fractions are a way of expressing the part of a whole.
What is the fraction?To answer this question, we need to first convert both fractions into the same denominator. The fraction 3 3/4 can be converted to 15/4, and 22 1/2 can be converted to 45/2.Once both fractions are in the same denominator, we can divide the numerators by the denominators to get the solution. When we divide 15/4 by 45/2, the answer is 1/3. Therefore, 22 1/2 is one third of 3 3/4. To explain this in more depth, In the fraction 3 3/4, the numerator 3 is the number of parts of the whole, and the denominator 4 is the number of equal parts that make up the whole.Therefore, 3 3/4 can be expressed as 3 parts out of 4 parts, or 3 out of every 4. Similarly, 22 1/2 can be expressed as 22 parts out of 2 parts, or 22 out of every 2. When we divide 15/4 by 45/2, we are essentially asking what fraction of 3 3/4 is 22 1/2. To get the answer, we divide 15, the numerator of 3 3/4, by 45, the numerator of 22 1/2. This gives us the answer of 1/3. In other words, 22 1/2 is one third of 3 3/4.3 3/4 = 15/4
22 1/2 = 90/4
90/4 ÷ 15/4 = 6
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What are 4 ordered pairs?
An ordered pair is a refers to the of the x coordinate and the y coordinate of a point. They have two values which is written in a specific order and is quoted by parentheses.
It is used when we need to solve some problems and it also has utilization in the field of statistics.
Ordered pair are also used in coordinate geometry, they are used to portray geometric objects and figures in open space which helps to improve visual perception.
Ordered pairs are used to represent the center, vertices, and length of the sides of a square, circle, rectangle, or polygon with coordinates.
Example: ( 2 , 4).
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Debbie's bank offers an online bill pay service. For this, the bank charges $2.25
per month plus $0.10 per bill paid using the service. How many bills does she pay
each month if the charges are always between $3.50 and $5.00? (Note: She is not
allowed to pay part of a bill.)
please write as an inequality and show work
We know that the bank charges $2.25 per month plus $0.10 per bill paid using the service. Let x be the number of bills paid using the service.
The total cost of the service is:
Cost = 2.25 + 0.10x
We also know that the charges are always between $3.50 and $5.00. So we can write this as an inequality:
3.50 <= Cost <= 5.00
To find the number of bills, we can substitute the expression for cost into the inequality:
3.50 <= 2.25 + 0.10x <= 5.00
We can solve this inequality by isolating x on one side:
0.10x >= 1.25
x >= 12.5
So the number of bills paid using the service is greater than or equal to 12.5.
She could pay exactly 12 bills, 13 bills, 14 bills and so on.
The solution is x >= 12.5
Let's call the number of bills paid per month as "x"
We know that the total cost is:
$2.25 (fixed monthly fee) + $0.10x (cost per bill paid)
We also know that the total cost is between $3.50 and $5.00
Therefore, $3.50 <= $2.25 + $0.10x <= $5.00
To solve for x, we can first isolate x by subtracting $2.25 from both sides of the inequality:
$1.25 <= $0.10x <= $2.50
Now we can divide both sides of the inequality by $0.10 to get:
12.5 <= x <= 25
It means that the number of bills paid per month using the service is between 12 and 25 bills, Debbie can pay at least 12 bills and at most 25 bills.
Write the equation of the line in standard form:
2/3x+4/3y=6
The equation of the line in standard form is 2x + 4y = 18.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
The equation of a line in standard form is,
Ax + By = C, where A, B and C are integers.
The equation given is,
(2/3)x + (4/3)y = 6
We need the coefficients to be integers.
Multiply throughout the equation by 3.
2x + 4y = 18, which is the standard form.
Hence 2x + 4y = 18 is the standard form.
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QUICK HELP ME LOL!!!!! BOTH
Answer:
amplitude=2
period=[tex]\pi[/tex]
Casho is deciding between two different movie streaming sites to subscribe to. Plan A costs $40 per month plus $2 per movie watched. Plan B costs $34 per month plus $3 per movie watched. Let AA represent the monthly cost of Plan A if Casho watches xx per month, and let BB represent the monthly cost of Plan B if Casho watches xx movies per month. Write an equation for each situation, in terms of x,x, and determine the number of monthly movies watched, x,x, that would make the two plans have an equal monthly cost.
AA: y=40x+2
BB: y=34x+3
PLEASE HELP MEEEEEEEEE
The following results for the algebraic equation according to algebra properties are listed below:
x⁴ + 2 · x² · y² + y⁴ x⁴ + 4 · x² · y² x² · (x² + 4 · y²)How to expand an algebraic equationIn this problem we find an algebraic equation that must be expanded and simplified by means of algebra properties. Now we proceed to present the complete procedure. First, write the complete expression:
(x² + y²)² + 2 · x² · y² - y⁴ = x² · (x² + 4 · y²)
Second, expand the perfect square binomial:
x⁴ + 2 · x² · y² + y⁴ + 2 · x² · y² - y⁴ = x² · (x² + 4 · y²)
Third, use distributive property and add similar terms:
x⁴ + 4 · x² · y² = x² · (x² + 4 · y²)
Fourth, use distributive property once again:
x² · (x² + 4 · y²) = x² · (x² + 4 · y²)
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which pair of the forms a proportion 4/8 and25/50
Answer:
1/2
Step-by-step explanation:
If you want more equivalent fractions, then you can multiply it by different numbers. The same number should be multiplied in numerator as well as denominator. You can divide it with the smallest number possible to get the simplest form
Which of the following is a monomial ? *(d) a + b + c + d.(b) a + 6(a) 4x²(c) a + 6 + c
A monomial is an algebraic expression that consists of only one term. Examples of monomials include 4x², a + 6, and a + b + c + d.
In the given example, (a) 4x² is a monomial because it consists of only one term, 4x². (b) a + 6 is also a monomial because it consists of only one term, a + 6. (c) a + 6 + c is not a monomial because it consists of more than one term, namely a + 6 and c. (d) a + b + c + d is also not a monomial because it consists of more than one term, namely a, b, c, and d.
To calculate the value of a monomial, we must first determine its degree. The degree of a monomial is the sum of the exponents of its variables. For example, the degree of 4x² is 2 because it consists of only one variable, x, with an exponent of 2.
Once the degree of a monomial is determined, its value can be calculated by substituting the values of its variables. For example, if x = 3, then 4x² = 4(3)² = 36.
In summary, a monomial is an algebraic expression that consists of only one term. Its degree is the sum of the exponents of its variables. To calculate its value, substitute the values of its variables into the expression.
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There are 3 feeder bus services plying to and from the nearby town center. Ahmed can ride on one of these services or walk to the town center. However, he decides that on this way back , he will ride on one of these services. In how many ways can he go to the town center and back ?
If he decided that on this way back , he will ride on one of these services then in total 9 ways he can go to the town center and back.
In the given question, there are 3 feeder bus services plying to and from the nearby town center.
Ahmed can ride on one of these services or walk to the town center.
However, he decides that on this way back , he will ride on one of these services.
We have to find in how many ways he can go to the town center and back.
According to the given conditions, we know that there are 3 feeder and we can use these feeder in 3 ways.
So we can write it as;
Number of ways he can go to the town center and back = 3 × 3
Number of ways he can go to the town center and back = 9
Hence, if he decided that on this way back , he will ride on one of these services then in total 9 ways he can go to the town center and back.
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Find the mean,median,mode, and range
84,96,72,77,91
Answer:
Mean - 84
Median - 77
Mode - 84, 96, 72, 77, 91 (Or no mode)
Range - 12
Step-by-step explanation:
Mean;
Step 1 - Add all the numbers up:
84 + 96 + 72 + 77 + 91
= 420
Step 2 - divide that by 5 (because there are 5 numbers):
420 ÷ 5
= 84
Median;
Step 1 - Put the numbers in order:
84, 72, 77, 91, 96
Step 2 - Find the middle number
84, 72, 77, 91, 96
Mode;
There aren't any repeated numbers so you can put all the numbers or no mode
84, 96, 72, 77, 91
Range;
Step 1 - Subtract the smallest number from the biggest number:
96 - 84
= 12
You're welcome :)
The first five terms of n^2+4 are
Answer: a₁ = 5, a₂ = 6, a₃ = 13 are the only ones I could figure out, I apologize.
