Answer:
k=3
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
In this problem we have
[tex]y=3x[/tex]
therefore
The constant of proportionality is k=3
Answer:
k=3
Step-by-step explanation:
i went on knan and it worked
William works at a nearby electronics store. He makes a commission of 6% percent on everything he sells. If he sells a computer for $764.00, how much money does William make in commission?
Commission earned by William is $ 45.84
Solution:Given that,
William makes a commission of 6% percent on everything he sells
He sells a computer for $764.00
To find: Commission amount of William
Given that he makes a commission of 6 % on everything he sells. So he has received a commission of 6 % of $ 764.00
Commission amount of William = 6 % of $ 764.00
a % of b can be written in fraction as [tex]\frac{a}{100} \times b[/tex]
[tex]6 \% \text { of } 764=\frac{6}{100} \times 764=0.06 \times 764=45.84[/tex]
Thus commission earned by William is $ 45.84
A boat traveled 504 miles downstream and back. The trip downstream took 14 hours. The trip back took 21 hours. What is the speed of the boat in still water? What is the speed of the current?
Answer:
The speed of the boat in still water is 30 mph, and the speed of the current is 6 mph.
Step-by-step explanation:
Let's say b is the speed of the boat in still water, and c is the speed of the current.
Distance = rate × time
Going downstream:
504 = (b + c) × 14
36 = b + c
Going upstream:
504 = (b − c) × 21
24 = b − c
Two equations, two variables. Solve with substitution or elimination. To use elimination, add the equations together.
60 = 2b
b = 30
Plug into any equation to find c.
36 = b + c
36 = 30 + c
c = 6
The speed of the boat in still water is 30 mph, and the speed of the current is 6 mph.
The speed of the boat in still water will be 30 miles per hour and the speed of the current will be 6 miles per hour.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Let the speed of the boat in still water be x and the speed of water be y.
A boat traveled 504 miles downstream and back. The trip downstream took 14 hours. Then the equation will be
x + y = 504 / 14
x + y = 36 ...1
The trip back took 21 hours. Then the equation will be
x - y = 504 / 21
x - y = 24 ...2
Add equations 1 and 2, then the value of x will be
2x = 36 + 24
2x = 60
x = 30 miles per hour
Then the value of y will be
30 - y = 24
y = 6 miles per hour
The speed of the boat in still water will be 30 miles per hour and the speed of the current will be 6 miles per hour.
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De tanque lleno de agua,se utilizan las dos quintas partes y luego los tres cuartos del resto. Si aún quedan 240 litros ¿cuántos litros tiene?
Answer:
120.35
Step-by-step explanation:
De tanque lleno de agua,se utilizan las dos quintas partes y luego los tres cuartos del resto. Si aún quedan 240 litros ¿cuántos litros tiene?
2/5- 3/4=-0.35
tienes 120 galones más el 0.35
120+0.35=120.35
que tengas un buen día!!!!!!!!!!!!!
The initial amount of water in the tank was 1600 liters.
Let's denote the initial amount of water in the tank as W.
First, two-fifths of the water are used, leaving [tex]\(\frac{3}{5}\)[/tex] of the water remaining.
[tex]\[\text{Remaining amount} = \frac{3}{5} \times W\][/tex]
Then, three-quarters of the remaining water are used, leaving \(\frac{1}{4}\) of the remaining water.
[tex]\[\text{Final amount} = \frac{1}{4} \times \left(\frac{3}{5} \times W\right)\][/tex]
According to the problem, the final amount is 240 liters:
[tex]\[\frac{1}{4} \times \left(\frac{3}{5} \times W\right) = 240\][/tex]
Now, solve for W:
[tex]\[\frac{3}{5} \times W = 240 \times 4\][/tex]
[tex]\[\frac{3}{5} \times W = 960\][/tex]
[tex]\[W = \frac{960 \times 5}{3}\][/tex]
[tex]\[W = 1600\][/tex]
So, the initial amount of water in the tank was 1600 liters.
All of the following must be true statements except:
m∠RPS = m ∠WPR
m∠RPS + m∠ SPU= 180
m∠ SPT = m∠ UPT
We need to find the false statement.
The first one is true (m<RPS=m<WPR because RU⊥SW).
The second statement is true because the two angles make a linear pair and are supplementary.
The third one is false because we only know that the angle pair is complimentary. Their measures are not equal.
answer: m∠SPT=m∠UPT
what is the value of x if Lines 1 and 2 are parallel? LINE 1: (-2,5) and (0,0) LINE 2: (x,12) and (-3,2)
Answer:
x=-7
Step-by-step explanation:
The value of x if, Lines 1 and 2 are parallel, LINE 1: (-2,5) and (0,0) LINE 2: (x,12) and (-3,2) is -7.
