Damon treated his sister to lunch while visiting her in Weston. Thier lunch cost $40, and the sales tax in Weston is 15%. If Damon left a 20% tip on the $40, how much in total did he pay?
Given:
Cost of lunch = $40
Rate of sales tax = 15%
Rate of tip = 20% on $40.
To find:
The amount Damon pay.
Solution:
We have,
Cost of lunch = $40
Rate of sales tax = 15%
[tex]\text{Sales tax}=\dfrac{15}{100}\times 40[/tex]
[tex]\text{Sales tax}=6[/tex]
Rate of tip = 20% on $40
[tex]\text{Tip}=\dfrac{20}{100}\times 40[/tex]
[tex]\text{Tip}=8[/tex]
Now,
Total amount = Amount + Sales tax + Tip
= [tex]40+6+8[/tex]
= [tex]54[/tex]
Therefore, Damon pays total $54.
c = grocery store charges
Tax is 8% added to the charges.
Which expression shows the total charges with tax?
A. 1.8c
B. 1.08c
The total charge with tax will be 1.08c.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Grocery store charges = c
And, Tax is 8% added to the charges.
Now,
Since, Tax is 8% added to the charges.
Hence, The total charge with tax = c + 8% of c
= c + 8/100 × c
= c + 0.08c
= 1.08c
Thus, The total charge with tax = 1.08c.
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Please help, pic attached!
Answer:
(y − 9) (y − 2)
Step-by-step explanation:
Factor y^2 − 11y + 18 using the AC method.
(y − 9) (y − 2)
The “AC” method or factoring by grouping is a technique used to factor trinomials. A trinomial is a mathematical expression that consists of three terms.
Use the rules of significant figures to simplify the following expression: 47.2 - 6
Answer:
41.2
Step-by-step explanation:
Mortgage loan of $46,000.00.
Interest rate is 5 percent.
Monthly payment is $269.10.
How much of the first monthly payment is for interest?
Answer: $191.67
Step-by-step explanation:
When paying back mortgages, the monthly payment has two components: an interest payment component and a principal repayment component.
The interest payment component is based on the total amount of debt still to be paid at the time and the principal repayment component is the rest of the payment after the interest has been deducted.
This interest is in a yearly rate so should be combined to a monthly rate as the payments are monthly:
= 5% / 12
= 5/12%
Interest = Mortgage remaining * interest rate
= 46,000 * 5/12%
= $191.67
Simple question for everyone
What shape figure is this?
Answer:
It's a parallelogram
Answer: Rhombus or a Parallelogram
I NEED THIS ASAP!!!! PLZ HELP!!!!! 25 POINTS!!!
Answer: B
Step-by-step explanation:
Write an equation of the line with the given slope and y-intercept. slope: -3 y-intercept: -6
Answer:
The equation of line with slope: -3 and y-intercept: -6 is [tex]\mathbf{y=-3x-6}[/tex]
Step-by-step explanation:
We need to write an equation of the line with the given slope and y-intercept. slope: -3 ,y-intercept: -6
The general equation for slope-intercept form is: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
We are given in the question:
slope: -3 y-intercept: -6
So, we have slope m = -3 and y-intercept b = -6
Putting values in the slope-intercept form equation:
[tex]y=mx+b\\y=-3x-6[/tex]
So, The equation of line with slope: -3 and y-intercept: -6 is [tex]\mathbf{y=-3x-6}[/tex]
x/12 + 1/3 =-5/3
What is the answer
Answer:
no
Step-by-step explanation:
no
Answer: x = -24
Step-by-step explanation:
1. (12) x/12 + (12) 1/3 = (12) -5/3 (multiply both sides of the equation by 12)
2. x + 4 = -20
3. x = -20 - 4 (move the constant to the right by subtracting 4 on both sides)
4. x = -20 - 4
5. x = -24 (add the numbers together)
Find the solution set of the inequality
Can you help please?
12-6x > 24
Answer:
x < -2
Step-by-step explanation:
Hey there!
The answer to your question is [tex]x < -2[/tex]
Tip: Remember to flip the inequality signs when you multiply/divide by a negative number!
[tex]12 - 6x > 24[/tex]
[tex]-6x > 12[/tex] (Subtract 12 from both sides)
[tex]x < -2[/tex] (Divide both sides by -6)
Hope it helps and have a great day!
please someone help that all I need I am giving away ten points I really need help
Regular tickets cost 34.50 and vip tickets cost 78.50 a total of 810 tickets were sold, and a total ticket sales were 29,045. The equation 34.50r + 78.50 (810-r)= 29,045 can be used to determine the number of regular tickets r sold to the concert. How many of each type of ticket were sold?
Answer:Number of regular tickets=785
Number of VIP tickets=25
Step-by-step explanation:
Step 1
Cost of Regular tickets=34.50
Costs VIP tickets =78.50
Total tickets sold =810
Cost of both rockets sold=29,045
Using the the given equation that 34.50r + 78.50 (810-r)= 29,045 to determine the number of regular tickets, we have that
Step 2---Solving
34.50r + 78.50 (810-r)= 29,045
34.50+63,585 - 78.50r=29,045
63585-29045=78.50r-34.50r
34,540=44r
r=34540/44
r=785=Number of regular tickets
Number of regular tickets+Number of VIP tickets =810
Number of VIP tickets=810-785=25
What is the y-coordinate in the solution for the system of linear equations below?
5х-2y=4
3x-4y=-6
у = 2
у = - 2
у = 3
у = - 3
Answer: 3
Step-by-step explanation:
The coordinate answer to the system of equations is (2, 3), which means that the x value is 2, and the y value is 3
PLEASEEEEEEEEEEEE HELPPPPP BRAINLIEST
Answer:
A≈527.79
Step-by-step explanation:
A=2πrh+2πr2
Brainly plss
Determine whether each equation represents a linear or non linear function, help me plzz
y=3x
y=4x-1
y=x²+1
y=0.75x+2
y=0.5x³
Answer:
y=3x - Linear Function
y=4x-1 - Linear Function
y=x²+1 - Non-Linear Function
y=0.75x+2 - Linear Function
y=0.5x³ - Non-Linear Function
(For a function to be linear, both x & y must equal 1.)
Pls AWNSER these 4 questions ! Thanks so much ( link ) :)
Answer:
Slope intercept form is y = mx + b
Step-by-step explanation:
Your welcome
Write an equation for the linear function f with values f(6) = -4 and f(9) =-9.
A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
Complete question :
A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming
Which statement best describes the depth of the fish
From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.
From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.
From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.
From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.
Answer:
From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.
Step-by-step explanation:
Given the equation :
y = - 7x - 3
y = depth of fish in meters ; x = Number of seconds fish has been swimming
From the equation ; which is written according to the slope - intercept equation, ; y = mx + c
The slope, m = - 7 is the rate of change in y per unit of x
c = intercept, constant, value of y when x = 0
Hence, the true statement in the equation is :
-7 represents descent and meams fish descents at a rate of 7 m per second
At x = 0, the fish is at a depth of 3 m
someone help pls asap
Answer:
[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} + 2[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \sqrt[3]{12x +1} + 4[/tex]
[tex]g(x) = log(x-3)+6[/tex]
Required
Determine (g - f)(x)
In functions:
[tex](g - f)(x) = g(x) - f(x)[/tex]
So, we have:
[tex](g - f)(x) = log(x-3)+6 - (\sqrt[3]{12x +1} + 4)[/tex]
Open bracket
[tex](g - f)(x) = log(x-3)+6 - \sqrt[3]{12x +1} - 4[/tex]
Collect Like Terms
[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} - 4+6[/tex]
[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} + 2[/tex]
Answer:
[tex]→(g - f)(x) = g(x) - f(x) \\ → (log(x - 3) + 6) - (\sqrt[3]{12x + 1} + 4) \\→ log(x - 3) + 6 - \sqrt[3]{12x + 1} - 4 \\→\boxed{ log(x - 3) - \sqrt[3]{12x + 1} + 2}✓[/tex]
D. is the right answer.Please help me this is due today
Answer:
1. 15 (A)
2. 12 (G)
Step-by-step explanation:
1. We can make an equation out of this...
3x+3=48
x is the age of Geoff which is what we are trying to find out
We have to add 3 to both sides of the equation
3x+3=48
-3 -3
________
we end up with 3x=45
we then have to divide 3 by both sides because its the opposite of
multipling
3x=45
_____
3
we get x=15
2. We can write a problem statement
(2 x 9)-6=?
multiply 2 and 9 FIRST
18-6=?
your answer is 12
Your Welcome! Have a great rest of your day! :)
help! giving out extra points and brainlist ☀️
Answer:
Slope is: 2/10x
Y-intercept is: (0,2)
Equation: y=2/10x+2
Step-by-step explanation:
OK
Julie made $29 washing cars. This is $11 less than twice the amount
Julie made. How much money did Julie make?
Answer:
uhhhh 19$
Step-by-step explanation:cuz
Answer:
$20
Step-by-step explanation:
29 + 11 = 40
40 ÷ 2 = 20
Extending answer to be able to send.
Please help me, Evaluate [4 - (5 - 7(6 - 5) + 7)] + 4
Answer:
3
Step-by-step explanation:
1st step: (6-5) = 1; you now have:
[4 - 5 - 7(1) + 7)] + 4
2nd step: 7(1) = 7; you now have:
[4 - (5 - 7 + 7)] + 4
3rd step: 5 - 7 + 7 = 5; you now have:
[4 - 5] + 4, which is (-1 + 4) which equals 3
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{[4 - (5 - 7(6 - 5) + 7)] + 4}[/tex]
[tex]\huge\textsf{6 - 5 = \bf 1}[/tex]
[tex]\huge\textsf{4 - (5 - (7)(1) + 7) + 4}[/tex]
[tex]\huge\textsf{7(1) = \bf 7}[/tex]
[tex]\huge\textsf{4 - (5 - 7 + 7) + 4}[/tex]
[tex]\huge\textsf{5 - 7 = \bf -2}[/tex]
[tex]\huge\textsf{4 - (-2 + 7) + 4}[/tex]
[tex]\huge\textsf{4 - 5 + 4}[/tex]
[tex]\huge\textsf{4 - 5 = \bf -1}[/tex]
[tex]\huge\textsf{-1 + 4}[/tex]
[tex]\huge\textsf{= \bf 3}[/tex]
[tex]\boxed{\boxed{\huge\textsf{{Therefore, your ANSWER is: 3}}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
I need to know the graph points and how to graph it ASAP
Answer: for the first one it's the first picture and the second equation is the second picture
Step-by-step explanation: the pictures
the first one's coordinates are : (-0.4, -1)
the second one's coordinates are: (2,-6)
they are both dotted lines
Someone help me please! I have to turn this in 35 minutes
Answer:
I don't remember this well but I can tell you that they are corresponding angles. When there is a line that cuts two that are vertical and the angles are on the same side, they are as you see them, corresponding.
please marking brainlist 3+9y+2=
Answer:
It’s 14 due to the formules used
NEED HELP IMMEDIATELY 80 students in 7th grade 150 students in 8th grade She found that 80% of the 7th graders like country music, while only 60% of the 8th graders like it. Which grade has more students who like country music? The number of 7th graders that like country music are students. The number of 8th graders that like country music are students.
Answer:
48
Step-by-step explanation:
80 over 100*150
80 divided by 100=0.8 *150=1208student
0.8 *60 = 48
NEED HELP ASAP YOU WILL GET BRAINLIST.
Answer:
1 -90 degrees
2-8in
3-16in
Step-by-step explanation:
1. 90 degrees
2. MB=8 inches
3. AC=16 inches
WILL MARK YOU BRAINLIEST
Which of the following equations best represents the line of best fit for the data in the scatterplot?
Answer:
the answer is b bc the line is positive
Step-by-step explanation:
The equation that best represents the line of best fit is -
y = (1/2)x - 1
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the line of best fit for the data in the scatterplot.
The line passes through the points -
(0, - 1) and (2, 0).
Then, the slope will be -
m = 1/2
and the [y] - intercept is -1. So the equation that best represents the line of best fit is -
y = (1/2)x - 1
Therefore, the equation that best represents the line of best fit is -
y = (1/2)x - 1
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