Step-by-step explanation: I hope this helps a little!
Brianna was out at a restaurant for dinner when the bill came. She wanted to leave a 23% tip. If dinner cost dd dollars and cents, which expression represents the cost of dinner plus tip?
The expression that that represents the cost of the dinner plus tip is d(23/100+1)
What is linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1.
Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3
The cost of the dinner = d
the cost of the tip is 23% of the cost of the dinner = 23/100 × d = 23d/100
Therefore the total cost of the dinner and the tip = 23d/100 + d
by bringing d out
The total cost of dinner and tip = d (23/100+1)
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How many prime numbers are twins?
Total number of prime numbers which are twin are infinite and its general form is given ( 6n - 1 , 6n + 1 ) apart from ( 3, 5 ) where 'n' represents the natural number.
As given in the question,
Prime numbers are those numbers which have only two factors one and the number itself.
Prime numbers which are twins are defined as when the difference between two prime number is equal to 2.
Example of twin prime numbers are as follow :
( 3, 5 ) , ( 5, 7 ) , ( 11 , 13 ) , ( 17 , 19 ) , ( 29 , 31 ), ( 41, 43 ) ,...........,(6n - 1 , 6n + 1 )
where 'n' represents the natural number.
5 is the only prime number which exist in two pairs of twin prime numbers.
Apart from ( 3,5 ) all the twin prime numbers divided by 12.
Therefore, there are infinite prime numbers which are representing as a twin prime numbers.
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How do you find the area of a triangle with 3 unequal sides?
To find the area of a triangle with 3 unequal sides, you can use Heron's Formula.
This formula states that the area of a triangle (A) is equal to the square root of s(s-a)(s-b)(s-c), where s is half of the perimeter of the triangle and a, b, and c are the lengths of the sides of the triangle.
1. Calculate the perimeter of the triangle by adding together the lengths of all three sides.
2. Divide the perimeter by two to find s.
3. Plug in the lengths of the three sides and the value of s into Heron's Formula to calculate the area of the triangle.
A = √s(s-a)(s-b)(s-c)
To find the area of a triangle with 3 unequal sides, you can use Heron's Formula which states that the area of a triangle (A) is equal to the square root of s(s-a)(s-b)(s-c), where s is half of the perimeter of the triangle and a, b, and c are the lengths of the sides of the triangle.
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i am good with graphs but not equations, plus i put 30 points for an answer. i need help
Carly reads at a faster rate than Monica. The number of pages in Monica's novel is greater than the number of pages in Carly's novel.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Carly Equation:
y= - 35x + 220
and, Monica equation:
slope = (90- 240)/ 5-0
slope = -150/5
slope= -30
and, the equation is
y- 240 = -30 x
y= -30x + 240
From comparing both cases Carly start with 220 pages and Monica with 240 pages and Carly will complete in 7 hours whereas Monica will complete in 8 hours.
Hence, Carly reads at a faster rate than Monica.
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What is a graph with x 3 called?
The graph with x 3 is called a cubic graph.
A graph is a visual representation of data, usually plotted on a two-dimensional plane. When graphing a function, the x-axis is used to represent the independent variable and the y-axis is used to represent the dependent variable. A graph with x 3 is a graph that shows the relationship between the independent variable, x, and the dependent variable, x3. This type of graph is called a cubic graph, as the graph follows a cubic equation.
The graph with x 3 is called a cubic graph.
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What is the equation of this line in slope-intercept form?
y = −3x + 2
y = 3x −2
y = −1/3x +2
y = 3x + 2
Answer:
Y=-3x+2
Step-by-step explanation:
The basic formula is y=mx+b where m is the slope and b is the y intercept
If you look y is at positive 2. Then you can count from the y intercept to the point, it's down 3 over 1 so it would be -3/1 which is just -3
A moving company want to buy a new type of truck and need to know the volume of the torage compartment before they can decide if they hould purchae the truck. What’ i the volume of the torage compartment
The volume of the storage compartment is 1246 cube ft.
In the given question, we have to find the volume of the storage compartment.
The diagram of the question is given below.
If we see the diagram it forms two recatangle with the lengths given below.
As we know that the volume of the cuboid is
V = LBH
where, L = length, B = breadth, H = Height
Now finding the volume of the cuboid A.
So V(A) = 10*8*15
V(A) = 1200 cube ft
Now finding the volume of the cuboid B.
So V(B) = 2*8*3
V(B) = 48 cube ft
Now the volume of the storage compartment is the sum of the volume of cuboid A and volume of the cuboid B, then we subtract 2 ft because we count the 2 ft of height two times.
The volume of storage compartment = volume of the cuboid A + volume of the cuboid B - 2 ft
The volume of storage compartment = 1200 + 48 - 2
The volume of storage compartment = 1248 - 2
The volume of storage compartment = 1246 cube ft
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Use a trigonometric ratio to solve for z. Round to two decimal places as necessary!!
HELP, and can someone explain how to get the answer?
When the length of one side and the angle of one corner of a right-angled triangle are provided as 16 and 69°, respectively, trigonometric ratios are used to compute the value of b as 35.38.
what is trigonometric ratios ?The values of all trigonometric functions depending on the side ratio of a right-angled triangle are known as trigonometric ratios. The ratios of a right-angled triangle's sides to any acute angle are the angle's trigonometric ratios.
given
one side = 16
angle = 69°
one angle = 90° as right angle triangle
another angle = 69°+ 90° + x = 180°
= 155° + x = 180°
x = 25°
a / sin69° = 16 / sin25°
a = 35. 38
When the length of one side and the angle of one corner of a right-angled triangle are provided as 16 and 69°, respectively, trigonometric ratios are used to compute the value of b as 35.38.
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What is an expression that can be use to multiply 6 x 198 mentally?
Answer:
paper and pencil
Step-by-step explanation:
get a paper then a pencil and solve it
-6 × 2 + 6 × 200.
Hope this helps! :D - your friendly neighborhood Jxro!
Kala is driving on the highway. She begins the trip with 16 gallons of gas in her car. The car uses up one gallon of gas every 20 miles.
Let G represent the number of gallons of gas she has left in her tank, and let D represent the total distance (in miles) she has traveled. Write an equation relating G to D, and then graph your equation using the axes below.
Answer: G = 15-D/20
Step-by-step explanation:
Using the variables given,
G = 15 - D/20
help me cause its due today
Answer:
(-2, 1)
Step-by-step explanation:
x = -2
-2(-2) + 2y = 6
4 + 2y = 6
2y = 2
y = 1
Pablo has 21 coins in his coin collection. 9 of the coins are gold and the rest are silver. What is the ratio of the number of silver coins to the number of gold coins? 4) Write your answer as a fraction. Use a slash (/) to separate the numerator and denominator.
Answer:12/9
Step-by-step explanation:
subtract 9 from 21 and 21 will give you 12 silver coins which will be 12 silver coins to 9 gold coins
What is the value of x? responses x = 4. 8 cm x, = 4. 8 cm x = 30 cm x, = 30 cm x = 93 cm x, = 93 cm x = 187. 5 cm x , = 187. 5 cm two segments c d and segment a b intersect at point e to form two triangles c a e and d b e. Angle c is congruent to angle d. B e is 30 centimeters. D e is 12 centimeters. A e is 75 centimeters. C e is x.