What is line?An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.
Given:
Line 1 and line 2 are parallel,
The coordinates of lines are given as,
LINE 1: (-2, 5) and (0, 0) LINE 2: (x, 12) and (-3, 2)
As we know that the slope of the parallel lines is equal,
Calculate the slope of Line 1 as shown below,
Slope = 0 - 5 / 0 - (-2)
Slope = -5 / 2
Thus, for the second line,
The slope of Line 2 = (2 - 12) / (-3 - x)
-5 / 2 = -10 / -3 - x
-5(-3 - x) = -20
15 + 5x = -20
5x = -20 - 15
x = -35 / 5
x = -7
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Also for:
P. Q. R.
F. T. T
F. T. F
F. F. T
F. F. F
Answer:
See below table
Step-by-step explanation:
[tex]\begin{array}{cccccccc}p&q&r&\sim q&\sim q\rightarrow p&r\vee(\sim q\rightarrow p)&\sim p&[r\vee (\sim q\rightarrow p)]\rightarrow \sim p\\ \\ \\ \\T&T&T&F&T&T&F&F\\ \\T$&T&F&F&T&T&F&F\\ \\T&F&T&T&T&T&F&F\\ \\T&F&F&T&T&T&F&F\\ \\ \\ \\F&T&T&F&T&T&T&T\\ \\F&T&F&F&T&T&T&T\\ \\F&F&T&T&F&T&T&T\\ \\F&F&F&T&F&F&T&T\end{array}[/tex]
Answer:
?
Step-by-step explanation:
6.
(06.02)
Which of these is the algebraic expression for "some number to the power of 4?" (3 points)
x4
4x
4x
x + 4
Answer:
its definitely A, because it is some number to the power of 4
Step-by-step explanation:
3. Convert 123 ounces to pounds.
Answer:
7.6875
Step-by-step explanation:
Which of the following is the best definition of a circle?
A. The collection of all points in a plane that are the same distance
from a given point
B. A plane figure similar to a hexagon
C. The collection of all points in a plane that are the same distance
from a given line
D. A polygon with curved sides
Answer:
The answer is A
Step-by-step explanation:
The answer is A because a circle is a circle and it doesn't have any sides and it's a bunch of points that are the same distance from each other creating a circle like object.
Hope this helps :))
Option A is the correct answer that is a collection of all points in a plane that are the same distance from a given point.
What is a circle?The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the outer trace.
The circle is also defined as the collection of all points in a plane that are the same distance from a given point.
Therefore Option A is the correct answer that is a collection of all points in a plane that are the same distance from a given point.
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Which line is perpendicular to a line that has a slope
of - 1/3
line MN
line AB
line EF
line JK
For this case we have to by definition, if two lines are perpendicular then the product of its slopes is -1, that is:
[tex]m_ {1} * m_ {2} = - 1[/tex]
So, if we have the slope [tex]m_ {1} = - \frac {1} {3}[/tex]
A perpendicular line will have a slope m_ {2}:
[tex]m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {- \frac {1} {3}}\\m_ {2} = 3[/tex]
Thus, the perpendicular line will have slope [tex]m_ {2} = 3[/tex]
Answer:
The perpendicular line will have slope [tex]m_ {2} = 3[/tex]
Answer: C. Line EF.
Step-by-step explanation: Correct on edge.
Which statements accurately describe the function f(x) = 3(sqrt18)^x? Select three options.
Answer:
options 1, 3 and 5
=============================================
Step-by-step explanation:
The given function is [tex]f(x) = 3(\sqrt{18} )^x[/tex]
The given function is an exponential function and the graph of the function is as shown in the attached figure.
As shown in the figure:
The domain of the function is all the real numbers ⇒ R
The range of function ⇒ y > 0
The initial value will be at x = 0 ⇒ y =3
The base of the function = [tex]\sqrt{18} =\sqrt{9*2} =\sqrt{3^2 * 2} = 3\sqrt{2}[/tex]
So, the correct options will be options 1, 3 and 5
A srtaight line l has the equation of 2y-6x=-8 what is the gradient of l
Answer:
gradient = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
Rearrange 2y - 6x = - 8 into this form
Add 6x to both sides
2y = 6x - 8 ( divide all terms by 2 )
y = 3x - 4 ← in slope- intercept form
with gradient m = 3
How would you write “The product of five and the sum of a number x and three is twelve” into an equation? please show work
A) 5+3x= 12
B) 5(x+3)= 12
C) 5x+3= 12
D) 5x+3=x
The right answer is Option B: 5(x+3)=12
Step-by-step explanation:
“The product of five and the sum of a number x and three is twelve”
First;
The sum of a number x and 3 = x+3
Product means multiplication,
Therefore,
Product of five and sum of a number x and three = 5(x+3)
is twelve means that the answer will be 12
5(x+3)=12
The right answer is Option B: 5(x+3)=12
Keywords: linear equation, addition
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Answer:
The right answer is Option B: 5(x+3)=12
Step-by-step explanation:
“The product of five and the sum of a number x and three is twelve”
First;
The sum of a number x and 3 = x+3
Product means multiplication,
Therefore,
Product of five and sum of a number x and three = 5(x+3)
is twelve means that the answer will be 12
5(x+3)=12
The right answer is Option B: 5(x+3)=12
Keywords: linear equation, addition
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Step-by-step explanation:
Is {-2, 1} a solution set to X squared take away 2X Takeaway three equals X take away one
Answer:
No! {-2, 1} is not a solution set to the given equation.
Step-by-step explanation:
The statement X squared take away 2X Takeaway three equals X take away one can be written in mathematical terms as follows:
X² - 2X - 3 = X - 1
⇒ X² - 2X - 3 - X + 1 =0
⇒ X² - 3X - 2 = 0
Now, substitute x= -2 and see if the equation is satisfied.
⇒ (-2)² -3(-2) - 2 = 4 + 6 - 2
= 8 ≠ 0
So, -2 is not a solution to the equation.
Now, check for x = 1.
⇒ (1)² - 3(1) - 2 = 1 - 3 - 2
= -4 ≠ 0
⇒ x = 1 is not a solution as well.
PLEASE HELP ANSWER THESE
Good evening ,
Answer:
1. t=44°
2. none is correct
3. V=12°
Step-by-step
look at the photo below for the details.
:)
(-0.5x-0.4)-8(0.75x-0.6)
Answer: -6.5x+4.4
Step-by-step explanation:
What is the period of the function y= 2 sin x?
Answer:
π
Step-by-step explanation:
Y= 2 sin(2X)
Analytically,
The Amplitude is 2, while the Period is 2π/2, same as π
Jolie sends between 22 and 23 text messages per day. Each text message costs $0.89. Suppose Jolie's cellular bill spans a period of 6 weeks. Which is a reasonable amount that she would spend on text messages on one cellular bill? A. $135 B. $9,108 C. $945 D. $158
Answer:
C. $945
Step-by-step explanation:
Cost of 1 cellular bill = (number of text msgs per day) x (cost per text msg) x (number of days in billing period)
in this case, it is given that :
cost per text msg = $0.89
number of texts per day = 22 or 23
billing cycle = 6 weeks = 6 x 7 = 42 days
hence,
Cost of 1 cellular bill = (22 or 23) x $0.89 x 42 days
if she sends 22 messages,
Cost of 1 cellular bill = (22) x $0.89 x 42 days= $822.36
if she sends 23 messages,
Cost of 1 cellular bill = (2) x $0.89 x 42 days= $859.74
if we compare thse 2 numbers that we have calculated with the choices, the closest match would be C. $945. The rest are just too far away in comparison.
in a survey 46 people which was 20% of those surveyed chose red as their favorite color how many people are surveyed
Answer:230
Step-by-step explanation:
To get to 100% you need to do 20% 5 times so if 46 people is 20% 46x5 will give you 100% of people surveyed
5. Gene made a two-digit code. The first
digit is odd. How many possible codes
dan he choose from?
VA 5
C 50
B 15
b 100
Answer:
50 possible codes.
Step-by-step explanation:
The first digit must be 1, 3, 5, 7 or 9. - 5 possibilities.
The second digit is one of the numbers from 0 to 9, - 10 possibilities.
So the number of possible codes = 5 * 10 = 50.
A rectangle has a height of 3b^2 and a width of 4b^4+2b-6.
Express the area of the entire rectangle.
Answer:
see the attach file
Step-by-step explanation:
if you have any question then reply me again
The area of the rectangle will be 12b⁶ + 6b³ – 18b².
What is the area of the rectangle?Let H be the height and W be the width of the rectangle. The area of the rectangle is the product of height and width.
Then the area of the rectangle will be
Area of the rectangle = H × W square units
A rectangle has a height of 3b² and a width of 4b⁴ + 2b – 6.
Then the area of the rectangle will be
Substitute H = 3b² and W = 4b⁴ + 2b – 6. Then the area of the rectangle will be
Area of the rectangle = 3b² x (4b⁴ + 2b – 6)
Simplify the equation, we have
Area of the rectangle = 3b² · 4b⁴ + 3b² · 2b – 3b² · 6
Area of the rectangle = 12b⁶ + 6b³ – 18b²
Thus, the area of the rectangle will be 12b⁶ + 6b³ – 18b².
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James is 46 years old. This is uncle John's age divided by 2, plus 14 years
By what percent will a fraction decrease if its numerator is decreased by 50% and its denominator is decreased by 25%?
Answer:
33 2/3 % (33.33%)
Step-by-step explanation:
Fraction = x/y
After decrease: (x - .5) / (y-.25)
Simplify : .5x / .75y
= 2/3
1 - 2/3 = 1/3 = .33 = 33 1/3 %
Hope this helps
Tiger cubs are around 2 years old when they leave their mothers. In the wild, tigers live about 11 years. About what percent of their lives do tigers spend with their mothers
Answer:
18.18%
Step-by-step explanation:
Cross-multiply
11 years ------------ 100% of life
2 years ------------- x% of life
11/2 = 100/x ===> 11x = 2*100 ===> 11x = 200 ===> x = 200/11 ===> x = 18.18%
What is the slope of (-9,9) (-2,1)
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slope = difference in y/difference in x
Substitute values in:
slope = (1 - 9)/(-2- (-9)
slope = -7/7
slope = -1
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Find the first five terms of the recursive sequence.
The first five terms of sequence is 4.5, -27, 162, -972, 5832
Solution:
Given that we have to find first five terms of recursive sequence
Given sequence is:
[tex]a_n = -6a_{n - 1}[/tex]
To find first five terms, substitute n = 2, 3, 4, 5
First term is given = [tex]a_1[/tex] = 4.5
Find second term:
Substitute n = 2 in given sequence
[tex]a_2 = -6a_{2 - 1}\\\\a_2 = -6a_1\\\\a_2 = -6(4.5) = -27[/tex]
Thus second term of given sequence is -27
Find third term:
Substitute n = 3 in given sequence
[tex]a_3 = -6a_{3-1}\\\\a_3 = -6a_2\\\\a_3 = -6(-27) = 162[/tex]
Thus third term of given sequence is 162
Find fourth term:
Substitute n = 4 in given sequence
[tex]a_4 = -6a_{4-1}\\\\a_4 = -6a_3\\\\a_4 = -6(162) = -972[/tex]
Thus fourth term of given sequence is -972
Find fifth term:
Substitute n = 5 in given sequence
[tex]a_5 = -6a_{5-1}\\\\a_5 = -6a_4\\\\a_5 = -6(-972) = 5832[/tex]
Thus the first five terms of sequence is 4.5, -27, 162, -972, 5832
how many solutions does the system have? 4x-6y=-24 2x-3y=-6
Answer:
No Solution.
Step-by-step explanation:
4x-6y=-24
2x-3y=-6
-----------------
4x-6y=-24
-2(2x-3y)=-2(-6)
-------------------
4x-6y=-24
-4x+6y=12
----------------
0=-12
no solution
Answer:
I TRIED IT ON KHAN ITS NO SOULTIONS
Step-by-step explanation:
Tell whether each equation has one, zero, or infinitely many solutions.
5(x - 3) +6= 5x - 9
Answer:
Infinitely many
Step-by-step explanation:
8-4y+(-2y)+5 solve this expression please if anyone can help me
Answer:
−6y+13
Step-by-step explanation:
jsjsdjidedhue
What is 3/8 x 4 3/6 x 4
Final answer:
To solve both 3/8 x 4 and 3/6 x 4, we multiply the numerator by 4 and simplify the resulting fraction if necessary, resulting in 1.5 for the first expression and 2 for the second.
Explanation:
To solve the problem 3/8 x 4 and 3/6 x 4, we need to perform multiplication of a fraction by a whole number. For the first part, we multiply the numerator (3) by the whole number (4) and keep the denominator (8) to get 12/8, which simplifies to 1 1/2 or 1.5. For the second part, we simplify the fraction 3/6 to 1/2 since both the numerator and denominator can be divided by 3. Then, again, we multiply the numerator (1) by the whole number (4) and keep the denominator (2), resulting in 4/2, which simplifies to 2.