5-6. Find the constant of proportionality (unit rate) for each set of values. Then use the constant of proportionality to write an equation that relates the two values in the table.
5. profit per shirt sold pound Shirts (s) 5 10 15 Profit (p) $7.50 $15.00 $22.50 Apples (a) 4 5 6 Price (p) $7.96 $9.95 $11.94
Hi
6 . Price per
7-8. Determine whether the relationship between the two quantities shown in the table is proportional by graphing on the coordinate plane. Explain your reasoning.
Number of 1 2 3 4 5 Pen sCost $2 54 56 58 $10 7. Cost of Buying Pens Number of 1 2 3 4Minutes Words Typed 50 90 140 180 8. Words Typed.
Solve this fast and I’ll give you 47 points
Answers
5. The constant of proportionality is 1.5
The equation is p = 1.5×s
6. The constant of proportionality is 1.99
The equation is p = 1.99 × a
7. The variables Number of Pens and Cost are not proportional
Please find attached the required graph
8. The variables Number of minutes and Words Typed are not proportional
Please find attached the required graph
The procedure for finding the answers are as follows;
5. The given data are presented as follows;
[tex]\begin{array}{ccc}Shirts \ (s)&&Profit \ (p)\\5&&7.50\\10&&15.00\\15&&22.50\end{array}[/tex]
Where two variables, s and p are proportional, we get;
p ∝ s
Therefore;
p = C × s
C = p/s
Where;
C = The constant of proportionality
Therefore, the constant of proportionality, C, of the given variables, (number of shirts, s, and profit, p, is found as follows;
C = 7.50/5 = 15.00/10 = 22.50/15 = 1.5
The constant of proportionality, C = 1.5
The equation that relates the two values is p = 1.5×s
6. For the apples to price relationship, we have;
[tex]\begin{array}{ccc}Apples \ (a)&&Price\ (p)\\4&&7.96\\5&&9.95\\6&&11.94\end{array}[/tex]
Therefore;
p ∝ a
p = C × a
C = p/a
Plugging in the values gives;
C = 7.96/4 = 9.95/5 = 11.94/6 = 1.99
The constant of proportionality, C = 1.99
Therefore, the equation relating the two values is p = 1.99 × a
7. The given data is presented in a tabular form as follows;
[tex]\begin{array}{ccc}Number \ of \ pens &&Cost\ \\1&&52\\2&&54\\3&&56\\4&&58\end{array}[/tex]
A set of data is proportional or has a proportional relationship if their x, and therefore, y-intercept is (0, 0)
From the graph of the data, created with MS Excel, the y-intercept is 50 which is not equal to zero, therefore, the relationship between the data is not a proportional relationship
8. The given data is presented in a tabular form as follows;
[tex]\begin{array}{ccc}Number \ of \ Minutes&&Words \ Typed\ \\1&&50\\2&&90\\3&&140\\4&&180\end{array}[/tex]
From the graph of the data, we have that the y-intercept of the line of best fir is 5, therefore, the relationship is not a proportional relationship
Learn more about proportional relationships here;
https://brainly.com/question/24289972.
Related Questions
Can someone please answer B (PICTURE)
Answers
Answer:
The question is asking for the perimeter. There are three ways to answer this depending on the assumptions though so I'll let you choose.
Assumptions are basically the different scenarios
1st scenario being the trim covers the carpet and the tile, they'd need 48m of trim (12+12+4+8+8+4)
2nd scenario in which the trim covers the carpet but not the tiled area, they'd need 44m of trim (12+12+4+8)
3rd scenario where the trim only covers the the tiled area, 4m of trim
(just 4 since the tile only touches 4m of the wall)
Hope this helps!
Step-by-step explanation:
trim is just the perimeter since it covers the base of the wall
If a moped goes 30 miles per hour, how many hours will it take to travel
217.5 miles?
