Step-by-step explanation:
they way it is written, she has one of the best paying jobs in the world : $1470 per hour ...
but I guess it is really $14.70 per hour, right ?
that is then her basic wage : $14.70 per hour for 40 hours = 14.7 × 40 = $588.
her overtime rate is then 14.7×1.25 (one time and a quarter) = 18.375 ≈ $18.38
and she gets that rate for all hours beyond the basic 40 hours, so, 52-40 = 12 hours.
12×18.38 = $220.56
or if you need it totally precise
12×18.375 = $220.50
in total, her gross wage for that week is then
588 + 220.56 = $808.56
or totally precise with unrounded hourly rates
588 + 220.5 = $808.50
which would create a mean hourly rate
808.56/52 = $15.54923077... per hour ≈ $15.55 per hour
or
808.5/52 = $15.54807692... per hour ≈ $15.55 per hour
many payroll systems do the rounding of the hourly rates and then calculate the total amount (as the first option here). some others keep the full decimal positions in the calculation and then only round the total (as the second option here).
so, it is the question what your teacher expects here. I cannot tell from the description.
1/3x² + x+5/3x² = 1/9
HAHAHAHA......
Answer:
[tex]\huge \bf༆ Answer ༄[/tex]
Step-by-step explanation:
Let's solve for x ~
[tex] \sf \dfrac{1}{3} {x}^{2} + x + \dfrac{5}{3} {x}^{2} = \dfrac{1}{9} [/tex][tex] \sf \dfrac{(1 + 5)}{3} {x}^{2} + x = \dfrac{1}{9} [/tex][tex] \sf \dfrac{6}{3} {x}^{2} + x - \dfrac{1}{9} = 0[/tex][tex] \sf2 {x}^{2} + x - \dfrac{1}{9} = 0[/tex]Multiply each term with 9 on both sides of the equation
[tex] \sf(2 {x}^{2} \times 9) + (x \times9 ) - ( \dfrac{1}{9} \times 9 ) = 0 \times 9[/tex][tex] \sf18 {x}^{2} + 9x - 1 = 0[/tex]Now, let's use Quadratic formula to find its roots ~
[tex] \sf \dfrac{ - {b}^{} \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex]
where,
b is Coefficient of x = 9 a is Coefficient of x² = 18 c is the constant term = -1Let's find the roots ~
[tex] \sf \dfrac{ - 9 \pm \sqrt{(9 {}^{2}) - (4 \times 18 \times - 1) } }{2 \times 18} [/tex][tex] \sf \dfrac{ - 9 \pm \sqrt{81- ( - 72) } }{36} [/tex][tex] \sf \dfrac{ - 9 \pm \sqrt{81 + 72} }{36} [/tex][tex] \sf \dfrac{ - 9 \pm \sqrt{153} }{36} [/tex][tex] \sf \dfrac{ - 9 \pm 3\sqrt{17} }{36} [/tex][tex] \sf \dfrac{3( - 3 \pm \sqrt{17} )}{36}[/tex][tex] \sf \dfrac{ - 3 \pm \sqrt{17} }{12} [/tex]Therefore the value if x are ~
[tex] \sf \dfrac{ - 3 + \sqrt{17} }{12} \: \: and \: \: \sf \dfrac{ - 3 - \sqrt{17} }{12} [/tex]I hope it helps ~
additive inverse of −9x+3
Answer:
(3x−4) −(x−5)
Step-by-step explanation:
Answer:
The additive inverse of −9x + 3 is 9x - 3Step-by-step explanation:
All we need to do is multiply −9x + 3 by -1.=> -1(−9x + 3)=> 9x - 3Therefore, the additive inverse of −9x+3 is 9x - 3.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
What is the following expression?
3x2 + 5
1.monomial
2.binomial
3 neither
Answer:
Assuming the 2 in 3x2 is an exponent, then it is binomial.
