First, you must subtract.
$20 - $5.03 = $14.97This is because he recieved $5.03 in exchange.
Next, you must divide by 3.
$14.97 / 3 = $4.99
Therefore each pair of socks costs $4.99.
Hope this helps!
What is an equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27?
Answer: y=3x+3
Step-by-step explanation:
The equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
The point (1, 6) and is perpendicular to the line x + 3y = 27
The slope of the line x + 3y = 27
m = -1/3
The slope of the line perpendicular to the line x + 3y = 27:
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
M = 3
The equation of the line:
y - 6 = 3(x - 1)
y = 3x + 3
Thus, the equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3
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Which of the following can be concluded given Z1 a ZT?
4
3/2
5
a
An athlete us jumping. However, everytime she jumps she gets a bit more tired, and every jump goes 1/2 as far as her prior jump. Now, for her very first jump, she goes 1/2 of a foot. On her second jump, she goes 1/4 of a foot, and so on and so forth. How many jumps does it take to get to travel 1 foot
Answer:
She can never travel a distance of 1 foot for the given condition.
Step-by-step explanation:
In every jump, she goes 1/2 as far as her prior jump.
In the 1st jump, she covered a distance, d_1= \frac 1 2 foot.
The distance covered in the 2nd jump
[tex]d_2= \frac 12 \times d_1 = = \frac 12 \times \frac 12= \frac 1 4[/tex] (given)
So, the distanve covered in the 3rd jump
[tex]=\frac 12 \times d_2= \left(\frac 1 2\right )^2\times \frac 1 2= \left(\frac 1 2\right)^{3-1}\times \frac 1 2.[/tex]
Similarly, the distance covered in the [tex]r^{th}[/tex] jump
[tex]=\left(\frac 12 \right)^{r-1}\times \frac 1 2.[/tex]
Assuming she requires [tex]n[/tex] jumps to travel 1 foot of distance.
So, the sum of all the distances covered in n jumps = 1 foot
[tex]\Rightarrow \frac 1 2 + \frac 1 4 + \cdots + \left(\frac 12 \right)^{r-1}\times \frac 1 2+\cdots+ \left(\frac 12 \right)^{n-1}\times \frac 1 2=1[/tex]
[tex]\Rightarrow \frac 1 2 + \left(\frac 12 \right)^2 + \cdots + \left(\frac 12 \right)^{r}+\cdots+ \left(\frac 12 \right)^{n}=1[/tex]
This a geometric progression, G.P., of [tex]n[/tex] terms having common ration, r= 1/2 and the first term [tex]a_1= 1/2[/tex].
As sum of all the n terms of G.P [tex]=\frac {a_1(r^n-1)}{r-1}[/tex],
[tex]\Rightarrow \frac {1/2((1/2)^n-1)}{1/2-1}=1[/tex]
[tex]\Rightarrow - \left(\left(\frac 1 2\right)^n-1\right)=1[/tex]
[tex]\Rightarrow \left(\frac 1 2\right)^n-1=-1[/tex]
[tex]\Rightarrow \left(\frac 1 2\right)^n=-1+1=0[/tex]
[tex]\Rightarrow \frac {1}{2^n}=0[/tex]
This is only possible, mathematically, when [tex]n\rightarrow \infty[/tex], But in real life situation reaching infinity is not possible.
Hence, she can never travel a distance of 1 foot for the given condition.
helppp plsssssssssssssssssssss
Answer:
6b-8=58
b=11
Step-by-step explanation:
Tina recorded the number of calories she burned during a bike ride. The graph shows Tina’s calories burned, y, after x hours. If Tina rode her bike at a constant rate for the first three hours, what was Tina’s average calories burned, in calories per hour, between hour 0 and hour 3?
Answer:
the answer is B because 2x3 is ainzqwndwqncjnjqanc2ejn2qncb
Step-by-step explanation:
400 per hour was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.
Given that,
Tina kept track of the calories she expended while riding her bike. After x hours, the graph displays Tina's calories burned, y.
We have to find what was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.
What is a graph?
A graph is a visual representation or diagram that displays facts or values in an organized manner in mathematics. The relationships between two or more objects are often shown by the points on a graph.
Therefore, 400 per hour was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.
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Explain Null Factor Law
Answer:
If the product of any two numbers is zero,then one or both of the numbers is zero.That is,if ab=0, then a=0 or b=0 (which includes the possibility that a=b=0).
Mike has $800 in his bank account. Over the last 5 years, the amount in his account has went down to $300. What integer represents the average decrease in value PER YEAR?
Answer:
The average decrease each year is 60 because 300 divided by 5 is 60.
HOPE THIS HELPS
What is the missing term in the factorization? 1872 -- 32 2(3x+?) (3x – 4) Enter your answer in the box.
Answer:
4
Step-by-step explanation:
..........................
The lengths of salamanders have a normal distribution with mean 15cm, and standard deviation 2cm. What is the probability a salamander has length between 12.2cm and 16.5cm
Answer:
The probability a salamander has a length between 12.2cm and 16.5cm is 0.6930
Step-by-step explanation:
We start by finding the z-score of each
Mathematically;
z-score = (x - mean)/SD
for 12.2 cm
z-score = (12.2 - 15)/2 = -2.8/2 = -1.4
For 16.5 cm
z-score = (16.5 -15)/2 = 1.5/2 = 0.75
So the probability we want to calculate is;
P( -1.4 < z < 0.75)
we can calculate this using the normal distribution table
Mathematically;
P( -1.4 < z < 0.75) = P( z < 0.75) - P( z < -1.4)
= 0.2263 + 0.30738
= 0.69262
help please !!! show work
Answer:
y = [tex]\frac{2w}{x^{2}}[/tex]
Step-by-step explanation:
To solve an equation for one of its variable do that
Underline the variableSeparate it on one side and the other terms on the other sideMake its coefficient equal 1Let us use these steps to solve our question
∵ w = [tex]\frac{1}{2}[/tex] x²y
→ Underline y
∴ w = [tex]\frac{1}{2}[/tex] x²y
→ Multiply both sides by 2 to cancel the denominator 2
∵ 2 × w = 2 × [tex]\frac{1}{2}[/tex] x²y
∴ 2w = x²y
→ Divide both sides by x² to move it to the left side
∵ [tex]\frac{2w}{x^{2}}[/tex] = [tex]\frac{x^{2}y}{x^{2}}[/tex]
∴ [tex]\frac{2w}{x^{2}}[/tex] = y
→ Switch the two sides
∴ y = [tex]\frac{2w}{x^{2}}[/tex]
find the x intercept and y intercept of
3x - 9y =18
Answer:
y-intercept: (0, -2)
x-intercept: (6, 0)
Step-by-step explanation:
The y-intercept is the value of y when x =0. Substitute 0 for x to find the y-intercept.
[tex]3x - 9y = 18[/tex]
[tex]3(0) - 9y = 18[/tex]
[tex] - 9y = 18[/tex]
[tex]y = - 2[/tex]
When x = 0, y = - 2 so the y-intercept is (0, - 2).
The x-intercept is the value of x when y = 0. Substitute 0 for y in the equation to find the x-intercept.
[tex]3x - 9y = 18[/tex]
[tex]3x - 9(0) = 18[/tex]
[tex]3x = 18[/tex]
[tex]x = 6[/tex]
When y = 0, x = 6 so the x-intercept is (6, 0).
Line segment EF is shown on a coordinate grid: A coordinate plane is shown. Line segment EF has endpoints negative 3 comma 2 and negative 1 comma 2. The line segment is rotated 180 degrees counterclockwise about the origin to form E'F'. Which statement describes E'F'? E'F' is perpendicular to EF. E'F' and EF are equal in length. E'F' is half the length of EF. E'F' is greater than twice the length of EF.
Answer:
The answer is " E'F' and EF are equal in length".
Step-by-step explanation:
By rotating that through some degree, a revolution is some kind of rigid transformation, which creates an image of the very same shape and size. There will be two main properties of the rotation:
Preservation of rotating scale (including sides and angles). The lines connecting the rotation center to the pre-image and the corresponding image point are of equal length.In each line, the segment is rotated counterclockwise 180 degrees around the origin to form E'F, that's why the above given choice is correct.
Answer:
The answer is " E'F' and EF are equal in length
Step-by-step explanation:
What exponent should you use to represent the power of 10 below?
10,000,000 = 10?
Answer:
10^6
Step-by-step explanation:
Answer:
[tex]10 {}^{6 } = 10000000[/tex]
It helps you ☺️☺️Thank you ☺️☺️
Solve 5(x+9) - 4 = 71 for x
Answer:
x = 6
Step-by-step explanation:
5 times x is 5x, 5 times 9 is 45; 5x+49-4; 49 minus 4 is 45; 5x+45 = 75; now minus 45 from each side so it would now be 5x = 30; now divide; 30/5 = 6.
Suppose a parabola has vertex (6, -3) and also passes through the point (8,5).
Write the equation of the parabola in vertex form.
(Answers are given in photo)
10 points!!! Please help.
Answer: D. y = 2(x - 6)^2 - 3
Step-by-step explanation: see attachment. i hope this helped :)
The equation of the parabola that has vertex (6, -3) and also passes through the point (8,5) is [tex]y = 2(x - 6)^2-3\\[/tex]
The vertex form of the equation of a parabola is:
[tex]y = a(x - h)^2 + k[/tex]
where the vertex = (h, k)
The given vertex, (h, k) = (6, -3)
The line passes through the (8, 5)
x = 8, y = 5
Substitute x = 8, y = 5, h = 6, y = -3 into the equation to solve for a
[tex]y = a(x - h)^2 + k[/tex]
[tex]5 = a(8 - 6)^2 + (-3)\\5 = a(2^2)-3\\4a = 5 + 3\\4a = 8\\a = \frac{8}{4} \\a = 2[/tex]
Substitute a = 2, h = 6, k = -3 into [tex]y = a(x - h)^2 + k[/tex]
[tex]y = 2(x - 6)^2-3\\[/tex]
The equation of the parabola that has vertex (6, -3) and also passes through the point (8,5) is [tex]y = 2(x - 6)^2-3\\[/tex]
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I have attached a screenshot
Answer:
Step-by-step explanation:
x2 + 2x - 7 + 11x2 - 5x - 1
Solving like terms
12x2 - 3x - 8
You need to find three numbers that come in quick succession in the order of numbers (ex. 1, 2 and 3) and which
in total gives 30. What are the numbers?
equation
Answer:
set middle number=x
then left side number=x-1
and right side number=x+1
(x-1)+x+(x+1)＝30
3x=30
x=10
x-1=9
x+1=11
numbers are 9,10,11
Marietta was given a raise of $0.25 per hour, which gave her a new wage of $10.75 per hour. Enter and solve an equation to determine Marietta's hourly wage, x, before the raise. Complete the explanation to show that your answer is reasonable.
Answer:
10.50$
Step-by-step explanation:
Can somebody please help?
Answer: C
Step-by-step explanation: I could tell just by looking at the first two, they’re negative
Carrie needs to determine the number of tiles that will fit in each row along the back of the shower. If the back of the shower measures 6 feet long and each tile is Two-thirds of a foot long, which equation shows how to determine the number of tiles that will fit in each row?
Answer: A6/ 2/3= 9
Step-by-step explanation:
We know that one tile is 2/3 ft long and we want to cover 6 ft (which is the given measure of the back of the shower).
To know the number of tiles needed, we will simply do cross multiplication as follows:
1 tile ...............> 2/3 ft
?? tiles ...........> 6 ft
Number of tiles = (6*1) / (2/3)
Number of tiles = 6 / (2/3)
Number of tiles = 9 tiles
Answer:
A). 6 ÷ 2/3 = 9
Step-by-step explanation:
PLEASE HELP
4. What are the parallel, perpendicular and diagonal cross sections for a cylinder, rectangular prism and rectangular pyramid?
Answer:
For a Cylinder It is a circle, For a rectangular prism it is a square rectangular pyramid a cross section is a rectangle
Step-by-step explanation:
I basically told you the answer so
Hope this helps :)
what would be the graph for y=2x+5
See attachment for math work and answer.
Answer:
See attached picture.
Step-by-step explanation:
We know that in slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line and [tex]b[/tex] represents the y-intercept. To start we would put a point on (0,5) to represent the y-intercept. Next, we know our slope is 2 so we would go up two and right one to get to our next point (2,6). We can then make a straight line between these to get our graph
Please help hurry!!!!! This is due in a couple of minutes!!!!
Answer:
200 in.
Step-by-step explanation:
1250/75=5000/300=50/3 simplification
50*12=600 conversion to inches
600/3=200 simplification
Help me solve this problem please
Answer:
6
Step-by-step explanation:
2(6) - 3(6) + 20 + 5(6) - 40 = 4 CORRECT
2(8) - 3(8) + 20 + 5(8) - 40 = 12 WRONG
2(16) - 3(16) + 20 + 5(16) - 40 = 44 WRONG
2(18) - 3(18) + 20 + 5(18) - 40 = 52 WRONG
Using the scale 1 cm : 5 meters, Tamara calculated the length of her old gym to be 45 meters and the width to be 20 meters.
Using a new scale, 1 cm : 10 meters, she found the length of the new gym to be 90 meters.
The width of the new gym is
meters.
The length and width of the new gym are
times the length and width of the old gym.
Answer:
1.The width of the new gym is 40
2.The length and width of the new gym are
times the length and width of the old gym 2
Answer:
The width of the new gym is 40 meters.
The length and width of the new gym are 2 times the length and width of the old gym.
Step-by-step explanation:
Write the slope intercept form of an equation for the line containing (0,-3) with slope -1.
Answer:
y=-x-3
Step-by-step explanation:
Formula (point slope): y-y1=m(x-x1)
y-(-3)=-1(x-0)
(distribute the -1)
y+3=-1x+0
(combine like terms)
y=-1x-3
what is the slope of a line perpendicular to the line whose equation is 9x+3y=-27
Answer:
y = (1/3)x - 27 <-- perpendicular line
Step-by-step explanation:
9x + 3y = (-27)
3x + y = (-27)
y = (-3x) - 27 <-- original line
y = (-3x) - 27 <-- original line
slope = (-3)
slope = (-3/1)
inverse = (1/-3)
negative inverse = (1/3)
y = (1/3)x - 27 <-- perpendicular line
PLEASE HELP, IM NOT SURE!!!
The scale on a map reads 2 inches = 5 miles. What is the actual distance
between two cities on the map that are 6.5 inches apart?*
O A. 2.6 miles
B. 13 miles
O C.32.5 miles
D. 16.25 miles
Answer:
Step-by-step explanation:
2 inches = 5 miles.
So if you divide both sides by 2,
1 inch = 2.5 miles
To find how many miles 6.5inches is equal to, multiply 2.5 by 6.5
6.5 inches = 2.5 x 6.5 = 16.25 miles
Carly, Brandon and Wyatt gather and shell walnuts for their grandfather. Carly gathers 3.5 pounds of walnuts. Brandon collects 3.75 pounds of walnuts and Wyatt collects 2 pounds. If they place all of the walnuts in one basket and each shells the same amount of walnuts, how many pounds will each person she
Answer: 3.083 pounds
Step-by-step explanation:
Amount of walnuts gathered by Carly = 3.5 pounds
Amount of walnuts gathered by Brandon = 3.75 pounds
Amount of walnuts gathered by Wyatt = 2 pounds
Total walnuts gathered = 3.5 + 3.75 + 2 = 9.25 pounds
Since they shared the walnuts equally, each person will get:
= 9.25pounds/3
= 3.083 pounds
Which expressions are equivalent to -6(b + 2) + 8?
Choose all answers that apply:
A -66 + 2 + 8
B - 66 - 4
C None of the above
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale