Answers
The GCF of the number given as 45 and 27 is 9 and the factored expression is 9(5 - 3)
How to determine the GCF of the expressions?From the question, we have the following statement
The greatest common factor of 45 and 27
Rewrite the given expression as follows
This is represented using
45 and 27
Factor out 3 from the expression
So, we have the following representation
15 and 9 => Factored 3
Factor out 3 from the expression
So, we have the following representation
5 and 3 => Factored 3 * 3
So, we have
Factored = 3 * 3 = 9
This represents the GCF
So, the GCF is 9
Factor the expressionIn (a), we have
5 and 3 => Factored 3 * 3
This means that
45 - 27 = 3 * 3(5 - 3)
Evaluate the product
45 - 27 = 9(5 - 3)
Hence, the factored expression is 9(5 - 3)
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Related Questions
What is a possible solution to x ≥ −2?
Answers
Answer:
5
Step-by-step explanation:
find the limit as t approaches for the function f(t)(t)(t). question content area bottom part 1 (t)(t) enter your response here (simplify your answer.)
Answers
Limit as t approaches 0 for the function f(t) = t³ is 0.
A more detailed explanation of the answer.
Find out limit as t approaches 0 for the function f(t) = t²t.To find the limit as t approaches 0 for the given function
To find the limit as t approaches 0 for the function f(t) = t³, follow these steps:
1. Write down the function: f(t) = t³
2. Identify the point at which the limit is to be found: t approaches 0
3. Put the value of t (in this case, 0) into the function: f(0) = 0³
4. Calculate the result: 0³ = 0
So, the limit as t approaches 0 for the function f(t) = t³ is 0.
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Fatimah is x years old and nadia is 3 years older than fatmah. find expression, in it's simplest form in terms of x, for the sum of the girls ages in two years time and in y years time
Answers
The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.
How to derive an algebraic expression from a word problem
Herein we have a situation where two people have different ages, Fatimah has an age such that she is 3 years younger than Nadia. Let be x and y variables that respesent the ages of Fatimah and Nadia, respectively. In summary, the word problem can be reduced into the following algebraic expression:
y - x = 3 (Expression that represents age difference between Fatimah and Nadia)
x + 3 = y, where x, y > 0 and y > x. (1)
The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.
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The points A(-3p-3, 2p), B(-5p+1, 0) and C(0, 8p), where p is a constant are collinear. Find: the value of p
Answers
Answer:
p = 5Step-by-step explanation:
Since all points are on same line, AB and BC have same slope.
Use slope formula and compare:
m(AB) = (0 - 2p)/(-5p + 1 + 3p + 3) = -2p / (-2p + 4) = p/(p - 2)m(BC) = (8p - 0)/(0 + 5p - 1) = 8p / (5p - 1)m(AB) = m(BC)Compare and solve for p:
p/(p - 2) = 8p/(5p - 1)8(p - 2) = 5p - 18p - 16 = 5p - 18p - 5p = 16 - 13p = 15p = 5Terrance ran 5/4 of a mile in 1/4 hour. How far would Terrance run in 1 hour ?
Answers
Answer:
Terrance would run 20/4 of a mile or 5 miles
Step-by-step explanation:
The pair of points lies on the same line with the given slope. Find x.
(4,6). (x, 12); slope = 2
Answers
Answer:
x=7
Step-by-step explanation:
I got this because it is rise over run
\(\frac{rise}{run} =\frac{6}{?} =2\)
The missing number would be 3, and if you add that three to 4 you get 7. which means that the answer is...
(7,12)
Hope this helps you!!!Solve the triangle. a = 8.186 in c=6.719 in B=73.15° What is the length of side b? in ___(Round to the nearest thousandth as needed.) What is the measure of angle A? ___(Round to the nearest hundredth as needed.) What is the measure of angle C? ___ (Round to the nearest hundredth as needed.)
Answers
The length of side b is approximately 6.437 in, angle A is approximately 24.28°, and angle C is approximately 82.57°.
Given the lengths of sides a = 8.186 in and c = 6.719 in, and angle B = 73.15°, we can solve for the length of side b, as well as the measures of angles A and C.
The length of side b is approximately 6.437 in. Angle A is approximately 24.28°, and angle C is approximately 82.57°.
To solve the triangle, we can use the Law of Sines and the fact that the sum of angles in a triangle is 180°.
Using the Law of Sines, we have:
sin(A) / a = sin(B) / b
sin(A) = (sin(B) * a) / b
sin(A) = (sin(73.15°) * 8.186) / b
We can solve for side b by rearranging the equation:
b = (sin(73.15°) * 8.186) / sin(A)
Substituting the given values, we find:
b = (sin(73.15°) * 8.186) / sin(A)
b ≈ (0.9645 * 8.186) / sin(A)
b ≈ 7.897 / sin(A)
b ≈ 6.437 in (rounded to the nearest thousandth)
Next, we can find angle A:
A = 180° - B - C
A ≈ 180° - 73.15° - 82.57°
A ≈ 24.28° (rounded to the nearest hundredth)
Finally, we can find angle C using the fact that the sum of angles in a triangle is 180°:
C = 180° - A - B
C ≈ 180° - 24.28° - 73.15°
C ≈ 82.57° (rounded to the nearest hundredth)
Therefore, the length of side b is approximately 6.437 in, angle A is approximately 24.28°, and angle C is approximately 82.57°.
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How would you solve for the unknown value in the problem 3x - 7= 29?
Answers
Move the constant to the right - hand side and change its sign
3x = 29 + 7
Add the numbers
3x = 36
Divide by 3
X = 12
Answer:
add 7 to 29= 36
divide 36 by 3
answer equals 12
Step-by-step explanation:
If f(x) = -2x - 14, then f'(x) =D
Enter the correct answer.
Answers
Answer:
f⁻¹(x) = 1/2x + 7
Step-by-step explanation:
To find the inverse of a function, simply switch x and y and solve for y once more.
f(x) = -2x - 14
x = -2y - 14
x + 14 = -2y
(x + 14)/2 = f⁻¹(x)
1/2x + 7 = f⁻¹(x)
The cost of three tickets to a movie is at least $20. select an inequality that represents the cost x (in dollars) of each ticket. Then solve the inequality. write your solution in decimal form rounded to the bearest cent
Answers
Answer:
Step-by-step explanation:
Como quito el ingles
true or false: in the confidence interval, the population parameter remains constant and the interval is random.
Answers
Answer:
False
Step-by-step explanation:
In the confidence interval, the population parameter is unknown and the interval is a random variable.
I'm stuck on this question. Help please.
Answers
Step-by-step explanation:
Option A is correct...
hope this answer helps you dear!
can anyone answer these two questions? please :)
Answers
The one with color is 1,2,6
Identify the missing parts in the proof.
Given:
DB bisects ABC.
Prove: m
A:
B:
C:
D:
Answers
Answer:
Step-by-step explanation:c because I’m in college and Ik trust me
1. MONEY Gillian and Roger have lunch at a restaurant and
to determine how much tip to leave based on their bill. If their bill was
$21.87 and Gillian wants to leave a 15% tip, what is a reasonable
estimate for how much she should leave?
Answers
The total cost that Gillian will pay is $251.5
How to calculate the cost?Given that Gillian and Roger have lunch at a restaurant their bill was $21.87 and Gillian wants to leave a 15% tip
The total amount that will be paid will be:
= Total amount of food + Tip
= $21.87 + (15% × $21.87)
= $21.87 + (0.15 × $21.87)
= $21.87 + $3.28
= $25.15
The amount is $25.15.
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please help me!!!!!!!!!!!!!!
Answers
Ans
184 sq meter
Step-by-step explanation:
Area of the cuboid box = (2*FA)+(2*SA)+(2*TA)
Where FA= Front face area
SA= Side face area
TA= top face are
Here FA= length * breadth = 10*6=60 sq meter
SA= 10*2= 20 sq meter
TA= 6*2= 12 sq meter
So area of box= 2*60+2*20+2*12= 184 sq meter
Name the gigure from by joining the co-orfinatr (3,5),(2,5),(-3,2) and (2,2)
Answers
Yes, that is correct. The four points (3,5), (2,5), (-3,2), and (2,2) form a four-sided polygon or a quadrilateral. A quadrilateral is any four-sided polygon, and it can have different shapes and properties depending on the angles and sides of its vertices
The set of four points (3,5), (2,5), (-3,2), and (2,2) form a closed shape with four straight sides, known as a polygon. Specifically, this polygon has four sides and is therefore known as a quadrilateral.
Quadrilaterals can have different shapes and properties depending on the angles and sides of their vertices. In this case, the quadrilateral formed by these four points is a trapezoid.
A trapezoid is a quadrilateral with exactly one pair of parallel sides.
The parallel sides of this trapezoid are formed by the line segments connecting (3,5) and (2,5), and (-3,2) and (2,2), while the non-parallel sides are formed by the line segments connecting (3,5) and (-3,2), and (-3,2) and (2,2).
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Question
The figure formed by joining the coordinates (3,5), (2,5), (-3,2), and (2,2) is a quadrilateral.
The sum of the squares of two numbers is equal to 100. Which graph represents all the values that make this
statement true?
Answers
Answer:
D) the bigger circle
Step-by-step explanation:
ch of the following tables represents a relation that is a function? x y 3 −2 3 −1 3 0 3 2 3 2 x y −3 3 −1 3 0 3 0 −3 2 3 x y −4 −3 −3 1 −2 −4 1 1 1 −2 x y −2 0 −1 2 0 1 2 0 5 2
Answers
The table that shows a relation that represents a function is: table D in the options given.
What is a Relation that is a Function?To determine if a relation is a function, we need to check if each value of x corresponds to a unique value of y.
A. In this relation, x = 3 is paired with two different values of y (-2 and -1) which means this relation is not a function.
B. In this relation, each value of x does not corresponds to only one value of y, so this relation is not a function.
C. In this relation, -3 and 1 are paired with two different values of y (-3 and 1), which means this relation is not a function.
D. In this relation, each value of x corresponds to only one value of y, so this relation is a function.
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Converting Real Life Scale.. -Page 2-
NEED HELP ASAPPP 50 POINTS
(picture is linked belowww)
tysm like fr <33
Answers
The table with the scale measurements is given by the image shown at the end of the answer.
How to obtain the measurements?The measurements are obtained applying the proportion given for each table.
The symbols are given as follows:
': feet.'': inches.For the first table, we have that every inch on the table represents one feet in real life, hence:
2'' on the paper represents 2' in real life.2' on the paper represents 24' in real life. (as one feet = 12 inches, hence 24 inches = 24 feet according to the scale).0.5'' on the paper represents 0.5' in real life.9'' on the paper represents 9' in real life.For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:
2'' on the paper represents 4' in real life.2' on the paper represents 48' in real life.0.5'' on the paper represents 1' in real life.9'' on the paper represents 18' in real life.More can be learned about scale measurements at https://brainly.com/question/29229124
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students who failed mathematics scored the following marks 16.5,13.6,12.4,13.7 find the average mark for this students
Answers
Answer:
16.5+13.6+12.4.17.7= 60.2
60.2÷4 =15.05
Please help me?? Solve for x
Answers
This is because 180-95= 85 which would make 8x+5= 85
Subtract 5 from both sides and get 8x=80
Then, divide 8 from both sides and get x=10
Step-by-step explanation:
95+8x+5=180
100+8x=180
8x=80
X=80/8
x=10
Need help on this one
Answers
Answer:
hi I'm pretty sure its C) 2x + 48 = 180
sorry if I'm wrong
The base radius of two circular cones of the same height are in the ratio 4:6.The ratio of their volume are ?
Answers
Answer:
64 : 216
Step-by-step explanation:
Given the ratio of the heights = a : b, then
ratio of volumes = a³ : b³
Here the ratio of heights = 4 : 6 = 2 : 3 ← in simplest form, thus
ratio of volumes = 4³ : 6³ = 64 : 216 = 8 : 27 ← in simplest form
Find the value of x and y in the diagram below.
Answers
Answer:
D
Step-by-step explanation:
cos 30 = 9/x
x = 9/(\(\sqrt{3}/2\)) = 6\(\sqrt{3}\)
(6\(\sqrt{3}\))² - 9² = x²
x² = 27
x = 3\(\sqrt{3}\)
1. explain the steps to use coordinates in
calculating the perimeter and area of
polygons? explain your procedure when
working with diagonal sides and irregular
shapes on the coordinate plane. 2. explain
how the distance formula and slope formula
are used to classify various quadrilaterals and
triangles.
Answers
We need to explain the steps to use coordinates in calculating the perimeter and area of the polygon.
We need to explain the procedure when working with diagonal sides and irregular shapes on the coordinate plane.
