The proportion that is solved correct using cross products is given as follows:
4/6 = 12/18 = 4x18 = 6x12
How to solve a proportion applying cross product?A proportion represents a fraction of a total amount, hence it is written as follows:
p = x/y.
In which the terms are given as follows:
x is the numerator of the fraction.y is the denominator of the fraction.For cross products, we have two proportions that are equal, hence the numerator of the first fraction multiplies the denominator of the second fraction, while the denominator of the first fraction multiples the numerator of the second fraction.
The proportion in this problem is given as follows:
4/6 = 12/18.
Hence the cross product is applied as follows:
4 x 18 = 6 x 12
72 = 72 (which is a true statement).
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maz changes 30 dollars back into pounds how many pounds will he get
Answer:
24.90 pound
1 dollar equivalent to 0.8301 pound
so 30 dollar will be 30 multiply by 0.8301
which equals 24.903 pounds
What is the coefficient in this expression?
12 - x + 3
The coefficient is -1
the sides of a triangle are 7,10,12 cm long. Classify the triangle
Answer:340 cm long
Step-by-step explanation: multiply 7 x 10 then 70 x 12
1) (0,-3) (-2,-4) find the slope
Therefore , the solution of the given problem of slope comes out to be
M = 1/2.
What is a slope?What determines a line's steepness is its slope. Gradient overflow is a mathematical expression for the gradient. The slant is the proportion of both the vertical difference (rise) over the distance between two locations to the lateral change (run) over the same distance. Hill form of an equation is used to express a straight line's equation, which is written as y = mx + b. A point on the line where the slope is m, b equals a, and the y-intercept is placed is (0, b). An illustration would be the slope and y-intercept of the formula y = 3x - 7 (0, 7). At the location of the y-intercept, the line has a slope of m, b, and c.
Here,
Given : (0,-3) and (-2,-4)
Thus,
To calculate the slope ,
We use formula:
=> M = y2 -y1 /x2-x1
=> M = -4 -(-3) / -2 - 0
=> M = -1 /-2
=> M = 1/2
Therefore , the solution of the given problem of slope comes out to be
M = 1/2.
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The sum of the measures of the interior angles of a polygon is 5 times the sum of the measures of the exterior angles. How many sides does the polygon have
Answer:
polygon has 12 sides
Step-by-step explanation:
the sum of the exterior angles of a polygon is 360°
the sum of the interior angles of a polygon is
sum = 180° (n - 2 ) ← n is the number of sides
given the sum of the interior angles is 5 times sum of exterior angles, then
sum = 5 × 360° = 1800° then
180° (n - 2) = 1800 ( divide both sides by 180 )
n - 2 = 10 ( add 2 to both sides )
n = 12
Thus the polygon has 12 sides
What are the 4 quadrants called?
The 4 quadrants are called as Quadrant I, Quadrant II, Quadrant III and Quadrant IV.
The term quadrant in math is also known as the coordinate grid, cartesian coordinate system, or Cartesian plane, are basically constructed by taking a vertical axis, or the y-axis and setting it against a horizontal axis, or the x-axis and it creates a grid with four quadrants.
According to the cartesian system, here the coordinate plane is divided into four equal parts by the intersection of the x-axis and the y-axis such as the vertical number line.
Here the four quadrants are written as,
Quadrant I that is placed upon the upper right quadrant is the first quadrant, denoted as Quadrant I and the value on the x-axis and the y-axis both have positive numbers.
Next one is Quadrant II which is placed on the upper left quadrant is the second quadrant, denoted as Quadrant II and the value of the x-axis has negative numbers and the y-axis has positive numbers.
Third one is Quadrant III placed on the bottom left quadrant is the third quadrant, denoted as Quadrant III and the value of both the x-axis and the y-axis have negative numbers.
Final one is Quadrant IV which is placed on the bottom right quadrant is the fourth quadrant, denoted as Quadrant IV and here the value of the x-axis has positive numbers and the y-axis has negative numbers.
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5. The population of Haleyville, Alabama was 4,403 in 2010. Haleyville has been experiencing a population decline of 0.6% per year since 2000. What will be the projected population of Haleyville in 2020?
The projected population of Haleyville in 2020 is 4139.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Population in 2010 = 4403
The decline in population per year = 0.06%
Now,
The population in 2020.
There are 10 years between 2010 and 2020.
The function used to find the population after x years.
= 4403 x [tex]0.994^x[/tex]
Now,
x = 10
= 4403 x [tex]0.994^{10}[/tex]
= 4403 x 0.94
= 4139
Thus,
The population in 2020 is 4139.
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Tickets for all of the described charity raffle games cost $2 per game. James wants to choose three raffles that will give him the best chance of winning. Identify the games that james should play and the games he shouldn’t.
Answer:
C,A, and F
Step-by-step explanation:
the ones that basically give him a chance is the very first one on the left side and the 3rd one down on the left side and the 2nd column the 2nd one hope this helps
Determine whether the graph of the given equations are parallel, perpendicular, or neither
Answer:
7) perpendicular
8) perpendicular
Step-by-step explanation:
If the equations are in the form:
y = mx + b
(they all are in this form in these questions)
the m, the number in front of the x, is the slope.
If the slopes are the "negative reciprocals" (opposite signs and flipped over from each other) of each other, then the lines are perpendicular.
You can also do a quick check by, if the m values are multiplied together you should get -1.
1/3 • - 3 = -1
1 • -1 = -1
1/3 and -3 have opposite signs and are reciprocals (flipped over)
1 and -1 are opposite signs. It isn't very obvious maybe that they are reciprocals, but they are. Like 1/1 flipped over is 1/1.
Audrey's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=59+6xy=59+6x, where yy represents the expected quiz score and xx represents hours spent on homework that week. What could the number 59 represent in the equation?
A student's expected quiz score if they spent no time on their homework.
A student's expected quiz score if they spent 65 hours on their homework.
The change in expected quiz score for every additional one hour students spend on their homework.
How many hours a student spends studying all year
The number 59 in the equation represents the following:
"A student's expected quiz score if they spent no time on their homework"
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
y=59+6x
When x=0, y=59+6*0 = 59+0 = 59
This means, y=59 is the student's expected quiz score if they spent no time on their homework.
The number 59 in the equation represents the following:
"A student's expected quiz score if they spent no time on their homework"
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Is x 3 a factor of the polynomial x^3 3x^2 4x 12?
(x - 3) is a factor of the polynomial f(x) = x³ - 3x² + 4x - 12 since f(3) = 0.
To solve the problem, recall the factor theorem.
Factor Theorem states that if we have a polynomial f(x) and if (x - a) is a factor of f(x), then f(a) = 0
The given function is:
f(x) = x³ - 3x² + 4x - 12
To see whether x - 3 is a factor of f(x) = x³ - 3x² + 4x - 12, we need to find f(3).
Substitute x = 3 into f(x):
f(3) =3³ - 3(3)² + 4(3) - 12
f(3) = 27 - 27 + 12 - 12
f(3) = 0
Since f(3) = 0, then x -3 is a factor of x³ - 3x² + 4x - 12
Your question is incomplete, but most probably your question was:
Is x - 3 a factor of the polynomial x³ - 3x² + 4x - 12?
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Factorise fully the following:
a) x² + x
b) 3x-9x²
c) 7x³ - 35x
d) 4x³ + 24x²
The correct factorization are as follows:
(a) x² + x = x(x + 1)
(b) 3x-9x² = 3x(1 - 3x)
(c) 7x³ - 35x = 7x(x^2 - 5)
(d) 4x³ + 24x² = 4x^2(x + 6)
What do you mean by "factorization"?
The most crucial step in factorization is to identify the terms points of commonality. Divide each term by the common factor between them, then multiply the result by the entire expression to maintain the value.
One of the key techniques for reducing an algebraic or quadratic equation to a simple form is factorization. Thus, one should be familiar with factorisation formulas in order to simplify the complex problem.
Additionally, you can always multiply your response to see if you end up with the same result as your starting point.
Step by step solution:
(a): x² + x, [Here both terms have 'x' in common]
=x( (x²/x) + (x/x) )
= x(x+1)
(b): 3x - 9x², [Here both terms have '3x' in common]
=3x( (3x/3x) - (9x²/3x) )
= 3x(1-3x)
(c): 7x³ - 35x, [here both terms have '7x' in common]
=7x( (7x³/7x) - (35x/7x) )
= 7x(x²-5)
(d): 4x³+ 24x² [here both terms have 4x² in common]
=4x²( (4x³/4x²) + (24x²/4x²) )
= 4x²(x+6)
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What is an example of a similarity transformation geometry?
