The Jordan's Michael wanted were on sale for 20% off. The original price of the sneakers is $185.00. How much is the sale? Show your work
The price will be $148. $185 - 20% =$148.
help me please :)
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Answer:
[tex]x = \frac{5}{3}[/tex]
Step-by-step explanation:
The expression under the square root is [tex]\sqrt{4x^2 - 20x + 25}[/tex]
This is equivalent of [tex](2x-5)^2[/tex]
We can check this by using the formula
[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]
where [tex]\\a = 2x so a^2 = (2x)^2 = 4x^2\\\\b = -5 so b^2 = (-5)^2 = 25\\\\2ab = (2)(2x)(-5) = -20x\\[/tex]
So
[tex]\sqrt{4x^2 - 20x + 25} = \sqrt{(2x-5)^2}[/tex] which is [tex](2x-5)[/tex]
(The square root of the square of an expression is the expression itself)
So that gives us
[tex]2x - 5 = 5-2x\\[/tex]
Collecting like terms on each side gives us
[tex]2x + 2x = 5 -(-5)\\\\4x = 10\\\\x = 10/4 = 5/3[/tex]
Solve the absolute
[x] - 7 =-3
What is the geometric sequence formula for 1/5, 1/25, 1/125, 1/625, ...
Given points A(2,1,3) and B(0,5,0), find a point C in the xy-plane that creates an isosceles right triangle such that:_______
a. AB and BC are the legs of the right triangle
b. AB is the hypotenuse of the right triangle (for part ii, just doing all the set-up work is sufficient; you do not need to solve and find the points)
Answer:
a.)Point C will be either (4.82, 7.41) or ( -4.82, 2.59)
b.) -x² + 2x + 6y - y² - 5= 0 , 8y - 4x = 11
Step-by-step explanation:
As given A(2,1,3) and B(0,5,0)
a.)
We have to find C in the xy-plane
⇒ C is of the form (x, y, 0) ( Because in xy plane , z coordinate is zero)
Now, given AB and BC are the legs of the right triangle .
AB = (0, 5, 0) - (2, 1, 3) = ( -2, 4, -3)
BC = (x, y, 0) - (0, 5, 0) = ( x, y-5, 0)
As AB and BC are legs of triangle
⇒AB is perpendicular to BC
⇒(AB).(BC) = 0
⇒( -2, 4, -3).( x, y-5, 0) = 0
⇒ -2x + 4(y-5) -0 = 0
⇒ -2x + 4y- 20 = 0
⇒ -x + 2y- 10 = 0
⇒ 2y = 10 + x
⇒ y = 5 + [tex]\frac{x}{2}[/tex] ......(1)
As ABC is making an isosceles right triangle
It means two sides of the triangle are equal
Now,
|AB| = √(-2)² + (4)² + (-3)² = √4+16+9 = √29
|BC| = √(x)² + (y-5)² + 0² = √(x)² + (y-5)²
Now,
AS AB = BC
⇒|AB| = |BC|
⇒|AB|² = |BC|²
⇒29 = (x)² + (y-5)²
⇒29 = (x)² + (5 + [tex]\frac{x}{2}[/tex] -5)²
⇒29 = (x)² + ( [tex]\frac{x}{2}[/tex] )²
⇒29 = x²( 1 + [tex]\frac{1}{4}[/tex] ) = x²( [tex]\frac{5}{4}[/tex] )
⇒ x² = [tex]\frac{116}{5}[/tex] = 23.2
⇒ x = 4.82 , -4.82
⇒y = 7.41 , 2.59
so, Point C will be either (4.82, 7.41) or ( -4.82, 2.59)
b.)
As given AB is the hypotenuse of the right triangle
S, AC and CB will perpendicular to each other
Now,
AC = (x, y, 0) - ( 2, 1, 3) = ( x-2, y-1, -3)
CB = (0, 5, 0) - (x, y, 0) = (-x, 5-y, 0)
As, AC and CB is perpendicular
⇒(AC).(CB) = 0
⇒( x-2, y-1, -3).(-x, 5-y, 0) = 0
⇒(x-2)(-x) + (y-1)(5-y) - 0 = 0
⇒-x² + 2x + 5y - y² - 5 + y = 0
⇒-x² + 2x + 6y - y² - 5= 0 ..........(2)
As ABC is making an isosceles right triangle
It means two sides of the triangle are equal
Now,
|AC| = √(x-2)² + (y-1)² + (0-3)² = √(x-2)² + (y-1)² + 9
|BC| = √(x)² + (y-5)² + 0² = √(x)² + (y-5)²
Now,
AS AC = BC
⇒|AC| = |BC|
⇒|AC|² = |BC|²
⇒(x-2)² + (y-1)² + 9 = (x)² + (y-5)²
⇒x² + 4 - 4x + y² + 1 - 2y + 9 = x² + y² + 25 - 10y
⇒ 4 - 4x + 1 - 2y + 9 = 25 - 10y
⇒14 - 4x - 2y = 25 - 10y
⇒10y - 2y - 4x = 25 - 14
⇒8y - 4x = 11 ........(3)
Now, we have 2 equations
-x² + 2x + 6y - y² - 5= 0 , 8y - 4x = 11
Solve these equations to find x, y
Working together, it takes two computers 12 minutes to send out a company's email. If it takes the slower computer 30 minutes to do the job on its own, how
long will it take the faster computer to do the job on its own?
