2 people are going to equally share 5 kg, of chocolate. how many kilograms of chocolate should each person get?
5 kilograms divided by 2 is 2.5 kilograms
Decide which of the two points lies on the graph of the line
X+y=6
A. 2,2
B. 5,1
There are 180 pages in the book Diana is reading. Diana has read 90 pages. What percent of the book has she read?
Explain how the common difference in an arithmetic sequence is like the slope of a linear function. read more >>
Jaime had $37 in his bank account on Sunday. The table shows his account activity for the next four days. What was the balance in Jaime’s account after his deposit on Thursday?
Think about what you have learned about parallel and perpendicular lines. In what profession might a person rely upon this information? Describe how that person would apply these concepts.
A painter uses 1.2 liters of the paint to cover 1m2 of the wall. How many square meters he can cover with (1)12 liters; (2)6.6 liters; (3)4.8 liters of paint?
Answer:
He can cover 10 sq. meters using 12 liters, 5.5 sq. meters using 6.6 liters, and 4 sq. meters using 4.8 liters of paint.
Step-by-step explanation:
1. 12 LITERS/ 1.2 LITERS = 10 SQ. METERS
2. 6.6 LITERS/ 1.2 LITERS = 5.5 SQ. METERS
3. 4.8 ITERS/ 1.2 LITERS = 4 SQ. METERS
Sheldon bought a $20 book at a 35% discount. He wrote an expression to find the discounted price. 20−0.35(20) Which expression is equivalent to discounted price Sheldon paid?
A (1−0.35)20
B (1+0.35)20
C (20−0.35)20
D 20+0.35(20)
The equivalent expression to '20 - 0.35(20)', which represents the discounted price Sheldon paid for a book, is '(1 - 0.35)20', or option A.
Explanation:The expression 20−0.35(20) represents the original price of the book Sheldon bought minus the 35% discount. The expression states that Sheldon is taking 35% of $20, which is the book's original price, then subtracting that amount from $20 to find the discounted price he paid.
This operation can be rewritten as multiplication by factoring out the $20 from the expression. Hence, the equivalent expression is (1−0.35)20, representing 65% of the original cost (or the amount Sheldon pays after the discount). Therefore, the answer is A.
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The sum of two numbers is 32. the larger number is one less than twice the smaller number. find the numbers.
To find the two numbers, we set up a system of equations and solve for the variables using substitution.
Explanation:To solve this problem, we can set up a system of equations. Let's call the smaller number 'x' and the larger number 'y'. We know that the sum of the two numbers is 32, so our first equation is x + y = 32.
We are also given that the larger number is one less than twice the smaller number. This can be written as y = 2x - 1. Now we have two equations:
x + y = 32y = 2x - 1We can solve this system of equations by substitution or elimination. Let's use substitution:
Starting with the second equation, we can substitute y with its value from the first equation:
2x - 1 = 32 - x
Now we can solve for x:
3x = 33
x = 11
Substituting this back into the first equation, we can find the value of y:
11 + y = 32
y = 21
Therefore, the smaller number is 11 and the larger number is 21.
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How many complex roots does the polynomial equation have?
−3x^4−7x+17=0
2
3
4
5
A red candle is 8 inches tall and burns at a rate of 710 inch per hour. a blue candle is 6 inches tall and burns at a rate of 15 inch per hour. after how many hours will both candles be the same height? enter your answer in the box.
Answer:
5 hour
Step-by-step explanation:
A fisherman yanks a fish vertically out of the water with an acceleration of 2.5! !! using very light fishing line that has a breaking strength of 22 n. the fisherman unfortunately loses the fish as the line snaps. what can you say about the mass of the fish?
Two forces act on the fish, and these are:
1) Its weight mg, downwards and
2) pressure in the string, T, upwards which is 22 N when the string breaks.
In the result of these two forces, the fish had an acceleration of 2.5 m/s^2 in
the upward way.
So, T - mg = m*2.5
=> m = T / (2.5 + g)
=> m > 22 / (2.5 + 9.8) ( when the string snaps )
=> m > 1.79 kg.
As a result, the mass of the fish is more than 1.79 kg as the line has been broken.
Considering Newton's second law of motion and the given parameters of force and acceleration, the fish that caused the fishing line to snap would have a mass of approximately 1.76 kg.
Explanation:In order to find out the mass of the fish in this scenario, we need to consider the principles of Newton's second law of motion, which states that the force exerting on an object is equal to the mass of the object multiplied by its acceleration (F=ma).
In this case, the force before the fishing line breaks is 22 N (Newtons), and acceleration due to gravity is 10 m/s² approximately. But as the fish is pulled out with an acceleration of 2.5 m/s², we consider total acceleration to be (10+2.5) m/s² = 12.5 m/s².
Making these substitutions into Newton's law, we will solve the equation to 22 N = m* 12.5 m/s², yielding the mass of the fish m = 22 N / 12.5 m/s² = 1.76 kg
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WHAT IS 9.24 DIVIDE BY 15.4
what number must you add to complete the square? x^2+6x=15
Final answer:
To complete the square for the equation [tex]x^2 + 6x = 15,[/tex] you must add 9 to both sides to form the perfect square [tex]trinomial (x + 3)^2 = 24.[/tex]
Explanation:
To complete the square for the equation [tex]x^2 + 6x = 15,[/tex]we need to add a number to both sides of the equation to form a perfect square trinomial on the left side.
Completing the square involves taking half of the linear coefficient (6), squaring it, and adding that value to both sides. Since half of 6 is 3, and 3 squared is 9, we must add 9 to both sides of the equation.
