The number of stone pavers needed to go round the patio is 3.
What is the number of stone pavers needed to go round the patio?The first step is to determine the perimeter of the concrete patio.
Perimeter : 12 + 12 + 14 = 38 feet
Number of stone pavers needed to go round the patio : perimeter of the patio / length of each stone paver
38 / 14 = 3
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A spinner has equal regions numbered 1 through 16. What is the probability that the spinner will stop on an even number or a multiple of 3? Write your answer as a decimal rounded to four decimal places if necessary.
Answer: The probability of an event happening is the number of successful outcomes (also known as favorable outcomes) divided by the total number of possible outcomes.
In this case, the spinner has 16 equal regions numbered from 1 to 16, so the total number of possible outcomes is 16.
The spinner will stop on an even number or a multiple of 3 when it stops on one of these numbers: {2, 4, 6, 8, 10, 12, 14, 16, 3, 9, 15}. So the number of successful outcomes is 11.
Therefore, the probability that the spinner will stop on an even number or a multiple of 3 is:
11 / 16
This can be simplified to 11/16, which is equivalent to 0.6875 as a decimal. Rounded to four decimal places, it is 0.6875.
Alternatively, you could divide the 11 favorable outcomes by the 16 possible outcomes and also multiply by 100 to convert it to percentage point probability.
Step-by-step explanation:
Julie ordered data collected on a survey and identified one student's answer of 74 as the median. Thirteen answers were below the median. How many people did she question on her survey?
13students;it had already said it.
A rectangular mural measures 3.5 feet by 5.5 feet. what is the perimeter?
The perimeter of the rectangular mural is 18feets
What is perimeter of a rectangle?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.
The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. l is in this case the length of the rectangle while w is the width of the rectangle. The perimeter, P, is: P=l+l+w+w
P = 2l + 2w = 2(l+w)
The length of the rectangular mural = 3.5 feet
the width = 5.5 width
Therefore the perimeter = 2( 3.5+5.5)
= 2×9 = 18feets
therefore the perimeter of the mural is 18feets
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kite is flying 79 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 57º. Find the length of the string. Round your answer to
the nearest tenth.
Check the picture below.
Make sure your calculator is in Degree mode.
At the ruins of Caesarea, archaeologists discovered a huge hydraulic concreate block with a
volume of 945 cubic meters. The block's dimensions are x meters high by 12x-15 meters
long by 12x-21 meters wide. Find the dimensions of the block.
Dimension is a term used to describe the length, width, and height of an item, such as a box, in common usage.
What is mean by dimension ?In mathematics, a dimension is a way of describing the length or width of an area, a space, or an object as viewed from one particular angle. The measurement of anything's length, width, and height can be put more simply. Typical ways to express dimensions include: Length.
There are three dimensions in everything around us, including the buildings we live in and the items we use on a daily basis.
something's height, length, or width measured in a specific direction: 26 feet by 15 feet is the room's size.
In everyday speech, a dimension is the sum of an object's length, width, and height that describes the size of an object, like a box. A line is one dimension, a plane is two dimensions, and space is three dimensions. In mathematics, the concept of dimension is an extension of these ideas.
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3 Shawn records the lengths in inches of several bugs he collects for a science
project. Complete the line plot of the data.
←
1
12
+
3
4
Answer:
Step-by-step explanation 3:5 copblocking
PLEASE HELP (ASAP)!!!
Lashonda's fish tank has 17 liters of water in it. She plans to add 6 liters per minute until the tank has at least 59 liters.
The inequality expression is 17 + 6x >= 59
How to determine the inequality expressionWe can represent the inequality using the variables x for the number of minutes Lashonda adds water to the tank and y for the total amount of water in the tank.
The inequality will be:
y >= 59
Where y is the total amount of water in the tank after adding x minutes of water
We know that the initial amount of water in the tank is 17 liters and she plans to add 6 liters per minute
y = 17 + 6x
We can substitute this expression of y in the inequality y >= 59:
17 + 6x >= 59
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Complete question
Represent as an inequality. Lashonda's fish tank has 17 liters of water in it. She plans to add 6 liters per minute until the tank has at least 59 liters.
PLEASE HELP FAST!! WILL GET BRAINLIEST
Relation between these given lines are given as follows:
A is parallel to ED is perpendicular to FE is a horizontal lineC is a verticle lineB is perpendicular to DWhat are parallel lines?Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.
Given a graph, there are a few lines in the graph we need to find the relation between them.
Since there is no mathematical data we need to observe the lines as per the graph
Since we already know about parallel and perpendicular.
So, Horizontal and verticle lines are:
A vertical line is a line, parallel to the y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to the x-axis and goes straight, left, and right.
Therefore, Relation between these given lines are given as follows:
A is parallel to ED is perpendicular to FE is a horizontal lineC is a verticle lineB is perpendicular to DLearn more about parallel lines here:
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Isaac goes to the Saturday market with $42 cash. He buys two posters that each cost SP. He leaves the market with $21 cash. What equation
represents this situation?
• 42-p-p=21
• 42/p=21
• 42-p+p=21
•21+42=2•P
The first equation that represents 42 - p -p= 21 is correct.
What is equation and there uses?
An equation is a mathematical statement that express the equality between two or more number of expressions. An equal sign is mandatory for equation. An equation is used to determine unknown values in terms of variables. In our everyday life equation is used by many professionals necessarily. By using equation many complicated problems can be easily solved within a limited time.
What equation represent the statements given in question?
Isaac has $42 cash in hand when arrived Saturday market.
He buys two posters that each cost selling price or SP.
when he leaved the market had $21 cash in hand.
assume, each poster has a price = p
The situation is represented by the following.
initial amount - cost for two posters = final amount
42 - p - p = 21
hence, the first equation that given in the question is correct.
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which of the lines defined here has/have only one unique intercept? A x=8 B -8x-7y=-7 C 9y=5 D -3x-3y=0
Answer: B has only one unique intercept.
Step-by-step explanation: line has only one unique intercept when it is not a vertical or horizontal line, which means it has a slope.
In this case, line A has the equation x = 8, which is a vertical line and does not have a slope, thus it does not have a unique intercept.
Line B has the equation -8x - 7y = -7, which has a slope of -8/7. Since it has a slope, it has one unique intercept.
Line C has the equation 9y = 5, which is a horizontal line and does not have a slope, thus it does not have a unique intercept.
Line D has the equation -3x - 3y = 0, which has a slope of -3/-3 = 1. Since it has a slope, it has one unique intercept.
Thus, only line B has only one unique intercept.
Total+distance+of+biking+is+24+3/4+miles+he+stops+a+third+of+the+way+through+the+trail+to+rest+before+biking+again+he+stop+again+5 3/3 miles past the rest stop where there is a scenic lookout determine the distance in miles he biked up the point of both stops
The distance in miles he biked up to the point of both stops is 10 1/2 miles
How to determine the distance in miles he biked up to the point of both stops.From the question, we have the following parameters that can be used in our computation:
Total distance = 24 3/4 miles
When he stops a third of the way, we have the expression to be (24 3/4)/3
So, we have the following equation
Required distance = 24 3/4 - ((24 3/4)/3 + 5 3/3)
Evaluate
Required distance = 10 1/2
Hence, the distance is 10 1/2 miles
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What is a prime number and a composite number?
give an example of both prime and composite number and explain why its that.
A composite number is any positive integer that can be formed by multiplying two other positive integers.
What are composite numbers?Any positive integer that may be created by multiplying two other positive integers is referred to as a composite number.
A prime number is a natural number greater than one that cannot be calculated as the product of two smaller natural numbers. A composite number is a natural number greater than one that is not prime.
It is, in other words, a positive integer that has at least one divisor besides itself and the number 1.
Solving an example to explain the composite number.
The first five composite numbers are 4, 6, 8, 9, 10, 12, 14, and 15.
They are often referred to as "composites" for short.
So, 33 is a composite number.
Because 33 can be made by multiplying 2 smaller numbers.
The factors of 33 are: 1, 3, 11, 33
So the correct option is (C).
Therefore, 33 is a composite number with factors (C) 1, 3, 11, and 33.
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[tex]\frac{5}{x} -\frac{10}{x^{2}+2x }[/tex]
The factorized form of the given expression is [tex]\frac{ \textbf5}{( \textbf{x + 2})}[/tex].
What is factorisation form?In mathematics, factorisation or factoring is defined as the breaking or decomposition of an entity (for example, a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number or matrix, etc. This concept will be emphasised heavily in your lower secondary classes from grades 6 to 8.
It is simply the division of an integer or polynomial into factors that, when multiplied together, result in the original or initial integer or polynomial. The factorisation method simplifies any algebraic or quadratic equation by representing it as the product of factors rather than expanding the brackets.
Given to simply the expression
⇒ [tex]$ \frac{5}{x} - \frac{10}{x^2 + 2x}[/tex]
[tex]$ \Rightarrow \frac{5}{x} - \frac{10}{x(x + 2)}[/tex]
[tex]$ \Rightarrow \frac{5(x + 2)}{x(x + 2)} - \frac{10}{x(x + 2)}[/tex]
[tex]$ \Rightarrow \frac{5(x + 2) - 10}{x(x + 2)}[/tex]
[tex]$ \Rightarrow \frac{5x + 10 - 10}{x(x + 2)}[/tex]
[tex]$ \Rightarrow \frac{5x}{ x(x + 2)}[/tex]
[tex]$ \Rightarrow \frac{ \textbf5}{( \textbf{x + 2})}[/tex]
Thus, the factorized form of the given expression is [tex]\frac{ \textbf5}{( \textbf{x + 2})}[/tex].
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WILL MARK BRAINLIEST (CORRECT ANSWER)
There are 3 students to 1 adult on a field trip. You need to find the number of adults needed for 24 students. What would the second ratio of the proportion look like if the first proportion is as follows?
3 students/ 1 adult
A. 1/3
B. 24 students/x
C. x/24 students
D. 3/1
Answer:
24 studens
3 students and 1 adult - [tex] \frac{3}{1}
24 students and x adults - [tex]\frac{24}{x}
After solving the answer is 8 adults to 24 kids
Step-by-step explanation:
A force of 70 newtons acts on an area of 20
cm²
The force is increased by 10 newtons.
The area is increased by 10 cm²
Helen says,
pressure
"The pressure decreases by less than 20%"
Is Helen correct?
You must show how you get your answer.
(2 marks)
=
force
area
Yes, Helen is correct. Pressure is directly proportional to force applied. Pressure is inversely proportional to the area.
What is Force?Forces can act over a large or small area and can be strong or weak. A way to gauge the amount of force acting on a region is through pressure. High pressure is produced by a strong push on a small area, whereas low pressure is produced by a weak push distributed over a large area. Force per area is known as pressure.
Here,
Thus, when the area over which it acts is constant, we can state that pressure is directly proportional to force.
As a result, pressure increases as the force acting on a given area increases.
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A farmer has sufficient grains to feed 30 hens for four days. How long will the grains last for 40 hens?
Answer:
Below
Step-by-step explanation:
30 hens x 40 days = 120 hen days of food
120 hen days / 40 hens = 30 days of food for 40 hens
Brian is a salesman for a wholesome computer parts company. He earn straight commission at a rate of 4% last month is total sales were 82,968. What was his gross income last month
Brian's gross income last month will be $3319.
How to calculate the income?The percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
From the information, Brian is a salesman for a wholesome computer parts company. He earn straight commission at a rate of 4% last month is total sales were 82,968.
Brian's gross income last month will be:
= 4% × 82968
= $3319
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What is the solution to the equation?
4√x-4 = 3
OA. -8
OB. 16
O C.85
O D.no solutions
According to the problem the solution to the equation is x -8.
What is solution?A solution is a means of solving a problem or addressing a challenge. It is a set of actions, processes, or strategies that are put in place to achieve a specific result.
To solve this equation, we need to move the 4 to the other side of the equation which will make the left side equal 0. We can do this by subtracting 4 from both sides of the equation:
4√x-4 = 3
4√x - 4 - 4 = 3 - 4
4√x - 8 = -1
Next, we need to isolate the radical on the left side of the equation. To do this, divide both sides of the equation by 4:
4√x - 8 = -1
(4√x - 8) ÷ 4 = (-1) ÷ 4
√x - 2 = -1/4
Finally, to isolate the radical, we can add 2 to both sides of the equation:
√x - 2 = -1/4
√x - 2 + 2 = -1/4 + 2
√x = -8
Therefore, the solution to the equation is x = -8.
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You are driving on a highway and are about 140 miles from a state border. You set your cruise control at 60 miles per hour
and plan to turn it off within 30 miles of the border on either side. Find the minimum and maximum numbers of hours you
will have cruise control on.
Using the absolute value function, we have that:
The minimum time is of 1.833 hours.
The maximum time is of 2.833 hours.
What is the absolute value function?The absolute function is defined by:
|x| = x, x ≥ 0.
|x| = -x, x < 0.
It measures the distance of a point x to the origin, hence |2| = |-2| = 2.
here, we have,
In this problem, the minimum and maximum distances are within 30 miles of 140, hence:
|d - 140| = 30.
The minimum distance is of:
d - 140 = -30
d = 110.
Hence the minimum time(distance divided by velocity) is:
110/60 = 1.833 hours.
The maximum distance is of:
d - 140 = 30
d = 170.
Hence the maximum time(distance divided by velocity) is:
170/60 = 2.833 hours.
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Identify one pair of corresponding angles in the diagram below.
The pair of corresponding angles in the diagram will be 1 and 5.
What are corresponding angles?When two parallel lines are intersected by another line, corresponding angles are the angles that are created in matching corners or corresponding corners with the transversal (i.e. the transversal).
The angles created when a transversal intersects two parallel lines are known as corresponding angles. The sides in any two-dimensional shape that are in the same position are said to be corresponding sides. Any two polygons must be precisely the same size and shape in order for them to be considered congruent. As a result, each of their interior angles and corresponding sides must have the same measurement.
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Which describes the correlation shown in the scatterplot? PLS HURRY
So on solving the provided question given scatter plot shows a negative correlation so correct option is (b).
What is a scatter plot?The values for two different numerical variables are represented by dots in a scatter plot. Each dot's location on the horizontal and vertical axes represents a data point's values. To view relationships between variables, employ scatter plots.
The options given are the following:
A)There is a positive correlation in the data set.
B)There is a negative correlation in the data set.
C)There is no correlation in the data set.
D)More points are needed to determine the correlation.
Positive correlation
We say there is a positive correlation between the variables when the y variable tends to rise when the x variable rises.
Negative correlation
We say there is a negative correlation between the variables when the y variable tends to decrease as the x variable increases.
No correlation
We claim there is no correlation between the two variables when there is no obvious connection between them.
From observing the given graph, we can see that as x value increases, the y value decreases.
So the correlation shown in the scatter plot is a negative correlation.
Therefore the correct option is option(B).
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Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube (I)6655
Answer:
Step-by-step explanation:
yooyyo
Type the correct answer in each box. Use numerals instead of words.
You reflect triangle PQR, with coordinates P(-4, -4), Q(-1, -3), and R(-3, -1), across the x-axis, across the y-axis, and across the x-axis again to form triangle P′Q′R′.
After these reflections, the coordinates of P′ will be ( ____ , ____ ).
After these reflections, the coordinates of P′ will be ( __4__ , __-4__ ).
What are coordinates?
Coordinates are a pair of numbers that identify a specific point on a coordinate plane, which is a grid of integers. Any point's location on a plane can be described by an ordered pair of values (x, y), which are referred to as coordinates.
Step by step Explaination:
* Let's update a few changes.
If x-axis reflection at position (x, y)
∴ Seeing it is (x , -y)
If the y-axis at position (x, y) was reflected
∴ Seeing it is (-x , y)
* Let's deal with the issue.
The triangle PQR, which is defined by the points P(-4, -4), Q(-1, -3), and R. (-3, -1)
Across the x-axis, the triangle is reflected.
PQR is visible along the x-axis.
All y-coordinates of the vertices P, Q, and R have their signs reversed.
∴ The new points are going to be (-4, 4), (-1, 3), and (-3 , 1)
A reflection of the new vertices along the y-axis will occur.
All of the new vertices' x-coordinates had their signs reversed.
The new points are (4, 4), (1, 3), and (3 , 1).
The updated vertex positions will reflect along the x-axis to produce the letters P'Q'R.
∴ The new vertices' y-coordinates all had their signs flipped.
∴ P' = (4 , -4) , Q' = (1 , -3) , R' = (3 , -1) (3 , -1)
The coordinates of P′ following these reflections will be (4 , -4).
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1 If we want to find the volume of the child's toy shown below, we will need to find the volumes of which 3D solids? (Mark all that apply)
A Sphere/Hemisphere
B Prism
C Cylinder
D Pyramid
E Cone
F Cube
The solution is Option C , Option E.
The total volume of the toy is the sum of volumes of cone and cylinder
What is a Cone?A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the centre of base) called the apex or vertex.
The volume of a cone is given by the equation
Volume of Cone = ( 1/3 ) πr²h
where r is the radius of the cone
h is the height of the cone
Surface area of the cone = πrl
where l = √ ( b² + r² )
Given data ,
Let the total volume of the child's toy be represented as V
Now , the value of V is
Let the cone be represented as C
The volume of Cone C = ( 1/3 ) πr²h
The radius of the cone r = 5 cm
The height of the cone h = 13 cm
So , the volume of Cone = ( 1/3 ) π ( 5 )² x 13
The volume of Cone = ( 325/3 )π cm³
Now , the volume of cylinder = πr²h
The height of cylinder = 2 cm
The volume of cylinder = π ( 5 )² x 2
The volume of cylinder = 50π cm³
So , the volume of toy = volume of cylinder + the volume of Cone
The volume of toy = ( 325/3 )π cm³ + 50π cm³
The volume of toy = ( 475/3 )π cm³
Hence , the volume of toy is ( 475/3 )π cm³
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Ramon plans to sell his car and places an ad with x lines. The newspaper charges y dollars for the first g lines and p dollars per extra line to run the ad for a week. If x>g, express the cost of running the ad for a week algebraically.
The algebraic equation that expresses the cost, C, of running the Ad Ramon plans to place in the newspaper where the cost of the first g Ad is y dollars and the cost per extra line is p dollars is; C = y + (x - g)×p
What is an algebraic equation?An algebraic equation contains two algebraic expressions, indicated to be of the same quality or quantity by joining them with a '='. It is a statement that the two expressions on either side of the '=' are equal or equivalent.
The number of lines in the Ad Ramon plans to place in the newspaper = x lines
The amount the newspaper charges for the first g lines = y dollars per week
The amount the newspaper charges for the extra lines = p dollars per week
The possible number of lines in Ramon's Ad = x > g
The cost of running the Ad per week, where x > g is therefore;
The cost for the first g lines added to the cost of the extra lines
The cost of the first g lines = y
The number of extra lines = x - p
The cost of the extra lines is therefore;
Cost of extra lines = (x - g) × p
The cost of running the Ad Ramon plans to place in the newspaper for a week is therefore;
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Identify the sequence that lists sides of A STU in order from shortest to longest.
U
65°
S
45°
T
The sequence that lists the sides of the given triangle STU in order from shortest to longest is, US<ST<UT.
What are the three types of triangles based on their sides?The three types of triangles based on their sides are: equilateral, isosceles and scalene.
What are the three types of triangles based on their angles?The three types of triangles based on their angles are: acute, right and obtuse.
To find the sequence of length from shortest to longest we first need to find the missing angle S,
we're given,
angle U = 65
angle T = 45
Using the property of sum of interior angles of a traingle,
U + T + S = 180 degrees
or, 65 + 45+ S =180
therefore, S = 70
As we know the side opposite to the largest angle is the longest, hence the sequence becomes, US<ST<UT.
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JLQ, MN=5.6, and MQ=8.7. Round to the nearest tenth.
The length of the line segment JN in the triangle JLQ, found by making applying the Pythagorean Theorem is about 6.7 units long
What is the Pythagorean Theorem?The Pythagorean Theorem states that the square of the length of the hypotenuse side is equal to the sum of the squares of the legs of the a right triangle.
The specified information are;
MN = 5.6, MQ = 8.7
Part of the question includes;
The circumcenter of triangle JLQ = M
The circumcenter of a triangle is the point of intersection of the perpendicular bisectors of the sides of the triangle, therefore;
The line segment MN is the perpendicular bisector of the side JQ
The point N is the point the segment MN intersects the side JQ, therefore, N is the midpoint of JQ
NQ = JN by the definition of midpoint of the bisected side JQ
Triangle MNQ is a right triangle, with MQ = 8.7, as the hypotenuse side, and MN and NQ are the legs.
MN = 5.6, therefore, according to the Pythagorean Theorem, we get;
NQ = √(8.7² - 5.6²) ≈ 6.7
JN = NQ ≈ 6.7
The approximate length of the side JN is about 6.7 units long
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Helen is working at her school's bake sale. Each mini cherry pie sells for $4, and each mini peach pie sells for$3 . Helen sells 25 pies and collects $84. How many pies of each kind does she sell?
The number of mini cherry pie and mini peach pie that she sold each would be = 12
How to calculate the quantity of pies sold?The price for each cherry pie = $4
The price for each peach pie = $3
The total price for the whole pies sold = $84
The quantity of each pie sold. is calculated as thus;
= 4+3 = 7
For cherry pie;
= 4/7 × 84
= 336/7
= $48
The number of cherry pie sold = 48/4 = 12
For peach pie;
= 3/7× 84
= 252/7
= $36
The number of peach pie sold = 36/3 = 12
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A commercial jet and a private airplane fly from Denver to Phoenix. It takes the commercial jet 1.2 hours for the flight, and it takes the private airplane 1.8 hours. The speed of the commercial jet is 170 miles per hour faster than the speed of the private airplane. Find the speed, in miles per hour, of both airplanes.
Both planes have a speed of 340 miles per hour and 510 miles per hour, respectively.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
Let tc be the time of commercial jet and tp be the time of private airplane.
Let vc be the speed of commercial jet and vp be the speed of private airplane.
Let dc be the distance of commercial jet and dp be the distance of private airplane.
now,
dc=dp
vc=vp+170
vc*tc=vp*tp
(vp+170)*1.2=vp*1.8
(vp+170)*2=vp*3
2vp+340=3vp
vp=340 miles/hour
vc=340+170
vc=510 miles/ hour
The speed, in miles per hour, of both airplanes is 340 miles per hour and 510 miles per hour.
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First one to answer gets brainlest
Square root of 42.25
Answer:
Square root of 42.25 is 6.5
The square root of 42.25 is 6.5.
To find the square root of 42.25, we need to determine the number that, when multiplied by itself, equals 42.25. In this case, the square root of 42.25 is 6.5 because 6.5 multiplied by itself (6.5 x 6.5) equals 42.25.
Mathematically, it can be represented as:
√42.25
= 6.5
The square root (√) is the inverse operation of squaring a number.
When we square a number, we multiply it by itself.
In this case, squaring 6.5 (6.5 x 6.5) gives us the original value of 42.25.
Therefore, the square root of 42.25 is 6.5.
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