Answer: the correct Answer should be B
Step-by-step explanation:
The correct option is slope of the line for restaurant B is 2 times greater than the slope of the line for restaurant A.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Given the values of x and y for restaurant A as,
x : 10 20 30
y : 1 2 3
Consider the point (10, 1) and (20, 2).
Slope of the linear relationship of x and y of restaurant A is,
Slope = (2 - 1) / (20 - 10)
= 1/10
Given the values of x and y for restaurant B as,
x : 25 50 75
y : 5 10 15
Consider the points (25, 5) and (50, 10).
Slope of the linear relationship of x and y of restaurant B is,
Slope = (10 - 5) / (50 - 25)
= 5 / 25
= 1/5
= 2 × 1/10
= 2 × Slope of line for restaurant A
Hence slope of the line for restaurant B is 2 times the slope of line for restaurant A.
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The complete question is as follows :
The two tables below show the amount of tip, y, included on a bill charging x dollars. A 2-column table with 3 rows titled Restaurant A. Column 1 is labeled x with entries 10, 20, 30. Column 2 is labeled y with entries 1, 2, 3.
A 2-column table with 3 rows titled Restaurant B. Column 1 is labeled x with entries 25, 50, 75. Column 2 is labeled y with entries 5, 10, 15.
Which compares the slopes of the lines created by the tables?
If j(x) = x^2 + 1, find j(a + 1)
Answer:
[tex](a + 1) ^{2} + 1[/tex]
[tex]a ^{2} + 2a + 2[/tex]
HURRY!! Which set of ordered pairs represents a function?
A. (-1, 4), (2, 4), (8, 4), (10,4)}
B. {0, -2), (3,7), (0, 2), (18,2)
C. f(-1,3), (-1, -1), (-1, -12), (-1,0)}
D. {(1, 2), (2, 3), (3, 4), (3,5)}
Answer:
A
Step-by-step explanation:
A function cannot have 2 points on the same x point, and so every coordinate on A's set is different (-1, 2, 8, 10)
Twelve large bottles of water cost $9. How many bottles can you buy for $3? What is the cost per bottle of water? How much would 7 bottles of water cost?
Step-by-step explanation:
Given data
cost of 12 bottle = $9
How many bottle can $3 buy.
Given that $9 can buy 12 bottles
therefore $3 would by x bottles
cross multiply we have
9x=12*3
9x=36
divide both sides be 9
x=36/9
x=4 bottles
The cost per bottle is
9/12= $3/4
= $0.75 per bottle
if one bottle cost $0.75
the 7 bottles will cost =0.75*7
=$5.25
Answer:
4
Step-by-step expl
Since 12 bottles cost $9 then by doing
12/3=X
X=4
=$4
-1/4d - 2/5d =39 solve for d
Answer:
-0,15
Step-by-step explanation:
I think that's it, I'll give an explanation in the comments in a sec
A helicopter is flying directly above a submarine. The helicopter is 100 feet about sea level. The submarine is 250 below the sea level. b. What is the distance between the helicopter and the submarine? (1 pt) Write the equation you use to show (justify) your answer. (2 pts)
Answer:
350feetStep-by-step explanation:
We want to find the height between the helicopter and the submarine
let us use the water as reference
therefore the given information
helicopter= 100 feet about sea level.
submarine = 250 feet below the sea level.
Therefore the distance between the helicopter and the submarine is given as
=100+250
=350feet
A printer is printing photos. For every 6 photos, the printer takes 2 minutes.
Complete the table below showing the number of photos and the time it takes to print them.
Answer:
Next to 6 is 9, next to 15 is 27, and next to 3 is 5
Step-by-step explanation:
If you imagine 6 photos for every 2 minutes as a fraction and simplify it, the answer to this would be 3 photos for every 1 minute (basically 3/1). By using this unit fraction, you'll see that you're supposed multiply the amount of minutes by 3, or you can divide the # of photos by 3.
