Answer:
3/5 < 3/4 (The symbol you need is <.)
Step-by-step explanation:
The problem is asking you to compare the fractions 3/5 and 3/4. You need to supply a comparison symbol, one of {<, =, >}.
Comparing valuesIn general, when you are asked to compare two values, you are being asked which one is greater (or smaller). Sometimes, you are being asked for the amount by which one is greater than the other (their difference), and sometimes you are being asked for the factor by which one is greater than the other (their ratio).
You can do the arithmetic to find the appropriate difference or ratio, or you can use your number sense to identify the larger (or smaller) number.
FractionsAs you know, the denominator of a fraction tells you how many pieces the pie has been divided into.
In the fraction 3/5, the 5 tells you each piece is 1/5 of the whole, that there are 5 equal pieces.
In the fraction 3/4, the 4 tells you each piece is 1/4 of the whole, that there are 4 equal pieces.
A pie divided into 5 pieces instead of 4 has smaller pieces. That is ...
1/5 < 1/4
When there are 3 pieces of each, this relation still holds:
3×(1/5) < 3×(1/4) ⇒ 3/5 < 3/4
__
Additional comment
Here, the numerators are the same, so we only need to compare the denominators to find the relationship. If the denominators are the same, we can compare the numerators.
If neither is the same, it is often useful to multiply one or the other or both of the fractions by some value so they will have a common numerator or denominator. The usual recommendation is to give the fractions a common denominator.
Here, the denominators can be made to be 20 in each case.
[tex]\dfrac{3}{5}=\dfrac{3}{5}\cdot\dfrac{4}{4}=\dfrac{12}{20}\\\\\dfrac{3}{4}=\dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{15}{20}[/tex]
The denominators are now the same, so we can compare values by comparing the numerators. 12 < 15, so 12/20 < 15/20 and 3/5 < 3/4.
HELP PLS EXPLAIN THISSSS
(image included)
Answer:
The slope is [tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
To find the slope, you take 2 points and use rise/run. I used (0,1) and (4,-2) because they look like they are being touched by the line. So by looking at the graph, I have to look at how I can get from (0,1) to (4,-2). So from (0,1), I go down 3 units which makes my number -3, over the run which is 4 units to the right, which makes it positive. so I went down 3 and then went right 4, making this [tex]-\frac{3}{4}[/tex]. You could also use point-slope which means [tex]\frac{y2-y1}{x2-x1}[/tex] or [tex]\frac{-2-1}{4-0}[/tex] which equals the same thing
7 times what makes 2555?
365
304
200
1000
365 is your answer...
7x ≤3x-24 or 10x-1≥9
Answer:
Im not pretty sure but i think thats the answer ^^
Which graph represents the equation 12 = 3x + 4y? Explain how you know.
Answer:
Graph A
Step-by-step explanation:
First, isolate the y variable and simplify
12 = 3x + 4y
-3x+12=4y
-(3/4)x+3=y
From here, you can tell that your graph has a negative slope and a y-intercept at 3.
Graph A is the only graph with a negative slope.
is -4 rational or irrtaional
-4 is a rational number...
11. Pi (π) is the quotient of the circumference (C) and the diameter of a circle.
Type equation here.
The circle is a plane figure whose circumference is given by the formulae [tex]2\pi r[/tex]. Where r is the radius of the circle.
The area of the circle is given by the formulae [tex]\pi r^{2}[/tex] where again r is the radius of the circle and pie is the common factor in both the formulae
We also need to know that the radius of the circle is the half of the diameter of the circle and the diameter is twice the radius
From which we can derive the relation; d=2r where d is the diameter of the circle.
So, the formulae now in terms of diameter becomes [tex]\pi d[/tex] for circumference and [tex]\frac{\pi d^{2} }{4}[/tex] for area of the circle.
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How do I do the histogram
The histogram that represents this data-set is given at the end of the answer.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
When measures are spaced out, such as is the case in this problem, the bins of the histogram represent an interval of values. Hence, in this problem, we consider that:
6 measures are between 160 and 220.3 measures are between 220 and 280.4 measures are between 280 and 340.3 measures are between 340 and 400.2 measures are between 400 and 460.The histogram considering these intervals is given at the end of the answer.
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Pregunta 11
Sin responder
aún
Puntua como
1,0
Desmarcar
¿Cuál de las siguientes expresiones es un número natural?
O a). √2
O b). /6_6
OC). 5-√12
O d). √25
Oe). √8
1- When 5 times the number x is added to 10, the result is 35. What is the result when 3 times x is added to
6?
A. 10
B. 15
C. 21
D. 25
Answer:
C. 21
Step-by-step explanation:
5 times of x is 5x.