We refer to the enlargement or reduction of one of two figures as a similarity transformation. For example: When one of two figures can be produced from the other and the ratio of their corresponding sides is equal, we say that the two figures are comparable. Similar figures come in a variety of sizes and shapes.
Either a geometric similarity or a matrix transformation that produces a likeness are referred to as "similarity transformations" in this context. Space items are changed into comparable things by similarity transformations. Fractals and iterated function systems are based on essential principles such as similarity transformations and the idea of self-similarity.
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What is the numerical coefficient of the term − 6xy?
The numerical coefficient of xy in the given expression 6xy is 6.
In mathematical terms, a coefficient is a numerical value that is multiplied by a variable in an algebraic expression. The coefficient is the number that appears in front of the variable.
For example, in the expression 3x, the coefficient is 3. In the expression 2[tex]y^2[/tex], the coefficient is 2. In the expression -5[tex]z^3[/tex], the coefficient is -5.
In the case of a constant term in an expression, the coefficient is the constant term itself.
For example, in the expression 3x + 4, the coefficient of x is 3 and the coefficient of the constant term 4 is 4.
Here, in the expression 6xy, the numerical coefficient of xy is 6.
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Jupiter is about 5. 2 Astronomical Units (AU) from the Sun. Neptune is about 30. 1 AU from the sun. How many times as far from the Sun is Neptune as Jupiter? First answer gets brainliest
If Jupiter is about 5.2 Astronomical Units (AU) from the Sun and Neptune is about 30.1 AU from the Sun, Neptune is about 5.79 times far from the Sun as Jupiter.
Therefore the answer is 5.79.
To find how many times as far from the Sun Neptune is as Jupiter, we need to divide the distance from the Sun to Neptune by the distance from the Sun to Jupiter.
Neptune is about 30.1 AU from the Sun and Jupiter is about 5.2 AU from the Sun, so:
= Distance from the Sun to Neptune / Distance from the Sun to Jupiter
= 30.1 / 5.2
= 5.79
So, Neptune is about 5.78 times as far from the Sun as Jupiter.
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If the radius of a circle is x cm, what is the measure of its circumference? write.
Answer:
2 pie over r
Step-by-step explanation:
Step-by-step explanation:
the circumference is given by:
[tex]2\pi(radius)[/tex]
in this case x is the radius hence the circumference would be:
[tex]2\pi(x)[/tex]
hope this helps :)
The table shows the heights y (in centimeters) of a plant after x weeks. Use the table to complete the statements.
x 0
4
8
y 17 29 41
' I did he heard diamster of 76 ice. Whidh meekureman it dosef to the draunference of the
Since the diameter of this circle is 76 inches, a measurement which the circumference of this circle has include the following: C. 238.64 inches.
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr or C = πD
Where:
C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.Substituting the given parameters into the circumference of a circle formula, we have;
Circumference of circle, C = πD
Circumference of circle, C = 3.14 × 76
Circumference of circle, C = 238.64 inches.
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Complete Question:
The diameter of a circle is 76 inches. Which measurement does the circumference of this circle have?
A. 123.45 inches.
B. 438.65 inches.
C. 238.64 inches.
D. 338.64 inches.
Use the graph of the equation to answer the question.
What is the domain of the equation?
What is the range of the equation?
As per the graph, there is no restrictions for the domain but the range has a minimum value at y = - 4.
The domain is any real number:
x ∈ ( - ∞, + ∞)The range is any real number not less than - 4:
y ∈ [ - 4, + ∞)The cost of an online newspaper is 7. 99 per month. If you buy a one year subscription the cost is 89. 88. How much do you pay each month if you choose the one year subscription
If we chosen the one year subscription we have to pay 7.49 per each month.
What is Linear Equation ?
Linear Equation can be defined as the equation in which the highest degree of the variable is one.
