==================================================
Work Shown:
x = amount of money collected before tax is added
3% = 3/100 = 0.03
3% of x = 0.03x = amount of tax
x + 0.03x = adding on tax to original amount
1.03x = amount after tax is added
1.03x = 2766.58
x = 2766.58/1.03
x = 2686 is the amount of money before the 3% sales tax is added
0.03x = 0.03*2686 = 80.58 is the amount of sales tax collected
As a check,
2686+80.58 = 2766.58
which confirms our answer
Answer:
Tax collected= $80.58
Step-by-step explanation:
Let's say that the amount he got from services was "x", and to that he had to add a 3% of sales tax.
Recall that 3% in math form is written as: 3/100 = 0.03
then, he had to include 0.03 times x to the "x" amount in hotel services:
x + 0.03 x = 2766.58
1.03 x = 27688.58
x = 27688.58/1.03
x= $2686
Then, the amount for the taxes is 3% of this which is:
0.03 * 2686 = $80.58
The sum of w and fourteen is five. What is the value of w?
Answer:
w=-9
Step-by-step explanation:
14-9=5, but this is addition, so you must do a negitive
-9+14=5
Cynthia Besch wants to buy a rug for a room that is 21 ft wide and 34 ft long. She wants to leave
a uniform strip of floor around the rug. She can afford to buy 338 square feet of carpeting. What
dimensions should the rug have?
Answer:
Dimensions of the rug = 13 ft × 26 ft
Step-by-step explanation:
Dimensions of the room = 21 ft × 34 ft
Area of the room = 21 × 34 = 714 ft²
Cynthia wants to leave a uniform strip of floor around the rug.
Let the width of the rug = x ft
Then the dimensions of the rug will be = (21- 2x)ft × (34 - 2x)ft
Area of the rug = (21 - 2x)×(34 - 2x) square feet
338 = (21 - 2x)×(34 - 2x)
338 = 714 - 68x - 42x + 4x²
4x² - 110x + 714 - 338 = 0
4x² - 110x + 376 = 0
2x² - 55x + 188 = 0
2x² - 47x - 8x + 188 = 0
x(2x - 47) - 8(x - 47) = 0
(x - 4)(2x - 47) = 0
x = 4, [tex]\frac{47}{2}[/tex]
For x = 23.5 area of the rug will be negative.
Therefore, x = 4 ft will be the width of the rug.
Dimensions of the rug will be 13 ft × 26 ft.
3e - 19-7e + 10 simplified?
Answer:
Answer:-4e-9
[tex]3e - 19 - 7e + 10[/tex]
Start by combining like terms. I put like terms in parentheses so you can see them, but they are not needed.
[tex] = (3e - 7e) + ( - 19 + 10)[/tex]
[tex] = - 4e - 9[/tex]
That's it.
heeeeeeeeeeeeeeeeelllllpppppppppppp
Answer:
b = 6
I hope this helps!
Write an inequality for Five dollars less than two times Chris' pay is at most
$124
Answer: 2x -5 less than or equal to 124
Which of the following statements are true about this graph? Check all that apply. The three points do not form a straight line. The three points form a straight line. The graph passes through the origin. The graph does not pass through the origin. The graph shows a proportional relationship. The graph does not a show a proportional relationship.
Answer:
B,D,F
Step-by-step explanation:
I got it correct on edge
Which of the following provides an object with rotational symmetry?
Answer: Choice C) Star shaped symbol
We can rotate the star symbol 90 degrees to have it line up with its original image. The before and after images would be identical after doing such a rotation. So this figure has rotational symmetry.
The other figures would change if we rotated them some angle x such that [tex]0 < x < 360[/tex], so they do not have rotational symmetry.
Solve for the linear equation 3x+2+x=x+5 please show work
Answer:
3x +2 +X = X+5
4x + 2 = X + 5
3x = 3
X = 1
Step-by-step explanation:
brain list me plzzz I need it
x = 1
Step-by-step explanation:3x + 2 + x = x + 5
3x + x - x = 5 - 2
3x = 3
x = 3 : 3
x = 1
by selling a camera for $2400, ron loses 4%.At what price should he sell it to gain 12%.
Answer: $ 2800
Step-by-step explanation:
2400 is 96% of the initial price of camera which is 2400/0.96 =$2500
Now to gain 12% profit the camera should be sold at 2500+ .12*2500=$2800
Distance between (-4.9(-5.3)
Use the distance formula to determine the distance between two points.
√ 37
1. FIND THE EQUATION OF THE LINE THAT PASSES THROUGH THE GIVEN POINT (1,2) AND (-1,5)
2. WHAT IS THE EQUATION OF A LINE THAT PASSES THROUGH POINTS (-0.72, 1.42) and (4.22, 5.83)
Please help :(
Answer:
slope: (y₂ - y₁) / (x₂ - x₁)
(5 - 2) / (-1 - 1) = 3/-2 = -3/2
y = -3/2x + b
5 = -3/2(-1) + b
5 = 3/2 + b
b = 3.5
y = -3/2x - 7/2
(5.83 - 1.42) / (4.22 + 0.72) = 4.41/4.94
y = 4.41/4.94x + b
5.83 = (4.41/4.94)(4.22) + b
5.83 = 3.76724696 + b
b = 2.06275304
y = 4.41/4.94x + 2.06
(the numbers are really wacky so i hope thats right, so sorry if it isn't)
While on beach vacation, tasha makes scale drawing of points of intererest between priers on her drawing 2 cm represents 15 MI the priers are 12 cm apart on tashas drawing. What is the actual distnace between 2 priers
Answer:
Actual distance between the 2 priers = 90 MI
Step-by-step explanation:
Ratio of Scaled drawing to actual dimension = 2 : 15
2 cm represents 15MI
2cm ≡ 15 MI
∴ 1 cm ≡ (15/2) MI
1 cm ≡ 7.5 MI
scaled distance of priers in drawing = 12cm
∴ 12 cm ≡ 7.5 × 12
= 90 MI
∴ Actual distance between the 2 priers = 90 MI
Represent 3kg 9gm using decimals
Answer:
3.009
Step-by-step explanation:
1 Kg is 1000 grams therefore
3 kg 9 g is
3.009
hope this helps you
jndxihdhwquihxois2njknz'oqwjskzlnzljx
Answer:
Yjtccjtchtcychy
Step-by-step explanation:
30 POINTS!!!!!!!!PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY IM JUST DUMB!! The graph represents the equation 2 + 2 = 8. Use this graph to answer questions 6, 7, and 8. PART A) Look at the graph of the equation 2 + 2 = 8. Give its domain and range. PART B) Use algebraic means to show that 2 + 2 = 8 is not a function. Explain your process.
Answer:
See below.
Step-by-step explanation:
So we have the graph of:
[tex]x^2+y^2=8[/tex]
As given, the graph is a circle with a radius of 2√2 and a center of (0,0)
Part 1)
The domain of a function is the span of x-values it covers and the range of a function is the span of y-values it covers.
From the graph, we can see that the x-values the graph covers goes from -2√2 to +2√2. The graph includes these values.
Thus, the domain is, in interval notation:
[tex][-2\sqrt2,2\sqrt2][/tex]
From the graph, we can see that the y-values the graph covers also goes from -2√2 to 2√2.
Therefore, like the domain, the range in interval notation is:
[tex][-2\sqrt2,2\sqrt2][/tex]
Part 2:
First of all, we can use the vertical line test to prove that the graph is indeed not a function.
Algebraically, we have to do some more.
First, recall what it means when an equation is not a function. It means that one x maps onto two or more ys.
In other words, to prove that the equation is not a function, we can substitute an x for a value and solve for y.
For instance, let's use 0 for x (and 0 is within the domain). Thus:
[tex]x^2+y^2=8\\(0)^2+y^2=8[/tex]
Simplify:
[tex]y^2=8[/tex]
Take the square root of both sides:
[tex]y=\pm\sqrt8\\y=\pm2\sqrt2[/tex]
In other words, when x is 0, y can be either -2√2 or 2√2. So we have two different y-values with the same x-coordinate.
[tex](0,-2\sqrt2)(0,2\sqrt2)[/tex]
Therefore, the equation is not a function.
To find the distance between (17,3) and (17,−5), Marcia used the following equation. Is Marcia correct? Explain. D=|3−(−5)|=8
Answer:
Step-by-step explanation:
The formula for finding the distance between two points is expressed as shown
D = √(x₂-x₁)²+(y₂-y₁)²
Given the coordinate (17,3) and (17,−5), from the coordinates x₁ = 17, y₁ = 3, x₂ = 17 and y₂ = -5.Substituting the values given into the formula;
D = √(17-17)²+(-5-3)²
D = √0²+(-8)²
D = √64
D = 8
According to the result gotten, it can concluded that Marcia is correct although she didn't use the right expression to calculate her distance. She should have taken the square root of the sum of the square of difference in the coordinates axis according to the formula used.
Solve the following three equations.
Equation #1 60 = 6(6 – 2n)
Equation #2 5x + 7 + 3x = -8 + 3x
Equation #3 3(1 + 4v) – 2(5v- 3) = 25
and add explanation please.
Answer:
#1 : -2=n
#2: x=-3
#3: v=8
Step-by-step explanation:
the pictures are the explination
i hope they help
sorry if they dont
im a bad explainer
Rodney rented a machine for $70.00 to make popcorn at a school event. In addition to the machine rental cost, the popcorn supplies cost him $0.15 per bag sold. Rodney sold popcorn for $1.00 per bag how much profit did rodney make if he sold 200 bags of popcorn
Answer:
170
Step-by-step explanation:
The amount of profit Rodney made when he sold 200 bags of popcorn is given by A = $ 100
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the equation is
Let the amount for renting the machine be = $ 70
The amount per bag for packing popcorn = $ 0.15 per bag
The sale price of the popcorn per bag = $ 1.00
And ,
The total number of bags sold by Rodney = 200 bags
So , the total profit made by Rodney A is calculated from the equation ,
Total amount made by Rodney = total number of bags sold by Rodney x sale price of the popcorn per bag
Substituting the values in the equation , we get
Total amount made by Rodney = 200 x 1
Total amount made by Rodney = $ 200
Now , the cost per bag is deducted from the total amount made by Rodney
So ,
Total amount made by Rodney after deduction of bag cost = ( Total amount made by Rodney - amount per bag for packing popcorn x 200 )
Substituting the values in the equation , we get
Total amount made by Rodney after deduction of bag cost =
= 200 - ( 0.15 x 200 )
= 200 - 30
= $ 170
Now , the cost of renting the machine should also be deducted from the remaining amount to calculate the profit earned by Rodney
So , The profit earned by Rodney A = 170 - amount for renting the machine
The profit earned by Rodney A = $ 170 - $ 70
The profit earned by Rodney A = $ 100
Therefore , the value of A is $ 100
Hence , The amount of profit Rodney made when he sold 200 bags of popcorn is given by A = $ 100
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
steven traveled for 10 hours at a constant rate of 53 miles per hour. Stephanie traveled at the same distance at a constant rate of 48 miles per hour. How long did it take stephanie to travel the same distance as steven, write an equation to solve.
Answer:
It took 11.04 hours by Stephanie.
Step-by-step explanation:
Concept
distance = speed*time
time = distance/time
_________________________________
Given
for Steven
time = 10 hours
speed = 53 miles per hour
Distance for steven = 53*10 = 530 miles
_____________________________________
Now ,
as Stephanie also traveled the same distance as steven
Distance = 530 miles
speed = 48 miles per hour
time = 530/48 hour = 11.04 hours
Thus, It took 11.04 hours by Stephanie.
In other way
since distance traveled by Steven and Stephanie are same
let time taken by Stephanie be x hours
Distance traveled by steven = Distance traveled by Stephanie
53*10 = 48*x
x = 530/48 = 11.04 hours
equation = 53*10 = 48*x
What is 5 1/3 ÷ 2 And explain how
Answer:
[tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Convert 5 1/3 to an improper fraction, so it now looks like this: 16/3Write it out: 16/3 ÷ 2/116/3 ÷ 2/1 = 16/3 × 1/216/3 × 1/2 = 16/6 = 8/3I hope this helps!
16/6
Step-by-step explanation:
51/3= 16/3
therefore:
16/3÷2
16/3×1/2
16/6
1) An elevator is on the 15th floor, it goes down 18 floors
and then up 5 floors. What floor is it on now?
Answer:
The elevator is now on the 2nd floor.
Step-by-step explanation:
15 - 18 = -3
-3 + 5 = 2
Answer:2nd floor
Step-by-step explanation:
since the elevator is on the 15th floor and you go down 18 that’s equals negative 3 then you go back up 5 floors and you add 5 to negative 3 which leaves you with the 2nd floor
Can someone help? I don’t really understand what reflect over line y=x means :)
Answer: (-3,7)
Step-by-step explanation:
Flip the signs
A plan for a baseball diamond is drawn in a coordinate plane. The baseball diamond is in the shape of a square with vertices at approximately 0, 04105401 (0-64 and 1-6401 One unit in the coordinate plane representa 1. What is th approximate area of the baseball diamond? Show your work.
Answer:
The approximate area, of the baseball diamond is 8192 ft²
Step-by-step explanation:
The given coordinates of the baseball diamond are;
(0, 64), (64, 0), (0, -64), and (-64, 0)
The length of one unit of the coordinate plane = 1 foot
Therefore, we note that, there are two points with x-coordinate = 0 at which the y-coordinates = 64 and -64
Similarly here are two points with y-coordinate = 0 at which the x-coordinates = 64 and -64
The length of the segment are therefore the vertices of a square as we have;
A(0, 64), B(64, 0), C(0, -64), and D(-64, 0)
∠DBA = ∠DCA = tan⁻¹(64/64) = tan⁻¹(1) = 45°
∠DBA + ∠DCA = ∠ABC = 90°
The shape of the diamond is a square
The length, l of the side of the square is given by the relation;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
When, (x₁, y₁) = (0, 64), (x₂, y₂) = (64, 0)
We have;
[tex]l = \sqrt{\left (0 -64 \right )^{2}+\left (64-0 \right )^{2}} = 64\cdot \sqrt{2}[/tex]
The
The area, A, of the baseball diamond is therefore;
A = Area of a square = (Length of the side of a square)² = (64·√2)² = 8192 ft²
The area, of the baseball diamond = 8192 ft².
Slove the question please
Answer:
24m
Step-by-step explanation:
factor the equation to get 6x4m which gets you 24m
Answer: option 3. 24m
Step-by-step explanation:
concept to know: (a+b)²=a²+2ab+b²
(a-b)²=a²-2ab+b²
(2m+3)²-(2m-3)²
=(4m²+12m+9)-(4m²-12m+9) ⇔ Use the formula mentioned above
=4m²+12m+9-4m²+12m-9 ⇔ take off parentheses
=4m²-4m²+12m+12m+9-9 ⇔ move the like term together
=24m ⇔ combine like term
Hope this helps!! :)
Please let me know if you have any question
-3x+51>13+7x-22 help
Answer:
x < 6
Step-by-step explanation:
Given
- 3x + 51 > 13 + 7x - 22 ( simplify right side )
- 3x + 51 > 7x - 9 ( subtract 7x from both sides )
- 10x + 51 > - 9 ( subtract 51 from both sides )
- 10x > - 60
Divide both sides by - 10, reversing the symbol as a result of dividing by a negative quantity.
x < 6
The shaded area below represents the pieces of tile installed in the hallway what percent of the hallway has not been installed tile
Answer:
35%
Step-by-step explanation:
There are 20 sqaures, 7 of them are not shaded, 7/20=35%
what is the sum?
[tex] \frac{2}{ {x}^{2} } + \frac{4}{ {x}^{2} } [/tex]
Answer:
6/x^2
Step-by-step explanation:
Simplify the following:
2/x^2 + 4/x^2
2/x^2 + 4/x^2 = (2 + 4)/x^2:
(2 + 4)/x^2
2 + 4 = 6:
Answer: 6/x^2
Answer:
6/x²
Step-by-step explanation:
[tex]\frac{2}{x^{2} } + \frac{4}{x^{2} } \\\\[/tex]
= (2+4) / x²
= 6/x²
Determine for each x-value whether it is in the domain of f or not. -
Answer:
-7 is in our domain.
0 is in our domain
7 is not in our domain.
Step-by-step explanation:
So we have the rational function:
[tex]f(x)=\frac{x}{x-7}[/tex]
The domain restrictions of rational functions are the zeros of the denominator. In other words, the domain of rational functions are always all real numbers except for the zeros of the denominator.
So, solve for the denominator by setting it to 0:
[tex]x-7=0[/tex]
Add 7 to both sides:
[tex]x=7[/tex]
So, our domain is all real numbers except for 7.
(When x=7, we have 7/0, which is undefined.)
Therefore:
-7 is in our domain.
0 is in our domain
7 is not in our domain.
Answer:
the picture has it all!
whatever equals zero is not the domain and whatever doesnt equal zero is the domain!
hope i helped :)
caroline is taking a road trip on 1-70 in kansas. she stops for gas at mile marker 36. her destination is at mile marker 353 in topeka, but she decides to stop at an attraction 3/4 of the way after stopping for gas. at about which mile marker did caroline stop to visit the attraction.
BTW not middle school
Answer:
274
Step-by-step explanation:
First stop of Caroline = At 36 mile marker
Destination of Caroline = At 353 mile marker
Distance left to be covered = 353 - 36 = 317 miles
Given that Caroline decides to stop at an attraction [tex]\frac{3}{4}[/tex] of the way after she stops for gas.
i.e. at a distance [tex]\frac{3}{4}[/tex] of 317 miles away from the Gas stop.
[tex]\frac{3}{4} \times 317 = 79.25\times 3 \approx 238\ miles[/tex]
So, Caroline stops at a point which is around 238 miles away from the gas station.
To calculate the Mile marker of her stop, we need to add the mile marker of gas station and the distance of her stop from gas station.
Mile marker location at her stop = 36+238 = 274
Simplify 10 3 × 10 3 leaving your answer in index form.
Answer:
10^3×10^3
is 100000000 which is 10^7 in index form.