The value of x that makes ∠U and ∠V to be supplementary angles are; x = 15°
What are supplementary angles?
When we are talking about angle theorem and congruency in mathematics, it is well know that supplementary angles are defined as angles whose sum is equal to 180 degrees.
Now, we are given;
∠U = 3x°
∠V = 3(∠U)
Thus;
∠V = 3(3x°) = 9x°
From definition of supplementary angles, we can say that;
3x° + 9x° = 180°
12x = 180°
x = 180/12
x = 15°
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MODELING REAL LIFE Bowling alley A charges $3.75 to rent shoes and $4 per game. Bowling alley B charges $2.50 to rent shoes and $4.50 per game. a. For what numbers of games is the total cost, including a pair of rental shoes, less at bowling alley A? at bowling alley B? Bowling alley A: ___ or more games. Bowling alley B: ___ or___ games .
b. Bowling alley A increases the cost per game by $0.50. How does this affect your answer in part (a)? Explain.
The numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;
Bowling alley A: 5 or more games.
How to solve inequality word problems?Bowling alley A;
Their charges per game is $4 per game
Charges to rent shoes is $3.75
If number of games is x, then we have;
Total Cost = 3.75 + 4x
Bowling alley B;
Their charges per game is $4.50 per game
Charges to rent shoes is $2.50
If number of games is x, then we have;
Total Cost = 2.5 + 4.5x
Now, for the total cost, including a pair of rental shoes, less at bowling alley A, it means that;
2.5 + 4.5x > 3.75 + 4x
Rearrange to get like terms gives;
4.5x - 4x > 3.75 - 2.5
0.4x > 1.25
x > 1.25/0.4
x > 3.125
Thus, the numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;
Bowling alley A: 5 or more games.
B) Bowling alley A increases the cost per game by $0.50. Thus, the inequality is now;
3.75 + 4.5x > 2.5 + 4.5x
This means that the total cost will now always be greater at Bowling alley A
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Determine the sign of your answer, then find the sum or difference. (-10)+1
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Looks like you are finding the \boxed{sum} in this question you are \boxed{\rm{adding}} .}[/tex]
[tex]\large\textsf{Now, let us solve for your given equation.}[/tex]
[tex]\mathsf{(-}\large\textsf{10})\large\textsf{ + 1}\\\\\large\textsf{To find the given answer to this equation, you have to START at }\mathsf{-}\textsf{10 \&}\\\large\textsf{go UP 1 space to the right \& you have reached your answers.}\\\\\mathsf{(-}\large\textsf{10})\large\textsf{ + 1}\\\mathsf{= -}\large\textsf{10 + 1}\\\mathsf{= -\large\textsf{9}}\\\\\\\huge\textbf{Therefore, your answer should be:}\\\huge\boxed{\mathsf{-9}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
PLEASE HELP!!!! I am stuck on this question and I need help for all three!!!
Answer:
a. (0, -5)
b. (4, -5)
c. (-5, 0)
Step-by-step explanation:
True or False:
______1. The number of decimal numbers in the product is based on the number of decimal numbers of the factors.
______2. In multiplying with 0.001, move the decimal point to the right 3 times.
______3. Multiplying decimal is almost the same as multiplying whole numbers.
______4. In 3.41 x 1,000, the product is 3,410.
______5. The product of 16.23 and 17.4 is 282.402.
Answer:
Step-by-step explanation:
describe a sequence of transformation that takes abcd to a'b'c'd'
The quadrilateral A'B'C'D' is the result of reflecting and translating the quadrilateral ABCD.
What kind of rigid transformations were done to transform ABCD to A'B'C'D'?
In this problem we find a representation of a quadrilateral and its image on a Cartesian plane. That image is the result of the following rigid transformations, that is, transformations applied on geometric loci such that Euclidean distance is conserved at every point of the locus.
After a careful inspection, we find that the following two rigid transformations were done:
Reflection about the x-axis.Translation 7 units in the + x direction.Now let is prove this steps:
Given: A(x, y) = (- 5, - 7), B(x, y) = (- 5, - 2), C(x, y) = (- 3, - 4), D(x, y) = (- 3, - 7)
Reflection:
A''(x, y) = (- 5, - 7) + (0, 14)
A''(x, y) = (- 5, 7)
B''(x, y) = (- 5, - 2) + (0, 4)
B''(x, y) = (- 5, 2)
C''(x, y) = (- 3, - 4) + (0, 8)
C''(x, y) = (- 3, 4)
D''(x, y) = (- 3, - 7) + (0, 14)
D''(x, y) = (- 3, 7)
Translation
A'(x, y) = (- 5, 7) + (7, 0)
A'(x, y) = (2, 7)
B'(x, y) = (- 5, 2) + (7, 0)
B'(x, y) = (2, 2)
C'(x, y) = (- 3, 4) + (7, 0)
C'(x, y) = (4, 4)
D'(x, y) = (- 3, 7) + (7, 0)
D'(x, y) = (4, 7)
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What is the solution set for the following
inequality?
6x +12 ≥ 2x + 10
It costs $0.50 per square yard to waterproof canvas. What will it cost to waterproof a canvas truck cover that is 15’ x 24’? A. $6.67 B. $18.00 C. $20.00 D. $180.00
The cost to waterproof a canvas truck cover that is 15’ x 24 will be D. $180.
How to calculate the cost?It should be noted that from the information, it costs $0.50 per square yard to waterproof canvas.
Therefore, the cost to waterproof a canvas truck cover that is 15’ x 24 will be:
= 15 × 24 × $0.50
= $180.00
In conclusion, the correct option is D.
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Perform the indicated operation.
4
0 -4 -8
0
1
0
0
0
1
-1
3
4R3+R1 R1
0
0
0
1
0
0
1
-1
3
Answer:
Can someone help me please
Answer: 4 0 4
Step-by-step explanation:
The altitude of a a in feet of a plain t minutes after lift off is given by a= 3400t + 600 how many minutes after lift off is the plane editive and altitude of 21,000 feet
The plane will be at an altitude of 21,000 feet, 6 minutes after lift off.
For any equation, x = y + a, if we are given the value of any one of the variables, that is either x or y, we can find the value of the other.
Here, we are given an equation
a = 3400t + 600
where a = altitude of the plane in feet
and t = time (in minutes) passed after the plane's lift off
If the altitude of the plane is 21,000 feet
⇒ a = 21,000
Substituting this in the equation, we get
21,000 = 3400t + 600
21,000 - 600 = 3400t
20,400 = 3400t
3400t = 20,400
t = 20,400/ 3,400
t = 204/ 34
t = 6
Thus, the plane will be at an altitude of 21,000 feet, 6 minutes after lift off.
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I NEED HELP WITH MY HOMEWORK SOMEONE HELP PLS
Answer:
No
Step-by-step explanation:
The question is asking for difference which is another term for subtraction.In that regard Amy is correct, however the question asks for the difference between 3 and -5 which means she'd have to subtract 3 from -5 not the other way around.
How do I solve this problem?
6³√/16 + ³√128
Answer:
16∛2
Step-by-step explanation:
It looks like you want to simplify ...
6∛16 +∛128
Simplifying radicalsRadicals are simplified by removing any powers corresponding to the index of the radical. Here, we're taking cube roots, so the expression is simplified by removing cubes from under the radical.
[tex]6\sqrt[3]{16}+\sqrt[3]{128}=6\sqrt[3]{2^3\cdot2}+\sqrt[3]{4^3\cdot2}\\\\=6\cdot2\sqrt[3]{2}+4\sqrt[3]{2}=(12+4)\sqrt[3]{2}\\\\=\boxed{16\sqrt[3]{2}}[/tex]
I need help with number 5
How are the graphs of the functions f(x) = StartRoot 16 EndRoot Superscript x and g(x) = RootIndex 3 StartRoot 64 EndRoot Superscript xrelated?
The functions f(x) and g(x) are equivalent.
The function g(x) increases at a faster rate.
The function g(x) has a greater initial value.
The function g(x) decreases at a faster rate.
The function g(x) increases at a faster rate and has a greater initial value.
Simplify f(x).[tex]f(x) = \left(\sqrt{16}\right)^{x}[/tex][tex]f(x) =\left(\sqrt{4^{2}}\right)^{x}[/tex][tex]f(x) = \left(4\right)^{x}[/tex]Simplify g(x).[tex]g(x)=3\left(\sqrt{64}\right)^{x}[/tex][tex]g(x)=3\left(\sqrt{8^{2}}\right)^{x}[/tex][tex]g(x)=3\left(8\right)^{x}[/tex]Compare the functions f(x) and g(x).f(x) and g(x) are not equivalent as the bases of the exponents are different.We will find the initial value for both our functions (value of functions when x is 0).For x=0,[tex]f(0)=\left(4\right)^{0} = 1[/tex][tex]g(0)=3\left(8\right)^{0}=3*1=3[/tex]The initial value of g(x) is greater than the initial value of f(x).In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.With the help of a graphing tool, the two functions were plotted.The function g(x) increases at a faster rate than the function f(x)(see the attached figure).That means that the value of g(x) is greater than the value of f(x) for the same value of x.Thus,The function g(x) increases at a faster rate and has a greater initial value.To learn more about graph, visit :
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HELP WITH MATH INDUCTIVE OR DEDUCTIVE PLEASE
"Anyone who protrices a hocethorn will be dribbed. Steve was not
dribbed. Therefore, he did not protrice a hocethorn."
O Invalid. The inner circle is those who are dribbed, and the outer circle is those
who protrice a hocethorn.
O Valid. The inner circle is those who are dribbed, and the outer circle is those
who protrice a hocethorn.
O Invalid. The inner circle is those who protrice a hocethorn, and the outer
circle is those who are dribbed.
O Valid. The inner circle is those who protrice a hocethorn, and the outer circle
is those who are dribbed.
Answer: Choice D
Valid. The inner circle is those who protrice a hocethorn, and the outer circle is those who are dribbed.
=======================================================
Explanation:
Refer to the diagram below. It's a visual representation of what choice D is describing.
The "protrice a hocethorn" circle is denoted as "circle P" or simply "P" for short. While circle D refers to those who are dribbed.
If we throw a dart randomly at the inner circle, then we always will land in the outer circle. This is because the inner circle is completely contained within the outer circle. The inner circle is a subset of the outer circle.
If you land in circle P, then you land in circle D.
But Steve did not land in circle D (premise 2). This must mean he could not possibly have landed in circle P.
This is how we reach the conclusion that he did not protrice a hocethorn
For more information, check out the modus tollens rule. Some logic textbooks may refer to it as "denying the consequent".
----------------------------
Here's another example of modus tollens
Premise 1: "If it rains, then the grass gets wet"Premise 2: "The grass did not get wet"Conclusion: "Therefore, it did not rain"We can think of the events "it rains" and "the grass got wet" as two dominoes. If the second domino did not fall over, then there's no way the first one did. This is because first one topples the second.
11
Select the decimal that is equivalent to
44
Choose 1 answer:
0.17
0.17
0.25
0.25
None of the above
Answer: None of the above
Step-by-step explanation:
69+69+69-6+9-69+69+420
Answer:780
Step-by-step explanation:
Answer
The answer would be 630
Step-by-step explanation:
69+69 = 138
138+69 =207
207 - 6 = 201
201 + 9 = 210
210 -69 = 141
141 + 69 =210
21 + 420 = 630
Translate the sentence into an equation.
The sum of 8 times a number and 9 is 7.
Use the variable b for the unknown number.
Answer:
8b + 9 = 7
Step-by-step explanation:
a restaurant offers a $12 dinner special that has 7 choices for an appetizer, 10 choices for an entrée, and 3 choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert?
a meanl can be chosen __ ways
a meal can be chosen is 546 different ways.
When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive
by combining partial samples of different blood specimens. If samples from four people are combined and the
mixture tests negative, we know that all four individual samples are negative. Find the probability of a
positive result for four samples combined into one mixture, assuming the probability of an individual blood
sample testing positive for the virus is 0.09
Answer:
0.246
Step-by-step explanation:
p(virus) = 0.09
= 1-p(none test positive)
=1-(1-0.09)^3
=1-0.91^3
=0.246
You throw a fair six-sided die twice, each number has the same probability,
then add the two numbers. What is the probability of getting a number
divisible by five ?
The probability of getting a number divisible by five is 1 / 9.
We are given that:
a fair six-sided die is thrown 2 times.
Sample space will be:
S = { (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
Let E = probability of getting a number divisible by five
Possible outcomes:
= { (1, 4), (2, 3), (3, 2), (4, 1) }
P(E) = 4 / 36 = 1 / 9
Therefore, the probability of getting a number divisible by five is 1 / 9.
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Can someone explain this to me?
What are the values of c for which f has a removable discontinuity?
1 only
5 only
1 and 7 only
1,5, and 7
Answer:
1 only
Step-by-step explanation:
1 only, as the other points have defined values.
For which equations below is x = -3 a possible solution? Select three options
x = -3 a possible solution for |x| = 3, |–x| = 3 and –|x| = –3.
Here, we are given 6 equations and we need to check for which of the following, x = -3 is a solution.
Let us look at each equation one by one,
1. |x| = 3
if x = -3
|-3| = 3
3 = 3
Hence, -3 is a solution to this equation.
2. |x| = –3
if x = -3
|-3| = -3
3 ≠ -3
Hence, -3 is not a solution to this equation.
3. |–x| = 3
if x = -3
|3| = 3
3 = 3
Hence, -3 is a solution to this equation.
4. |–x| = –3
if x = -3
|3| = -3
3 ≠ -3
Hence, -3 is not a solution to this equation.
5. –|x| = –3
if x = -3
-|3| = -3
-3 = -3
Hence, -3 is a solution to this equation.
4. –|x| = 3
if x = -3
-|3| = 3
-3 ≠ 3
Hence, -3 is not a solution to this equation.
Thus, equations |x| = 3, |–x| = 3 and –|x| = –3 are correct.
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Your solution was incomplete. Check for full content below-
For which equations below is x = –3 a possible solution? Check all that apply.
|x| = 3
|x| = –3
|–x| = 3
|–x| = –3
–|x| = –3
–|x| = 3
According to Chapter 3: Shop Layout, in a scene shop, sheet lumber (such as lauan, plywood, masonite, and MDF) is commonly stored flat in an area that is at least _________________.
Group of answer choices
4'x6'
8'x8'
4'x8'
6'x10'
Shop Layout, in a scene shop, sheet lumber (such as lauan, plywood, masonite, and MDF) is commonly stored flat in an area that is at least C. 4'x8'.
What is the size (area) of sheet lumber?The most common size (area) for sheet lumber is 4 x 8 feet, about 32ft² or 2.97m².
Other areas that sheet lumber can occupy include 2 x 2 feet, 2 x 4 feet, 4 x 4 feet, and 4 x 10 feet.
This implies that sheet lumber does not usually come in the following sizes: 4'x6', 8'x8', and 6'x10'.
Data and Calculations:Length of sheet lumber = 8 feet
Width of sheet lumber = 4 feet
Area of sheet lumber = 32 ft² (8 x 4)
Thus, according to Shop Layout, in a scene shop, sheet lumber (such as lauan, plywood, masonite, and MDF) is commonly stored flat in an area that is at least C. 4'x8'.
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PLS HELP -8+13+(-13)!!!!
Answer:
-8
Step-by-step explanation:
Given the following question:
-8 + 13 + (-13)
Use PEMDAS to solve this question:
13 + (-13) = 0
-8 + 0 = -8
= -8
Hope this helps.
Hello..!
[tex] \: \: \ \: \: \: \: \: \: \: \: \: \: \ \sf \red{ - 8 + 13 + ( - 13)}[/tex]
[tex] \blue{\underline{ \green{ \underline{\sf \green{Explantation: }}}}}[/tex]
First, to solve the problem we take into account the Law of Signs:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \green{\underline{ \blue{\underline{ \red{\sf Law \: of \: \: Signs:}}}}} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \times + = - [/tex]
Once we have the law of signs, we will eliminate the parentheses to subtract, taking into account the law of signs
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \green{ - 8 + 13 - 13}[/tex]
Then we must subtract knowing that when there is a minus and a plus it is automatically minus
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \blue{- 5 - 13}[/tex]
Well, now we will subtract the only thing we have left, which in this case is 5 -13, which gives us -8
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: The \: \: result \: \: is \: \: from \\ \: \: \: \: \: \: \: \sf \green\longmapsto \pink{ - 8}[/tex]
¿Doubts? in the comments
Jordan will hike the trail at a rate of 4mph. Write a linear equation to represent the distance Jordan still has to walk after x hours what does the y intercept represent
The linear equation would be y = 18 - 4x which represents the distance Jordan still has to walk after x hours.
The y-intercept represents the total distance Jordan has to walk.
What is the distance?Distance is defined as the product of speed and time.
We have to determine the distance.
So distance = speed× time
Given that his speed is 4 mph and x hours of walking, then:
So distance = 4 × x
Let it Start of the trail: 0 miles
And the end of the trail: 18 miles
The trail length is 18 miles, so if he walked 1 mile, 18 - 1 = 17 miles are left, in general:
⇒ y = 17 - 4(x)
Here y would be the distance Jordan still has to walk.
The y-intercept would be if substitute x = 0, then:
⇒ y = 17- 4(0)
⇒ y = 17
This represents the total distance Jordan has to walk
Hence, the linear equation would be y = 18 - 4x which represents the distance Jordan still has to walk after x hours.
The y-intercept represents the total distance Jordan has to walk.
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Solve for f can somebody help
Answer: f < 9
Step-by-step explanation:
first, cross multiply 2 and 2:
f - 5 < 4
f < 9
Answer:
f < 9
Step-by-step explanation:
=> (f-5)/2 < 2
multiplying both sides by 2
=> 2(f-5)/2 < 2×2
=> f-5 < 4
adding 5 to both sides
=> f-5+5 < 4+5
=> f < 9
Make x the subject of this formula: c = 7x - hx
Answer:
x = c / (7 - h)
Step-by-step explanation:
c = 7x - hx
c = x(7 - h)
x = c / (7 - h)
4. Michelle and Joyce had an equal number of stickers.
After Michelle gave away 8 stickers to her sister and
Joyce bought twice as many stickers as what she had at first,
Joyce had 4 times as many stickers as Michelle.
How many stickers did Joyce buy?
As per given condition of Joyce bought twice of she had at first ,number of stickers bought by Joyce is equal to 32.
As given in the question,
Let x represents the number of Michelle stickers
and y represents the number of Joyce stickers
As per given condition,
Michelle and Joyce had an equal number of stickers
x =y __(1)
Joyce bought twice she had at first and had 4 times as many stickers as Michelle
2y = 4(x-8) __(2)
From (1) and (2) ,
2y = 4 ( y-8)
⇒ 2y = 4y -32
⇒4y -2y = 32
⇒ 2y = 32
Therefore, as per given condition of Joyce bought twice of she had at first ,number of stickers bought by Joyce is equal to 32.
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Answer:
As per given condition of Joyce bought twice of she had at first ,number of stickers bought by Joyce is equal to 32.
Step-by-step explanation:
Exit This table reflects the result of a survey conducted in a town to find out the number of cars of a particular color. Which of the following ranges would be appropriate to use in order to represent the numerical data on the vertical axis of a Bar Graph? A. 10 to 20 B. 20 to 100 C. 0 to 50 D. 0 to 30
The range that would be the most approx to represent the numerical data on the vertical axis is B. 20 to 100.
Bar graph :
Bar graphs are the pictorial representation of data (generally grouped), in the form of vertical or horizontal rectangular bars, where the length of bars is proportional to the measure of data
The range that would be the most approx to represent the numerical data on the vertical axis is B. 20 to 100.
because
it is not possible to have zero number of cars that have a particular color,
in That way, we can eliminate options C and D .
in option A the range is too small which is not possible.
the table is not included but the range of 20 to 100 is most appropriate for the number of cars in town with a particular color.
this is because towns would normally have between hundreds and thousands of cars which means that cars of a particular color would be between 20 and 100 at least.
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The range that would be the most approx to represent the numerical data on the vertical axis is B. 20 to 100.
Bar graph :
Bar graphs are the pictorial representation of data (generally grouped), in the form of vertical or horizontal rectangular bars, where the length of bars is proportional to the measure of data
The range that would be the most approx to represent the numerical data on the vertical axis is B. 20 to 100.
because
it is not possible to have zero number of cars that have a particular color,
in That way, we can eliminate options C and D .
in option A the range is too small which is not possible.
the table is not included but the range of 20 to 100 is most appropriate for the number of cars in town with a particular color.
this is because towns would normally have between hundreds and thousands of cars which means that cars of a particular color would be between 20 and 100 at least.
I’ll give brainless to the right answer
Answer:
I think it's the Distributive Property
Step-by-step explanation:
I think it's this because in order to get the parentheses out you have to multiply by the outside number.
5(x+2) and get 5x+10