Answer:Find the equation of a line.whose slope is 4 and which passes through the point (5, - 7) Class 11. >> Applied Mathematics. >> Straight lines. >> Various forms of the equation of a line. >> Find the equation of a line.whose slope. Question. Find the equation of a line.
Step-by-step explanation:
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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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?
As part of a weight reduction program, a man designs a monthly exercise program consisting of bicycling, jogging, and swimming. He would like to exercise at most 30 hours, devote at most 7 hours to swimming, and jog for no more than the total number of hours bicycling and swimming. The calories burned by this person per hour by bicycling, jogging, and swimming are 200,415 , and 295 respectively. How many hours should be allotted to each activity to maximize the number of calories burned? What is the maximum number of calories he will burn?
Answer:
Jogging = 10 hours
Swimming = 7 hours
Cycling = 3 hours
A bag contains 31 red blocks, 46 green blocks, 22 yellow blocks, and 26 purple blocks. You pick one block from the bag at random. Find the indicated theoretical probability.
The theoretical probability for each event is given below.
What is a probability? Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates complete certainty.Given is that a bag contains 31 red blocks, 46 green blocks, 22 yellow blocks, and 26 purple blocks.
Total number of blocks = n{T} = 31 + 46 + 22 + 26 = 125
Probability that a red block is selected is : 31/125Probability that a green block is selected is : 46/125Probability that a yellow block is selected is : 22/125Probability that a purple block is selected is : 26/125Therefore, the theoretical probability for each event is given above.
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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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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
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:
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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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.
look at the pic for the problem lol
Answer:jrifigjitgjtigjijijiij
Step-by-step explanation:
jjfijjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
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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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
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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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
On Wednesday evening Sonto spent hour doing homework, 45 minutes doing housework, 1 hour visiting friends and 1 hours watching television. Write this information as a ratio.
Answer:
hablas espanol para ayudarte
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!
The points (2, 5) and (–3, 5) fall on a particular line. What is its equation in slope-intercept form?
Equation in slope-intercept form is y=5.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Slope of line passing through points (2, 5) and (–3, 5)
m=5-5/-3-2=0
So the slope is 0
Y intercept is 5=0(2)+b
b=5
Hence, equation in slope-intercept form is y=5.
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Rewrite the following equation in slope-intercept form.
19x − 3y = –9
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
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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8. During the first year, the average depreciation for new cars is around 30 to 40 per cent, according to an article in the Globe and Mail. What is the depreciation range for the following 2021 models in their first year? • 2021 RAV 4 LE FWD at $28,590 • 2021 BMW Coupe 2-series at $45,500
The depreciation range ( Depreciated price) for 2021 RAV 4 LE FWD at $28,590 will be $17154-$20013 and for 2021 BMW Coupe 2-series at $45,500 will be $27300-$31850.
What is depreciation?
Almost everything we see around us has a useful life because it is being used up little by little every day or will become outdated as technology changes. Think about the computer you are using. You probably expect it to last only about five years because every time you access it, the components inside it get used up a little bit, and improved technology will eventually make it obsolete. This 'using up' is called depreciation, and that five years is considered the computer's useful life.
Now,
As given that average depreciation for cars is between 30% and 40%
that means their depreciated price will be between 60% and 70%.
Hence,
For 2021 RAV 4 LE FWD at $28,590
Depreciation range will be 60/100*28590 to 70/100*28590
i.e. $17154-$20013
For 2021 BMW Coupe 2-series at $45,500
Depreciation range will be 60/100*45500 to 70/100*45500
i.e. $27300-$31850
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PLEASE HELP I'M DESPERATE
Answer the question below.
Solve the equation -22 = q + 7(2q - 1)
and verify the solution. Show all work.
The solution of the equation -22 = q + 7(2q - 1) is as follows:
q = -1How to solve equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Let's solve the equations as follows:
-22 = q + 7(2q - 1)
The variable in the equation is q. A variable is an letter use to represent number in an equation.
-22 = q + 7(2q - 1)
-22 = q + 14q - 7
-22 = 15q - 7
add 7 to both sides of the equation
-22 + 7 = 15q - 7 + 7
-15 = 15q
divide both sides by 15
q = -15 / 15
q = -1
Therefore,
q = -1
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Answer:
-22 = q + 7(2q - 1)
-22 = q + 14q - 7
-22 = 15q - 7
add 7 to both sides of the equation
-22 + 7 = 15q - 7 + 7
-15 = 15q
divide both sides by 15
q = -15 / 15
q = -1
Step-by-step explanation:
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
________________________________
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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If b = -2, what is 3b-7 ?
A=8 and b=24
What is (a+b) squared
The value of the expression (a + b)² at a = 8 and b = 24 will be 1,024.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ (a + b)²
The value of the expression at a = 8 and b = 24 will be calculated as,
⇒ (8 + 24)²
⇒ (32)²
⇒ 1,024
The value of the expression is 1,024.
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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:
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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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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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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