The location of a point in the XY-plane is determined by coordinates. The vertex, which is the point where two lines of a shape meet to form a corner, is a unique place. We can determine the perimeter and area of a figure after we have the coordinates for all of its vertices.
Steps to calculate the perimeter and area of a polygon:
Step 1: Plot the given points on the graph.
Step 2: Connect the points and identify the figure.
Step 3: Determine lengths by counting the grid lines.
Step 4: Use a formula to calculate the perimeter and area if one exists.
Step 5: If there are no formulas for a figure, the perimeter can be calculated by summing the lengths of the sides. We might estimate the area without an area formula by counting the number of small squares enclosed.
Note: If you are using diagonal to calculate the area, then use the distance formula to calculate the length of the diagonal.
We need to explain how the distance formula and slope formula
are used to classify various quadrilaterals and triangles.
Distance formula: \(\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2} }\)
The length of a triangle's sides can be calculated using the distance formula. If the lengths of all three sides are equal, the triangle is said to be equilateral.An isosceles triangle is formed when the lengths of any two sides are equal.If the length of the opposite sides is equal, then the quadrilateral could be a rectangle or a parallelogram.If the length of all sides is equal, then the quadrilateral could be a square or a rhombus.Now, we use slope to find the angles i.e. If:
The product of two slopes is -1, then the lines are perpendicular and so, form right angle between them.If the slope of two lines is equal, then the lines are parallel.So, this gives us that the option 'Use the slope to check whether sides are perpendicular and form right angles' is correct.Since some quadrilaterals have the property that the diagonals are perpendicular bisectors of each otherUse the distance formula to measure the lengths of the sides.Use the slope to check whether the sides are perpendicular and form right angles.Use the slope to check whether the diagonals are perpendicular to eachTo learn more about coordinate geometry visit:
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KONG
The population of Kingsfield grew from 5,400 people to
7,200 people in one year. During the same time, the
population of Queensville dropped from 24,000 people to
19,600 people. If these rates continue, how many years
before the two towns have the same population?
Answers
Answer:
The population of a town grew from 20,000 to 28,000. The continuous growth rate is 15%. The equation represents the situation, where t is the number of years the population has been growing. About how many years has the population of the town been growing? Use a calculator and round your answer to the nearest whole number.
I found some info on a Quiz maybe this can help a bit
Have a Nice Day!
Sa
Expo Milano 2015 was visited by 22.2 million people. It is expected that Expo 2020 Dubai will
be visited by 25 million people. Find the percent of change.
Answers
Answer:
12.6% is the percent of change.
Step-by-step explanation:
As Expo Milano 2015 was visited by 22.2 million people.
And it is expected that Expo 2020 Dubai will be visited by 25 million people.
so
25 - 22.2 = 2.8 million people
so dividing the 2.8 by 22.2 would give us the percentage of increase.
2.8/22.2 = 0.126 which is = 12.6%
Therefore, 12,6% is the percent of change.
Suppose you borrowed $45,000 at a rate of 8.5% and must repay it in 5 equal installments at the end of each of the next 5 years. By how much would you reduce the amount you owe in the first year? Select the correct answer. a. $7,594.46 b. $7,600.46 c. $7,618.46 d. $7,612.46 e. $7,606.46
Answers
The correct answer is option a. $7,594.46.
To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:
Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate
In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.
Let's calculate the amount you would reduce the amount you owe in the first year:
Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825
Installment = $12,825
Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.
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Suppose the radius of a cylinder changes, but its volume stays the same. How must the height of the cylinder change?
h
The height does not change.
If the radius increases, then the height must increase
9
If the ladus decreases, then the height must decrease
Answers
If the volume of a cylinder stays the same while the radius changes, the height of the cylinder must change inversely with the radius.
We have,
If the volume of a cylinder stays the same while the radius changes, the height of the cylinder must change inversely with the radius.
This means,
If the radius increases, the height must decrease to compensate and keep the volume constant.
If the radius decreases, the height must increase to compensate and maintain the same volume.
This relationship is due to the formula for the volume of a cylinder, which involves both the radius and the height.
By adjusting one variable (radius) while keeping the volume constant, the other variable (height) must change accordingly to maintain the balance.
Thus,
If the volume of a cylinder stays the same while the radius changes, the height of the cylinder must change inversely with the radius.
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