Answers
The solution to each of the given algebraic expressions are;
1) 2n - 2 = 10
2) 12n - 1 = 17
3) 4 * 9 = 36
4) 23 - 8 = 15
5) (3 * 7) + 1 = 22
6) ¹/₆ * 42 = 7
7) 3n - 6 = 70
8) y - 2 = 9
9) x = 5 * 12
10) -48 = -4 * 12
11) -32/-8 = 4.
12) (15 - 3)n = 2
13) (5 + 8)n = 42
14) (12 + 6)/2 = 9
15) -4 = -2(5 - 3)
16) x + (x + 1) = 25
17) (x) + (x + 1) = -3
18) 11 - x = -1
How to solve algebra word problems?1) Two less than twice a number is equal to 10 is expressed as;
2n - 2 = 10
2) 17 is one more than twice a number;
2n - 1 = 17
3) Four times 9 is 36;
4 * 9 = 36
4) Eight less than 23 is fifteen;
23 - 8 = 15
5) One more than 3 times 7 is 22;
(3 * 7) + 1 = 22
6) One sixth of forty two is seven;
¹/₆ * 42 = 7
7) Six less than 3 times a number is equal to seventy;
3n - 6 = 70
8) Two dollars off the regular price of a calculator is $9;
y - 2 = 9
9) A number is equal to five times 12;
x = 5 * 12
10) Negative 4 is a product of the opposite of four and 12;
-48 = -4 * 12
11) Four is the quotient of -32 and -8;
-32/-8 = 4.
12) When 15 minus 3 is multiplied by a number, the product is 2;
(15 - 3)n = 2
13) A number times the sum of five and 8 is 42;
(5 + 8)n = 42
14) 9 is the quotient when 12 + 6 is divided by 2;
(12 + 6)/2 = 9
15) -4 = -2(5 - 3)
16) x + (x + 1) = 25
17) (x) + (x + 1) = -3
18) 11 - x = -1
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Related Questions
How do you solve 2^(x) − 2^(−x) = 5 ?
Answers
The solution for the expression 2^(x) − 2^(−x) = 5 is x = log2(10)
Substitute 2^(−x) for 5 and solve for x, which is log2(10).
The given expression ,
2^(x) − 2^(−x) = 5
2^(x) = 5 + 2^(−x)
2^(2x) = (5 + 2^(−x))^2
2^(2x) = 25 + 10*2^(−x) + 2^(−2x)
25 + 10*2^(−x) + 2^(−2x) = 2^(2x)
25 − 2^(2x) = 10*2^(−x) − 2^(−2x)
25 − 2^(2x) = 10*2^(−x) − 2^(−2x) + 2^(2x)
25 = 10*2^(−x) + 2^(2x) − 2^(−2x)
25 = 10*2^(−x) + 2^(−2x) (2^(2x) - 2^(−2x))
25/(2^(−2x) (2^(2x) − 2^(−2x))) = 10*2^(−x)
25/(2^(2x) − 2^(−2x)) = 10*2^(−x)
2^(x) = 10
x = log2(10)
Substitute 2^(−x) for 5 and solve for x, which is log2(10).
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Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = x2y3zi + sin xyzj + xyzk, S is the part of the cone y2 = x2 + z2 that lies between the planes y = 0 and y = 3, oriented in the direction of the positive y-axis.
Why do we use the line integral form of stokes theorem to integrate this, instead of the stokes variation that uses the curl?
Answers
We can conclude that 2187π/4 is the required S curl F.ds using Stokes' Theorem.
What is the Stokes' Theorem?According to Stoke's theorem, where C = A closed curve, "the surface integral of the curl of a function across a surface limited by a closed surface is equal to the line integral of the particular vector function over that surface."
S = Any surface bordered by C.
So, by utilizing Stokes Theorem to calculate S curl F .dS.
[tex]\iint_s c u r l F \cdot d s=\int_c F d r[/tex]
Parameterize C now.
r(t) = (3 cos t, 3 - 3 sin t)
When t is in [0 2].
