The amount he would pay is $46.40.
How much will he pay?
Percentage can be described as the fraction of an amount that is expressed as a number out of hundred. The sign used to represent percentages is %.
The amount paid = list price of the first shirt + [list price of the second shirt x ( 1 - percentage discount)]
$29 + [$29 x (1 - 0.4)]
$29 + ($29 x 0.6) = $46.40
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P is the point (2, 3) and Q is the point (9, 5).
(a) Find the equation of the line joining PQ.
(b) Find the coordinates of the point where the line PQ intersects the x-axis.
(c) The line y = 5 is the line of symmetry of △PQR. Find the coordinates of R.
(d) Calculate the area of △PQR.
(e) Calculate the length of PQ and hence calculate the perpendicular distance from R to the line PQ.
We get that the equation of the line PQ will be 2 x - 7 y + 17 = 0.
A) We know that the equation of the line is:
y - y₁ = m (x - x₁)
where m = y₂ - y₁ / x₂ - x₁
Now, we have:
P = ( x₁, y₁) = (2, 3)
Q = (x₂, y₂) = (9, 5)
We get m by substituting the values as:
m = 5 - 3 / 9 - 2 = 2 / 7
The equation then will be:
y - y₁ = 2 / 7 (x - x₁)
Substituting the values, we get that:
y - 3 = 2/7 ( x - 2)
7 y - 21 = 2 x - 4
2 x - 7 y - 4 + 21 = 0
2 x - 7 y + 17 = 0
B) When PQ will intersect x-axis, then the point will be = ( x, 0)
2 x - 7 y + 17 = 0
2 x - 7 (0) + 17 = 0
2 x = -17
x = - 17 / 2
Point = (-17 / 2 , 0)
Therefore, we get that the equation of the line PQ will be 2 x - 7 y + 17 = 0.
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_____= 240 mL
Group of answer choices
4 oz
4 pints
1 cup
8 drams
The volume 240 ml to oz is 8 oz.
How to find volume in different units?The volume is in millilitres. Therefore, we have to convert to other units.
1 ml = 0.033814 oz
1 ml = 0.00175975 pints
1 ml = 0.00422675 cup
1 ml = 0.57 grams
Hence, lets convert the volume to the various units.
1 ml = 0.033814 oz
240 ml = ?
cross multiply
volume = 240 × 0.033814 = 8.11536 oz = 8 oz
1 ml = 0.00175975 pints
240ml = ?
volume = 0.00175975 × 240 = 0.42216 = 0.4 pints
1 ml = 0.00422675 cup
240 ml = ?
volume = 0.00422675 × 240 = 10.1442 cups
1 ml = 0.57 grams
240 ml = ?
volume = 0.57 × 240 = 136.8 grams
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Which of the following is a valid claim based on the graph?
Time Spent Studying for
Math Mid-Term Exam
il..
Sandra Evan
Marie Ted Jose
Students
OA. Marie finds math easier than the other students.
Time (in hours)
O B. Marie had another test to study for the same night.
4
OC. Evan received the highest score on the exam.
O D. Evan studied twice as long as Ted.
A valid claim based on the graph is that: D. Evan studied twice as long as Ted.
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
By critically observing the graph (see attachment), we can logically deduce the following data points:
Sandra's study time, S = 4 hours.Evan's study time, E = 6 hoursMarie's study time, M = 1 hour.Ted's study time, T = 3 hours.Jose's study time, J = 4 hours.From the information provided, we have the following true statements:
S = T
E = 2T
In conclusion, we can reasonably infer and logically deduce that a valid claim based on the graph is that Evan studied twice as long as Ted.
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Can someone solve just the c problem
Applying the distributive property, the solution of x for item c is given as follows:
x = (3a - 8 - b)/(a - b).
What is the distributive property?The distributive property is when the outside term multiplies each of the inside terms of an expression.
For example, in this problem:
a(x - 3) = ax - 3a.b(x - 1) = bx - b.Hence the solution for x of the expression is found as follows:
a(x - 3) + 8 = b(x - 1).
ax - 3a + 8 = bx - b
ax - bx = 3a - 8 - b
x(a - b) = 3a - 8 - b
x = (3a - 8 - b)/(a - b).
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Joe ran 400 meters in 1.5 minutes and 800 meters in 3 minutes. Is there a proportional relationship between number of meters Joe ran the number of minutes he ran?
The relationship between two variables are proportional if their ratios are equivalent (taken from Khan Academy).
To determine whether or not a relationship is proportional, we can see if two given ratios are the same.
Solving the QuestionWe're given:
Joe ran 400 meters in 1.5 minutes Joe ran 800 meters in 3 minutesThese pieces of information are ratios. We can write them in the following format:
[tex]\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}[/tex] and [tex]\dfrac{800\hspace{4}meters}{3\hspace{4}minutes}[/tex]
We can see if they're equivalent by finding a common denominator.
Multiply the first ratio by [tex]\dfrac{2}2[/tex]:
[tex]\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}*\dfrac{2}{2}\\\\= \dfrac{800\hspace{4}meters}{3\hspace{4}minutes}[/tex]
The ratios are equivalent. Therefore, the relationship between the number of meters Joe ran and the number of minutes he ran is proportional.
AnswerYes, there is a proportional relationship.
4.25-1.25x=0 what is x someone help please
Answer:
3.4
Explanation and Check part below
Hope this helps :)
Step-by-step explanation:
Steps
1. Isolate the variable subtract 4.25 since it's positive.
4.25 - 1.25x = 0
- 4.25 - 4.25
- 1.25x = - 4.25
2. Divide by - 1.25 in both sides of equation.
- 1.25x = - 4.25
--------- ---------- <------- fraction bar/ divide
-1.25 -1.25
x = 3.4
Check:
4.25 - 1.25 (3.4) = 0
4.25 - 4.25 = 0
0 = 0
True statement.
There are 8 adults in line for a ride. The line has 4 fewer children than adults. How many people are in line? Explain your answer.
Answer:
12 People
Step-by-step explanation:
To start you have 8 people for sure. Then you know that there are 4 fewer children. So then you subtract 4 from 8 and get four. Four plus eight is twelve!
The number of people in line will be 12.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
There are 8 adults in line for a ride. The line has 4 fewer children than adults. Then the number of children will be
⇒ 8 - 4
⇒ 4 children
Then the number of people in line will be
⇒ 8 + 4
⇒ 12
The number of people in line will be 12.
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emiah The length of a ruler is 12 inches. There are approximately 25.4 millimeters in 1 inch. Which measurement is closest to the length of the ruler in millimeters? A 3,048 mm B 30.48 mm C304.8 mm D 3.048 mm
Answer:
C 304.8
Step-by-step explanation:
Answer:
C 304.8 mm
Step-by-step explanation:
12*25.4 = 304.8
Need help with this paper please
Answer:
Step-by-step explanation:
The probability that a live birth requires a cesarean delivery in a certain American state is 0.248. If 8 live births occur independently in this state, compute the probability that at least one of the births requires a cesarean delivery.
i need help on this question
The probability that at least one of the births requires a cesarean delivery is 0.897.
To calculate prob(x >= 1):
prob(x>=1) = 1 - prob(x = 0)
= 1 - (1-0.248)^8
= 0.897
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Debra bought 1.025 pounds of ham and 1.143 pounds of turkey. Each pound of ham and turkey costs $5.00. How much did Debra spend?
Answer:
10.84
Step-by-step explanation:
1.025*5+1.143*5=10.84
An athlete is throwing a javelin on an open field, and the image below shows the path, or arc of the javelin's
path, on its journey from his hand to the ground. The path is measured in feet. This example is modeled
by a quadratic function. What are the domain and range of the function, and what do they represent?
Total path coered by the javelin in horizontal direction is domain
Maximum height achieved by the javelin is its range
The polynomial equations of degree two in one variable of type f(x) = ax² + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f(x). The roots of the quadratic equation are the values of x that fulfill the equation (α,β ).
It is a given that the quadratic equation has two roots. Roots might have either a real or imaginary nature.
Total path coered by the javelin in horizontal direction is domain
Maximum height achieved by the javelin is its range
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Please help me solve this question. The correct answer will be marked as brainliest
Answer:
No
Step-by-step explanation:
The largest number would have 6 counters in the 10s and the remainder the in the 1s column making the number 63 which is greater than 51.111
Find the perimeter and are of the trapezoid
Answer:
47.7ft
Step-by-step explanation:
12.8ft+6.2ft+13.9ft+15.5ft=47.7ft
StartFraction (9.6 times 10 Superscript negative 8 Baseline) Over (3.2 times 10 Superscript 4 Baseline) EndFraction
The correct options applied for the question are-
B.The solution's exponent is -12.
C.The solution's coefficient ≥ 1 but < than 10.
D 3.0×10⁻¹² is the quotient.
What is described as the exponent?A symbol compiled above and on the right of a mathematical equation to represent the operation of increasing to a power.In scientific notation, we are calculating the quotient of the expression below.As, per the given question,
The equation stated can be written as;
= (9.6×10⁻⁸)/(3.2×10⁴)
Use the power rule of exponents;
= (9.6×10⁻⁸×10⁻⁴)/(3.2)
Add both the power of base 10 with sign as the same base is there.
= ((9.6×10⁻⁸⁻⁴)/(3.2)
= (9.6×10⁻¹²)/(3.2)
Divide the numerator by 3.2
= 3.0×10⁻¹²
The following conclusions are possible:
B.The solution's power of ten is -12, which is the difference of the original exponential function.
C.The coefficient is 3, which is greater than one but less than ten.
D. 3.0×10⁻¹² is the quotient.
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The complete question is-
What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply. Start Fraction (9.6 times 10 Superscript negative 8 Baseline) Over (3.2 times 10 Superscript 4 Baseline) End Fraction
A.The coefficient of the solution is 6.4, the difference of the original coefficients.
B.The exponent of the solution is –12, the difference of the original exponents.
C.The coefficient of the solution must be greater than or equal to one but less than 10.
D.The quotient is 3.0 × 10-12
E.The solution is a very large number.
Answer: ur mom
Step-by-step explanation:
If lineman works 9-
hours a day on a certain job at $26.00 per hour, what is the pay for a day?
Answer:
234$
Step-by-step explanation:
9x26=234
Which of the following characteristics is not associated a general journal
The characteristics which is not associated a general journal is that transactions are ordered from greatest to smallest.
Given that four options which are as under:
1) Transactions are ordered from greatest to smallest,
2) It is used daily to record transactions,
3) Events are listed in chronological order,
4) The amount credited equals the amount debited.
We are required to choose the correct option which is not a characteristics of general journal.
A general journal is basically an initial record-keeping that records all the transactions except those recorded in a specialty journal like a cash journal, purchase journal, etc.
The option which is correct is option a which tells that transactions are ordered from greatest to smallest.
Hence the characteristics which is not associated a general journal is that transactions are ordered from greatest to smallest.
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Question is incomplete. It should include the following options:
1) Transactions are ordered from greatest to smallest,
2) It is used daily to record transactions,
3) Events are listed in chronological order,
4) The amount credited equals the amount debited.
Stretched 1 cm beyond its natural length, a rubber band exerts a restoring force of magnitude 2 newtons. Assuming that Hooke's Law applies, answer the following questions:
(a) How far will a force of 3 newtons stretch the rubber band?
(b) How much work does it take to stretch the rubber band this far?
A) The distance that a force of 3 newtons would stretch the rubber band is; 0.015 m
B) The amount of work it takes to stretch the rubber band this far is; 0.0225 J
How to solve Hooke's Law?
From Hookes's law, as long as the elastic limit is not exceeded the extension is directly proportional to the force applied.
F = Ke
Where;
F = force
K = force constant
e = extension
Thus, for a restoring force of magnitude 2 newtons ;
2 N = K(1 × 10⁻²) m
K = 2 N /(1 × 10⁻²) m
K = 200 N/m
a) For a force of 3 newtons, we have;
3N = 200 N/m × a
Where a is the extension in meters
a = 3N/200 N/m
a = 0.015 m
b) The formula to find the work done is;
P.E = ¹/₂Ke²
P.E = ¹/₂ * 200 * 0.015²
P.E = 0.0225 J
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kofi use 15min to type 500papers. How many minutes will he take 900papers
Answer:
27 minutes
Step-by-step explanation:
Hello!
500 and 900 are both multiples of 100, so let's first find the rate at which it takes Kofi to type 100 pages.
15m = 50015m / 5 = 500/53m = 100It takes 3 minutes to type 100 papers.
Since 900 is 9 times 100, we can also multiply the time by 9.
3m = 1003m*9 = 100*927m = 900It takes 27 minutes to type 900 papers.
The line of reflection is the y-axis.
True
False
Answer: True :)
Step-by-step explanation:
For the universal set, u= (5, 6, 7, 8, 9) , complete the parts below.
Write your answers in roster form or as .
Given the subset A, the complement of A, A' is {6}
Given the complement of C, C is {5, 7, 9}
What are the answers in roster form?The universal set contains all the elements of the subsets. ' means complement = it means elements that are not in the subset but in the universal set.
To write a set in a roster form, the elements in the set are written in a row within curly brackets - { }. The elements in the set are then separated by commas.
A' = {6}
C = {5, 7, 9}
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9. Use the following data. 15, 24, 32, 46, 46, 58. Match the measures on the left with the values on the right.
1. median
2. mode
3. mean
4. range
An oatmeal cookie recipe calls for 1/3 cup of butter to make 12 cookies. Hilda needs to make 36 cookies for the bake sale. How many cups of butter will she need?
Answer:3/3 cup or 1 full cup
Step-by-step explanation:1/3 cup=12
2/3 cup=24
3/3 or 1 whole cup=36
4) Joe took 15 small erasers and placed them on his
rectangular desk What is one way you could describe
how Joe could place the erasers in an array. Then write
the multiplication fact for it.
Joe could arrange the eraser in an array by placing 5 rows of 3 erasers each. The multiplication fact for this representation in an array is given by 5 × 3 .
A group of numbers or objects that will follow a predetermined pattern are referred to as an array in mathematics.
An array is a systematic arrangement, frequently in rows, columns, or a matrix, that is most frequently used as a visual aid for multiplying and dividing numbers.A matrix is a rectangular array or table with rows and columns of numbers, symbols, or expressions that is used to represent a mathematical object or an attribute of one.Here Joe has 15 eraser and he placed them on his rectangular bench.
Assuming that the erasers are all uniform , Joe placed them on the bench in an array of 5 rows each containing 3 erasers.
The multiplication fact for this representation in an array is given by
5 × 3 .
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Question 5
Calculate the percentage rounded to a whole number. 140 is what percentage of 206?
Find the length of AD. Round the answer to the nearest hundredth.
A. 5
B. 5.1
C. 5.42
D. 6.23
Answer: C 5.42
Step-by-step explanation:
Perform the indicated operation & simplify. Express the answer as a complex number. ( 12 − 11 i ) 2
The answer is 24 - 22i
The answer we got is a complex number.
We are asked to find out the multiplication of a complex number and a real number.
The general form of a complex number is a + bi.
If we need to find the product of a complex number and a real number,
then, we need to multiply the real and imaginary parts by the real number and write down the answer.
The real number given is 2.
And the complex number given is 12 - 11i.
The real part of the complex number is 12.
And the imaginary part of the complex number is -11.
When the real part of the complex number is multiplied by the real number, we get 12 × 2 = 24.
When the imaginary part of the complex number is multiplied by the real number, we get (-11) × 2 = -22
Therefore, the required complex number is 24 - 22i
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7/5 fracción simplificada
Answer:
1,4
Step-by-step explanation:
7/5
Esto es una división, solo divide y ya
Question
The value of y varies directly as a, and y = 2 when x = 8. Find the equation represents this relationship.
Optionally you can replace 0.25 with the fraction 1/4
===================================================
Explanation:
The variable y varies directly with x, which means we have the template of y = kx for some constant k.
Plug in x = 8 and y = 2. Then solve for k
y = kx
2 = k*8
8k = 2
k = 2/8
k = 1/4
k = 0.25
Therefore, we go from y = kx to y = 0.25x
-------------
Check:
Plugging in x = 8 should get us to y = 2
y = 0.25x
y = 0.25*8
y = 2
The answer is confirmed.
Toby needs to save a minimum of $250. If Toby can save $57 a month, how many months will it take for him to save enough? Select the inequality that represents this situation
Answer:
[tex]250 \leqslant 57m[/tex]
[tex]57m \: \geqslant 250[/tex]
Step-by-step explanation:
Minimum is a word meaning greater than or equal to.
Hope this helps!
If you have anyother question feel free to ask!