The greatest common factor of 15n^5, 30n^3, and 45n^2 is 15n^2
In this question we need to find the greatest common factor of 15n^5, 30n^3, and 45n^2.
we know that the greatest common factor of given numbers is nothing but the highest number that divides given numbers.
If we look at the variable part of given monomials, then the highest power of n that divide given monomials is n^2.
And the greatest common factor os (15, 30, 45) is 15
So, we get a monomial 15n^2
Therefore, the greatest common factor is 15n^2
Learn more about the greatest common factor here:
https://brainly.com/question/11221202
#SPJ4
- 4.5N = 135
What is N?
Answer:
n=-30
Step-by-step explanation:
-4.5n=135
n=135/-4.5
n=-30
What is the best estimate of 49.13 ÷ 0.58?
A. 80
B. 40
C. 25
D. 50
Answer:
D. 50
Step-by-step explanation:
number to 49.13
Answer:
A
Step-by-step explanation:
The length of a rectangle of fixed area varies inversely as the width. If the
length of the rectangle is 6 feet when the width is 12 feet, find the length of the
rectangle when the width is 4 feet
Answer:
the length of the
rectangle when the width is 4 feet is 8
Estimate −74.41- 55.816 by first rounding each number to the nearest whole number.
PLEASE HELP!!!
Answer: -130.
Step-by-step explanation: To round −74.41 to the nearest whole number, we look at the tens place, which is the digit 4 in the number −74.41. Since 4 is less than 5, we round down to the previous whole number, which is −74.
To round 55.816 to the nearest whole number, we look at the tens place, which is the digit 8 in the number 55.816. Since 8 is greater than or equal to 5, we round up to the next whole number, which is 56.
Now that we have rounded both numbers to the nearest whole number, we can easily subtract them to get an approximate answer:
-74 - 56 = -130
Therefore, an approximate solution to −74.41- 55.816 is -130.
100 points + brainlist if correct and well explained:
What are the vertex and range of y = |3x + 6| − 4?
(−2, −4); −∞ < y < ∞
(−2, −4); −4 ≤ y < ∞
(0, −4); −∞ < y < ∞
(0, −4); −4 ≤ y < ∞
The vertex of y = |3x + 6| − 4 is (-2, -4) and the range of y = |3x + 6| − 4 is −4 ≤ y < ∞.
What is meant by vertex?A parabola's vertex is the location at which it crosses its axis of symmetry. The vertex will be the lowest point on the graph, or the point at the base of the "U"-shape, if the coefficient of the x2 term is positive.
The point is called the vertex (h, k). As we are all aware, a parabola's conventional equation is y = ax2 + bx + c. The bottom of the U-shaped curve is where the vertex is located if the coefficient x2 is positive, and the top of the curve is where the vertex is located if it is negative.
Given,
y = |3x + 6| − 4
The vertex of y = |3x + 6| − 4 is,
We have to find the absolute values zeroes,
3x+6=0
x= -2
To find the value of y, substitute x value in the above,
y= -4
(x, y)=(-2, -4)
Therefore, the vertex of y = |3x + 6| − 4 is (-2, -4)
And now,
The range of y = |3x + 6| − 4 is,
It can be defined by f(x)≥k
k= -4
f(x)≥ -4
Therefore, the range of y = |3x + 6| − 4 is −4 ≤ y < ∞.
To know more about vertex, visit:
https://brainly.com/question/29030495
#SPJ1
Answer:
(−2, −4); −4 ≤ y < ∞
Step-by-step explanation:
What is the domain of this table?
A is the answer
Domain is all x-values and Range is y-values.
Hope this helps!!:)
Jordan is baking pumpkin cupcakes for her
family. She needs 3 4 cup of unsalted butter
and 2 3 cup of brown sugar. Will she use more
butter or brown sugar?
Answer:
3/4>2/3
Explanation:
3/4 is the same as 3*3/4*3, which equals 9/12.
2/3 is the same as 2*4/3*4, which equals 8/12.
Thus, 3/4=9/12 and 2/3=8/12.
9/12 > 8/12, and since 3/4=9/12 and 2/3=8/12, 3/4>2/3.
Hope this helps.
out of all these numbers -45 -21 -16 12 33 40 which has a difference of 29
Answer:
-45 and - 16 has a difference of 29 b/c -16-(-45)= -16 +45 = 29
who walks at a faster rate : somone who walks 60 feet in 10 seconds or someone who walks 42 feet in 6 seconds
Answer:
I think someone who walks 60 feet in 10 seconds. Let me know if I'm wrong.
Step-by-step explanation:
10/60=.16667
6/42=0.1428
Please please please help!
For AABC, AB = 6 and BC = 17. Which of the following is a possible length for AC?
Possible length of the third side of the Triangle must be between 11 and 23.
What is the Range of third side of Triangle ?As the third side of the triangle is between the sum of the sides and difference of the sides excluding both the numbers.
As triangle consist of three sides and it should must be in between two extreme values.
As by the property of Triangle
Third side should be less than sum of the sides and,
it should be greater than difference of the sides.
Sum of the sides = AB + BC = 6 + 17 = 23
Difference of the sides = 17 - 6 = 11
Then the third side will be between 11 and 23 excluding 11 and 23.
To learn more about Triangles, Visit:
https://brainly.com/question/29083884
#SPJ1
Victoria needs to order some new supplies for the restaurant where she works. The restaurant needs at least 673 glasses. There are currently 368 glasses. If each set on sale contains 10 glasses, write and solve an inequality which can be used to determine xx, the number of sets of glasses victoria could buy for the restaurant to have enough glasses.
Number of glasses Victoria need to buy for restaurant are at least 31 from the inequality given by 10x + 368 ≥ 673.
As given in the question,
Number of glasses required in the restaurant at least 673.
Number of glasses currently available in the restaurant = 368
Number of glasses in each set used to sale = 10
Let 'x' represent the number of sets of the glasses Victoria need to buy.
Required inequality is given by :
10x + 368 ≥ 673
⇒ 10x + 368 - 368 ≥ 673 - 368
⇒ 10x ≥ 305
⇒ x ≥ 30.5
Number of sets bought by Victoria = At least 31
Therefore, from the inequality 10x + 368 ≥ 673 the number of sets of glasses bought by Victoria is equal to at least 31.
Learn more about inequality here
brainly.com/question/28823603
#SPJ4
Which of these conditions might be true if polygons abcd and klmn are similar?
In the given situation, where polygons ABCD and KLMN are similar, the TRUE statement will be (A) "while the lengths of the matching sides of ABCD and KLMN are equal, ABCD's sides are only half as long as KLMN's."
What do we mean by polygons?A polygon is a closed polygonal chain made up of a finite number of straight-line segments and is a type of planar figure in geometry.
A polygon is a region that is bounded by a bounding circuit, a bounding plane, or both.
A polygonal circuit's segments are referred to as its edges or sides.
So, provided that polygons ABCD and KLMN are identical, the correct condition can be "while the lengths of the corresponding sides of ABCD and KLMN are equal, ABCD's sides are only half as long as KLMN's."
Therefore, in the given situation, where polygons ABCD and KLMN are similar, the TRUE statement will be (A) "while the lengths of the matching sides of ABCD and KLMN are equal, ABCD's sides are only half as long as KLMN's."
Know more about polygons here:
https://brainly.com/question/1592456
#SPJ4
Complete question:
Which of these conditions might be true if polygons ABCD and KLMN are similar?
A. The measures of corresponding angles of ABCD and KLMN are equal, but the lengths of the corresponding sides of ABCD are half those of KLMN.
B. The measures of corresponding angles of ABCD and KLMN are in the ratio 1 : 2, but the lengths of corresponding sides of ABCD and KLMN are not proportional.
C. The lengths of the corresponding sides of ABCD and KLMN are equal, but the measures of corresponding angles of ABCD and KLMN are not equal.
D. The lengths of the corresponding sides of ABCD and KLMN are proportional, but the measures of corresponding angles of ABCD and KLMN are not equal.
E. The measures of corresponding angles of ABCD and KLMN are not proportional, but the lengths of corresponding sides of ABCD and KLMN are proportional.
please help me thank you
Answer:
135
Step-by-step explanation:
Determine the value for j in the equation 17 over 20 equals j plus 11 over 20. 3 over 20 6 over 20 6 over 40 28 over 40
FLVS MATH MIDDLE
On solving the provided question, we get the following linear equation as the , that is j = 6/20.
What is a linear equation?A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
How do you identify a linear equation?A mathematical equation is said to be linear if it has the formula y=mx+b, where m denotes the slope and b the y-intercept.
Why is it called linear equation?An algebraic equation is said to be linear if each term has an exponent of 1, and if the equation is graphed, it always produces a straight line. This is the basis for its designation as a "linear equation."
the linear equation:
[tex]17/20 = j + 11/20\\ 17/20 - 11/20 = j + 11/20 - 11/20\\ (17 - 11)/20 = j\\ 6/20 = j[/tex]
To know more about linear equation visit:
https://brainly.com/question/11897796
#SPJ1
Find x and y.
If you could explain how you got the answers, that would be really helpful as i'm really stuck.
From the given picture of a triangle, we have come to find that variable x = 7 and y = 4
What is an isosceles triangle?
An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.
3x - 5 = y + 12 (if two angles of a triangle are equal, the sides opposite
them are also equal) ------------(1)
Also, 3x - 5 = 5y - 4 (sides of a equilateral triangle are equal)
So, 5y - 4 = y + 12
5y - y = 12 + 4
4y = 16
y = 4
Now,
Put value of y in equation (1)
3x - 5 = y + 12
3x = 4 +12 + 5
3x = 21
x = 7
Hence, x = 7 and y = 4
Learn more about isosceles triangle link below
https://brainly.com/question/29618252
#SPJ1
Choose Yes or No to tell if the fraction
3
5
will make each equation true.
7
20
+
□
=
19
20
Choose...
□
+
3
10
=
3
15
Choose...
1
2
+
2
3
=
□
Choose...
1
10
+
1
2
=
□
Choose...
Answer:
1. Yes
2. No
3. No
4. Yes
Step-by-step explanation:
To find out whether or not 3/5 will make each equation true, simply input 3/5 in the missing slots and solve to see if they equal to the value intended.
Write the equation of the line in point-slope form. (hint the y intercept is (0, -5)
show work
Provide the missing statement and reasons for the following proof:
The two column proof showing that AB ≅ CD and AD ≅ BC are congruent by CPCTC is as detailed below.
How to solve two column proof?A two-column proof is defined as a geometric proof that consists of a list of statements, and the reasons that we know those statements are true.
The two column proof that shows AB ≅ CD and AD ≅ BC is as follows;
Statement 1; Parallelogram ABCD with diagonal AC
Reason 1: Given
Statement 2; AB ║ CD and AD ║ BC
Reason 2; Definition of Parallelogram
Statement 3; ∠1 ≅ ∠2 and ∠3 ≅ ∠4
Reason 3; Definition of angle bisector
Statement 4; AC ≅ AC
Reason 4; Reflexive Property of congruence
Statement 5; ΔABC ≅ ΔCDA
Reason 5; ASA Congruency postulate
Statement 6; AB ≅ CD and AD ≅ BC
Reason 6; CPCTC
Read more about Two column proof at; https://brainly.com/question/1788884
#SPJ1
What is the slope of 3x + 4y = 12?
O 3/4
O 3
O 4
O -3/4
There are 35 questions total that will be posted in mathematics as this is Algebra I!
Whoever answers correctly and with an explanation will receive Brainliest when the option shows up on my end!
PLEASE ANSWER ASAP!!
Over a four month period the price of an ounce of gold steadily increased from
$1000 to $1400. What was the monthly multiplier? What was the monthly
percent increase?
Answer:
%10
Step-by-step explanation:
If the gold steadily increased $400 over a four-month period, we need to figure out how much the gold increased each month.
400 ÷ 4 = 100
Now that we figured out that the gold steadily increased $100 every month, we now need to figure out what percent it grew.
1000 ÷ 100 = 10
The price grew %10 every month.
State the theorem that proves the triangles are congruent. Then write a congruence statement.
Answer:
i think it is the bottom one
Step-by-step explanation:
At Jefferon High School, there are 250250 tudent who drive to chool and 375375 tudent who ride the bu to chool
The number of students who drive to school is 125.
What is number ?
A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of expressing numbers that uses digits or symbols to represent them.
