite ice cream chocolate beat vanilla by a ratio of 8 to 3. if 150 more students like chocolate than vanilla, how many students took the survey?
Answers
Answer: 295
Step-by-step explanation: The ratio is 8 to 3 so every student that likes chocolata there the 3 students that like vanila so 8-3 is 5 and 150-5 is 145 add 150+145 to get 295
Solve the equation for y.
10x -4y = -20
Answers
Answer:
y=5+5/2x
Step-by-step explanation:
2. What is the slope of the line that passes through the points M(-5,0) and N (6,8)?
Answers
Answer:
Hi how are you doing today Jasmine
The slope of the line that passes through the given points M(-5, 0) and N (6, 8) is [tex]\frac{8}{11}[/tex]
Given the following points:
Points on the x-axis = (-5, 6) Points on the y-axis = (0, 8)To calculate the slope of the line that passes through the given points M(-5, 0) and N (6, 8), we would use the following formula;
The slope of a line can be defined as the gradient of a line.
Hence, a slope is typically used to describe both the direction and steepness of an equation of a straight line.
Mathematically, the slope of a line is given by the following formula;
[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substituting the given points into the formula, we have;
[tex]Slope. \;m = \frac{8 - 0}{6 - [-5]}\\\\Slope. \;m = \frac{8}{11}\\\\Slope. \;m = \frac{8}{11}[/tex]
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4) 16 + 7 + 9 = 7 + 9 + 16 *
A. Commutative Property of Addition
O B. Additive Identity Property
C. Multiplicative Identity Property
O D. Associative Property of Addition
Help me pls
Answers
Answer:
a.) Commutative Property of addition
Step-by-step explanation:
Need help ASAP I’m trying to understand
Answers
Step-by-step explanation:
5a+4a=180
a=20
5a=X
X=5×20
=100°
Answer:
100 degrees
Step-by-step explanation:
The opposite angle will always be the same. since the opposite is 5a, then x = 5a. x is 5a, and 9a is 180 degrees so x=180(5/9), which is equal to 100 degrees.
After throwing away the rotten tomatoes, did Sheldon get more kilograms of strawberries or tomatoes? How many more kilograms?
Answers
Step-by-step explanation:
since he threw out tomatoes he has more kilograms of strawberries then tomatoes
25 is 10% of what number?
Answers
Answer: 40
Step-by-step explanation:
This is saying one-fourth, or 25% , of a number x , is equal to 10 . Therefore, 25% of 40 is 10
Answer:
250
Step-by-step explanation:
10%x10=100%
25x10=250
probably not the best explanation but I hope it helps!
help I suck at math lol
Answers
So that it becomes 7/4, which is 1 3/4
For 48/9, divide both numbers by 3
So that it becomes 16/3 which is 5 1/3
Answer:
14/8 = 1 3/4
48/9 = 5 1/3
Step-by-step explanation:
14/8 = 1 6/8
6/8 = 3/4
14/8 = 1 3/4
48/9 = 5 3/9
3/9 = 1/3
48/9 = 5 1/3
Sharon wants to buy a shirt that costs $30. The sales tax is 5%. How much is the sales tax? What is her total
cost for the shirt?
The sales tax is $
her total cost of the shirt is $
Answers
Answer:
The sales tax is $1.50 Her total cost of the shirt is $31.50
Step-by-step explanation:
5% of 30 is 20% of 100 so divide 30 by 20 to get 1.5 then just add that to 30 pretty simple :)
Plz help The population of a specific species of a nocturnal mammal is decreasing at a rate of 3.5%/year. The graph models the number of mammals x years after they were originally counted
How many mammals were there when they were originally counted?
Enter your answer in the box
Answers
Answer:
The y-intercept represents the number of mammals when they were originally counted.
The y-intercept.is 75.
The asymptote indicates that the number of mammals counted when the study began was 120.
The asymptote indicates that as years pass, the number of mammals will approach 0.
Step-by-step explanation:
im a lil late but here ya go and for anyone further who needs these answers.. Its kind of obvious thugh just by looking at the graph what the answers are.
