Answers
Answer:
k = 5
Step-by-step explanation:
The formula for coefficient of proportionality is y = kx.
In the given problem, the Area of a rectangle corresponds to "y" in the constant of proportionality formula, and "x" is still the same. Since the formula for the area of a rectangle is: A = L × W, then:
A = y
L = k
W = x
y = kx is the same as A = LW or A = L × W
Thus, we're looking for the value for k, which corresponds to the length (L) (which has a constant value).
Below are the calculations for the missing values in the table:
We'll start with x = 0.14, and A = 0.7 since we're given the values for them. We could plug these values into the formula for the Area of a rectangle to find the constant value of the length (L):
A = L * W
0.7 = L * 0.14
Divide both sides by 0.14 to isolate L:
0.7/0.14 = (L * 0.14)/0.14
5 = L ←← Keep in mind, this is the coefficient of proportionality.
x = 3.1:
A = L * W
A = 5 * 3.1
A = 15.5
x = 2.5:
A = 5 * 2.5
A = 12.5
x = 1.2:
A = 5 * 1.2
A = 6
x = 0.9:
A = 5 * 0.9
A = 4.5
Next, we're given the values for the Area, but we're missing the values for x. However, we already have the value for L = 5. We could still follow the same process by plugging in the values into the formula:
A = 0.3:
A = L * W
0.3 = 5 * W
Divide both sides by 5 to solve for W:
[tex]\frac{0.3}{5} = \frac{5 * W}{5}[/tex]
0.06 = W
A = 0.1:
A = L * W
0.1 = 5 * W
Divide both sides by 5 to solve for W:
[tex]\frac{0.1}{5} = \frac{5 * W}{5}[/tex]
0.02 = W
Therefore, k = 5.
Related Questions
The perimeter of a rectangular field is 60 meters. Its area is 200 square meters. Find its dimensions.
Answers
Answer:
20 m by 10 m
Step-by-step explanation:
let w be width and l be length , then
2(l + w) = 60 ( divide both sides by 2 )
l + w = 30 ( subtract w from both sides )
l = 30 - w → (1)
lw = 200 → (2)
Substitute l = 30 - w into (2)
w(30 - w) = 200 ← distribute parenthesis on left side
30w - w² = 200 ( subtract 200 from both sides )
30w - w² - 200 = 0 ( multiply through by - 1 )
w² - 30w + 200 = 0 ← in standard form
(w - 10)(w - 20) = 0 ← in factored form
Equate each factor to zero and solve for w
w - 10 = 0 ⇒ w = 10
w - 20 = 0 ⇒ w = 20
Substitute these values into (1)
l = 30 - 10 = 20
l = 30 - 20 = 10
dimensions of field is 20 m by 10 m
Answer:
THIS IS THE REPRENTATION :I(LENGTH ),W(WIDTH)
2IW= 200
I,II USE THE SUBSTITUTION METHOD SINCE :I=30-W WE CAN SUBSTITUTE THE LENGTH TO 30
-W TO IW=200
(30-W)W=200
W2 + 30W=200---------------TRANSPOSE -w2
+30w
w2-30w +200 = 0------------------- USE FACTORING
(W-20)(w-10 =0----------------- THEN EQUATE EACH FACTOR TO ZERO
W- 20=0 W-10 =0
W=20 W=10
THEN SUBSTITUTE THE VALUE OF w TO ANY OF THE EQUATIONS TO GET THE VALUE OF I
Iw =200 Iw=200
I(20) =200 I(10)
I(20)/20= 200/20 I(10)/10
=200/10
I=10
SO the answer to the problem are: width = 20 then lenght =10 or width = 10 then lenght =20half of a number gives twelve
1/2x + 12 or x/2=12
Answers
Answer:
24
Step-by-step explanation:
1/2(24) = 12
and/or
24/2 = 12
Is this what you wanted?
what is the answer to 10x+3x
Answers
Answer:
refer to the attachment
Step-by-step explanation:
hope that helps
Answer: 13x because you can combine them together because they both have the same variable.
If x 2 = x, then x = 1 true or false?
Answers
Answer:
False
Step-by-step explanation:
If x * 2 = x, and you use 1 as the insert for x, then you would be saying that 1 * 2 = 1, and that is incorrect.
Answer:
I assume the value is x² right from the qn.
With that
x² = x
if x = 1
then
1² = 1
hence the value is true.
please help i need to solve for c by setting up an equation and then solving the equation
Answers
Answer:
x = 63.34 degree
Step-by-step explanation:
2x-10 + x = 180 as al straight lines add up to 180 degrees
3x -10 = 180
+ 10 +10
3x = 190 add 10 to both sides as shown to cancel left side
x = 190/3
x = 63.33334 degree to 5 dp
x = 63.34 degree to 2 dp.
What is transversal?
Answers
Answer:
A transversal is a line that intersects two parallel lines .like shown in the diagram above hope it is helpful to you please follow give brainliest ✌❣❣For a two-days rental at the surf shop it cost $45 to rent a surfboard and $60 to rent a paddleboard on a certain weekend the surf shop rented 44 total surfboards and paddle boards and made $2265 how many paddle boards were rented
Answers
Answer:
Step-by-step explanation:
gg
Brownies sell for $.75
and cookies sell for $.40. If
Brady wants 3 brownies and 2
cookies. He brought $3. Does
Brady have enough money to
buy the treats? NO LINKS PLEASE
Answers
Answer:
No
Brady is 5 cents short
Step-by-step explanation:
.75x3=$2.25
.40x2=0.80
$2.25+0.80=$3.05
Answer:
No
Step-by-step explanation:
3 brownies = $.75 * 3 = $2.25
2 cookies = $.40 * 2 = $.80
$2.25 + $.80 = $3.05, which is over $3
He is 5 cents short.
Hope this helped!
(and taxes of course)
Evaluate: log(a³b²/c⁴) + log(bc³/a²) - log(a/c) = ?
Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
We have to evaluate the logarithm.
Given That:
[tex] \rm = \log \bigg( \dfrac{ {a}^{3} {b}^{2} }{ {c}^{4} } \bigg) + \log \bigg( \dfrac{b {c}^{3} }{ {a}^{2} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
We know that:
[tex] \rm\red\longmapsto \log(x) + \log(y) = \log(xy) [/tex]
[tex] \rm \red\longmapsto \log(x) - \log(y) = \log \bigg( \dfrac{x}{y} \bigg) [/tex]
Therefore, we get:
[tex] \rm = \log \bigg( \dfrac{ {a}^{3} {b}^{2} }{ {c}^{4} } \times \dfrac{b {c}^{3} }{ {a}^{2} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{ {a}^{3 - 2} {b}^{2 + 1} }{ {c}^{4 - 3} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \div \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \times \dfrac{c}{a} \bigg)[/tex]
[tex] \rm = \log( {b}^{3})[/tex]
As we know that:
[tex]\rm \red\longmapsto \log( {x}^{n}) = n \log(x)[/tex]
Therefore, we get:
[tex] \rm = 3\log(b)[/tex]
(-9+5) = (12 – 10)
help pls
Answers
Answer:
-4 = 2
Step-by-step explanation:
Answer:
-4 = 2
Step-by-step explanation:
write the equation of the line that passes through the points (8, 2) and (0, 6)
Answers
Answer:
Step-by-step explanation:
m = (y2 - y1)/(x2-x1)
m = (6-2)/(0-8)
m = 4/-8
m = -1/2
y = mx + b
(2) = (-1/2)(8) + b
2 = -4 + b
b = 6
equation of the line is:
y = (-1/2)x + 6
PLEASE ANSWER BRSINLEST BRAINLEST ANSWER NOW PLEASE DUE!
Stacy likes to do aerobics 10 hours a week to stay in shape. She tracks the amount of time she does aerobics each week relative to her goal.
The table shows the data for the last five weeks.
Week 1 2 3 4 5
Aerobics time (hours) 2.8 −2 1 3/4 0 −3
What is the average aerobics time per week for Stacy relative to her goal number of hours?
Drag a value to the box to complete the statement.
PLease explain it too if you can
Answers
Answer:
-0.09
Step-by-step explanation:
20 POINTS
Look at the figure. How can you prove AABD and AACD are congruent?
is it
A)
B)
C)
Answers
I beileve the anwser is A
how do you do this math problem 3(x-2)=9
Answers
Answer:
x=5
Step-by-step explanation:
3(x-2)=9
3x-6=9
3x=9+6
=15
x=15÷3
=5
Distribute the 3
3x-6=9
-6 -6
3x=3
X=1
What is the value of x?
(The diagram)..
Answers
10
Step-by-step explanation:
x + 5 = 2x - 5
x + 5 - x = 2x - 5 - x
5 = x - 5
5 + 5 = x
10 = x
Answer:
The value of X is 10
Step-by-step explanation:
X+5=2x-5(corresponding sides of an angle)
5+5=2x-x
10=x
So,x=10
graph this line using the slope and y intercept: y=x
Answers
Answer:
done.
Step-by-step explanation:
yeah-ya..... right?
Identify two statements that contradict each other.
I. ZM is an obtuse angle.
II. m ZM +mZP= 90
III. 180 – mZM = 25
IV. mZP= 120
Answers
If ZM is an obtuse angle (greater than 90), then ZM and ZP will not add up to 90.
If ZP is 120, then ZM and ZP will not add up to 90.
There are multiple contradicting statements within this problem, as noted above.
Hope this helps!
Options A and B are two contradict statements.
The four statement are given, we need to find the two contradict statements.
What is an obtuse angle?The definition of an obtuse angle in geometry states that 'an angle whose measure is greater than 90° and less than 180° is called an obtuse angle.
Here, m∠M is an obtuse angle and m∠M +m∠P= 90° are two contradict statements
Since, in m∠M +m∠P= 90° two angles adds up to 90°, so m∠M can not be obtuse angle.
Therefore, options A and B are two contradict statements.
Learn more about an obtuse angle here:
https://brainly.com/question/4022946.
#SPJ2
Consider all rectangles with an area of 200m^2. Let x be the length of one side of such a rectangle. Find the dimensions of a rectangle whose perimeter is 70m.
Answers
Answer: Answer in Photo
pls help me ill give brainliest :)
Answers
plsss someone help i will give brainlyest
i need help with the photo
Answers
Answer: (n^6 j^6)/(8h^5)
Step-by-step explanation:
The k term disappears (k^5 * k^-5) = 1j^-6 moves to the top as j^6(h^-2)/((h^-6)*(h^3)) = 1/h^51/(2*2*2) = 1/8Therefore: n^6*j^6/8h^5
Plzzzzzz help
Use the graph to answer the questions.
At what elevation did Julio begin?
At what elevation did Kathy begin?
Elevation (miles)
Who made it to 8 miles first?
Who experienced a greater elevation change?
Answers
Kathy began at and elevation of 0 miles.
Kathy made it to 8 miles first.
Kathy experienced a greater elevation change.
Ten percent of the cost of a swimming pool is $430. How much does the swimming pool cost?
Answers
Can someone help me? This is soo hard
Answers
Answer:
m∠ ACB = 60°
Step-by-step explanation:
If AB║CD if m∠
kelsey withdraws $25 per week from her bank account. Each week, Kris deposits $15 of his allowance and $20 earned from dog walking each week into his bank account. After how many weeks will they have the same amount of money
Answers
Answer:
Step-by-step explanation:
please help me I need this done
Answers
The following expression can be solved in 5 steps using the rules of order of operations. Write the step by step solution in the spaces provided below: [(-2)²×3]÷[(-9)-5+2]Note: You may copy the question from the previous step and replace the operation performed with the result. For example, given the question 4²-6×2, you would copy the question and replace the index term in step 1: 16-6×2. For step 2, you copy the expression from step 1 and replace the product to get: 16-12. In step 3, you only have one operation left to perform so you just need to write the final answer: 4
Answers
Answer:
Step-by-step explanation:
[(-2)²×3]÷[(-9)-5+2]
=(4*3)/[(-9)-5+2]
=12/(-12)
=-1
If 8% of a number equals 30, find 40% of that number.
Answers
If 8% of a number equals 30, 40% of that number 150.
The percentage of a given number is the fraction of that number divided by 100.
Let assume that the unknown number is (a).
So, 8% of a = 30.i.e.
0.08a = 30Making (a) the subject of the formula now;
a = 30/0.08a = 375Now, we are meant to determine the 40% of that unknown number (a)
Since (a) has been determined to be 375.
Then, 40% of 375 is calculated as:
[tex]\mathbf{=\dfrac{40}{100} \times 375}[/tex]= 150Learn more about percentage here:
https://brainly.com/question/2155156?referrer=searchResults
Given the function g(x) = x2 + 5x + 1, determine the average rate of change of
the function over the interval -5 < x < 4.
Answers
Step-by-step explanation:
the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
so,
(g(4) - g(-5)) / (4 - -5)
g(4) = 4² + 5×4 + 1 = 37
g(-5) = (-5)² + 5×-5 + 1 = 25 - 25 + 1 = 1
4 - -5 = 4 + 5 = 9
(37 - 1)/9 = 36/9 = 4
the average change rate in that interval is 4 (or fully 4/1).
what is the sum of 3 - 2i and -5 + 6i?
Answers
Answer: -2 + 4i
Step-by-step explanation: I'm pretty sure you can't get the sum, but you can simplify the problem. All you need to do is combine like terms. -2i and 6i = 4i. 3 - 5 = -2.
The graph of linear function f passes through the point (1, -8) and has a slope of 2. What is the zero of f?
A. -2
B. -5
C. 2
D. 5
Please help me
Answers
Answer:
5
Step-by-step explanation:
Answer:D-5
Step-by-step explanation: