Answer:
£26750
Step-by-step explanation:
x = salary before the increase
x + x(1.052) = 28141
1.052x = 28141
x = 28141/1.052 = 26750
This means he got a £1391 raise
can someone help me please
Therefore , the solution of the given problem of trigonometry comes out to be Tan θ = - 0.577 and Cot θ = - 1.73.
What does trigonometry actually mean?Trigonometric and cubic spline relationships The fields of mathematics and astronomy were integrated around the third century BC, which is when the field is thought to have been formed. Precise mathematical techniques can be used to solve numerous geometric equations or determine the outcomes of calculations employing them. The study of the six fundamental trigonometric operations is known as trigonometry. They go by many different names and abbreviations, such as sine, divergence, angle, tangent, etc (csc).
Here,
Given :
=> Sin θ = 0.5
and Cos θ = -0.866
Thus,
=> Tan θ = Sin θ /Cos θ
=> Tan θ = 0.5 / -0.866
=> Tan θ = - 0.577
and
=> Cot θ = 1 / Tanθ
=> Cot θ = 1/0.577
=> Cot θ = - 1.73
Therefore , the solution of the given problem of trigonometry comes out to be Tan θ = - 0.577 and Cot θ = - 1.73.
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A fast-food worker works Monday through Friday, 8 hours per day. Daily, the worker receives a -hour break in the morning, a -hour break for lunch, and a -hour break in the afternoon. How many hours of break time does the worker receive per day?
The worker recieves 3 hours of break time per day.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a a fast-food worker works Monday through Friday, 8 hours per day. Daily, the worker receives a hour break in the morning, a hour break for lunch, and a hour break in the afternoon.
The worker recieves three breaks, meaning it recieves 3 hours of break time per day.
Therefore, the worker recieves 3 hours of break time per day.
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Which number is greater: 3 x 10-¹² or 9 x 10-¹¹? How many times as great
The 9 x 10⁻¹¹ is greater number than 3 x 10⁻¹².
What is an absolute value?The absolute value of a number is the distance value from zero without considering the sign of a number. It is also represented as |x|, where x is any number.
We have two numbers:
3 x 10⁻¹² or 9 x 10⁻¹¹.
To find the greater number;
Divide both numbers by 10⁻¹¹.
That means,
3 x 10⁻¹² becomes 3/10.
And 9 x 10⁻¹¹ becomes 9.
The absolute value,
9 > 3/10.
Therefore, 9 x 10⁻¹¹ is greater number.
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1. What is the measurement and unit on the y axis?
The y axis shows a measurement in Kilograms (kg).
What is the measurement and unit on the y axis?The measurement and unit on the y-axis typically depend on the type of graph being used and the data that is being represented. For example, a bar graph typically has a numerical scale on the y-axis that represents the frequency or quantity of the data.The unit can be anything from a number to an abbreviation, depending on the data being represented. For example, if a bar graph is representing the average temperature for each month of the year, the y-axis will typically be marked with degrees Celsius or Fahrenheit.In a line graph, the y-axis can represent a range of values or a change in some value over time. The y-axis is usually marked with the unit of measurement being used, such as meters, seconds, or dollars.For example, if a line graph is showing the change in the stock price of a particular company over a period of time, the y-axis will usually be marked with the dollar symbol ($).In a scatter plot, the y-axis typically represents the values of the second variable being graphed.For example, if a scatter plot is showing the relationship between age and height, the y-axis will be marked with the unit for height, such as centimeters or inches.To learn more about the measurement and unit on the y axis refer to:
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A = (2, -5); B = (0, -5); C = (2, 5)
The sum of the squares of the lengths of the legs of the triangle is ____
The square of the length of the hypotenuse of the triangle is ____
Answer:
The sum of the squares of the lengths of the legs of the triangle is 104
The square of the length of the hypotenuse of the triangle is 104
Step-by-step explanation:
Looking at the coordinate values (or better still plotting and examining the points on a graph) we see that
AC is a vertical leg with length = 10 (5 - (-5)) , same x coordinates
AB is the base horizontal leg with side = 2 (2-0), same y-coordinates
The sum of the legs of the triangle = 10² + 2² = 100 + 4 = 104
The square of the length of the hypotenuse is also 104 since it is a right triangle
The hypotenuse = √104= 10.2
Below are three real-world problems and three systems of equations. Decide which system of equations represents each problem.
Problem 1
Hailey is organizing a field trip. The school has small buses that can seat 16 students and large buses that can seat 32 students. There are 112 students and 4 bus drivers. How many buses of each size are required?
Problem 2
Nicanor spends $6 on gum. Brand A costs $1 per pack. Brand B costs $2 per pack. Nicanor buys two more packs of brand A gum than brand B gum. How many packs of each gum does he buy?
Problem 3
It takes Francisco 6 hours to read both a book and a magazine. It takes him twice as long to read the book as the magazine. How long does it take Francisco to read each?
a.
x = 2y
x + y = 6
b.
x + y = 4
16x + 32y = 112
c.
x + 2y = 6
y + 2 = x
Below are three real-world problems and three systems of equations. Decide which system of equations represents each problem.
________________________________
Problem 1
Hailey is organizing a field trip. The school has small buses that can seat 16 students and large buses that can seat 32 students. There are 112 students and 4 bus drivers. How many buses of each size are required?
b.
x + y = 4
16x + 32y = 112
________________________________
Problem 2
Nicanor spends $6 on gum. Brand A costs $1 per pack. Brand B costs $2 per pack. Nicanor buys two more packs of brand A gum than brand B gum. How many packs of each gum does he buy?
a.
x = 2y
x + y = 6
________________________________
Problem 3
It takes Francisco 6 hours to read both a book and a magazine. It takes him twice as long to read the book as the magazine. How long does it take Francisco to read each?
c.
x + 2y = 6
y + 2 = x
________________________________
can someone please help me with this it’s geometry, i’ll give brainliest
Answer:
Ur correct it is 6
Step-by-step explanation:
Answer:
x = 6 C
Step-by-step explanation:
x / 9 = 10 / 15
Multiply
15x equal 90
X = 90 / 15
X = 6
U get?
PLEASE HELP ME PLEASSE
Answer:
A
Step-by-step explanation:
Angles 4 and 9 have the same angle measures and are on opposite sides. This makes them alternate. Both 4 and 9 are between lines l and m. This makes them interior. Therefore, A is true.
Answer:
A
Step-by-step explanation:
Which function is shown on the graph?
f(x)-cos function is shown on the graph
Which function is shown on the graph?
The graph shown is a cosine function, f(x)=-cos(x). Cosine is a trigonometric function that is part of the larger family of trigonometric functions such as sine, tangent, and cotangent.This cosine function is plotted on the x-y plane, with the x-axis being the independent variable and the y-axis being the dependent variable.A cosine function is a periodic wave, meaning that it will repeat itself after a certain number of degrees or radians.In this graph, the wave has a negative amplitude of -1 and a period of 2π, meaning that it will repeat itself every 2π radians, or 360°.This cosine wave is shifted along the x-axis by an amount of -π/2, meaning that the wave will begin at -1 on the y-axis instead of 0. The cosine wave will then oscillate between -1 and 1, before returning to -1 and repeating itself again.To learn more about cosine function refer to:
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How do I solve this equation (with steps please, I need to do more of them)
I need it to be in slope intercept form so I can graph it
y + 3 = 2/3 (x+6)
Answer:
2/3x - y + 1=0
Step-by-step explanation:
slope intercept form=ax+by+c=
y+3=2/3(x+6)=
y+3=2/3x+4=
2/3x-y+1=
Each morning Daniel runs 5 miles in 45 minutes. If he keeps the same pace, how long will it take him to run 8.5 miles?
Answer:
Approximately 57 minutes.
Step-by-step explanation:
5 ÷ 45 = 1/9
1/9 · 8.5 = 17/18
An hour = 60 mins so
60 ÷ 18 = 10/3
10/3 · 17 = 56.6666667
also known as 56.67 minutes if rounded to hundreds, 56.7 minutes if rounded to the tenths, and 57 minutes if rounded to a whole number.
Which situation can be modeled by the inequality 7x+6<30?
The correct question which can be modeled by the inequality
7x + 6 < 30 is,
⇒ Dai must complete a project in less than 30 days. He work on a project 7 days each. To date, 6 days have already passed. What is greater number of weeks Dai has left to complete the project.
The correct option is c,
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
The inequality is,
⇒ 7x + 6 < 30
So, For the given inequality, the correct question is,
⇒ Dai must complete a project in less than 30 days. He work on a project 7 days each. To date, 6 days have already passed. What is greater number of weeks Dai has left to complete the project.
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Full Question ;
Which situation can be modeled by the inequality 7z+6 < 30?
A .A landscaper needs at least 30 pounds of fertilizer for lawns. Each lawn uses 7 pounds of fertilizer. What is the greatest number of lawns the landscaper can work on?
B. Miranda can spend no more than $30. She spends $7 for lunch and $6 for a subway fare. What is the greatest amount Miranda can spend on coffee?
C. Dai must complete a project in less than 30 days. He works on the project 7 days each week. To date, 6 days O have already passed. What is the greatest number of weeks Dai has left to complete the project?
D. A chef serves less than 30 steaks during dinner time. For 6 hours he serves the same number of steaks each hour. Then he serves 7 more steaks. What is the greatest number of steaks the chef served per hour?
6. Find the coordinates of point P that lie along the directed line segment overline AB from A to B and partitions the line segment in the ratio of 2 to 3.
The ratio of AP to PB is 3 to 2 then the point P exists (8, 2).
What is meant by line segment?An area or portion of a line with two endpoints is known as a line segment. A line segment has a set length as opposed to a line. Both metric measurements, such as millimeters and centimeters, as well as conventional units, such as feet or inches, can be used to measure the length of a line segment.
An uncurved path with two ends is called a line segment. With points at either end, a line segment is drawn.
The arrowheads at both ends are used to portray it as a straight, lengthy, and continuous road. It stretches out both ways. The straight line that connects two places is called a line segment.
Since 3+2 = 5, we are dividing line segment AB into 5 congruent parts with point P 3/5 of the way from A to B.
x-coordinate of P = x-coordinate of A + (3/5)(change in x from A to B)
= -4 + (3/5)(20) = 8
y-coordinate of P = y-coordinate of A + (3/5)(change in y from A to B)
= 8 + (3/5)(-10) = 2
P = (8, 2)
The complete question is:
find the coordinates of point p along the directed line segment ab with A(-4,8) and B(16,-2), so that the ratio of AP to PB is 3 to 2.
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Cate started with $0 in her account. After one week Cate saved $1; after two weeks she saved $4; after three weeks she saved $9; and after four weeks she saved $16.
The answer is neither. Option C
How to determine if the number pattern is linear or exponentialA linear number pattern is a sequence of numbers whose difference between all the terms is the same. When you count, the difference between each successive number is 1. You start with 1, then you add 1 to get 2. Then you add another 1 to get 3. And you keep repeating this addition of 1 process to get the rest of the terms.
Exponential notation is used to represent very large numbers and very small numbers. When representing very large numbers, the exponential notation will have a positive exponent; when representing a really small number, the exponential notation will contain a negative exponent.
From the question, the pattern of the number takes non of the pattern or neither linear or exponential
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Which binomial is a factor of 25x2 + 40xy+16y²?
A. 5x - 4y
B. x - 4y
OC. x+4y
OD. 5x+4y
25x2 + 40xy + 16y2 is a factor of binomial, which is x+4y.
An illustration of a binomial component?The combinations of the factors of the first and last numbers in a polynomial make up the candidate binomial factors for that polynomial. For instance, the number 3X2 - 18X - 15 has the numbers 3 as its first and last numbers, as well as the components 1 and 3. It also includes the numbers 15 as its first and last factors.
A difference of two squares, a difference of cubes, a sum of cubes, or a largest common factor must exist for a binomial to be factorable.
A factor containing two terms is called a binomial factor, for example (x - 4).
25x2 + 40xy + 16y2 is a factor of binomial, which is x+4y.
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look at the pic for the problem lol
Answer:jrifigjitgjtigjijijiij
Step-by-step explanation:
jjfijjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Amy counts butterflies for a science project.
She wants to know how many more butterflies she saw this month than in the past 4 months.
First she adds the number of butterflies she saw in the past 4 months.
She calls this number b. What should Amy do next?
Answer: After adding the number of butterflies she saw in the past 4 months and assigning it to the variable "b", the next step for Amy would be to add the number of butterflies she saw in the current month.
Once she has both the current month and the past 4 months total number of butterflies, she can then subtract the past 4 months total from the current month total.
The result will be the number of butterflies seen this month than in the past 4 months.
Amy can then record and analyze her data.
Regene
Step-by-step explanation:
David has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $298.79. He buys 3 bicycle reflectors for $8.13 each and a pair of bike gloves for $21.79. He plans to spend some or all of the money he has left to buy new biking outfits for $79.43 each. Which inequality can be used to determine xx, the maximum number of outfits David can purchase while staying within his budget?
The inequality that can be used to determine x, the maximum number of outfits David can purchase at the bicycle store while staying within his budget is 344.97 + 79.43x ≤ 540.
What is inequality?An inequality is a mathematical statement that shows that two or more mathematical expressions are unequal.
Inequalities are represented as either:
Greater than (>)Less than (<)Greater or equal to (≥)Less than or equal to (≤)Not equal to (≠).David's total spending budget at the bicycle store = $540
Tax-inclusive Prices:
New Bicycle = $298.79
3 Bicycle reflectors = $24.39 ($8.13 x 3)
A pair of bike gloves = $21.79
Total for the three items = $344.97
The remaining amount of the budget after the three items = $195.03
The cost of new biking outfits per unit = $79.43
Let the maximum number of outfits = x
Inequality:$344.97 + $79.43x ≤ $540
344.97 + 79.43x ≤ 540
79.43x ≤ 540 - 344.97
79.43x ≤ 195.03
x ≤ 2
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Comparing Fractions by finding common denominator
(Picture Attached)
Answer: see below
Step-by-step explanation:
In order to compare these fractions, we must first ensure that the fractions have common denominators (that is the number under the fraction bar). The easiest way to do this is to find the smallest number that both are factors of, which in this case can be done by multiplying 3 by 5. This equals 15. Now, whatever we multiply by the denominator to get 15, we must also multiply by the numerator.
1/3 * 5/5 = 5/15
2/5 * 3/3 = 6/15
Now that the denominators are the same, we can compare the numerators to find the larger fraction. Since 5 is less than 6, 1/3 < 2/5. Hope this helps!
PLEASE HELPP It took Andrea 2.7 hours to drive to her mother's house on Wednesday morning. On her return trip on Thursday night, traffic was heavier, so the trip took her 3 hours. Her average speed on Thursday was 7 mph slower than on Wednesday. What was her average speed on Thursday?
The Average speed of Andrea on thursday is 63 mph and on wednesday was 70 mph.
What is Speed and Distance ?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route. In other words, velocity is a vector, whereas speed is a scalar number.
The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance traveled between them are not the same. The length of the entire journey taken to go from one point to another is the distance traveled.
The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.
Let the average speed on thursday be x mph
Average speed on wednesday was x+7 mph
The distance covered is the same on both journey so
3 * x = 2.7 * (x + 7)
⇒3x - 2.7x = 18.9
⇒x = 63
The Average speed of Andrea on thursday is 63 mph and on wednesday was 70 mph.
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HELP PLEASE ITS DUE IN 5 MINS
Answer:
Q = 133
Step-by-step explanation:
x+13 + 10x+13 + 2x-2 = 180
13x+24 = 180
13x = 156
x = 12
mQ = 10(12) + 13
mQ = 120 + 13
mQ = 133
Find the impedance of the series circuit.
The impedance of the circuit is ( ) ohms.
The impedance of the series circuit is given as follows:
19 ohms.
How to obtain the impedance?To obtain the impedance, we must consider if the circuit is in series or parallel, as follows:
Series: add the impedances.Parallel: calculate the impedances two by two, calculating the division of the product by the sum.The impedances in this problem are given as follows:
6 ohms, 4 ohms and 9 ohms.
They are series, meaning that we can just add them to obtain the equivalent impedance, as follows:
6 ohms + 4 ohms + 9 ohms = 19 ohms.
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Solve the system. Estimate the solution first. Enter whole numbers for the estimated solution and improper fractions in simplest form for the algebraic solution.
3x + y = 3
5x - y = 15
The estimated solution is ( , ).
The algebraic solution is ( , ).
The solution of the system of equation 3x + y = 3, 5x - y = 15 is x = 9 / 4 and y = - 15 / 4.
How to solve system of equation?System of equation can be solved using different method such as elimination method and substitution method.
Let's solve the system of equation by elimination method.
Therefore,
3x + y = 3
5x - y = 15
add the equations
8x = 18
divide both sides of the equation by 8
x = 18 / 8
x = 9 / 4
x = 2 1 / 4
Let's find y.
3x + y = 3
y = 3 - 3x
y = 3 - 3(9 / 4)
y = 3 - 27 / 4
y = 12 - 27/ 4
y = - 15 / 4
Therefore, the solution are x = 9 / 4 and y = - 15 / 4.
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Please show me how to work out these math problems. Only the ones with stairs next them please. Thank you. Don’t understand how to work it out. Try to give me a good and simple step by of how to do this. Thanks .
Answer:
Here
Step-by-step explanation:
To find the area of a composite figure, you need to determine the areas of all the individual shapes that make up the composite figure and add them together.
The result will be the total area of the composite figure, expressed in square units.
Here are some steps you can follow:
Identify all the shapes in the composite figure and label them.Find the area of each individual shape. The formula for the area of different shapes such as a rectangle, triangle, circle, etc.Add the areas of all the individual shapes to find the total area of the composite figure.Express the answer in square units.Example: If the composite figure is made up of a rectangle with area 36 square units and a triangle with area 18 square units, the total area A would be 36 + 18 = 54 square units.
In this case, figure number 1, consists of two rectangles. To find the area of a rectangle, use the formula width x height. Follow these steps:
Step 1: determine the formulas needed. In this case, since there are two rectangles, use the formula width x height.Step 2: break down the composite figure into simpler shapes to solve.Step 3: use the formulas to find the area of each rectangle. For the first rectangle, the width is 8 and the height is 2, so the area is 8 x 2 = 16. For the second rectangle, the height is 4 and the width is 5, so the area is 4 x 5 = 20.Step 4: finally, add the areas of all the rectangles together to find the total area. In this case, the total area is 16 + 20 = 36.Learn more about composite figure here: brainly.com/question/30292204
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7) If the radius is 10 ft, what will be the area of the circle?
Answer:
100π
Step-by-step explanation:
Area of the circle is [tex]\pi r^2[/tex]. r is 10. So, the area is 100π
Select Is a Function or Is not a Function to correctly classify each relation.
[(2, 2), (4, 4), (6, 6), (8, 8)] is the only function among the options.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
(2, 2), (4, 4), (6, 6), (8, 8) = Function [relation ship is linear]
(0, 3), (3, 5), (5, 6),(8, 4) = not function [relationship cannot be justified]
(1,2), (3, 3), (4, 8), (6, 3) = not function [relationship cannot be justified]
(3, 4) (5, 2), (5, 6), 7.3) = not function [relationship cannot be justified]
Thus, (2, 2), (4, 4), (6, 6), (8, 8) is the only function among the options.
