Find the constant of proportionality.
Use the constant of proportionality to write a unit rate for the data in the table.
Write an equation to represent the relationship between time, t, and distance, d. i will give brainliest if u help
Answers
Answer:
see explanation
Step-by-step explanation:
(a)
constant of proportion = [tex]\frac{d}{t}[/tex] ( d is distance, t is time )
Use any ordered pair from the table
Using d = 225 and t = 5 , then
constant = [tex]\frac{225}{5}[/tex] = 45
(b)
Unit rate is then 45 miles per hour
(c)
The equation relating the quantities is
d = 45t
Answer:
(a)
constant of proportion = ( d is distance, t is time )
Use any ordered pair from the table
Using d = 225 and t = 5 , then
constant = = 45
(b)
Unit rate is then 45 miles per hour
(c)
The equation relating the quantities is
d = 45t
Related Questions
In an all boys school, the height of the student body are normally distributed with a mean of 69 inches and a standard deviation of 5 inches. using the empirical rule, what percentage of the boys are between 54 and 84 inches tall?
Answers
Answer:
99.7% of the boys are between 54 and 84 inches tall.
Step-by-step explanation:
The heights 54 and 84 inches are 3 standard deviations away from the mean. Thus, 99.7% of the boys are between 54 and 84 inches tall.
The percentage of the boys are between 54 and 84 inches tall is 99.7%
What is percentage?
Percentage a relative value indicating hundredth parts of any quantity.
What is empirical rule?
The empirical rule or the three-sigma rule , is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations of the mean.
The empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
From question mean(μ) = 69 in. and standard deviation(σ)= 5 in.
(µ ± σ) = (69 ± 5)
=64 - 74
=68%
(µ ± 2σ) =(69 ± 10)
=59 -79
=95%
(µ ± 3σ) =(69 ± 15)
=54 -84
= 99.7%
Thus the percentage of the boys are between 54 and 84 inches tall is 99.7%
To know more about empirical rule click here
https://brainly.com/question/16643905
#SPJ2
Please please help help please please ASAP
Answers
Answer:
false
Step-by-step explanation:
The horizontal axis is the x axis.
I don't really know what your school wants in the blank but here's what I think it is:
The horizontal axis on the coordinate grid is the x axis.
Hope this helps! let me know if its right!
Lyla is planning on riding his bike no more than 65 miles during the week. She has already ridden 17 miles. Write and solve an inequality to find how many more miles she can ride. Then interpret the solution.
Answers
Answer:
17 + m ≤ 65
Step-by-step explanation:
Maximum distance = 65 miles
Number of miles already ridden = 17
Expression to represent how many more miles, 'm' she can ride ;
Number of miles already ridden + m ≤ maximum distance
17 + m ≤ 65
m ≤ 65 - 17
m ≤ 48
The amount of additional miles Lyla can ride is at most 48 miles
pls help 10 points !! :))
Answers
Answer:
The second one
Step-by-step explanation:
Don’t answer if you don’t know, it’s rude
Word search
Vertical, diagonal.horizontal,
backwards
I’ll appreciate if u find atleast 1
Answers
Answer:
down here :)
Step-by-step explanation:
Digits: Go to the last E in Greek alphabet, and go down three spaces. The word runs diagonally into the top right corner.
Fraction: Go one above the N in Repeating. runds up diagonally into the top left corner.
I need the answer to question 3 please help me
Answers
Answer:
[tex]x = 26[/tex]
Step-by-step explanation:
Supplementary Angles add up to 180.
Angle C and Angle D add up to 180.
[tex]128 + 2x = 180[/tex]
[tex]2x = 52[/tex]
[tex]x = 26[/tex]
What is the probability of people choosing ice cream or soda? Write your answer as a decimal. 30points Only if you get it right
Answers
Answer 50% or .5 there are 2 things
-5x + 4y = 7
-5x - 3y = -14
Answers
Answer:
1. x = [tex]\frac{4}{5}y + \frac{-7}{5}[/tex]
2. x = [tex]\frac{-3}{5}y + \frac{14}{5}[/tex]
Step-by-step explanation:
D Question 5 5) A bag contains colored paper clips. 2 clips are green 4 clips are orange 2 clips yellow A paper clip will be randomly selected from the bag. What is the probability in decimal form that the paper clip selected will be green?