For 3 mins, you multiply that by 3 to get 9 photos.
For 9 mins, you multiply that by 3 to get 27 photos
For 15 photos, you divide that by 3 to get 5 photos.
Ok, have a Spooky Halloween!
Write the sine function with the listed attributes. amplitude: 2/3 period: 3pi phase shift: -2pi / 3 vertical shift: -2
Answer:
f(t)=(2)/(3)*\cos (4t-3\pi )
Step-by-step explanation:
Because :D
Answer:
f(t) = 2/3 sin (1/3t - 2pi/3) - 2
Step-by-step explanation:
HELP TIMED
Write as an expression: the square of the sum of x and 1
Write as an expression: the square of the difference of m and n
Answer:
(x+1)²
(m-n)²
Step-by-step explanation:
15 yards to 18 yards
Answer: The distance between 15 yards to 18 yards is 3 yards.
Step-by-step explanation:
Drag each tile to the correct box. Not all tiles will be used. Arrange the steps to solve the equation . Simplify to obtain the final radical term on one side of the equation. Raise both sides of the equation to the power of 2. Apply the Zero Product Rule. Use the quadratic formula to find the values of x. Simplify to get a quadratic equation.
Answer:
Raise both sides of the equation to the power of 2
Raise both sides of the equation to the power of 2 again
Simplify to get a quadratic equation.
Use the quadratic formula to find the values of x.
Step-by-step explanation:
The radical equation is expressed as:
[tex]\sqrt{x+3} - \sqrt{2x-1} = -2[/tex]
The following steps are to be followed to calculate x:
Step 1: Raise both sides of the equation to the power of 2.
[tex](\sqrt{x+3} - \sqrt{2x-1})^2 = (-2)^2\\x+3 - 2\sqrt{x+3}\sqrt{2x-1}+(2x-1) = 4\\ - 2\sqrt{x+3}\sqrt{2x-1}+x+3+2x-1 = 4\\ - 2\sqrt{x+3}\sqrt{2x-1}+3x+2 = 4\\ - 2\sqrt{x+3}\sqrt{2x-1} +3x-2 = 0\\[/tex]
Step 2: Raise both sides of the equation to the power of 2 again
[tex](-2\sqrt{x+3}\sqrt{2x-1})^2 = (2-3x)^2\\4(x+3)(2x-1) = (2-3x)^2\\[/tex]
Step 3: Simplify to get a quadratic equation.
[tex]\\4(2x^2-x+6x-3) = 4-12x+9x^2\\4(2x^2+5x-3) = 4-12x+9x^2\\8x^2+20x-12 = 4-12x+9x^2\\x^2-32x+16 = 0[/tex]
Step 4: Use the quadratic formula to find the values of x.
x = 32±√32²-4(16)/2
I need help with math I am dumb so pls help me if you can
Answer:
4/10 x 10 = 40/100
Step-by-step explanation:
I have done this one before.
I hope this helps!
Answer:
4/10 x 10 = 40/100
Step-by-step explanation:
I had queation today
For each graph, choose the function that best describes it.
Answer:
Step-by-step explanation:
a). This graph represents a function with square root of x,
f(x) = [tex]\sqrt{x}[/tex]
b). This graph represents the reciprocal squared function with asymptotes as,
Vertical asymptote x = 0
Horizontal asymptote y = 0
f(x) = [tex]\frac{1}{x^2}[/tex]
c). This graph represents a linear function (Straight line),
f(x) = x
d). This graph represents the cubic function,
f(x) = x³
Answer:
Step-by-step explanation:
1 x square rooted
2 1/x^2
3 x
4 x^2
A triangle has angle measures x + 15 , 3x − 35 , and 4x. Find the value of x
Using the knowledge of the total sum of the internal angles of a triangle, the value of x would be 25
Recall :
A + B + C = 180° (Sum of the internal angles of a triangle)Hence,
(x + 15) + (3x - 35) + 4x = 180
x + 15 + 3x - 35 + 4x = 180
8x - 20 = 180
8x = 180 + 20
8x = 200
x = 200 / 8
x = 25°
Therefore, the value of x is 25
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How do you factor 1x^2+9x+2
Answer:
not factorable
Step-by-step explanation:
To factor a trinomial of the type x^2 + ax + b, you need to find two numbers that add to a and multiply to b.
