Answer:
D and E
Step-by-step explanation:
In order for the equations to have infinite amount of solutions, they have to be equal to each other.
A: 3x-1 doesn't equal 3x+1
B: 2x-1 is not equal to 1-2x since they negate each other.
C: 3x-2 doesn't equal 2x-3
D: 3(x-1)=3x-1*3=3x-3 ==> D is an answer.
E: 2(x+1)=2x+1*2=2x+2 ==> E is an answer
F: 3(x-2)=3x-6. However, 2(x-3)=2x-6. 3x-6 doesn't equal 2x-6.
Hence, 3(x-2) doesn't equal 2(x-3).
A small airplane flew 104 miles in 50 minutes.at this rate,how many miles can it fly in one hour? (50 minutes = 5/6 hour)
Answer:
124.8 miles
Step-by-step explanation:
We know that if the rate of change of distance with respect to time remains constant, then the distance and time are proportional .Given : A small airplane flew 104 miles in 50 minutes. Let x be the distance traveled in 1 hour. Also, it is given that Then we have the following proportional equation:-
Hence, it can fly 124.8 miles in an hour.
Harry tosses a nickel 4 times. The probability that he gets at least as many heads as tails is.
The answer is 4/8 or 1/2 or 0.5 or 50%
Step-by-step explanation:
A nickel has two faces, heads and tails
Equation of probability = Number of chances/Total Numbers of chances
So, 4 chances of heads / 8 chances of heads or tails, thus, there is a chance of 50% if Harry tosses the coin 4 times to get a head
What is −10 + |−4| − |−12|?
−6
−12
−18
−22
Answer:
24
Step-by-step explanation:
3/8 × 11=
3/4 × 2 =
.
[tex]{ \bold{(i)}} \: { \blue{ \tt{4.125}}}[/tex]
[tex]{ \bold{(ii)}} \: { \blue{ \tt{1.50}}}[/tex]
Step-by-step explanation:
[tex]{ \bold{(i)}} \: { \green{ \bold{ \frac{3}{8}}}} \times { \green{ \bold{11}}}[/tex]
[tex] = { \green{ \bold{0.375}}} \: \times \: { \green{ \bold{11}}}[/tex]
[tex] = { \red{ \tt{4.125}}}[/tex]
[tex]{ \bold{(ii)}} \: { \green{ \bold{ \frac{3}{4}}}} \: \times \: { \green{ \bold{2}}}[/tex]
[tex] = { \green{ \bold{0.75}}} \: \times \: { \green{ \bold{2}}}[/tex]
[tex] = { \red{ \tt{1.50}}}[/tex]
which expressions can we use to describe how many more seconds tatenda spends than ciara spends mowing lawns during 4 weeks?
The expression used to calculate how many more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks is 4(700t- 750c) .
What is an expression in math example?
2x + 3 is an illustration of a mathematical expression with a variable. Each and every variable needs to have a coefficient, or a value multiplied by the variable. The number 2 is the coefficient of x in the formula 2x + 3, which indicates 2 times x plus 3.time taken by tatenda to mow a square meter of lawn = t seconds
time taken by Ciara to mow a square meter of lawn = c seconds
area mowed by tatenda in a week = 700 square meters
area mowed by Ciara in a week = 750 square meters
the expression used to calculate how many more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks
time taken by tatenda for mowing in 4 weeks = 4 * 700 * t seconds
time taken by Ciara for mowing in 4 weeks = 4 * 750 * c seconds
more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks = [4 * 700 * t ] - [4 * 750 * c]
= 4(700t- 750c)
Therefore, the expression used to calculate how many more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks is 4(700t- 750c).
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Determine if the lines are parallel, perpendicular or neither.
y= -4x - 2 and 12x + 3y = 27
a stick is broken into 3 pieces, by randomly choosing two points along its unit length, and cutting it. what is the expected length of the middle part?
The expected length of the middle part of the stick is 1/3
We know that the Symmetry Principal,
When n points are drooped on a unit segment, the distributions of lengths of the so obtained n + 1 pieces are all the same.
Let the two points have coordinates x and y. Then the expected value of the middle segment is:
[tex]\int\limits^1_0 \int\limits^1_0 {x-y} \, dx~ dy = \frac{1}{3}[/tex]
Let L be the expected value of the length of the middle part of a stick. Since, according to the Symmetry Principle, the lengths of all three segments have the same distribution, their lengths have the same expected value, viz., L.
But in any experiment, the lengths of the three pieces add up to 1.
⇒ 3L= 1
⇒ L = 1/3
Therefore, the expected length of the middle part of the stick is 1/3
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Which perfect squares are nearest the square root of 11?
