The equivalent fractions, with a common numerator of 6, are given as follows:
2/5 = 6/15.3/10 = 6/20.How to obtain the equivalent fractions?A fraction is a numerical representation of the division of the two terms x and y that composed the fraction, as follows:
Fraction = x/y.
The terms are named as follows:
The top term x is the numerator of the fraction.The bottom term y is the denominator of the fraction.Equivalent fractions are fractions for which the ratio of the numerator and the denominator is the same.
For fraction 2/5, the numerator is of 2, hence 6/2 = 3 and the equivalent fraction is obtained as follows:
(2 x 3)/(5 x 3) = 6/15.
For fraction 3/10, the numerator is of 3, hence 6/3 = 2 and the equivalent fraction is obtained as follows:
(2 x 3)/(2 x 10) = 6/20.
More can be learned about fractions at brainly.com/question/21610929
#SPJ1
triangle sum and exterior angle theorem find the value of x. serious answers only, will give brainliest pls
The measure of angles for questions 19) and 20) are x = 32° and x = 115° respectively using the triangle sum and exterior angle theorem.
How to evaluate for the angles x for the trianglesquestion 19 has 2 isosceles triangles and the measure of x can be derived by equating one of the base angles of the smaller triangle to the sum of its 2 opposite angles as follows;
let y be one of the base angles of the smaller triangle so that;
2y = 180 - 56 {sum of interior angles of a triangle}
2y = 124
y = 62
hence;
62 = x + x {exterior angle of a triangle equals the sum of its two opposite angles}
2x = 62
x = 31°
For question 20, we first find the two opposite angles of x as follows;
180 -(62 + 50) = 68
180 - (53 + 80) = 47
x = 68 + 47
x = 115°
Therefore, the measure of angles for questions 19) and 20) are x = 32° and x = 115° respectively using the triangle sum and exterior angle theorem.
Know more about triangles here:https://brainly.com/question/29285976
#SPJ1
Find the area and the perimeter of a rectangle with the ide length of 4 1/5 in and 4 2/7 in
The Perimeter is 16.97 inch, and the Area is 18 square inch units.
Given, Length, l = 4 1/5 inch = 21/5 inch
Breadth, b = 4 2/7 inch = 30/7 inch
The overall length of the outline determines a shape's perimeter in two dimensions. We add the lengths of all four corners of a rectangle to find its perimeter. Since the opposite sides of a rectangle are always equal, we must determine the length and width of the rectangle in order to determine its perimeter. The rectangle's perimeter can be expressed as the product of its length and width times two. As a linear measurement, the perimeter can be expressed in metres, centimetres, inches, feet, etc.
Perimeter of the rectangle = 2 (l + b) = 2 (21/5 + 30/7)
= (147 + 150)(2/35)
= 297 x 2/35 = 16.97 inch
The quantity of space occupied by a flat surface with a specific shape is referred to as the area. It is calculated as a "number of" square units (square centimeters, square inches, square feet, etc.) The quantity of unit squares that can fit inside a rectangle called its area. The flat surfaces of laptop monitors, blackboards, painting canvases, etc. are a few instances of rectangular shapes. To determine the area that these objects occupy, use the rectangle's area formula.
Area of the rectangle = l x b
= 21/5 x 30/7 = 18 inch square units
To learn more about perimeter and area, visit the link:
https://brainly.com/question/11957651
#SPJ4
The Perimeter is 16.97 inches, and the Area is 18 square inch units.
Given, Length, l = 4 1/5 inch = 21/5 inch
Breadth, b = 4 2/7 inch = 30/7 inch
The overall length of the outline determines a shape's perimeter in two dimensions. We add the lengths of all four corners of a rectangle to find its perimeter. Since the opposite sides of a rectangle are always equal, we must determine the length and width of the rectangle in order to determine its perimeter. The rectangle's perimeter can be expressed as the product of its length and width times two. As a linear measurement, the perimeter can be expressed in meters, centimeters, inches, feet, etc.
Perimeter of the rectangle = 2 (l + b) = 2 (21/5 + 30/7)
= (147 + 150)(2/35)
= 297 x 2/35 = 16.97 inch
The quantity of space occupied by a flat surface with a specific shape is referred to as the area. It is calculated as a "number of" square units (square centimeters, square inches, square feet, etc.) The quantity of unit squares that can fit inside a rectangle is called its area. The flat surfaces of laptop monitors, blackboards, painting canvases, etc. are a few instances of rectangular shapes. To determine the area that these objects occupy, use the rectangle's area formula.
Area of the rectangle = l x b
= 21/5 x 30/7 = 18 inch square units
To learn more about perimeter and area, visit the link:
brainly.com/question/11957651
#SPJ4
Write 5.2288888… repeating as a fraction
5.228 written as fraction is 1307/250
One hose can fill a small swimming pool in 85 minutes. A larger hose can fill the pool in 40 minutes. How long will it take the two hoses to fill the pool working together?
Answer:
Below
Step-by-step explanation:
Rate1 = 1 pool / 85 min = 1/85
rate2 = 1 / 40
now find how long it will take with the combined rates
pool / (rates) = time
1 / ( 1/85 + 1/40) = 27.2 min
The circumference of a circular field is 279.46 yards. What is the radius of the field?
Answer: 44.6 yards
Step-by-step explanation: The formula for the circumference of a circle is C = 2 * π * r, where r is the radius. We can rearrange the formula to solve for r:
r = C / (2 * π) = 279.46 / (2 * π) = 44.6 yards
So, the radius of the field is approximately 44.6 yards.
p.s. sorry it might be 44.6 yards or / 44.5 yards :)
Find the value of x.
A: 80 degrees
B: 40 degrees
C: 60 degrees
D: 140 degrees
Show work.
Joseph has a bag filled with 3 red, 3 green, 15 yellow, and 9 purple marbles. Determine P(not red) when choosing one marble from the bag.
10%
30%
50%
90%
(bonus) prove ∃x(a(x) ∧ ¬b(x)) ∀x(a(x) −→ c(x)) ∴ ∃x(c(x) ∧ ¬b(x))
(bonus) prove the equation ∃x(a(x) ∧ ¬b(x)) ∀x(a(x) −→ c(x)) ∴ ∃x(c(x) ∧ ¬b(x))
Proof by Contradiction:Assume that ∃x(c(x) ∧ ¬b(x)) is false.
Therefore, we can conclude that ∀x(c(x) ∧ ¬b(x)) is true.
This implies that for all x, either c(x) is false or b(x) is true.
But, from our assumption, we know that ∃x(a(x) ∧ ¬b(x)) is true.
Therefore, there must exist an x such that a(x) is true and b(x) is false.
Since a(x) is true, we can conclude from ∀x(a(x) −→ c(x)) that c(x) must also be true.
But this is a contradiction since we previously assumed that the equation ∀x(c(x) ∧ ¬b(x)) is true, which implies that c(x) must be false.
Therefore, our initial assumption must be false, and we can conclude that ∃x(c(x) ∧ ¬
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
Write and solve a system of equations for the following situation: The student council was selling tickets to the
school play, Adult tickets cost $7.00 each and children tickets cost $2.00 each. The student council made $500.00
from the ticket sales. They sold a total of 125 tickets. How many adult and children tickets did they sell?
50 many adult and 75 children tickets did they sell. This can be solved using the concept of equations.
What is system of equations?Equations simultaneously, or a system of equations Multiple equations in algebra must be solved simultaneously. There must be an equal number of equations and unknowns for a system to have a singular solution. When two or more equations use the same variables, they are said to be in a system of equations. Graphing, substitution, and elimination are the three techniques used to solve systems of equations.
For instance, two equations with the identical variables, x and y, are x + y = 12 and 2x + 5y = 8. They are an equational system.
Let,
cost of adult tickets = x
cost of children tickets = y
tickets cost $7.00 each and children tickets cost $2.00 each. The student council made $500.00 from the ticket sales.
Now, 7x + 2y = 500 ................. (i)
They sold a total of 125 tickets:
x + y = 125 .......... (ii)
Solving these two equations we get:
7x + 2y = 500
2x + 2y = 250
5x = 250
or, x = 50
putting the value of x we get:
50 + y = 125
or, y = 75
To know more about equations refer to:
https://brainly.com/question/25976025
#SPJ1
.
can you tell me all of them
The shape is a triangular prism and the volume of the shape is 45 ft^3.
What is the triangular prism?A triangular prism is a 3-dimensional shape with two parallel triangular bases and three rectangular sides connecting the bases. It has six faces and nine edges in total.
The volume of the triangular prism is;
V = 1/2(b * h * l)
b = base
h = height
l = length
V = 0.5 (6 * 3 * 5)
= 45 ft^3
Thus, we can see that the kind of shape that have been modelled in the image has six faces and corresponds to the triangular prism with a volume of 45 ft^3.
Learn more about triangular prism:https://brainly.com/question/24046619
#SPJ1
Liam earned $30 for mowing his neighbor's lawn 6 times. If Liam charged the same rate and earned $35, how many times did he mow his neighbor's lawn? Use a unit
Answer:
7
Step-by-step explanation:
30÷6=5
$5 per mow
35÷5=7
7
Dani i collecting rainwater in a 1-litre jug. On Monday, he collect 220 ml of water. On Tueday, he collect a quarter of a litre of water. At the end of Wedneday, Dani ee he only need another 0. 1 litre until her jug i full. How much water did Dani collect on Wedneday?
Dani collecting rainwater in a 1 litre jug. So much water did Dani collect on Wedneday is 530 ml.
How much water did Dani collect on Wedneday?These are the specified parameters:
Monday = 220 ml
Tuesday = 1/4 litre
Wednesday = 0.1 litre
Fill the jug = 1 liter
A lot of water that has not been collected
= Fill the jug - (monday + tuesday + wednesday)
= 1 litre - (220 ml + 1/4 litre + 0.1 litre)
= (1 × 1000) ml - (220 ml + (1/4 × 1000) ml + (0.1 × 1000) ml)
= 1000 ml - (220 ml + 250 ml + 100 ml)
= 1000 ml - 570 ml
= 430 ml
Much water did Dani collect on Wedneday
= 0.1 litre + 430 ml
= 100 ml + 430 ml
= 530 ml
Learn more about the conversion here:
brainly.com/question/27817177
#SPJ4
What is the measure of∠ b ?
The measure of angle B from the given hexagon ABCDEF is 108°.
What is hexagon?In geometry, a hexagon or sexagon is a six-sided polygon or 6-gon creating the outline of a cube. The total of the internal angles of any simple hexagon is 720°.
In the given hexagon ABCDEF, ∠A=170°, ∠C=133°, ∠D=102°, ∠E=117° and ∠F=90°.
Here, ∠A+∠B+∠C+∠D+∠E+∠F=720°
170°+∠B+133°+102°+117°+90°=720°
612°+∠B=720°
∠B=720°-612°
∠B=108°
Therefore, the measure of angle B from the given hexagon ABCDEF is 108°.
Learn more about the hexagon here:
https://brainly.com/question/3295271.
#SPJ1
Evaluate.
Remember Order of Operations!
(PEMDAS)
2+16÷2²-3×2
In two or more complete sentences, identify the parent function, and describe the transformations that were applied to obtain the graph, f(x) - 2x + 6-2
The transformations that were applied to obtain the graph will be Multiply by 4 and Shift the function 3 units downwards and 6 units left.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
f(x) = √(2x + 6) - 3
The parent function is given as,
f(x) = √x
Multiply by 4, then we have
f(x) = 4√x
f(x) = √2x
Shift the function 3 units downwards and 6 units left.
f(x) = √(2x + 6) - 3
The transformations that were applied to obtain the graph will be Multiply by 4 and Shift the function 3 units downwards and 6 units left.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
The complete question is given below.
Please help!
Question:
The space Needle is 605 feet tall. A model of the building is 15 inches tall. What is the ratio of the height of the model to the height of the actual Space Needle?
Answer Choices:
A- 12:484
B- 1:484
C- 484:12
D- 484:1
Answer:
The ratio they are asking for is Model height to actual height. Rewritten that is:
Model Height: Actual Height
So the ratio after plugging in numbers is;
15:605
Ratios can be simplified by dividing both sides.
Both numbers are divisible by 5.
Therefore the ratio is;
3:121
(this is the simplest form of the ratio because 121
is not evenly divisible by 3)
Now, that is not an answer you can select,
however you can also multiply both sides by theKalius Call be simple by uviuiny po siues. Both numbers are divisible by 5.
Therefore the ratio is;
3:121
(this is the simplest form of the ratio because 121 is not evenly divisible by 3)
Now, that is not an answer you can select, however you can also multiply both sides by the same number. Take 4 for example (I'm choosing 4 because 3*4=12)
12:484
Abigail i 15 year old and Cynthia i 27 year old. How many year ago wa Cynthia twice wa old a Abigail?
Cynthia was twice as old as Abigail 3 years ago.
Let x be the number of years ago when Cynthia was twice as old as Abigail
If Abigail is 15 years old and Cynthia is 27 years old today, then "x" years ago, the algebraic expression that represents their age was"15 - x" and "27 - x", respectively.
If "x" years ago, Cynthia was twice as old as Abigail, then the equation will be
27 - x = 2(15 - x)
Simplify the equation and solve for the value of x.
27 - x = 30 - 2x
x = 3
Therefore, 3 years ago, Cynthia was twice as old as Abigail.
Learn more about algebraic expression and equation here: brainly.com/question/4344214
#SPJ4
The sum of twice an angle and it’s supplement is 253. Find the angle
The required measure of an angle is 73 degrees which supplement is 253.
What are supplementary angles?The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.
The supplement of an angle is equal to 180 degrees minus the angle.
So if we call the angle "x", we can set up an equation as follows:
2x + (180 - x) = 253
Simplifying the equation:
x = 253 - 180
Apply the subtraction operation, and we get
x = 73
So the angle is 73 degrees.
Learn more about supplementary angles here:
brainly.com/question/3027144
#SPJ1
Which expression is equivalent to
x2 − 2x − 5
x − 3
?
A) x − 5 −
20
x − 3
B) x − 5 −
10
x − 3
C) x + 1 −
8
x − 3
D) x + 1 −
2
x − 3
The expression which is equivalent to x² - 2x -5 /x-3 from the following is x+1 - 2/x-3.
When working with fractions, the numerator and denominator are crucial in mathematics. That fraction, as we all know, indicates a numerical value that identifies the components of a whole. If a number must be divided into five pieces, it is denoted by the symbol p/5. In this case, the fraction p/5 denotes the fifth of the integer p. The numerator will be on the left if the fraction's line component is inclined.
The denominator of a fraction is the fraction's divisor. The number or integer that appears in a fraction below the horizontal line is known as the denominator. whereas in a fraction, the numerator is above the line. A denominator cannot have a value of zero because that would yield an indefinite value.
Learn more about Expressions:
https://brainly.com/question/29582897
#SPJ4
A quilter created the following shape to use in a block for a new quilt.
A six-sided figure with a large base of 16 inches. The side to the right of the base is 9 inches. The small side parallel to the base is 6 and two fifths inches. There are two sides that form a point at a right angle. The smaller is 6 inches, and the larger is 7 and one-half inches.
HELP ASAP!!!
What is the area of the shape for the quilt block?
ninety-four and one half in2
one hundred sixty-six and one half in2
189 in2
333 in2
The area of the shape for the quilt block is approximately 189 square inches.
How did we get the value?To find the area of the shape, we'll need to first find the area of the right triangle formed by the two sides that form a right angle, and then add that to the area of the parallelogram formed by the base and the side parallel to it.
The area of a right triangle can be found by multiplying the base by the height and dividing by 2, so the area of the right triangle with a base of 6 inches and height of 7.5 inches is:
(6 x 7.5) / 2 = 22.5 square inches
The area of a parallelogram is found by multiplying the base by the height, so the area of the parallelogram with a base of 16 inches and a height of 6.4 inches (6 and two fifths inches) is:
16 x 6.4 = 102.4 square inches
Adding the area of the triangle and parallelogram gives us the total area of the shape:
22.5 + 102.4 = 124.9 square inches
So, the area of the shape for the quilt block is approximately 189 square inches.
learn more about area of a quilt shape: https://brainly.com/question/12299577
#SPJ1
Answer: C
Step-by-step explanation:
I got it correct on the test
please answer thanks
Step-by-step explanation:
This is a question where everyone's answer will be different. Here's my example answer.
Two goals for me:
A used car (2011 Honda Pilot is $11500)
A diamond necklace (14k white gold from Jared is $11900)
The used car would be a need because it would be my only way to get to work and school
The diamond necklace would be a want because I don't need it to stay alive and we'll, just to look good
Christy went jogging on a saturday. The table shows how far she had jogged after various times. distance (miles) 4.5, 7.5, 10.5. Time (hours) 0.75, 1.25, 1.75. Did christy run the same pace from when she began until she reached 7.5 miles?
Yes, Because the paces are 6 miles/hour.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
Christy went jogging on a saturday. The table shows how far she had jogged after various times.
Now, Based on the given table;
⇒ 4.5 ÷ 0.75
⇒ 6
⇒ 7.5 ÷ 1.25
⇒ 6
Thus, She ran the same pace at 6 miles/hour.
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ1
Children 12 and under eat free at a local retaurant. If x repreent age, write an inequality to repreent the age of people who do not get a dicount
At a local eatery, children who is 12 or under 12, eat free. The inequality for non-discounted people is x > 12.
The inequality to represent people who do not get a discount at the local restaurant is x > 12. This means that any person who is older than 12 years old will not receive a discount, as only those who are 12 years old or younger are eligible for the "Children 12 and under eat free" offer.
The inequality uses the greater than (>) symbol to indicate that the value on one side of the equation (x) must be greater than the value on the other side (12) in order for the inequality to be true. In this case, if a person's age (represented by x) is greater than 12, they do not receive the discount and have to pay full price for their meal.
This question should be provided as follows:
Children 12 and under eat free at a local restaurant. If x represents age, write an inequality to represent the age of people who do not get a discount.
Learn more about inequality here: brainly.com/question/24372553
#SPJ4
What does rounded to the nearest degree mean?
Answer: Rounding degrees is similar as to answering decimals. How ever, there is 60 minutes in a degree. If the numbers is less than 30, you round down to the nearest degree, and if its 30 or up, you round up to the nearest degrees.
Which i an example of a demand account?
aving account
invetment account
credit account
checking account
Saving account is an example of a demand account.
What sort of account may you use for Demat?For the purpose of purchasing and selling shares on the stock market, a Trading Account is typically kept in tandem with a Demat Account. One such 3 in 1 Account offered by HDFC Bank combines a trading account with a demat account and a savings account.Having shares and securities in an electronic format is made possible by a demat account. Also known as a dematerialized account, this type of account. Additionally, it is beneficial to retain accurate records of all investments made in bonds, mutual funds, ETFs, and shares in one location.To learn more about demand account refer to:
https://brainly.com/question/10253932
#SPJ4
A recent Boston Mayor's Cup race boasted the largest
number of finishers in the history of the event with
825 finishers, 290 of the finishers were from the
youth division. What percent of the finishers were not
from the youth division? Round your answer to the
nearest tenth of a percent.
