Answer: Procedure are given below :
Step-by-step explanation:
Since we have given that
Pay rate = $21.00
if he marked up by 78.7% , then
[tex]78.7\%\text{ of }21\\\\=\frac{78.7}{100}\times 21\\\\=16.527[/tex]
So, our pay rate becomes
[tex]\$21+\$16.527=\$37.527[/tex]
Now, he made a 10% profit,
[tex]10\%\text{ of }37.527\\\\=\frac{10}{100}\times 37.527\\\\=\$3.7527[/tex]
So, pay rate becomes
[tex]\$37.527+\$3.7527\\\\=\$41.2797[/tex]
which approximately $41.28
someone anyone help me???!!!!
Try this option (note, this is not the shortest way!), the additional elements are shown by green colour.
Answers: ∠1=∠2=50°; ∠3=82°
Answer this fast 50 POINTS
the answer would be 103 students
An Uber fare in Columbus is $3.50 for the first ½ mile and additional mileage charged at a rate of $0.30 for each additional 0.1 mile. You plan to give the driver a $2 tip. How many miles can you ride for $15? Please show or explain your calculations.
If we consider the first half mile to be charged at $0.30 per tenth also, that half-mile costs $1.50 and the charges amount to a fixed fee of $2.00 and a variable fee of $0.30 per tenth mile.
After you subtract the $2 tip and the fixed $2 fee from the trip budget amount, you have $11.00 you can spend on mileage charges. At 0.30 per tenth mile, you can travel
... $11.00/$0.30 = 36 2/3 . . . . tenth-miles
The trip is measured in whole tenths, so you can ride ...
... 36 × 1/10 = 3.6 miles
_____
If you want to see this in the form of an equation, you can let x represent the miles you can travel. Then your budget amount gives rise to the inequality ...
... 3.50 + 0.30((x -.50)/0.10) + 2.00 ≤ 15.00
... 3.50 + 3x -1.50 +2.00 ≤15.00 . . . . . . . eliminate parentheses
... 3x ≤ 11.00 . . . . . . . . . . . . . . . . . . . . . . . . collect terms, subtract 4
... x ≤ 11/3 . . . . . . . . . . . . . . . . . . . . . . . . . . divide by 3
... x ≤ 3.6 . . . . . rounded down to the tenth
WILL NARK BRAINLIEST PLEASE HELP ASAP !!!!
What is the equation of this line in slope-intercept form? Enter your answer in the boxes.
y=4/3x+4
are you in k12 i tookthat test already
y = [tex]\frac{4}{3}[/tex] x + 4
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 4 ) and (x₂, y₂ ) = (-3, 0 ) ← 2 points on line
m = [tex]\frac{x0-4}{-3-0}[/tex] = [tex]\frac{-4}{-3}[/tex] = [tex]\frac{4}{3}[/tex]
the line crosses the y-axis at (0, 4 ) → c = 4
y = [tex]\frac{4}{3}[/tex] x + 4 ← in slope-intercept form
It was -8 degrees in the morning, but by 5pm the temperature decreased 10 degrees. What was the temperature then?
PLEASE HELP QUICK
Mike was in charge of collecting contributions for the Food Bank. He received contributions of $13, $34, $26, $31, and $28 from five co-workers. Find the median value of these contributions.
median = $28
the median is the middle value of the data arranged in ascending order
rearrange the data in ascending order
13 26 28 31 34
the middle entry is 28
hence median = $28
The median is the middle value so put the numbers in order from smallest to largest.
13,26,28,31,34
The middle value is 28, so the median value is 28
it takes Jupiter 11.9 years to orbit,or go around the sun. Saturn takes 17.6 more years than Jupiter to orbit the sun. About how long does it take Saturn to orbit the sun?
Saturn takes 17.6 more years than Jupiter, so 17.6 + 11.9 will get you how long Saturn will take to orbit the sun, which would give you 29.5 years.
The time it takes Saturn to orbit the sun can be calculated by adding Jupiter's orbit time to the additional time Saturn takes after Jupiter. Saturn takes approximately 29.5 years to complete one orbit around the sun.
To find out how long it takes Saturn to orbit the sun, we know that Jupiter takes 11.9 years and Saturn takes 17.6 more years than Jupiter. So, Saturn takes 11.9 + 17.6 = 29.5 years to orbit the sun.
Scientific skills exercise: interpreting a scatter plot with two sets of data which variable is the independent variable--the variable that was controlled by the researchers? Is the independent variable on the x-axis or the y-axis?
In a scatter plot with two sets of data, the independent variable is the variable that was controlled by the researchers and is represented on the x-axis.
Explanation:In a scatter plot with two sets of data, the independent variable is the variable that was controlled by the researchers. The independent variable is typically represented on the x-axis of a scatter plot. It is the variable that is manipulated or changed to observe its effect on the dependent variable, which is plotted on the y-axis.
Learn more about Interpreting scatter plots here:https://brainly.com/question/31353612
#SPJ3
Mila reads at a rate of 2 paragraphs per minute. After reading for 3 minutes, she had read a total of 6 paragraphs. This situation can be represented with a linear equation written in point-slope form, where x represents the number of minutes and y represents the number of paragraphs. Use this information to complete each statement about the linear equation.
Mila reads at a rate of 2 paragraphs per minute. After reading for 3 minutes, she had read a total of 6 paragraphs.
This situation can be represented with a linear equation written in point-slope form,
Let 'x' represents the number of minutes and,
y represents the number of paragraphs.
In one minute Mila reads 2 paragraphs .
So, y=2x
Let x=1 then y=2
x=2 then y =4
Here slope of equation is 2
Let( x1, y1) and (x2,y2) be the two point the equation y=2x the ,
we can write, (y2 - y1) = m(x2 - x1)
or (y2 - y1) = 2(x2 - x1)
Answer:
(3,6)
Step-by-step explanation:
Given that Mila reads at a rate of 2 paragraphs per minute. After reading for 3 minutes, she had read a total of 6 paragraphs.
This situation can be represented with a linear equation written in slope-intercept form, as
[tex]y=2x[/tex]
where 'x' represents the number of minutes and,
y represents the number of paragraphs.
Since y intercept is 0 i.e. 0 paras in 0 minutes we have the equation as
[tex]y=2x[/tex]
Since no of minutes or paragraphs cannot take negative values this line is defined only in the I quadrant where both x and y are positive
Out of the points given as follows:
(3,6) (2,3) (-3,6) or (-2,6) ,
we can remove last two since they have negative x which is impossible.
Consider (3,6) (2,3)
Out of these only I point (3,6) satisfies [tex]y=2x[/tex] and second point (2,3) does not satisfy
[tex]y=2x[/tex]
Hence answer is (3,6)
Jeff and Jemaine go to an indoor ice skating ring. Jeff has to rent skates at $3.50 a pair while Jermaine has brought her own skates. Every hour of skating costs two dollars per person. Jeff can spend at most $10 while Jermaine can spend most $9. If they combine their money, how many hours could they skate together? Show work
The solution to w/-7=-21 is 3 true or false
false , w = 147
multiply both sides by - 7 to eliminate the fraction
w = - 7 × - 21 = 147
The solution to the equation w/-7=-21 is not 3 but 147. Therefore, the original statement is false.
Explanation:The equation in question is w/-7 = -21. To solve this equation, we multiply both sides by -7.
When we do this, the equation simplifies to w = -(-21)*7. As -(-21) turns to 21, and 21*7 is equal to 147, we find that the solution to the equation w/-7=-21 is w=147, and not w=3.
Therefore, the statement 'The solution to w/-7=-21 is 3' is false.
Learn more about Equation Solution here:https://brainly.com/question/545403
#SPJ3
If y varies directly with x, write an equation for the direct variation. Then find the value.
If y=3 when x=2, find y when x=1
Plz show work
since y varies directly with y then
y = kx ( k is the constant of variation )
to find k use y = 3 when x = 2
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{3}{2}[/tex]
equation is : y = [tex]\frac{3}{2}[/tex] x
When x = 1 then y = [tex]\frac{3}{2}[/tex] × 1 = [tex]\frac{3}{2}[/tex]
[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we also know that}~~ \begin{cases} y=3\\ x=2 \end{cases}\implies 3=k2\implies \cfrac{3}{2}=k \\\\\\ therefore\qquad \boxed{y=\cfrac{3}{2}x} \\\\\\ \textit{when x = 1, what is \underline{y}?}\qquad y=\cfrac{3}{2}(1)\implies y=\cfrac{3}{2}[/tex]
X(x+3)-x=5 is a quadratic equation?
True
False
The given equation can be simplified to ...
