Derek bought a pair of pants for $35 and 3 shirts. He spent a total of $62.50. How much did each shirt cost? What is the equation for X?
Answer:
62.25=35+3x
62.25-35=27.25
27.25=3x
divide both sides by 3
x=9.08 or just 9
What is the factored form. Help doing test rn!!!
Answer:
(y^3-2)(x^2-2)
Step-by-step explanation:
x^2y^3-2y^3 can be factored. This will be equal to y^3(x^2-2). Then for the other half it will be equal to -2(x^2-2). Because the insides are the same, the equation is the outside two number y^3 and -2 added together time the inside number x^2-2. This will make the expression (y^3-2)(x^2-2).
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Hello!
We will go tu use the pythagorean theorem!
So:
BA² = BC² + AC²
AC² = BA² - BC²
AC² = 52² - 20²
AC² = 2304
AC = √2304
AC = 48
A moving company wants to buy a new type of truck and needs to know the volume of the storage compartment before they can decide if they should purchase the truck. What’s is the volume of the storage compartment
Answer: jump off a cliff and shatter your bones
Step-by-step explanation:
Choose as many answers as apply.
Some things you may be able to borrow from the public library for free include:
audio tapes or CDs
sports equipment
video tapes for your VCR
magazines and books
Answer:
Hello, Your answer is Audio tapes/ CDS, Magazines and books
Sports equipment is something you Will Not find In the library.
Most librarys Do Not have VCR tapes
Hopes this helps
answer :
audio tapes or CD'svideo tapes for your VCR
magazines and bookssports equipment
The sum of two numbers is 261. Their difference is 175. Write a system of equations and solve to find the two numbers.
The value of the two numbers are 43 and 218
How to determine the valueFrom the information given, we have;
Let the numbers be x and y
Then,
The difference between the numbers = x - y
The sum of the numbers = x + y
Substitute the values
x + y = 261
x - y = 175
Let's solve the simultaneous equations
Make 'x' the subject from 1
x = 261 - y
Substitute the value in 2
261 - y - y= 175
collect the like terms
-2y = - 86
y = 43
Substitute to determine the value of x
x = 261 - y = 261 - 43 = 218
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The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tested positive, given that he or she did not have the disease.
The individual actually had the disease
No positive 9 negative 133
Yes
Positive 140
Negative 18
The probability is approximately.
The probability of getting someone who tested positive, given that he or she did not have the disease is 0.985
What is probability ?Probability is what has the potential to happen. This area of math examines how random events happen. A value between 0 and 1 is used to express it. In order to anticipate the possibility of events, probability has been introduced to mathematics. The degree of likelihood that something will happen can be used to define probability. This fundamental theory of probability, which is also applied to the probability distribution, can be used to estimate the likelihood of the results of a random experiment. We must first determine the total number of alternatives in order to determine the likelihood that a specific event will occur.
Given that : He or she did not have the disease. The individual actually had the disease No positive 9 , negative 133 Yes Positive 140 ,Negative 18 .
Yes No
Positive : 140 9
negative : 18 133
P = \(\frac{Someone get positive }{he not had the disease}\)
= \(\frac{140}{142}\)
=0.985
The probability of getting someone who tested positive, given that he or she did not have the disease is 0.985
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Eloise ran 2 3/12 miles yesterday and 1 8/12 miles today how far does Eloise run in all
Answer:
3 11/12
Step-by-step explanation:
Answer:
Different ways to answer
Step-by-step explanation:
mixed number: 3 11/12
decimal: 3.916 repeating
imporper fraction: 47/12
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Help pls will give brainlest
Answer:
90 degree rotation
Step-by-step explanation:
sequence three missing terms to comple 7444> →→19-
To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.
Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.
To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406
To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.
To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.
Therefore, the completed sequence is:
7444> →→19- → -7406 → -14831 → -22256
Each term in the sequence is obtained by subtracting 7425 from the previous term.
It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.