Answers
Answer:
0.125
green
Step-by-step explanation:
Since we know that there is 8 clips (2+2+4) and then we take 4/8 as a decimal and we then get 0.125
Answer: 0.25
Step-by-step explanation: 2+4+2=8 8clios in the bag and 2 are green, so 2/8 is the probability it will be a green selected. 2/8 in decimal form is 0.25
calculate the mean of 7,0,11,10
Answers
Answer:
7
Step-by-step explanation:
7+0+11+10=28
28/4=7
7+0+11+10=28/4=7
the area of a rectangle is the same as the area of a square of side 12cm .if the rectangle is 16 long find its width.
Answers
Answer:
width = 9 cm
Step-by-step explanation:
the area of a 12cm square is 144
16w = 144
x = 9
In a company's first year in operation, it made an annual profit of \$333,500$333,500. The profit of the company increased at a constant 8% per year each year. How much profit would the company make over the course of its first 24 years of operation, ?
Answers
P × R × T ÷ 100
333,500 × 8% ×24 ÷ 100
64,032,000÷100
640,320
The amount of profit would the company make over the course of its first 24 years of operation should be $2,114,784.
Calculation of the amount of profit:Since annual profit is $333,500
The profit percentage should be likely 8%
And, the number of years should be 24
So, the amount of profit should be
[tex]= $333,500 * (1 + 0.08)^{24[/tex]
= $2,114,784
hence, The amount of profit would the company make over the course of its first 24 years of operation should be $2,114,784.
Learn more about profits here: https://brainly.com/question/10176219
2(x - 1) 3(x - 2)
3
4
1
I did not understand
Answers
Answer:
3(x-2)
4(x-5)
5(x-6)
1(x-2)
what is the greatest common factor of the polynomials: 35x^4+10x^3+25x^2
Answers
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
5x^2
Step-by-step explanation:
35x^4 + 10x^3 + 25x^2 =
Break up each term into a product of all its prime factors.
= 5 * 7 * x * x * x * x + 2 * 5 * x * x * x + 5 * 5 * x * x
Now see which factors are in common to all terms.
GCF = 5x^2
Naomi is reading a book that has 420 pages she reads 35 pages each day how many days will naomi need to finish this book
Answers
Answer:
12 days
Step-by-step explanation:
420/35 to find amount of days to finish book
420/35 = 12
PLZ ANSWER FOR TEST
In triangle xyz, angle x measures 19.9° and angle
y measures 113.6°. what is the measure of angle z
A. 113.5°
B. 47.5°
C. 46.5°
D. 180°
Answers
Answer:
C
Step-by-step explanation:
19.9 + 113.6 = 133.5
180-133.5= 46.5
Answer:
[C] 46.5°
Step-by-step explanation:
Given:
In triangle xyz, angle x measures 19.9° and angle
y measures 113.6°. what is the measure of angle z
Note that:
Triangle = 180 degree
Solution:
Since,
x = 19.9 degree
y = 113.6 degree
then we have:
19.9 + 133.6 + z = 180
133.5 + z = 180
Subtract both sides by 133.5
133.5 - 133.5 = 180 - 133.5
x = 46.5 degree
Hence, the measure of angle z is 46.5
Also means that [C] 46.5 is the correct answer.
Kavinsky
BRAINLISRST AND EXTRA POINTS I NEEDS I HELP
Sally deposits $150 into a bank
Account in 2020 that earns 3.5%
annual interest. What exponential
function represents the situation?
Answers
Answer:150/3.5
Step-by-step explanation:
Solve the system of linear equations using either substitution or the elimination method.
y = 3x +5
X+y=1
Answers
Answer:
x = -1
y = 2
Step-by-step explanation:
x + y = 1
y = -x + 1
y = -x + 1 (Multiply this by -1)
y = 3x +5
-y = x - 1
y = 3x +5
0 = 4x + 4
4x = -4
x = -1
x + y = 1
-1 + y = 1
y = 2
What is the lateral and surface area? No link or you will be reported
Answers
A CD usually sells for $17.00. If the CD is 20% off, and sales tax is 6%, what is the total price of the CD, including tax?
A.
$14.42
B.
$15.32
C.
$13.52
D.
