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Work Shown:
c = price of coat before discount
0.33c = discount = amount you save
c - 0.33c = original price minus discount = final price
c - 0.33c = 1c - 0.33c = (1-0.33)c = 0.67c = final price
In short, c - 0.33c = 0.67c
They are two ways of expressing the same thing.
You can think of it like saying 100% - 33% = 67%
If you save 33%, then you still have to pay the remaining 67% of the original cost.
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Example:
Let's say the coat is $100 before the discount
c = 100
0.33*c = 0.33*100 = 33 dollars is how much you save
c - 0.33c = 100 - 33 = 67 dollars is the final price
0.67c = 0.67*100 = 67 matches with the previous figure above
If f(x, y) = x²y (5x - y²) (a) f(1, 3) (b) f(-5, -1) (c) f(x+h, y) (d) f(x,x) find the following.
Given the function f(x, y) = x²y(5x - y²), we can find the following: (a) f(1, 3), (b) f(-5, -1), (c) f(x+h, y), and (d) f(x, x).
(a) To evaluate f(1, 3), we substitute x = 1 and y = 3 into the function:
f(1, 3) = (1²)(3)(5(1) - 3²) = 3(3)(5 - 9) = -54.
(b) Similarly, to evaluate f(-5, -1), we substitute x = -5 and y = -1 into the function:
f(-5, -1) = (-5)²(-1)(5(-5) - (-1)²) = 25(-1)(-25 + 1) = -600.
(c) To find f(x+h, y), we replace x with (x+h) in the function:
f(x+h, y) = (x+h)²y(5(x+h) - y²).
(d) Lastly, to determine f(x, x), we substitute y = x in the function:
f(x, x) = x²x(5x - x²) = x³(5x - x²).
In summary, we found the values of f(1, 3) and f(-5, -1) by substituting the given coordinates into the function. For f(x+h, y), we replaced x with (x+h) in the original function, and for f(x, x), we substituted y with x.
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Problem #1 (p21#22): Do the lines hx,y,zi = ht + 4, 4t + 5,t − 2i
and hx,y,zi = h2s + 3,s + 1, 2s − 3i intersect?
The lines given by hx,y,zi = ht + 4, 4t + 5, t − 2i and hx,y,zi = h2s + 3, s + 1, 2s − 3i do not intersect.
We can determine whether two lines intersect by setting their equations equal to each other and solving for the values of x, y, and z. Setting the given equations equal to each other, we have:
ht + 4 = h2s + 3
4t + 5 = s + 1
t − 2 = 2s − 3
From the second equation, we have s = 4t - 4. Substituting this into the third equation, we get t = 3. Then, using t = 3 in the first equation, we get h = -1/3. Substituting these values into the second equation, we get s = 8. However, using these values in the first equation leads to a contradiction: -1/3 ≠ 19/3. Therefore, the lines do not intersect.
Therefore, the lines given by hx,y,zi = ht + 4, 4t + 5, t − 2i and hx,y,zi = h2s + 3, s + 1, 2s − 3i do not intersect.
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14 - 8 + 3 + 8 × [24 ÷ 8}
Step-by-step explanation:
14 - 8 + 3 + 8 × [24 ÷ 8}
14 - 8 + 3 + 8 × [3}
14-8+3+24= 33
= 33
Graph the equation on the coordinate plane
Y=1/2x-3
Answer:
Step-by-step explanation:
Start at origin 0,0 make a point
go up 1 and over 2 make a point
connect with straight line
Factor the polynomial: –3x^4 – 9x^3 + 15x^2
Answer:-3x^2(9x^5-5)
Step-by-step explanation:
Step-by-step explanation:
-3x2(x2)-9x3+25x2
-3x2(x2+3x-5)
PLEASE HELPPPP QUICK 100 POINTS ASAP PLEASEE
Graph a line representing the proportional relationship with slope 3 containing the point (2,6)
Answer:
i think you had it on the point
Step-by-step explanation:
6.1% of 40 is what number
Answer:
6.1% of 40 is 2.4
Step-by-step explanation:
You can find the percentage by looking at 40 as 100% and then taking 6.1% of that. That is adding 6.1 to 0, so it's just 6.1%.
It would be like asking what is 10% of 30? 30 is 100%, so 10% becomes 3, which would be your answer.
Answer:
6.1\ 100 = x/40
6.1*40= 244
244 divided 100
2.44
Answer: 2.44
Find the median for the following data set: 11, 13, 17, 11, 10, 15, 11, 12, 13, 15
O 125
O 12
O 13
O 13.5
Answer:
A, 12.5
Putting them in order was this:
10, 11, 11, 11, 12, 13, 13, 15, 15, 17
and the median is between 12 and 13, which is 12.5
(Hope that helps you. ^^)
SOMEONE PLEASE HELP ASAP
Answer:
The answer would be 15yd^2.
Step-by-step explanation:
The area of a triangle is found by...
A = (L*H) / 2
L = length
H = height
Answer:
15.0 yd
Step-by-step explanation:
A= h b/2 = 3·10/2=15
what is the volume of this pyramid? 720 cm³ 720 cm³ 1080 cm³ 1080 cm³ 1440 cm³ 1440 cm³ 2160 cm³ 2160 cm³ a pyramid with a right triangular base. the right triangular base has leg lengths of 9 centimeters and 15 centimeters. the height of the pyramid is 32 centimeters.
Based on the calculations, the volume of this pyramid is equal to 1440 cm³.
Given the following data:
Length of right triangular base = 9 centimeters and 15 centimeters.
Height of right triangular base = 32 centimeters.
How to calculate the volume of a pyramid?Mathematically, the volume of a pyramid can be calculated by using this formula:
Volume = 1/3 × b × h
Where:
h is the height of a pyramid.
b is the base area of a pyramid.
Substituting the parameters into the formula, we have:
Volume = 1/3 × 9 × 15 × 32
Volume = 3 × 15 × 32
Volume of pyramid = 1440 cm³.
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If lines p and q are parallel then the value of x is
Answer:
The answer is A. 10
Step-by-step explanation:
The two angles are alternate interior angles so they are congruent. Since they are congruent, you can write it in an equation.
5x - 25 = 3x - 5
subtract 3x from each side
2x - 25 = -5
add 25 to each side
2x = 20
divide 2 from each side
x = 10
Also, if you want to check your answer, you can plug 10 back into the equation to see if they're equal.
The relation between the given angles is given by the alternate interior
angles theorem.
If lines p and q are parallel then the value of x is A. 10°
Reason:
The given parameters are;
Condition; Line p, and line q, are parallel.
The angles (3·x - 5)° and (5·x - 25)° are alternate interior angles.
According to alternate interior angles theorem, we have the alternate
angles are congruent, where line p, and line q are parallel.
Therefore;
(3·x - 5)° ≅ (5·x - 25)° By alternate interior angles
(3·x - 5)° = (5·x - 25)° By definition of congruency
Solving, we get;
(3·x - 5)° + 25° = (5·x - 25)° + 25°
3·x + 20° - 3·x = 5·x - 3·x = 2·x
20° = 2·x
\(x = \dfrac{20^{\circ}}{2} = 10^{\circ}\)
The correct option is A. 10°
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the circumference of a circle is 6 kilometers. What is the radius? diameter of a circle is 20 miles. What is the circumference?
Answer:circumference if circle =6km
2πr=6
R=3/π km
Step-by-step explanation:
When diameter of circle =`20miles
Circumference of circle =πd=20πmiles.
Ava and Chris shop at their neighborhood farmers' market every second Thursday. Today, Ava buys 2 1/2 pounds of apples, 1 1/5 pounds of pears, and 1 3/10 pounds of fish. Chris buys a ten and a half pound bag of organic dog food
Ava buys 2 1/2 pounds of apples, 1 1/5 pounds of pears, and 1 3/10 pounds of fish at the farmers' market. Chris buys a 10 1/2 pound bag of organic dog food. The weights provided for each item give us a clear idea of the amount purchased by each person at the farmers' market.
Ava's purchases at the farmers' market include 2 1/2 pounds of apples, 1 1/5 pounds of pears, and 1 3/10 pounds of fish. These quantities represent the weights of the items she bought.
Chris, on the other hand, buys a 10 1/2 pound bag of organic dog food. This indicates that Chris purchased a bag of dog food weighing 10 1/2 pounds.
The information given allows us to understand the specific items each person bought and their respective quantities in pounds. Ava bought apples, pears, and fish, while Chris bought dog food. The weights provided for each item give us a clear idea of the amount purchased by each person at the farmers' market.
