Answer: $864.63
Step-by-step explanation:
First find the original price. Write 20% as the decimal 0.20 before using it in the equation.
price
= cost+mark-up
= 960.70+0.20×960.70
= 960.70+192.14
= 1,152.84
The original price was $1,152.84.
Now find the discount price. Write 25% as the decimal 0.25 before using it in the equation.
discount price
= original price–discount
= 1,152.84–0.25×1,152.84
= 1,152.84–288.21
= 864.63
The discount price was $864.63.
a region's average movie theater ticket price in 2007 was $6.72. For 2017, it was estimated to be $8.81. Find the percent of increase in average movie theater ticket price for this 10-year periods
Answer:
31.1011905%
Step-by-step explanation:
Take the new price and subtract the original price
8.81 - 6.72
2.09
Divide by the original price
2.09/6.72
.311011905
Change to percent form
31.1011905%
Percent of increase in average movie theatre ticket price will be 31.1%
Given prices of the ticket in two different years are,
In year 2007 price of the ticket was $6.72After 10 years price of the ticket is $8.81To calculate the percent increase in the price of an object expression to be used,
Percent increase = [tex]\frac{\text{Final price - Initial price}}{\text{Initial price}}\times 100[/tex]
= [tex]\frac{8.81-6.72}{6.72}\times 100[/tex]
= [tex]0.311\times 100[/tex]
= [tex]31.10[/tex]%
Therefore, percent of increase in the price of the ticket will be 31.1%
Learn more,
https://brainly.com/question/11265758
why reason distance cannot be negative?
Answer:
Distance cannot be negative because no matter which direction you travel, you will never travel negative units.
Step-by-step explanation:
Distance cannot be negative in the same way that when you put a car in reverse, the odometer does not go backwards.
If you have a mailbox 30 feet east of your house and a park 30 feet west of your house, you can think of it like a number line: your house is 0, the park is -30 and the mailbox is 30. But, if you walk to your park, you have not walked -30 feet.
helpppppppppppppppppppppppppppp
Answer:
c. {1/15,16,1/17,18}
Step-by-step explanation:
please follow me
Answer:
[tex]{ \sf{set \:A \: and \: B }}[/tex]
which is the simplified form of the expression
please help!!
Answer:
A
Step-by-step explanation:
p^-8q^-20 * p^8q^-10
=q^-30
=1/q^30
A library wishes to build an access ramp for wheelchairs. The main entrance of the library is 8 ft. above sidewalk level. If the architect recommends a grade (angle of elevation) of 6°, how long must the access ramp be?
Answer:
About 76.5 ft.
Step-by-step explanation:
Draw a diagram of a right triangle. The shorter leg represents the height of the main entrance of the library, which is 8 ft. The longer leg won't matter in this case. The hypotenuse is what we're trying to find, so mark it as x. We know there's a 6° angle of elevation, so the 30° angle of the triangle will be 6° in this case. Now we have to use trig. Think of Soh Cah Toa. The 6° is opposite from 8 and the hypotenuse is x. So, the equation to find x would be:
sin (6°) = 8/x
Multiply both sides by x
sin (6°) * x = 8
Divide both sides by sin (6°)
x = 8/sin (6°)
When putting it into a calculator, your answer should be 76.534, which rounds to 76.5 ft.
Is there a answer to this
Answer:
mean=71
Step-by-step explanation:
Mean x¯¯¯x¯
71
Median x˜x~
72
Mode
64, 83, 79, 38, 81, 90, 59, 93, 70, 73, 71, 51
Range
55
Minimum
38
Maximum
93
Count n
12
Sum
852
Quartiles
Quartiles:
Q1 --> 61.5
Q2 --> 72
Q3 --> 82
Interquartile
Range IQR
20.5
Outliers
none
6+7(x+5)<-25-2x
need help
Fine the measurements. Are this correctly?
Answer:
1: 5 2: 13 3: sqr root of 15 4: 1 5: 1 6: 3
Step-by-step explanation:
Follow the formula a squared plus b squared equals c squared. C is always the longest side of the equation. So figure out your variables to fill in and in the end, square root your remaining answer.
A(-1, 3), B(2, 2), and C(3, -6). If the triangle is translated 5 units to the right, what are the coordinates of A'?
Answer:
(4,3)
Step-by-step explanation:
If the triangle ABC is moved 5 units to the right, the coordinates of A will be (4,3). We can find this by using the values already given for A. We are given (-1,3) which is A's current position. Since we are moving it to the right we are only looking at the first number. If we add 5 to -1 we get 4 which we put in the place of the -1 in the coordinates to get our answer.
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion.
x = x + 3
The equation has ____.
(options are no solution, one solution, or infinite solutions)
A value of x that makes the equation false is ___, which when substituted into the equation and simplified makes the equation turn into ___ = ____.
Another value of x that makes the equation false is ___, which when substituted into the equation and simplified makes the equation turn into ___ = ___.
Answer:
There are no solutions.
The left side of the equation will always be three less than the right side of the equation since both sides have the same variable.
helpppppppppppp fast ill mark you brainlist or whatever !!! hurry i have one try
Elisa withdrew $22 at a time from her bank account and withdrew a total of $198. Frances withdrew $45 at a time from his bank account and withdrew a total of $270. Who made the greater number of withdrawals? (select) made the greater number of withdrawals, because she made withdrawals, while (select) only made withdrawals.
Step-by-step explanation:
Elisa made the greater number of withdrawals, because she made 9 withdrawals, while Frances only made 6 withdraws.
HELP! WILL GIVE BRAINLIEST!!! I think it's D please check
Factor completely x3 + 5x2 − 3x − 15.
(x − 5)(x2 − 3)
(x + 5)(x2 + 3)
(x − 5)(x2 + 3)
(x + 5)(x2 − 3)
Answer:
(x + 5) (x^2 -3)
Step-by-step explanation:
[tex]x^{3} +5x^{2} - 3x - 15[/tex]
Do the grouping:
[tex]x^{3} +5x^{2} - 3x - 15 = (x^{3} +5x^{2}) + (-3x - 15)[/tex]
Then factor out [tex]x^{2}[/tex] in the first and −3 in the second group.
[tex]x^{2}(x+5) - 3(x+5)[/tex]
Factor out the common term x + 5 by using the distributive property.
Polynomial [tex]x^{2}-3[/tex] is not factored in since it does not have any rational roots, thus getting the following:
[tex](x+5)(x^{2} -3)[/tex]
Answer:
the fourth option (x+5)(x²-3)
Step-by-step explanation:
the "-15" tells us we need a 3 and a 5 with different signs.
that eliminates the first and the second options.
and the "5x²" tells us it has to be +5, as there is only one part in the whole multiplication that delivers a x² term (5×x²).
it is also confirmed for the same reasons by "-3x" that the other number has to be -3.
Seven teenagers were asked what they charge hourly for babysitting,
The results are shown below. What is the median of these prices?
$8.00, $8.50, $9.00, $9.25, $9.50, $10.75, $11.00
Median- is the middle value whereby the values are place in order (ascending)
$9.25 is the median of these prices
hey please help i’ll give brain new question sorry
Answer:
12. This is because of the commutative property of addition.
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Using the commutative property of addition
8+4 = 12
4+8 = 12
cos(4x + pi/5) - sin 2x = 0
cos(4x + π/5) - sin(2x) = 0
Since cos(x + π/2) = -sin(x), we can write
cos(4x + π/5) = cos(4x + π/2 - 3π/10) = -sin(4x - 3π/10)
Then we can absorb the negative signs into either sin expression, using the fact that sin(-x) = -sin(x):
-sin(4x - 3π/10) - sin(2x) = 0
sin(3π/10 - 4x) + sin(-2x) = 0
Recall that
• sin(a + b) = sin(a) cos(b) + cos(a) sin(b)
• sin(a - b) = sin(a) cos(b) - cos(a) sin(b)
==> • 2 sin(a) cos(b) = sin(a + b) + sin(a - b)
We can further condense the left side in our equation if there exists a solution to
{ 3π/10 - 4x = a + b
{ -2x = a - b
We have
(a + b) + (a - b) = (3π/10 - 4x) + (-2x)
==> 2a = 3π/10 - 6x
==> a = 3π/20 - 3x
(a + b) - (a - b) = (3π/10 - 4x) - (-2x)
==> 2b = 3π/10 - 2x
==> b = 3π/20 - x
So in our equation, we have
sin(3π/10 - 4x) + sin(-2x) = 0
2 sin(3π/20 - 3x) cos(3π/20 - x) = 0
sin(3π/20 - 3x) cos(3π/20 - x) = 0
Solve for x :
sin(3π/20 - 3x) = 0 or cos(3π/20 - x) = 0
[3π/20 - 3x = arcsin(0) + nπ or 3π/20 - 3x = π - arcsin(0) + nπ]
or [3π/20 - x = arccos(0) + nπ or 3π/20 - x = -arccos(0) + nπ]
[3π/20 - 3x = nπ or 3π/20 - 3x = π + nπ]
or [3π/20 - x = π/2 + nπ or 3π/20 - x = -π/2 + nπ]
[3x = 3π/20 - nπ or 3x = -17π/20 - nπ]
or [x = -7π/20 - nπ or x = 13π/20 - nπ]
[x = π/20 - nπ/3 or x = -17π/60 - nπ/3]
or [x = -7π/20 - nπ or x = 13π/20 - nπ]
(where n is any integer)
what is the distance between points (6,-5) and (2,-2)
Answer:
5.
Step-by-step explanation:
Distance = √(2-6)^2 + (-2-(-5)^2)
= √(16 + 9)
= √25
= 5.
Hello ;)
We can calculate the distance between two points by knowing their coordinates.
Here is the formula :
Let two points [tex]A(x_{A};y_{A})[/tex] and [tex]B(x_{B};y_{B})\\[/tex]
The distance between those two points is given by using this formula :
[tex]AB^{2} =(x_{B}-x_{A})^{2} +(y_{B}-y_{A})^{2}[/tex]
Now, we can use this formula in your exercice.
(2 - 6)² + (-2 - (-5))²
= (-4)² + 3²
= 16 + 9
= 25
Do not forget to do the square root of 25 ;)
So we obtain : [tex]\sqrt{25}=5[/tex]
The distance between points (6 ; -5) and (2 ; -2) is 5 units of lengh.
:-)
Y=3x-5 please help ASAP
Therefore, a linear equation in two variables has infinitely many solutions. Thus, y = 3x + 5 has infinitely many solutions. Hence (iii) is the correct answer.
Make a sketch that matches the description: E is between F and G. H is between F and E.
Hi! I'm happy to help!
For this, you just simply follow the directions, and alter as you go. First, we need to place E between F and G, so we can put F and G on opposite sides of E.
F E G
From here, we put H between F and E
F H E G
I hope this was helpful, keep learning! :D
SOLVE FOR Y
2x-y=3
pls help
Answer:
x = 3+y/2
Step-by-step explanation:
Explain how to evaluate f (2) to a student that is
absent today.
I need help solving this.
16 - 2t + 5t +9
Answer:
give brainliest please I need it to level up
Step-by-step explanation:
16 - 2t + 5t + 9
16 + 9 -2t + 5t=0
25 + 3t =0
3t= -25
t= -8.3
Please help me one question left
Answer:
thanks for points
Step-by-step explanation:
too easy boi
5. * Your parents drove the family car 462 miles on 14 gallons of gas. On average, how many miles did the car travel on each gallon of gas (Write the expression and solve)?
Answer:
33 miles did the car travel on each gallon of gas
John's family drinks
7/9 of milk a day.
How many liters do they drink in 4 days?
[tex]\frac{28}{9}[/tex] liters do they drink in 4 days.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the question
John's family drinks 7/9 of milk a day.
Liters do they drink in 4 days: X
Using unitary method
X = [tex]\frac{7}{9} \times4[/tex]
X = [tex]\frac{28}{9}[/tex]
[tex]\frac{28}{9}[/tex] liters do they drink in 4 days.
Find out more information about unitary method here
https://brainly.com/question/22056199
#SPJ2
another easy question pls answer
Answer:
22.5 degrees and 67.5 degrees
Step-by-step explanation:
complementary angles add up to 90°
x + 3x = 90°
4x = 90
90/4 = x
x = 22.5
The first angle is 22.5
The second angle is 3 times as much
22.5 x 3 = 67.5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Seventeen more than twice a number is -13. What is the number?
Answer:
-15
Step-by-step explanation:
17+2a=-13
2a=-30
a=-15
Simplify 9/12 into simplest form
How do you do this ? Anyone who know how and can explain this
Answer:
G. 105.
Step-by-step explanation:
Percentage of cars with 3 or more people
= 15 + 7 + 3
= 25%,
25% of 420
= 0.25 * 420
= 105.
Find the area of the shape.
Either enter an exact answer in terms of π or use 3.143, point, 14 for π and enter your answer as a decimal
Answer:
84.861
Step-by-step explanation:
In the given figure, 1/4 part of Circle is missing
so, we have to find the area of 3/4 part of circle
Area of circle = πr²
Given, r = 6
Now, Area of 3/4 part of circle = (3/4)×πr²
= (3/4) × 3.143 × 6²
= 84.861
Will give brainliest
Answer:
about 15.08
Step-by-step explanation:
Angle BAC + Angle CAH = 180 (they are supplenmentary angles), which means (12x+4)+(x-20)=180
solve:
13x-16=180
13x=196
x≈15.08
Answer:
12x+4 + x-20 = 180
13x = 196
x = 15.08
Step-by-step explanation: