2 Hiroaki says that a constant of proportionality must be a whole number and
cannot be a fraction or a decimal. Explain why Hiroaki is incorrect.
Given:
Hiroaki says that a constant of proportionality must be a whole number and cannot be a fraction or a decimal.
To find:
The explanation, why Hiroaki is incorrect.
Solution:
If y is directly proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
[tex]\dfrac{y}{x}=k[/tex]
where, k is the constant of proportionality.
It means, the constant of proportionality is the ratio of two directly proportional variables.
So, constant of proportionality can be any real.
Thus, the statement that a constant of proportionality must be a whole number and cannot be a fraction or a decimal is incorrect.
Hence, Hiroaki is incorrect because constant of proportionality can be any real.
Solve for x. Each figure is a trapezoid
Camilla and Anne work as interior decorators in the city. Camilla can decorate a home in 5 days while Anne can
complete a home in 4 days. Working together, how long will it take them to decorate 2 homes?
Answer:
It will take them 4.44 days to decorate 2 homes.
Step-by-step explanation:
Given that:
Camilla can decorate a home in 5 days
Anne can complete a home in 4 days
Let,
x be the time taken by Camilla and Anne to decorate 1 home.
[tex]\frac{1}{Camilla's time}+\frac{1}{Anne's\ time} = \frac{1}{total\ time}\\[/tex]
[tex]\frac{1}{5}+\frac{1}{4}=\frac{1}{x}[/tex]
Taking LCM;
[tex]\frac{4+5}{20}=\frac{1}{x}\\\\\frac{9}{20}=\frac{1}{x}\\x=\frac{20}{9}[/tex]
Time taken by Camilla and Anne to decorate 2 homes = [tex]\frac{20}{9}*2=\frac{40}{9}[/tex]
Time taken to decorate Camilla and Anne 2 homes = 4.44 days
Hence,
It will take them 4.44 days to decorate 2 homes.
(3a-2) (3a-2) kindly explain me the steps plus give me solution
Answer:
9a to the power 2 +4 is the answer
Step-by-step explanation:
multiple 3a x 3a u wud get 9a to the power 2
-2 x -2 u wud get = 4
then combine the two and write the answer
Answer:
9a² - 12a + 4
Step-by-step explanation:
Given
(3a - 2)(3a - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
3a(3a - 2) - 2(3a - 2) ← distribute both parenthesis
= 9a² - 6a - 6a + 4 ← collect like terms
= 9a² - 12a + 4
The graph shows the parent function f(x)=0.75x.
answer:
it should be the graph on the top right!
The graph of the parent function f(x) = 0.75ˣ + 1 is shown in figure.
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The parent function is,
⇒ f(x) = 0.75ˣ + 1
Now,
Since, The parent function is,
⇒ f(x) = 0.75ˣ + 1
Hence, The points on the function are (0, 2) and (1, 1.75).
Thus, The graph of the parent function is given in option 2.
Learn more about the function visit:
https://brainly.com/question/13804741
#SPJ2
Simplify the below question.
Please send the answer with correct explanation.
Answer:
48t^4
Step-by-step explanation:
First you simplify and cross out all the uneeded characters because this is a division equation
Then whatever is left you calculate it
Answer:
[tex]48t^{4}[/tex]
Step-by-step explanation:
[tex]\frac{3^{3}*8t^{3}*32}{9t^{-2}*16t}=\frac{3^{3}*8*32*t^{3}}{9*16*t^{-2+1}}\\\\=\frac{3*1*32*t^{3}}{1*2*t^{-1}}\\\\= \frac{3*16*t^{3}}{t^{-1}}\\\\= 48t^{3}*t^{1}\\\\= 48*t^{3+1}\\\\=48t^{4}[/tex]
HINT:
[tex]a^{m}*a^{n}=a^{m+n}\\\\\\\frac{1}{a^{-m}}=a^{m}[/tex]
How do I graph this? Domain: 1 Range: 2
Answer:
You graph them by using the domain as x and the range y.
Step-by-step explanation:
PLEASE HELP!! An alien blob started with a mass of 4 kg and is doubling in size every day. How large will the blob be after 2 weeks?
Answer:
56
Step-by-step explanation:
Wyatt bought 12 souvenirs during 3 days of vacation. How many days will Wyatt have to spend on vacation before he will have bought a total of 20 souvenirs? Solve using unit rates
Answer: 5 days
Step-by-step explanation:
12/3=4 souvenirs a day
20/4=5 days
Answer:
Assuming Wyatt buys the same number of souvenirs per day (4), it will take him 5 days to buy 20.
Step-by-step explanation:
12/3 = 4 souvenirs/days
20/4 = 5 days
if you help me with this , you're a life saver
Step-by-step explanation:
sin0° = cos90°
sin30° = cos60°
sin45° = cos45°
sin60° = cos30°
sin90° = cos0°
Help will give star and brainlest or what ever is the highest you can give a comment!!!
Answer:
puppies - 22
Step-by-step explanation:
since the ratio is 2:3, there are 5 parts in total. (2+3=5)
55/5=11 then multiply by parts
puppies- 2×11=22
adults- 3×11=33
check answer by adding- 22+33=55
Answer:
22 puppies and 33 adult dogs
Step-by-step explanation:
Total: 55 Dogs
Ratio: 2:3
Puppies : Adults
2 : 3 (1)
20 : 30 (10)
22 : 33 (11)
Answer = 22 puppies
How can i prove this? Please someone help i get 100points
Typing.................
Answer:
I can look it up, what's this calle?
Step-by-step explanation:
solve for the variable.
3(2x-4)+6=30
x=___
Answer:
x = 6
Step-by-step explanation:
Use distributive property: a(b + c) = a*b + a*c
3(2x - 4) + 6= 30
3*2x - 3*4 + 6 = 30
6x - 12 + 6 = 30
6x - 6 = 30
6x = 30+ 6
6x = 36
x = 36/6
x = 6
Answer:
x = 6
Step-by-step explanation:
Simplify 3(2x-4) first: 3 (2x) 3(-4) =
6x - 12+6 = 30
Combine like terms: -12 + 6 = -6
6x - 6 = 30
Add 6 to both sides: 6x = 36
Divide both sides by 6: x = 6
CHECK:
3( 2(6) - 4) +6 = 30
3 (12-4) +6 = 30
3(8) +6 = 30
24+ 6 = 30
30 = 30
square root of 64 with an exponent of 3?
Answer:
512
Step-by-step explanation:
square root of 64 = 8
8 x 8 x 8 = 512
A student raises her grade from a 75 to a 90 what is the percent of increas in the students grade average
a)20%
b)16.7%
c)8.3%
d)15%
Answer:
b
Step-by-step explanation:
I got a 100 on this test so try and do well
Adam entered a three hour hot dog eating contest during the contest Adam ate four hotdogs every 15 minutes how many did he eat during the entire contest
Answer:
32 hot dogs
Step-by-step explanation:
I hope this helps you out!
Answer:
48 hot dogs
Step-by-step explanation:
So every 15 min he can eat 4 hot dogs so add 4 hot dogs each 15 min until you get 3 hours.
please help!! i’ll mark brainliest!!!!
Answer:
x^2+11x+30
Step-by-step explanation:
For which value of a are the graphs of 4 = 3x + 6y and ax – 8y = 12 parallel?
a = -4
O a =
= - 1 / 1
a = 1/2
O
a = 2
Answer: a=-4
Step-by-step explanation:
Jada has 60% of her goal of $70 saved for her trip.
If 10% x 6 = 60%, how much money does Jada have saved?
Answer:
60% of $70 is $42, so i think its $42
Answer:
Jada has saved $36
Step-by-step explanation:
60% of $60 is the question
0.6 × $60 is $36
Write 73.654 correct to 1 decimal place.
Chuck needs to drive 400 miles on the highway.
Gas costs $1.50 per gallon. How much will it cost for
gas to drive his truck 400 miles?
Answer:
$600
Step-by-step explanation:
400*1.5=600
Can Someone plz help me i will mark brainliest
Answer:
a
Step-by-step explanation:
if u multiply by -5 the 5s will cancel out
Answer:
c
Step-by-step explanation:
sorry if it wrong
How many triangles in a 15 sides polygon ?
Help me to do this problem System by sustitution.
4) y = -3x - 7
-6x - 2y = 14
Answer:
The system of equations has infinite solutions
Step-by-step explanation:
∵ y = -3x - 7 ⇒ (1)
∵ -6x - 2y = 14 ⇒ (2)
→ Substitute y in equation (2) by equation (1)
∴ -6x - 2(-3x - 7) = 14
→ Simplify the left side
∵ -6x - 2(-3x) - 2(-7) = 14
∴ -6x + 6x + 14 = 14
→ Add the like terms in the left side
∵ (-6x + 6x) + 14 = 14
∴ 0 + 14 = 14
∴ 14 = 14
∵ The variable is disappeared and the two sides of the equation equal
∴ The equation has many solutions
→ That means x and y can be any numbers
∴ The system of equations has infinite solutions
Which equation describes the same line as y- 6 = -4(x + 1)?
A. y= -4x + 3
B. y=-4x+7
C. y=-4x+2
D. y=-4x-4
Answer:
C: y = -4x + 2
Step-by-step explanation:
y - 6 = -4 ( x + 1 )
y - 6 = -4x - 4
y = -4x + 2
I need help with this math problem please! At a basketball game, 55% of people attending were supporting the home team, while 45% were supporting the visiting team. If the total number of people attending the game was 520, how many people attending were supporters of the home team?
Answer: 500
Step-by-step explanation: 275/55%=275/0.55=500
1) Solve the equation 7x+5 = 7x-3
Answer: no solutions
7x + 5 = 7x - 3
5 = -3 [ subtract 7x from both sides ]
Since we end up with 5 = -3, a clearly false equation, we conclude that the original equation has no solutions.
i hope this helps! :D
Answer:
empty set
Step-by-step explanation:
Let's solve your equation step-by-step:
7x+5=7x−3
Step 1: Subtract 7x from both sides.
7x+5−7x=7x−3−7x
5=−3
Step 2: Subtract 5 from both sides.
5−5=−3−5
0=−8
So that There is no solution.( empty set .∅)
please make as brilliant.
Variable on both sides
John will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.96 and costs an additional $0.12 per mile driven.
The second plan has an initial fee of $47.96 and costs an additional $0.16 per mile driven. How many miles would John need to drive for the two plans to cost
the same?
II miles
Х
?
So for starts we can go 0.16 x 63 miles = 10.04 so the total for the second plan would be $58 with driving 63 miles. and for the first plan would be 0.12 divided by 3 would be 0.04 so we add them together and we get $58 with driving a 3rd of a mile.
Overall:
1st plan: $58 with driving a 3rd of a mile.
2nd plan: $58 with driving 63 miles.
y=2x−1
5x−4y=1
Is (1,1) a solution of system
A.Yes
B.No
.In the coordinate x,y the point x is calledorigin
abscissa
line
y-axis
Answer:
The x coordinate is known as abscissa (B)Step-by-step Explanation:
In a Cartesian plane, we learn many such terms which represent a point, or a line, or cooridnates of some points etc[tex].[/tex]
Such terms are:
Origin (Intersection of x axis and y-axis.)x - axis (Horizontal line)y - axis (Vertical line)abscisaa (x -coordinate)ordinate (y - coordinate)