You have 1x^2 + 9x + 2.
In this case, a = 9 and b = 2.
There are no two integers whose sum is 9 and whose product is 2, so this trinomial is not factorable.
how do I solve the ratio of somthin
Mike and ike are working on the following problem imagine that a cell splits itself into two cells every 24 hours how many cells will there be after 5 days
Sam traveled 20 miles in 3 hours.
Sam walked part of the distance at a speed of 4 miles per hour.
Sam rode his bicycle for the remaining distance at a speed of 12 miles per hour.
How many hours did sam spend walking?
How many hours did sam spend biking?
The number of hours that Sam spends walking is 1 hour. And the number of hours that Sam spends biking is 2 hours.
What is speed?We know that the speed formula
Speed = Distance/Time
Let 'x' and 'y' be the time when he walks and when he biking. Then the equations are given as,
x + y = 3 ...1
4x + 12y = 20 ...2
From equations 1 and 2, then we have
4(3 - y) + 12y = 20
12 - 4y + 12y = 20
8y = 8
y = 1 hour
The value of 'x' is calculated as,
x + 1 = 3
x = 2 hours
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It takes 12 cup of lemon juice to make a glass of lemonade. You have 4 cups of lemon juice. How many glasses of lemonade can you make?
Answer:
you can make 1/3 glass of lemonade but if you are saying it without fractions its zero
Step-by-step explanation:
4 times 3 is 12 so if you just have 4 cups than thats 1/3 of a cup
Find the slope of the line y = 1/3x + 1/7
Intro:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
This is the slope formula [tex]y=mx+b[/tex] if you know what each letter stands for you know which one is slope.
Each Letter Meanings:
y stands for the y-value in the order pairs on the line.
m stands for the rate of change, AKA the slope of the line.
x stands for the x-value in the order pairs on the line.
b stands for the y-intercept.
_________________________________________________________
So now you should have figured out that [tex]\frac{1}{3}[/tex] is the slope of the line.
Answer:
slope is 1/3
first point y intercept is 1/7
its a non linear function
(-3/7,0) (0,1/7)
Step-by-step explanation:
A brick becomes dislodged from the top of the Empire State Building (at a height of 1250 feet) and falls to the sidewalk below. What is the position formula?
Answer:
Position s(t) = -16t² + 1250 ft
Step-by-step explanation:
Given that:
initial height h₀ = 1250 feet
and suppose the position function is given as:
-16t² + v₀t + h₀
here;
v₀ = initial velocity
t = time
Thus, the position formula can be expressed as:
Position s(t) = -16t² + 1250 ft because v₀ = 0 ft/s and h₀ = 1250 feet
(0.4k3 – 2.5k) – (2.4k3 + 3k2 – 1.2k) =
Answer:
–2k3 – 3k2 – 1.3k
Step-by-step explanation:
Hope this helped, Have an amazing day!!
Answer:
its C (what the guy said above)
Step-by-step explanation:
The ratio of the number of marbles in the red bag to the number in the blue bag is 3 : 5
Two marbles are moved from the blue bag to the red bag, making the ratio 7 : 9.
How many marbles are there in total?
answer: 16
step by step explanation:
The total number of marbles = 32 marbles.
We have ratio of the number of marbles in the red bag to the number in the blue bag is 3 : 5. After that, two marbles are moved from the blue bag to the red bag, making the ratio 7 : 9.
We have to find out how many marbles are there in total.
