Answer:
Add the repair cost and tax to get the total amount. Then multiply the total amount by 0.15 to find the gratuity.
Step-by-step explanation:
This is sample response
The gratuity for the services provided is $190.8 if the Initial Repair Cost = $1,200, the Sales Tax of 6 percent = $72.00, and the Gratuity of 15 percent.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Brody had his computer repaired at Store A. His bill was:
Initial Repair Cost = $1,200
Sales Tax of 6 percent = $72.00
A gratuity of 15 percent
Total cost = 1200 + 72 = 1272
The gratuity for the services provided = 0.15x1272 = $190.8
Thus, the gratuity for the services provided is $190.8 if the Initial Repair Cost = $1,200, the Sales Tax of 6 percent = $72.00, and the Gratuity of 15 percent.
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Jace is working two summer jobs, making $18 per hour lifeguarding and
making $10 per hour washing cars. In a given week, he can work a maximum
of 13 total hours and must earn no less than $170. If x represents the number
of hours lifeguarding and y represents the number of hours washing cars,
write and solve a system of inequalities graphically and determine one
possible solution.
Answer:
One possible solution is Jace spends 5 hours lifeguarding and 8 hours washing cars
Step-by-step explanation:
The parameters of the two summer jobs Jace is working are;
The amount Jace makes for Lifeguarding = $18 per hour
The amount Jace makes for washing cars = $10 per hour
The number of hours he can work a week ≤ 13 hours
The amount he must earn in a ≥ $170
Whereby we have;
x = The number of hours Jace spends lifeguarding
y = The number of hours Jace spends washing cars
The system of inequalities are;
x × 18 + y × 10 ≥ 170
x + y ≤ 13
Making y the subject of the formula of both inequalities gives;
For the first inequality, we have;
x × 18 + y × 10 ≥ 170
10·y ≥ 170 - 18·x
y ≥ 170/10 - 18/10·x
y ≥ 17 - 1.8·x
For the second inequality, we have;
x + y ≤ 13
y ≤ 13 - x
Graphing both inequalities is drawn using Microsoft Excel
Equating both inequalities, given in relation to the y-values, the point where the two lines representing both inequalities meet is given as follows;
17 - 1.8·x = 13 - x
17 - 13 = 1.8·x - x
4 = 0.8·x
x = 4/0.8 = 5
y ≤ 13 - x gives;
y ≤ 13 - 5
y ≤ 8
Given that both relationships are either ≤ or ≥, we have the point where both inequalities meet is one possible solution
Therefore;
One possible solution is x = 5 hours, y = 8 hours
The number of hours Jace spends lifeguarding = x = 5 hours
The number of hours Jace spends washing cars = y = 8 hours.
help me please 20 points
Answer:
- 8n + 9
Step-by-step explanation:
A - B
= - 3n + 2 - (5n - 7) ← distribute by - 1
= - 3n + 2 - 5n + 7 ← collect like terms
= - 8n + 9 → or 9 - 8n
Is the equation y= -x+ 5 linear?
Answer:
No.
Step-by-step explanation:
A linear equation simplified should become y=mx+b.
I will give brainliest!!
Please help
s/-4 = 6
what is the value of s?
Answer:
s = −24
Step-by-step explanation:
Step 1 : Move the negative sign to the left.
[tex]-\frac{s}{4} =6[/tex]
Step 2 : Multiply both sides by 4.
−s = 6 × 4
Step 3 : Simplify 6 × 4 to 24.
−s = 24
Step 4 : Multiply both sides by −1.
s = −24
Solve using Elimination
3x+y=-9
y=5x+7
Answer
x=-2 and y=-3
Step-by-step explanation:
Step: Solvey=5x+7for y:
Step: Substitute5x+7 for y in 3x+y=−9:
3x+y=−9
3x+5x+7=−9
8x+7=−9(Simplify both sides of the equation)
8x+7+−7=−9+−7(Add -7 to both sides)
8x=−16
8x/8=−16/8
(Divide both sides by 8)
x=−2
Step: Substitute−2 for x in y=5x+7:
y=5x+7
y=(5)(−2)+7
y=−3(Simplify both sides of the equation)
Write the following statement
as a conditional statement.
Stars have ten vertices.
If a figure is a star. then it has ten vertices
If figure has ten vertices. then it is a star.