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2-D shape
Rectangle
Square
Parallelogram
Rhombus
Triangle
Illustration
Properties
1) What properties are common across a square and a rectangle and what is the
distinguishing feature?
(2)
2) Do you agree with the statement that a square is a special type of rectangle? Give a reason
for your answer.
(2)
3
3) What properties are common across a rhombus and a parallelogram and that is the
distinguishing feature?
5) What are the three features used to describe 3-dimensional objects?
(2)
4) Do you agree with the statement that a rhombus is is a special type of parallelogram? Give
a reason for your answer.
(2)
(2)
The distinguishing feature between a square and a rectangle is that all sides of a square are equal in length.
Yes, a square is a special type of rectangle because it possesses all the properties of a rectangle.
The distinguishing feature of a rhombus is that all sides are equal in length, while a parallelogram can have unequal side lengths.
Yes, a rhombus is a special type of parallelogram because it possesses the properties of a parallelogram and has all sides equal in length.
The three features used to describe 3-dimensional objects are faces, edges, and vertices.
The common properties between a square and a rectangle are that both have four sides, four right angles (90 degrees), and opposite sides that are parallel. The distinguishing feature is that all sides of a square are equal in length, while a rectangle can have unequal side lengths.
Yes, a square is a special type of rectangle. A rectangle is defined as a quadrilateral with four right angles, while a square is a specific type of rectangle where all sides are equal in length. Since a square possesses all the properties of a rectangle, including four right angles, it can be considered a special case of a rectangle.
The common properties between a rhombus and a parallelogram are that both have four sides and opposite sides that are parallel. The distinguishing feature of a rhombus is that all sides are equal in length, while in a parallelogram, the opposite sides are equal in length.
Yes, a rhombus is a special type of parallelogram. A parallelogram is defined as a quadrilateral with opposite sides that are parallel. A rhombus possesses this property, but it also has the additional feature of having all sides equal in length. Therefore, a rhombus can be considered a special case of a parallelogram.
The three features used to describe 3-dimensional objects are:
Faces: The flat surfaces that make up the object.
Edges: The lines where two faces intersect.
Vertices: The points where multiple edges meet.
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If you used a random number generator for the numbers from 1 through 20 to play a game, what is the theoretical probability of getting each of these outcomes?
a. A multiple of 3 or a multiple of 7, P(multiple of 3 or multiple of 7)
b. P(even or odd)
c. P(prime or 1)
Answer: See below
Step-by-step explanation:
Game 1:
20 total numbers
Probability = Multiples of 3 and 7/Total Numbers
P = 8/20
P = 2/5 or 40%
Game 2:
20 total even or odd numbers
Probability = Number of even and odd/Total Numbers
P = 20/20
P = 1 or 100%
Game 3:
8 prime numbers and 1 = 9 total
Probability = Number of prime numbers or 1/Total Numbers
P = 9/20 or 45%
a) The probability of a multiple of 3 or a multiple of 7 is 40%.
b) The probability of even and odd is 100%.
c) The probability of the number being prime is 45%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Game 1:
20 total numbers
Probability = Multiples of 3 and 7/Total Numbers
P = 8/20
P = 2/5 or 40%
Game 2:
20 total even or odd numbers
Probability = Number of even and odd/Total Numbers
P = 20/20
P = 1 or 100%
Game 3:
8 prime numbers and 1 = 9 total
Probability = Number of prime numbers or 1/Total Numbers
P = 9/20 or 45%
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For an investment of 26,245, a quarterly statement reports that the account is 26,292. The statement reports that for the same quarter, the rate of return of the investment was - 0.02%. Given the information regarding the investment quarterly activity, does the reported rate of return seem reasonable?
No. The reported return rate appears lower than expected.
Rate of returnsTo determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.
First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.
Then, we can use the following formula to calculate the expected rate of return:
Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1
Plugging in the given values, we get:
n = 1 (since we are only given information for a single quarter)
Initial investment = 26,245
Ending value = 26,292
Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%
Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.
Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.
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Which would be a correct first step to solve the following system of equations using the elimination method?
x + 3y = 16
2x + y = -18
A: Add the two equations together
B: Subtract the first equation from the second equation
C: Multiply the first equation by -2
D: Multiply the second equation by 2
Answer:
C: Multiply the first equation by -2
Step-by-step explanation:
-2 * (x + 3y = 16) = -2x-6y=-32
The resulting equation would be -2x-6y=-32
In the next if you add the two equations, you will successfuly eliminate x and can now solve for y.
-2x-6y=-32
2x + y = -18
Answer:
c
Step-by-step explanation:
x+3y=16________________eqn 1
2x+y=-18_______________eqn 2
multiply first equation by - 2
-2(x+3y=16)
-2x-6y= -32______________eqn 3
using elimination method
-2x-6y= -32
+
2x+y= -18
0-5y= -50
-5y= -50
divide both sides by -5
-5y/5= -50/5
y=10
substitute y in eqn 2 to find the value of x
2x+y= -18
2x+(10)= -18
2x+10= -18
2x= -18-10
2x= -28
divide both sides by 2
2x/2= -28/2
x= -14
7. Jason's filing status is head of household. He can deduct $4,359 inmortgage interest and real estate tax, $1,650 for charitable contributions,and $854 in state and local taxes. What is the total of these deductions?a.b.C.$6863; itemize$6983; standard deduction$6998; itemize
Answer:
$6,863
Explanation:
Deductions
0. Mortgage interest and real estate tax = $4,359
,1. Charitable contributions = $1,650
,2. State and local taxes = $854
Total = 4359 + 1650 + 854
=$6,863
The total of these deductions is $6,863.
The director of a basketball camp estimates that the number N of students who will enroll in a basketball camp can be modeled by
N = −0.3t + 250,
where t is the tuition for the camp in dollars.
(a)
What is the N-intercept?
(t, N) =
(b)
Write a sentence that explains the answer to part (a) in the context of the problem.
If the tuition was $
, then
students would enroll in the basketball camp.
(c)
What is the t-intercept? (Round your answers to two decimal places when necessary.)
(t, N) =
(d)
Write a sentence that explains the answer to part (c) in the context of the problem. (Round your answers to two decimal places when necessary.)
If the tuition was approximately $
, then
students would enroll in the basketball camp.
Answer:
Step-by-step explanation:
(a) To find the N-intercept, we set t to 0 in the equation N = -0.3t + 250:
N = -0.3(0) + 250
N = 250
Therefore, the N-intercept is (0, 250).
(b) The N-intercept is the point on the graph where the tuition is $0 and represents the number of students who would enroll in the basketball camp if it were free. In this case, if the tuition was $0, 250 students would enroll in the basketball camp.
(c) To find the t-intercept, we set N to 0 in the equation N = -0.3t + 250 and solve for t:
0 = -0.3t + 250
0.3t = 250
t = 250/0.3
t ≈ 833.33
Therefore, the t-intercept is approximately (833.33, 0).
(d) The t-intercept is the point on the graph where the number of students who enroll in the basketball camp is zero and represents the tuition that would need to be charged for no students to enroll. In this case, if the tuition was approximately $833.33, no students would enroll in the basketball camp.
p=(m+n)/-5 solve for n
n= -5p - m
dis is 20 characterrs now
The cost to rent a car from Rent a Wreck is $15 a day plus a $30 deposit. The cost to rent a car from Barely Running is $20 a day. How many days would you have to rent the car for the cost of both companies to be the same?
In the equation , cost of both companies will be same to rent a car is 6 days.
What is equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here the deposit for the rent car in Wreck = $30
Cost for renting in Wreck = $15 per day
Cost for renting in Barely = $20 per day.
Here let us take the number of days as x.
Then, Cost for renting in Wreck = 15x+30
Cost for renting in Barely = 20x
To rent a car , if cost of both companies is same then the equation is,
=> 15x+30 = 20x
=> 20x-15x = 30
=> 5x = 30
=> x = 30/5 = 6
Hence We have to rent a car for 6 days the cost of both companies to be the same.
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can I get help with this
Convertion
2 km lh to m/s
Answer:
\(\huge\boxed{2\dfrac{km}{h}=\dfrac{5}{9}\ \dfrac{m}{s}\approx0.56\dfrac{m}{s}}\)
Step-by-step explanation:
\(1km=1,000m\\1h=3,600s\\\\2\dfrac{km}{h}=2\cdot\dfrac{1000m}{3600s}=2\cdot\dfrac{10m}{36s}=\dfrac{20}{36}\ \dfrac{m}{s}=\dfrac{20:4}{36:4}\ \dfrac{m}{s}=\dfrac{5}{9}\ \dfrac{m}{s}\approx0.56\dfrac{m}{s}\)
!!!!!!! Why isn't A the correct answer? I am having trouble to reason why A is wrong so please help if can!
Answer:
d. x = -3
Step-by-step explanation:
\(\sqrt{(x + 3)}\)÷ (x+8)(x-2) = 0
f(x) / g(x) = 0
Variable x cannot be equal to any of the values −8,2 since division by zero is not defined. Multiply both sides of the equation by (x−2)(x+8).
\(\sqrt{(x + 3)}\) = 0 ------ square both sides
x + 3 = 0
solve for x:
x = -3
in the design a regular hexagon is inscribed in a circle point q will map onto which point after a 120 degree clockwise rotation around the center
Given a regular hexagon
At first we should know that, the angle of rotation between any two consecutive two points will be 360/6 = 60
So,
So, the point q after rotation of 120 degree clockwise will be point S
The answer is option A. Point S
Given
A ∆GHJ with k
GH
L on GI
are K and L the midpoints of GH and GJ respectively?
is KL || HJ?
is HJ = 2KL?
Answer:
Is there diagram for this?
find the variable
1) 3x +25= 2x
A bank wants to attract new customers for its credit card. The bank tries two different approaches in the marketing campaign. The first promises a cash back reward; the second promises low interest rates. A sample of 500 people is called the first brochure; of these, 100 get the credit card. A separate sample of 500 people is called the second brochure; 125 get the credit card. The bank wants to know if the two campaigns are equally attractive to customers. What is a 95% confidence interval for the difference in the two proportions
Answer:
Step-by-step explanation:
Confidence interval for the difference in the two proportions is written as
Difference in sample proportions ± margin of error
Sample proportion, p= x/n
Where x = number of success
n = number of samples
For the first brochure,
x = 100
n1 = 500
p1 = 100/500 = 0.2
For the second brochure
x = 125
n2 = 500
p2 = 125/500 = 0.25
Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, the z score for confidence level of 95% is 1.96
Margin of error = 1.96 × √[0.2(1 - 0.2)/500 + 0.25(1 - 0.25)/500]
= 1.96 × √0.000695
= 0.052
Confidence interval = (0.2 - 0.25) ± 0.052
= - 0.05 ± 0.052
What is the slope of the line that contains the points (4, 3) and (2, 7)?
PLEAS HELP ASAP :)))))
Answer:
18 inches
Step-by-step explanation:
54*1/3=18(inches)
HELPPPPPPPPPPPPPPPPPPPP
Answer:
(-3, -1)
(-4, -6)
Step-by-step explanation:
The third quadrant is the bottom left quarter of the coordinate grid, so points with a negative x and a negative y would be in it.
I need help with conversation rates. So it says
Approximately 30,300 citizens of a country died in an automobile accidents in 2015. Express this toll in deaths per day.
Answer:
144 deaths
Step-by-step explanation:
So, assuming it's not a leap year 30,300 must be divided by the number of days in the year to get the daily amount.
30,300/365 = 114.339....
since 3 is not greater than 5, the 144 does not round up but stays the same.
(Since you cannot have a fraction of a death)
114 is your answer
hope this helps :)
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