Is the ratio a:b equal to [tex]\frac{a}{b}[/tex].Yes, a:b equals to [tex]\frac{a}{b}[/tex] - where ' a ' is called Antecedent and ' b ' is called Consequent.
Let the total number of marbles be x.
Let the number of marbles in the red bag be ' x ' and in blue bag ' y '.
According to question -
[tex]\frac{x}{y} =\frac{3}{5}[/tex]
5x = 3y
x = [tex]\frac{3y}{5}[/tex]
After the two marbles are moved from blue bag are moved into the red bag, then -
[tex]\frac{x+2}{y-2} =\frac{7}{9}[/tex]
9(x + 2) = 7(y - 2)
9x + 18 = 7y - 14
9x - 7y = -32
9 ([tex]\frac{3y}{5}[/tex]) - 7y = -32
[tex]\frac{27y}{5} - 7y =-32[/tex]
[tex]\frac{-8y}{5}=-32[/tex]
-8y = -32 x 5
y = 4 x 5
y = 20
Therefore -
x = [tex]\frac{3\times20}{5}[/tex] = 12
Hence, the total number of marbles = x + y = 20 + 12 = 32 marbles.
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Solve for x in terms of a: 32 + 5 = a
Answer:
A =37
Step-by-step explanation:
Because you should just do the 32 + 5 since it is equal to A therefore, whatever the answer is should be what A is equal to. So: 30 + 2 + 5 = 37.
Every fraction with a non-zero denominator or divisor is a _________.
A. Integer
B. decimal
C. rational number
D. quotient
Answer:
No estoy seguro, intenta preguntarle a tu profesor
Step-by-step explanation:
Every fraction with a non-zero denominator or divisor is a rational number.
What is a rational number?"A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator 'p' and a non-zero denominator 'q'."
Given, a fraction has a non-zero denominator.
Therefore, the fraction is a rational number for any possible case.
An integer itself a rational number.
A decimal number is always a rational number.
A quotient is the result of dividing one number with the another.
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At a school, 60% of the sixth-grade students said that hip-hop is their favorite kind of music. If 210 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school?
Answer:
350 6th grade students
Step-by-step explanation:
From the question
At a school, 60% of the sixth-grade students said that hip-hop is their favorite kind of music.
Total number of sixth graders that love hip-hop = 210
Let the total number of students in the school be represented as: x
Hence,
60% × x = 210
60/100 × x = 210
Cross Multiply
60x = 210 × 100
x = 210× 100/60
x = 350 students.
Therefore, the total number of sixth graders is 350 .
Find the value of x.
28)
Answer:
x=28
Step-by-step explanation:
4/28=k so 1/7=k
A park charges $11 for one round of miniature golf and a reduced fee for each additional round played. If
Tom paid $46 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?
The reduced fee for each additional round played is $
Plzzz help plzzz help plzzz help plzzz help
Answer:
4$ off every time because if you take 6×11 you get 66 from the total without anything off and then subtract 66-46 and you get 20 so you take 20÷ 5 because 1 round was his first and there was no discount on the first round so your answer is 4$ everytime
distributive Property for 16 + 20
Could someone help me please
Answer:
c
Step-by-step explanation:
took the test
D
2x – 3
× x + 4
2x × x = 2x²
-3 × 4 = -12
What is the relationship between the slopes of two parallel lines?
Answer:In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.
Step-by-step explanation:
The slopes of two parallel lines are always equal.
How to find the slope of a line?The slope of a line can be calculated by taking the tangent ratio of the angle formed by it with the x axis.
The angle between two parallel lines is zero.
It implies that they form same angle with the x-axis.
Since, the slope of a line is define as the tangent of the angle made by it with x axis.
The slopes of the parallel lines will be equal.
Suppose the slopes of two parallel lines are m₁ and m₂.
Then, it can be written as m₁ = m₂.
Hence, the relationship between the slopes of two parallel lines can be written as m₁ = m₂.
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