The required 7/8 is equal to 14/16, or we can write 7/8 = 14/16.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.
Here,
To compare 7/8 and 14/16, we can first convert both fractions to a common denominator. The least common multiple of 8 and 16 is 16, so we can convert 7/8 to 14/16 by multiplying both the numerator and denominator of 7/8 by 2,
7/8 = (7 × 2) / (8 × 2) = 14/16
Now we can see that both fractions have the same denominator, so we can compare their numerators directly:
7/8 = 14/16
Therefore, 7/8 is equal to 14/16, or we can write 7/8 = 14/16.
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Jan has 3 1/3 feet of rope to use on a camping trip. Assume 1 foot = 30.48 centimeters. What is the best estimate of the centimeters of rope Jan has?
Geometry
Given triangle ABC with coordinate A(-2,5),B(-2,2) and C(-4,1) and it’s image A’B’C’ with A’(2,1), B’(-1,1) and C’(-2,-1), find the line of reflection.
The line reflection is at y= __
Solve for the roots in the equation below...
x^3 - 27 = 0
Vincent has cut three pieces of rope to complete a science project. two pieces are of equal length. the third piece is one-quarter the length of each of the others. he cut the three pieces from a rope 54 meters long without any rope left over. find the number of meters in each piece.
Decide which of the two points lies on the graph of the line
2x-5y=-14
A. 2,-2
B. -2,2
The Ukita family from Japan probably has a greater ecological footprint than the Wu family from China.
True
False
Answer:
True
Step-by-step explanation:
If you look at the different countries ranked based off of the size of their ecological footprint, you will see that Japan is ranked around 5 and china around 10.
This means The average ecological foot print of a person living in Japan is larger than a person living in China.
What is the slope of a line that is parallel to the line represented by the equation 3x + 4y = 12?
Answer:
- 3/4
Step-by-step explanation:
this answer is correct
A square has an area of 49 units what is the length of each side
PLEASE HELP
Mrs. Williams is deciding between two field trips for her class. The Science Center charges $80 plus $5 per student. The Dino Discovery Museum simply charges $7 per student. For how many students will the Science Center charge less than the Dino Discovery Museum charges?
fewer than 40 students
78 or fewer students
78 or more students
more than 40 students
Please help, will give brainliest if you explain
Which ordered pairs are solutions to the following inequality?
(the < has a line under it)
2y - x < -6
Select EACH correct answer
a) (1,-4)
b) (2,-2)
c) (-3,0)
EXPERTS/ACE ONLY!! explain! Ill mark as brainlist!!
The weekly revenue for a company is r equals negative 3 p squared plus 70 p plus 988r=−3p2+70p+988, where p is the price of the company's product. use the discriminant to find whether there is a price for which the weekly revenue would be $18001800.
Elian bought 1.87 pounds of chicken and 2.46 pounds of turkey at the deli about how much meat did he buy altogether
The total meat Elian bought is 4.33 pounds.
What are some alternative names for arithmetic operations?Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
Given, Elian bought 1.87 pounds of chicken and 2.46 pounds of turkey at the deli.
∴ The total meat Elian bought is the sum of pounds of chicken bought and pounds of turkey bought.
= (1.87 + 2.46) pounds.
= 4.33 pounds.
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An arithmetic series contains 20 numbers. The first number is 102. The last number is 159. Which expression represents the sum of the series?
Answer:
It's B
Step-by-step explanation:
20(102+159/2)
Classify the variable according to the set of numbers that best describes its values, the amount of money m spent is a vending machine. The answers I can chose are. A rational numbers, B Irrational numbers, C integers, D natural numbers
The variable will be a natural number according to the set of numbers that best describes its values, the amount of money m spent is a vending machine option (D) is correct.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that:
The amount of money m spent is a vending machine.
As we know, in the vending machine we cannot insert money in negative quantity.
And integers range from (-∞, ∞)
The real number starts from 1 and continues 2, 3, 4,5 ,6 and so on
Thus, the variable will be a natural number according to the set of numbers that best describes its values, the amount of money m spent is a vending machine option (D) is correct.
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Antoine is graphing the total number of prizes needed, P, based on the number of entries in a contest, E. He knows that for every 10 entries, he will need 1 prize, and he would like for his graph to show the total number of prizes needed for 100 and 150 entries. Select from the drop-down menus to correctly complete each statement.
To best show this information, the scale for the P-axis of his graph should go from 0 to at least ___ , and the E-axis of his graph should go from 0 to at least ___.
Your garden is in the shape of a trapezoid. The width is 2 feet. The parallel bases are 4 feet and 6 feet. What is the area of your garden?
Answer:
10 square feet
Step-by-step explanation:
The explanation is in the picture below.
Your welcome :)
What are the coordinates of the vertices of the triangle under the translation (x, y) mc014-2.jpg (x - 1, y - 3)?
(-4, 5), (0, 0), (4, 5)
(0, -8), (-1, -1), (-5, -4)
(5, -4), (0, 0), (5, 4)
(-8, 0), (-1, -1), (-4, -5)
After applying the translation (x - 1, y - 3), the vertices of the triangle originally at (-4, 5), (0, 0), and (4, 5) will move to new locations (-5, 2), (-1, -3), and (3, 2).
