Answer: The complementary event for choosing a red marble is choosing a blue or purple. The total number of marbles is 5. The probability of choosing a red marble is 1/5, and the complement would be 4/5.
By :- Utsav Xettri
51w + 85 use the greater common factor GCF to rewrite the sum as a prouduct
A pair of or more monomials' GCF (greatest common factor) is the sum of all their prime factors that are shared.
What is Factoring out the greatest common factor (GCF)?Following are the steps we use to factor the GCF out of a polynomial:
The polynomial's GCF for each of its terms.
The GCF and another factor should be used to express each word.
To factor the GCF out, use the distributive property.
Let's factor the GCF using 2 x ³ - 6 x² cubed, and negative 6, x, squared.
First, locate the GCF.
2x³ = 2 . x . x . x
6x² = 2. x . x . x
So the GCF of 2x³ - 6x² is 2.x.x =2x²
Step 2: Summarize each term as the product of two.
2x³ = ( 2x² ) (x )
6x² = (2x ² ) ( 3 )
2x³ - 6x² = (2x²) (x) - (2x²) (3)
Take the GCF into account.
2x² (x) - 2x²(3) = 2x²(x - 3).
The Complete Question.
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Select the correct statement in the table. Brittany is knitting a rectangular blanket. She plans on having a border made from an expensive type of yarn so she needs the perimeter of the blanket to be no more than 200 inches. Brittany also needs the length of the blanket to be at least 12 inches more than the width. Construct a system, where x is the blanket's width and y is the blanket's length, that models the situation. Use the system to test the following situations and determine which is true. (31,43) is not a viable solution because it does not meet the length constraint. (29,71) is not a viable solution because it does not meet the perimeter constraint. (44,56) is not a viable solution because it does not meet either constraint. (56,78) is not a viable solution because it does not meet the length constraint. (35,70) is not a viable solution because it does not meet the perimeter constraint. (60,40) is not a viable solution because it does not meet either constraint.
The length and breadth for the rectangular yarn will be length(y)=56 inch and breadth(x)=44 inch.
What is a rectangle?
A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.
For example, if one side of a rectangle is 20 cm, then the side opposite to it is also 20 cm.
Perimeter of a Rectangle:-
The perimeter of a rectangle is defined as the total distance covered by the outer boundary of the rectangle. It is measured in unit length. The formula of perimeter is given by:
Perimeter, P = 2 (Length + Width)
Now,
As Perimeter {2(x + y)} = 200inch
and y-x=12inch
Hence,
x + y =100
y-x=12
adding both equations we get
y=56 inch and x=44inch
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I really need help on this one pleaseee:)
Answer:482
Step-by-step explanation:
HELLLPPPPPPPP!!!!!! 20 POINTSSSSSS!!! AND BRAINLIEST!!!!!!!!!
Write one multiplication equation and one division equation that are equivalent to 24/6 = 4 .
Answer:
4 x 6 = 24 six times four is twenty four
division one is 24 divided by 4 is 6
Mick's zoo offers a promotional deal: get a free $3 cotton candy and a free
$2 soda with the purchase of five $12 admission tickets. A group of 20
students will each purchase a ticket. If half of them want cotton candy and
1/4 of them want soda, how many dollars would they save by using the
promotional deal?
(pleaseeee explain, last time I only got the answer) ✋
Answer:
A group of 20 students will purchase 205 = 100 admission tickets
Half of them want cotton candy, so 20/2 = 10 students want cotton candy
1/4 of them want soda, so 20/4 = 5 students want soda
So in total, they would save 103 = $30 on cotton candy
And they would save 5*2 = $10 on soda
Therefore, they would save a total of $30 + $10 = $40 by using the promotional deal.
Find the rate of change from the table
What is the solution of the system of equations?
y=-3x - 4
y = -3x
a. None of the Solutions
b. One Solution
c. Infinitely Many Solution
d. No Solutions
Given system of linear equations has No solutions i.e. D.
What are linear equations ?
A linear equation is one in which the variable's maximum power is always 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. In this equation, x is a variable, A is a coefficient, and B is constant. A linear equation in two variables has the conventional form Ax + By = C. The variables x and y are variables, the coefficients A and B are coefficients, and the constant C is a constant.
As given
y=-3x-4
y=-3x
when we make a graph of these equations we can see that these are parallel lines and as parallel lines have no solution because they do not intersect at any point.
Hence, these equations have no solution.
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Mateo made a cylindrical plant stand out of a block of wood. The plant stand has the measurements shown.
Mateo wants to paint all sides of the plant stand with a waterproof sealer. What is the approximate surface area, using 3.14 for m? Use the formula for surface area of a cylinder, А = 2πr² + 2πrh. PLLEASER HELP ME
r= radius. 5in. h= height. 12 in
The surface area of the plant stand will be 533.8 square inches.
The formula for the surface area of a cylinder is A = 2πr² + 2πrh,
where r is the radius and h is the height of the cylinder.
To find the surface area of the plant stand, we can plug in the given values for r and h:
A = 2π(5²) + 2π(5)(12)
A = 2π(25) + 2π(60)
A = 50π + 120π
A = 170π
We can approximate π as 3.14
A ≈ 170 × 3.14 = 533.8 square inches
Thus, the surface area is 533.8 square inches.
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Solve the equation x3 = 64 for x. show how you got it.
Answer:
it’s 4
Step-by-step explanation:
4*4*4=64
The GDP of Florida¹ is 1059 billion dollars with a growth rate² of 2.9%. Write an equation that can be used to
estimate the size of Florida's economy in a future year, assuming the same relative yearly growth rate. Let g
be the state's GDP in billions of dollars in t years from now.
a. The equation is:
b. The equation is in the Select an answer
family
c. Use the equation to determine Florida's GDP in 8 years from now? Round to the nearest billion dollars.
billions
The value added produced through the production of products and services in a nation over a specific time period is typically measured by its gross domestic product (GDP).
What GDP means?The value added produced through the production of products and services in a nation over a specific time period is typically measured by its gross domestic product (GDP). As a result, it also accounts for the money made from that manufacturing, or the total amount spent on finished goods and services (less imports).
GDP is calculated as private consumption plus gross domestic product (GDP), government investment, and government spending (exports – imports). Usually, GDP is estimated using the international standard by the nation's national statistical agency.
The average annual growth rate (AAGR) is the average rise or fall in the value of an investment asset, portfolio, or cash flow over a given time frame. By averaging out the provided year-over-year growth rates, the AAGR is calculated.
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In the diagram below of triangle CDE, F is the midpoint of CE and G is the midpoint of DE . If m ∠ ECD= 12 + 9x ∠EFG=-2x+111, what is the measure of ∠EFG?
Answer:
The measure of ∠EFG is 95.
Ginger borrowed $850 to purchase software and a camera. The simple interest rate is 8% per year. How much will she save if she pays off the loan in two and a half years instead of three years?
The amount of money she will save if she pays off the loan in two and a half years instead of three years would be = $34
What is interest rate?Interest rate is the amount of money an individual receives in addition to the main amount of money that was invested or borrowed out after certain period of time.
The amount of money Ginger borrowed(p) = $850
The simple interest rate (r)= 8%
The time to pay off the loan(t) = 2.5 year
simple interest generated
= p×t×r/100
= 850×2.5×8 /100
= 17000/100
= $170
If she paid off in 3 years the simple interest would be
= 850×3×8/100
=20400/100
= $204
Therefore she would have save a total of = 204-170 = $34
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center at origin, circle passes through (-2, -3)
The equation of a circle passing through the point (- 2, - 3) is -
(x)² + (y)² = 13.
What is the general equation of a circle?The general equation of a circle is -
(x - h)² + (y - k)² = r²
where (h, k) is the center and (r) is the radius.
Given is a that circle passes through (-2, -3).
For the center at origin, we can write -
(x)² + (y)² = r²
(x)² + (y)² = (- 3 - 0)² + (- 2 - 0)²
(x)² + (y)² = 9 + 4
(x)² + (y)² = 13
Therefore, the equation of a circle passing through the point (- 2, - 3) is -
(x)² + (y)² = 13.
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QUESTION DOWN BELOW!
ITS DUE SOON PLEASE HELP EXPLAIN THIS!!
10x^2 − 6x. divided by 2x
Answer: 5x - 3
Step-by-step explanation:
10x² - 6x = 2x(5x - 3)
2x(5x-3)/2x = 5x - 3
Cheers
Set A 9, 10, 12
Set B 1, 9, 12
What is the union of sets A and B?
Union of set A and B is {1, 9, 10, 12}
What is Set ?A set comprises elements or members that can be mathematical objects of any sort, including numbers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is the mathematical model for a collection of various things.
The components from both sets A and B, or both sets together, make up the union of the two sets A and B. It is represented by the letter "U." For instance, if set A = 1, 2, 3, and set B = 4, 5, then A U B = 1, 2, 3, and 4, respectively. A U B is pronounced "A union B."
The set that contains every element of the supplied sets is the union of two or more sets. The symbol "U" can be used to represent a union of sets. Assume that X U Y may be used to represent the union of two sets, X and Y.
Set A = {9, 10, 12}
Set B = {1, 9, 12}
Union of set A and B is {1, 9, 10, 12}
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give the equation of the circle centered at the origin and passing through the point (6,0)
Answer:
A circle centered at the origin (0,0) can be represented by the equation (x-0)^2 + (y-0)^2 = r^2, where r is the radius of the circle.
Given that the circle is passing through the point (6,0), we can use this point to find the radius of the circle. The distance between the center of the circle (0,0) and a point on the circle (6,0) is the radius of the circle.
We can use the distance formula to find the radius:
r = √((x2-x1)^2 + (y2-y1)^2)
where (x1,y1) is the center of the circle and (x2,y2) is a point on the circle.
Plugging in the values:
r = √((6-0)^2 + (0-0)^2) = √(6^2) = √36 = 6
Therefore, the equation of the circle centered at the origin and passing through the point (6,0) is (x-0)^2 + (y-0)^2 = r^2, where r is 6.
So the equation of the circle is: x^2 + y^2 = 36.
Find the slope of the line that passes through (2, 11) and (4, 6).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Between the points (9, 5) and (5, 4), the supplied line must have a 1/4 slope.
Which direction does the line slope in?A line's tangent angle to the horizontal creates the slope of the line. Specifically, m = tanx, with x in degrees.
The line that intersects (9, 5) and (5, 4).
Given as m = (y2 - y1) / (x2 - x1), the slope of the line.
Replacing the tenth (9,5) and (5, 4).
As seen in the equation above, m = 1 / 4 m = 4 - 5 / 5 - 9
The needed slope of the provided line, which goes through the points (9, 5) and (5, 4), is therefore 1/4.
Between the points (9, 5) and (5, 4), the supplied line must have a 1/4 slope.
The complete question is,
Calculate the slope of the line that goes through (9, 5) and (5, 4).
Write your response as an integer, a correct fraction, or both to make it as simple as possible.
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3. Erik is drawing a picture of his school's basketball
court. The actual basketball court is 84 ft long and
50 ft wide. If Erik draws the court with a length of
21 in., what will be the width?
Answer: 12.5 in.
Step-by-step explanation:
84 / 21 = 4
50 / 4 = 12.5
In a recent year 37% of all college students were enrolled part time.if 5.9 millions college students were enrolled part time that year what was the total number of colleges students?
Answer:
We know that 37% of all college students were enrolled part time. If 5.9 millions college students were enrolled part time that year, we can use this information to find the total number of college students.
We know that the part-time enrollment percentage is represented by the ratio:
part-time students / total students = 37%
We can set up the equation:
5.9 million / x = 37/100
Where x represents the total number of students
To find the total number of students, we can cross-multiply and divide:
5.9 million * 100 = 37 * x
x = 5.9 million * 100 / 37
The total number of college students that year was:
x = 16,081,081
So the total number of college students that year was 16,081,081
In circle Q, QR = 6 and the area of shaded sector = 27. Find the length of RTS.
-
Express your answer as a fraction times 7.
Fraction times 7, the length of RTS is 84/7.
What is length?Length is a measure of how long an object is, or the distance between two points. It is a fundamental concept in physics, mathematics, and engineering. Length can be measured in a variety of ways, including inches, centimeters, feet, and meters. Length is an important factor when designing objects, as it can affect their usability, strength, and overall performance.
The shaded sector of the circle has an area of 27, which is equal to one-fourth of the entire circle. Therefore, the sector angle, RTS, is equal to one-fourth of the entire angle of the circle, which is 360 degrees. Therefore, the angle RTS is 90 degrees.
The ratio of the radius to the arc length for the sector is 1:2, which means the arc length of RTS is equal to twice the radius, or QR*. Therefore, the length of RTS is equal to 2 * QR = 12. Expressing this answer as a fraction times 7, the length of RTS is 84/7.
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Complete the statements below about the area of the red rectangle.
Each red block has area of [tex]\frac{7}{12}[/tex] square unit.
The area of the red rectangle is = [tex]\frac{7}{8}[/tex]× [tex]\frac{2}{3}[/tex] = [tex]\frac{7\times 2}{8\times 3}[/tex] = [tex]\frac{7}{12}[/tex] square unit.
What is area of rectangle?
The area of a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth.
Here the given rectangle measures are,
Length of the rectangle = [tex]\frac{7}{8}[/tex]
Breadth of the rectangle = [tex]\frac{2}{3}[/tex]
Now area of the rectangle = length × breadth
=> A = lb
=> A= [tex]\frac{7}{8}[/tex]× [tex]\frac{2}{3}[/tex] = [tex]\frac{7\times 2}{8\times 3}[/tex] = [tex]\frac{7}{12}[/tex] square unit.
Hence each red block has area of [tex]\frac{7}{12}[/tex] square unit.
The area of the red rectangle is = [tex]\frac{7}{8}[/tex]× [tex]\frac{2}{3}[/tex] = [tex]\frac{7\times 2}{8\times 3}[/tex] = [tex]\frac{7}{12}[/tex] square unit.
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1+(8)+(-22)+50+(80) I need help please help me
………………help please and thank youu
By using the rule a^m/a^n = a^m-a^n , x^10y^14/729 is the equivalent expression of the provided expression.
what is expression ?Math allows for addition, subtraction, multiplication, and division. Following is the structure of an expression: Calculator, number or variable, and expression The components of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) You can contrast phrases and expressions.
given
(27x^3y^-15/x^8y^-8) ^-2
[ 27x^3-8 y ^-15-(-8)]^-2...... a^m/a^n = a^m-n
= 1/(27)^2 * (x^10y^11) = x^10y^14/729 .
By using the rule a^m/a^n = a^m-a^n , x^10y^14/729 is the equivalent expression of the provided expression.
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Select the graph of the solution. Click until the correct graph appears. |x| + 1 < 3
The solution to the given inequality is x<2. Therefore, option C is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality is |x|+1<3.
Here, subtract 1 on both the sides of an inequality, we get
x<2
Therefore, option C is the correct answer.
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how do you slove this
in the pic
The approximate values for the given expressions, will be 240, 250, 220 and 270
What is an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
Given are some expressions, we need to solve them by adding or subtracting, and then approximate the results,
1) 349.6 - 112.8 = 236.8 ≈ 240
2) 173.3 + 78.4 = 251.7 ≈ 250
3) 817.2 - 597.1 = 220.1 ≈ 220
4) 108.8 + 159.3 = 268.1 ≈ 270
Hence, the correct values will be 240, 250, 220 and 270
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PLSS HELPEPAngel is using a spool of ribbon to make gift wrap bows. The spool contains 8 1/6 yards of ribbon. If Angel uses the entire spool to make 7 identical bows, how much ribbon, in yards, would be used for each bow? Write your answer in simplest form.
Answer:
5/6 yards
Step-by-step explanation:
7/6 yards of ribbon would be used to make the 7 identical bows.
To find out how much ribbon is used for each bow, we need to divide the total amount of ribbon on the spool by the number of bows.
To divide 8 1/6 by 7, we can convert the mixed number to an improper fraction first:
8 1/6 = (8 x 6 + 1) / 6 = 49/6
Now we can divide:
49/6 ÷ 7 = 7/6
So each bow would use 7/6 of a yard of ribbon. To write this in simplest form, we divide both the numerator and denominator by their greatest common factor. In this case, it is 1.
Therefore, 7/6 is the simplest form.
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Determine whether the graph represents a proportional relationship. (4 points)
Number of Wheels
15
14
13
12
11
10
2987654321
→
1-
1 2 3 4 5 6 7 8 9 X
Number of Cars
Yes, it is a proportional relationship because the graph is a straight line
No, it is not a proportional relationship because the graph does not go through the origin
OYes, it is a proportional relationship because the graph goes through the origin
No, it is not a proportional relationship because the graph is not a straight line
A machinist made a gear 101 inches in diameter with 54 teeth using this same ratio how many teeth will be on a gear with a 7 inch diameter
Therefore , the solution of the given problem of ratio comes out to be
x= 3.74 teeth in another gear.
A ratio is defined.The simple formula "a / b" can be used to define an equality pair of integers "a" and "b," where "b" cannot be greater than zero. Two ratios are combined to form a ratio. If there were only one man with three women, the ratio might be represented as 1:3. The group is made up of 3/4 girls and 1/4 guys. A split between two or more objects, a statistic, or a piece of a part's volume are all examples of parts.
Here,
Given :
A 101-inch-diameter gear with 54 teeth was created by a machinist.
Therefore, another gear's diameter is 7 inches.
To find the teeth of other gear let it be x :
=> 101/54 = 7/x
=> x = 7*54 /101
=> x= 3.74
Therefore , the solution of the given problem of ratio comes out to be
x= 3.74 teeth in another gear.
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i can not figure this out. please help me!
Answer:
m∠m = 130
m∠n = 105
Step-by-step explanation:
Break the shape into 2 isosceles triangles. Base angles of isosceles triangles are congruent.
m∠m = 130 sum of interior angles of a triangle = 180; 180 - 25 - 25 = 130
m∠n = 130 - 25 = 105