The percent of the finishers were not from the youth division is 64.84%
What is percentage ?
Percentage can be defined as the product of ratio of given value, total value and hundred.
Given ,
A recent Boston Mayor's Cup race boasted the largest number of finishers in the history of the event with 825 finishers, 290 of the finishers were from the youth division.
So,
Total = 825 finishers
Who are not form young division = 825 - 290
= 535
So,
The percent of the finishers were not from the youth division
= 535 / 825 * 100
= 0.6484 * 100
= 64.84 %
Therefore, The percent of the finishers were not from the youth division is 64.84%
To learn more about Percentage from given link.
brainly.com/question/29967647
#SPJ1
x^2-sin(x)-0.5 Use Bisection or Fixed Point Iteration to solve for the root of the equation (Tolerance should be < 0.001, you can choose your desired starting value) Please show detailed solution
change the function f(x) and interval a=1/3 , b=1 in above code (remaining same code) in the iteration
clear all;
s=1200;
h=20;
f(x)= x-2^(-x) ;
a=1/3;
b=1;
format long
eps_ abs = 0.000005;
eps_ step = 0.000005;
n=0;
while ((b - a)/2 >= eps_ step || ( abs( f(a) ) >= eps_ abs && abs( f(b) ) >= eps_ abs )&& n~=100 )
n=n+1;
c = (a + b)/2;
if ( f(c) == 0 )
break;
else if ( f(a)*f(c) < 0 )
b = c;
else
a = c;
end
err=abs( (b-a)/2);
end
n
c
err
out put
n = iteration
learn more about of iteration here
https://brainly.com/question/14896131
#SPJ4
Albert combined some grated cheese. He mixed together ⅔ cup cheddar, ⅚ cup mozzarella, and ¾ cup parmesan. How many cups of cheese does Albert have in his mixture altogether?
Albert have 9/4 cups of cheese in the mixture.
What is fraction?Fractions in Math, represent a numerical value that expresses a part of a whole. The whole can be any number, a specific value, or a thing.
Given,
Amount of cheddar = 2/3 cup
Amount of mozzarella = 5/6 cup
Amount of parmesan = 3/4 cup
Total cups of cheese
= cheddar + mozzarella + parmesan
= 2/3 + 5/6 + 3/4
= 8 + 10 + 9 /12
= 27/12
= 9/4
There is 9/4 cups of cheese in the mixture.
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ1
find the root of the question:
The root of the expression is 3/4
What are index forms?The index form of a number can be described as that number written in the nature of an exponential expression.
They are also forms that are written as a single numbers raised to another number.
Exponents explains the number of times to multiply the base of by itself to simply or evaluate the expression.
Note that the cube root of a number is the value which when multiplied by itself thrice gives the original value.
Given the expression;
[tex]\sqrt[3]{\frac{27}{y} }[/tex]
Find the cube root
3/4
Hence, the value is 3/4
Learn about cube root on:
https://brainly.com/question/24486461
#SPJ1
In ΔFGH, f= 67 inches, m∠G=66° and m∠H=30°. Find the length of g to the nearest inch
Answer:
62
Step-by-step explanation:
Use the Law of Sines: sinA/a = sinB/b = sinC/c, where A, B, and C are the angles and a, b, and c are the sidelengths opposite of their corresponding angles.
If angle G = 66 and angle H = 30, then angle F = 180-66-30 = 84 degrees.
Therefore sin84/67 = sin66/g.
Multiple both sides by g and divde by sin84/7 to get
g = sin66/(sin84/67) = 61.5... which is about 62 inches.