Suppose that you have a stack of pennies. If you want to know without counting whether there is an odd or even number of pennies, then you have to split them into two parts, for example, placing one coin left and one coin right.
If the number of pennies is even, then no coins will left, if the number is odd, then one coin will be extra.
help wit the last 2... pic
what is the answer to a/164363 -10 = 10
25 exponent 9 is grewter then (5 exponent 4) and a exponent 2 next to the parentheses
What transformation is represented by the rule (x, y)→(−y, x)?
A. reflection across the x axis
B. rotation of 90 degrees clockwise about the origin
C. reflection across the y axis
D. rotation of 180 degrees about the origin
Answer:
The answer is D, an 180 rotation about the origin
Step-by-step explanation:
I just did the test and got it right :)
order greatest to least for the following 2.007, 2.714, 2.09, 2.97
In the recent year, 26.6% of all registered doctors were female. If there were 54,200 female registered doctors that year, what was the total number of registered doctors? Round the answer to the nearest whole number.
a backpack manufacturer produces an internal frame pack and an one hour and let y represent the number of external frame packs produced in one hour.Then the inequalities x+3y<=18,2x+y<=16,x>=0 and y>=0 describe the constraints for manufacturing both packs.Use the profit function f(x,y)=50x+80y and the constraints given to determine the maximum profit for manufacturing both packpacks for the given constraints
The maximum, 1280, occurs at (0,16).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The inequality is,
x + 3 < 18
x < 15
And,
2x + y < 16
y < - 2x + 16
Now, you can see the constraint, x + 3 < 18 doesn't even enter into calculating the feasible region because the constraint, 2x + y < 16 really identifies the region.
Now, We can Check the value of the function at the three vertices as:
At (0,0):
f(x, y) = 50x + 80y = 0
At (8, 0);
f(x, y)=50x+80y
f (8, 0) = 400
At (0, 16);
f(x, y ) = 50x+80y
f (0, 16) = 1280
Thus, The maximum, 1280, occurs at (0,16).
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2m-2x=x+n. solve for x.
Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per minute. Malory leaves her house at 12:20 p.m. and walks at 90 steps per minute. At what time will Malory's steps catch up to Dori's steps?
6,700 rounded to nearest thousand
A fish market bought two swordfish at a rate of $13 per pound the cost of the larger fish was 3 times as great as the cost of the smaller fish the total cost of the two fish was $3,952 how much did each fish weigh
Which of the following shows the factors of 2y^2 - 2y - 4? Select one of the options below as your answer: A. (2y - 4)(y - 1) B. (2y - 4)(y + 1) C. (2y - 2)(y - 2) D. (2y - 2)(y + 2)
I need some help plz!
Enter in the missing numbers to create equivalent ratios.
2:5
Blank:10
6: Blank
Blank:25
Cara likes candles. She also likes mathematics and was thinking about using algebra to answer a question that she had about three of her candles. Her taller candle is 16 centimeters tall. Each hour it burns makes the candle lose 2.5 centimeters in height. Her short candle is 12 centimeters tall and loses 1.5 centimeters in height for each hour that it burns. Cara’s middle candle is 15 cm tall and burns at a rate of 2.25 centimeters in height for each hour that it burns. When will all candles be the 6cm tall?
All three candles will be 6 centimeters tall after 4 hours of burning.
To determine when all three candles will be 6 centimeters tall, we can set up equations for each candle and solve for the time it takes to reach the desired height.
For the taller candle, we can set up the equation:
16 - 2.5t = 6,
where t represents the number of hours.
Similarly, for the shorter candle:
12 - 1.5t = 6.
And for the middle candle:
15 - 2.25t = 6.
Simplifying each equation, we have:
-2.5t = -10,
-1.5t = -6,
-2.25t = -9.
Solving for t in each equation, we find:
t = 4 for the taller candle,
t = 4 for the shorter candle,
t = 4 for the middle candle.
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the table shows how far four students walked in 5 minutes. how far did they walk together. 3/4, 1/2,2/3,3/4.
To find the total distance walked by the four students, add their individual distances together.
Explanation:To find the total distance walked together, you need to add up the distances each student walked. The distances given are represented as fractions. To add fractions, first make sure the denominators are the same. In this case, the denominators are already the same, so you can add the numerators together. So, 3/4 + 1/2 + 2/3 + 3/4 = 15/12.
Simplify the resulting fraction by finding the greatest common divisor of the numerator and the denominator, which is 3. Divide both the numerator and denominator by 3 to get the final answer: 15/12 ÷ 3/3 = 5/4.