At Jefferson High School, there are 250 students who drive to school and 375 students who ride the bus to school. The number of students who drive to school is
=375-250
=125
Hence, the number of students who drive to school is 125.
To learn more about number visit:https://brainly.com/question/17429689
#SPJ4
a cricket with 12 inch diameter is folded in half and folded again what is the area of the resulting shape
The area of the resulting shape if a circle with a 12-inch diameter is folded in half and then folded in half again is 28.26 square inches
What is the area of the resulting shape?Diameter of the cricket = 12 inchArea of a circle = πr²π = 3.14If a circle with a 12-inch diameter is folded into half and then folded into half again the circle will become a quadrant.
So,
The area of a quadrant is area of a circle divided by 4
Area of a quadrant = πr² / 4
Diameter of a circle = 2r
12 = 2r
divide both sides by 2
r = 6 inch
Area of the quadrant = 3.14 × (6)²/4
Area of the quadrant = (3.14 × 36) /4
Area of the quadrant = 113.04 / 4
Area of the quadrant = 28.26 square inches
In conclusion, the area of the quadrant is 28.26 square inches
Reas more on quadrant:
https://brainly.com/question/11920311
#SPJ1
The table below shows the linear relationship between
the distance in feet below sea level and the time in
seconds traveled by a submarine.
What is the rate of change low of the distance in the feet below sea level with respect to time that the box submarine traveled?
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below
[tex](\stackrel{x_1}{15}~,~\stackrel{y_1}{545})\qquad (\stackrel{x_2}{44}~,~\stackrel{y_2}{864}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{864}-\stackrel{y1}{545}}}{\underset{run} {\underset{x_2}{44}-\underset{x_1}{15}}} \implies \cfrac{ 319 }{ 29 } \implies \text{\LARGE 11}[/tex]
Hence, the slope of the line is [tex]m=11[/tex].
What is the slope of line?
The slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]can be easily determined by finding the difference between the coordinates of the points.
As we know that,
The slope has several names
(1) average rate of change
(2)rate of change
(3)delta[tex]Y[/tex] over delta[tex]X[/tex]
(4)Δ[tex]y[/tex]over Δ[tex]x[/tex]
(5)rise over run
(6)gradient
(7)constant of proportionality
So, the same cat wearing the different costumes to get the slope of the straight line, the two points are
[tex](x_1,y_1)=(15,545)\\(x_2,y_2)=(44,864)[/tex]
[tex]m=\frac{864-545}{44-15}\\\\m=\frac{319}{29}\\\\m=11[/tex]
Hence, the slope of the line is [tex]m=11[/tex].
To know more about the slope of line
https://brainly.com/question/12203383
#SPJ2
5. Find the sum of the first ten terms of each arithmetic series. (2 marks each = 4 marks)
a. 2+8+14+...
b. 45 +39 +33 +...
i dont now when i can help but this is my answer
Akbar i 9 year older than yair and hamid i 2 year younger than yair find the expreion for their um of age
When Akbar is 9 years older than Yasir and Hamid is 2 years younger than Yasir then, the expression for their sum of ages is 3x+7
What are linear equations?A linear equation is a mathematical equation that describes a straight line. It is a first-degree polynomial equation, which means that the largest exponent of the variables is 1. Since a and b are constants and x and y are variables, linear equations have the general form ax+by=c. A straight line forms on a coordinate plane when the values of x and y fulfil the expression. The connection between two variables or the price of a product are two examples of real-world events that are frequently modelled using linear equations. Solving a linear equation entails determining the values of the variables that make the equation true. Different techniques, such graphing, substitution, or elimination, can be used to accomplish this.
How to solve?
Let x be Yasir's age
Akbar is x+9
Hamid is x-2
The sum of their ages is x+(x+9)+(x-2)
=3x+7
To learn more about linear equations, visit:
https://brainly.com/question/21835898
#SPJ4
suppose that for a science project you wanted to find exactly how much the length of a shadow changes during the day. how would you make this observation?
You should cast a shadow for a person or item at least three times and measure it each time to determine how the length of the shadow varies during the day.
The shape of an object always dictates the shape of its shadow. A shadow's size and shape can alter, though.
For instance, the location of the light source can induce these variations. The length of the shadow is influenced by the sun's position in the sky on a sunny day.
