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
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Answer:
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Step-by-step explanation:
Raquel is at an arcade. She bought 8 tickets, and each game requires 2 tickets. -Write two equivalent expressions that gives the number of tickets Maddy has left in terms of x, the number of games she has already played.
Answers
And
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Answer:
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Step-by-step explanation:
Katrina wants to build a fence around her Square Garden the garden has an area of 121 square feet How much Fencing will Katrina Need?
A. 13 Feet
B. 26 Feet
C. 39 Feet
D. 44 Feet
Answers
Answer:
The perimeter of the fencing is 44 feet (Option D)
Step-by-step explanation:
Area and Perimeter
A square shape of side length (a) has an area given by:
[tex]A = a^2[/tex]
And its perimeter is calculated as:
P = 4a
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Once we know the value of a, then we calculate the perimeter:
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Answer:
Step-by-step explanation:
Write an equation of the line with a slope of 2/3and y-intercept of −8. y=
Answers
Answer:
The slope-intercept form of a linear equation is:
y=mx+b Where m is the slope and b is the y-intercept value.Substituting the values from the problem gives y=2/3x+−5 y=2/3x−5
Step-by-step explanation:
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Answers
Answer: A rational number is a number that can be express as the ratio of two integers. Likewise, any integer can be expressed as the ratio of two integers, thus all integers are rational.
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Answers
Answer:
63+48= 3(21+16)
Step-by-step explanation:
Check answer:
Distribute 3(21+16)
3(21)+3(16)
63+48
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-4 ≤ 11 - 3x
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Answers
which has the least result? A. 3/4-3/4 B. 3/4+3/4 C. -3/4 + 3/4 D. -3/4-3/4?
Answers
Answer: D
Step-by-step explanation:
The solution to both A and C would total to about 0. Also, in B both numbers are positives, so that would also be out of the case. If you are looking for the least value, the answer would be D since -3/4 -3/4 would equal -1.5, (or -1 1/2). Therefore, your answer would be D.
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Answer:
D. -3/4 - 3/4
Step-by-step explanation:
A. 3/4 -3/4 = 0
B. 3/4 + 3/4 = 1 1/2
C. -3/4 + 3/4 = 0
D. -3/4 - 3/4 = -1 1/2
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Answers
Answer:
84 cups of chicken broth
Step-by-step explanation:
Ratio of chicken broth to flour = 12 cups : 1 1/4 cups
Mr. Clark used 8 3 /4 cups of flour for his gumbo.
How many cups of chicken broth did he use?
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Answers
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Step-by-step explanation:
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Trey is buying a computer on sale. The original price was $1,200. If the sale price is ⅚ of the original price, how much did Trey pay for the computer?
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Answer:
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Which equation has a graph that is a parabola with a vertex at (1,HI)?
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Answers
Answer:
[tex]y = (x +1)^2 - 1[/tex]
Step-by-step explanation:
Given
[tex]Vertex = (-1,-1)[/tex]
Required
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[tex]y = a(x - h)^2 + k[/tex]
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[tex]y = (x +1)^2 - 1[/tex]
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Answer:
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x=
y=
Answers
Answer:
x = 79°
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Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°
79° + x° + y° = 180° the given triangular shape is isosceles which means x = 79°
so 79° + 79° + y° = 180° add like terms
158° + y° = 180° subtract 158 from both sides
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Answer:
x=79
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Step-by-step explanation:
its an isosceles triangle meaning that 2 sides are the same and if 2 sides are the same 2 angles are and that means that 79 would have to equal x because that is the one side and then you add the two 79s to get 158 and subtract that minus 180 to get 22 leaving that to be y
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Answers
Answer:
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Step-by-step explanation:
Let the number of boys be x
Since, no of girls = 3 times the no of boys
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Answer:
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Step-by-step explanation:
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Answers
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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