Answer:
$6.08
Step-by-step explanation:
16 ounces = 1 pound
4 pounds 12 ounces = 4 12/16 pounds OR 4 ¾ pounds
4¾ ≈ 4.75
4.75 pounds x $1.28 = $6.08
Whenever he participates a race, he is the winner. either he participates the race or he is sick. he is not the winner. therefor he is sick write the argument form and test its validity.
A statement 'He is not the winner, then, he is sick.' is a valid argument.
To test the validity of a given argument, we need to see if we can find a counter-example that makes one of the statements non-valid. If after analyzing the statements we can't find a counter-argument, then we can conclude that the argument is valid.
Here we will find that the argument is valid.
We can write given statement as:
1) If he participates in a race then he is the winner.
2) Either he participates in the race, or he is sick.
3) He is not the winner, then, he is sick.
Now, from the first statement, we know that this person participates in a race, he wins.
From the second statement we know that he only participates if he is not sick, we can rewrite that one as:
"If he is sick, then he does not participate in the race".
Finally, from the third one, if he does not win, then he is sick.
This makes sense, he only does not participate when he is sick, then the only races where he is not the winner, are these races where he does not participate, and he does not participate only if he is sick, then this is a valid argument.
Concluding, the 3 statements are valid, as we can't find any counter-argument to any of these 3.
Therefore, a statement 'He is not the winner, then, he is sick.' is a valid argument.
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3x+5x-4y+9 pls help bro
Solution: 8x-4y+9
Step-by-step explanation:
Combine like terms
3x + 5x - 4y + 9
8x - 4y + 9
To find the x-intercept, substitute 0 for y and solve for x. To find the y-intercept, substitute 0 for x and solve for y.
x-intercept(s): (−9/8,0)
y-intercept(s): (0,9/4)
Find a counterexample to show that the given conjecture is false.
If n is a real number, then n³>n.
Let [tex]n=0[/tex]. Then [tex]0^3 = 0[/tex] but 0 > 0 is a false statement.
find an expression which represents the difference when (-5x 7) is subtracted from (9x 5)in simplest terms.
-14x + 2 is the expression which represents the difference when (-5x + 7) is subtracted from (9x + 5) in simplest terms, as obtained by basic algebra.
What is basic algebra?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.
Now,
Given: Two expressions: (-5x + 7) and (9x + 5).
To find: Expression obtained when (-5x + 7) is subtracted from (9x + 5).
Finding:
By basic algebra, we can write:
=> ( -5x + 7) - (9x + 5) = ( -5x + 7) - 9x - 5
=> -5x - 9x + 7 - 5 = -14x + 2
Hence, -14x + 2 is the expression which represents the difference when (-5x + 7) is subtracted from (9x + 5) in simplest terms, as obtained by basic algebra.
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Please explain all the steps you used to get the answer.
The complete compound inequality is 9 <= 1.5x <= 12
How to complete the compound inequality?From the given figure, we have'
Height = x
Base = 3
The area of a triangle is
Area = 0.5 * Base * Height
So, we have
A = 0.5 * 3 * x
Evaluate
A = 1.5x
The compound inequality is given as
9 <= A <= 12
Substitute A = 1.5x in 9 <= A <= 12
9 <= 1.5x <= 12
Hence, the complete compound inequality is 9 <= 1.5x <= 12
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16 houses on 2 blocks = houses per block
Answer:
0.125
Step-by-step explanation:
Find the inequality represented by the graph.
Answer: y<3x-4
Step-by-step explanation:
[tex](0,-4) \ \ \ \ \ \ (1,-1)[/tex]
The equation of the line
[tex]\displaystyle\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }[/tex]
[tex]\displaystyle\\x_1=0\ \ \ \ x_2=1\ \ \ \ y_1=-4\ \ \ \ y_2=-1\\Hence,\\\frac{x-0}{1-0} =\frac{y-(-4)}{-1-(-4)} \\\\\frac{x}{1} =\frac{y+4}{-1+4} \\x=\frac{y+4}{3}[/tex]
Умножьте обе части уравнения на 3:
[tex]3x=y+4\\3x-4=y+4-4\\3x-4=y[/tex]
Thus, y<3x-4
Freddy is 4 years older than 8 times his grandson's age. The sum of their ages is greater than 67.
What is the youngest age Freddy's grandson can be?
Answer:
eight is the answer
Step-by-step explanation:
........
Isabel's car gets 33.5 miles per gallon. Her gas tank
holds 15.25 gallons of gas. How many miles can Isabel
drive on a full tank of gas?
A 48.75 miles
B 487.5 miles
C 510.875 miles
D 5,108.75 miles
John chose D as the correct answer. How did he get
that answer?
Isabel can drive 510.875 miles with a gas tank that holds 15.1 gallons of gas.
Given that, Isabel’s car gets 33.5 miles per gallon
Her gas tank holds 15.1 gallons of gas
To find the Number of miles can Isabel drive on a full tank of gas
Let "x" be the miles drive with 15.1 gallons of gas
From given,
1 gallon = 33.5 miles
15.25 gallon = x miles
This forms a proportion and we can solve the sum by cross multiplying
1 × x = 15.25 × 33.5
x = 510.875
Thus, Isabel can drive 510.875 miles on a full tank of gas
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3. Estimate √131 by finding what integers it falls
between. What integer is it closer to? Put all
three numbers on the number line to show
approximately where it would fall.
Answer:
this number falls between 11 and 12
Step-by-step explanation:
11 Squared is 121 and 12 squared is 144. 131 is between these numbers. It is closer to 11
You can earn 8 percent interest, compounded annually. how much must you deposit today to withdraw $10,000 in 6 years?
We must deposit (B) $6,301.70 today to withdraw $10,000 in 6 years.
What do we mean by compound interest?Compounding interest is an important concept in the financial sector that has a direct impact on the value of financial assets. According to this theory, received interest will be invested back in the initial investment. This will result in additional interest earnings on the initial interest.To find the amount:
Given -
Future account balance = $10,000N = 6I = 8%Estimate the initial deposit required to obtain $10,000 in 6 years:
Initial deposit = Balance/(1 + 1)ⁿInitial deposit = 10,000/(1 + 8%)⁶Initial deposit = 6,301.70Therefore, we must deposit (B) $6,301.70 today to withdraw $10,000 in 6 years.
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The correct question is given below;
You can earn 8 percent interest, compounded annually. How much must you deposit today to withdraw $10,000 in 6 years?
A. $5,402.69
B. $6,301.70
C. $6,756.76
D. $8,432.10
E. $9,259.26
3 -1 ___ 1/4 = < >
which symbol is right?
Answer:
Greater than.
Step-by-step explanation:
3 - 1 = 2, 2 is greater than 1/4 which is equal to 0.25.
9.66 x 0.46 estimated
Answer:
10
Step-by-step explanation:
so just round to the ones below or above 5
PLS HELP
Ninety students auditioned for the school play. One-third of those who auditioned were cast, 6 in major roles. What fraction of those who were cast got major roles? Write your answer as a decimal.(1 point)
The fraction of those who were cast and got major roles is 1/5.
Number of the students who were cast
The number of the students who were cast out of the Ninety students auditioned for the school play is calculated as follows;
Total number of students = 90
Number of students who were cast = ¹/₃ x 90 = 30
Number of students who go major role = 6
The fraction of those who were cast and got major roles is calculated as follows;
fraction of students who got major role = 6/30
fraction of students who got major role = 1/5
Thus, the fraction of those who were cast and got major roles is 1/5.
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Answer:
Total number of students = 90
Number of students who were cast = ¹/₃ x 90 = 30
Number of students who go major role = 6
fraction of students who got major role = 6/30
fraction of students who got major role = 1/5
1/5 = 0.2
TWO MORE QUESTIONS AND WILL GIVE BRAINLIEST TO PROPER ANSWER, NO SPAM
Answer: The answer is likely E/i
Step-by-step explanation:
1. Based by guesses here, multiply R on both sides, making it RI = E
2. Then, divide I on both sides, so RI/I = E/I
3. Becoming R = E/I
I WILL GIVE 25 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer: The answer is b
Step-by-step explanation: Simplify and expand it to determine it
Jordan can ride her skateboard 75 meters in 30 seconds. How long will it take Jordan to ride her skateboard 1500 meters.
Step-by-step explanation:
1500÷75= 20
30×20= 600 seconds
600÷60= 10 minutes
Which statement about this figure is true?
It has reflectional symmetry with one line of symmetry.
It has point symmetry.
It has no reflectional symmetry.
It has rotational symmetry with an angle of rotation of 180°.
Select the correct answer.
Which statement corrects the error, or errors, in this definition?
In a dilation, each point in the preimage and its corresponding point in the image are at equal distances from a given line. Also, the line segment
joining two such points is perpendicular to the given line.
OA. A dilation is when an object moves in a circular arc around a point.
OB. A dilation proportionally stretches or compresses an object based on a given scale factor..
OC. A dilation moves points a specified distance along a line parallel to a specified line.
O D.
The definition is correct.
Answer:
A dilation proportionally stretches or compresses an object based on a given scale factor.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
StarWatch Camping Site Charge per person: £5 per night Tent pitch: (ground surface) < 10 m² at £12 per night > 10 m² at £15 per night Special offer: For every 5 nights you stay, only pay for 4. Lila and Wassim are planning a stay at the StarWatch camping site. They will: ● share a tent between them, both stay for a total of 10 nights, • use a tent with a rectangular base measuring 2.5 by 4.2 metres. The holiday is just 9 weeks away and they each plan to save £12 per week from now until their holiday. Will they save enough money to cover all their camping site charges? If the answer is 'yes' say how much extra money they will save. You must show all your working.
Yes, Lila and Wassim saved the extra money of £16.
What is defined as the total cost?A total is a complete or whole amount, or "to total" means to add numbers or destroy something. In mathematics, you total numbers by having to add them together; the result is indeed the total. Whenever you add 8 and 8, you get 16.For the given data in question;
Charge/person for Camping Site : £5 per night
Charges for Camping Site Tent = £15 per night for Tent pitch > 10m²
calculate the tent pitch;
Tent Pitch = 2.5 × 4.2 = 10.5 > 10
Total charges for tent = £15 per night
As, 2 Lila and Wassim sharing Tent
Total charges per night = Charge/person + Charges for Camping Tent
= 2× £5 + £15
= £25 per night
For every 5 nights of the stay, pay is 4.
Cost for 10 nights for two persons.
Lila and Wassim have to pay the cost for 8 Nights;
Total charges = £25 × 8 = £200
Lila and Wassim each plan to save £12 per week for 9 weeks.
Thus, the total Saving = 2 × 9 × 12 = £216
total Saving = 216 > 200
As, total savings of Lila and Wassim are £216 which are greater than the £200 cost of camping.
The extra money saved is;
= £260 - £200
= £16.
Therefore, Yes, Lila and Wassim will save sifficient money to cover all camping charges with extra saved money of £16.
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The coordinates of the midpoint of GH¯¯are M(8, 0) and the coordinates of one endpoint are H(−2, 9)
Using the midpoint concept, the other endpoint of the segment is: G(18,-9).
What is the missing information?The problem asks for the coordinates of the other endpoint, given by point G.
What is the midpoint concept?The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.
Hence the x-coordinate of G is found as follows:
8 = (x - 2)/2
x - 2 = 16
x = 18.
The y-coordinate of G is found as follows:
0 = (y + 9)/2
y + 9 = 0
y = -9.
The other endpoint of the segment is: G(18,-9).
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The temperature was -6 f it rose to 0f what represents the change in temperature
sort Questions find the unknown size of angels in the following figures
We get the value of angle Q in the triangle PQR as 155 °.
We are given a triangle PQR.
We are also given that:
∠ P = 110 °
∠ R = 15 °
Now, we need to find ∠ Q.
We know that sum of the angles of a triangle = 180 °
This is called the angle sum property of a triangle.
So, we get that:
∠ P + ∠ Q + ∠ R = 180 °
Substituting the given values, we get that:
110 ° + ∠ Q + 15 ° = 180 °
125 ° + ∠ Q = 180 °
∠ Q = 180 ° - 125 °
∠ Q = 155 °
Therefore, we get the value of angle Q in the triangle PQR as 155 °.
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A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (4, 5) and (3, 2), what is the equation for a parallel street that passes through (2, −3)?
y = 3x + 11
y = 3x − 9
y equals negative 1 third times x plus 1
y equals negative 1 third times x minus 7 thirds
The equation for the parallel street that passes through (2, -3) is: B. y = 3x - 9.
How to Find the Equation of Parallel Lines?Two lines that lie parallel to each other will have a slope (m) that is of the same value. The equation can be written as y = mx + b in slope-intercept form.
Find the slope of the line that passes through (4, 5) and (3, 2):
Slope (m) = change in y / change in x = (5 - 2)/(4 - 3)
Slope (m) = 3/1
Slope (m) = 3
The slope of a parallel line would also be 3.
Substitute (a, b) = (2, -3) and m = 3 into y - b = m(x - a):
y - (-3) = 3(x - 2)
y + 3 = 3x - 6
Subtract 3 to both sides of the equation
y + 3 - 3 = 3x - 6 - 3
y = 3x - 6 - 3
y = 3x - 9
Therefore, the equation for the parallel street that passes through (2, -3) is: B. y = 3x - 9.
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State the property that justifies the statement.
If 3(x- 2/3)=4 , then 3x-2=4.
The distributive property is the property that justifies the statement.
Properties of MultiplicationThe properties of multiplication are:
Distributive: a(b±c)= ab±ac Commutative: a . b = b. a Associative: a(b+c)= c(a+b) Identity: b.1=bFor the question, the number 3 was multiplied each term, then
3x - 3*2/3 = 4
3x - 6/3 = 4
3x - 2 = 4
Comparing the steps and results found, it is possible to note that the distributive property for multiplication was applied.
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Please help i will give out brainlist
Answer:
x = 16
Step-by-step explanation:
[tex]\frac{3x}{4}[/tex] + 3 = 15 (subtract 3 from both sides )
[tex]\frac{3x}{4}[/tex] = 12 ( multiply both sides by 4 to clear the fraction )
3x = 48 ( divide both sides by 3 )
x = 16
that is
subtraction / multiplication / division
Answer: ( not totally sure but I hope this helps)
Step-by-step explanation:
1. Given
2. Multiplication property of equality
3. Subtraction
4. Division property of equality
what is the approximate value of this square root? 162‾‾‾‾√ enter your answer, rounded to the nearest tenth, in the box.
The square root of 162 to the nearest tenth is 12.7, estimated using the prime factorization method.
What is the square root of a number?
The square root of a number x is given by y, such that (y)2 = x. It is denoted by the symbol, ' √ '. For example, the square root of 4 is 2 and the square root of 169 is 13, etc.
Calculation of the square root of 162
We are given the number 162
Let us apply the prime factorization method to find the square root of 162
The prime factors of 162 are 2 × 81
The prime factors of 162 in pairs are 2 × (3 × 3) × (3 × 3)
Now, the square root of 162 is given by:
√162 = √ (2 × (3 × 3)2)
= 3 × 3 × √2
= 9 × √2
= 9 × 1.414
= 12.726
Hence, the square root of 162 up to the tenth place is 12.7.
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5) At West High School, 362 students take
Spanish. This number has been increasing
at a rate of 20 per year. The number of
students taking French is 259 and has been
decreasing at a rate of 3 per year. At these
rates, when will there be two times as
many students taking Spanish as taking
French?
Please help
Answer:
Step-by-step explanation:
In 6 years, because I subtracted 3 from 259 6 times and added 20 to 362 6 times.
1 Latisha and Maisha are twins. They have a brother who is eleven years younger than
them and an older sister who is four years older. The sum of the ages of all four siblings
is 73. Find Latisha's age.
find the direction cosines and direction angles of the vector. (give the direction angles correct to the nearest tenth of a degree.)
The direction cosines and direction angles will be - [tex]\frac{x}{r},\frac{y}{r},\frac{z}{r}[/tex] and
cos⁻¹([tex]\frac{x}{r}[/tex]), cos⁻¹([tex]\frac{y}{r}[/tex]),cos⁻¹([tex]\frac{z}{r}[/tex]) respectively.
The direction cosines of a specified vector, m = xi + yj + zk, are the cosines of the angles it makes well with x, y, and z axes.
The direction cosines of m are cos a, cos b, and cos c in the x, y, and z axes, respectively, if a forms the angles a,b and c (which are the direction angles) with the x, y, and z axes, respectively.
Let us consider equation as = [tex]xi + yj +zk[/tex]
vector of the equation will be - (x,y,z)
r = length of vector = [tex]\sqrt{x^{2} +y^{2} +z^{2} }[/tex]
The direction cosines will be -
[tex]\frac{x}{r},\frac{y}{r},\frac{z}{r}[/tex]
angles will be - cos⁻¹([tex]\frac{x}{r}[/tex]), cos⁻¹([tex]\frac{y}{r}[/tex]),cos⁻¹([tex]\frac{z}{r}[/tex])
Let us consider an example,
If we have vector as (1,2,3)
= i + 2j + 3k
= r = [tex]\sqrt{1^{2} +2^{2} +3^{2} }[/tex]
= [tex]\sqrt{14}[/tex]
Direction cosines will be -
[tex]\frac{1}{\sqrt{14} } , \frac{2}{\sqrt{14} }, \frac{3}{\sqrt{14} }[/tex]
Angles will be -
cos⁻¹([tex]\frac{1}{\sqrt{14} }[/tex]), cos⁻¹([tex]\frac{2}{\sqrt{14} }[/tex]),cos⁻¹([tex]\frac{3}{\sqrt{14} }[/tex])
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