Now,
[tex]\begin{aligned}& \int_c F \cdot d r=\int_0^{2 \pi} F(3 \cos t, 3-3 \sin t) \cdot r^{\prime}(t) d t \\& =\int_0^{2 \pi}\left(\left(9 \cos ^2 t\right)(27)(-3 \sin t),(\sin t) \times(-27 \cos t \cdot \sin t) \cdot(-3 \sin t, 0-3 \cos t) d t\right. \\& =27 \int_0^{2 \pi} 81 \cos ^2 t \cdot t \sin ^2 t+3 \cos ^2 t . t \sin t d t \\& =27 \int_0^{2 \pi} \frac{81}{4} \sin ^2 2 t+27\left[-\cos ^3 t\right]_0^{2 \pi}\end{aligned}[/tex]
[tex]\begin{aligned}& =27 \times \frac{81}{4} \int_0^{2 \pi}\left(\frac{1-\cos 4 t}{2}\right) \\& =\frac{2187}{8}\left[t-\frac{1}{4} \sin 4 t\right]_0^{2 \pi} \\& =\frac{2187}{8}\left[2 \pi-\frac{1}{4} \sin 4(2 \pi)-0-\frac{1}{4} \sin 4(0)\right] \\& =\frac{2187 \pi}{4}\end{aligned}[/tex]
Therefore, we can conclude that 2187π/4 is the required S curl F.ds using Stokes' Theorem.
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which of the following factors is a factor of 3x^3+18x^2+27x
Answers
The factor of the given expression is (C) (x + 3).
What are the factors?In mathematics, a divisor of an integer n, often termed a factor of n, is an integer m that may be multiplied by some number to generate n.
In this scenario, one also asserts that n is a multiple of m.
A factor is a number that is multiplied by another number to produce the desired result.
A product is a solution to a multiplication problem.
Think of a multiplication problem as components being combined to find a product.
So, we have:
3x^3+18x^2+27x
Now, take the factors out as follows:
3x^3+18x^2+27x
3x(x²+6x+9)
3x(x+3)²
Factors: (x + 3)
Therefore, the factor of the given expression is (C) (x + 3).
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Complete question;
Which of the following is a factor of 3x3 + 18x2 + 27x?
a. 9x
b. x3
c. x + 3
d. x - 3
write the sentence as an equation 22 equals a reduced by 295
Answers
Answer: 22 = a - 295
Step-by-step explanation:
"equals" means equals or the solution and can be shown with the equal sign.
"reduced by" also means subtracted by and can be shown as the minus sign.
I hope this helps :)
Find the slope of the line that passes through M(3, 5) and N(2. 6).
Answers
slope is 6-5/2-3 = - 1.....
Answer: -1
Step-by-step explanation:
Aria measured a line to be 5.1 inches long. If the actual length of the line is 4.8 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
Answer: 6.3%
Step-by-step explanation:
If a building contractor hires 8 day laborers and 2 concrete finishers, his payroll for the day is $1464. If he hires 1 day laborer and 5 concrete finishers, his daily cost is $943. Find the daily wage for each type of worker. Solve the problem using matrices.
Answers
The day worker's daily compensation is $160, while the concrete finisher's daily wage is $143.
What is matrices?A matrix is a numerical arrangement that is divided into rows and columns. Introduce yourself to matrices and learn about their dimensions and elements. A matrix is a rectangular array of integers divided into rows and columns. Matrix A, for example, contains two rows and three columns. A matrix is a collection of integers that are organized in rows and columns to form a rectangular array. The numbers are referred to as matrix elements or entries. Matrices are widely used in engineering, physics, economics, and statistics, as well as in many disciplines of mathematics.
Here,
Let x be the Charge for day labor and y be the charge for concrete finisher,
8x+2y=1464
x+5y=943
multiply x+5y=943 by 8,
8x+40y=7544
8x+2y=1464
subtracting them,
38y=6080
y=$160
x+5*160=943
x=943-800
x=$143
The daily wage for day worker is $160 and the daily wage for concrete finisher is $143.
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The elevation of City A is 60 feet above sea level. The elevation of City C is 12 feet above sea level. The elevation of City D is 1 over 2 of the elevation of City C.
Part A: Write an expression to represent the elevation, in feet, of City D. (5 points)
Part B: Solve the expression, and explain why the answer is negative or positive. (5 points)
Answers
A) D = 1/2[C] = 1/2[-16]
B) Elevation of city D is -8 feet.
Answer is negative due to -8 feet below sea level.
What is elevation?
The elevation is the height above sea level. Typically, elevations are expressed in feet or meters. Maps can depict them using contour lines, which link points of the same elevation, color bands, or numbers that indicate the precise elevations of specific points on the surface of the Earth.
The elevation of city A is 60 feet below sea level
⇒ A = -60
The elevation of city C is 16 feet below sea level
⇒ C = -16
The elevation of city D is 1 over 2 of the elevation of city C.
⇒ D = 1/2[C]
Part A: Write an expression to represent the elevation, in feet, of city D.
⇒ D = 1/2[C] = 1/2[-16]
Part B: Solve the expression and explain why the answer is negative or positive.
⇒ D = 1/2[-16]
D = -8
As a result Elevation of city D is -8 feet.
Here founded answer is negative due to -8 feet below sea level.
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Aaliyah throws a ball up in the air. The graph below shows the height of the ball hh in meters after tt seconds. How many seconds have gone by when the ball is at its highest point?
Answers
The number of seconds the ball has gone by when the ball is at its highest point is 1 second
How to determine the number of seconds?From the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following axis label
x-axis label: Timey-axis label: HeightThe highest point on the graph is the vertex of the graph
In this case, the point is
(t, h) = (1, 4.9)
Remove the h-coordinate
t = 1
This means that the time is 1 second
Hence, the ball has gone by 1 second when the ball is at its highest point
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A wooden box in the shape of a rectangle prism has a diagonal with a length of 25 centimeters, as shown.
What is the length of DH ?
___ centimeters
Answers
Using Pythagoras theorem the side length of DH is 9cm
Pythagoras's TheoremPythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
To find the value of DH, we can use Pythagoras's theorem to find the length of HC
EC² = EH² + HC²
25² = 20² + HC²
HC² = 25² - 20²
HC² = 225
HC = √225
HC = 15
Using Pythagoras's theorem again, we can find DH
HC² = DC² + DH²
15² = 12² + DH²
DH = 9
The length of DH is 9cm
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In April, Anthony's shop made a daily profit of $400 in 12 days and a daily loss of $300 in the rest of the month. It is given that his shop opened every day in April. Find the average daily profit or loss of Anthony's shop in April.
please use directed numbers to solve
Answers
The average daily loss of Anthony's shop in April is $20.
How is the average daily loss determined?The average daily loss is the total net profit (loss) divided by the number of days in April.
An average is the mean of the value in a data set, which is determined as the quotient between the total value and the number of items.
Days in April = 30
Daily profit in 12 days = $400
Daily loss in 18 days (30 - 12) = $300
Total daily profit = $4,800 ($400 x 12)
Total daily loss = $5,400 ($300 x 18)
Net daily loss = $600 ($5,400 - $4,800)
Average daily loss = $20 ($600/30)
Thus, in April, Anthony's shop incurred an average daily loss of $20.
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When solving x² - 10x-13-0 by completing the square, which equation is a step in the
process?
1) (x - 5)² = 38
2) (x - 5)² = 12
3) (x-10)² = 38
4) (x-10)² = 12
Answers
Answer:
1)
Step-by-step explanation:
[tex] {(x - 5)}^{2} = 38[/tex]
The required step solving the equation using Completing the square method is (x - 5)² = 38.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the Equation: x² - 10x-13 = 0
Now, half the coefficient of x and add and subtract the square of the half of the coefficient of x.
So, x² - 10x-13 = 0
x² - 10x-13 -5² + 5² = 0
(x - 5)² - 25 - 13 = 0
(x-5)² -38= 0
(x - 5)² = 38
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9. What are the point and slope given by the equation y + 2 = -7(x-1)? HELP ME PLEASE MY FINAL IS TMR
Answers
Hello,
I hope you and your family are doing well!
To find the point and slope given by the equation y + 2 = -7(x-1), we can start by rearranging the equation to solve for y:
y + 2 = -7(x-1)
y = -7(x-1) - 2
y = -7x + 7 + (-2)
y = -7x - 9
This is the slope-intercept form of the equation, where y = -7x - 9 is the slope and (-9, 0) is the y-intercept.
The slope of the line is -7, and the point on the line is (-9, 0).
Therefore, the point and slope given by the equation y + 2 = -7(x-1) are (-9, 0) and -7, respectively.
----
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Sixth grade
Y.7 Evaluate variable expressions: word problems 7XA
A dinner party with t tables and s seats at each table needs 5ts pieces of silverware. Aaron
works as a party planner. He is planning a dinner party with 10 tables and 8 seats at each
table.
How many pieces of silverware does the dinner party need?
Write your answer as a whole number or decimal.
pieces of silverware
Submit
Work it out
Not feeling ready yet? These can help:
You have prizes to reve
Evaluate variable expressions with whole numbers (100)
Evaluate variable expressions with decimals
Answers
The dinner party needs 400 pieces of silverware for 10 tables and 8 seats at each table. By evaluating the given expression, we get the required value.
What is the given expression and how it is related to the required value?The given expression is,
A dinner party with tables t' and seats at each table 's' needs "5ts" pieces of silverware.
I.e., number of pieces of silverware = 5ts
Thus, the given expression gives the required value.
Calculation:If Aaron is planning for a dinner party with t = 10 tables and s = 8 seats at each table, then the number of pieces of silverware required for the dinner party is
5ts = 5 × 10 × 8 = 40 × 10 = 400
Therefore, it needs 400 piece of silverware.
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a store is selling laptops with six different operating systems. a company would like to buy 35 of those laptops for their employees. in how many ways can this company buy them?
Answers
Number of ways can this company buy them is 1623160.
Given :
a store is selling laptops with six different operating systems. a company would like to buy 35 of those laptops for their employees.
Number of ways = [tex]35_C_6[/tex] or C ( 35 , 6 )
we know that ,
C ( n , r ) = n! / ( n - r ) ! r!
substitute
= 35 ! / ( 35 - 6 ) ! 6!
= 35 * 34 * 33 * 32 * 31 * 30 * 29! / 29! * 6!
= 35 * 34 * 33 * 32 * 31 * 5 / 5 * 4 * 3 * 2 * 1
= 35 * 17 * 33 * 32 * 31 / 4 * 3
= 35 * 17 * 11 * 8 * 31
= 1623160 ways
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Determine whether the correspondence is a function. Is this correspondence a function? Yes No
Answers
No, this correspondence is not a function because a function is a relation between two sets of values in which each value of the first set corresponds to exactly one value in the second set.
In this case, there is no information given about the correspondence, so it is impossible to determine if it is a function or not.
A function is a special type of relation in which each value of the first set, sometimes referred to as the domain, is associated with exactly one value in the second set, called the range. A function must satisfy the property of functional uniqueness, meaning that each element of the domain is associated with exactly one element in the range. If a correspondence fails to meet this requirement, then it is not a function. Without knowing any more information about the correspondence, it is impossible to determine if it is a function or not.
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if x=3 and y=-5 find the value of x-y^2
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{x - y^2}\\\mathsf{= 3 - (-5)^2}\\\mathsf{= 3 + \bf 5^2}\\\mathsf{= 3 + \bf 5\times5}\\\mathsf{= 3 + \bf 25}\\\mathsf{= 28}\\\\\huge\text{Therefore, your answer should be: \boxed{\textsf{28}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
solve the matrix equation: x1 x2 −2 5 = 8 15 x1 = x2 =
Answers
We obtain x1=10 and x2=10 by solving the one-step matrix equation.
Explain about the Matrix?A matrix is a set of numbers arranged in rows and columns. Learn about the dimensions and components of matrices by starting your first introduction. A rectangular grid of numbers organized into rows and columns is known as a matrix. Matrix A, as an illustration, has two rows and three columns.
An arrangement of numbers, occasionally expressions and symbols, in rows and columns is called a matrix. Quantum mechanics, optics, mathematics, and other mathematical functions are all solved using matrix formulas.
Matrices are very expensive items that are used in a variety of applications. Matrix applications are employed in a variety of scientific disciplines in addition to mathematics.
x1 + (-2) = 8
x2 +( 5) = 15
solve 1
x1 - 2 = 8
On both sides of the equation, add 2.
⇒ x1 -2 + 2 = 8 +2
⇒ x1 =8 +2
⇒ x1 = 10
Equation 2 resolution
x2 + 5 = 15
On both sides of the equation, deduct 5
⇒x2 + 5 -5 = 15 - 5
⇒ x2 = 15 - 5
⇒ x2 = 10
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What is the volume of the sphere 3,3
Answers
Answer: r≈0.89
Step-by-step explanation:
What is the indefinite integral of 1/xlnx?
Answers
In integration the bindefinite integral of 1/xlnx is
ln(|u|)+C=ln(|lnx|)+C with the aid of using parts, we've discovered whilst the specified formula.
The vital of the 2 capabilities are taken, with the aid of using thinking about the left time period as first feature and 2nd time period as the second one feature.
This technique is referred to as Ilate rule.The vital of xlnx is same to (x2/2) lnx - x2/4 + C, wherein C is the mixing constant. We can compare this vital the usage of the technique of integration with the aid of using parts.
We have the vital:
[tex]∫1xlnxdx
Use substitution. Let u=lnx so that du=1xdx . Note that each of those are presently gift withinside the vital.
∫1xlnxdx=∫(1lnx)1xdx=∫1udu
This is a not unusualplace vital:
∫1udu=ln(|u|)+C
Since u=lnx :
ln(|u|)+C=ln(|lnx|)+C[/tex]
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Which of the following is equal to 505 ÷ 5 ?
A. (500+5) + (500 ÷ 5) B. (500-5) - (5 ÷ 5). C. (500+ 5) + (5 + 5) D. (500+5) + (5 ÷ 5)
Answers
Answer:
a.
Step-by-step explanation:
solve for x multiple choice
Answers
Answer:
12
Step-by-step explanation:
Using the side splitter theorem, [tex]\frac{x}{32}=\frac{9}{24} \implies x=12[/tex].
9. Salvador is playing a game where the
product must be greater than 5. Which two
cards result in a product greater than 5?
31/1/2
3
A. 1 and 4
B. 3 and 1
2
C. 3 and 12
8
D. 2 and 12/2
3
1/4/2
8
3
Answers
Answer:
The answer should be A.
Step-by-step explanation:
Which expression is equivalent to 3 ( 4 x + 10 ÷ 2 + 3 ) ?
Answers
What is the difference between 5 hundreds 6 tens and 4 tens
Answers
The difference between 5 hundreds 6 tens and 4 ones is the value of zeros after 1.
Explain hundred, tens and ones.Each digit in a number has a unique place and value. A number might contain multiple digits. The first digit will be at the ones place, the second digit at the tens place, and the third digit at the hundreds place, starting from the right.
How many tens are in hundred?There are 10 tens in hundred.
5 hundreds= 5*100
6 tens =6*10
4 ones= 4*1
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The difference between 5 hundreds 6 tens and 4 ones is the value of zeros after 1.
Explain hundred, tens and ones.
Hundred, tens, and ones are a way of representing numbers in base 10. This means there are ten digits (0-9) used to represent all numbers. When counting in hundreds, tens, and ones, the number 100 is the largest number represented with one digit, followed by the numbers from 101 to 199. Tens are represented with two digits, such as 20, 30, 40, 50, and so on. Ones are single digits, such as 1, 2, 3, 4, and so on. This system of counting is used to represent all numbers, no matter how large or small.
How many tens are in hundred?
There are 10 tens in hundred.
5 hundreds= 5*100
6 tens =6*10
4 ones= 4*1
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What is 1 1/4 as a improper fraction?
Answers
The improper fraction of the mixed fraction 1 1 / 4 is 5 / 4.
How to represent mixed fraction to improper fraction?An improper fraction has a numerator greater than the denominator. In other words, Improper fractions are defined as fractions for which the numerator is greater than the denominator.
The fraction is in mixed fraction, 1 1 / 4 .
A mixed fraction is defined as a fraction formed by combining a whole number and a fraction.
Hence, let's convert the mixed fraction to improper fraction.
Therefore,
1 1 / 4 = 5 / 4
Therefore, the improper fraction is 5 / 4.
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plumeria island is an island in the indian ocean. the island is 4,000 square kilometers in size. currently, 500,000 people live there. last year, 150,000 children were born and 50,000 people immigrated. 100,000 people died and 10,000 emigrated. it is believed that the island could support up to 350 people per square kilometer. the current population density is .
Answers
The current population density is 125 people / square kilometers.
Given :
plumeria island is an island in the indian ocean. the island is 4,000 square kilometers in size. currently, 500,000 people live there. last year, 150,000 children were born and 50,000 people immigrated. 100,000 people died and 10,000 emigrated. it is believed that the island could support up to 350 people per square kilometer.
Total people = 500000
Area = 4000 square kilometers
we know that ,
Population density = total people / area
= 500000 / 4000
= 500 / 4
= 125
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HELPP ITS FIE TOMORROW NOOOO
Answers
Answer: answer below
Step-by-step explanation:
4 (a). 900 grams of flour
work 150x6=900 grams
4 (b). 3 large eggs
work 450÷150=3
5 (a). 2.99
work 11.96÷4=2.99
5 (b). 26.91
work 2.99x9=26.91
6 (a). Can't help
6 (b). 6:12
6 (c). 16:8
6 (d). 10 paws
Can't help on problem 7
what are m and b in the linear equation, using the common meanings of m and b? 2+3X+5-2X=y
Answers
Answer: m = 1, b = 7.
Step-by-step explanation:
First, you must convert 2 + 3x + 5 - 2x = y to slope-intercept form. (y = mx + b)
y = mx + b
y = x + 7
The slope (m) is 1
The y-intercept (b) is 7
reliability is part 2 a. the probability that a machine part or product will function properly for a specified time under stated conditions. b. improving individual components with maintenance.
Answers
Maintenance tactics include providing redundancy.
This is the correct answer (B).
Now, According to the question:
Let's know:
Probability:- It is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
B. Maintenance tactics include providing redundancy.
This is the correct answer (B).
The complete question is this:
Which of the following statements is NOT true?
A. Good maintenance and reliability management enhances a firm's performance and protects its investment.
B. Maintenance tactics include providing redundancy.
C. Reliability is the probability that a machine part or product will function properly for a specified time under stated conditions.
D. Maintenance includes all activities involved in keeping a system's equipment in working order.
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