Therefore, the students walked a total distance of 5/4 or 1 1/4.
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what is 9x-7=-7 in two step show your work
9x-7 = -7
step 1 = add 7 to each side
9x = 0
step 2 divide both sides by 9
x = 0/9 = 0
What statement makes the open sentence 1.2 = 3x true?
1.) x = 0.4
2.) x = 1.8
3.) x = 2.5
4.) x = 3.6
I am very confused XD
Also if you could tell me how you got the answer I would appreciate it :)
What is the domain and range of the function shown in the graph?
8 x ( 14 + 7) = ____ + ( 8 x 7)
which statement about the equation is true?
x + 2 = x + 4
a. one solution
b. no solution
c. multiple solutions
Answer:
The correct option is b) no solution.
Step-by-step explanation:
Consider the provided equation,
[tex]x + 2 = x + 4[/tex]
We need to find the solution of the above equation.
Subtract x from both the sides as shown.
[tex]x-x+2=x-x+4[/tex]
[tex]2=4[/tex]
Which is false.
As 2 is not equal to 4.
Hence, the provided equation has no solution.
Thus, the correct option is b) no solution.
A line contains the points (−26, −37) and (−32, −61) . What is the slope of the line in simplified form?
I got -4 for my answer, but I don't know if this is right. Please help!!XD
The slope of the line is "4".
Given:
[tex](x_1 , y_1 )= (-26, -37)[/tex][tex](x_2, y_2) = (-32,-61)[/tex]As we know the formula for finding the slope will be:
→ [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
By substituting the values, we get
→ [tex]= \frac{-61-(-37)}{-32-(-26)}[/tex]
→ [tex]= \frac{-61+37}{-32+26}[/tex]
→ [tex]= \frac{-24}{-6}[/tex]
→ [tex]=4[/tex]
Thus the answer above is right.
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a chinchilla weighs 2 pounds its weight is 1/8 the weight of a koala write an expression and solve it to show how much the koala weights
Shawn wants to model the number 13,450 using base ten blocks how many large cubes flats and longs does he need model the number
Sarah splits five cookies evenly among her 6 friends. Write a fraction to represent the amount of cookies each friend received.
4.30 makeup;40% discount;6% tax equals
how many even numbers are between 32 and 60. (not including 32 & 60)
How do you interpret algebraic expressions in terms of their context?
Final answer:
To interpret algebraic expressions contextually, students should grasp the meaning behind each symbol and the relationships within equations rather than just substituting numbers. Understanding the conceptual basis for equations and checking the reasonableness of solutions aids in developing a deeper comprehension and ability to solve complex problems.
Explanation:
Interpreting Algebraic Expressions
To interpret algebraic expressions in terms of their context, it's essential to understand what each symbol represents within a given problem. Instead of rushing to substitute numerical values for symbols, students should focus on understanding the underlying concepts and relationships that the equation models. For example, consider the equation w = A/h, which relates the width of a rectangle to its area (A) and height (h). Instead of viewing it as a mere formula, recognizing it as a rearranged version of A = wh allows one to comprehend that if the height (h) decreases while the area (A) remains constant, the width (w) must increase. This understanding is crucial when working with equations, as it transforms them from abstract symbols to meaningful representations of physical quantities or logical relationships.
To further contextualize equations, students are encouraged to eliminate unnecessary terms to simplify the algebra, and upon finding a solution, to check if the results are reasonable within the context of the problem. This not only aids in solving the problem correctly but also in developing a deeper intuitive understanding of the subject matter.
In sum, interpreting algebraic equations requires a balance between the abstract manipulation of symbols and the practical reasoning about what these symbols represent in the real world. This applied understanding forms the basis of problem-solving in many scientific and engineering fields and empowers students to tackle more complex problems with confidence.
the larger of two numbers is 10 less than twice the smaller number. If the sum of the two numbers is 38, find the two numbers. Show how you got your answer?
The larger number will be 22 and the smaller number will be 16.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say the larger number is L and the smaller number is s
Given the larger of the two numbers is 10 less than twice the smaller number
So,
L = 2s - 10
And
The Sum of the two numbers is 38
So,
L + s = 38
By substitution
38 - s = 2s - 10
s = 16
By again substitution
L = 2(16) - 10
L = 22
Hence "The larger number will be 22 and the smaller number will be 16".
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eight less than the quotient of a number and 3 is 18
In geometry, how do defined terms and undefined terms relate to each other