Therefore, when two segments c, d, and a, b, cross at point e to form two triangles, the value of x is 30 cm.
what is triangle ?Triangles are shapes with three sides and three vertices, making them polygons. It is one of geometry's fundamental forms. A triangle containing vertices A, B, and C is known as a triangle ABC. In Euclidean geometry, a singular plane and triangle are discovered when the three points are not collinear. A polygon with three sides and three corners is called a triangle. The corners of the triangle are the points where the three sides meet one another end to end. The sum of the angles in a triangle is 180 degrees.
given
From the diagram shown, the following equation is true:
x/75 = 12/30
Cross multiply
30x = 12 * 75
30x = 900
Divide both sides by 30
30x/30 = 900/30
x = 30
Therefore, when two segments c, d, and a, b, cross at point e to form two triangles, the value of x is 30 cm.
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Is Root 3x 5 a polynomial?
No, Root 3x 5 is not a polynomial, because it does not meet the definition of a polynomial.
A polynomial is a mathematical expression consisting of variables and coefficients, which only uses the operations of addition, subtraction, multiplication, and non-negative integer exponents. In other words, it must be an expression that can be written in the form ax^n + bx^(n-1) + cx^(n-2) + dx^(n-3) + ... + z, where n is an integer, and a, b, c, d, ... and z are real numbers.
Root 3x 5 does not fit this definition, because it contains a square root (√) which is not one of the operations listed. Additionally, it does not fit the form of a polynomial, as it does not contain any coefficients or exponents. The formula for root 3x 5 is simply √3x 5, and the calculation is the square root of 3x 5, or √15, which is equal to 3.75.
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2.) There were 145 pounds of flour at the bakery at the start of the day. The bakery uses 111 pounds of flour by the end of the day. What percent of flour did they use?
The bakery used 76.55 % of the flour by the end of the day.
How to calculate Percentage?
The percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
To find the percent of flour used by the bakery, we need to divide the amount of flour used by the total amount of flour and then multiply by 100 to convert the decimal to a percentage.
We can use the formula:
percent used = (the amount used / total amount) x 100
In this case:
percent used = (111 / 145) x 100 = 76.55 %
Hence, The bakery used 76.55 % of the flour by the end of the day.
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equivalent unit rate of $22.80
8lb
What are the 3 types of sides in a right triangle?
The 3 types of sides in a right triangle are hypotenuse, base, and perpendicular.
A triangle is a form of a two-dimensional polygon with three edges and vertices. It is divided on the basis of sides as a Scalene triangle, Isosceles triangle, and Equilateral triangle. It is also divided on the basis of angles as acute, obtuse, and right-angle triangles.
A right-angle triangle has one angle equal to 90° and the other two angle sums up to be 90°. The angle formed by the base and perpendicular is 90°.
The hypotenuse is the longest side of the triangle and it is opposite of the right angle. The relation between the three sides is Hypotenuse∧2 = Perpendicular∧2 + Base∧2. this relation is also called Pythagoras theorem.
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I need help im struggling
Answer:
5
Step-by-step explanation:
You should do cross multiplication.
Multiply 3 by 10 and 6 by 'h'
So 3×10=6h
6h=30
h=30÷6=5
Solve sin² (t) = 6 cos(t) for all solutions 0 ≤ t < 2π
t =
The value of t in the trigonometric equation are The value of t is cos-1(-3 ± 1)
What is Trigonometry ?The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.
One of the most significant areas of mathematics is trigonometry. The terms "Trigonon" and "Metron," which imply triangle and measure respectively, are combined to produce the word "trigonometry." It is the examination of how a right-angled triangle's sides and angles relate to one another. It is therefore helpful to use formulae and identities based on this connection to determine the measure of a right-angled triangle's unknown dimensions.
In trigonometry, there are six fundamental ratios that are used to create a connection between a right triangle's side-to-angle ratio and its angle. If the angle created by the base and hypotenuse of a right-angled triangle is, then
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
Now,
sin2(t) = Gcos(t)
I — cos2(t) — 6cos(t) = O
cos(t) = -3 ± 1
The value of t is cos-1(-3 ± 1)
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