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.
The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 3) and (6, 11). A small triangle has a rise of 4 and run of 3. What is the equation of the line? y = 3 x + 3 y = three-fourths x + 3 y = four-thirds x + 3 y = 4 x + 3
Answer:
i think that the answer is the first equation
Step-by-step explanation:
The equation of the line passing through the points (0, 3) and (6, 11) is:
y = (4/3)x + 3.
Option C is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
To find the equation of the line passing through the points (0, 3) and (6, 11).
We can use the slope-intercept form of a linear equation,
which is y = mx + b, where m is the slope of the line and b is the y-intercept.
First, we can find the slope of the line by using the formula:
[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]
where
[tex](x_1, y_1) = (0, 3)\\(x_2, y_2) = (6, 11).[/tex]
So,
m = (11 - 3) / (6 - 0) = 8/6 = 4/3
The slope of the line is 4/3.
Next,
We can use the point-slope form of a linear equation to write the equation of the line in terms of one of the points and the slope:
[tex]y - y_1 = m(x - x_1)[/tex]
Choosing the point (0, 3), we get:
y - 3 = (4/3)(x - 0)
Simplifying and solving for y, we get:
y = (4/3)x + 3
Therefore,
The equation of the line passing through the points (0, 3) and (6, 11) is:
y = (4/3)x + 3.
Learn more about equation of a line here:
https://brainly.com/question/23087740
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which linear function represent the table?
Answer:
Step-by-step explanation:So, if the graph is a straight line, it is the graph of a linear function. From a table, you can verify a linear function by examining the x and y values. The rate of change for y with respect to x remains constant for a linear function. This rate of change is called the slope.Mar 9, 2011
solve for all the values of the interior angles
Answer:
x = 6
Step-by-step explanation:
measure of angle E: 5(6) + 8 = 38
measure of angle D: 6(6) + 8 = 44
measure of angle C: 180 - 82 = 98
check answers by adding all 3 angle measures to make sure they equal 180 degrees
solve the equation or inequality.
5t - 3 (7t + 1) < 93
Step-by-step explanation:
5t-3(7t+1) < 93
Remove the parentheses
5t-21t-3 < 93
-16t < 93+3
-16t < 96
Divide both sides by 16
-t<96/16
-t<6
t > -6
Answer: The inequality t < 6 is the correct answer.
Step-by-step explanation:
5t - 3 (7t + 1) < 93 <--- This is the original equation.
5t + (7t + 1) - 3 < 93 <---- Use commutative property.
16t - 3 < 93 <--- Simplify
16t - 3 + 3 < 93 + 3 <---- Add 3 to both sides,
16t < 96 <--- Simplify and do addition.
[tex]\frac{16t}{16}[/tex] < [tex]\frac{96}{16}[/tex] <--- Divide both sides by 16.
t < 6 <--- is the answer to the inequality.
Hope this helps! :D
If 15 ounces of candy cost $3.75 what is the price per unit
Answer:
$0.25 per ounce
Step-by-step explanation:
3.75 divided by 15 is 0.25
Answer:
0.25 per ounce
Step-by-step explanation:
3.75 divided by 15 is 0.25
In which story is the answer to the question 0?
1:
Neil felt sick, so his grandma took his temperature. She said his temperature
was 2°F above the normal human body temperature. At dinner time, his
temperature was 2°F higher than it was that morning. What is the difference
between Neil's temperature now and the normal human body temperature?
2:
Neil felt sick this morning, so his grandma took his temperature. She said his
temperature was 2°F above the normal human body temperature. At dinner
time, his temperature was 2°F lower than it was that morning. What is the
difference between Neil's temperature now and the normal human body
temperature?
Answer:
2
Step-by-step explanation:
It was +2 in the morning. -2 would make it 0.
the second story is the answer
juan has $1.30 in dimes and nickels he has a total of 15 coins how many dimes does juan have
Answer:
11 dimes and 4 nickles
Step-by-step explanation:
Answer:
11 dimes equals 1.10 and 4 nickels equals 20 cents
Step-by-step explanation:
Hari's weekly allowance varies depending on the number of chores he does. He received $20 in allowance the week he did 14 chores, and $14 in allowance the week he did 2 chores. Write an equation for his allowance in slope-intercept form. The equation for Hari's allowance in slope-intercept form is
explain better or brainliest cant do that
Getaway Travel Agency surveyed a random sample of 454545 of their clients about their vacation plans. Of the clients surveyed, 212121 expected that they would go on 333 vacations in the next year. There are 516516516 Getaway Travel Agency clients. Based on the data, what is the most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 333 vacations in the next year? Choose 1 answer: Choose 1 answer: (Choice A) A 454545 (Choice B) B 241241241 (Choice C) C 275275275 (Choice D) D 467467
Answer:
A 454545 is the correct answer
Answer:
its 241
Step-by-step explanation:
i did it on khan
Find the length and width of the frame
Answer:
The width is - 4 the lengeth is - 7
Step-by-step explanation:
w*l = 28in²
w = ?
l = w+3
w=2
2+3 = 5
5*2 = 10
w = 3
3+3 = 6
6*3 = 18
w = 4
4+3 = 7
7*4 = 28
So,
W = 4 L = 7
simplfy -3+7 ooooooooooooooooooooooooooooooooooooooooooooooooo
Answer:
Add -3 and 7. 4
Step-by-step explanation:
Uh ur welcome
Answer:
4
Step-by-step explanation:
I do it this way whenever there is a - and a - I just add them but add negative sign. IF like in this problem - and a + I subtract...
Hope this helps :3
I need help with this question, here's the image
Answer:
The answer Is C
Wahts the value of N
Answer:
n=7
Step-by-step explanation:
33-19÷2= 7
sorry if my answer is wrong
plzz help mee!!! chess club every 4 days. He goes to soccer practice every 3 days. If he has both activities today, in how many days will he first have both activities again?
Answer:
12 days
Step-by-step explanation:
4x3=12
using long Division perform (a²-22a+17)÷(a-13)
Answer:
wherw are yiu coms on email kingrizvi218
How many extraneous solutions does the equation below have?
fraction numerator 2 m over denominator 2 m plus 3 end fraction minus fraction numerator 2 m over denominator 2 m minus 3 end fraction equals 1
Answer:
Two extraneous solutions
Step-by-step explanation:
Duane recorded the temperature outside his window one morning. On the second day, the temperature went up 7 degrees. On the third day, the temperature went down 10 degrees. On the fourth day, the temperature went down 6 degrees, and it was 1°F. What was the temperature on the first day?
Answer:
The temperature on the first day was 10 °F.
Step-by-step explanation:
Let's find the temperature in every single step starting from the fourth day:
[tex]T_{4} = T_{3} - 6 F = 1 F[/tex]
[tex] T_{3} = 1 F + 6 F = 7 F [/tex]
Then, the temperature of the third day was 7 °F
On the third day:
[tex] T_{3} = T_{2} - 10 F = 7 F [/tex]
[tex] T_{2} = 7 F + 10 F = 17 F [/tex]
Hence, the temperature on the second day was 17 °F.
Now, on the second day:
[tex]T_{2} = T_{1} + 7 F = 17 F[/tex]
[tex] T_{1} = 17 F - 7 F = 10 F [/tex]
Therefore, the temperature on the first day was 10 °F.
I hope it helps you!
Solve the system of equations - x - y = 6 and 5x -7y=66 by combining the equations
Answer: Let's solve for x.
−x−y=6
Step 1: Add y to both sides.
−x−y+y=6+y
−x=y+6
Step 2: Divide both sides by -1.
−x
−1
=
y+6
−1
x=−y−6
Answer:
x=−y−6
Let's solve for x.
5x−7y=66
Step 1: Add 7y to both sides.
5x−7y+7y=66+7y
5x=7y+66
Step 2: Divide both sides by 5.
5x
5
=
7y+66
5
x=
7
5
y+
66
5
Answer:
x=
7
5
y+
66
5
Step-by-step explanation:
Suppose a cylinder has a diameter of 18 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet?
Answer:
Volume of a cylinder, V = πr^2h
but r= d/2
therefore, Vol = π(d/2)^2h
from the parameters given,
Vol = π(18/2)^2h
=81πh
Does anyone know the answer
Answer:
the answer is d
Step-by-step explanation:
For 55 you times the average by the time it took and you get 55 same with kick 2 so kick 3 would be 2 seconds because 15 times 2 is 30
What is the point-slope form of an equation passing through (0, -5) with a 5 points
slope of 2? *
Answer:
y=2x-5
Step-by-step explanation:
[tex]y-y_{1}=m(x-x_{1})[/tex]
[tex]x_{1}=0, y_{1}=-5\\[/tex], and m=2
[tex]y-(-5)=2(x-0)[/tex], -(-5)-Two negatives make it positive, and you distribute the 2
[tex]y+5=2x[/tex], you now subtract 5 to get y by itself to get your answer of
[tex]y=2x-5[/tex]
*NOTE* (0,-5) is the y-intercept, so you could have used the linear equation of y=mx+b, m=2, and b(y-intercept)=-5
giving you y=2x-5
PLZ HELP ME ASAP!!!!
Answer:
I cant see the picture
Step-by-step explanation:
I cant see the picture
For any rectangle ABCD, determine whether each statement is always, sometimes, or never true. ∠a≅∠b
Answer:
always
Step-by-step explanation:
no matter what the angles of a rectangle will be 90 degrees so the answer is always
Answer:
Step-by-step explanation:
Consecutive angles are equal only when dealing with a square or a rectangle. All other 4 sided figures do not have this property.
So the answer is sometimes.
write an equation in slope intercept form for the line that passes through (1,-1) and is parallel to the line described by y=2x-4
PLEASE HELP:(((((
If 2 lines are parallel, their slopes are the same, so all we need to do is plug in the given point and slope in the equation y = mx + b and solve for b.
[tex]-1 = 2(1) + b\\\\-1 = 2 + b\\\\-3 = b[/tex]
The equation of a line in slope-intercept form that goes through (1, -1) and is parallel to the line y = 2x - 4 is [tex]y = 2x - 3[/tex].
A sports store is having a 20% off sale on skis. The original price of the ski is $560.00
The tax rate is 8.5%. What is the total cost of the skis?
Answer:
Total cost: 486.080$
Step-by-step explanation:
Original Price: 560.000$
Sale: 20%
Discount: 560.000$ * 20% = 112.000$
Discounted Price: 560.000$ - 112.000$ = 448.000$
Tax Rate: 8.5%
Tax: 448.000$ * 8.5% = 38.080$
Tax after Tax: 448.000$ + 38.080$ = 486.080$
You finish
3/8 of the project. Your friend finishes 1/4 of the project. What
fraction of the project is finished?
Answer: 5/8 of the project is done
5(88) using distributive property and mental math
ILL MARK U BRAINLIEST HELP
Answer:
6x-y
Step-by-step explanation:
Add the two expressions
Answer:
6x + -y
Lets simplify this step by step:
2x + 7y + 4x −8y
2x + 7y + 4x + −8y
Then we combine like terms
=2x + 7y + 4x + −8y
=(2x + 4x) + (7y + −8y)
= 6x + −y
Y+4=2(x+3) In slope-intercept form
Also can I please have Brainliest?
Only if I'm correct of course.
Your welcome, Loves!
lus
If f(x) = 3x + 7, find:
f(3) = [?]
Answer:
The answer is 16
Step-by-step explanation:
You substitute 3 in for x.