Step-by-step explanation:
A binomial is an expression with two terms, in this case those two terms are 3x^2 and 5
Answer:
2.binomial
Step-by-step explanation:
3x2=1
5=2
so its a binomial
HELPPP ASAPPPPPPPPPPP
I can't see it can you retake the picture please so I can try to help if I know it?
expand and simplify 2(8x + 4y - 10)
[tex]2(8x + \\4y - 10)[/tex]
please help with my work
Answer:
F
Step-by-step explanation:
Domain is all x values that the graph passes through. Therefore, it starts at x=0 and ends at x=230 with no breaks so the domain is anywhere between 0 and 230.
who wants to help i really dont wanna do this question
Answer:
71
Step-by-step explanation:
(2x² = 2 × 5² = 2 × 25) + ([4x = 4 × 5 = 20] + 1)
(50) + (21) = 71
19. The passing marks in an examination is 40%. If Seema gets 130 marks, she fails by ups 2 marks. Find the total marks.
Given :-
Passing marks in an exam is 40% .Seema gets 130 marks and fails by 2 marks.To find :-
The maximum marks for the exam .Solution :-
According to the Question ,
[tex]\dashrightarrow[/tex] Passing marks = 40% .
[tex]\dashrightarrow[/tex] Seema's marks = 130 .
Let us take the maximum marks be x . Then ,
[tex]\dashrightarrow[/tex] Passing marks = 130 + 2
[tex]\dashrightarrow[/tex] Passing marks = 132
And , by question ,
[tex]\dashrightarrow[/tex] 40x/100 = 132
[tex]\dashrightarrow[/tex] x = 132 * 100/40
[tex]\dashrightarrow[/tex] x = 330
Hence the maximum marks for the exam is 330.
Given :
Passing marks in the examination = 40% . Marks obtained by Seema = 130 .So, Let us assume the maximum marks as x .
Also,
Passing marks = 132 [ ∵ Seema got 130 marks and she failed by 2 marks ]
According to the question :
[tex] \\ \tt : \implies\dfrac{40x}{100} = 132 \\ \\ \tt : \implies\dfrac{4 \cancel{0}x}{10 \cancel{0}} = 132 \\ \\ \: \: \: \tt \: : \implies 4x = 132 \times 10 \\ \\ \tt : \implies \: 4x = 1320 \\ \\ \tt : \implies \: x = \frac{1320}{4} \\ \\ \tt : \implies \: x = 330 \: \: \\ [/tex]
Hence, The total marks is 330 .
f(a)=2a+5
g(a)=a2-4
what is f(g(a))
What’s the slope intercept form?
At first I thought it was y=-4/3x+7 but it’s not. Pls help!
Answer:
y = - [tex]\frac{5}{4}[/tex] x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (4, 2) ← 2 points on the line
m = [tex]\frac{2-7}{4-0}[/tex] = [tex]\frac{-5}{4}[/tex] = - [tex]\frac{5}{4}[/tex]
The line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = - [tex]\frac{5}{4}[/tex] x + 7 ← equation of line
Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 68 km/h faster than the other. If the two planes are 5052 kilometers apart after 3 hours, what is the rate of each plane?
Step-by-step explanation:
the slower plane travels x km in 3 hours.
the faster plane travels x + 3×68 = x + 204 km in 3 hours.
x + x + 204 = 5052 km
2x = 4848 km
x = 2424 km (in 3 hours).
so, the slower plane's speed is 808 km/h.
the faster plane's speed is 808 + 68 = 876 km/h.
313 people were surveyed in total. 183 of the people surveyed are from East Harlem and 130 people are from the Upper East Side. What percent of people surveyed are from each neighborhood?
1. The percentage of people surveyed in East Harlem is 58.5%
2. The percentage of people surveyed in Upper East Side is 41.5%
From the question given above, the following data were obtained:
People surveyed in East Harlem = 183People surveyed in Upper East Side = 130Total people surveyed = 3131. Determination of the percentage of people surveyed in East Harlem.