Explanation:The question is about translation in mathematics, specifically in geometry. A translation is a function that moves every point a constant distance in a specific direction. If we have a point at coordinates (x, y), a translation of the form (x - a, y - b) will shift that point a units to the left and b units down:
The point (-4, 5) will shift to (-4 - 1, 5 - 3) = (-5, 2)The point (0, 0) will shift to (0 - 1, 0 -3) = (-1, -3)The point (4, 5) will shift to (4 - 1, 5 - 3) = (3, 2).So, the vertices of the triangle after the translation (x - 1, y - 3) will be (-5, 2), (-1, -3), and (3, 2).
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A triangle has one angle that measures 15 degrees, one angle that measures 44 degrees, and one angle that measures 121 degrees. what kind of triangle is it
The given triangle can be known as a scalene triangle.
What is a triangle?A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.
The measures of the different angles are given as 15°, 44° and 121° respectively.
Since, all the angles have different measures.
The given triangle is neither equilateral or isosceles.
Thus, the given triangle is scalene triangle.
Hence, the given triangle can be called as a scalene triangle.
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In ∆ABC, the median AM (M ∈ BC ) is perpendicular to the angle bisector BK (K ∈ AC ). Find AB, if BC = 12 in.
Answer:
The answer is 6 inches
Step-by-step explanation:
Since the angle is isosceles, angle A and angle B have the same measure,
The sum of the angles of any triangle is 180°.
So 2 times the measure of angle B plus 120° = 180°, then the equation:
Solving for x we get:
Now we use the law of sine on the triangle BMC like this:
Solving for BC we get :
We apply the law of sin again on the isosceles triangle ABC like this:
Solving for AB we get:
6 inches
Answer:
Answer:
The answer is 6 inches
Step-by-step explanation:
Since the angle is isosceles, angle A and angle B have the same measure,
The sum of the angles of any triangle is 180°.
So 2 times the measure of angle B plus 120° = 180°, then the equation:
Solving for x we get:
Now we use the law of sine on the triangle BMC like this:
Solving for BC we get :
We apply the law of sin again on the isosceles triangle ABC like this:
Solving for AB we get:
6 inches
Read more on Brainly.com - https://brainly.com/question/6638938#readmoreStep-by-step explanation:
There is a line whose slope is 5 and whose y intercept is 7 what is its equation in slope intercept form ?
Write your answer using integers proper fractions and improper fractions in simplest form
The equation of the line with a slope of 5 and a y-intercept of 7 is y = 5x + 7.
Explanation:The equation of a line in slope-intercept form is given as y = mx + b, where m is the slope of the line and b is the y-intercept. Given that the slope (m) is 5 and the y-intercept (b) is 7, the equation of the line can be written as y = 5x + 7. This equation tells us that for every increase of 1 on the x-axis, the value of y rises by 5 units, and the line crosses the y-axis at the point (0, 7).
Yuki has a ribbon that is 11 1/4 feet long. She divides it into pieces that are each 1 7/8 feet long. She uses three piece to make a bow. How many bows can she make in all?
A rate for internet acess is $5 per month plus $0.25 per hour of use. write a function rule to show how the monthly bill depends on the number of hours used. if you spend one hundred and twenty-two horus in a month, how much will the monthly bill come to
Answer:
Its A o.22
Step-by-step explanation:
Between which weeks was the change in money earned the greatest?
Which expression can be used to convert 80 US dollars (USD) to Australian dollars (AUD)?
1 USD = 1.0343 AUD
1 AUD = 0.9668 USD
how many x-intercepts does the graph of the given equation have?
y= -4x^2+3x-2
a.none
b. one
c. two
D. Three
125 square yards to square meters (to the nearest tenth)
Twelve pennies are arranged in a row on a table every other coin is replaced with a nickel then every third coin is replaced with a dime finally every fourth coin is replaced with a quarter what is the total value of the coins on the table?
Final answer:
The sequence of substitutions of the coins on the table results in a final arrangement of coins with a total value of 121 cents or $1.21. This problem combines sequence patterns with coin values to find the total.
Explanation:
We have a problem involving a series of substitutions of coins, and we need to calculate the total value of the coins on the table after these substitutions. We start with 12 pennies, which are initially worth 1 cent each.
Step 1: Every other coin is replaced with a nickel, so we replace every 2nd penny with a 5-cent coin (nickel). The sequence starts with a penny (P), so the even positions will now be nickels (N). The sequence now looks like P, N, P, N, P, N, P, N, P, N, P, N.
Step 2: Every third coin is replaced with a dime, which is worth 10 cents. This means the 3rd, 6th, 9th, and 12th positions will now be dimes (D). The sequence becomes P, N, D, N, P, D, P, N, D, N, P, D.
Step 3: Every fourth coin is replaced with a quarter, which is worth 25 cents. Positions 4, 8, and 12 are affected. The sequence is now P, N, D, Q, P, D, P, Q, D, N, P, Q.
Let’s calculate the total value of the coins:
6 Pennies (P): 6 * 1 cent = 6 cents
2 Nickels (N): 2 * 5 cents = 10 cents
3 Dimes (D): 3 * 10 cents = 30 cents
3 Quarters (Q): 3 * 25 cents = 75 cents
Adding all these values together: 6 cents + 10 cents + 30 cents + 75 cents = 121 cents or $1.21.
This problem requires understanding of sequence patterns and knowledge of United States coin values to determine the total value of the coins.
Write an equation of the line that passes through (2, 7) and (0, −5)
y=
Heterogeneous mixtures can be physically separated into their individual components.
True
False
True because their different