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1 2/3 times 2 1/4 times 3 equals what pls help
1 2/3 times 2 1/4 times 3 is equals to 11 1/4.
What is mixed fraction and how to solve the mixed fraction? A mixed fraction is a combination of a whole number and a fraction. It can also be referred to as a mixed number. It is written as a whole number followed by a fractional part, for example 3 3/5.A mixed fraction can be used to represent a part of a whole or a part of a group. For example, if five people are sharing a pizza, the fraction 5/8 could be written as a mixed fraction as 0 5/8.Mixed fractions can be solved by first converting the mixed fractions into an improper fraction. To do this, you multiply the whole number by the denominator of the fraction and add this to the numerator of the fraction. For example, the mixed fraction 3 3/5 could be written as an improper fraction as 18/5.Once the fraction is in improper form, you can use standard fraction methods to solve it. For example, if you need to find the result of 2 3/4 + 5 5/8, you would first convert the fractions to improper fractions (11/4 + 29/8) and then add them together (40/8). To write the fraction in its simplest form, you can divide both the numerator and denominator by the greatest common factor (in this case 8), giving 5/1, or 5.In summary, solving a mixed fraction requires converting it to an improper fraction, then solving it using standard fraction methods, and lastly simplifying it to its simplest form.Solution:
1 2/3 * 2 1/4 * 3 = 11 1/4
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1 2/3 times 2 1/4 times 3 is equals to 11 1/4.
What is mixed fraction and how to solve the mixed fraction?A mixed fraction is a combination of a whole number and a fraction. It can also be referred to as a mixed number. It is written as a whole number followed by a fractional part, for example 3 3/5.
A mixed fraction can be used to represent a part of a whole or a part of a group. For example, if five people are sharing a pizza, the fraction 5/8 could be written as a mixed fraction as 0 5/8.
Mixed fractions can be solved by first converting the mixed fractions into an improper fraction. To do this, you multiply the whole number by the denominator of the fraction and add this to the numerator of the fraction. For example, the mixed fraction 3 3/5 could be written as an improper fraction as 18/5.
Once the fraction is in improper form, you can use standard fraction methods to solve it. For example, if you need to find the result of 2 3/4 + 5 5/8, you would first convert the fractions to improper fractions (11/4 + 29/8) and then add them together (40/8). To write the fraction in its simplest form, you can divide both the numerator and denominator by the greatest common factor (in this case 8), giving 5/1, or 5.
In summary, solving a mixed fraction requires converting it to an improper fraction, then solving it using standard fraction methods, and lastly simplifying it to its simplest form.
1 2/3 * 2 1/4 * 3 = 11 1/4
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During a football practice andre attempted 32 field goals and was successful on 75 % of them. How many successful field goals did he make ?
Answer:
24
Step-by-step explanation:
find 75% of 32
.75 x
Answer:
24 Field Goals
Step-by-step explanation:
Step 1: Convert the Percent to a Decimal
75 * 0.01 = 0.75
Step 2: Multiply
32 * 0.75 = 24
Which of the following sets of numbers could be the lengths of the sides of a triangle?
9, 4, 5
2, 3, 4
12, 11, 1
15, 9, 5
22, 14, 7
List all the factors of 19. Tell whether 19 is prime or composite.plus again 100 points
Step-by-step explanation:
19can be factorised as ,
1× 19
19 × 1
All factors= 1 and 19
since it has only two factors 1 and the number itself so it is a prime number .
Numbers which have more than 2 factors ( 1 and the number itself) are called composite numbers .
And we are done!
- Rishabh
Answer: The factors of 19 are 1 and 19. 19 is a prime number.
Step-by-step explanation:
To find the factors of 19, we need to find all the whole numbers that can be multiplied to equal 19. The factors of 19 are 1 and 19. Since 19 only has two factors, 1 and 19, it is a prime number. To confirm this, we can also check if 19 is divisible by any numbers other than 1 and itself. Since it is not, we can conclude that 19 is a prime number.