Write an equation to make the number "24" using all the numbers 5,4,2,2 and +, -, x and ÷.
Answers
Answer: See explanation
Step-by-step explanation:
We are given the numbers 5,4,2, and 2 and told to make an equation from it and get a final answer as 24. This will be:
= 5 × 4 + 2 + 2
= 20 + 2 + 2
= 24.
Since we have gotten a final answer of 24, the equation is solved.
9,2 and 4,9 simplify answer
Answers
Determine if lines JK and LM are parallel, perpendicular or neither. J(-10, -7) K(-4, 1) L(-3, 2) M(-6, -2)
Answers
Answer:
i think it is neither
Step-by-step explanation:
How are Ratios,rates and unit rates used to solve problems?
Answers
Answer:
hope u understand
Step-by-step explanation:
Unit rates can conveniently be multiplied by any desired number in order to answer questions about differently scaled questions. E.g. If three marbles cost 30 cents, how much will eleven marbles cost?
A unit rate is a ratio such as 30 cents : 3 marbles = 10 cents per (1) marble, after doing the division.
Answer:
ratios, rates, and unit rates can be used to solve how much of something there is compared to another thing. Ex: There are 3 times the amount of apples compared to oranges. How many apples are there if you have 2 oranges? For a ratio, you would make it 3:1. Then substitute the 1 for 2. For a rate, you would make it 3 apples per oranges. Then do the same thing you would do for the ratio. Unit rates work the same way.
Step-by-step explanation:
sorry if this isn't the answer you were hoping for, but I tried
1760 upper primary pupils took part in a sports meet in 2014. This was decreased of 20% when compared to 2015. The number of the upper primary pupils who took part in 2016 increased by 5% when compared to 2015. How many upper primary pupils took part in the sports meet in 2016?
Answers
Answer:
Number of upper primary pupils who took part in the sports meet in 2016 is 1478.
Step-by-step explanation:
Total number of upper primary pupils who took part in the sports meet in 2014 is 1760. It was decreased of 20% compared to 2015.
So that,
20% of 1760 = [tex]\frac{20}{100}[/tex] x 1760
= 0.2 x 1760
= 352
Number of upper primary pupils who took part in the sports meet in 2015 = 1760 - 352
= 1408
Also,
5% of 1408 = [tex]\frac{5}{100}[/tex] x 1408
= 0.05 x 1408
= 70.4
Number of upper primary pupils who took part in the sports meet in 2016 = 1408 + 70.4
= 1478.4
With an increase of 5% compared to 2015, the number of upper primary pupils who took part in the sports meet in 2016 is 1478.
tan²A -cot²A = sec²A(1-cot²).Trigonometic Identity
Answers
your proving is in photo
On a coordinate plane, trapezoid A B C D has points (negative 5, negative 2), (negative 1, 2), (0, negative 1), (negative 2, negative 3).
Trapezoid ABCD is graphed in a coordinate plane.
What is the area of the trapezoid?
10 square units
12 square units
20 square units
24 square units
Answers
answer on 12 square units
Answer:
B
Step-by-step explanation:
Kathy has $50 in her bank account right now. After three
days she had $35 left. What is her rate of change per day?
Think about if she is making or spending money. Just write
the number.
Answers
Answer:
$5
Step-by-step explanation:
Cheddar cheese costs $4.25 per pound. Which equation best represents y, the total cost of x pounds of cheddar
cheese?
A. x = 4.25 + y
B. x = 4.25y
C. y = 4.25+ x
D. y = 4.25x
I will MARK brainlist!
Answers
Answer:
D
Step-by-step explanation:
4.25 × the amount of cheese you buy (x) equals the total cost (y)
Answer:
D. y = 4.25x
Step-by-step explanation:
You multiple the price per pound by the number of pounds. Can I have brainliest? Thanks!
What are the coordinates of the image of point B, after the segment has been dilated by a scale factor of 3 witha
center of dilation at the origin?
(-9. ,9
(9, -9)
Answers
Answer: -9, 9
Step-by-step explanation: