Answer:
4th-degree trinomial
Step-by-step explanation:
The question is missing it's root sign; it should be 7x^4-5x+4
The sun is 24 degreesabove the horizon. It makes a 51 m long shadow of a tall tree. how talll is the tree
Answer:
The tree is approximately 22.707 meters tall.
Step-by-step explanation:
The geometric diagram of the problem is included below as attachment. The height of the tree is found by means of trigonometric functions:
[tex]\tan \alpha = \frac{h}{w}[/tex]
Where:
[tex]\alpha[/tex] - Elevation angle, measured in sexagesimal degrees.
[tex]h[/tex] - Height of the tree, measured in meters.
[tex]w[/tex] - Length of the tree shadow, measured in meters.
The height of the tree is cleared in the equation:
[tex]h = w\cdot \tan \alpha[/tex]
If [tex]w = 51\,m[/tex] and [tex]\alpha = 24^{\circ}[/tex], the height is:
[tex]h = (51\,m)\cdot \tan 24^{\circ}[/tex]
[tex]h \approx 22.707\m[/tex]
The tree is approximately 22.707 meters tall.
10 pts
Point K (-2,-3) is translated (x + 5, y-7). What are the coordinates K?
Answer: (3,-10)
Step-by-step explanation:
Using the translated rule that x is increase by 5 and y is decreased by 7 put it into the equation and solve for the coordinates of k.
(-2 +5 ) = 3
(-3 -7) = -10
So now the coordinates will be (3,-10)
Find the direction cosines and direction angles of the vector. (Give the direction angles correct to the nearest degree.) 5, 1, 4
Answer:
The direction cosines are:
[tex]\frac{5}{\sqrt{42} }[/tex], [tex]\frac{1}{\sqrt{42} }[/tex] and [tex]\frac{4}{\sqrt{42} }[/tex] with respect to the x, y and z axes respectively.
The direction angles are:
40°, 81° and 52° with respect to the x, y and z axes respectively.
Step-by-step explanation:
For a given vector a = ai + aj + ak, its direction cosines are the cosines of the angles which it makes with the x, y and z axes.
If a makes angles α, β, and γ (which are the direction angles) with the x, y and z axes respectively, then its direction cosines are: cos α, cos β and cos γ in the x, y and z axes respectively.
Where;
cos α = [tex]\frac{a . i}{|a| . |i|}[/tex] ---------------------(i)
cos β = [tex]\frac{a.j}{|a||j|}[/tex] ---------------------(ii)
cos γ = [tex]\frac{a.k}{|a|.|k|}[/tex] ----------------------(iii)
And from these we can get the direction angles as follows;
α = cos⁻¹ ( [tex]\frac{a . i}{|a| . |i|}[/tex] )
β = cos⁻¹ ( [tex]\frac{a.j}{|a||j|}[/tex] )
γ = cos⁻¹ ( [tex]\frac{a.k}{|a|.|k|}[/tex] )
Now to the question:
Let the given vector be
a = 5i + j + 4k
a . i = (5i + j + 4k) . (i)
a . i = 5 [a.i is just the x component of the vector]
a . j = 1 [the y component of the vector]
a . k = 4 [the z component of the vector]
Also
|a|. |i| = |a|. |j| = |a|. |k| = |a| [since |i| = |j| = |k| = 1]
|a| = [tex]\sqrt{5^2 + 1^2 + 4^2}[/tex]
|a| = [tex]\sqrt{25 + 1 + 16}[/tex]
|a| = [tex]\sqrt{42}[/tex]
Now substitute these values into equations (i) - (iii) to get the direction cosines. i.e
cos α = [tex]\frac{5}{\sqrt{42} }[/tex]
cos β = [tex]\frac{1}{\sqrt{42} }[/tex]
cos γ = [tex]\frac{4}{\sqrt{42} }[/tex]
From the value, now find the direction angles as follows;
α = cos⁻¹ ( [tex]\frac{a . i}{|a| . |i|}[/tex] )
α = cos⁻¹ ( [tex]\frac{5}{\sqrt{42} }[/tex] )
α = cos⁻¹ ([tex]\frac{5}{6.481}[/tex] )
α = cos⁻¹ (0.7715)
α = 39.51
α = 40°
β = cos⁻¹ ( [tex]\frac{a.j}{|a||j|}[/tex] )
β = cos⁻¹ ( [tex]\frac{1}{\sqrt{42} }[/tex] )
β = cos⁻¹ ( [tex]\frac{1}{6.481 }[/tex] )
β = cos⁻¹ ( 0.1543 )
β = 81.12
β = 81°
γ = cos⁻¹ ( [tex]\frac{a.k}{|a|.|k|}[/tex] )
γ = cos⁻¹ ([tex]\frac{4}{\sqrt{42} }[/tex])
γ = cos⁻¹ ([tex]\frac{4}{6.481}[/tex])
γ = cos⁻¹ (0.6172)
γ = 51.89
γ = 52°
Conclusion:
The direction cosines are:
[tex]\frac{5}{\sqrt{42} }[/tex], [tex]\frac{1}{\sqrt{42} }[/tex] and [tex]\frac{4}{\sqrt{42} }[/tex] with respect to the x, y and z axes respectively.
The direction angles are:
40°, 81° and 52° with respect to the x, y and z axes respectively.
Solve for y. 7x-5y=-35
Answer:
y = 7(1 + x/5)
Step-by-step explanation:
7x - 5y = -35
-5y = -35 - 7x
5y = 35 + 7x
y = (35 + 7x) / 5
y = 7 + 7x/5
y = 7(1 + x/5)
Find a fundamental matrix solution for the system x 0 1 7x1 + 4x2 + 12x3, x 0 2 x1 + 2x2 + x3, x 0 3 −3x1 − 2x2 − 5x3. Then find the solution that satisfies x®(0) h 0 1 −2 i .
Here is the correct format for the question.
[tex]x'_1 = 7x_1 +4x_2+ 12x_3 , \ \ x'_2 = x_1 + 2x_2 + x_3 , \ \ x'_3 = -3x_1 -2x_2 -5x_3[/tex] . Then find the solution that satisfies [tex]x \limits ^{\to} = \left[\begin{array}{c}0\\1\\-2\end{array}\right][/tex]
Answer:
[tex]\mathbf{c_1 = -3, c_2 = 2, c_3 = 2}[/tex]
Step-by-step explanation:
From the figures given above:
the matrix can be computed as,
[tex]\left[\begin{array}{ccc}7&4&12\\1&2&1\\-3&-2&-5\end{array}\right] x \limits ^{\to} = \left[\begin{array}{c}x_1\\x_2\\x_3\end{array}\right] = x \limits ^{\to} = \left[\begin{array}{c}x_1'\\x_2'\\x_3'\end{array}\right][/tex]
The first thing we need to carry out is to determine the eigenvalues of A,
where:
[tex]A = \left[\begin{array}{ccc}7&4&12\\1&2&1\\-3&-2&-5\end{array}\right][/tex]
[tex]|A-rI|=0[/tex]
[tex]\begin {vmatrix} 7-r&4&12\\1&2-r&1\\-3&-2&-5-r \end {vmatrix}=0[/tex]
the eigenvalues are r = 0, 1, 3
However, the eigenvector correlated to each eigenvalue can be calculated as follows.
suppose r = 0
(A - rI) x = 0
[tex]\left[\begin{array}{ccc}7&4&12\\1&2&1\\-3&-2&-5\end{array}\right] \left[\begin{array}{c}x_1\\x_2\\x_3\end{array}\right] = \left[\begin{array}{c}0\\0\\0\end{array}\right][/tex]
now the eigenvector is [tex]\left[\begin{array}{c}-4\\1\\2\end{array}\right][/tex]
However, for eigenvalue = 1, we have : [tex]\left[\begin{array}{c}-4\\1\\2\end{array}\right][/tex]
for eigenvalue = 3, we have:[tex]\left[\begin{array}{c}-2\\-1\\1\end{array}\right][/tex]
The solution now can be computed as :
[tex]x(t)= c_1 \left[\begin{array}{c}-4\\1\\2\end{array}\right] + c_2e^t \left[\begin{array}{c}-4\\3\\1\end{array}\right]+ c_3e^{3t} \left[\begin{array}{c}-2\\-1\\1\end{array}\right][/tex]
Similarly, the fundamental matrix solution is:
[tex]\left[\begin{array}{ccc}-4&-4e^t&-2e^{3t}\\1&3e^t&-e^{3t}\\2&e^t&e^{3t}\end{array}\right][/tex]
[tex]-4c_1 -4c_2-2c_3 =0 \\ \\ c_1 + 3c_2 -c_3 = 1\\ \\ 2c_1+c_2 +c_3 = -2[/tex]
Solving the above equation, we get:
[tex]\mathbf{c_1 = -3, c_2 = 2, c_3 = 2}[/tex]
Fabio is climbing a tree. He climbs up 7 feet. Then he falls back 3 feet.
Answer: Fabio is four feet above the ground level.
Step-by-step explanation:
Determine the level of measurement of the variable.Livability rankings for cities Choose the correct level of measurement.A. Ratio.B. Ordinal.C. Nominal.D. Interval.
Answer:
B. Ordinal
Step-by-step explanation:
The level of measurement used for a variable in statistical analysis determines what summary statistics and analysis are possible. In statistical analysis, we have three types of level of measurement.
Nominal , Ordinal , Interval/ Ratio
The nominal is the most basic level of measurement. It is the qualitative level of measurement such as color or number. Data in Nominal scale of measurement are stored as a word or as numerical code.
Ordinal level of measurement are variables based on ranks or hierarchy. Ordinal level of measurement posses a sequential step-wise order but the intervals between the variables are not equal. They are usually expressed in frequencies.
Therefore, the level of measurement of variable that determines the livability rankings for cities based on their ranks or hierarchy is Ordinal.
The interval/ratio level of measurement is the highest level of measurement where data are being measured and ordered in a sequential process.
What did Taylor and her schoolmates do to be certain their educational endeavors remained secret?
Answer:
They wrapped their school textbooks with paper.
Step-by-step explanation:
Susie King Taylor was born in 1848, a period when African Americans were not allowed to learn how to read and write. She lived with her grandmother and siblings. Taylor would secretly go to the house of her grandmother's friend known as Mrs. Woodhouse. For two years, she would do this secretly with her brother, wrapping her textbooks with paper so as not to be seen by the policemen.
She also made a white friend known as Katie O'Connor who promised to teach her if she did not tell her father. Katie did this for four months. Later, their landlord's son also volunteered to teach Susie.
Find an equation of a sphere if one of its diameters has endpoints (4, 1, 6) and (8, 3, 8).
Answer:
The equation of a sphere with endpoints at (4, 1, 6) and (8, 3, 8) is [tex](x-6)^{2}+(y-2)^{2}+(z-7)^{2} = 6[/tex].
Step-by-step explanation:
Given the extremes of the diameter of the sphere, its center is the midpoint, whose location is presented below:
[tex]C(x,y,z) = \left(\frac{4+8}{2},\frac{1+3}{2},\frac{6+8}{2}\right)[/tex]
[tex]C(x,y,z) = (6,2,7)[/tex]
Any sphere with a radius [tex]r[/tex] and centered at [tex](h,k,s)[/tex] is represented by the following equation:
[tex](x-h)^{2}+(y-k)^{2}+(z-s)^{2} = r^{2}[/tex]
Let be [tex](x,y,z) = (4,1,6)[/tex] and [tex](h,k,s) = (6,2,7)[/tex], the radius of the sphere is now calculated:
[tex](4-6)^{2}+(1-2)^{2}+(6-7)^{2}=r^{2}[/tex]
[tex]r = \sqrt{6}[/tex]
The equation of a sphere with endpoints at (4, 1, 6) and (8, 3, 8) is [tex](x-6)^{2}+(y-2)^{2}+(z-7)^{2} = 6[/tex].
Sam had 225 dollars to spend on 8 books. After buying them he had 17 dollars. How much did each book cost?
Answer:
Each book costs 26 dollars
Step-by-step explanation:
Let b be the price of each book
8*b +17 = 225
Subtract 17 from each side
8b+17-17 = 225-17
8b =208
Divide by 8
8b/8 = 208/8
b =26
Each book costs 26 dollars
One in 1000 adults is afflicted with a rare disease forwhich a diagnostic test has been developed. The test is such,that when an individual has the disease, a positive result willoccur 98% of the time, while an individual without the disease willshow a positive result only 1% of the time. If a randomlyselected individual is tested and the result is positive, what isthe probability that the individual has the disease?
Answer:
0.0893
Step-by-step explanation:
Let A be the event that the individual has the disease
Let Aⁿ be the event that the individual doesn't have the disease
Let B be the event of a positive result showing.
Now,
We are told One in 1000 adults is afflicted with the disease.
Thus;
P(A) = 1/1000 = 0.001
P(Aⁿ) = 1 - 0.001 = 0.999
Also,we are told that when an individual has the disease, a positive result will occur 98% of the time.
Thus;
P(A|B) = 98% = 0.98
Also, we are told that an individual without the disease will show a positive result only 1% of the time. Thus;
P(Aⁿ|B) = 1% = 0.01
Now, from fundamental rule, let's find P(B). Thus;
P(B) = [P(A|B) × P(A)] + [P(Aⁿ|B) × P(Aⁿ)]
P(B) = (0.98 × 0.001) + (0.01 × 0.999)
P(B) = 0.01097
Now, from Baye's theorem, If a randomly selected individual is tested and the result is positive, the probability that the individual has the disease is given by;
P(A|B) = [P(A|B) × P(A)]/P(B)
P(A|B) = (0.98 × 0.001)/0.01097
P(A|B) = 0.0893
Danielle earns a 7.75% commission on everything she sells at the electronics store where she works. She also earns a base salary of $775 per week. How much did she earn last week if she sold $4,300 in electronics merchandise? Round your intermediate calculations and answer to the nearest cent.
Answer:
$1108.25
Step-by-step explanation:
Danielle's commission on $4300 in sales is ...
0.0775 × $4300 = $333.25
That, added to her base salary, gave her weekly earnings of ...
$333.25 +775 = $1108.25 . . . . Danielle's pay last week
Find the domain of the function.
f(x) = - 4x + 5
The domain is (Type your answer in interval notation.)
Answer:
(-∞,∞)
Range (-∞,∞)
Step-by-step explanation:
i will GIVE THE BRAINIEST
Without simplifying, select all the expressions that represent a rational number.
Answer:
The first and the fourth one.
The ones that could be rationalized are automatically the ones you should pick.
Is 63 greater than 48.1 or less than
PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)
Answer:
63 is greater than 48.1 ...
63 > 48.1
Step-by-step explanation:
63 is greater than 48 remember. So you need to remove the [.1] and focus on the 63 and 48.
Hope it helps!!Please mark me as the brainliest!!!Thanks!!!!❤❣❤
:)how many 1/16 pieces are in 2/8? how many 1/8 pieces are in 10/16? how many 1/8 pieces are in 4/4?
Answer:
4/16 pieces are in 2/8, 5/8 pieces are in 10/16, 8/8 pieces are in 4/4
Step-by-step explanation:
multiply or divide both the numerator (top number) and the denominator (bottom number) by a number that will give you a common denominator
[tex]\frac{2*2}{8*2} =\frac{4}{16} \\\frac{10/2}{16/2} =\frac{5}{8} \\\frac{4*2}{4*2}=\frac{8}{8}[/tex]
What is the graph of the parent linear function. It shows 3 graphs & we pick one! Please help! I have to get this done ASAP! Will give lots of points for the correct answer!!!
Answer:
I'd ont now that your questions
5) Determine o conjunto solução da equação: x² + 12x - 189 = 01 ponto{ - 21, 9}{ 21, -9 }{ 21 }{ - 9 }
Answer:
x = 9 or x = -21
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 12 x - 189 = 0
The left hand side factors into a product with two terms:
(x - 9) (x + 21) = 0
Split into two equations:
x - 9 = 0 or x + 21 = 0
Add 9 to both sides:
x = 9 or x + 21 = 0
Subtract 21 from both sides:
Answer: x = 9 or x = -21
a pool in the shape of a rectangular prism is 6 meters long and 3 meters wide. the water in the pool is 1 meter deep.
a. the density of water is about 1 gram per cubic centimeter. find the number of kilograms of water in the pool. question 2
b. you add 6000 kilograms of water to the pool. what is the depth of the water in the pool? write your answer as a fraction. the water is about meters deep.