Given,
The cost of an online newspaper is 7.99
And if we bought the one year subscription the cost is 89.88
Let the the cost of the each month if we bought the one year subscription be x .
for one year the cost is 89.88
for one month could be
that is, x = 89.88/12
x = 7.49
Hence , If we chosen the one year subscription we have to pay 7.49 per each month.
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How much money should be put into a savings account now that earns 6.0% a year compounded weekly if you want to have 70000 in 15 years?
If you want to have $70,000 in 15 years, you need start saving money now in a savings account that earns 6.0% annually compounded weekly.
How does compound interest work?When you earn interest on your interest earnings as well as the money you have saved, this is known as compound interest.Compounding is effective for both promised and unguaranteed products. All or part of your money could be lost.
Use the compound interest formula and enter the figures you are familiar with. Then find a solution for the unknown number.
A = P(1 +r/n)^(nt)
where A represents the balance of the account, P represents the amount invested, r represents the yearly rate, n represents the number of times per year interest is compounded, and t is the number of years.
Filling in the given values, we have ...
70000 = P( 1 + 0.06/52)^(52*15) = P(2.4583)
P = 70000/2.4583 = 28474.96
You would need to deposit 28474.96 in order to have 70000 in 15 years.
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Mrs. Hubble was paid a total of $1,677 to make some custom dresses. She was paid $129. To make each one. The equation 1,677= 129d represents this situation where d equals the number of dresses she made. What is the value of d in the equation?
The value of d in the equation is 13 and it is equal to the number of dresses made by her.
The total amount paid by Mr. Hubble to make some custom dresses is 1677 dollars.
The price paid to make one dress is 129 dollars.
The equation that represents this situation is given to be 1677 = 129d
Where d is the number of dresses made,
Now, using simple algebra,
1677 = 129d
d = 1677/129
d = 13
So, she has made a total number of dress she made is 13 and the value of d is the equation is also 13.
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Why do the Iroquois perform rituals?
The Iroquois perform rituals in "The World on Turtle's Back" to honour the twins, demonstrating their belief that they must carry out specific rituals in order to preserve the Earth.
What is rituals?A ritual is a set sequence of actions involving gestures, words, actions, or objects. The customs of a group, including a religious group, may dictate rituals. Formalism, traditionalism, invariance, rule-governance, sacral symbolism, and performance are characteristics of rituals but not what defines them.
All known human societies have rituals. In addition to the rites of passage, atonement, and purification, oaths of allegiance, dedication ceremonies, coronations, presidential inaugurations, marriages, funerals, and other ceremonies, they also include the worship rites and sacraments of organised religions and cults. Even routine behaviours like shaking hands and saying "hello" can be categorised as rituals.
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Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years
If Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years then he has to pay 3009.6 back.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years.
A=P(1+rt)
Where, A is final amount, P is principal amount, r is rate of interest, t is time period.
P=3000, r=0.16%=0.16/100=0.0016, t=2
A=3000(1+(0.0016)2)
=3000(1+0.0032)
=3000(1.0032)
=3009.6
Hence, Canon needs to pay back 3009.6
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PLEASEE HELP PICTURE ATTACHED
if m/P = (12x + 7);, m Q = (6x - 7), and LP
and /Q are complementary angles, find m /Q.
On solving the provided question, we can say that - the valuye os the complementary angle is 83.0000000004.
what is complementary angles?When two angles add up to 90 degrees, they are said to be complimentary. When two angles add up to 180 degrees, they are said to be subservient. . When the sum of two angles equals 90 degrees, they are called complementary angles. For example, 30 and 60 degrees are supplementary angles. A supplementary angle is two angles that add up to 180 degrees, and a supplementary angle is two angles that add up to 90 degrees. of 30 and 60 degrees are supplementary. A supplementary angle is two angles combined to make a 180 degree angle, while a supplemental angle is two angles combined to make a 90 degree angle. Two angles are referred to as complimentary if their total is 90 degrees. Alternatively said, a right angle is created by the complementary angles (90 degrees).
here we have
(12x + 7) = 90
12x = 83
x= 6.9166666667
12x = 83.0000000004
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PLEASE HELP ME WITH PROBLEM C
1) The Magnolia trees purchased for planting at the school are 3 feet tall. Research shows that these types of trees grow at an average rate of 3/4 feet per year.
a) Write an equation in Slope-Intercept form to represent the growth of the trees over time. Let x represent the number of years and let y represent the height (in ft.) of the tree.
