The number 2 should be added to both sides of the given linear
equation to enable the variable x be made the subject of the equation.
Response:
The first operation that needed to solve the equation is; AdditionWhich sequence of steps are needed to solve the given equation?The given equation is presented as follows;
\(\mathbf{\dfrac{x}{11} - 2} = 3\)
The solution of the above equation van be found by making x the
subject of the equation.
Removing the 2 from the left hand side of the equation will isolate the \(\dfrac{x}{11}\)
, from which the value of x can be found by multiplying by 11.
First operation;
To remove the 2, we have;
2 - 2 = -2 + 2 = 0, adding 2 to both sides of the equation gives;\(\dfrac{x}{11} - 2 \mathbf{+ 2 }= 3 + 2\)
\(\dfrac{x}{11} + 0 = 3 + 2 = 5\)
\(\dfrac{x}{11} = 5\)
Second operation;
\(\dfrac{x}{11} \times 11 = 5 \times 11 = 55\)
x = 55
The first operation that needs to be needed to solve the given equation
is therefore;
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Answer: It would be addition
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pls help quick!!
10 points
Answer:
The angle B = 70°
Step-by-step explanation:
The sum of angles of a triangle is 180°
=> 40°+(2x-30)°+(x+20)° = 180°
=> 40°+2x°-30°+x°+20° = 180°
=> 30°+3x= 180°
=> 3x = 180°-30°
=> 3x = 150°
=> x = 150/3
=> x = 50°
So,the value of x = 50°
now , angle B = (2x-30) = (2×50 -30 ) = (100-30) = 70°
What is the value of x, if the perimeter of the rectangle is 18?
This is the problem ;
Select all equations that do NOT have a solution.
A 8x + 4x = 0
B 6x + 2 = 4x + 2 + 2x
C 4x – 8x – 3 = 6 – 4x
D 5x + 1 = 1 – 5x
E 12x – 3 – 5x = 9 + 7x – 6
Answer:
C and E are the answers:)
Step-by-step explanation:
Hope this helps!
Answer- C,D, and E
If you plug in any number for those proplems you will get a different number a each side
Question 3(Multiple Choice Worth 3 points)
(01.04 LC)
Which of the following expressions is equivalent to 2x +4? (The x+4 is to the power of x)
A) 8(2) ^x
B) 2^x/8
C) 16(2)^x
D) 2^x/16
The expression that is equivalent to the expression 2ˣ⁺⁴ is 16(2ˣ)
Which expression is equivalent to the expressionFrom the question, we have the following parameters that can be used in our computation:
2ˣ⁺⁴
The above expression is an exponential expression with the following properties
Base = 2Exponent = x + 4When the above expression is expanded, we have
2ˣ⁺⁴ = 2ˣ * 2⁴
Evaluate the expression 2 exponent 4
So, we have the following representation
2ˣ⁺⁴ = 2ˣ * 16
Rewrite as follows
2ˣ⁺⁴ = 16 * 2ˣ
This gives
2ˣ⁺⁴ = 16(2ˣ)
Hence, the expression that is equivalent to the expression is 16(2ˣ)
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Suppose that the mean and standard deviation of the scores in a Statistics exam are 75 and 9.5 respectively. What minimum score should a student obtain to be a part of the top 2.5%? Round answers to 2 decimal places.
The mean and standard deviation of the scores are 75 and 9.5 respectively.
The z-score is a means to find the probability of getting a particular score. This is calculated to be:
\(z=\frac{x-\mu}{\sigma}\)where x is the score, μ is the mean, and σ is the standard deviation.
To be a part of the top 2.5 percent, the probability is:
\(P=\frac{2.5}{100}=0.025\)The z-score for this probability, that is, P
if line ST is congruent to line SV, TU=w+10, and UV=2w what is the value of w
If line ST exists congruent to line SV, TU=w+10, and UV=2w then the value of w exists 10.
What does congruent line mean?If two line segments are congruent to one another and are the same length, then they are said to be equal. The angles they make with an axis or location in the plane may or may not be the same.
Congruence between two line segments indicates that their lengths are equal. Two shapes are said to be congruent if they correspond throughout if you take one up and place it on the other (they will match up perfectly and you will not be able to see the one on the bottom).
If line ST exists congruent to line SV, TU = w + 10, and UV = 2w.
TU = UV
substitute the values of TU and UV in the above equation, we get
w + 10 = 2w
simplifying the equation, we get
w = 2w - 10
-w = -10
Divide both sides by -1
\($\frac{-w}{-1}=\frac{-10}{-1}$$\)
w = 10
Therefore, the values of w exists 10.
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in how many ways can the letters in the word payment be arranged if the letters are taken 6 at a time
Considering the definition of permutation, in 5040 ways can the letters in the word ''PAYMENT'' be arranged if the letters are taken 6 at a time.
What is PermutationPermutation is placing elements in different positions. So, permutations of m elements in n positions are called the different ways in which the m elements can be arranged occupying only the n positions.
That is, permutations refer to the action of arranging all the members of a set in some sort of order or sequence.
In other words, permutations (or Permutations without repetition) are ways of grouping elements of a set in which:
take all the elements of a set.the elements of the set are not repeated.order matters.To obtain the total of ways in which m elements can be placed in n positions, the following expression is used:
\(mPn=\frac{m!}{(m-n)!}\)
where "!" indicates the factorial of a positive integer, which is defined as the product of all natural numbers before or equal to it.
This caseIn this case, you have:
the letter word "PAYMENT", where the number of letters is 7.the letters are taken 6 at a time.Then, you know that:
m= 7n=6Replacing in the definition of permutation:
\(7P6=\frac{7!}{(7-6)!}\)
Solving:
\(7P6=\frac{7!}{1!}\)
7P6= 5040
Finally, in 5040 ways can the letters in the word ''PAYMENT'' be arranged if the letters are taken 6 at a time.
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lant A is 18 inches tall after one week,36 inches tall after two weeks ,56 inches tall after three weeks. plant B is 18 inches tall after one week , 36 inches tall after two weeks, 54 inches tall after three weeks. Which situation represents a proportional relationship between the plants height and number of weeks? step by step with grapj
The plant grows 20 inches in 2 weeks and plant b grows 16 inches
Which shapes are similar but not congruent to shape 1
There are countless possibilities for shapes that are similar but not congruent to shape 1, as long as they maintain the same proportions and shape.
There are many shapes that are similar but not congruent to shape 1. Similar shapes have the same shape, but their sizes may be different. In contrast, congruent shapes have the same shape and size.
One example of a similar shape to shape 1 is a rectangle that is twice as long and half as wide. Another example could be a square that is three times larger in area than shape 1.
A parallelogram that has the same base as shape 1 but is three times as tall is also similar but not congruent.
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3(p - 29) - 4(2p - 39 - 5)
expand and simplify
Answer:
-5p+99
Step-by-step explanation:
Original Equation;
3(p - 29) - 4(2p - 39 -5)
★First Step: Multiply the number 3 by p and -29 which is in the first term so it's going to be;
3 multiplied by p and 3 multiplied by -29
3p - 87
★Second step: Add the -39 and -5 which is going to give you -44 because - + - is = -
-44
★Third step: Multiply -4 by 2p and -44 so it's going to be;
-4×2p=-8p and -4×-44=176 we have positive 176 because - × - = +
★Fourth Step: Remove brackets
So it's going to be;
3p - 87 -8p +176
★Then you combine like terms
3p - 8p - 87 +176
-5p + 99
3(p-29)-4(2p-39-5)
3p-87-4(2p-44)
3p-87-8p+176
3p-8p-87+176
-5p+99
The graph of linear function, f
f
passes through the point (1, −9) and has a slope of -3. What is the zero of f
f
?
Answer:
6
Step-by-step explanation:
You divide equally or round up ormultiplacation
What is the equation of the line in slope intercept form write your answer using integers, proper fractions, and improper tractions in simplest form
Answer:
y = 2x - 1
Step-by-step explanation:
To find out the equation of the line, you will always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:
1. 2 sets of ordered pairs (x, y)
2. Slope (m)
3. Y-intercept (b)
First, we need to choose 2 points from the graph to solve for the slope:
Let (x1, y1) = (0, -1)
(x2, y2) = (3, 5)
Substitute these values into the following slope formula:
\(m = \frac{y2 - y1}{x2 - x1} = \frac{5 - (-1)}{3 - 0} = \frac{5 + 1}{3} = \frac{6}{3} = 2\)
Therefore, the slope (m) = 2.
Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, -1) is the y-intercept. Hence, the y-intercept (b) = -1.
Given our slope, m = 2, and the y-intercept (b) = -1, the linear equation is:
y = 2x - 1
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The output value of (g/f)(x) is 9x/(7x + 28).
The domain of g/f is (-∞, -4) U (-4, ∞)..
How to determine the corresponding composite function?In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;
(g/f)(x) = (9/(x + 4)) ÷ 7/x
By rearranging the mathematical expression using the multiplication operation, we have the following:
(g/f)(x) = (9/(x + 4)) × x/7
(g/f)(x) = 9x/(7x + 28)
For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;
7x + 28 ≠ 0
7x ≠ -28
x ≠ -4
Domain = (-∞, -4) U (-4, ∞).
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Water is slowly leaking from a bird bath at the rate of 8 cm3/min. The birdbath is in the shape of a cone with the vertex down and the radius is double the height. How fast is the water level changing when the water is 10 cm deep
Answer:
The water level is changing at - 0.016 centimeters per minute when the water is 10 centimeters deep.
Step-by-step explanation:
From Geometry, the volume of the cone (\(V\)), measured in cubic centimeters, is defined by:
\(V = \frac{\pi\cdot r^{2}\cdot h}{3}\) (1)
Where:
\(r\) - Radius, measured in centimeters.
\(h\) - Height, measured in centimeters.
Then, we find a formula for the rate of change of the volume of the birth bath (\(\dot V\)), measured in cubic centimeters per minute, by means of differentiation:
\(\dot V = \frac{\pi}{3}\cdot \left(2\cdot r\cdot h\cdot \dot r + r^{2}\cdot \dot h \right)\) (2)
Where:
\(\dot r\) - Rate of change of radius, measured in centimeters per minute.
\(\dot h\) - Rate of change of height, measured in centimeters per minute.
In addition, we have the following relationship:
\(r = 2\cdot h\) (3)
And by Differential Calculus:
\(\dot r = 2\cdot \dot h\) (4)
By applying (3) and (4) in (2), we find the following expanded formula:
\(\dot V = \frac{\pi}{3}\cdot \left[2\cdot (2\cdot h)\cdot (2\cdot \dot h)+4\cdot h^{2}\cdot \dot h\right]\)
\(\dot V = \frac{\pi}{3}\cdot (8\cdot h+4\cdot h^{2})\cdot \dot h\) (5)
If \(\dot V = -8\,\frac{cm^{3}}{min}\) and \(h = 10\,cm\), then the rate of change of the water level is:
\(\dot h = \frac{\dot V}{\frac{\pi}{3}\cdot (8\cdot h + 4\cdot h^{2}) }\)
\(\dot h = \frac{-8\,\frac{cm^{3}}{min} }{\frac{\pi}{3}\cdot [8\cdot (10\,cm)+4\cdot (10\,cm)^{2}] }\)
\(\dot h \approx -0.016\,\frac{cm}{min}\)
The water level is changing at - 0.016 centimeters per minute when the water is 10 centimeters deep.
Read the following prompt and type your response in the space provided.
Describe the relationship between the probability of an event and its complement.
If the probability of an event is 0.95, what is the probability of its complement?
The probability of the complement of the event is 0.05.
The complement of an event is the probability of that event not occurring. The relationship between the probability of an event and its complement is that they always add up to 1.
Therefore, if the probability of an event occurring is p, then the probability of its complement not occurring is 1-p.
In the case where the probability of an event is 0.95, the probability of its complement not occurring would be 1-0.95 = 0.05. This means that the probability of the complement of the event is 0.05.
This concept is important in probability theory and is used to calculate the probabilities of events and their complements. It allows us to consider all possible outcomes of a given situation and calculate the likelihood of each of them.
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Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length of Y Z is 9, the length of X Z is 12, and the length of hypotenuse X Y is 15.
Given △QRS ~ △XYZ, what is the value of tan(Q)?
Three-fifths
Three-fourths
Four-fifths
Answer:three-fourths
Step-by-step explanation:
because my dad said it was right
Pete grabbed 18 mixed nuts, StartFraction 2 Over 9 EndFraction of which were almonds. Which equation shows how to determine the number of almonds Pete grabbed?
18 divided by StartFraction 2 Over 9 EndFraction = 81
18 times StartFraction 2 Over 9 EndFraction = 4
StartFraction 2 Over 9 EndFraction divided by 18 = StartFraction 1 Over 81 EndFraction
StartFraction 9 Over 2 EndFraction divided by 18 = one-fourth
Answer:
18 times StartFraction 2 Over 9 EndFraction = 4
Amount of almonds = 18 × [2/9]
Amount of almonds = 4 almonds
Step-by-step explanation:
Given:
Number of mixed nuts = 18
Probability of almonds = 2/9
Find:
Amount of almonds
Computation:
Amount of almonds = Number of mixed nuts × Probability of almonds
Amount of almonds = 18 × [2/9]
Amount of almonds = 36 / 4
Amount of almonds = 4 almonds
Answer:
IT'S B I CAN CONFIRM BC I JUST FINISHED THE TEST
Step-by-step explanation:
i need help with this!
Answer:
to convey the parametric expression to be use the explosions
Jemima has twice as much money
as Matthew. Jemima has four times
as much money as Sally, Sally has
$3 more than Andrew. If Matthew
has $14, how much money do
Andrew, Sally and Jemima have?
NO LINKS!! Please help me with this problem
#1
\(\\ \rm\Rrightarrow \dfrac{WX}{GH}=\dfrac{UY}{JI}\)
\(\\ \rm\Rrightarrow \dfrac{8}{14}=\dfrac{UY}{28}\)
\(\\ \rm\Rrightarrow \dfrac{8(28)}{14}=UY\)
\(\\ \rm\Rrightarrow UY=8(2)=16\)
#2
\(\\ \rm\Rrightarrow \dfrac{UV}{UY}=\dfrac{FJ}{JI}\)
\(\\ \rm\Rrightarrow \dfrac{UV}{16}=\dfrac{21}{28}\)
\(\\ \rm\Rrightarrow UV=\dfrac{3}{4}\times 16\)
\(\\ \rm\Rrightarrow UV=3(4)=12\)
#3
\(\\ \rm\Rrightarrow \dfrac{WX}{XY}=\dfrac{GH}{HI}\)
\(\\ \rm\Rrightarrow \dfrac{8}{XY}=\dfrac{14}{35}=\dfrac{2}{5}\)
\(\\ \rm\Rrightarrow 2XY=40\)
\(\\ \rm\Rrightarrow XY=20\)
Answer:
UY = 16
UV = 12
XY = 20
Step-by-step explanation:
If UVWXY ~ JFGHI
then:
UV~JF
VW~FG
WX~GH
XY~HI
UY~JI
The only pair of sides that both have measures is WX and GH:
WX = 8
GH = 14
⇒ GH/WX = 14/8 = 1.75
Therefore, JFGHI is and enlargement of UVWXY by scale factor 1.75
As IJ = 28
⇒ UY = 28 ÷ 1.75 = 16
As JF = 21
⇒ UV = 21 ÷ 1.75 = 12
As HI = 35
⇒ XY = 35 ÷ 1.75 = 20
36=-4(20-x)
what is the value of x
Answer:
x = 29
36=-4(20-x)
9=-(20-x)
9=-20+x
-x+9=-20
-x=-20-9
-x=-29
x=29
HELP ASAP PLEASE I need it this doesn’t make sense
Answer:
good luck i just answered for the 5 points
Step-by-step explanation:
3. At the beach, you would like to fill 5 buckets with seashells. You have
8 minutes to do so. If you set a steady pace, how much of a bucket
should
you
fill in each minute?
A. bucket
B. į bucket
c. bucket
D. buckets
Answer: It will be D
Step-by-step explanation: 5 divided by 8 is 1.2
O
M
Jan 28
b) State the minimum monthly income and hourly wage per worker needed to cover monthly
expenses for the family you used in part a. Then, explain how to calculate the hourly wage
based on the monthly income and state the hourly wage. Assume that each full-time worker
works four 40-hour work weeks per month, and each part-time worker works two 40-hour
weeks per month. (10 points)
11:39 US
The minimum monthly income needed for the family to cover expenses would be $4,000, and the hourly wage per worker would be $10 if they work the specified number of hours.
How to determine the minimum monthly income needed for the family to cover expensesLet's assume the monthly expenses for the family are $4,000.
If each full-time worker works four 40-hour work weeks per month, they work a total of 160 hours per month. Similarly, if each part-time worker works two 40-hour work weeks per month, they work a total of 80 hours per month.
To calculate the minimum monthly income needed, we divide the total monthly expenses by the total number of hours worked by all workers in a month:
Minimum Monthly Income = Total Monthly Expenses / Total Work Hours
If the family has, for example, two full-time workers and one part-time worker, the total work hours would be:
Total Work Hours = (2 full-time workers * 160 hours) + (1 part-time worker * 80 hours) = 400 hours
So, the minimum monthly income required would be:
Minimum Monthly Income = $4,000 / 400 hours = $10 per hour
To calculate the hourly wage based on the monthly income, we divide the monthly income by the total work hours of a worker:
Hourly Wage = Monthly Income / Total Work Hours
For example, if the monthly income for a full-time worker is $2,500, the hourly wage would be:
Hourly Wage = $2,500 / 160 hours = $15.63 per hour
Therefore, the minimum monthly income needed for the family to cover expenses would be $4,000, and the hourly wage per worker would be $10 if they work the specified number of hours.
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Which of the following are ordered pairs for the equation y = 7x + 1
(0,-1) (1,8) (-1,-6)
(0,1) (1,8) (-1,-6)
(0,1) (1,-8) (-1,6)
(0,1) (-1,8) (1,-6)
The points which are ordered pairs for the given equation will be equal to (1, 8) and (-1, -6).
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the equation given in the question,
y = 7x + 1
Let's check for the given points,
(0, -1)
-1 = 7(0) + 1
-1 ≠ 1, it is not an ordered pair.
(1, 8)
8 = 7(1) + 1
8 = 8, it is an ordered pair.
(-1, -6)
-6 = 7(-1) + 1
-6 = -6, it is an ordered pair.
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find the greatest common factor of 36 and 60
Answer:
6 and 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Factors of 36 are {1,2,3,4,6,9,12,18,36} . Factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60} . Common factors are }1,2,3,4,6,12} . Hence Greatest Common Factor is 12 .
Find the sum of an ARITHMETIC PROGRESSION whose first term is 6 and last term is 46
Answer:
Step-by-step explanation:
It depends on the number of terms in the progression. If there are n terms:
S_n = n × (6 + 46)/2
Round to the nearest hundredth (2 decimal places) when necessary
Answer:
volume = 693 m²
Step-by-step explanation:
volume = 21 x 33 = 693 m²
Which number line best shows how to solve -4-(-6)?
option 1
option 2
option 3
option 4
Answer:
Your answer would be D, or option four. Reason i choose this is because it stops at two. Other answers go up or down too much.
Step-by-step explanation:
Which equation is equivalent to 60% of 25.
Answer
0.6 • 25 = x
Step-by-step explanation:
60/100 x 25
0.6 x 25