... x² +2x = 5
This is a quadratic equation. The highest-degree term has degree 2. (TRUE)
Show how you could set up and find the exact value of cos(5π/4) in two different ways.
note that 5π /4 is in the third quadrant where the cos is negative
the related acute angle to 5π /4 is π/4, thus
cos( 5π /4 ) = - cos (π/4 ) = - √2/2
We can also evaluate using the addition formula for cosine
• cos (x + y ) = cosxcosy - sinxsiny
note that 5π /4 = (π + π/4 )
cos(5π /4 ) = cos (π + π/4 )
= cos(π)cos(π/4) - sin(π)sin(π/4)
= - 1 √2/2 - 0 = - √2/2
Dad, Anna, and Todd are walking in a city park together. While dad made 3 steps, Anna made 5 steps. For every 3 of Anna's steps, Todd made 5 steps. Anna and Todd calculated that they did 400 steps together. How many steps did dad make during that period?
Answer:
Dad made 90 steps during that period.
Step-by-step explanation:
Let x,y,z be the steps made by dad,Anna and Todd.
Given that while dad made 3 steps, Anna made 5 steps.
That is [tex]\frac{x}{y}= \frac{3}{5}[/tex]
[tex]y=\frac{5x}{3}[/tex]
And for every 3 steps Anna made, Todd made 5 steps.
That is [tex]\frac{y}{z}= \frac{3}{5}[/tex]
[tex]z=\frac{5y}{3} =\frac{5(\frac{5x}{3}) }{3} =\frac{25x}{9}[/tex]
It is also given that total number of steps made by Anna and Todd is 400.
That is y+z=400
let us plugin y and z in terms of x.
[tex]\frac{5x}{3} +\frac{25x}{9} =400[/tex]
[tex]\frac{15x}{9} +\frac{25x}{9}=400[/tex]
[tex]\frac{40x}{9}=400[/tex]
[tex]x=400X\frac{9}{40} =90steps[/tex]
Hence Dad made 90 steps during that period.
1/2divide by 5 =1 blank of 1/2
Answer:
i am pretty sure that it is .2,
Step-by-step explanation:
first, you would do .5 divided by 5 which is 0.1. Then you would do 0.1 divided by 0.5 and you would get 0.2
Please Answer The Following Questions.
Answer:
4. 73
5. 40°
Step-by-step explanation:
The sum of the angles in a triangle is 180°. The sum of angles in a linear pair is 180°.
4. 45° +62° + k° = 180°
... 107 +k = 180 . . . . . collect terms, divide by °
... k = 180 -107 = 73 . . . . . subtract 107
_____
5. ∠STR = ∠SRT = 20°
... ∠STR +∠STU = 180°
... 20° + 4x = 180°
... 4x = 160° . . . . . . . . subtract 20°
... x = 40° . . . . . . . . . . divide by the coefficient of x
choose the best response to explain why 3 (x+12)=3 (x+5)
3(x + 12) does not, and never will, equal 3(x + 5)
We can solve the equation to verify.
3(x + 12) = 3(x + 5)
Distributive property.
3x + 36 = 3x + 15
Subtract 15 from both sides.
3x + 21 = 3x
Cancel like terms.
21 = 0 × this is incorrect.
Can someone pls help me with this?
The naming of similar triangles has corresponding vertices in the same order in the name. That means segment QS corresponds to segment AC. We note that QS = 6 cm is 1/10 the length of AC = 60 cm.
Side AB is given as 50 cm, so the corresponding side QR will be 1/10 that value.
... QR = 5 cm
Use substitution to solve the linear system of equations
x = 4.
-y = 1/2x
(4, -2)
(-2, 4)
(4, 2)
(2, -4)
solution = (4, - 2 )
substitute x = 4 into - y = [tex]\frac{1}{2}[/tex] x
- y = [tex]\frac{1}{2}[/tex] × 4 = 2 ( multiply both sides by - 1 )
y = - 2
solution is ( 4, - 2 )
Answer:
I think it is (4,-2)
Ruben said that 96.52 ÷ 12.7 equals 7.6.
Is Ruben's answer reasonable?
A.
No, Ruben's answer should be closer to 0.8.
B.
No, Ruben's answer should be closer to 80.
C.
No, Ruben's answer should be closer to 800.
D.
Yes, Ruben's answer is reasonable.
By rounding to the nearest whole numbers and estimating, it is confirmed that Ruben's answer of 96.52 ÷ 12.7 equals 7.6 is indeed reasonable.
Explanation:To assess if Ruben's answer that 96.52 ÷ 12.7 equals 7.6 is reasonable, let's consider the magnitude of the numbers involved. Firstly, we can simplify our estimation by rounding the numbers to the nearest whole digits, which gives us approximately 97 ÷ 13. By using division, we see that 13 goes into 97 about 7 times with some remainder, since 13 x 7 is 91, which is close to 97.
Now, 7.6 is indeed close to our estimation, so we can determine that Ruben's answer is within a reasonable range. Thus, the correct response to whether Ruben's calculation is reasonable would be:
D. Yes, Ruben's answer is reasonable.
9y + 3 > 4y - 7
thats it
Which expression is equivalent to the expression -2 4/5+6/7: 2 4/5-6/7: -2 4/5-6/7: -(2 4/5+6/7): -(2 4/5 - 6/7)
When you factor out -1, you get ...
... -(2 4/5 - 6/7)
In figure, MN : NP = 9:1. If MP = 2. Find the distance from M to point K that is 1/4 the distance from M to N?
(A) 1 (B) 1 1/3 (C) 9/20 (D) 1 8/10
The distance MN is 9/(9+1) = 9/10 of the distance MP, so is
... MN = (9/10)×MP = (9/10)×2 = 9/5
The distance MK is 1/4 that, so is ...
... MK = (1/4)×(9/5) = 9/20 . . . . . matches selection (C)
Answer:
C
Step-by-step explanation:
the answer is C. give the person the brainly :) ignore this answer
For the following system of inequalities, which point lies in the solution set?
4x + 2y > 12
x − y > 5
Select one:
A. (1,1)
B. (8,4)
C. (3,9)
D. (9,1)
D
Substitute the coordinates of the given points into the inequalities and if both are true then the point is a solution to the system.
A(1, 1 ) : 4 + 2 = 6 and 1 - 1 = 0 not a solution
B(8, 4 ) : 32 + 8 = 40 and 8 - 4 = - 4 not a solution
C(3, 9 ) : 12 + 18 = 30 and 3 - 9 = - 6 not a solution
D(9, 1 ) : 36 + 2 = 38 and 9 - 1 = 8 is a solution
the point (9, 1 ) is the only point that makes both inequalities true
If f(x) = 5x - 2 and g(x) = 2x + 1, find (f - g)(x)
(5x - 2 - g(x))(x)
(5x - 2 -(2x + 1)
(5x - 2 - (2x + 1) : 3x - 3
= 3x - 3
If f is a polynomial function and xminus−5 is a factor of f, then f(5)equals=_______.
if (x - 5 ) is a factor of f(x ) then x = 5 is a root of f(x) and f(5) = 0
Answer:
[tex]f(5) = 0[/tex]
Step-by-step explanation:
A function [tex]f[/tex] can be simplified by it's roots.
For example, a second order function expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0.[/tex]
Can be expressed in function of it's roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = (x - x_{1})*(x - x_{2})[/tex].
Is [tex]x-5[/tex] is a factor of f, this means that f can be expressed in function of [tex]x - 5[/tex], that is, x = 5 is a root of the equation.
This means that:
[tex]f(5) = 0[/tex]
How do you write 300450390 in expanded form
300000000+400000+50000+300+90= 300450390
Hope this helped! :)
How do you write 300450390 in expanded form ?
300000000+ 400000+ 50000+ 300+ 90= 300450390
Hope this helps. If it does, please mark me brainiest! <3
Select all the proper fractions
5/3
6/7
12/17
9/5
11/4
6/25
6/7 and 12/17 all the other have to be reduced
These are the proper fractions
6/7
12/17
6/25
These are improper fraction
5/3
9/5
11/4
Write a two point slope equations for the line passing through the points 6,5 and 3,1
The 2-point form of the equation of a line can be written as ...
... y = (y2-y1)/(x2-x1)·(x -x1) +y1
For your points, this is ...
... y = (1-5)/(3-6)·(x -6) +5
... y = (4/3)(x -6) +5
It can also be written as
... y -5 = (4/3)(x -6)
Answer: The required equation is y= 4x/3 - 3
Step-by-step explanation:
Given points (6,5) and (3,1)
Two point slope equation is given as
[tex]y - y1 = \frac{y2-y1}{x2-x1}(x-x1)[/tex]
where (x1, y1) and (x2,y2) are the points respectively
∴ [tex]y-5 =\frac{1-5}{3-6}(x-6)[/tex]
[tex]y-5 =\frac{-4}{-3} (x- 6)[/tex]
[tex]y -5 =\frac{4}{3} (x-6)[/tex]
[tex]y - 5 =\frac{4}{3}x - 8[/tex]
[tex]y = 5 +\frac{4}{3} x - 8[/tex]
[tex]y = \frac{4}{3}x -3[/tex]
It can also be written as
[tex]y -5 =\frac{4}{3}(x -6)[/tex]