Answers
217.5/30= 7.25
Answer:
217.5
Step-by-step explanation:
There are two ways to do this problem, first dividing to find the missing value. It will look like this:
217.5 ÷ 30 = 7.25
Or, using random numbers and multiplying it by 30, which is like this:
30 × 10 = 300
30 × 4 = 120
30 × 7 = 210
30 × 7.1 = 213
30 × 7.25 = 217.5
given that the line a is parallel to line b and that line c is parallel to line d, if m∠13 = (12x-22)° and m∠14 = (9x-29)°, find m∠2
Answers
Answer:
70°
Step-by-step explanation:
m<13 + m<14 = 180
So, 12x-22+9x-29=180
or, 21x=180+29+22
or, 21x=231
or, x=11
now m<2=<m14=9x-29
or, m<2=9×11-29=70°
Answered by GAUTHMATH
Select the reason why these triangles are
similar. If they are not, select "Not similar."
1
88°
3
2
88
6
A. AA
B. SAS
C. SSS
D. Not similar
Answers
Answer:
B. SAS
Step-by-step explanation:
Ratio of sides equal:
• 4/2= 6/3
So the 2 sides are congruent and also share same angle between.
• B. SAS is the similarity reason
Identify the type of function represented by f(x)=4 x 2^x
Answers
Answer:
exponential growth
Step-by-step explanation:
f(x) is in the form a* b^x
where a is the initial value and b is the growth/ decay factor
since b > 1 it is growth
This is the exponential form of a function
We have exponential growth
I NEED HELP ASAP!!! i dont understand
Answers
Answer:
b
Step-by-step explanation:
A parabola represents a quadratic equation. For a point called the focus and a line called the directrix, the distance from each point of the parabola to the focus is equal to its distance to the directrix. For example, if the directrix of the parabola was y=0 and the focus was (1,1), the distance between each point on the parabola to (1,1) would be equal to its distance from the line y=0.
For a parabola that has a horizontal axis of symmetry (or when y² is in the equation rather than x²), one way to write its equation is of the form
(y-k)² =4p(x-h), where (h,k) is the vertex. Now, we can try to match up this form with the equation we have,
y² = 24x
(y-k)² = 4p(x-h)
We can start by setting both sides with y equal to each other, as well as both sides containing x
y² = (y-k)²
square root both sides
y = y-k
k=0
24x = 4p(x-h)
divide both sides by 4
6x = p(x-h)
expand
6x = p*x - p*h
Because p*h does not contain an x value, we can say
6x = p * x
p = 6
6x = p*x - p*h
6x = 6x-6*h
subtract 6x from both sidex
6*h=0
h=0
Our equation is thus
y= 4(6)(x), with our vertex being (0,0) = (h,k)
The directrix is equal to x=h-p, and with p being 6, our directrix is thus
x=0-6 = -6
x=-6
write the equation in point -slope form using this graph
Answers
Step-by-step explanation:
Step 1: Write the equation using point-slope form
Point-Slope Form: [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
[tex]y-0=m(x-3)[/tex]
[tex]y = m(x-3)[/tex]
Step 2: Find the slope
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{-2-0}{-2-(-3)}[/tex]
[tex]m=\frac{-2}{1}[/tex]
[tex]m=-2[/tex]
Step 3: Combine them together
[tex]y = m(x - 3)[/tex]
y = -2(x - 3)
IF NEEDED: Completely factor
[tex]y = (-2 * x) + (-2 * -3)[/tex]
y = -2x + 6
What is the area of the figure below if all angles are right angles?
F: 2 square yards
G: 4 square yards
H: 5 square yards
J: 7 square yards
K: none of these
Answers
The required area of the figure is 5 square yards.
What is area of rectangle?Area of rectangle is defined as product of the length and width.
Suppose a rectangle and a square has been removed from rectangle.
Length of rectangle = 3 yards
Width of rectangle 2 yards
Length of square = 1 yards
Area of rectangle = 3 × 2 = 6 square yards
Area of square = 1 × 1 = 1 square yards
The required area of the figure = area of rectangle - area of square
Substitute the values
The required area of the figure = 6 - 1
The required area of the figure = 5 square yards
Hence, the required area of the figure is 5 square yards.
