An equation which models the relationship between X and Y is
y = 54.5x
The correct answer is option (D) y = 54.5x
What is equation?
"A mathematical statement which contains an equal symbol between two algebraic expressions that have the same value."
From given data we can observe that,
163.5/3 = 54.5 ...................(1)
327/6 = 54.5 ...................(2)
599.5/11 = 54.5 ...................(3)
From (1), (2) and (3),
y/x = 54.5
⇒ y = (54.5)x
Therefore, an equation which models the relationship between X and Y is y = 54.5x
The correct answer is option (D).
A nightclub has approximated the demand for their Thursday night drink special by p^2+200q^2=177, where p is the price (in dollars) and q is the quantity demanded (in thousands). Find and interpret when the price is $ 7 and the demand is 800 drinks.
Answer:
Step-by-step explanation:
Given the approximate demand function of night drink expressed as;
p^2+200q^2=177,
p is the price (in dollars) and;
q is the quantity demanded (in thousands).
Given
p = $7
q = 800
Required
dq/dp
Differentiating the function implicitly with respect to p shown;
2p + 400d dq/dp = 0
400q dq/dp = -2p
200qdq/dp = -p
dq/dp = -p/100q
substitute p and q into the resulting equation;
dq/dp = -7/100(800)
dq/dp = -7/80000
dq/dp = -0.0000875
This means that the rate of change of quantity demanded with respect to the price is -0.0000875
Are the trianges congruent?
If so, state how
Help ASAP
Answer:
Okay so on the first one it would be congruent because they have congruent sides or angles. (Hint: Look at the tick marks on both triangles and see if they match up, if they do then they are congruent.) I hope this helps you have a great day! <3
Step-by-step explanation:
The length of a rectangle is one inch less than five times its width. If the perimeter of the rectangle is 46 inches, find its dimensions. Write your answer as two numbers separated by a comma
Answer:
19,4 or 4,19
Step-by-step explanation:
Let the width of the rectangle be 'w' in
According to the question length of the rectangle (l) is one inch less than five times it's width;
[tex] \longrightarrow [/tex] l = (5w - 1) in
Perimeter of rectangle = 46 inches
Formula of perimeter of rectangle = 2(Length + Width)
So,
[tex]\rm \implies 2(Length + Width) = 46 \\ \\ \rm \implies 2(5w - 1 + w) = 46 \\ \\ \rm \implies 2(6w - 1) = 46 \\ \\ \rm \implies 6w - 1 = \dfrac{46}{2} \rm \implies 6w - 1 = 23 \\ \\ \rm \implies 6w = 23 + 1 \\ \\ \rm \implies 6w = 24 \\ \\ \rm \implies w = \dfrac{24}{6} \\ \\ \rm \implies w = 4 \: in[/tex]
[tex] \therefore [/tex] Width of the rectangle (w) = 4 in
Length of rectangle (l) = 5 × 4 - 1 = 19 in
4y-9+9. Please help!!!
Answer:
Step-by-step explanation:
4y-9+9= 4y since the 9's cancel each other out.
What is the equation of the line that passes through the points (-2,5) and (1,-1)?
Answer:
Step-by-step explanation:
That is the first
Answer:
1)y-3x=11 You clicked the right one
Find the slope of the line
Answer:
-1/2
Step-by-step explanation:
The scale use for a model of kitchen is 1/4 in = 1/2 ft In the model, the kitchen measures 2 1/2 by 2 3 in. What are actual dimensions of the kitchen
Answer:
5feet by 4/3feet
Step-by-step explanation:
The scale use for a model of kitchen is 1/4 in = 1/2 ft In the model, the kitchen measures 2 1/2 by 2 /3 in. What are actual dimensions of the kitchen.
From the question, we were given the conversation rate of 1/4 in = 1/2 ft In the model,
To get actual dimensions of the kitchen if the kitchen measures 2 1/2 by 2 3 in. Then
✓Let us convert 2 1/2in to feet first= 5/2in as improper fraction.
If 1/4 in = 1/2 ft
5/2in = x ft
Then cross multiply, we have
(5/2×1/2)= 1/4 × X
5/4 = 1/4X
Make X subject of the formula
X= (5/4)/(1/4)
X=5ft.
✓Let us convert 2/3in to feet
If 1/4 in = 1/2 ft
2/3in = x ft
Then cross multiply, we have
1/4×X=2/3×1/2
X=(2/3×1/2)/(1/4)
X=4/3feet
Therefore, the actual dimensions of the kitchen is 5feet by 4/3feet
Mary is painting pumpkins to earn money. She plans on selling each pumpkin for $7.50. She currently has $200 in her savings account. Is the amount of money in her bank account proportional to the number of pumpkin she sells?
Answer: No. It's not proportional
Step-by-step explanation:
The direct proportion in mathematics is expressed as:
y = kx
where
y = $200
k = constant
x = $7.50
We then solve for k
y = kx
200 = 7.50k
k = 200/7.50
k = 26.67
Since k isn't a whole number, then the amount of money in her bank account proportional to the number of pumpkin she sells.
3.1/3÷2.3/5
I Mark brainlies
Answer:
1.11/39
Step-by-step explanation:
what is 5 %9 (86 - 32) plss help
Answer:
270
Step-by-step explanation:
4^-x =1/6 find x
need help asap
Answer:
2
Step-by-step explanation:
you can make it like this
(1/4)^ x=1/16
so x=2
(Score for Question 2: 4 points)
2. You buy a pair of pants. The original cost of the pants is $30.00. The pants are on
sale for 20% off. Show your work or explain your mental math for each part! Pls explain!
Answer: 24
Step-by-step explanation:
30 divided by 10 to get 10 percent which is 3, multiply that by 2 to get 20 percent which is 6, 30 (100 percent) minus 6 (20 percent) equals 24
Write the slope-intercept form of the equation
6y-9x=36
Answer:
y= -3x + 12
Step-by-step explanation:
Hope this helps ! :)
(5^49/5^48)+4^0−(1)^79⋅(−3/−4^9)^0
what is the answer simplified
literally 20 points brainiest
THANK YOU SO MUCH MY WHOLE QUARTER OF THE YEAR DEPENDS ON THIS QUESTION
Answer:
I believe it is 3.75
Step-by-step explanation:
(5^49/5^48)+4^0−(1)^79⋅(−3/−4^9)^0
5+1−(1)^79⋅(−3/−4^9)^0
5+1−(1)^79
5⋅(−3/−4^9)^0
-3 divided by -4 to the power of 9 to the power of 0=0.75
5 times 0.75=3.75
Hope this is correct! xx
( PLEASE HELP ME!!!!!!!!!!!!!!!!!!) HELPPPPPPPPP MEEEEEEEEEEEE)which fraction and decimal forms match the long division problem?
9 divided by 4.000
A. 4/9 and 0.4 B. 9/4 and 0.4 C. 4/9 and 0.4 D. 9/4 and 0.444
Answer:
Step-by-step explanation:
9/4.000= 9/4 fraction, 2.25 decimal and 2 1/4 mixed number.
If you take 4/9 you get 0.4 as the decimal
Answer: the answer is 4/9 and 0.4 with a line on top of 4
Step-by-step explanation:
credits too: igladky689 (he said the answer)
Explain your reasoning for your answer above.
I’ll give brainliest !!
Answer:
A
Step-by-step explanation:
The triangles are the same. Congruent is when all three sides are equal to each other on both triangles
-28=p+21
Please help I don’t understand
Answer: -7
Step-by-step explanation:
-28=p+21
Move variables to the left- hand side and change its sign
-p-28=21
Move constant to the right hand side and change its sign
-p=21+28
Add the numbers
-p=49
Changes the sign on both sides of the equation
p=-49
Answer :p=-49
PLEASE MARK ME AS BRAINLIEST
Hey guys!!
Here's an easy puzzle for you...
Brainliest for the fastest and the correct answer..
So the question is- People make me, save me, change me and raise me.. Who am I
This is an easy one...
Answer:
ithe answer is money
Answer:
money
Step-by-step explanation:
the answer is money because we make them save them change them and raise them
Look at picture please !! I really need help thank you !
Answer:
h (1,2), w (3,4), y (6,0)
Step-by-step explanation:
Reflecting across y-axis means only changing the x -value between negative and positive. Flipping the sign
If A=,[2 5 7],find the value of
[1 4 9]
[8 3 6]
a23+a12-a32 matrix.
Answer:
THE CORRECT ANSER OF THIS QUESTION IS 5.
Step-by-step explanation:
Here,
a23=6
a12=5
a32=6
Now,
a23+a12-a32
=6+5-6
=5
A coach travels to the beach which is 576 KM away in 6 hours. If he is only allowed to travel at a maximum speed of 90 kph, did the coach break the speed limit? What was his average speed?
Answer:
Yes
Step-by-step explanation:
576Km:6Hrs
576 divided by 6=96 km
6 divided by 6=1
96km:1hr
96 was the coaches speed limit
km=Kilometers
Hrs=Hours
96>90
yes , the coach break the speed limit and the average speed is 96 km ph
What is Speed?Speed is the time rate at which an object is moving along a path
Given,
A coach travels to the beach which is 576 KM away in 6 hours.
The maximum speed he can travel is speed of 90 kph
We need to check whether the coach breaks the speed limit or not.
Yes he has to break the speed limit because in 6 hours with 90kph he can travel only 540 km. He still needs to travel 36 km.
and the average speed he has to maintain is 576/6
96kmph
Hence, yes the coach break the speed limit and the average speed is 96 km ph
To learn more on Speed click:
https://brainly.com/question/28224010
#SPJ2
Find the value of x.
Answer:
57 degrees
Step-by-step explanation
Answer:
x = 57
Step-by-step explanation:
So we know all triangles add up to 180 degrees. And that supplementary angles add up to 180 degrees.
So, we can do that missing angle + 138 = 180
180 - 138 = 42
180 - 42 - 81 = x = 57
A sporting goods store has 4 catchers mitts, 28 baseball gloves , 52 bats and 96 baseball in stock. What is the ratio of baseballs to baseball gloves
96:28
96 baseballs to 28 baseball gloves
can someone help me with these questions please?! -1.2x = 12 and
x/9 = 4
Answer:
Step-by-step explanation:
-1.2x=12 divide both sides by -1.2 to get x alone
x= 10
x/9=4 multiply both sides by 9
x=36
The temperature in Alaska dropped –50.16°C in 5.7 hours. How much did the temperature drop per hour?
Answer:
-8.8
Step-by-step explanation:
hope this helps!! :)
Calculator
Given j | k and mZ1 = 40".
8/1
What is mZ6?
7/2
k
Enter your answer in the box.
63
54
mZ6 =
Answer:
65 oop
Step-by-step explanation: o0iiutdgc vhy
A wheel has a radius of 13”; calculate the circumference.
Answer:
81.71"
Step-by-step explanation:
Circumference = 2*pi*radius
pi = 22/7
radius = 13
Circumference = 2*22/7*13 = 44*13 / 7 = 572/7 = 81.71"
Measure of angle A : 3x
Answer: 11 degrees
Step-by-step explanation:
Each correct answer is worth 134 points, and each incorrect answer is worth −14 points. If he gets 58 questions correct and 22 questions incorrect, does Nevan win? How many points does he score?
Answer:
i. Yes, Nevan won.
ii. Nevan scored 7464 points.
Step-by-step explanation:
Given: each correct answer = 134 points
each incorrect answer = -14 points
Since he got 58 questions correctly, then;
His number of points = 134 x 58
= 7772 points
Also, he got 22 incorrect questions, then;
His number of points = -14 x 22
= -308
Nevan's total points = 7772 + (-308)
= 7772 - 308
= 7464
Nevan scored 7464 points.
Nevan won, and also had a total of 7464 points.
Answer:
yes nevan won
Step-by-step explanation:
In ΔABC, m ∠ A = ( 3 x + 1 ) ∘ m∠A=(3x+1) ∘ , m ∠ B = ( x + 14 ) ∘ m∠B=(x+14) ∘ , and m ∠ C = ( 4 x + 5 ) ∘ m∠C=(4x+5) ∘ . What is the value of x ? x?
Answer:
x = 20
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
3x + 1 + x + 14 + 4x + 5 = 180, that is
8x + 20 = 180 ( subtract 20 from both sides )
8x = 160 ( divide both sides by 8 )
x = 20