People surveyed in East Harlem = 183Total people surveyed = 313Percentage of East Harlem =?Percentage of East Harlem = (people surveyed in East Harlem / Total) × 100
Percentage of East Harlem = (183/313) × 100
Percentage of East Harlem = 58.5%
2. Determination of the percentage of people surveyed in Upper East Side.
Percentage of East Harlem = 58.5%Total percentage = 100%Percentage of Upper East Side =?Percentage of Upper East Side = (Total percentage) – (Percentage of East Harlem)
Percentage of Upper East Side = 100 – 58.5
Percentage of Upper East Side = 41.5%
Learn more about percentage:
https://brainly.com/question/14899205
Which decimal is 5.764 round to the nearest hundredth
Answer: I think it's 6
Step-by-step explanation:
PLEASE HELP!!!!!! This is very important to me PLEASE HELP ASAP and if you help me god bless you
Answer:
try the 3rd one
Step-by-step explanation:
if it's not right then i'm sorry
Answer:
Below!
Step-by-step explanation:
The slope is un-defined because the x axis on both points are the same. Therefore, the slope is un-defined.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Find all the missing angles.
Please help
Kay is running a 13.5 km race. If she runs at a rate of 8 2/5 km/he for 1.5 hours, how many kilometers will she have left to run to finish the race?
The number of kilometers she will have left to run to finish the race is 0.9 km.
Given the following data:
Total distance = 13.5 kmSpeed = [tex]8\frac{2}{5} \;km/hr[/tex]Time = 1.5 hoursTo determine the number of kilometers she will have left to run to finish the race:
First of all, we would calculate the distance she has covered by using this formula;
[tex]Distance = speed \times time\\\\Distance = 8\frac{2}{5} \times 1.5\\\\Distance = \frac{42}{5} \times \frac{3}{2} \\\\Distance = \frac{63}{5}[/tex]
Distance = 12.6 meters.
For the distance left:
[tex]Distance\;left = Total\;distance - Distance\;covered\\\\Distance\;left =13.5 -12.6[/tex]
Distance left = 0.9 km.
Learn more about distance here: https://brainly.com/question/10545161
Make x the subject
5px+q^2=3c
Answer:
x=[tex]\frac{3c-q^2}{5p}[/tex]
Step-by-step explanation:
5px+q^2=3c
subtract q^2 from both sides
5px=(3c)-q^2
divide by 5p from both sides
x=[tex]\frac{3c-q^2}{5p}[/tex]
please help i dont understand
Answer:
[tex] \frac{ {y}^{2} }{4 {x}^{5} } [/tex]
seriously need helpp
solve similar triangles (advanced)
Answer:
x = 3/2
Step-by-step explanation:
ΔACB ≈ ΔAED due to hypotenuse-leg theorem
therefore, BC/BA = DE/AD
4/6 = 5/(x+6)
cross-multiply to get:
4(x+6) = 6(5)
4x + 24 = 30
4x = 6
x = 6/4 or 3/2
check:
4/6 = 5/7.5; the cross-products are both equal to 30
Find the percent change from the first value to the second. Tell if it a decrease or
increase.
36: 63______;_______
If it is sunny, then we will go fishing.
Choose the equivalent statement.
A. If we go fishing, then it is not sunny.
B. If we do not go fishing, then it is not sunny.
C. If we do not go fishing, then it is sunny.
Sean is drinking a slushy as fast as he can. The amount of slushy left in the cup (in milliliters) as a function of time (in seconds) is graphed. How long did it take Sean to finish the slushy?
______ seconds
Answer:
75 seconds
Step-by-step explanation:
The graph intersects the x axis at 75 seconds. That means y = 0, and y is the amount remaining (in ml).
After 75 seconds the amount of slushy left in the cup becomes zero the answer is 75 seconds.
What is a line graph?A line graph is a type of graph where the data points are connected by segments of straight lines.
We have a line graph shown in the picture.
Sean is drinking a slushy as fast as he can. The amount of slushy left in the cup (in milliliters) as a function of time (in seconds) is graphed.
As we can see the amount of slushy left in the cup is decreasing as the time increases.
At time = 75 seconds
The amount of slushy left in the cup = 0
Thus, after 75 seconds the amount of slushy left in the cup becomes zero the answer is 75 seconds.
Learn more about the line graph here:
brainly.com/question/23680294
#SPJ2
What are the answers to these?