A figure is a star. If and only if it has ten vertices
Star are figures with en vence:
Answer:
if a figure has ten vertices then it is a star
Ansha drove 45 MPH (miles per hour). How far can she go in 3 hours?
Answer:
135 miles
Step-by-step explanation:
45 mph means if you steadily go 45 mph for an hour you will have traveled 45 miles. Therefore you multiply your speed by time (45*3) which gives you 135 miles.
add 2/3 +-7/11 +-1/4
Answer:
1 73/132
Step-by-step explanation:
GCF of 4, 11 and 3 is 132.
Convert the fractions and add!
Timothy has $500. He spends $50 each week on
groceries. Write an equation to find the total amount
of money he has left, y, after x weeks have passed.
Answer:
It takes 10 weeks to spend each $500
Step-by-step explanation:
If he spend $50 each week on groceries, we can say that he spend $100 on groceries every two weeks
To make it to 500 dollars we would have to use the equation 100x5.
This equals to 500
We could also do 100 plus 100 plus 100 plus 100 plus 100.
Ludmilla Pavel is paid a commission on all sales over $3,000 a week. Last week she earned a commission
of $420 on sales of $16,000. What rate of commission was she paid to the nearest tenth percent
Answer:
Since she sold $16,000, she earned commission on $13,000 of it.
So she earned $420 from $13,000
420/13000 = 0.0323 which is 3.23% or 3.2% to the nearest tenth %
10
Step-by-step explanation:
Answer:
3.23% or 3.2% to the nearest tenth %
Step-by-step explanation:
Since she sold $16,000, she earned commission on $13,000 of it. So she earned $420 from $13,000. 420/13000 = 0.0323 which is 3.23% or 3.2% to the nearest tenth %
8300 dollars is placed in an account with an annual interest rate of 6.5%. How much will be in the account after 14 years , to the nearest cent?
Answer:
bruh
Step-by-step explanation:
42
i am in doubt in this task
Answer:
zoomMeeting ID: 8570913589 Passcode: K58Ech
Explanation:
NO FACE SHOWING N^de ZOOM
Step-by-step explanation:
Two linear functions are shown below. Which function has the greater rate of change? Function A: 4 8 12. y 1 2 3 4 Function B: y= 0.75x - 2
Answer:
Function B
Step-by-step explanation:
✍️Rate of change for Function A:
Using any two pairs from the table of values given, say, (0, 1) and (4, 2):
Rate of change = [tex] \frac{y_2 - y_1}{x_2 -x_1} = \frac{2 - 1}{4 - 0} = \frac{1}{4} [/tex]
Rate of change for function A = ¼ = 0.25
✍️Rate of change for Function B:
Equation for Function B is given in the slope-intercept format, y = mx + b.
m = slope = rate of change.
Therefore, the function, y = 0.75x - 2 has a rate of change of 0.75.
Rate of change of Function B = 0.75.
✅0.75 if greater than 0.25, therefore, Function B has the greater rate of change.
The function which has a greater rate of change or slope is required.
Function B has a greater rate of change.
Rate of change is given by
[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]
The ordered pairs for the first function are
[tex](0,1),(4,2),(8,3),(12,4)[/tex]
Slope
[tex]m=\dfrac{2-1}{4-0}=\dfrac{1}{4}=0.25[/tex]
Since, it is a linear equation the slope will be equal for all ordered pairs.
The point slope form of a line is
[tex]y=mx+c[/tex]
where
m = Slope or rate of change
c = y intercept
Here, the equation is
[tex]y=0.75x-2[/tex]
The slope is 0.75.
Function B has a greater rate of change.
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A survey found that 60% of shoppers at My-Way-Store like chocolate ice cream. If 240 boppers like chocolate ice cream, how many people were surveyed?
Answer:
400
Step-by-step explanation:
240/60=4, meaning 4 people per every percentage. Which when 4 is multiplied by 100, you get 400=100%
Answer:
400
Step-by-step explanation:
60/100 = 240/?
Bat and Ball ( when do proportional table make a x like shape between/through each number. The number going diagainal multiplies, number next to number is used to divide the product of the diagainal numbers.)
240 x 100 = 24,000
24,000 divided 60 = 400
400 were survreyed
Layla has a toy car collection of 400 toy cars. She keeps 85% of the toy cars on her wall. How many toy cars does she keep on her wall?