Therefore, our new equation would be[tex]x^2 + 6x + 9 = 15 + 9[/tex] , which simplified to [tex](x + 3)^2 = 24.[/tex]
EXPERTS/ACE OR PEOPLE THAT KNOW IT QUICK PLZ. !!
Find an equation for the horizontal line that passes through the point (10 , -13 )
The product of 19 and a number , subtracted from the reciprocal of the number cubed
Final answer:
The expression for the product of 19 and a number, subtracted from the reciprocal of the number cubed, is represented as (1/x)³ - 19x. It involves finding the product of 19 and a variable, taking the reciprocal of the variable, cubing it, and then performing the subtraction.
Explanation:
The original question is asking for the expression of a mathematical operation involving a variable and its reciprocal raised to a power. Specifically, the operation is the product of 19 and a number, subtracted from the reciprocal of the number cubed. When constructing this expression, we denote the unknown number as x and perform the following steps:
Identify the product of 19 and x, which is 19x.
Find the reciprocal of x, which is 1/x.
Cube the reciprocal of x to get (1/x)³.
Subtract the product of 19 and x from the cubed reciprocal to get the final expression (1/x)³ - 19x.
This expression represents the mathematical relationship detailed in the question. To simplify or evaluate this expression, additional information about the value of x would be required.
Which postulate or theorem can be used to prove that △ABD≅△CBD?
ASA Congruence Postulate
SAS Congruence Postulate
SSS Congruence Postulate
HL Congruence Theorem
Answer:
SAS
Step-by-step explanation:
If ST=3x, TU=7x, and SU=10, what is ST?
Final answer:
To find the value of ST, we set up the equation 3x + 7x = 10, solve for x, and then calculate ST as 3(1), which gives us ST = 3.
Explanation:
The student is asking to solve for ST, given that ST=3x, TU=7x, and SU=10. This is a segment addition problem, where ST and TU make up the whole segment SU. To solve it, you would first set up the equation ST + TU = SU. Substituting the given values, we get:
3x + 7x = 1010x = 10x = 1After finding the value of x, we substitute it back into the expression for ST:
ST = 3xST = 3(1)ST = 3So, the segment ST is 3 units long.
write a linear factorization of the function. f(x) = x4 + 49x2
Answer:
f(x) = [tex]x^2 (x + 7i)(x - 7i)[/tex]
Step-by-step explanation:
The given function is f(x) = [tex]x^4 + 49x^2[/tex]
Here x^2 is a common factor, so we take out and write the remaining term inside the parenthesis.
f(x) = [tex]x^2 (x^2 + 49)[/tex]
f(x) = [tex]x^2 (x^2 - (7i)^2)[/tex] [Here i^2 = -1]
We know that a^2 - b^2 = (a +b)(a-b) using this identity, we get
f(x) = [tex]x^2 (x + 7i)(x - 7i)[/tex]
Hi can I find the missing coordinates of this parallelogram ?
Which of the following sets of angles are congruent by the Alternate Interior Angles Theorem?
1. Angle A is congruent to Angle C
2. Angle CDE is congruent to Angle ABE
3. Angle AED is congruent to Angle CEB
4. Angle BAC is congruent to Angle CDB
The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
Explanation:The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
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Which best describes the effect on f (x) = 2x - 5 if the slope changes to 10?
What percent of 95 equals 76
What is the sum of the first five prime numbers?
____ regular polygons are symmetrical.
A) Even- sided
B) Odd- sided
C) Rectangular
D) All
Answer:
Step-by-step explanation:
We have to find which type of Regular Polygons are symmetrical.
Regular Polygons are the polygons whose all sides and angles are equal.
For ex:- Equilateral triangle is a regular triangle as its all sides are equal and all angles are equal to 60°.
Square is a regular quadrilateral whose all sides are equal and all angles are equal to 90°.
Option A:
Even-sided regular polygons are the polygons whose no of sides is an even no.
ex, quadrilateral with 4 side, hexagon with 6 sides.
They are symmetrical which no of line of symmetry equal to no of side.
Option B:
Odd-sided regular polygons are the polygons whose no of sides is an Odd no.
ex, Triangle with 3 side, pentagon with 5 sides.
They are symmetrical which only 1 line of symmetry.
Option C:
Rectangular regular polygons are also symmetrical.
Therefore, Option D is correct .i.e., ALL regular polygons are symmetrical.
three times a number is three more than twice the number which equation can be used to find the value of X the unknown number
Answer:
3x = 2x + 3.
Step-by-step explanation:
In the question it has been given that three times a number is three more than twice the number.
Let the number is x.
Then by the given statement 3x = 2x + 3
So equation formed can be used to find the value of x
3x - 2x = 3
x = 3
Therefore, the number is 3 and equation to be solved for x is 3x = 2x + 3.
Please help me with question
Max rented a motorbike at $465 for 5 days. If he rents the same motorbike for a week, he has to pay a total rent of $625.
Write an equation in the standard form (Ax + By = C) to represent the total rent (y) that Max has to pay for renting the motorbike for x days.
What do you get when you cross the Atlantic with the titanic
Titanic is no longer in existence, as it sank over a century ago and currently rests on the ocean floor.
If you are referring to combining the Atlantic Ocean with the Titanic, it would simply mean that the Titanic is traveling across the Atlantic Ocean.
The Titanic was a famous British passenger liner that sank in the North Atlantic Ocean on April 15, 1912, after hitting an iceberg during its maiden voyage from Southampton to New York City.
So, crossing the Atlantic with the Titanic would describe the journey of the Titanic as it sailed across the Atlantic Ocean.
However, it's important to note that the Titanic is no longer in existence, as it sank over a century ago and currently rests on the ocean floor.
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