Answer:
1). Mass of water present= 18000 kg
2).4/3 meters deep
Step-by-step explanation:
Area of the rectangle= 6*3= 18m²
Volume of water in the pool
= Deepness of water*area of rectangle
= 1*18
= 18 m³
density of water is about 1 gram per cubic centimeter
In kg per m³= 1000 kg/me
Mass of water present= density*volume
Mass of water present= 1000*18
Mass of water present= 18000 kg
2)6000 kilograms of water is added to 18000 of
Total mass present= 6000+18000
Total mass present=24000 kg
If density= 1000kg/m³
Volume present= mass/density
Volume present= 24000/1000
Volume present= 24 m³
Area of the rectangle= 18 m²
deepness of the pool= volume/area
deepness of the pool= 24/18
deepness of the pool= 4/3 meters deep
The sum of Micah’s age and Aria’s age is 29. Aria is 5 years older than twice Micah’s age. Let x represent Micah’s age. The equation that can be used to find Micah’s age is x + (x + 5) = 29. x + (2 x + 5) = 29. x + (2 x) = 29. x + (2 x minus 5) = 29
Answer:
B) x+(2x+5)=29
Step-by-step explanation:
Micah = x
Aria =2x+5
x+(2x+5)=29
Answer:
let micah age be X and Aria age be Y then go through with question what did it say .
Simplify
20/3root5 solve it
Step-by-step explanation:
hope it will help you.......
Which point lies on the line with point-slope equation y - 3 = 4(x + 7)?
A.
(7, 3)
B.
(7, -3)
C.
(-7, -3)
D.
(-7, 3)
Answer:
D.
(-7, 3)
Step-by-step explanation:
Given equation
y - 3 = 4(x + 7)
points are in form of (x,y) that is first value represent value of coordinate and
second value y represents value of y coordinates.
to find which point lies on given line equation we need to substitute value of x and see if value of y obtained is same as given in the option or not.
______________________________________
A.
(7, 3)
substituting x with 7 in the equation
y - 3 = 4(7 + 7)
=> y - 3 = 4(14)
=> y - 3 = 56
=> y = 56+3 = 59
Thus, we see value of y when x is 7 is 59
which is not equal to 3 as given in option A hence option A is not correct choice
B.
(7, -3)
As seen above for x = 7 , y is 59 hence option B is also incorrect
C.
(-7, -3)
substituting x with -7 in the equation
y - 3 = 4(-7 + 7)
=> y - 3 = 4(0)
=> y - 3 = 0
=> y = 0+3 = 3
Thus, we see value of y when x is -7 is 3
which is not equal to -3 as given in option C hence option C is not correct choice
D.
(-7, 3)
As calculated above value of y when x is -7 is 3
hence
option D is correct choice.
What is the factored from of the polynomial. x^2 + 9x + 20
Answer:
Step-by-step explanation:
Hello, the sum of the roots is -9=-4-5 and the product is 20=(-4)*(-5) so we can write
[tex]x^2+9x+20=(x+4)(x+5)[/tex]
thanks
Answer:
( x + 4 ) ( x + 5 )
Step-by-step explanation:
For this polynomial, we will factor the coefficient of the x^2 term and the constant.
The coefficient of x^2 is 1, which just factors to 1.
The constant 20 factors into 2 * 2 * 5.
Note, that our middle term coefficient is 9 and thus we want a pairing of 1 with either 2, 4, or 5 to make 9. 4 + 5 = 9, so we will choose that.
Using the standard binomials, we will factor the polynomial:
( x^2 + 9x + 20 )
= ( x + 4 ) ( x + 5)
We can check by performing foil:
= ( x + 4 ) ( x + 5 )
= ( x * x + x * 5) + ( 4 * x + 4 * 5)
= ( x^2 + 5x ) + ( 4x + 20 )
= ( x^2 + 9x + 20 )
Thus, we have successfully factored our polynomial.
Cheers.
Raphael's neighborhood kid's pool is shaped like a square with an area of 120 ft2. What is the approximate side length of the pool?
Answer:
10.95 or 11 if rounded up
Step-by-step explanation:
The side length of a pool shaped like a square with an area 120ft² is
S = [tex]\sqrt{120}= 10.954[/tex]
Side of a square:Given,
Raphael's neighborhood kid's pool is shaped like a square.Area of the pool = 120 ft²Let side of the pool = S
Area of the pool = S² = 120
Hence, the side of the pool = S = [tex]\sqrt{120}= 10.954[/tex] ft
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Today,the badminton team and the basketball team had games.the badminton team plays every 4 days and the basketball team plays every 6 days.after how many days will the teams have their games in the same day?? Please help asap im really struggling right now!
What’s half of 4,538
Answer: 2,269
Step-by-step explanation: Divide by 2 to get half of a number
Answer:
2269
Step-by-step explanation:
just simply divide 4538 by 2
50pts.
A problem states: "There are 2 more horses than cows in a field. There are 16 animals in the field in all. How many horses are there in the field?" Let c represent the number of cows. Which equation represents the situation?
c + 2 = 16
2c−2=16
2(c+2)=16
2c + 2 = 16
Answer:
its the 3rd 1
Step-by-step explanation:
what is the input set of a function called
Answer:
A function is a mathematical device that converts one value to another in a known way. ... The set of allowable inputs to a given function is called the domain of the function. The set of possible outputs is called the range of the function.
Step-by-step explanation:
Hopefully this was mindfull
The input set of a function is called the "Domain" of the function.
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
For any function, the values which we are putting form a set of intervals called domain.
For example f(x) = x²
Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.
Hence "The input set of a function is called the "Domain" of the function".
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Solve for x.
to
118°
X°
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{62}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{x ° + 118 ° = 180 ° }[/tex]
( Sum of angle in straight line )
Move 118 to right hand side and change it's sig
⇒[tex] \sf{x ° = 180 ° - 118 °}[/tex]
Calculate
⇒[tex] \sf{x = 62 °}[/tex]
Hope I helped!
Best regards!!
for surge works at the super market as a casheir a bagger and a stocker he earns 7.00$ per hour as a casheir , $6.00 per hour as a bagger and $5.00 oer hour as a stocker in a given week serge works 4 hours as a cashier 9 hours as a bagger and 7 hours as a stocker what is serge average pay per hour
Answer:
$117.00
Step-by-step explanation:
-earns $7.00 per hour as a cashier
-earns $6.00 per hour as a bagger
-earns $5.00 per hour as a stocker
-works 4 hours as a cashier
-works 9 hours as a bagger
-works 7 hours as a stocker
First, find the amount of money earned in the week while working as a cashier. We know from the information we picked out that Surge works $7.00 per hour as a cashier and he works 4 hours that week. Therefore, we need to multiply the amount of money made per hour by the amount of hours worked in a week.:
$7.00/hr * 4 hrs=$28.00 made as a cashier
Next, find the amount of money Surge made as a bagger. Do the same thing as you did with the cashier calculations, except that this time, he earns $6.00 per hour and he works 9 hours as a bagger.:
$6.00/hr * 9 hrs=$54.00 made as a bagger
Then, find the amount of money made as a stocker. It's the same as everything else, just that Surge know earns $5.00 per hour and he works 7 hours as a stocker. So, do the last set of multiplication:
$5.00/hr * 7hrs=$35.00 made as a stocker
Finally, the question asks for the average amount of money made per week, so add up all you calculations to get that average amount:
$28.00+$54.00+$35.00=$117.00
Surge makes an average of $117.00 in a given week.
The serge average pay per hour will be $117.00.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
It is given that earns $7.00 per hour as a cashier, earns $6.00 per hour as a bagger, earns $5.00 per hour as a stocker, and works 4 hours as a cashier -works 9 hours as a bagger -works 7 hours as a stocker.
First, find the amount of money earned in the week while working as a cashier. We know from the information we picked out that Surge works $7.00 per hour as a cashier and he works 4 hours that week. Therefore, we need to multiply the amount of money made per hour by the number of hours worked in a week.:
$7.00/hr x 4 hrs=$28.00 made as a cashier
Next, find the amount of money Surge made as a bagger. Do the same thing as you did with the cashier calculations, except that this time, he earns $6.00 per hour and he works 9 hours as a bagger.:
$6.00/hr x 9 hrs=$54.00 made as a bagger
Then, find the amount of money made as a stocker. It's the same as everything else, just that Surge now earns $5.00 per hour and he works 7 hours as a stocker. So, do the last set of multiplication:
$5.00/hr x 7hrs=$35.00 made as a stocker.
Finally, the question asks for the average amount of money made per week, so add up all your calculations to get that average amount:
$28.00+$54.00+$35.00=$117.00
Therefore, the serge average pay per hour will be $117.00.
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