Answer:
340 cars on her wall
( Brainlyst will help my rank, thanks! <3 )
Una escalera de 131313 metros está recargada contra una pared cuando su base empieza a resbalar. Cuando la base está a 121212 metros de la pared, se mueve a una razón de 5\text{ m/s}5 m/s5, start text, space, m, slash, s, end text. En ese momento, ¿a qué razón está cambiando el ángulo \thetaθtheta entre el piso y la escalera?
Answer:
El ángulo entre el piso y la escalera está cambiando a una razón de -1 radian por segundo.
Step-by-step explanation:
Sea [tex]x[/tex] la distancia horizontal entre la pared y la base de la escalera y [tex]l[/tex] la longitud de la escalera, medidas en metros. Además, tenemos que [tex]\theta[/tex] es el ángulo entre la escalera y el piso, medido en radianes.
Si la pared y el piso son ortogonales entre sí, entonces podemos utilizar la siguiente relación trigonométrica que relaciona las variables anteriores:
[tex]\cos \theta = \frac{x}{l}[/tex] (1)
Por diferenciación implícita y la definición de razón de cambio tenemos que:
[tex]-\sin \theta \,\dot \theta = \frac{\dot x}{l}[/tex] (2)
Donde:
[tex]\dot x[/tex] - Razón de cambio de la distancia horizontal entre la pared y la base de la escalera, medida en metros por segundo.
[tex]\dot \theta[/tex] - Razón de cambio del ángulo entre el piso y la escalera, medida en radianes por segundo.
Pero tenemos que el seno del ángulo está definido por:
[tex]\sin \theta = \frac{\sqrt{l^{2}-x^{2}}}{l}[/tex] (3)
Si aplicamos (3) en (2), expandimos la ecuación como sigue:
[tex]-\frac{\sqrt{l^{2}-x^{2}}}{l}\,\dot \theta = \frac{\dot x}{l}[/tex]
[tex]\dot \theta = - \frac{\dot x}{\sqrt{l^{2}-x^{2}}}[/tex] (4)
Si tenemos que [tex]\dot x = 5\,\frac{m}{s}[/tex], [tex]l = 13\,m[/tex] y [tex]x = 12\,m[/tex], entonces la razón de cambio del ángulo es:
[tex]\dot \theta = -\frac{\left(5\,\frac{m}{s} \right)}{\sqrt{(13\,m)^{2}-(12\,m)^{2}}}[/tex]
[tex]\dot \theta \approx -1\,\frac{rad}{s}[/tex]
El ángulo entre el piso y la escalera está cambiando a una razón de -1 radian por segundo.
5x - ( 4x - 1) = 2
a. 1/9
b. -1
c. - 1/9
d. 1
Answer:
D. 1
Step-by-step explanation:
Distribute the -1
5x - 4x +1 = 2
1x = 1
x=1
the sum of 1 and 3 times a number is 22. write and solve and equation to determine the number. select the solution and graph that represents the number
a) x=4
b) x=6
c) x=7
d) x=9
Answer:
b
Step-by-step explanation:
If the sum of 1 and 3 times a number is 22, then x=7 is the solution and graph that represents the number
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
The sum of 1 and 3 times a number is 22.
Let the unknown number be x
1+3x=22
Now subtract 1 from both the sides
1+3x-1=22-1
3x=21
Divide both sides by 3
x=7
So the solution of sentence sum of 1 and 3 times a number is 22 is 7.
x=7 is the equation of graph that represents the number
Hence x=7 is the equation of graph that represents the number
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Which point represents the quotient of 3-1?
A
B
C
D
The point that represents the quotient [tex]\frac{3 - i}{i}[/tex] is (C)
The quotient is given as:
[tex]Quotient = \frac{3 - i}{i}[/tex]
Rationalize the expression
[tex]Quotient = \frac{3 - i}{i} \times \frac ii[/tex]
Expand the above expression
[tex]Quotient = \frac{3i - i^2}{i^2}[/tex]
Evaluate all exponents
[tex]Quotient = \frac{3i - (-1)}{-1}[/tex]
Remove bracket
[tex]Quotient = \frac{3i +1}{-1}[/tex]
Rewrite the above expression as follows:
[tex]Quotient = -3i -1[/tex]
Further, rewrite as:
[tex]Quotient = -1-3i[/tex]
In the above expression, the real part is -1, and the imaginary part is -3.
This point is represented by point C, because:
[tex]C = (-1,-3)[/tex]
Hence, the point that represents the quotient [tex]\frac{3 - i}{i}[/tex] is (C)
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Which event prevented Descartes from publishing The World after he was done writing the book? serving as a soldier during the Thirty Years’ War accepting an invitation to tutor the queen of Sweden awaking from sleep due to three vivid dreams learning of Galileo’s imprisonment
Answer:
Learning of Galileo’s imprisonment
Step-by-step explanation:
I just went over this last week and i am 100% sure that this is correct
What is the value of the expression below?
8 *divide* 2 + 6x5
Answer:
34
Step-by-step explanation:
8/2 = 4
6 times 5 = 30
30 + 4 = 34
Given g ( x ) = 2 x + 3 , solve for x when g(x)=3.
Answer:
x = 0
Step by step explanation:
g ( x ) = 2x + 3
If x = 0,
g ( 0 ) = 2 (0) + 3
or, g ( 0 ) = 3
Hope that helped :)
A snack bar at an outdoor fair is open from 10 A.M. To 5:30 P.M. And has 468 bottles of water for sale. Sales average 1.3 bottles of water per minute.
Answer:
the question is incomplete, so I looked for similar ones
the number of bottles of water remaining as a function of time:
f(x) = -78x + 468
1.3 bottles are sold per minute x 60 minutes per hour = 78 bottles per hour
x = number of hours
the slope is -78
the y intercept is 468
domain = 0 ≤ x ≤ 7.5 hours (from 10 AM to 5:30 PM)
range = 0 ≤ y ≤ 468 bottles
the snack will run out of bottles of water by 4 PM
78x = 468
x = 468 / 78 = 6 hours
if the snack wants to have enough bottles of water to serve all its customers, it will need:
78 x 7.5 hours = 585 bottles of water
A train travels 200 miles in 5 hours. How far does the train travel in 3 hours
Answer:
120 miles
Step-by-step explanation:
200/5 = 40 miles per hour
3 hours = 40*3 = 120 miles
PLS GIVE BRAINLIEST
y=x
y= 11x-10
simultaneous equation
Answer:
y = 1
x = 1
Step-by-step explanation:
If y = x
Replace x with y
y = 11y - 10
y - 11y = -10
-10y = -10
y = 1
Hope this helps!
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Whoever gets it right gets Brainliest!
Answer:
16
Step-by-step explanation:
f(x)=3x^(2)+2x,g(x)=5x-12, find f(2)= 16
(PLEASE ANSWER!!!) The equation 6x = y is proportional. True or false?
The equation 6x + 8 = y is proportional. True or false?
Answer:
No, it is not proportional
Step-by-step explanation:
2. Function C takes time for its input and gives a student's Monday class for its output.
a. Use function notation to represent: A student has English at 10:00.
b. Write a statement to describe the meaning of C(11:15) = chemistry.
Answer:
We know that C(T) is a function where you input the time T, and the output will be the student's Monday class.
a) A student has English at 10:00.
Here we can use T = 10:00 as the input, and the output will be the class, English.
Then this can represent this with:
C(10:00) = English.
b) Write a statement to describe the meaning of C(11:15) = chemistry.
for C(11:15) = Chemistry
The input, the time, is 11:15
The output, the class, is chemistry.
The student has a chemistry class at 11:15
How much larger is 10 7 than 10 3 What operation can we use?
Answer:
9,999,000
subtraction
Step-by-step explanation:
We can compare numbers using subtraction or division.
A question like "how much larger" usually means a comparison by subtraction. For example, how much larger is 10 than 8. Use subtraction: 10 - 8 = 2. Answer: 2.
A question like "how many times larger" usually means a comparison by division. For example, how many times larger is 30 than 5? Use division: 30/5 = 6. Answer: 6.
Here, the question is "how much larger" not "how many times larger," so we will compare with subtraction.
10^7 - 10^3 = 10,000,000 - 1,000 = 9,999,000
what is 8-2(2x +1) +5x PLS HELP ME
Answer:
6+x
Step-by-step explanation:
I used photo math have a great thanksgiving