5x + 10 = 35
Remove 10 from both sides to get one side x, and the other side a number.
5x + 10 - 10 = 35 - 10
5x = 25
Both sides of the equation can be divided by 5.
x = 5
3 times of x is 3x.
3x + 6
Substitute in x = 5 from the earlier working.
3(5) + 6
= 15 + 6
= 21
Therefore, the result of 3 times x added to 6 is 21.
Hope this helped! ^^
What is the sequence of transformations that maps △ABC to △A′B′C′? Select from the drop-down menus to correctly identify each step. Step 1: Choose... Step 2: Choose... Two triangles on the coordinate plane. Triangle A B C has vertex A at negative 1 comma 2, vertex B at negative 2 comma 5, and vertex C at negative 5 comma 1. Triangle A prime B prime C prime has vertex A prime at 3 comma negative 2, vertex B prime at 4 comma negative 5, and vertex C prime at 7 comma negative 1.
Answer:
Step-by-step explanation:
Any 1 of the following transformations will work. There are others that are also possible.
translation up 4 units, followed by rotation CCW by 90°.
rotation CCW by 90°, followed by translation left 4 units.
rotation CCW 90° about the center (-2, -2).
Step-by-step explanation:
The order of vertices ABC is clockwise, as is the order of vertices A'B'C'. Thus, if reflection is involved, there are two (or some other even number of) reflections.
The orientation of line CA is to the east. The orientation of line C'A' is to the north, so the figure has been rotated 90° CCW. In general, such rotation can be accomplished by a single transformation about a suitably chosen center. Here, we're told there is a sequence of transformations involved, so a single rotation is probably not of interest.
If we rotate the figure 90° CCW, we find it ends up 4 units east of the final position. So, one possible transformation is 90° CCW + translation left 4 units.
If we rotate the final figure 90° CW, we find it ends up 4 units north of the starting position. So, another possible transformation is translation up 4 units + rotation 90° CCW.
Of course, rotation 90° CCW in either case is the same as rotation 270° CW.
_____
Answer:
Step-by-step explanation:
The orientation of line CA is to the east. The orientation of line C'A' is to the north, so the figure has been rotated 90° CCW. In general, such rotation can be accomplished by a single transformation about a suitably chosen center. Here, we're told there is a sequence of transformations involved, so a single rotation is probably not of interest.
If we rotate the figure 90° CCW, we find it ends up 4 units east of the final position. So, one possible transformation is 90° CCW + translation left 4 units.
the following five questions are focused around a startup company. management is trying to gain insight on current employees and have sent out a short anonymous survey to them. read each prompt carefully and determine the variable type for each question. employees were asked to report their typical daily commute time, in minutes. what type of variable would their response be considered?
The correct option is C. Quantitative Continuous
The type of variable would their response be considered is Quantitative Continuous Variable.
What is Quantitative Continuous Variable?Quantitative variables describe some aspect of the individual and are frequently measured (for example, body mass is evaluated with a scale) or counted (for example, the number of needle punctures necessary to receive the biopsy specimen has been counted).
A quantitative variable could be discrete or continuous. A continuous variable can theoretically take on any value under an interval.
Some key features regarding the Quantitative Continuous Variable are-
Continuous variables can accept any value within a given range. Continuous variables are also metric or quantitative variables because they can contain an infinite number and value between two points. A variable is continuous if members of the group can theoretically fall any place on a spectrum to small amounts of an attribute on one end and huge quantities of a feature on the other. Continuous variables are frequently measured in units that are infinitely small.To know more about the Quantitative Continuous Variable, here
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The complete question is-
The following five questions are focused around a startup company. Management is trying to gain insight on current employees and have sent out a short anonymous survey to them. Read each prompt carefully and determine the variable type for each question.
Employees were asked to report their typical daily commute time, in minutes. What type of variable would their response be considered?
A. Categorical Nominal
B. Categorical Ordinal
C. Quantitative Continuous
D. Quantitative Discrete
Find the product. Write your answer as a fraction in simplest form.
-2(-1 1/4)
Answer:
2.5
Step-by-step explanation:
Answer: 2.5
Step-by-step explanation:
Negative times negative equals positive
2 * 1.25 = 2 * 1 + .25 * 2 = 2.5
Isabel sold t-shirts at a festival and made profit of $71. She made $4 for each t-shirt she sold. Her total expenses were $25. How many t-shirts did she sell?
Answer:24
Step-by-step explanation:
71 + 25=96
96 divided by 4 equals 24
you have to add her profit and her expenses to see how much she needed to sell
Molly's dad is five times as old as Molly is. Her dad is also as old as the sum of the ages of Molly and her older twin brothers, Dwight and Jim. The twins are both 12 years old.
How old is Molly's dad?
Answer:
30 years old
Step-by-step explanation:
5x = x + 2(12)
5x = x + 24
4x = 24
x = 6
5(x)
5(6) = 30
Mia uses the formula πr2 to find the area of a circle. What is πr2 an example of?.
πr2 is an example of a (D) model.
What exactly is a model?A mathematical model is a system description that makes use of mathematical concepts and language.The process of developing a mathematical model is known as mathematical modeling.Natural sciences (physics, biology, earth science, chemistry), engineering disciplines (computer science, electrical engineering), and non-physical structures such as the social sciences all use mathematical models (such as economics, psychology, sociology, and political science).The use of statistical equations to solve problems in business or military operations is a large part of the field of operations research.Mathematical models are used in music, linguistics, and philosophy (for example, intensively in analytic philosophy).A model is, for example, the πr2 method for calculating the area of a circle.
Therefore, πr2 is an example of a (D) model.
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The complete question is given below:
Mia uses the formula πr2 to find the area of a circle. What is πr2 an example of?
A. a robot
B. a car
C. a telescope
D. a model
What does k∈R mean in algebra?
Answer: The symbol ∈ indicates set membership and means “is an element of” so that the statement k∈R means that k is an element of the set R. In other words, k is one of the objects in the collection of (possibly many) objects in the set R.
All that applies to square root of 175
Answer:
13.2287566
Step-by-step explanation:
What Is the Square Root of 175? The square root of 175 is defined as the value obtained on the multiplication of an integer by itself which will give the final product as 175. As there is no such integer which on multiplication with itself will give 175 exactly, the square root of 175 is not a whole number.
What are the changes in the resistances (in ohms) corresponding to a tensile strain of 0.064 and a compressive strain of -0.0086 assuming a gage factor gf = 2.10?
ΔRc = - 1.806 are the changes in the resistances (in ohms) corresponding to a tensile strain of 0.064.
What are examples of resistance?
Resistance is characterized as a resistance to yield to something that hinders or slows something down. A youngster battling her kidnapper is an illustration of resistance. Wind against a plane's wings is an illustration of resistance.GF = ΔR/R /E
a) Tensile strain E = 0.064
so ΔR = R . E . G.F
= 100 × 0.064 × 2.10
ΔRt = 13.44
b) Compressive strain E = - 0. 0086
ΔR = R . E . G.F.
= 100 × - 0.0086 × 2.10
ΔRc = - 1.806
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hat number of children occurred the least frequently? calculate this percent. 2, 44.8% 2, 55.2% 0, 20% 5 or more, 4.72% 5 or more, 11.91%
Only (B) 4.72% of the couples polled have 5 or more children.
What do we mean by random sample?A simple random sample (or SRS) in statistics is a subset of individuals (a sample) chosen at random from a larger set (a population) with the same probability.It is the process of selecting a sample at random. In SRS, each subset of k people has the same chance of being chosen for the sample as any other subset of k people.To find what number of children occurred the least frequently:
We know that a total of 1250 couples were polled.Determine the lowest frequency and divide it by the total number of couples surveyed.The lowest frequency corresponds to 5 or more children.The percentage is as follows:
50/1250 × 100 = 4.72Therefore, only (B) 4.72% of the couples polled have 5 or more children.
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The complete question is given below;
A random sample of 1,250 couples was asked the question, "How many children presently reside in your household?"
Number of Children—Frequency
0——250
1——-112
2——560
3 ——201
5 or more ——59
What number of children occurred the least frequently? Calculate this percent
A) 2, 55.2%
B)5 or more, 4.72%
C)5 or more, 11.91%
D)4.21.67%
You order three sandwiches. The tax was 8% off and you tip 5 dollars, You pay a total of $20.66. How much does one sandwich cost?
The cost of one sandwich is $5.7
How to determine the cost of one sandwich?The given parameters are:
Order = 3
Tax = 8% off
Total cost = $20.66
Tip = $5
The cost of one sandwich is calculated as:
Total cost = Order * Cost of One (x) * (1 - tax) + Tip
This gives
20.66 = 3 * x * (1 - 8%) + 5
Subtract 5 from both sides
15.66 = 3 * x * (1 - 8%)
Make x the subject
x = 15.66/[3 * (1 - 8%)]
Evaluate
x = 5.7
Hence, the cost of one sandwich is $5.7
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find a proposition with three variable p, q and r that is true when at most one of the three variables is true, and false otherwise
The proposition with three variable p, q and r are as -
C = (p∧q∧¬r)∨(p∧¬q∧r)∨(¬p∧q∧r)
What is compound proposition?A proposition is defined as a statement that expresses an idea, suggestion, or plan. A proposition is the notion that death penalty is an effective way to reduce crime.
Now, as per the given question-
This compound proposition C employs the outer disjunction (∨), and it is true if and only if any one of finally three propositions is true, (p∧q∧¬r),(p∧¬q∧r),(¬p∧q∧r) is true.First, it is impossible for two or three of these propositions to be true at the same time. As an example, suppose (p∧q∧¬r) and (p∧¬q∧r) are both true, then ¬r is true (from the first conjunction) & r is true (from the second), resulting in a contradiction. All other possible options can be ruled out using the same logic.Because these propositions have become mutually exclusive, C is true if and only if one of the three is true (and false otherwise).
This is only possible if two of p,q, & r are true while the third is false.For instance, (p∧q∧¬r) is true once p and q are true but r is false.
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Your answer should be a polynomial in standard form.
(x - 2)(x - 6)
slope -1/2, passes through (0, 5)
Our standard linear slope equation is:
mx + b = y
We're told our slope is 1/2, so that's our m value.
When x = 0 our value is 5. If you need this visualized, then:
1/2 * 0 +b = 5
0 + b = 5
b = 5
So our equation looks like:
x/2 + 5 = y
Solve the quadratic equation by completing the square.
x²+12x+33=0
[tex]x^2 + 12x=-33 \\ \\ x^2 + 12x+36=3 \\ \\ \boxed{(x+6)^2=3} \\ \\ x+6=\pm \sqrt{3} \\ \\ \boxed{x=-6 \pm \sqrt{3}}[/tex]
Rewrite each expression without using absolute value notation.
|x−1| if x > 1
The value of the expression |x-1| if x>1 without using absolute value notation is x-1.
The Absolute value of any number may be defined as the distance of the given number on a number line from the point of origin. The absolute value of any number x is given by |x|. The absolute value of any number will always give a positive value regardless of the sign of the number.
For example, the absolute value of |-2| is given by 2 and the absolute value of |2| is also given by 2. Here, in the question it is given that x>1.
=> x>1
=> x-1>0
Thus, if x-1>0 then the absolute value of the expression |x-1| is given by x-1 as x-1>0.
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f) (a² - a + b)(a + b − 2)
Answer:
Step-by-step explanation:
Solve d = rt for r
Practice problems algebra
Answer: r=d/t
Step-by-step explanation:
d=rt
d/t=rt/t
r=d/t
Answer:
[tex]r=\frac{d}{t}[/tex]
Step-by-step explanation:
[tex]d=rt[/tex]
Divide both sides by [tex]t[/tex]:
[tex]\frac{d}{t}=r[/tex]
[tex]r=\frac{d}{t}[/tex]
3
43. Be Precise To amend the U.S. Constitution, 4
of the 50 states must approve the amendment.
If 35 states approve an amendment, will the
Constitution be amended?
45, In the voting for City Council Precinct 5, only of all e
To amend the U.S. Constitution, 4 of the 50 states must approve the amendment. The Constitution cannot be amended if 35 states approve an amendment.
What do you mean by the Constitution?Constitution is the basic principles and the laws of a nation, state, or social group that determine the powers and duties of the government and guarantee certain rights to the people in it.
We need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be amended, & that is represented like this:
35/50 >= 3/4
that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify fractions to compare easily:
35/50 >= 3/4
7/10 >= 3/4
now we need to find the least common multiplier of 10 and 4 to take fractions to a common denominator and compare easy.
Lets multiply the numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:
7/10 >= 3/4
(2/2)(7/10) >= (5/5)(3/4)
2*7/2*10 >= 5*3/5*4
14/20 >= 15/20
we can see that inequality does not hold, so,
35/50 >= 3/4
does not hold either.
Therefore, the Constitution cannot be amended.
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1. A block of aluminum occupies a volume of 22.0 mL and weighs
66.8 g. What is its density?
Answer:
3.04 g/mL
Step-by-step explanation:
density = mass/volume
density = 66.8 g / 22.0 mL
density = 3.04 g/mL
Write a multi-way selection statement that adds 1 to minors if age is less than 18, adds 1 to adults if age is 18 through 64 and adds 1 to seniors if age is 65 or older.
The solution is shown below:
What is multi-way selection?In addition to two-way selection, most programming languages provide another selection concept known as multiway selection. Multiway selection chooses among several alternatives. C has two different ways to implement multiway selection: the switch statement and else-if construct.
Given condition:
adds 1 to minors if age is less than 18, adds 1 to adults if age is 18 through 64 and adds 1 to seniors if age is 65 or older.
if age < 18:
minors += 1
else if age < 65:
adults += 1
else:
seniors += 1
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