Y=3/4x+3
b) What does the y-intercept represent in your equation
Y=3. 3 stands for feet tall
c) Determine the height of the tree in 3 years.
a) To write an equation in slope-intercept form to represent the growth of the Magnolia trees over time, we can use the formula y = mx + b, where x represents the number of years, y represents the height of the tree in feet, m represents the slope (or rate of growth) of the tree, and b represents the y-intercept (or the height of the tree at x = 0).
In this case, the slope (m) of the tree is 3/4 feet per year and the y-intercept (b) is 3 feet, as the trees are initially 3 feet tall when they are purchased. Plugging these values into the formula gives us:
y = (3/4)x + 3
This equation represents the growth of the Magnolia trees over time.
b) The y-intercept of an equation in slope-intercept form represents the value of y when x is equal to 0. In this case, the y-intercept of the equation y = (3/4)x + 3 is 3 feet. This means that when x is equal to 0 (when no years have passed), the height of the tree is 3 feet.
c) To determine the height of the tree in 3 years, we can substitute 3 for x in the equation y = (3/4)x + 3 and solve for y. This gives us:
y = (3/4)(3) + 3
= 9/4 + 3
= 21/4
= 5.25 feet
Therefore, the height of the tree in 3 years is approximately 5.25 feet.
A neighbor of yours is getting ready to
plant a garden of flowers in his backyard.
He asks you for ideas on how to
conserve soil. You notice that his
backyard has a lot of hills. What do you
suggest?
In order to maintain soil fertility and productivity, soil must be protected from erosion and other forms of deterioration. Water use and watershed management are typically included.
What comes first in gardening?Eliminating the existing vegetation is the first step in making a garden bed. Weeds can be manually pulled. Just be certain to remove the roots to prevent regrowth. You might want to rent a gas-powered sod cutter to get rid of the grass if you're starting with a lawn.
What is an example of soil conservation?Better soil conservation techniques that affect both erosion and fertility include crop rotation, cover crops, conservation tillage, and installed windbreaks.
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Marius buys computers for £915.00 each and sells them for £2081.00 each. What is his total profit on the sale of 13 computers?
Answer:
£15158.00
Step-by-step explanation:
The profit on the sale of 1 computer is the difference between the selling price and the buying price.
Profit on 1 computer:
£2081.00 - £915.00 = £1166.00
The profit on 13 computers is 13 times the profit on 1 computer.
13 × £1166.00 = £15158.00
Answer: £15158.00
As n ranges over the positive integers, what is the maximum possible value for the greatest common divisor of 11n 3 and 2n 1
The maximum possible value for the greatest common divisor (GCD) of 11n + 3 and 2n + 1 as n ranges over the positive integers is 1.
The GCD of two integers is the largest integer that divides both integers without leaving a remainder. We can use the Euclidean algorithm to find the GCD of two numbers.
The Euclidean algorithm states that for two integers a and b, we can find the GCD of a and b by repeatedly applying the following steps:
Divide a by b to get a quotient q and a remainder r
Replace a with b and b with r
Repeat the process until r is 0
If we apply this algorithm to 11n + 3 and 2n + 1, we get the following:
GCD(11n+3, 2n+1)
As 11n + 3 = 3(2n + 1) + 5n
= GCD(2n+1, 5n )
As 2n + 1 = (2/5)(5n) + 1
= GCD(5n, 1)
= GCD(1, 0)
= 1
So as n ranges over the positive integers, the maximum possible value for the GCD of 11n + 3 and 2n + 1 is 1.
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Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating. 15% tip on a bill of $706.03 The amount of the tip is approximately
Answer: To estimate the tip, you can first round the bill to the nearest ten dollars. In this case, $706.03 rounded to the nearest ten dollars is $710.
Next, you can calculate the tip by multiplying the rounded bill amount by the tip percentage, 15% in this case.
15% of $710 is 15/100 * 710 = 106.50
So the amount of the tip is approximately 106.50
It's worth mentioning that this method of approximation is not always precise, but it can be a quick and easy way to calculate an estimate when you don't need a very precise answer.
Step-by-step explanation: