Answers
Answer:
[tex] \sf k = 1 \\\\ \sf y = x [/tex]
Step-by-step explanation:
A graph between the amount of time that backpacker hikes to the distance travelled is given .
We need to find the constant of proportionality and the equation of the relationship .According to the Question ,
[tex]\sf \implies y \propto x \\\\\sf \implies y = kx [/tex]
Where k is a constant . Now from the graph , when y is 5 x is also 5 . On substituting the numbers ,[tex]\sf\implies 5 = k(5) \\\\\sf \implies k =\dfrac{5}{5}\\\\\sf \implies \boxed{\frak{\pink{ k = 1 }}}[/tex]
Again the constant of proportionality is the slope of the line.
Here the slope of the line is 1 and its y intercept is 0 . On using slope intercept form ,[tex]\sf\implies y = mx + c \\\\\sf \implies y = 1(x) + 0 \\\\\sf \implies \boxed{\pink{\frak{ y = x }}}[/tex]
Related Questions
Varia is studying abroad in Europe. She is required to pay $3,500 (in US dollars) per year to the university; however, she must pay in euros. How many euros can Varia expect to pay per month to the university? (Round to the nearest whole euro.)
0.7306euros = 1 US dollar
Answers
Answer:
3500
Step-by-step explanation:
if you rounding 0.7306 up to nearest euro its equal to a dollar
The number of euros that Varia can expect to pay per month to the university will be € 213.
What is conversion?Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
Varia is studying abroad in Europe. She is required to pay $3,500 (in US dollars) per year to the university, however, she must pay in euros.
We know that the conversion is 0.7306 euros = 1 US dollar. Then the number of euros per year is given as,
⇒ $3,500 x 0.7306
⇒ €2,557.1
Then the number of euros that Varia can expect to pay per month to the university will be given as,
⇒ €2,557.1 / 12
⇒ € 213.09
⇒ € 213
The number of euros that Varia can expect to pay per month to the university will be € 213.
More about the conversion link is given below.
https://brainly.com/question/9414705
#SPJ2
HURRY PLEASE
What is the equation of the line in slope -intercept form ?
Write your answer using intergers , proper fractions , and improper fractions in simplest form .
Answers
I think this is ittt
1.
The length and the width of a rectangular field are 24 feet and 18 feet respectively. A
diagonal walkwaty is made from one end to the opposite end. What is the length of the
walkway?
Answers
Answer: 30
Step-by-step explanation: square 24 and 18 (576 & 324) then add them together (900), then the square root of 900 is 30, so 30.
Answer:
Step-by-step explanation:
To find the diagonal path way, use Pythagorean theorem.
Diagonal² = length² + width²
= 24² + 18²
= 576 + 324
= 900
diagonal = √900 = √30 *30
diagonal = 30 ft
2x+2x+2=4x+2 one solution, infinite, or no solution
Answers
Answer:
0=0
Step-by-step explanation:
Elena went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for $2.50 (before taxes).
How much popcorn can you buy per dollar?
Answers
Answer:
$ 0.25 Per Ounce of popcorn
Step-by-step explanation:
2.5 / 10 = 0.25
If 10 is the amount of ounces she got of the popcorn, and we divide the total cost by 10, that'll give us the amount for 1 ounce.
the ratio of the interior angle to the exterior angle measures of a triangle is 1:4:5. What are the angle measures
Answers
Answer:
18°
Step-by-step explanation:
because it is ratio let represent by x
1x+4x+5x=180
10x=180
x=18°
hope that helps
You saved $300 from waiting tables and $100 from babysitting this
summer. You put this in a savings account that earns 0.9% interest. You
left it in the account for 24 months before deciding to spend it. How
much interest did you earn?
Answers
86.4
....................
simplified form
(3x+2)(4x² –5x+7)
Answers
Answer:
12x³ - 7x² + 11x + 14
Step-by-step explanation:
(3x + 2)(4x² - 5x + 7)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(4x² - 5x + 7) + 2(4x² - 5x + 7) ← distribute parenthesis
= 12x³ - 15x² + 21x + 8x² - 10x + 14 ← collect like terms
= 12x³ - 7x² + 11x + 14
Zhanae Gregory bought a total of 25 books and CDs during a yard sale for a total of $65.50. If books cost $1.50 each and CDs cost $5 each, how many books did she buy?
Answers
Answer:
17 books
Step-by-step explanation:
Tyler stood outside the movie theater and asked every fourth person to enter the movie theater for their favorite sport. There were
four choices football, baseball, basketball, and other. Bill surveyed a total of 52 people of those surveyed, 11 said football is their
favorite 13 said baseball is their favorite, 14 said basketball is their favorite, and 14 said other.
Identity the sample size in the situation above.
A. 65
B. 38
C. 27
D. 52
Answers
Answer: The answer is A
Step-by-step explanation: 100% Right Hope This Helps
Evaluate 7.6 x 103 +5.2 x 103 and write its solution in scientific notation.
Answers
help pleaseeeeee!!?’dndjfjcjdc
Answers
answer: 50°
If triangle is isosceles than L and J are same angles
3x + 20 = 4x + 10
3x-4x=10-20
-x = -10 (divide both sides by -1)
x=10
angle L=J = 3*10+20= 50
we can calculate it like this too 4*10 +10= 50
The governor of Utah wants to know how long they have before the entire state is zombified. If there are 3.67 million people living in Utah (3,670,016 to be exact), how many days until the entire state is infected?
options:
19 days
2 years
11 days
52 days
Answers
Answer:
wait.
Step-by-step explanation:
what do u really mean by zombies
Use the Pythagorean Theorem to find the distance between the point (1,4) and (-5,-4) on the coordinate plane? (FREE RESPONSE)
PLZ I NEED IT RIGHT NOW
Answers
Answer:
hope this helps
x^2 + y^ = c^2
The horizontal distance of the triangle is just the distance between their x values:
x = 1 - -5 = 6
The vertical distance of the triangle is just the difference between their y values:
y = 4 - -4 = 8
6^2 + 8^2= c^2
36 + 64 = c ^2
100 = c^2
10 = c
Suppose you are selling crafts at a craft show. It costs you
$100 to rent a table. Each item costs you $4 to make. You sell
them for $10 each. How many items must you sell to break
even?
Answers
The quantity of items you must sell to break even are = 17 items.
To rent a table = $100
The cost of each item = $4
You sold each item at prize = $10
Therefore the gain for each item = 10 - 4
= $6
Therefore, the quantity of items to sell to recover the cost from renting of the table is =
[tex] \frac{100}{6} [/tex]
= 16.6 items
which is approximately = 17 items.
Learn more here:
https://brainly.com/question/21770087
Anyone know thiss?I need helpppp!!
Answers
Answer:
5)
V= 1,-4
S) x=1
Min= 1,-4
zeros= (-1,0)(3,0)
6)
V= -2,0
S= x=-2
min= -2,0
zeros= -2,0
simplify 1/5(4x-7)+2/5x
4/5x-1
1 1/5x-1 2/5
1 1/5x+1 4/5
4/5x+1 4/5
Answers
Answer:
Option 2:[tex]1 \frac{1}{5} x - 1 \frac{2}{5} [/tex]Step-by-step explanation:
[tex] \frac{1}{5} (4x - 7) + \frac{2}{5} x[/tex]
[tex] = \frac{4}{5} x - \frac{7}{5} + \frac{2}{5} x[/tex]
[tex] = \frac{4}{5} x + \frac{2}{5} x - \frac{7}{5} [/tex]
[tex] = \frac{4 + 2}{5} x - 1 \frac{2}{5} x[/tex]
[tex] = \frac{6}{5} x - 1 \frac{2}{5} [/tex]
[tex] = 1 \frac{1}{5} x - 1 \frac{2}{5} x \: (ans)[/tex]
if 3x - 2y = 9 , 27x³- 8y³= 1377 , prove that xy = 4
plzz answer this question...
Answers
Step-by-step explanation:
Here we are given that , the Value of
[tex] 3x - 2y = 9 [/tex] [tex] 27x^3 - 8y^3 = 1377 [/tex]And we need to find the prove that ,
[tex] xy = 4 [/tex]We know a identity as ,
[tex] (a-b)^3 = a^3-b^3-3ab(a-b) [/tex]On cubing both sides of the given equation,
[tex] (3x-2y)^3 = 9^3 [/tex]Simplify and then substitute ,
[tex] 27x^3-8y^3 -3(3x)(2y)(3x-2y ) = 729[/tex] [tex] 1377 - 18xy (9) = 729 [/tex][tex] 162xy = 1377-729 [/tex][tex] xy =\dfrac{648}{162}[/tex][tex]xy = 4 [/tex]Hence Proved !
the tennis team is selling tickets to a car wash for $6.when they do not sell very many tickets ,the team decreaces the price 25%.what is the new cost of a ticket .
Answers
Answer:
it will be $1.50 (sure yan ah diyan joke)
Find the measures of the angles of a right triangle with one angle whose measure is 10
Answers
Answer:
10, 80 and 90 degrees.
Step-by-step explanation:
The third angle will 90 - 10 = 80 degrees.
does anyone know how to do this
Answers
Answer:
(2,2)
Step-by-step explanation:
To draw a graph you find the y value for a couple of x values. For a linear equation like the one given, two points are enough because the graph is always a straight line.
First graph
First, convert the equation into the y=... form:
x - y = 0 => y = x
No choose two x values at random, e.g., 0 and 5:
for x=0, you find y=0, so (0,0) is a point on the graph
for x=5, you find y=5, so (5,5) is a point on the graph
Now plot these two points and draw a line through them.
Second graph
First, convert the equation into the y=... form:
x + y = 4 => y = 4 - x
No choose two x values at random, e.g., 0 and 5:
for x=0, you find y=4, so (0,4) is a point on the graph
for x=5, you find y=-1, so (5,-1) is a point on the graph
Now plot these two points and draw a line through them.
An umbreela is made by stitching 12 triangular piece of cloth of two different colours with each piece measuring 40cm,40cm,and 18cm.How much clothes of each is required to make the umbrella?
Answers
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
In pic
Jonah had $340.87 in his checking account. He withdrew $52 and wrote a check for $18.72. Find the new balance.
Answers
Answer:
270.15
Step-by-step explanation:
Answer:
270.15
Step-by-step explanation:
u just add 52 and 18.72 and subtract it from 340.87
HELP PLS MARKING BRAINLEIST IF YOU ARE CORRECT
Answers
Answer:
the slop is 4 units or 40.
cora plans to buy some calligraphy pens priced at $5 each
Answers
Gavin jarred 6 liters of jam after 2 days. How many days did Gavin spend making jam if he jarred 24 liters of jam?
Answers
Answer:
=8
Step-by-step explanation: becuase this inst high school this is like third grade
what is the slope of the line that contains the points (-1,6) and (2,-3)
Answers
Answer:
-1,3
Step-by-step explanation:
The p/q form of 0.4277777....... ,9 # 0 is 77/180 ( ) 180 43 90 37 90
Answers
Answer:
77/180
Step-by-step explanation:
x = 0.42777....
Multiply by 1000 (the number of digits in decimal)
1000x = 427.7777......
100x = 42.7777...... {Now subtract}
900x = 385
x = 385/900
x = 77/180
do question four plzzz
Answers
Answer:
B
Step-by-step explanation:
PLEASE HELP ITS DUE TOMORROW Rina draws hexagon GHJKLM. She rotates this figure by 180° about the origin to create hexagon G'H'J'K'I'M'.
Which THREE statements are TRUE?
A
G'H' is parallel to L M.
B
ZG'M'L' is a right angle.
С
J'K' is perpendicular to GM
D
ZH'J'K' is congruent to ZHJK.
E
J'K' has twice the length as JK.
Answers
Answer:
A, B, D
Step-by-step explanation:
C is wrong. J'K' is not perpendicular to GM
E is wrong. Rotating the figure 180 degrees, does not change the size of any line segments. So J'K' cannot be twice the length of JK