We can achieve the same effect indoors by adjusting the position of a flashlight reflecting on an object.
When the sun is low on the horizon, the shadows are lengthy, and when the sun is high, the shadows are considerably shorter.
So, To determine the change of length of object during the day, one should cast a shadow at least three separate times for a person or object and measure it each time
To know more about shadow here
https://brainly.com/question/12211873
#SPJ4
Your checking account balance on May 15 is $124.25. You deposit $223.56 on May 20, write a check for $89.56, and withdraw $80.00 from an ATM on May 25. What is your current balance?
Answer: 178.25
Step-by-step explanation:
124.25 + 223.56 - 89.56 - 80.00
Answer: $178.25
Step-by-step explanation: Your balance on May 15 is $124.25. On May 20, you deposit $223.56, which increases your balance to $124.25 + $223.56 = $347.81. You then write a check for $89.56, which decreases your balance to $347.81 - $89.56 = $258.25. Finally, you withdraw $80.00 from an ATM on May 25, which decreases your balance to $258.25 - $80.00 = $178.25. Therefore, your current balance is $178.25.
John recieved a $3,000 loan. If he payed $450 in interet in 2 year. What i the imple interet rate on the loan
Using the interest rate formula, we know that the simple interest rate on the loan is 5.75%.
What is the simple interest rate?Simple interest is calculated by multiplying the principal by the time, interest rate, and time period.
"Simple Interest = Principal x Interest Rate x Time" is the written formula.
The simplest method for computing interest.
So, the interest rate on the loan is:
Formula to be used: I = p*r*t
Where I am the interest, p is the principal amount, r stand for rates and t stands for time.
I = p*r*t
3450 = 3000*2*r
3450/6000 = r
r = 0.575%
That is a 5.75% interest rate
Therefore, using the interest rate formula, we know that the simple interest rate on the loan is of 5.75%.
Know more about simple interest rates here:
https://brainly.com/question/25793394
#SPJ4
Find k so that Kx^2+12x+9 is the square of a binomial
k = 4 will make the polynomial a perfect square of a binomial.
What is perfect square binomial?A trinomial that factors into a perfect square binomial yields the square of a binomial. For instance, because it factors to (x + y)2, the trinomial x2 + 2xy + y2 is a perfect square binomial.
How perfect square formula looks like?The perfect square formula looks like:
[tex]ax^{2} +2abx+b^{2} =(ax+b)^{2} \\ax^{2} -2abx+b^{2} =(ax-b)^{2}[/tex]
Given polynomial is,
kx² +12x + 9
We have to find the value of 'k' for which the given polynomial is a square of a binomial.
To find this we will use the formula,
(a +b)² = a² +2ab + b²
kx² + 12x + 9 = kx² + 2(6x) + 3²
= kx² + 2(3)(2x) + 3²
By comparing this with the formula of (a + b)²,
b = 3
a = 2x
(2x)²+2(2x)(3) + 3² = (2x + 3)²
4x² + 12x + 9 = (2x + 3)²
Therefore, k = 4 will make the polynomial a perfect square of a binomial.
To learn more about perfect square binomial visit the link:
https://brainly.com/question/16759552
#SPJ1
k = 4 will make the polynomial a perfect square of a binomial.
What is perfect square binomial?
A trinomial that factors into a perfect square binomial yields the square of a binomial. For instance, because it factors to (x + y)2, the trinomial x2 + 2xy + y2 is a perfect square binomial.
How perfect square formula looks like?
The perfect square formula looks like:
Given polynomial is,
kx² +12x + 9
We have to find the value of 'k' for which the given polynomial is a square of a binomial.
To find this we will use the formula,
(a +b)² = a² +2ab + b²
kx² + 12x + 9 = kx² + 2(6x) + 3²
= kx² + 2(3)(2x) + 3²
By comparing this with the formula of (a + b)²,
b = 3
a = 2x
(2x)²+2(2x)(3) + 3² = (2x + 3)²
4x² + 12x + 9 = (2x + 3)²
Therefore, k = 4 will make the polynomial a perfect square of a binomial.
To learn more about perfect square binomial visit the link:
https://brainly.com/question/17105353
#SPJ1