Do not do any rounding?
Answer:
The faster computer will complete the job in 20 minutes alone.
Step-by-step explanation:
Given that:
Time taken by both computers = 12 minutes
Time taken by slower computer = 30 minutes
Let,
x be the time taken by faster computer.
[tex]\frac{1}{x}+\frac{1}{30} = \frac{1}{12}[/tex]
[tex]\frac{1}{x} = \frac{1}{12}-\frac{1}{30}\\\\\frac{1}{x} = \frac{5-2}{60}\\\\\frac{1}{x} = \frac{3}{60}\\\\\frac{1}{x} = \frac{1}{20}\\\\x= 20[/tex]
Hence,
The faster computer will complete the job in 20 minutes alone.
Write the linear equation in slope-intercept form if
Slope = 1/2
y-intercept is -7
The Hollywood cats are a group of cats that have settled in along the Hollywood Beach in Florida. A group of volunteers feed them and care for them while trying to humanely reduce their numbers (as they are considered a nuisance). If there were 100 cats in the year 2012 and the rate of population change is given
Complete Question
The Hollywood cats are a group of cats that have settled in along the Hollywood Beach in Florida. A group of volunteers feed them and care for them while trying to humanely reduce their numbers (as they are considered a nuisance). If there were 100 cats in the year 2012 and the rate of population change is given
by [tex]-\frac{1}{4} t-2[/tex]
where t is measured in years, how many cats are projected to be in the group in 2020.
Answer:
The number of total cats left after 8 years T
[tex]T=76[/tex]
Step-by-step explanation:
From the question we are told that
Number of cats 2012 n=100
Number of years t=2012-2020=>8 years
Generally the equation of change in population is mathematically Given as
[tex]\frac{dp}{dt}= -\frac{1}{4} t-2[/tex]
[tex]\int dp=\int_0^8 (-\frac{1}{4} t-2)[/tex]
[tex]p=\frac{-64}{8} -16[/tex]
[tex]p=-24cats[/tex]
Therefore the number of total cats left after 8 years T is given as
[tex]T=100-24[/tex]
[tex]T=76[/tex]
true false or not enough information??
Answer:
True.
Step-by-step explanation:
The range of the 10 values is 10 - 3 = 7 so that is true.
The median will be the mean of the 2 middle values so that is possible also. The distribution could be, for example:
3 3 3 4 4 4 7 8 8 10 when the median = (4 + 4) / 2 = 4.
Answer:
True.
Step-by-step explanation:
the range of 10 values is 10-3 = 7 so that is true
which of these numbers has exactly two factors, 7,8,9,10
Answer:
It's 7
Step-by-step explanation:
The Humphrey family is traveling 1,325 miles for their family vacation. Last year, they traveled 724 miles. They drove 420 miles earlier in the week and have driven 130 miles so far today. How many miles do they have left to travel?
Answer: They have 775 miles left to be traveled
Step-by-step explanation:
Miles required to travel for vacation = 1,325 miles
Miles already traveled = Miles driven this week + miles driven today
= 420 miles + 130 miles
-=550 miles
Miles remaining to be covered =Miles required to travel for vacation --- Miles already traveled
= 1,325 miles - 550 miles
= 775 miles
Answer:
1762 is the answer
Step-by-step explanation:
Please help and explain
True or False: The magnitude of a resultant vector will always be larger than individual vectors that are both in the first quadrant
Answer:true
Step-by-step explanation:
Yousef saves $25 each month for a year. One year is 12 months. How much money does he save in one year?
Answer:
300
Step-by-step explanation:
25 x 12
Answer:300
Step-by-step explanation: its just 25 x 12
10 MINUTES UNTIL I HAVE TO TURN TEST IN
HELP PLS :)
Answer:
10) Total Discount = $15 dollars; New Amount = $60 dollars.
11) Total Markup = $3,750 dollars; New Amount = $28,750 dollars.
12a) Percent Increase from $100 to $150: 50% increase.
12b) Percent Decrease from $150 to $100: 33.33% decrease.
Step-by-step explanation:
I would be more than happy to show my work, but I see that you have to submit your test soon, so I will just leave it at this for now. If you need any clarification, I am more than happy to help. Feel free to give me Brainliest if you feel this helped! Have a good day, and good luck on your test. :)
Mr. Johnson buys 50 pencils and gives 30 of them to his students.
Which percent of the pencils did he give to his students?
A
16%
B
20%
С
60%
D
80%
1
2.
3
4
Answer:
c
Step-by-step explanation:
Solve.
log6x+log6(x−1)=1
Enter your answer in the box.
x = ?
Answer:
7
Step-by-step explanation:
hhfndbdbdbueheheheheheheh
hat is the product of 4.01 × 10-5 and 2.56 ×108?
Answer:
35.1 and 276.48
Step-by-step explanation:
Answer:
The correct answer is: 1.0266 ×104
Step-by-step explanation:
The figure below is a square with dimensions given.
Part A: What is the perimeter of the square in terms of x?
2x - 1 in
Perimeter = ________
Part B: If the length of each side of the square is doubled, what would be the perimeter of this new square, in terms of x?
Perimeter = ________
Part C: If x = 5, what would be the ratio of the area of the original square to the area of the new square?
Answer: ____________________
Answer:
A: 8x-4
B: 16x-8
C: 1:2
Step-by-step explanation:
Find the percent of a number 20% of 155
Hey there!
[tex]\text{The word \underline{of} means \underline{multiply} in \underline{mathematical terms}}[/tex]
[tex]\bold{Equation: 20\% \times 155}\\\bold{20\% = \dfrac{20}{100}=\dfrac{20\div20}{100\div20}=\dfrac{1}{5}}\\\bold{\dfrac{1}{5}\times 155=?}\\\bold{155\times1=155}\\\\\bold{\dfrac{155}{5}=31}\\\boxed{\boxed{\bold{Answer: 31}}}\huge\checkmark[/tex]
Good luck on your assignment and enjoy your day!
~[tex]\frak{Amphitrite1040:)}[/tex]
Can someone please help me answer this!!!
Answer:
32 to 40 minutes
Step-by-step explanation:
х
0
100
200
300
у
1.5
36.5 71.5 106.5
Answer:
oh
Step-by-step explanation:
Answer:
y = 0.335x + 1.5
Step-by-step explanation:
First, find the slope using two of the given pairs, say, (0, 1.5) and (100, 36.5):
Slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{36.5 - 1.5}{100 - 0} = \frac{35}{100} = 0.35 [/tex]
find the y-intercept (b):
y-intercept (b) is 1.5. At y = 1.5, the value of x is 0. Thus, the y-axis is intercepted by the line.
b = 1.5.
✔️Substitute m = 0.35 and b = 1.5 into y = mx + b.
y = 0.35x + 1.5
Plz guys I rlly need help
y = 3.915(1.106)x.
In terms of the water lily population change, the value 3.915 represents:
Answer: the initial number of water lily’s
Step-by-step explanation:
the value 1.106 represents the population increase rate
edge 2021
The value 3.915 represents the initial population of water lilies
Expoenential equationsThe standard exponential equation is given as y = ab^x
where;
a is the initial populationb is the rate (growth or decline)Given the exponential equation y = 3.915(1.106^x
On comparison, we can see that;
a = 3. 915
This shows that the value 3.915 represents the initial population of water lilies
Learn more on exponential equation here: https://brainly.com/question/2456547
Which of the following statements can be assumed from the diagram?
Answer:
the last answer choice is one of them for sure.
Step-by-step explanation:
Line A and F intersects line BC
64 people ordered a veggie burger at a local hamburger stand out of 160 people in an hour. What percentage of the customers ordered a veggie burger ?
A 40%
B 60%
C 64%
Answer:
A
Step-by-step explanation:
A candy bar is 9/15 of an inch long. If it is divided into pieces that are 1/5 of an inch long, then how many pieces is that?
Answer:
3 pieces
Step-by-step explanation:
Drag Each expression to show whether it is equivalent to 6.7-(-2.5), 6.7+(-2.5), or neither.
Answer:
Step-by-step explanation:
6.7 – (-2.5)
2.5+6.7
6.7 + (-2.5)
-2.5+6.7
6.7-2.5
neither
-2.5-6.7
2.5-6.7
-6.7+2.5
A simple random sample of size n is defined to be a sample of size n chosen in such a way that every unit in the population has the same chance of being selected. a sample of size , n, chosen in such a way that every unit in the population has the same chance of being selected. a sample of size n chosen in such a way that every unit in the population has a known nonzero chance of being selected. a sample of size , n, chosen in such a way that every unit in the population has a known nonzero chance of being selected. a sample of size n chosen in such a way that every set of n units in the population has an equal chance to be the sample actually selected. a sample of size , n, chosen in such a way that every set of , n, units in the population has an equal chance to be the sample actually selected. a sample of size n chosen in such a way that each selection is made independent of every other selection. a sample of size , n, chosen in such a way that each selection is made independent of every other selection. all of the above. They are essentially identical definitions. all of the above. They are essentially identical definitions.
Answer: a sample of size n chosen in such a way that every unit in the population has the same chance of being selected
Step-by-step explanation:
A simple random sampling technique represents the most basic Sample representation or selection method with very less bias and it makes affords all observations an equal chance or probability of being a part of the selected sample. Hence, samples selected using this technique are regarded as being representative of the population or larger sample from which the sample was drawn. This is because sampling bias in a simple random variable is extremely minimal.
what is the measure of the angle?
5
a 53.1°
b. 36.9°
C. 30.10
d. 590
Answer:
a
Step-by-step explanation:
Abdul earns $13.00 in interest each month for six months. How much interest will Abdul have earned at the end of six months?
answer:
78
-- please mark the brainliest and click the thanks button if correct :)
Answer:
$78
Step-by-step explanation:
13 * 6 is 78
I hope that helps broski