(What is the Constant of Proportionality) The variable y has a proportional relationship with
x as suggested by the graph. Use the graph to
find the constant of proportionality.
Answers
Answer:
41
Step-by-step explanation:
In a direct proportion function, the constant of proportionality is the same as the slope of the graph.
Use points (0, 0) and (1, 41).
slope = (41 - 0)/(1 - 0) = 41/1 = 41
constant of proportionality = 41
Related Questions
A gumball machine has 240 red gumballs. If the red gumballs are 50% of the total number of gumballs, how many gumballs are in the gumball machine?
Answers
Answer:
480 because 50% is just haf and half has to be equal to the 240 so you just add 240 to 240
Step-by-step explanation:
This is because 50% is half of the total. So to find the total, multiply 240 by 2.
find the discriminant of -2x^2+8=x^2-28
show work please
Answers
Answer:
432
Step-by-step explanation:
Use the values of A, B, C to find the discriminant
Write each quotient as a single power.
Answers
[tex]a)\frac{-3^4}{3^4} = -3^{4-4} = -1[/tex]
[tex]b)\frac{(-9)^{10}}{(-9)^5} = (-9)^{10-5}= (-9)^5[/tex]
[tex]c)\frac{11^9}{11^6} = 11^{9-6} =11^3[/tex]
ok done. Thank to me :>
Simplify.
4x + 2(x + 5) + 1
A) 6x + 6
B) 4x + 8
C) 6x + 11
D) 5x + 8
Answers
Answer:
C is your answer for your question
2x2 +5x+8
Given x 3-2, the expression
x+2.
is equivalent to
Answers
Answer:
x=-1
Step-by-step explanation:
so 3-2 is 1 right so what humber + 2 is 1 well -1 becasue -1 + 1 is 0 and plus 2 would be 1 so its -1 (or x= -1). Hope this helped!
The expression equivalent to the given expression is (2x+1)+6/(x+2)
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, (2x²+5x+8)/(x+2)
From the given options,
Simplifying (2x+1)+6/(x+2), we get,
= (2x+1)(x+2)+6/(x+2
= (2x²+4x+x+6+2)/(x+2)
= (2x²+5x+8)/(x+2)
Since, we get the main expression by solving the option expression,
Hence, the expression equivalent to the given expression is (2x+1)+6/(x+2)
For more references on expressions, click;
https://brainly.com/question/14083225
#SPJ2
In the year 2001, a person bought a new car for $12000. For each consecutive year after that, the value of the car depreciated by 10%. How much would the car be worth in the year 2004, to the nearest hundred dollars? i need this asap
Answers
Answer: $8700.
Step-by-step explanation:
The equation we can use is p x r^years.
p is the original value ($12000).
r is our multiplier, it goes down by 10% so our multiplier is 1-0.1 giving us 0.9.
IT is 2001 to 2004 so 3 years so we do r to the power of 3.
So we use 12000 x 0.9^3.
This is equal to 8748, to the nearest 100 dollars its $8700.
An arts academy requires there to be 5 teachers for every 90 students and 3 tutors for
every 36 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 108 students?
PLSS
Answers
The original price of a Shirt was $45. In sales, the shirt is reduced to $32.50. Calculate the percentage reduction.
Answers
Answer:
27.8%
Step-by-step explanation:
[tex]\frac{32.5}{45} =0.722[/tex]
0.722 = 72.2%
The % reduction is:
(100-72.2)% = 27.8%
Hope this helps
find the value of n n+150+7+100=200+50+27
Answers
Answer:
Step-by-step explanation:
n+150+7+100=200+50+27
n+257 = 277
n = 277 - 257
n = 20
Answer:
20
Step-by-step explanation:
hope it will help goodbye.if there is any other question feel free to ask
Which expression is equivalent to \sqrt [ 3 ] { 32 x ^ { 8 } y ^ { 10 } } ?
Answers
Answer:3x⁵
Step-by-step explanation: is equivalent to 3x⁵
The car arrives from city A to city B in 3 hours. How many hours will it take to go the same way if you increase the speed by 20%?
Answers
Given :-
The car arrives from city A to city B in 3 hours.Speed is increased by 20% .To find :-
The new time taken .Solution :-
Let us assume the distance between A and B be x and the initial speed by y . After 20% increase in the speed , new speed will be ,
[tex]\blue{\dashrightarrow} [/tex] Speed = 120y/100
[tex]\blue{\dashrightarrow} [/tex] Speed = 6/5y
• According to the Question ,
[tex]\red{\dashrightarrow} [/tex] Distance = Speed * Time
[tex]\blue{\dashrightarrow} [/tex] x = y * 3 hrs
[tex]\red{\dashrightarrow} [/tex] x = 3y
And ,
[tex]\blue{\dashrightarrow} [/tex] t = Distance/Speed
[tex]\red{\dashrightarrow} [/tex] t = x ÷ (6y/5)
[tex]\blue{\dashrightarrow} [/tex] t = 5x/6y
[tex]\red{\dashrightarrow} [/tex] t = 5 (3y)/6y
[tex]\blue{\dashrightarrow} [/tex] t = 5/2 hrs
[tex]\red{\dashrightarrow} [/tex] t = 2.5 hrs
Hence now it will take 2.5 hrs to go from A to B .
Answer:
Step-by-step explanation:
Let's say the distance between A and B is 3 miles (3, because I see a need to divide the distance by 3 hours to determine the car's speed). The actual distance makes no difference in the answer, since it is asking for a relative speed change (20%).
We find the speed to be 3 miles/3 hours, or 1 mph. A 20% increase in speed would be (1.20)(1) = 1.20 mph.
We can find the time for a 1.2 mph car to go 3 miles by:
(3 miles)/(1.2 mph) = 2.5 hours
=====
[Note that if we assumed a different distance, say 6 miles, we'd get the same result:
6 miles/3 hours = 2 mph
1.2*2 = 2.4 mph
New time = 6/2.4 = 2.5 hours; same as before]
Need help a lot stuck
Answers
Answer:
yes, sounds linear.
this is an mx + b scenario.
here's the model:
y = )3/1)x + 50
or
y = 3x + 50
where the 1 in the slope denominator is a square foot.
1,256 balls divided by 13 games. About how many balls should each game get? Estimate answers are:
A. About 80
B. About 100
Those are the choices. 80 is not enough and 100 is too many. 90 or 96R8 not there. Ugh.
Answers
If you round 1256 to 1300 and then divide it by 13 you get about 100
whats -2 - 19t if t=-1
Answers
Answer:
17
Step-by-step explanation:
-2 - 19 x -1
-2 + 19(because two negatives make a positive)
17
Answer:
17 is the answer.
Step-by-step explanation:
Given:
t = -1Let's substitute.
=> -2 - 19t
=> -2 - 19(-1)
=> -2 - (-19)
=> -2 + 19
=> 17
Therefore, 17 is the answer.
Hoped this helped.
I need this answer answed ASAP please..work out the area of the shaded shape
Answers
Answer:
Step-by-step explanation:
A = 8(14) - 5(14 - 5 - 2) = 77 m²
Answer:
77m (squared)
Step-by-step explanation:
A bag contains 4 red balls and 6 blue balls. If 3 balls are selected at random, find the probability of selecting 3 red balls?
Answers
What is the total amount and the amount of interest earned on $5,000 at 8% for 20 years?
Answers
Answer:
final balance = 24,634.02
compound interest = 19,634.02
Step-by-step explanation: not my answer
What is the missing constant term in the perfect square that starts with x^2+2x?
Answers
Answer:
+ 1
Step-by-step explanation:
Given
x² + 2x
Using the method of completing the square
add ( half the coefficient of the x- term)² to x² + 2x
= x² + 2(1)x + 1²
= x² + 2x + 1
= (x + 1)² ← perfect square
A parachutist's rate during a free fall reaches 165 feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall
during 20 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
Answers
1
m
=
3.3
f
t
1m=3.3ft
We can make the conversion from feet per second to meters per second with this procedure:
(
165
f
t
s
)
(
1
m
3.3
f
t
)
=
50
m
s
(165
s
ft
)(
3.3 ft
1 m
)=50
s
m
Let
x
x be the amount of meters the parachutist will fall during 15 seconds of free fall
Having that in 1 second the parachutist falls 50 meters, we can calculate
x
x :
x
=
(
50
m
s
)
(
15
s
)
x=(50
s
m
)(15 s)
x=750 m
Suppose that the probability that an item produced by a certain machine will be defective is 0.1. Find the probability that a sample of 20 items will contain at most 2 defective items.
Answers
Answer:
no it is really easy question to answered so do it your self
Kripa’s father is 35 years younger than her grandfather, and 40 years older than her. If the sum of the ages of the three is 160 years, let’s find her grandfather’s age?
Answers
Answer:
90 years
Step-by-step explanation:
if Kripa's age = x
Father's age = x + 40
Grandfather's age = (x + 40) + 35 = x + 75 (father is 35 years younger than grandfather i.e. grandfather is 35 years older than father)
x + x + 40 + x + 75 = 160
=> 3x = 160 - 115
=> x = 45/3 = 15
grandfather's age = x + 75 = 90 years
Answer:
90 yearsStep-by-step explanation:
x + x + 40 + x + 75 = 160
=> 3x = 160 - 115
=> x = 45/3 = 15
Grandfather's age = x + 75 = 90 years
5^2 x 5^2 20 80 625 425
Answers
Rewrite in standard form.
4y = 3 - 4/5x
Answers
Answer:
−17x+10y=3
Step-by-step explanation:
write 6 out of 40 as a fraction a decimal and a percent
Answers
Answer:15% , 0.15 , 6/40 or 3/20
Step-by-step explanation:
The percent is 15% and 15 hundredths is 0.15 and the fraction is just 6/40.
Answer:
3/20, 0.15, 15%
Step-by-step explanation:
Fraction:
6/40 un-simplified
3/20 simplified
Decimal:
0.15
Percentage:
15%
you have to solve for X
Answers
Answer:
x = 5/8Step-by-step explanation:
(1/2) / 4 = x / 51 / 8 = x / 5x = 5 / 8Done
Complete the point-slope equation of the line through -8,1 and -6,5
Answers
Answer:
y+1=3(x+8)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-(-1))/(-6-(-8))
m=(5+1)/(-6+8)
m=6/2
m=3
y-y1=m(x-x1)
y-(-1)=3(x-(-8))
y+1=3(x+8)
round to nearest ten thousand
887,173
Answers
if the number after is below 5, round down!
due in 1 hour please help
Answers
Answer:
1 2 3 4 = 123.23
Step-by-step explanation:
A 3-gallon bottle of fabric softener costs $51.36. What is the price per cup?
Answers
Answer:
$1.07
Step-by-step explanation:
16 cups per gallon
16*3=48cups
51.36/48=1.07
Find an equation for the line perpendicular to the line 7x−7y=5 having the same y-intercept as x+5y=−6.
Answers
Answer:
x + y = - 1.2
Step-by-step explanation:
7x - 7y = 5 ; y = x - [tex]\frac{5}{7}[/tex] ; the slope is 1 , and slope of ⊥ line is ( - 1 )
x + 5y = - 6 ; y = - [tex]\frac{1}{5}[/tex] x - [tex]\frac{6}{5}[/tex] ; y-intercept is ( - 1.2 )
Equation is y + [tex]\frac{6}{5}[/tex] = - ( x - 0 ) ; y = - x - 1.2 ; x + y = - 1.2