A) -3
B) 5
C) -2
D)-6
i have to write 20 characters so sisiasskklsa
Answer:
a) -3
b)5
c)-2
d)-6
Step-by-step explanation:
4 - 7 =-3
4 is positive and 7 is negative
a positive minus a negative is equal to a negative
3 is negative and 8 is positive, but 8 is bigger than 3, so take the sign of the bigger number which is 8.
c) is the same as question b
same signs rule
a negative + a negative is = to negative
positive and a positive is = to a positive
a negative +/_ a positive = a negative
Paula caught a tarpon with a weight that was 10 times as great as the weight of a permit fish she caught. The total weight of the two fish was 154 pounds.
How much did each fish weigh?
The permit fish weighed _____ pounds.
The tarpon weighed ______ pounds.
Answer:
The weight of permit fish 140 pounds
The weight of Tarpon fish 14 pounds
Step-by-step explanation:
Let the weight of Tarpon fish ve 'x' Then by question weight of permit fish be '10x'
Now by question
x+10x=154 pounds
or,11x=154 pound
or,x=154pound/11
Therefore, x = 14 pounds
Again by question weight of permit fish
for 10x
by substituting value of x we have,
=10×14 pounds
=140 pounds
PLZ HELLLP 50 POINTS, WILL GIVE BRAINLY PLZZZZZZZZZZ
Modified organisms may contaminate the natural, wild populations.
Which genetic technique is the statement describing an ethical issue of?
stem cell research
gene therapy
transgenic organisms
cloning
Answer:
Transgenic Organism
My reasoning:
A transgenic organism is an organism which has been modified with genetic material from another species. The biggest use of transgenic organisms is for agriculture growth, the development of genetically modified crops.
They also research with transgenic mice. Mice can be modified with human DNA for the purpose of testing medical treatments and seeing how they might behave in a human.
Researchers are concerned though that interbreeding between transgenic and wild organisms could have unforeseen consequences and could reign havoc on our ecosystem.
~That's All Folks~
-Siascon
transgenic organisms is the answer
solve the equation. 2(3x-4)=3x+1
Answer:
x=3
Step-by-step explanation:
Which of the following is the contrapositive of the conditional below?
If 3 + 4 = 6, then 2 · 5 = 10.
If 2 · 5 = 10, then 3 + 4 = 6.
If 2 · 5 ≠ 10, then 3 + 4 ≠ 6.
If 3 + 4 ≠ 6, then 2 · 5 ≠ 10.
If 3 + 4 ≠ 6, then 2 · 5 = 10.
Answer:
If 3 + 4 ≠ 6, then 2 · 5 = 10.
Step-by-step explanation:
To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement. The contrapositive of "If it rains, then they cancel school" is "If they do not cancel school, then it does not rain." If p , then q .
Question 1
Part a) 9 Athletes are running the 200M event. How many ways can the first three finishers be awarded medals? Show your work using the Permutation or Combination formula for full credit.
Part b) You have 10 photos to arrange in an art gallery, where there are 5 spaces to place them. How many ways can they be arranged? Show your work using the Permutation or Combination formula for full credit.
Part c) Write an original word problem of your own creation that uses a combination and the numbers 8 and 4. Also state the solution. You may not use a pizza-themed scenario.
Using the permutation and the combination formula, we have that:
a) The first three finishers can be awarded medals in 504 ways.
b) They can be arranged in 252 ways.
c) In how many ways can 4 students form a team from a set of 8.
If the order is important, the permutation formula is used.If the order is not important, the combination formula is used.Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Permutation formula:
The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Item a:
Order is important, as the finishers are ranked, hence:
[tex]P_{(9,3)} = \frac{9!}{6!} = 504[/tex]
The first three finishers can be awarded medals in 504 ways.
Item b:
The order is not important, hence:
[tex]C_{10,5} = \frac{10!}{5!5!} = 252[/tex]
They can be arranged in 252 ways.
Item c:
Situation in which the order is not important, hence, for example, in how many ways can 4 students form a team from a set of 8.
For more on permutation/combination, you can take a look at https://brainly.com/question/25247153
Help Plz
Rewrite in simplest terms: 4(3d+7f)-5f-3(9f+3d)4(3d+7f)−5f−3(9f+3d)
Answer:
its easy
Look at the pictures.
Please mark brainlest
If you cant see the result is 24f+24d