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Solve the following modular equations. In each case please use the smallest positive solution. a) 11 + x = 7 mod 14 b) 5x + 1 = 3 mod 7 c) 7^x = 4 mod 13
The smallest positive solutions for the given modular equations are:
a) x = 10 b) x = 6 c) x = 11
a) For the equation 11 + x ≡ 7 (mod 14), we need to find the smallest positive value of x that satisfies this congruence. We can subtract 11 from both sides of the equation, yielding x ≡ -4 (mod 14). To find the smallest positive value, we add 14 to -4 until we get a positive result. In this case, adding 14 to -4 gives us x ≡ 10 (mod 14), which is the smallest positive solution.
b) In the equation 5x + 1 ≡ 3 (mod 7), we subtract 1 from both sides to obtain 5x ≡ 2 (mod 7). To find the smallest positive value of x, we multiply both sides by the modular inverse of 5 modulo 7. In this case, the modular inverse of 5 is 3, so multiplying both sides by 3 gives us x ≡ 6 (mod 7) as the smallest positive solution.
c) For the equation \(7^x\) ≡ 4 (mod 13), we need to determine the smallest positive value of x. To solve this, we can systematically calculate the powers of 7 modulo 13 until we find one that is congruent to 4. After checking the values, we find that \(7^{11}\) ≡ 4 (mod 13), making x = 11 the smallest positive solution to the equation.
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Rei is barricading a door to stop a horde of zombies. she stacks boxes of books on a table in front of the door. each box weighs 30 kilograms, and the table with 8 boxes on top weighs a total of 310 kilograms. the total weight w of the barricade in kilograms is a function of x, the number of boxes rei stacks on the table.
Rei is using boxes of books to barricade a door against zombies. The total weight "w" of the barricade in kilograms is a function of "x", the number of boxes stacked on the table. Each box weighs 30 kilograms, and when there are 8 boxes on the table, the total weight is 310 kilograms. This includes the weight of the table.
To determine the weight of the table alone, we need to subtract the weight of the 8 boxes from the total weight:
Weight of 8 boxes = 8 * 30 kg = 240 kg
Weight of table = Total weight - Weight of 8 boxes = 310 kg - 240 kg = 70 kg
Now that we know the weight of the table, we can define the function "w(x)" for the total weight of the barricade as follows:
w(x) = (30 * x) + 70
This function represents the total weight "w" in kilograms of the barricade as a function of the number of boxes "x" stacked on the table. The function takes into account the weight of each box (30 kg) and the weight of the table (70 kg) to give us the total weight of the barricade with any given number of boxes.
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A video game rental store charges a $20 membership fee and $2.50 for
each video game rented. What is the linear equation that represents this
word problem?
Answer:
y = 2.50x + 20 ( the 2nd option)
i wanna ask that if A/B 's answer is {0,1,4,5,6} then the answer of B/A 's answer will be the same or not?
Answer: it will
Step-by-step explanation:
your welcome
can someone help? ill give brainist if correct
Answer:
1/370
Step-by-step explanation:
I think I couldn't see it well
hELP me please help ASAP
Answer: im pretty sure that would be A
Step-by-step explanation:
what is smallest positive difference between two fractions, if the denominator of one fraction is 5 and the denominator of the other is 9
WHO EVER ANSWERS FIRST AND CORRECTLY GETS TO BE BRAINLIEST
Answer:
4?
Step-by-step explanation:
I dont think its right because i dont know how can it be four its just a guess :)
the following statements is are true regarding the figure above
Answer:
a and b
Step-by-step explanation:
it is a point and a point is a zero demensional object.
How many yards is 6 inches
Answer: 6 inches equals 0.16666667 yards, or about 0.2 yards.
Step-by-step explanation: 1 yard equals 36 inches. By that reasoning, we can divide 6 by 36, since we are trying to find out how many yards are in 6 inches.
6/36 = 0.16666667
The answer is 0.16666667 yards, or about 0.2 yards.
Write the phrase as an expression
the quotient of 22 and a number a
Answer:
22/a
Step-by-step explanation:
The quotient of 22 and a number = 22/a
For i =√√1, what is the value of
(2+3i)(5-7i)?
result is 31+i in where 31 is real part and i is complex part as given i= √-1 and i²= -1
What is called complex number?In mathematics complex number is an element which has two parts one is called real part and the remaining is termed as imaginary part. An example is 41+6i
here, 41 is real part, 6i is imaginary part
What is the system we use for complex number?A real number cannot be added or subtracted with an imaginary number, but a real number can be multiplied or divided with an imaginary number.
We are given, (2+3i) (5-7i)
at first, we expand it by removing parenthesis
2x5-2x7i+3ix5-3ix7i
10-14i+15i-21i²
now like term is added
10+i+21 as we are given i²= -1
31+i
hence, we get 31+i
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What is the vertex of this quadratic function.
(x-4)2 + 3 = 0
Answer:
(4, 3)
Step-by-step explanation:
Please use " ^ " to indicate exponentiation: (x-4)^2 + 3 = f(x) (which is not 0)
Comparing:
f(x) = (x - 4)^2 + 3 to the general vertex equation
f(x) = (x - h)^2 + k
tells us that the vertex is (h, k): (4, 3)
What is the distance?
To find the distance between two given points, we can use distance Formula...
\( \bigstar \: { \underline{ \overline{ \boxed{ \frak{Distance= \sqrt{{(x_{2} - x_{1}) }^{2} +{(y_{2} - y_{1}) }^{2} }}}}}}\)
★ Let's substitute the values into the distance formula:-
\({\longrightarrow \:{ \pmb{\: Distance= \sqrt{{(x_{2} - x_{1}) }^{2} +{(y_{2} - y_{1}) }^{2} }}}}\)
\({\longrightarrow \:{ \pmb{\: AB= \sqrt{{( - 5 - 3) }^{2} +{(( - 7) - ( - 7)) }^{2} }}}}\)
\({\longrightarrow \:{ \pmb{\: AB= \sqrt{{( - 8) }^{2} +{(( - 7) - ( - 7)) }^{2} }}}}\)
\({\longrightarrow \:{ \pmb{\: AB= \sqrt{{( - 8) }^{2} +{( - 7 + 7) }^{2} }}}}\)
\({\longrightarrow \:{ \pmb{\: AB= \sqrt{{( - 8) }^{2} +{( 0) }^{2} }}}}\)
\({\longrightarrow \:{ \pmb{\: AB= \sqrt{{( - 8) }^{2} }}}}\)
\({\longrightarrow \:{ \pmb{\: AB= \sqrt{8 \times 8 }}}}\)
\({\longrightarrow \:{ \pmb{\: AB= \sqrt{64 }}}}\)
\({\longrightarrow \:{ \pmb{\: AB= 8 \: units}}}\)
Therefore, the distance between the points (3, -7) and (-5, -7) is 8 units.
Answer:
see attached
Step-by-step explanation:
Find the value of x in the triangle shown below
How to convert us dollar to thai baht?
Convert USD to THB, multiply amount of USD by the current exchange rate between USD and THB, which can be found on financial news or currency exchange websites, to get the equivalent amount in THB.
To convert US dollars (USD) to Thai baht (THB), you need to use the current exchange rate between the two currencies. Here are the steps to convert USD to THB:
Find the current exchange rate between USD and THB. This information can be found on financial news websites, currency exchange websites, or by contacting a bank or currency exchange service.
Multiply the amount of US dollars you want to convert by the current exchange rate to get the equivalent amount in Thai baht. For example, if the current exchange rate is 1 USD = 31.50 THB and you want to convert 100 USD to THB, the calculation would be:
100 USD x 31.50 THB/USD = 3,150 THB
Therefore, 100 USD is equal to 3,150 THB.
Note: The exchange rate between USD and THB can fluctuate over time, so make sure to use the current exchange rate for the most accurate conversion.
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In a movie theater, 2 boys and 3 girls are randomly seated together in a row. What is the probability that the 2 boys are seated next to each other
Answer: 2/5
Step-by-step explanation: 2/5 is the answer bozo
The probability that the 2 boys are seated next to each other will be P(A) = 0.16.
What is a probability? Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.Given is that in a movie theater, 2 boys and 3 girls are randomly seated together in a row.
The total number of ways in which all of them can be seated are -
n{S} = (2 + 3) x (2 + 3) = 5 x 5 = 25
n{S} = 25
The total number of ways in which two boys can be seated together are -
n{A} = 4
So, the probability that the 2 boys are seated next to each other will be -
P(A) = n(A)/n(S)
P(A) = 4/25
P(A) = 0.16
Therefore, the probability that the 2 boys are seated next to each other will be P(A) = 0.16.
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Two cars are traveling north along a highway. The first drives at 40 mph, and the second, which leaves 3 hours later, travels at 60 mph. How long after the second car leaves will it take for the second car to catch the first?
Answer:
Step-by-step explanation:
We will make a table and fill it in according to the information provided. What this question is asking us to find, in the end, is how long did it take the cars to travel the same distance. In other words, how long, t, til car 1's distance = car 2's distance. The table looks like this:
d = r * t
car1
car2
We can fill in the rates right away:
d = r * t
car1 40
car2 60
Now it tells us that car 2 leaves 3 hours after car 1, so logically that means that car 1 has been driving 3 hours longer than car 2:
d = r * t
car1 40 t + 3
car2 60 t
Because distance = rate * time, the distances fill in like this:
d = r * t
car1 40(t + 3) = 40 t+3
car2 60t = 60 t
Going back to the interpretation of the original question, I am looking to solve for t when the distance of car 1 = the distance of car 2. Therefore,
40(t+3) = 60t and
40t + 120 = 60t and
120 = 20t so
t = 6 hours.