The following examples are shown below:
Natural numbers: 2, 9Integers: - 3, 0Rational numbers: 5 / 7, - 13 / 8Irrational numbers: √5, πReal numbers: 0, √6What kind of real numbers does exist?In this problem we have to present five types of real numbers, which are defined and shown below:
Natural numbers - Smallest subset of real numbers: N = {1, 2, 3, 4, ...}. Examples: 2, 7, 9Integers - Combination of the subset of real numbers and another subset N' = {0, - 1, - 2, - 3, - 4, ...}. Examples: - 5, - 3, 0, 5, 8Rational numbers - Subset of all real numbers of the form m / n, where m and n are integers and n is a non-zero integer. Natural numbers and integers are also rational numbers. Examples: 5 / 7, - 9 / 11, 19 / 3, - 10 / 7Irrational numbers - Subset of all real numbers that are not rational. This subset is the complement of the subset of rational numbers. Examples: √2, - e, πReal numbers - Set of all rational and irrational numbers. Examples: - 5, 0, 2, 19 / 3, √3To learn more on real numbers: https://brainly.com/question/551408
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5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts
are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three
complete sentences, explain how the graphs of the functions for the two months are similar
and how they are different.
The function exists
Last month: 2x + 3y = 1,470
Next month: 2x + 3y = 1,593
What is meant by functions?An expression, rule, or law in mathematics that establishes the link between an independent variable and a dependent variable (the dependent variable)
Given: Profit of every sandwich = $2
Profit of every wrap = $3
Let x be the number of sandwich and
y be the number of wrap
Last month: 2x + 3y = 1,470
Next month: 2x + 3y = 1,593
Both still have the same profit. $2 for sandwiches and $3 for wraps.
The only reason why there exists a difference in the total amount exists the change in the number of sandwich or wrap sold in a given month.
Therefore, the next month's total sale exists higher than last month's total sale, it exists safe to assume that the sale of sandwich or wrap exists higher than last month's sale.
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fine the value of x. please help
The algebraic expression should often take one of the following forms: addition, subtraction, multiplication, or division. Bring the variable to the left and the remaining values to the right to determine the value of x. To determine the outcome, simplify the values.
How do you find the value of x/ In algebra, the letter "x" is frequently used to denote an unknown value. It is referred to as a "variable" or occasionally a "unknown. "x is a variable in x + 2 = 7, but we can figure out its value if we try! The order in which you perform operations in arithmetic and algebra is governed by a number of laws. The Commutative, Associative, and Distributive Laws are the three that receive the most attention.People have discovered over time that the sequence of the numbers has no bearing on the results of addition or multiplication.x+ 38+103= 180
x+141 =180
x =180- 141
x = 39
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SLook at point in the coordinate grid.If a line contains both points and the origin, which point would the line also contain? *(2 points)DS(12,8)(14,7)(15,9)(20, 12)5tvAle--AR
the point which will fall in the line is (14, 7)
Explanation:
The coordinates o f S = (2, 1)
When we draw a line from the origin (0, 0) touching the point S, we will see the next point will be (4, 2). Followed by (6, 3).
So when we look at the trend, we see that the x axis is the double of the y axis:
(2y, y) = (x, y)
(2,1 ) , (4, 2), (6, 3)
From the above, we can say the point which will fall in the line will follow that trend:
When we check the options, the only point with that trend is (14, 7).
This because (2(7), 7) = (2y, y)
Hence, the point which will fall in the line is (14, 7)
The cost of mailing a package is proportional to the weight of the package. The proportional relationship can be represented with the equation c = 0.4w, where c represents the total cost and w represents weight in ounces. A graph for the equation is shown.
graph with x axis labeled weight in ounces and y axis labeled cost in dollars, with a line from 0 comma 0 going through 2 comma 0.8
Which of the following statements is true about the graph shown?
The graph is incorrect and the line should go through the point (0.4, 1).
The equation c = 0.4w is correctly represented by the graph.
The x-axis and y-axis are labeled incorrectly.
The graph does not show a proportional relationship.
Among the given statements The equation c = 0.4w is correctly represented by the graph is correct.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A proportional relationship graph between two variables is a relationship where the ratio between the two variables is always the same.
By given the equation c = 0.4w, where c represents the total cost and w represents weight in ounces.
Given that graph with x axis labeled weight in ounces and y axis labeled cost
Let us construct a table
Weight(x) 1 2
Cost (Y) 0.4 0.8
As given graph with x axis labeled weight in ounces and y axis labeled cost in dollars, with a line from 0 comma 0 going through 2 comma 0.8
The equation c = 0.4w is correctly represented by the graph.
Hence among the given statements The equation c = 0.4w is correctly represented by the graph is correct.
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please help me answer this question
Answer:
Step-by-step explanation:
130 decrease
Isabella is making bread. She has 7/2 cups of flour. each loaf uses 3/4 cup of flour. How many whole loaves of bread can Isabella make? will she have flour left over?
A. 5 loaves with flour left over.
B. 5 loaves with no flour left over.
C. 4 loaves with flour left over.
D. 4 loaves with no flour left over.
Please help
Answer: C. Four loaves, with flour left over.
Step-by-step explanation:
7/2 simplifies to 3 1/2
Do the math,
3/4 + 3/4 = 1 1/2 2 loaves
1 1/2 + 3/4 = 2 1/4 3 loaves
2 1/4 + 3/4 = 3 4 loaves
Now when we add 3/4 to 3, we get more than 3 1/2. Which means we do not have enough flour for another loaf of bread. So, we can make four loaves and still have some four left over. The answer is C.
Can someone help me with this?
Answer:
y = 77
Step-by-step explanation:
[tex]\frac{7}{3}[/tex] = [tex]\frac{y}{33}[/tex] ( cross- multiply )
3y = 7 × 33 = 231 ( divide both sides by 3 )
y = 77
The answer to this math question is 77
Tanya is training a turtle for a turtle race. For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. At what rate is the turtle crawling in miles per hour
If Tanya is training a turtle for a turtle race. For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. The rate that the turtle is crawling in miles per hour is: 0.2 miles /hour .
Determining the Unit rate per mileGiven data:
1/2 of an hour = 1/20 of a mile
Now let determine the unit rate
Unit rate that the turtle is crawling is: (1/20)/(1/2)
Hence,
Unit rate = (1/20)×(2/1)
Unit rate = 2/20 miles/hour
Unit rate = 0.2 miles /hour
Therefore the rate is 0.2 miles per hour.
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If for every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. then 0.1mile/ hour is the rate at which turtle travel per hour.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that,
A turtle is trained by Tanya,
For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile.
We need to find at what rate the turtle is travelling per hour.
Let x be the distance travelled by turtle in hour.
1/20/1/2=x/1
Apply cross multiplication
x/2=1/20
x=2/20
x=0.1 miles / hour
Hence 0.1 miles per hour is the turtle travelling per hour.
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The vertices of Triangle FGH are F(-4, -5), G(-3, -2), and H(-1, -3). What are F’G’H’ for a dilation by scale factor of 1/2?
The coordinates of the triangle FGH after dilating by 1/2 is F'(-2, -5/2), G'(-3/2, -1), and H'(-1/2, -3/2)
How to determine the coordinates of FGH after the dilation?From the question, the given parameters are the vertices of Triangle FGH
The vertices are represented as
F(-4, -5), G(-3, -2), and H(-1, -3).
Also, from the question, we have
The scale factor of dilation is
k = 1/2
The above implies that
k represents the scale factor of dilation
The coordinates after the dilation is calculated as
Image of dilation = Vertices of the triangle x Scale factor
Substitute the known values in the above equation
So, we have
Image of dilation = [F(-4, -5), G(-3, -2), and H(-1, -3)] x 1/2
Evaluate the products
So, we have
Image of dilation = F'(-2, -5/2), G'(-3/2, -1), and H'(-1/2, -3/2)
Hence, the image after the dilation is F'(-2, -5/2), G'(-3/2, -1), and H'(-1/2, -3/2)
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Draw a reference triangle and find the trig ratio for the angle (if possible) without a calculator.
Recall the definition of the cosecant function in terms of the sine function:
[tex]\csc (x)=\frac{1}{\sin (x)}[/tex]Draw the angle -210º in the unit circle to find a reference triangle for that angle:
Notice that a 30-60-90 triangle is formed:
Since the side opposite to the 30º angle has a length of 1/2, then:
[tex]\sin (30º)=\frac{1}{2}[/tex]On the other hand, notice that since the angle of -210º lies in the second quadrant, then the value of sin(-210º) is positive:
[tex]\sin (-210º)=\sin (30º)=\frac{1}{2}[/tex]Use the definition of the cosecant function to find csc(-210º):
[tex]\csc (-210)=\frac{1}{\sin (-210º)}=\frac{1}{(\frac{1}{2})}=2[/tex]Therefore, the value of csc(-210º) is equal to 2.
what is equivalent to 0.5×0.6
Answer: 0.3
5/10 x 6/10 = 30/100 = 3/10 = 0.3
the altitude (i.e., height) of a triangle is increasing at a rate of 3.5 cm/minute while the area of the triangle is increasing at a rate of 4.5 square cm/minute. at what rate is the base of the triangle changing when the altitude is 7.5 centimeters and the area is 87 square centimeters?
The rate at which the base of the triangle is changing is equal to,
dB = -6.3 cm/minutes.
From the data given in the question.
The rate of increase in the area of the triangle, dA = 4.5 cm/minute
The rate of increase in the altitude of the triangle, dH = 3.5 cm/minute
The Area of the triangle, A = 87 square centimeters
The altitude of the triangle, H = 7.5 centimeters
The equation for the area of a triangle is equal to
A = 0.5×B×H
Plug in A and H to solve for B at that point:
87 = 0.5×B×7.5
B = 23.2
Differentiate the equation for the area of a triangle to find the rate of change of the area of a triangle (dA):
dA = 0.5× dB× H + 0.5×B × dH.
Plug in known variables to solve for the rate of change of the base dB
dA = 0.5 × dB × H + 0.5 × B × dH
4.5 = 0.5 × dB × 7.5 + 0.5 × 23.2 × 3.5
The rate at which the base of the triangle is changing is equal to,
dB = -6.3 cm/minutes.
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If the measures of two angles of a triangle are 96° and 29°, what is the measure of the third angle?
Answer: measure of the third angle is 55 degrees
Step-by-step explanation: the sum of all interior angles in a triangle is always 180 so, 96+29+x=180.
125+x=180
x=55
Zimak bought 3 xylobars and 5 yackities from the intergalactic Candy store for 1.75 Jeejuju paid 1.88 and got 4 xylobars and 1 yackity.How much would dado pay fir 1 xylobar and 2 yakities?
The amount that Dado will pay for 1 xylobar and 2 yakities is 1.779.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Zimak bought 3 xylobars and 5 from the intergalactic Candy. Let this be:
3x + 5y = 1.75
x = xylobars
y = yackities
Jeejuju paid 1.88 and got 4 xylobars and 1 yackity. Let this be:
4x + y = 1.88
Equate the equations and this will be:
4x + y = 1.88 ....... i
3x + 5y = 1.75 .... ii
From equation i y = 1.88 - 4x
Put this into equation ii
3x + 5y = 1.75
3x + 5(1.88 - 4x) = 1.75
3x + 9.4 - 30x = 1.75
Collect like terms
3x - 30x = 1.75 - 9.4
-27x = -7.65
Divide
x = 7.65 / 27
x = 0.283
xylobars = 0.283
Since 4x + y = 1.88
4(0.283) + y = 1.88
1.132 + y = 1.88
y = 1.88 - 1.132
y = 0.748
The cost for 1 xylobar and 2 yakities will be:
x + 2y
0.283 + 2(0.748)
= 0.283 + 1.496
= 1.779
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Find the volume of a cone with a base diameter of 6 m and a height of 10 m.
Use the value 3.14 for , and do not do any rounding.
Be sure to include the correct unit in your answer.
ANSWER:
94.2m^3
STEP BY STEP:
V = 1/3 x PI x R^2 x h = 1/3 x 3.14 x 3^2 x 10 =94.2^3
Answer:
V = 94.25m³
I don't have enough time to show work because I have to go, but I hope this helped.
23 times 20 algorithom
Answer: using traditional algorithom
23
x 20
__________
0 0
+ 4 6
____________
4 6 0
The relationship between a distance in yards (y) and the same distance in miles (m) is described by the equation
y = 1,760m.
Find measurements in yards and miles for distances by filling in the table.
distance measured in miles 1 5 type your answer type your answer
distance measured in yards
type your answer type your answer 3,520 17,600
The equation for constant proportionality is y ∝ m .
1760 is a constant of proportionality.
What is meant by constant of proportionality?The ratio of two proportional values at a constant value is the proportionality constant. When either the ratio or the product of two variables results in a constant, the connection between the two is proportional. The ratio between the two stated quantities affects the proportionality constant's value.
The formula y = 1760m describes the relationship between a distance in yards (y) and a similar value in miles (m).
As a result, the graph of the aforementioned equation will be a straight line with a constant slope of 1760 that passes through the origin (0, 0).
As a result, a measurement in yards and a measurement in miles have the same proportionality relationship.
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a department store chain is expanding into a new market, and is considering 16 different sites on which to locate 7 stores. assuming that each site is equally likely to be chosen, in how many ways can the sites for the new stores be selected?
A department store chain that is entering a new area is looking at 16 possible locations for the placement of its 7 outlets. There are 57657600 many possible ways to the sites for the new stores.
Given that,
A department store chain that is entering a new area is looking at 16 possibility locations for the placement of its 7 outlets.
We have to find how many different possibility are there to choose the locations for the new businesses, provided that each site has an equal chance of being chosen.
By multiplying the number of possibilities each store has, we may determine the total number of ways.
It can be put on 16 sites for store 1. 15 locations can accommodate Store 2 (since store 1 is already on site 1). Up until shop 7, which has 10 sites, store 3 can be situated on 14 sites.
The quantity of ways is thus:
= 16 × 15 × 14 × 13 × 12 × 11 × 10
= 57657600
Therefore, there are 57657600 many possible ways to the sites for the new stores.
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How does the graph of 2y−x=1 compare with the graph of 3y−x=1?
a.
The graph of 2y−x=1 has a steeper slope than the graph of 3y−x=1.
b.
The graph of 3y−x=1 has a steeper slope than the graph of 2y−x=1.
c.
The graph of 2y−x=1 crosses the x-axis farther to the left than the graph of 3y−x=1.
d.
The graph of 2y−x=1 crosses the x-axis farther to the right than the graph of 3y−x=1.
The way in which the graph of 2y − x = 1 compare with the graph of 3y − x = 1 is that: A. the graph of 2y − x = 1 has a steeper slope than the graph of 3y − x = 1.
What is a steeper slope?In Mathematics, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.
How to interpret the slope?Mathematically, the standard form of the equation of a straight line is given by;
y = mx + c
Where:
x and y are the points.m is the slope or rate of change.c is the intercept.For the graph of 2y − x = 1, the slope is given by:
2y − x = 1
2y = x + 1
y = x/2 + 1/2
Slope, m₁ = 1/2 or 0.5.
For the graph of 3y − x = 1, the slope is given by:
3y − x = 1
3y = x + 1
y = x/3 + 1/3
Slope, m₂ = 1/3 or 0.3.
Therefore, m₁ > m₂ (steeper slope).
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What four consecutive integers have a sum of 86. Name them
The four consecutive integers are 20, 21, 22, and 23 whose sum is 86.
What do you mean by integer no?using sequential means.
Integers are a collection of whole integers and their antipodes, such as -3, -2, 1, 0, 1, 2, 3, etc.
86 is obtained by adding together the four consecutive integers x, (x+1), (x+2), and (x+3)
x + (x+1), (x+2), and (x+3) = 86
the smallest one, x, is now solved for: 4x + 6 = 86
The numbers are 20, 21, 22, and 23, because 4x = 80 x = 20.
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Answer:
20, 21, 22 & 23
Step-by-step explanation:
Forming the equation,
→ x + (x + 1) + (x + 2) + (x + 3) = 86
→ 4x + 6 = 86
Now the the value of x will be,
→ 4x + 6 = 86
→ 4x = 86 - 6
→ x = 80/4
→ [ x = 20 ]
Then the required numbers will be,
→ x = 20
→ x + 1 = 20 + 1 = 21
→ x + 2 = 20 + 2 = 22
→ x + 3 = 20 + 3 = 23
Hence, numbers are 20, 21, 22, 23.
There were 42 boys and 28 girls in a photography club. Then, 6 more girls joined the club. What was the ratio of the numbers of boys to the numbers of girls in the end? Express the ratio in its simplest form.
Given:
There are given that a total of 42 boys and 28 girls in the photography club.
Explanation:
According to the question:
We need to find the ratio.
So,
We can see a total of 28 girls and 6 more girls.
So,
The total number of girls is:
[tex]28+6=34[/tex]Then,
The numbers of boys to the numbers of girls in the end is:
[tex]\frac{42}{34}=\frac{21}{17}[/tex]Final answer:
Hence, the ratio is shown below:
[tex]21:17[/tex]
Elias has a collection of 1,200 baseball trading cards. Of these cards, 35% are from the American League, 45% are from the National League, the rest are international players. How many trading cards are of international players?
Answer:
240 trading cards
Step-by-step explanation:
20% of 1200 = .2 × 1200 = 240
Which of the equations shown have infinitely many solutions ? Select all that apply. A. 3x-1=3x+1, B. 2x-1=1-2x, c 3x-2=2x-3, D 3(x-1)=3x-3, E. 2x+2=2(x+1), F. 3(x-2)=2(x-3)
Answer:
The equations that have infinitely many solutions are;
[tex]\begin{gathered} 3(x-1)=3x-3 \\ 2x+2=2(x+1) \end{gathered}[/tex]Explanation:
For an equation to have infinitely many solutions, the left-hand side of the equation and the right side of the equation must be equivalent/equal.
That means that the expression before the equal sign must be equivalent to the expression after the decimal.
such as;
[tex]\begin{gathered} x=x \\ x+3=x+3 \\ 2x=2(x) \\ 4x+4=4(x+1) \end{gathered}[/tex]From the given equation, the equations that have their left and right sides equivalent are;
[tex]\begin{gathered} 3(x-1)=3x-3 \\ 3x-3=3x-3 \\ \\ 2x+2=2(x+1) \\ 2x+2=2x+2 \end{gathered}[/tex]Therefore, the equations that have infinitely many solutions are;
[tex]\begin{gathered} 3(x-1)=3x-3 \\ 2x+2=2(x+1) \end{gathered}[/tex]Find the value of x and y. PLEASE EXPLAIN ;)
Answer: man
why bro
Step-by-step explanation:
You type 41 words per minute. How many minutes does it take you to type 615 words?
Given:
Type 41 words per min.
Find-:
How many min. take you to type 615 words
Explanation-:
1 min words type = 41
For 615 words,
41 words typed in 1 min.
For 1 words type it take min is:
[tex]1\text{ Words take time=}\frac{1}{41}\text{ min.}[/tex]For 615 words:
[tex]\begin{gathered} \text{ Time}=\frac{1}{41}\times615 \\ \\ =\frac{615}{41} \\ \\ =15 \end{gathered}[/tex]For type 615 words take time is 15 min.
Answer:
15 minutes.
Step-by-step explanation:
615 / 41
= 15
a report on high school graduation stated that 85 percent of high school students graduate. suppose 3 high school students are randomly selected from different schools. what is the probability that none will graduate?
The probability that exactly none will graduate is [tex]0.003375[/tex].
What is probability?
Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes.
Step-by-step explanation:
Let [tex]X[/tex] be the random variable for the number of students who graduate.
Binomial distribution theorem tells that, [tex]P(X=x)=C(n , x)p^xq^{n-x}[/tex].
Here [tex]p=[/tex]probability of success on a single trial, [tex]q=[/tex]probability of failure on a single trial, [tex]n=[/tex] number of trials.
Given that [tex]p=0.85, q=1-p=1-0.85=0.15[/tex] and [tex]n=3.[/tex]
[tex]P(X=x)=C(3 , x)0.85^x0.15^{3-x}[/tex]
When [tex]3[/tex] students are randomly selected the probability that exactly none will graduate is given by,
[tex]P(X=0)=C(3 , 0)0.85^00.15^{3-0}[/tex]
[tex]P(X=0)=\frac{3!}{0!(3-0)!} 0.15^{3}[/tex]
[tex]P(X=0)=0.15^{3}[/tex]
[tex]P(X=0)=0.003375[/tex]
Hence the probability that exactly none will graduate is [tex]0.003375[/tex].
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Find the area. Pls help with 12-13
12. A = [tex]3x^3-21x[/tex]
A = lw
A = 3x * (-7x * x^2)
(distribute the 3x
A = -21x * x^3
A = [tex]3x^3-21x[/tex]
13. A = [tex]4x^3 -4x[/tex]
A = lw
A = 4x * (x^2 * -7x + 6)
(distribute the 4x)
A = 4x^3 * -28x +24x
A = [tex]4x^3 -4x[/tex]
Please help this is due soon
Hello!
Let's solve:
The sum of all the angles of a triangle is ==> 180 degrees[tex]\hookrightarrow \text{In other words: } x + 59+ 84 + x + 51=180[/tex]
Solve the equation to find the value of 'x'[tex]x + 59 + 84 + x + 51= 180\\2x + 194=180\\2x = -14\\x = -7[/tex]
Since m∠A = x + 51, we just need to plug in x's valuem∠A = x + 51 = -7 + 51 = 44
Answer: 44
Hope that helps!
Given the line 2x +3y =4 what is the y intercept
Answer:
(0, 4/3)
Step-by-step explanation:
2x +3y =4
3y =4 -2x
y = 4/3 - 2/3x
y = -2/3x + 4/3
y = -2/3(0) + 4/3
y = 4/3
-----------
or just plug in 0 for x from the start
2(0) + 3y = 4
3y = 4
y = 4/3
What is the graph of f(x) = 3x - 4, where x ≥ 1?
Here is the graph for you!!
