The equation f equals 9/5 C + 32 relates temperature measured in degrees celsius C to degrees Fahrenheit f Determine whether there is a proportional relationship between C and F explain your reason
Given:
[tex]F=\dfrac{9}{5}C+32[/tex]
where, F is degree Fahrenheit and C is degree Celsius.
To find:
Whether there is a proportional relationship between C and F.
Solution:
We know that, proportional relations is defined as
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
where, k is constant of proportionality.
So, the line of proportional relationship passes through (0,0) and the equation must be true for (0,0).
If there is a proportional relationship between C and F, then the equation must be true for (0,0).
Substituting F=0 and C=0 in the given equation, we get
[tex]0=\dfrac{9}{5}(0)+32[/tex]
[tex]0=0+32[/tex]
[tex]0=32[/tex]
This statement is false because [tex]0\neq 32[/tex].
It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.
Hence, there is not a proportional relationship between C and F.
Triangle LMN with vertices L(0, 3), M(3, 4), and N(1, 2): a) 180° rotation about the origin b) dilation with scale factor of 2 using the origin as the center
Answer:
[tex]L" = (-6,0)[/tex] [tex]M" = (-8,-6)[/tex] [tex]N" = (-4,-2)[/tex]
Step-by-step explanation:
Given
[tex]L = (0,3)[/tex]
[tex]M = (3,4)[/tex]
[tex]N = (1,2)[/tex]
Required
Determine the new coordinates of L, M and N
Applying (a): 180 degrees rotation about the origin
When [tex](x,y)[/tex] is rotated about 180 degrees, the new point becomes [tex](-y,-x)[/tex]
So:
[tex]L = (0,3)[/tex] ==> [tex]L' = (-3,0)[/tex]
[tex]M = (3,4)[/tex] ==> [tex]M' = (-4,-3)[/tex]
[tex]N = (1,2)[/tex] ==> [tex]N' = (-2,-1)[/tex]
Applying (b): Dilation of scale factor, 2
The formula to apply here is;
[tex]New = Old * Scale\ Factor[/tex]
So:
[tex]L' = (-3,0)[/tex] becomes:
[tex]L" = L' * 2[/tex]
[tex]L" = (-3,0) * 2[/tex]
[tex]L" = (-6,0)[/tex]
[tex]M' = (-4,-3)[/tex] becomes:
[tex]M" = M' * 2[/tex]
[tex]M" = (-4,-3) * 2[/tex]
[tex]M" = (-8,-6)[/tex]
[tex]N' = (-2,-1)[/tex]
[tex]N" = N' * 2[/tex]
[tex]N" = (-2,-1) * 2[/tex]
[tex]N" = (-4,-2)[/tex]
Hence;
The new coordinates are:
[tex]L" = (-6,0)[/tex]
[tex]M" = (-8,-6)[/tex]
[tex]N" = (-4,-2)[/tex]
The fraction 3/8 is closest to which benchmark?
zero
one-half
seven-eights
one
Answer:
I would say one-half
Step-by-step explanation:
because its 3/8 and is close to 4/8 which is equal to 1/2
Answer:
1/2
Step-by-step explanation:
1/2 × 4 = 4/8 jdvegeje shhe
describe a real-world situation that models the multiplication expression 20(-1).
Basically you can write taking from something or using something 20 times. Here are three examples.
You borrowed 1 dollar from someone 20 times. You descend 1 meter at a time (like a submarine).There are 20 candies in the jar. Each day you eat 1 candy.Can Anybody Help With Geometry Work?
the answer would be AAG
Sally bought 124 sheets of stickers. Each sheet had 14 stickers. She gave away 204 stickers to her family and friends on Christmas. How many stickers does Sally have remaining?
Answer:
Sally has 1,532 stickers remaining.
Step-by-step explanation:
First, you have to determine the total amount of stickers Sally bought by multiplying the number of sheets she bought for the number of stickers in each sheet:
124*14=1,736
Now, you have to subtract the number of stickers Sally gave away to her family and friends from the total amount of stickers she bought:
1,736-204=1,532
According to this, the answer is that Sally has 1,532 stickers remaining.
If you are doing a gift exchange, and everyone has to spend at least 10 dollars but less than 20 dollars, what inequality represents the situation
Answer:
10≥x<20
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!! Use the system of equations to answer the questions. 2x + 3y = 3 y = 8 – 3x The value of y from the second equation is substituted back into the first equation. What is the resulting equation? What is the value of x? What is the value of y?
Answer:
x=3 y=-1
Step-by-step explanation:
2x+3y=3;y=8−3x
Rewrite
y=−3x+8 2x+3y=3
Step: Solvey=−3x+8 for y:
y=−3x+8
Step: Substitute−3x+8foryin2x+3y=3:
2x+3y=3
2x+3(−3x+8)=3
−7x+24=3(Simplify both sides of the equation)
−7x+24+−24=3+−24(Add -24 to both sides)
−7x=−21
−7 - 7
x=3 (Divide both sides by -7)
x=3
Step: Substitute3forxiny=−3x+8:
y=−3x+8
y=(−3)(3)+8
y=−1(Simplify both sides of the equation)
this might be confusing but you gotta study :)
can someone help meWhat is the missing numerator?
blank over seven plus thirteen over fourteen equals one and three fourteenths (20 points)
a
11
b
8
c
5
d
2
Answer:
d 2
Step-by-step explanation:
x/7 +13/14 = 17/14
double the first one so all the denominators are the same
2x/14+13/14=17/14
then subtract the second fraction from the thrid
2x/14=4/14
then we can divide by two so we are back to 7 as the demoninator
x/7=2/7
Apples cost $1.47 per pound. Danielle buys an apple that weighs 0.62 pound. To the nearest cent, how much does Danielle’s apple cost?
Answer:
91 cents
Step-by-step explanation: Just a hunch
The amount that Danielle’s apple cost is $0.91.
Using this formula
Cost=Sales price per pound× Weight per pound
Where:
Sales price per pound=$1.47
Weight in pound=0.62 pound
Let plug in the formula
Cost=$1.47×0.62
Cost=$0.91
Inconclusion the amount that Danielle’s apple cost is $0.91.
Learn more here:
https://brainly.com/question/22214116
Select the step in the solution that FIRST shows an error.
Step 1: 4x – 10 = 10
Step 2: 4x = 20
Step 3: 4x = 5
Step 4: X = 1.25
Step 1
Step 2
Step 3
Step 4
Answer:Step 3
Step-by-step explanation:
Solve the equation. m + (-22) = -25
Answer:
m=-3
Step-by-step explanation:
move the -22 to the other side by adding 22 on both sides:
m-22+22=-25+22
Simplify:
m=-3
Answer: m=-3
Hope this helps!
What is the slope, m, and y-intercept for the line that is plotted on the grid?
Answer:
the slope and m is 2 and the y intercept is 4
Step-by-step explanation:
Remember y=mx+b
please help :) im stupid and bad at this lol
(i meant to put english not math)
name the four types of transition words and what type of relationship each shows.
Answer:
Addition. “Also, I have to stop at the store on the way home.” ...
Comparison. “In the same way, the author foreshadows a conflict between two minor characters.” ...
Concession. “Granted, you did not ask ahead of time.” ...
Step-by-step explanation:
The Corner Market will sell 3 papayas for $3.75.
The unit rate is
The slope of the line that best represents the cost of papayas is
The unit rate and the slope of the line represent the
Answer:
The cost of papayas each is 1.25
Step-by-step explanation:
Hope this helped
can you please help meee ,due at 11!
Answer:
x-intercept: -1/2
y-intercept: 5/2
Step-by-step explanation:
determine the slope of the line that passes through each pair of points. (-2,1) and (0,-2)
Answer:
slope = - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (0, - 2)
m = [tex]\frac{-2-1}{0+2}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]
NEED HELP NEED HELP please if you know show me how you got the answer
Answer:
It says to Graph y = 1/2x - 4
So equation y = 1/2x - 4
this corresponds to slope intercept form which is y = mx + b
M = slope = rise / run
B = y - intercept
First, start at the origin, (0,0)
Then go down 4, you should now be on the coordinate (0,4)
Now we need to use the slope.
The slope is 1 / 2, this means rise 1, run 2 (in this case 2 to the right because it is positive)
So, start at (0 , 4) and go up 1 unit then 2 to the right, then place a dot, keep repeating until you meet the end of the paper.
Then do the opposite so that you can graph the other side.
Down 1 and 2 to the left.
Answer:
Graph Points (0.-4) and (8,0) and connect the dots into a line
Step-by-step explanation:
To graph y=1/2x-4 you will need to find the y and x-intercept. To find an intercept you have to substitute the x and y variables with 0 one at a time. I first substitute the x variable with an 0 and got the equation y=-4 so my y-intercept is (0.-4). Then I substituted the y variable with 0 and got 0=1/2x-4, I added 4 on each side to get rid of it and got 4=1/2x. I then multiplied both sides by 2 to get the x by itself and got 8=x so my x-intercept is (8,0). Whenever your graphing slope-intercept form equations just find the y and x-intercepts, graph them, connect the dots.
Hope this helps you
Jackson kitten weighed 2 pounds 3 ounces a month later the kitten weighed 56 ounces. How munch weight did the kitten gain in that month. How many ounces did the kitten gain
Answer: 21 ounces
Step-by-step explanation:
From the question, we are told that Jackson kitten weighed 2 pounds 3 ounces a month. We should note that 16 ounces = 1 pound.
Therefore we'll convert 2 pounds, 3 ounces to ounces. This will be:
= (2 × 16 ounces) + 3 ounces
= 32 ounces + 3 ounces
= 35 ounces
We are further told that later the kitten weighed 56 ounces.
The amount of weight gained by the kitten in that month will be:
= 56 ounces - 35 ounces
= 21 ounces
What are the equations of the asymptotes of the hyperbola?
[tex]\frac{(y+4)^{2} }{36}[/tex] - [tex]\frac{(x-6)^{2} }{49}[/tex] =1
Enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.
Answer:
hyperbola?
[tex]\frac{(y+4)^{2} }{36}[/tex] - [tex]\frac{(x-6)^{2} }{49}[/tex] =1
Enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.
(6th grade math)
yasiara has 3/4 of cake. she wants to divide it up into 1/12 size pieces. how many pieces will she have? ( can you show work please)
Use the distributive property to expand the following expression.
-2(2.1x+3y-1.8)
WILL MARK BRAINLYEST
Helppppp me plzzzzzzzzzzz somebody
Answer:
(2,0)
Step-by-step explanation:
On the x-axis, the point is at 2. The point has a y-value of 0, as it's on the x-axis.
2. How many solutions does the system have?
y - 4x = -3
2y - 8x = 10
a. one solution
b. two solutions
c. infinitely many solutions
d. no solution
Answer:
no solution both
Step-by-step explanation:
Mother has purchased 75 yards of green fabric and 125 yards of white fabric to make green and white curtains. What is the largest number of curtains she can make if she wants all the curtains to be exactly the same length, and to have no fabric left over? How many yards of each kind of fabric would be used for each curtain?
Answer:
I don't fing know.
Step-by-step explanation:
Answer:
It would be 125 divided by 75.
The function y=2x+6 is shifted down 8 units. What is the equation of the new function?
Answer:
y = 2x -2
Step-by-step explanation:
When you shift down or up, you move down or up the y-axis. Here, the 6 was the y-intercept, so you subtract 8 from 6.
Machine B covers 2/3 square feet in 1/5 hours
Answer:
He covers 10/3 or 3 1/3 square feet in 1 hour
Step-by-step explanation:
Seance he covers 2/3 feet in 1/5 hours 2*5 will give you 10 so you have 10/3
PLEASE PLEASE HELP ME ! Jerry wants to buy his grandpa's old car for $500.00. He works 10 hours a week
at $7.50 an hour. How many weeks will he need to work before he earns enough
money to buy the car? Write and equation
Answer:
Step-by-step explanation:
Needs $500 Makes 7.50 and works 10 hours week.
7.50*10= $75.00 a week
500/75= 6.6 weeks or 6 weeks and 2/3 of a week. I'd round to 7 weeks.
75(x)=500 X= weeks needed.
75x=500 if you divide 500 by 75
x=20/3 or 6.6
Question 11 (1 point)
(03.03 LC)
Look at triangle ABC.
y
A (4,5)
4 3
2
C (4.2)
1
5 -4 -3 -2 -1 0
1 2 3 4 5
-1
-2.
-3
-5
What is the length of side AB of the triangle? (1 point),
a
Oь 3 3
6
Answer:
3
3 ok im
Step-by-step explanation:
Please help with this question; I need to prove to my parents I am not as much of a disappointment to them as they think I am.
Answer:
ΔABD ≅ ΔCBD by SAS Congruence Postulate (Option C)
Step-by-step explanation:
In ΔABD & ΔCBD ,
1) AD = CD = 15 units
2) ∠ADB = ∠CDB (∵ BD is angle bisector)
3) BD = BD (common side)
∴ ΔABD ≅ ΔCBD by SAS congruence postulate.
Answer:
Triangles ABD and CBD are congruent by SAS.
Step-by-step explanation:
Sides AD and CD are congruent since they both measure 15.
Angles ADB and CDB are congruent because of the angle bisector.
Side DB is congruent to itself.
By SAS, triangles ABD and CBD are congruent.
Answer: Triangles ABD and CBD are congruent by SAS.