The perfect squares which are nearest to the square root of 11 as in the task content are; 1 and 4.
Which perfect squares are nearest the square root of 11?It follows from the task content that the perfect squares which are nearest to the square root of 11 are to be determined.
Hence, one must first determine what the square root of 11 is as follows.
The square root of 11 as given in the task content is; √11 = 3.32.
Hence, the numbers which are perfect squares and closest to the number 3.32 are; 1 and 4.
Consequently, it follows that the perfect squares as required are; 1 and 4.
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Which of the following is the inverse of F(x)= 3-x/5
A. F-1(x)= 3 - x/5
B. F-1(x)= 5+x/3
C. F-1(x)= 5x - 3
D. F-1(x)= 3-5x
Answer:
Step-by-step explanation:
B
12 1/2 divided by 5 1/2
Answer:
25/11
Step-by-step explanation:
Convert to improper fractions
25/2 ÷ 11/2
take reciprocal of divisor and multiply
25/2 x 2/11
50/22
25/11
i need help with thisxx
Using translation concepts, we have that:
The x-coordinates in the image are the opposite of the y-coordinates in the pre-image.The y-coordinates in the image are the same as the x-coordinates of the pre-image.Therefore, the triangle was rotated clockwise 270º about the origin.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the vertices of the pre-image are given as follows:
D(-5,2), E(1,5), F(0,-1).
The vertices of the transformed image are given by:
D'(-2, -5), E'(-5,1), F(1,0).
From this, we the rule is given by:
(x,y) -> (-y,x).
Which is equivalent to the rotation rule of a rotation of 270º clockwise.
Hence:
The x-coordinates in the image are the opposite of the y-coordinates in the pre-image.The y-coordinates in the image are the same as the x-coordinates of the pre-image.Therefore, the triangle was rotated clockwise 270º about the origin.More can be learned about translation concepts at https://brainly.com/question/4521517
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Under her cell phone plan, Violet pays a flat cost of $38 per month and $3 per gigabyte. She wants to keep her bill under $80 per month. Which inequality can be used to determine xx, the maximum number of gigabytes Violet can use while staying within her budget? A) 80>3x+38 B) 80>3(38+x) C) 80<3x+38 D) 80<3(38+x)
the inequality is:
$38 + $3*x < $80
And the solution is:
x < 14.
How to find the inequality?We know that Violet's plan has a flat cost of $38 plus $3 per gigabyte.
So, if we define x as the number of gigabytes that Violet uses, then the monthly cost is given by:
C(x)= $38 + x*$3
And she wants to spend less than $80 per month, so we can write the inequality:
$38 + $3*x < $80
Solving that for x we get:
$3*x < $80 - $38 = $42
x < $42/$3
x < 14
We conclude that she needs to use less than 14 gigabytes per month.
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Pls pls help whoever gets it right gets a crown
Answer:
[tex]\frac{15}{56} a^2[/tex]
Step-by-step explanation:
a basketball player recorded the number of baskets he could make depending on how far away he stood from the basketball net. the distance from the net (in feet) is plotted against the number of baskets made as shown below.
If a player is standing 10 feet from the net, he could make approximately option (b) 5 baskets.
What is Distance?
Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.A basketball player recorded the number of baskets he could make depending on how far away he was standing from the net.
The distance from the net in feet is plotted against the number of baskets made.
Now, we see from the graph that when the distance from the net in feet is 10, the ordinate of the point is 5.
So, he could make approximately 5 baskets.
So, the answer is
Using the best fit line, if a player is standing 10 feet from the net, he could make approximately option (b) 5 baskets.
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The complete question is -
A basketball player recorded the number of baskets he could make depending on how far away he stood from the basketball net. The distance from the net (in feet) is plotted against the number of baskets made as shown below. Distance from Net vs. Number of Baskets 25 20 15 . Number of Baskets 10 5 0 0 2 10 12 4 6 8 Distance from Net (feet) Using the best-fit line, approximately how many baskets can the player make if he is standing ten feet from the net?
jamie and imani each play softball. imani has won 5 fewer games than jamie. is it possible for jamie to have won 11 games if the sum of the games imani and jamie have won together is 30? yes; jamie could have won 11 games because 2x − 5
The total number of games won by Jamie is not 11 according to the conditions given in the question.
What is an equation?
The equation is illustrated as a mathematical statement having an equal symbol in between two expressions, '='. It depicts that both sides of the equal sign are equal to each other.
Calculation of the number of games played by Jamie
Let us assume that x and y be the number of games that Jamie and Imani have won
According to the question, Imani has won 5 fewer games than Jamie i.e.
y = x - 5 —-- 1
The total number of games won by Jamie and Imani together is 30
x + y = 30
Using equation 1, put the value of y,
x + x - 5 = 30
2x - 5= 30
Now, substitute x by 11, and we get that the equality does not net
Thus, we can conclude that 11 is not the number of games won by Jamie
Hence, the total number of games won by Jamie is not 11 using the given equations.
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MatemáticasJavier pagó $92 por 5 libretas y 3 lápices. Laura compró 2 libretas y 6 lápices, y pagó $56, ¿cuál es el
precio de cada libreta y de cada lápiz?
A) $11 por una libreta y $5 por un lápiz.
B)
$13 por una libreta y $9 por un lápiz.
C)
$16 por una libreta y $4 por un lápiz.
D) $10 por una libreta y $6 por un lápiz.
If Javier paid $92 for 5 notebooks and 3 pencils and Laura paid $56 for 2 notebooks and 6 pencils, then the price of each notebook is $16 and that of each pencil is $4, calculated using linear equations.
As per question statement, Javier paid $92 for 5 notebooks and 3 pencils while Laura paid $56 for 2 notebooks and 6 pencils.
We are required to calculate the price of each notebook and each pencil.
To solve this question, let us assume that the price of each notebook is "x" and that of each pencil is "y". Now, we will form two linear equations, each with the two assumed variables, based on the conditions mentioned in the question statement, and solving the equations, we will obtain our desired answer.
Since Javier bought 5 notebooks and 3 pencils for $92 and the price of each notebook is assumed to be "x" and that of each pencil is assumed to be "y", we can write that
[tex][(5x+3y)=92]...(1)\\or,5x = 92-3y\\or,x=\frac{(92-3y)}{5}...(2)[/tex]
And in Laura's case, she bought 2 notebooks and 6 pencils for $56, i.e.,
[tex][(2x+6y)=56]...(3)\\or, 2(x+3y)=56\\or, (x+3y)=\frac{56}{2}\\ or,(x+3y)=28\\or,x=(28-3y)...(4)[/tex]
Now, equating (2) and (4), we get,
[tex]x=\frac{(92-3y)}{5}=(28-3y)\\ or, \frac{(92-3y)}{5}=(28-3y)\\ or, (92-3y)=5(28-3y)\\or, 92-3y=140-15y\\or,(15y-3y)=140-92\\or,12y=48\\or,y=\frac{48}{12}=4[/tex]i.e., Price of each pencil is $4.
Now, using (y = 4) in the equation (4), we get,
[tex]x=[28-(3*4)]\\or,x=(28-12)\\or,x=16[/tex]i.e., Price of each notebook is $16.
Hence, the correct answer is
option(C) $16 for a notebook and $4 for a pencil.
linear equations: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and hence comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c) where, 'm' is the slope and 'b' is the y-intercept. Occasionally, it is also called as a "linear equation of two variables," where y and x are the variables.Variable: n Mathematics, a variable is a symbol or a representative of a value, which is unknown.To learn more about Linear Equations, click on the link below.
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What is the most specific name for the figure? I NEED THE ANSWER
Answer:
D. Rhombus
Step-by-step explanation:
The most specific name for this figure is a rhombus.
Hope this helps!
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What power of 7 is 40 353 607?
Answer:
[tex] {} {7}^{x} = 40353607[/tex]
[tex]x = log_{7}(40353607) [/tex]
[tex]x = 9[/tex]
Evaluate the expression (p + 4)^2 for p = -5 and g = -2.
^2 is square 2
=================
Work Shown:
(p+4)^2
(-5+4)^2
(-1)^2
1
Explanation:
We replace p with -5, since p = -5. Then use the order of operations PEMDAS to simplify. Keep in mind that (-1)^2 = (-1)*(-1) = 1. The two negatives cancel out. The value of g is never used.
The diagram shows a rectangle.
The area of the rectangle is 12b²-30b
Write an expression for
a
b
the length of the rectangle
the perimeter of the rectangle.
6b
A
length
N
Answer: The diagram shows a rectangle.
The area of the rectangle is 12b²-30b long a+b+a your answer is aStep-by-step explanation:
A rectangle Expression for "a": a = 12b - 30,Expression for "b": b = (12b² - 30b) / (12b - 30),Length of the rectangle: Length = a = 12b - 30,Perimeter of the rectangle: Perimeter = 2 × (13b - 30)
Let's break down the given information step by step:
The area of the rectangle is given as 12b² - 30b.
The expression for "a":
The area of a rectangle is equal to its length (a) multiplied by its width (b). So, set up the following equation:
Area = Length ×Width
12b² - 30b = a × b
To find the expression for "a," divide both sides of the equation by "b":
a = (12b² - 30b) / b
Simplify the expression for "a":
a = 12b - 30
The expression for "b":
From the same equation as above, that:
Area = Length × Width
12b² - 30b = a × b
To find the expression for "b," divide both sides of the equation by "a":
b = (12b² - 30b) / a
Substitute the value of "a" from the previous expression:
b = (12b² - 30b) / (12b - 30)
The length of the rectangle:
The length of the rectangle is represented by "a," so the expression for the length is: a = 12b - 30
The perimeter of the rectangle:
The perimeter of a rectangle is given by the formula: Perimeter = 2 ×(Length + Width)
Since the rectangle has two pairs of equal sides (opposite sides are equal in a rectangle), the expression for the perimeter will be:
Perimeter = 2 × (a + b)
Substitute the value of "a" from the expression we found earlier:
Perimeter = 2 × ((12b - 30) + b)
Simplify the expression for the perimeter:
Perimeter = 2 ×(13b - 30)
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Elementary and middle school groups typically run for __________, depending on administrator and teacher support for allowing students to miss class for the group sessions.
Elementary and middle school groups typically run for 6 to 8 weeks, depending on administrator and teacher support for allowing students to miss class for the group sessions.
What is elementary education?
Elementary education, can as well be described as the primary education, which is the first stage of education that is followed in the traditional formal education, children at about age 5 to 7 are those that are usually found in the elementary seetings of school.
Its should be noted that Elementary and middle school groups typically run for 6 to 8 weeks, depending on administrator .
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Plsssss helppp 20 points HELPP
What is the slope of the line shown in the graph?
Answer:
slope = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, 4) ← 2 points on the line
m = [tex]\frac{4-0}{0-(-3)}[/tex] = [tex]\frac{4}{0+3}[/tex] = [tex]\frac{4}{3}[/tex]
A collector has a box of 32 figurines. The value of each figurine increased by $2.32 over the past year. The box of figurines is now worth $114.24. What was the original cost, x, of one figurine? The original cost of one figurine was . Convince Me! Can the equation 32x + 2.32 = 114.24 be used to find the original cost of each figurine in the problem above? Explain.
Answer:
Step-by-step explanation:
$1.94.Step-by-step explanation:Initial box of figurine = 32Price increase = 2.32Current worth = $144.24Let x be the initial cost of boxes of figurine. (32 * x) * 2.32 = $144.24.74.24x = $144.24.x = $144.24/74.24= $1.94.Therefore the original cost of the box of figurine is $1.94.
Directions Round each amount to the nearest cent, dime and dollar
1. $32.518
Answer:
$32.52
Step-by-step explanation:
Hope it helps! =D
In the following diagram MATH is a rectangle with an inscribed circle. The circle has a diameter of 8 centimeters and the rectangle has a height of 12 centimeters
Previous 40 Question 1 Find and interpret the mean absolute deviation of the data. 24, 26, 28, 28, 30, 30, 32, 32, 34,36
The mean absolute deviation of the data is 0
The mean absolute deviation of given data is 0.Given that
The data from question:24, 26, 28, 28, 30, 30, 32, 32, 34,36
To find
the mean absolute deviation of the data.So, according to the question
We have,
The data from question:24, 26, 28, 28, 30, 30, 32, 32, 34,36
The mean of that data[tex]mean = \frac{sum\;of\;data}{number\;of\;data}[/tex]
= [tex]\frac{24+26+ 28+ 28+ 30+30+ 32+ 32+ 34+36}{10}[/tex]
= [tex]\frac{300}{10}[/tex]
mean of data = 30
For mean absolute deviation of the data, first we have to find the difference of each data value from mean of data.
So,
24 - 30 = -6
26 - 30 = -4
28 - 30 = -2
28 - 30 = -2
30 - 30 = 0
30 - 30 = 0
32 - 30 = 2
32 - 30 = 2
34 - 30 = 4
36 - 30 = 6
The sum of data after subtracting it's mean∑D = | (-6-4-2-2+0+0+2+2+4+6) |
∑D = 0
The mean absolute deviation of the data,MAD = [tex]\frac{The \;sum \; of \; data \;after \; subtracting \;it's \;mean }{number \;of \;data}[/tex]
MAD = [tex]\frac{\sum D}{10}[/tex]
MAD = [tex]\frac{0}{10}[/tex] = 0
the mean absolute deviation of the data = 0.
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write the equation of each line in slope-intercept form. then graph the line described by the equation
passes through (5,-4) and (-6,5)
(the question is number 6)
please help!!!
i need to find the area of a rectangle with length of three inches and width of 8 inches.
Answer:
24 inches square
Step-by-step explanation:
Area = length x width
A = 3 x 8 = 24
90% is 60 of what number
Answer:
Step-by-step explanation:
150 90x 100/60