Learn more about Area of rectangle here:
brainly.com/question/20693059
#SPJ2
6. Márcia cortou quatro tiras retangulares de mesma largura, cada qual de um dos lados de uma folha de papel que media 30 cm por 40 cm. O pedaço de papel que sobrou tem 68% da área da folha original. Qual é a largura das tiras? A) 5 cm B) 4 cm C) 3 cm D) 2 cm E) 1 cm 40 30 5 10 D) 10 E) 5
Answers
Answer:
b
Step-by-step explanation:
i had it
Chọn bốn ví dụ sau Ví dụ nào không phải là phân số
A.3/-5 B.1,7/3 C.0/2 D.-13/-4
Answers
Answer:
a
Step-by-step explanation:
vì số âm không nằm ở dưới
Joan is cutting a roll of ribbon to be used as bows on gifts. If each bow takes 7/8 of a metre of ribbon and Joan has 7 m total of ribbon, how many bows can be made?
Answers
What is the volume of the solid? Let π=3.14
Answers
Answer:
V = 7234.56 km^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 (3.14) (12)^3
V = 7234.56 km^3
Answer:
7234, 56 km³
Step-by-step explanation:
π×R³×4/3=3.14×1728×4/3=7234, 56 km³
find the missing segment in the image below
Answers
Answer:
3
Step-by-step explanation:
Intercept theorem
DE // CB ⇒ [tex]\frac{AD}{AC} = \frac{AE}{AB}[/tex]
⇒ [tex]\frac{6}{6+?} =\frac{4}{4+2}[/tex]
⇒ ? = 3
A random walk process for a single stock consists of the toss of a fair coin at the end of each day. If the outcome is heads, the stock price increases by 1.25 percent. If the outcome is tails, the stock price decreases by 0.75 percent. What is the drift of such a process
Answers
Answer:
+0.25
Step-by-step explanation:
Calculation to determine the drift of such a process
Using this formula
Drift=(Increases in stock price*50%)- (Decreases in stock price *50%)
Let plug in the formula
Drift = (0.5)(1.25) + (0.5)(-0.75)
Drift =0.625+ (0.375)
Drift = +0.25%
Therefore the drift of such a process is +0.25
Please help explanation need it ?
Answers
Answer:
Sin(?)=35/48
?=Sin^-1(35/48)
?=46.82
? ≈ 47
OAmalOHopeO
Can some help me with this question :)
Answers
Answer:
3/7
Step-by-step explanation:
I think its only 3/7
Cause 9/18=1/2
3/5=0.6
2/10=1/5
and 8/24=1/3
Answer:
[tex] \frac{8}{24} [/tex]
[tex] \frac{2}{10} [/tex]
[tex] \frac{9}{18} [/tex]
= X
20
100
60
Please help me
Answers
Answer:
x = 100
Step-by-step explanation:
(100-40)/2
= 60/2
= 30
So it's 100
Answered by GAUTHMATH
when a certain number is added to 11 and the result is multiplied by 3, the final result is 45 . find the number
Answers
Answer:
4
Step-by-step explanation:
Let the number = x
Added to 11 = 11+x
Multiply result by 3 = 3(11+x)
Final result = 45
Solving
3(11 + x) =45
33 +3x = 45
3x= 45-33
3x=12
X=4 by dividing both side by 3
What is the measure of n?
Answers
Answer:
m = 10, n = [tex]\sqrt{75}[/tex]
Step-by-step explanation:
We know that the value of an altitude of a right triangle is the square root of the values that the altitude split multiplied together (or the square root of the value of the bases multiplied together).
The values here would be 5 and 15. 5 times 15 is 75, so the value of the altitude is the square root of 75. To find the value of m, we can use the Pythagorean theorem, where 5 and n are the legs and m is the hypotenuse. We already know the value of n, so we can plug that into the Pythagorean theorem:
[tex]5^2+(\sqrt{75})^2=m^2[/tex]
We know 5 squared is 25, and the square of the square root of 75 is 75, and 75 + 25 is 100.
[tex]m^2=100[/tex]
This means that m is equal 10, because the square root of 100 is m.
Find the value of x and y in the following figure
Answers
Step-by-step explanation:
y+80+70=180
y+150=180
y=30
Now you can, easily find x
Find the midpoint given the endpoints (4,-10) (22,-4) Please do not use space when
typing in your answer
Answers
Answer: (13,-7)
Step-by-step explanation:
By using the formula [tex](x_{m},y_{m}) =(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2} )[/tex]
[tex](x_{m},y_{m})\\[/tex] is the coordinates of the midpoint.
For finding the midpoint X variable do:
[tex](\frac{4+22}{2})=13[/tex]
For finding the midpoint Y variable do:
[tex]\frac{-10+(-4)}{2} = -7[/tex] (you can either keep the parenthesis or take them out. Either way, the answer is the same.
Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.
x: 13
y: -7
(13,-7).
Helppppp pleaseeee anyoneeeee
Answers
Alright, let's do some math!
We know that the constant is = 25, and that for every 1 year it grows by 80.
So, we can create the formula h= 80y+25. This is a really simple way of saying that h is equal to 80 x the value of y + the base of 25.
Now we just need to plug in the numbers and we will get our answers!
y=5 80(5)+25= 425
y=7 80(7)+25= 585
y=9 80(9)+25= 745
y=10 80(10)+25= 825
I hope this helps! :)
Answer:
y=5,h=345. y=7, h=505. y=9, h=665. y=10, h=745.
Step-by-step explanation:
y=5
Add 320 to when it was first planted.
y=7
Add 160 to when y=5.
y=9
Add 160 to when y=7.
y=10
Add 80 to when y=9.
Is the statement at the top true or false
Answers
Answer:
false
Step-by-step explanation:
these angles are horizonal
1_tanA/1+tanA=cotA_1/cotA+1
Answers
Answer:
here,
L.H.S;
1-tanA / 1+tanA
=1-1/cotA / 1+1/cotA
= cotA-1/cotA / cotA+1/cotA
=cotA-1 / cotA+1
= R.H.S
proved
Answer:
if it's a math proof, i will think this is answer
Step-by-step explanation:
A rental car company offers two rental plans, Plan A and Plan B, for the same economy size car. For both plans, the total rental cost F(m) is a function of the number of miles M that the car is driven.
Plan A: f(m) = 0.12 + 75
Plan B: f(m) = 0.35m
I. In complete sentences, translate each function into a verbal model describing the total cost of the rental in terms of the number of miles that the car is driven.
II. For each function, determine how the rate of change will affect the total cost of a car rental.
III. For a car rental that will include a maximum of 250 miles for the duration of the rental, which plan is the most cost effective?
Answers
Answer:
Plan B
Step-by-step explanation:
Which of the lines below has a negative slope?
Answers
The answer is A. Line A.
Answer:
A
Step-by-step explanation:
A negative slope goes down from left to right
A positive slope goes up from left to right
A zero slope is a horizontal line
An undefined slope is a vertical line
A is a line that goes down from left to right
solve for θ:
sin(θ-70)=cos(θ)
pls help and explain step by step
thank you
Answers
Answer:
Use this rule : cosx = sin (90 - x)
sin( x -70) = sin (90 - x)
x-70 = 90 - x
2x = 160
x = 80
If 5k = -25, then 5k - 1 = -25 - 1
Segment proof
Answers
After getting RM24 from his mother, Samuel had 3 times as much as he had previously. How much did he have previously?
Answers
Answer:
Samuel had RM8 previously
Step-by-step explanation:
24÷3=8
Enter the location of the point as an ordered pair.
5
-5
-6
Answers
Answer:
(4,1)
Step-by-step explanation:
(4,1) is the correct answer. Answered by Gauthmath