$14.62
Answers
Answer:
14.42
Step-by-step explanation:
17.00 x .80 20% off means price is 80% (or .80) of price
=13.6
13.6 x .06 = .82 sales tax
13.60 + .82 = 14.42 sales price plus sales tax
Mrs. Gurung spends 75% of her income every month which amounts to Rs 9000 and the rest she saves in a bank
Answers
Answer:
See the explanation below
Step-by-step explanation:
The question is asking what the income is and what the rest amount is
We are told that 75% of the income is Rs. 9000
Le the income be x
so
75/100*x=9000
0.75x=9000
x= 9000/0.75
x=12000
Hence the income is
Rs. 12000
The rest amount
=12000-9000
=Rs. 3000
At the local store, the cost of 1 pair of jeans is $24 and the cost of 3 pairs is $24 × 3 = $72. At the online store, the cost of 2 pairs of jeans is ($22 × 2) + $6 = $50 and the cost of 3 pairs is ($22 × 3) + $6 = $72.
Answers
Complete question :
Complete the tables to relate the numbers of pairs of jeans to the cost of the jeans at each store. Assume that Tim is placing a single order, and
ignore any taxes.
Answer:
$24, $72
$50
Step-by-step explanation:
From the table :
At local store :
2 pair of jeans cost $48
Cost of a pair :
Cost of 2 pairs / number of pairs
$48 / 2 = $24
Cost of 3 pairs :
Cost per pair * number of pairs :
$24 * 3 = $72
At online store :
Cost of Jean include a fixed fee of $6
Cost of one pair of Jean = $28
Actual cost of Jean :
$28 - $6 = $22
Hence, cost of 2 pair of jeans:
($22*2) + $6
$44 + $6 = $50
Help! Thanks if you do! ✨✨
Answers
Answer:
I would say either A or C
Step-by-step explanation:
ME HAS CONFUSION PWEASE HELP
Answers
Answer:
The answer is 261
Step-by-step explanation:
Answer:
sorry if i am wrong but i think it is 35
Step-by-step explanation:
i think you have to add the 37 and 39 to get 76 and subtract 111 to get 35
ILL GIVE BRAINLIEST PLEASE HELP ASAP
Answers
Answer:
4.4
Step-by-step explanation:
(-7/10 + 0.15) ÷ (-0.125)
(-70/100 + 15/100) ÷ (-0.125)
-55/100/-0.125
-.55/-0.125
4.4
Will mark brainliest- please help! find x
Answers
Answer:
15
Step-by-step explanation:
Assuming x is the length DB
Δ DSR and Δ DBC are similar, so ratios of corresponding sides are equal, that is
[tex]\frac{DB}{DS}[/tex] = [tex]\frac{DC}{DR}[/tex] , substitute values
[tex]\frac{DB}{10}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )
8 DB = 120 ( divide both sides by 8 )
DB = 15
That is x = DB = 15
Write an exponential decay model for each situation. The value of x for each value of f(x) will lie between two consecutive whole numbers. List the whole numbers.
initial value: 1,800
decay rate: 7%
f(x) = 400
Answers
Answer:
The numbers are;
20 and 21
Step-by-step explanation:
A general form of an exponential decay model can be presented as follows;
f(x) = a·(1 + r)ˣ
Where;
f(x) = The output for a given input variable, 'x'
x = The input variable
a = The initial value
r = The growth (+ve) or decay (-ve) rate
When f(x) = 400, a = 1,800, r = -7% = -0.07, we get;
400 = 1,800 × (1 - 0.07)ˣ
(1 - 0.07)ˣ = 400/1,800 = 2/9
ln((1 - 0.07)ˣ) = ln(2/9)
x = ln(2/9)/(ln(1 - 0.07)) ≈ 20.73
The value of 'x' lies between 20 and 21.
find the measure of the angle indicated
Answers
Answer:
105
Step-by-step explanation:
x + 25 + 80 = 180
x + 105 = 180
x = 75
x + y = 180
75 + y = 180
y = 105
Select the ratio equivalent to tan (o)
Answers
Answer:
D.
tangent = opp over adj
Step-by-step explanation:
Mary drove 715 miles in 13 hours, At the same rate, how many miles would she drive in 9 hours?
Answers
Answer:
495 miles
Step-by-step explanation: