Constant of proportionaility #1 2/30 = 1/15
Constant of proportionaility #2 d/t
1 distance divided by time
Relationship: equality
Reason: they all represent velocity and they tell us that velocity is constant.
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15 and 1/15 (answer)
Steps:
Given
Time (t) = 30 minutes
distance (d) = 2 miles
To determine the first constant of proportionality
Let time be directly proportional to distance.
t = kd
Where k is the constant of proportionality
Make k the subject
k = t/d
Substitute values for t and d
k = 30/2
k = 15
To determine the second,
Let distance be directly proportional to time.
d = kt
Make k the subject
k = d/t
Substitute values for d and t
k = 2/30
k = 1/15
Hence, the constant of proportionality are
15 and 1/15
Can anyone help? This is super difficult.
Answer:
A
Step-by-step explanation:
Recall that from the Exterior Angle Theorem, the exterior angle is equal to the sum of the two interior angles opposite from the exterior angle.
In other words:
[tex]\displaystyle m\angle QPT = m\angle HQP + m\angle PHQ[/tex]
We are given the expressions of each angle. Substitute:
[tex](6x+20)^\circ = (x+40)^\circ + (4x-5)^\circ[/tex]
Solve for x:
[tex]\displaystyle \begin{aligned} 6x + 20 & = (x+40) + (4x-5) \\ \\ 6x + 20 & = 5x + 35 \\ \\ x & = 15 \end{aligned}[/tex]
Hence, the value of x is 15.
Then the measure of ∠QPT will be:
[tex]\displaystyle\begin{aligned} m\angle QPT & = (6x+20)^\circ \\ \\ & = (6(15)+20)^\circ \\ \\ & = (90 +20)^\circ \\ \\ & = 110^\circ\end{aligned}[/tex]
In conclusion, our answer is A.
Find the measure of the angle indicated.
?
82
A) 77°
C) 82
B) 75
D) 127°
Answer:
c) 82
Step-by-step explanation:
It's 82 degrees because of the opposite interior angle theorem, which means that those two angles are the same, as well as any pair of opposite interior angles.
there are two numbers whose sum is 496 . One number is thrice the other . what are the numbers?
please explain. with answer
Hello Everyone! If you are having any difficulties in Math book D1 and D2, then do tell me in the channel discussion section. I'll be happy to respond to all your math queries. I will be uploading videos with clear explanations in order to clear your concepts.
Answer:
h
Step-by-step explanation:
b
For the function below. Find f-1 (x)
Answer:
[tex]{f}^{ - 1} (x) = \frac{3x}{2(1 + 2x)} + \frac{1}{2(1 + 2x)} [/tex]
I hope I helped you^_^
Problem solving visual pattern, please help me! Youd be a life saver
I think of a number. Then I multiply it by 3. Then I add 4. Then I divide the answer by 4. My final answer is 3 less than the number I thought of at the beggining.
Whats the alegbrac equation?
Solve the probelm to find the number at the start.
Answer:
(3n+4)/4 = n-3
Step-by-step explanation:
n = original number
n = 16
The algebraic inequality will be (3x + 4) / 4 > 3. Then the value of x will be greater than 8/3.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
I think of a number.
Let the number be 'x'.
Then I multiply it by 3. Then the expression will be
⇒ 3x
Then I add 4. Then the expression will be
⇒ 3x + 4
Then I divide the answer by 4. Then the expression will be
⇒ (3x + 4) / 4
My final answer is 3 less than the number I thought of at the beginning. Then we have
(3x + 4) / 4 > 3
Simplify the equation, then the value x will be
(3x + 4) / 4 > 3
3x + 4 > 12
3x > 8
x > 8/3
The algebraic inequality will be (3x + 4) / 4 > 3. Then the value of x will be greater than 8/3.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
Solve for the following equation for “f”
What would be the equation for "The product of 4 and the sum of x and 5 equals 28"
PLEASE HELP !
Determine the equation of this line, pitting your answer in the form Ax + By + C = 0, where A B C are intergers.
Answer:
5x + 4y - 20 = 0
Step-by-step explanation:
1. Find the two points given: (0,5) and (4,0)
2. Find the slope of the line:
m = [tex]\frac{5-0}{0-4} = \frac{-5}{4}[/tex]
3. Find y intercept by plugging in one point into the y-intercept form
y = (-5/4) x + b
0 = (-5/4) (4) + b
b = 5
4. Write out the equation in y-intercept form
y = (-5/4) x + 5
5. Rewrite it in Ax + By + C = 0 form
(5/4) x + y - 5 = 0
6. Since A B C all need to be integers, multiply the whole equation by 4
5x + 4y - 20 = 0
help me plz asap this is 50 points
Answer:
no its not 50 points lier
Step-by-step explanation:
30 28 8 21 15
Lin’s job pays$8.25 an hour plus$10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and can earn up to $175 per week (including the allowance). 1.Represent this situation mathematically. If you use variables, specify what each one means. 2.How many hours per week can Lin work? Explain or show your reasoning.
Answer:
20
Step-by-step explanation:
($8.25 x 5 hours) + 10x <= 175
41.25 + 10x <= 175
x =4 that is 4 weeks
so multiple 5 hours by 4 to get 20 hours
that way she is earning 175 per week
If two angles are supplementary then their sum is a. 90 b. 180 c. 360 d. 45
Answer:
b. 180°
Step-by-step explanation:
Supplementary angles are angles that add up to 180°
Examples are 90° and 90°, 45°, and 135°, and 60° and 120°
-Chetan K
please help me with this :(
suppose PQR is rotated 180° about the origin, (0,0). find the coordinates of P', Q', and R'. then sketch P'Q'R'
(type an ordered pair)
P'=___
Q'=___
R'=___
Answer:
I think the way they are telling is that the triangle will move to the third quadrant,
If so, then the coordinates of P'Q'R' will just be the negative of PQR.
Please help!What are the values of x and y? i’m so confused on this particular one.
The coordinates of the vertices of the preimage of a triangle are (2, 1), (3, 4), and (4, 1). The coordinates of the vertices of the image are (3, 3), (4, 6), and (5, 3). How far and in what direction was the triangle translated?
In 2010, the average cost of electricity was 11.54 cents per kilowatt hour. In 2014, the average cost of electricity
was 12.52 cents per kilowatt hour.
Which function models the average retail price of electricity, f(x), in cents per kilowatt hour, x years after 2010?
A. f(x) - 0.98x + 4.00
B. f(x) = 0.245x + 11.54
C. f(x) = 0.738x + 11.54
D. f(x) = 4.082x + 1962.89
Answer:
B
Step-by-step explanation:
First take 12.52 and subtract 11.54 to find the amount it had decreased. (.98)
After that, divide it by 4 (because it increased by .98 over 4 years) and you get .245 a year.
and sense your starting value was 11.54 the +11.54 also checks out
Gage Millar, algebra 2 tutor.
The function modeling the given situation of retail price of electricity in cents per kilowatt hour, x years after 2010 is: Option C. [tex]f(x) = 0.245x + 11.54[/tex] (in cents/kilowatt hour)
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Since the problem asks us to find the cost of electricity x years after 2010, thus, the increasing rate will add up itself x times and this addition will then be added to the price which is getting increased, which is 2010's price.
(since 2011's price = price of 2010 + constant increment,
2012's price = price of 2010 + twice of constant increment, and so on for further years)
Thus, f(x) = increment per year times x + price in 2010
Now assuming that increment in price per year is constant, we see:
Increment per year in electricity price= (price in 2014 - price in 2010)/4
Increment per year in electricity price = (0.98)/4 = 0.245 cents per year
Thus, we get:
[tex]f(x) = 0.245x + 11.54[/tex] as the price of the electricity in cents per kilowatt hour after x years from 2010.
Learn more about forming equations here:
https://brainly.com/question/11938672
Find the Slope of the line graphed?
Answer:
-1/2
Step-by-step explanation:
It is negative since the slope is declining, meaning that it is a negative slope!
It is 1/2 because we go down one and move 2 to the right, meaning that we get 1/2 and then for the negative slope get -1/2
Consider marking this as brainliest it really helps!
May I please receive help?
Answer:
slope of line 1
m = (-8 - 2) / (2 + 2)
m = -10/4 = -5/2
slope of line 2
m = (6 + 1) /(5 - 0)
m = 7/5
slope of line 3
m = (-2 + 7) /(2 - 4)
m = 5/ -2
m = -5/2
Line 1 and Line 2 are neither.
Line 1 and Line 3 are parallel since they have same slope.
Line 2 and Line 3 are neither.
P2 + 13x + 42
Factorise this please
Answer:
Step-by-step explanation:
STEPS USING FACTORING
a
2
−13a+42=0
To solve the equation, factor a
2
−13a+42 using formula a
2
+(a+b)a+ab=(a+a)(a+b). To find a and b, set up a system to be solved.
a+b=−13
ab=42
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 42.
−1,−42
−2,−21
−3,−14
−6,−7
Calculate the sum for each pair.
−1−42=−43
−2−21=−23
−3−14=−17
−6−7=−13
The solution is the pair that gives sum −13.
a=−7
b=−6
Rewrite factored expression (a+a)(a+b) using the obtained values.
(a−7)(a−6)
To find equation solutions, solve a−7=0 and a−6=0.
a=7
a=6
Please answer the math problem... I will mark you brainliest
Answer:
x=74º
y=65º
Step-by-step explanation:
53+53+x=180 > 106+x=180 > x=74
50+2y=180 > 2y=130 > y=65
The purpose of this form is so that your employer can withhold the correct amount of federal income tax from your pay.
I-9 form
W-4
application
Time Sheet
Select all of the TRUE statements about the unit rates.
The ratio 5 : has a unit rate of 35.
The ratio 5 :, , , , has a unit rate of 35.
The ratio to has a unit rate of .
The ratio , , , to , , , has a unit rate of , , , .
The ratio to has a unit rate of .
The ratio , , , , to, has a unit rate of , , , .
The ratio : has a unit rate of .
Answer:
I think you copied this. there are alot od commas
Step-by-step explanation:
Answer:
The ratio to has a unit rate of .
The ratio , , , to , , , has a unit rate of , , , .
Step-by-step explanation:
What is 7/56 simplified
Answer:
1/8
Step-by-step explanation:
BOOM!
Answer:
1/8
Step-by-step explanation:
broken down into fractions 1/8 is the simplest answer
PLEASE HELP ASAP!!! HOW DO I DO THIS?
Tamika made 6 gallons of lemonade. She used 3/4 cup of sugar for each gallon of lemonade, as shown
which model represents an amount of sugar equivalent to the amount Tamika used?
A. 5 cups
B. 6 Cups
C. 3 Cups
D. 7 Cups
Answer:
C
Step-by-step explanation:
did da test
Simplify.
8−4÷2+5⋅6
1. 32
2. 36
3. 54
4. 66
Answer: 36
Step-by-step explanation:
8-2+30
6+30
36
Samantha is deciding between two different movie streaming sites to subscribe to. Plan A costs $18 per month plus $1 per movie watched. Plan B costs $14 per month plus $2 per movie watched. Let A represent the monthly cost of Plan A if Samantha watches x per month, and let B represent the monthly cost of Plan B if Samantha watches x movies per month. Graph each function and determine the number of monthly movies watched, x, that would make the two plans have an equal monthly cost.
Answer:
Samantha would have to watch 4 Movies so x=4
Step-by-step explanation:
BRAINLIEST to correct answer!!
Answer:
5
Step-by-step explanation:
perpendicular slope of y=4/3x+1
Answer:-3/4
Step-by-step explanation:
flip and switch the sign
Answer:
Perpendicular Slope: -3/4
Step-by-step explanation:
The perpendicular slope of a line is the opposite reciprocal.