Answer:
The way I would best say is listing all the multiples then circle all the ones that are alike then find the lowest one they all have.
Example
Find the common multiples of 12,15,20
Multiples of 12:12, 24, 36, 48, 60, 72, 84, 96, 120……….
Multiples of 15:15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405,……..
Multiples of 20:20, 40, 60, 80, 100, 120, 140, 160, 180, and 200.
Step-by-step explanation:
They all have 60 so your lcm is 60
4.) Answer the following problems based on the triangle below:
Find X
Find the measure of angle b
Find the measure of angle c
The value of the angles in the triangle is as follows:
x = 3∠B = 70°∠C = 50°How to angle in a triangle?The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Therefore,
120 = ∠B + ∠C
∠B = 22x + 4
∠C = 15x + 5
120 = 22x + 4 + 15x + 5
120 = 22x + 15x + 4 + 5
120 - 9 = 37x
111 = 37x
divide both sides by 37
111 / 37 = x
x = 3
∠B = 22(3) + 4 = 66 + 4 = 70°
∠C = 15(3) + 5 = 45 + 5 = 50°
learn more on exterior angle theorem of triangle here: https://brainly.com/question/956912
#SPJ1
Answer:
x = 3
b = 70
c = 50
Step-by-step explanation:
Find X:
= 3
(22x + 4) + (15x + 5) = 120
22x + 15x = 37
4 + 5 = 9
+9 -9= 0
120 - 9 = 111
111 / 37x = x = 3
Find the measure of angle B:
70
22x + 4
22(3) + 4
22 multiplied by 3 = 66
66 + 4 = 70
Find the measure of angle C:
50
15x + 5
15 (3) + 5
15 times 3 = 45
45 + 5 = 50
Whole worksheet is in the PDF :)
John painted his most famous work, in his country, in 1930 on composition board with perimeter 108.56 in. If the rectangular painting is 5.97 in. taller
than it is wide, find the dimensions of the painting.
What is the width?
(Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.)
The width of the rectangular painting painted by John is 24.15 inch.
What is referred as the rectangle?A rectangle is a quadrilateral with parallel sides that are equal to one another and all four vertices that are equal to 90 degrees. As a result, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal as well as parallel, it is also known as a parallelogram.For, the given question;
The perimeter of the rectangular painting painted by the John is 108.56 in.
The formula for the perimeter of the rectangle is;
Perimeter = 2(length + width)
Thus,
2(length + width) = 108.56
The rectangular painting is 5.97 in. taller than it is wide.
It means;
Length = 5.97 + width
Put the value in perimeter.
2(5.97 + width + width) = 108.56
11.94 + 4 width = 108.56
width = 24.155
width = 24.155 (decimal rounded to two decimal places)
Therefore, the width of the painting is 24.15 inch.
To know more about the rectangle, here
https://brainly.com/question/25292087
#SPJ9
Evaluate (f/g)(x) if f(x) = 2x^2 and g(x) = 3x – 2 when x = 2.
The value of the function (f/g)(x) when x=2 is 2
Function:
The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.
⇒(f/g)(x)=[tex]\frac{f(x)}{g(x)}[/tex]
⇒(f/g)(2)=[tex]\frac{f(2)}{g(2)}[/tex]
Given f(x)=2[tex]x^{2}[/tex] and g(x)=3x-2
⇒(f/g)(2)=[tex]\frac{f(2)}{g(2)}[/tex]
⇒(f/g)(2)=[tex]\frac{2(2)^{2} }{3(2)-2}[/tex]
⇒(f/g)(2)=[tex]\frac{8}{4}[/tex]
⇒(f/g)(2)=2.
Therefore,The value of the function (f/g)(x) when x=2 is 2
Learn more about function here:
https://brainly.com/question/12431044
#SPJ9
Using the variable x, write the interval [2,6] using set-builder notation.
Writing the interval [2,6] using set-builder notation, is:
{ x | x ∈ R, 2 ≤ x ≤ 6 }
How to write an interval in set builder notation?Real numbers (R) include all rational and irrational numbers.
Thus If we need to write the interval [2,6] using set-builder notation, we will write as:
{ x | x ∈ R, 2 ≤ x ≤ 6 }
This is interpreted as x belongs to a set of real numbers greater than or equal to 2 but less than or equal to 6
Read more about Set builder notation at; https://brainly.com/question/24438069
#SPJ1
Which graph represents this equation
y=&=x+5)
Consider the equation,
y = x + 5
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.
In equation y = x + 5, the graph y = x is shifted 5 units towards the negative x-axis.
To graph the equation we determine various points on the line.
When x = 0,
y = x + 5
y = 5
When y = 0,
y = x + 5
0 = x + 5
x = - 5
When x = - 1,
y = x + 5
y = - 1 + 5
y = 4
When x = - 2,
y = x + 5
y = - 2 + 5
y = 3
When x = - 3,
y = x + 5
y = - 3 + 5
y = 2
Therefore, the points on the line y = x + 5 are ( 0, 5), (- 5, 0), ( - 3, 2), ( -1, 4) and ( - 2, 3).
Stan and Hilda can mow the lawn in 25 min if they work together. If Hilda works twice as fast as Stan, how long would it take Stan to mow the lawn alone?
A parking lot has two types of parking spaces. Some parking spaces are rectangles and other spaces are parallelograms that are not rectangles. Plans for the parking spaces are drawn on grid paper. a. Which parking space covers the greater area, space A or space B? Show your work.
Parking space B covers a greater area.
Here, we are given a parking lot has two types of parking spaces- rectangles and parallelograms, as shown in the figure.
Let us calculate the area of each figure one by one-
Area of rectangle = length × breadth
Here, length = 6 units
breadth = 3 units
Thus, area of rectangle = 6 × 3
= 18 square units
Now, area of a parallelogram = base × height
here, base = 4 units
height = 5 units
Area = 4 × 5
= 20 square units
⇒ the area of the parallelogram is greater than the rectangle
Thus, parking space B covers a greater area.
Learn more about area here-
https://brainly.com/question/25292087
#SPJ9
Your question was incomplete. Check for the missing figure below.
9x - 13 =32 what is x
Answer:
Hi!
[tex]x=5[/tex]
Step-by-step explanation:
[tex]9x-13+13=32+13\\9x=45\\\frac{9x}{9}=\frac{45}{9}\\=5[/tex]
Answer:
the answer is 5
Step-by-step explanation:
9 x 5 -13= 32
Help meeeeeeeeeeeeeee pleaseeeeeee!
Answer:
A. d ≥ -2 3/10
Step-by-step explanation:
-5d + 5 1/2 ≤ 17
-5d + 11/2 ≤ 17
-5d ≤ 17 - 11/2
2(-5d) ≤ 2 × 17 - 2 × 11/2
2(-5d) ≤ 2 × 17 - 11
-10d ≤ 2 × 17 × 11
-10d ≤ 34 - 11
-10d ≤ 23
d ≥ -2 3/10
So A is the answer
Is 1 an unequal number?
The number 1 is an unequal number because no whole number can make 1 for example, 2 + 2 does not make 1 but 4. In addition, only decimals can make 1 such as 0.5 + 0.5 = 1. So the number 1 is unequal to whole numbers but not decimals.
Answer:
Yes. The following number are uneven 1,3,5,7,9,ect..
And the following are even numbers 2,4,6,8,10,ect....
Step-by-step explanation:
Hope it helps!! =D
Obtain the truth value of
If 5+6=11,then11-6=5
The truth value of 5+6 = 11, then 11-6=5 is "T"
A truth table is a powerful concept that creates a truth table of its component statements. Unary logical operations, on the other hand, are operations involving only one logical variable. A logical implication normally produces a value of false if the first input is true and the second input is either false or true separately. It is associated with the conditional "if P then Q" [conditional statement] and is denoted as P → Q or P ⇒ Q. The entailment truth table is given belowThe first statement is 5 + 6 = 11 which is true .
Second statement is 11 - 6 = 5 which is also true .
From the table if both the statements are true then the truth value is "T" .
Hence, truth value of the given statement is T.
Learn more about truth table here :
https://brainly.com/question/13425324
#SPJ9
the tuition at a certain college was $ 23, 472 last year and increased 5.5 % from last year to the current year . How much this is year 's tuition is $
Answer:
$24,862.96
Step-by-step explanation:
100% = $23,472
105.5% = answer?
To convert a percentage to a decimal, you have to divide by 100:
100% = 1.0
5.5% = 0.055
105.5% = 1.055
1.055 × $23,472 = $24,862.96
3x-7y=11;x=-3,0,3
Solve for y
Answer:
y = 3x/7 - 11/7
Step-by-step explanation:
3x/7 - 7y/7 = 11/7
-11/7 +y -11/7 +y
3x/7 - 11/7 = y
Fred invests $13,915 into an account that yields 6.14% interest annually. How much interest will Fred have earned after 18 years? Round answers to the nearest cent (2 decimal places).
Answer:
After 18 years, Fred would have earned $40,675.05
Step-by-step explanation:
Since we know that Fred has $13,915 and the interest annually (every year) is 6.14%, we can just solve for 18 years.
In the case, the equation would be the following:
13.915 x (1 + 0.0614) ^ 18
This equation would get you $40,675.05
Hope this helped! :D
3 -5W + 12 + 2W -3 simplify the expression and combine like terms
Answer:
9w
Step-by-step explanation:
First: combine like terms
3 - 5w + 12 + 2w - 3
(-5w) + 2w = (-3w)
Second: subtract 3 from 12 (12 - 3)
3 - 3w + 12 - 3
Third: subtract 3w from 3 (3 - 3w)
3 - 3w + 9
Forth: add 9 to w (w + 9)
w + 9
Answer:
9w
Question 7 of 8
Indicate below whether the equation in the box is true or false.
6 = 1200
10
OA. True
OB. False
8+40 divided 8(4x9)
Helpppppooop
Answer:
188
Step-by-step explanation:
please help! ill give branliest
Answer: That is a cold front
Step-by-step explanation:
It is a cold front because the warm air is rising because it is less dense than the cold air which is why the cold air isn’t rising because the cold air is denser than that of the warm air so it just continues moving forward
(Multiplying Rational Numbers MC)
Lorie ordered a shed to hold her gardening supplies. The shed had a length of 10.25 ft, a width of 14 ft, and a height of 7 ft.
Determine the volume, V. using the formula V = wh
31.45 cubic ft
103.32 cubic ft
O 983 2 cubic ft J
1.033.2 cubic ft
The shelter has a volume of (E) 1108.25ft³.
What exactly is a Cuboid?A cuboid is a three-dimensional figure with six faces, all of which are rectangular.The volume of a three-dimensional figure is the space it occupies.Formula: V = lwh
Put the values in the formula as follows:
V = 16.25 × 11 × 6.2V = 1108.25 ft³Therefore, (E) 1108.25ft³ is the volume of the shelter.
Know more about Cuboids here:
https://brainly.com/question/26403859
#SPJ9
The correct question is given below:
Lorie ordered a shed to hold her gardening supplies. The shed had a length of 16.25 ft, a width of 11 ft, and a height of six and one-fifth ft. Determine the volume, V, using the formula V = lwh.
a. 31.45 cubic ft
b. 103.32 cubic ft
c. 983 2 cubic ft J
d. 1.033.2 cubic ft
e. 1108.25
Finn has a stick 27 centimeters long. This is 9 times the length of Ellen's stick. Ellen stick is n inches long. How would you find the answer?
Answer: ellens stick is 3 inches long you can find this out because you can multiply 3 times nine and it will give you 27 and then boom you have your answer
Step-by-step explanation:
Answer:
The answer is 3cm
Step-by-step explanation:
Length of Finn's stick=27cm
Length of Ellen's stick=n
Acc to given statement:
27=9n
n=27/9
n=3cm
So Ellen's stick is 3cm long
Find the nonpermissible replacement for x in this expression b^2/5b-5
The non-permissible replacement for x in this expression is 1.
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.
Given:
The given expression is
[tex]x=\frac{b^{2} }{5b-5}[/tex]
Non-Permissible Values: values of a variable that make the denominator of a rational expression equal 0.
If the denominator contains a binomial, the non-permissible values can be determined from the factored form of the binomial.
A rational expression is a fraction, where p and q are polynomials, q ≠ 0. A non-permissible value is a value of the variable that causes an expression to be undefined. For a rational expression, this occurs when the denominator is zero.
Inadmissible Values: values of a variable that do NOT make sense in the context of a given problem.
According to given question we have
The expression is
[tex]x=\frac{b^{2} }{5b-5}[/tex]
By definition, the non-permissible replacement for x in this expression, is the value of x that makes the denominator equal to zero.
5b-5=0
5b=5
Divide both sides by 5 we get,
b=1
Therefore, the non-permissible replacement for x in this expression is 1.
Learn more details about expression here:
https://brainly.com/question/14083225
#SPJ1
The temperature of a cup of coffee changed by $54°F ovel 22 1/2 minutes. What was the change in temperature each minute?
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 8 to 5. If there were 6336 yes votes, what was the total
number of votes?
10296 was the total number of votes in linear equation .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).The ratio of yes votes to no votes = 8 : 5
the ratio is 8 to 5, the first step is to divide 6336 by 8. That results in 792.
Ratio of yes to no votes = 8 : 5
total yes votes = 6336 yes
no of yes votes = 6336 / 8 = 792
no of no votes = 792 * 5 = 3960
Since the question is asking the total number of votes, we add the two results ( 3960+6336) which totals 10296.
Learn more about linear equation
brainly.com/question/11897796
#SPJ9
The marching band needs to create rows for its performance. There are 30 instruments and 18 flag bearers. Only one type of performer can be in each row. What is the maximum number of performers in each row so that all the rows are equal in length?
The maximum number of performers in each row so that all the rows are equal in length is 6.
The greatest common divisor (HCF) of two numbers is the largest number that divides both numbers perfectly. Highest Common Divisor (HCF) is also known as Greatest Common Divisor (GCD).Simply put, the HCF (Highest Common Factor) of two natural numbers x and y is the largest number that divides both x and y.It is given that there are 30 instruments and 18 flag bearers.
Prime factorization of 30 is given by
[tex]30=2\times3\times5[/tex]
Prime factorization of 18 is given by
[tex]18=2\times3\times\ 3[/tex]
The prime factorization of 30 and 18 have 2 and 3 as common prime number so HCF will be [tex]2\times3=6[/tex]
Learn more about HCF here :
https://brainly.com/question/26431349
#SPJ9
A cabin was built in the shape of a rectangle. It is 15 meters (m) long and 10 m wide. How far is it all the way around the outside of the cabin?
Which of these shows a way to solve the problem?
The way around the outside of the cabin is 50 meters
How far is it all the way around the outside of the cabin?The given parameters are:
Length = 15 meters
Width = 10 meters
The way around the outside of the cabin is the perimeter and it is calculated as
Perimeter = 2 * (Length + Width)
So, we have
Perimeter = 2 * (15 + 10)
Evaluate
Perimeter = 50 meters
Hence, the way around the outside of the cabin is 50 meters
Read more about perimeter at
https://brainly.com/question/24571594
#SPJ1
A piñata spilled open and released 50 pounds of candy. If every child there scooped up 5/7 of a pound of candy, how many children were there?
There were 70 children in total.
A fraction represents a part of the whole. It comprises of a numerator and a denominator. For example- 3/4 is a fraction. 3/4th of a number means if the number is divided into 4 equal parts, then 3 parts out of these 4 ⇒ 3/4th of the number.
Here, we are given that a piñata spilled open and released 50 pounds of candy.
Each child scooped up 5/7 of a pound of candy.
Let the total number of children be X
Therefore, we will get the following equation-
(5/7) X = 50
X = 50 (7/5)
X = 10 × 7
X = 70
Thus, there were 70 children in all.
Learn more about fractions here-
https://brainly.com/question/17220365
#SPJ9
What does a Midpoint of a line seament create? Choose all that apply (there are 2 answers.)
what is the answer to -1/2+1/3a=1/8
Answer:
a = 15/8
Step-by-step explanation:
You want the solution to the two-step linear equation ...
-1/2 +1/3a = 1/8
SolutionWhen an equation involves fractions, it is often useful to clear fractions by multiplying the equation by their least common denominator. Here, that means we want to multiply the equation by 24.
-12 +8a = 3 . . . . . . multiply the given equation by 24
8a = 15 . . . . . . . . add 12
a = 15/8 . . . . . . divide by the coefficient of the variable
The solution is a=15/8 or 1 7/8.
Solve the equation.
5.5-x=-4.5-x
Solution:
Answer:
The answer is zero.
Step-by-step explanation:
5.5=-4.5
The statement is false.
Solve this question please for me
f (x) - 2/3x - 7 find the inverse