The volume of a cube with a side length of x centimeters cannot equal 15 cm³ when x is an integer.
Explanation:The question asks why the volume of a cube with a length of x centimeters cannot equal 15 cm³ when x is an integer. In order to calculate the volume of a cube, we use the formula V = s³, where V represents the volume and s represents the length of a side. If x is an integer, the length of the cube can be any integer value.
However, when we substitute x = 15 into the formula, we find that the volume of the cube would be 15³ = 3375 cm³, which is not equal to 15 cm³. Therefore, the volume of a cube with a side length of x centimeters cannot equal 15 cm³ when x is an integer.
What is 12.5% of 88?
On a coordinate grid, point L is at (−4, 4) and point S is at (8, 4). The distance (in units) between points L and S is ______. Input only whole numbers, such as 2.
Solve the equation 96 - 4.5y - 3.2y = 5.6y + 42.80. Show your work.
On a coordinate grid, both point (3, 5) and point (−2, −4) are reflected across the y-axis. What are the coordinates of the reflected points?
(−3, 5) and (2, 4)
(−3, 5) and (2, −4)
(−3, −5) and (−2, −4)
(3, −5) and (−2, −4)
If three lines intersect at one point, them they are ? coplanar. A) always, B) never, C) sometimes
They would always be coplanar.
Hope this helps!
Zach has two savings accounts with a total of $9,000
A spaceship on a journey between planets would have to recycle as much air and water as possible. Suppose the crew on such a spaceship used 49.35 L of water one day and recycled all but 0.32 L. About what percent of the water was lost?
About nothing% of the water was lost.
(Round to the nearest hundredth as needed.)
Answer:
0.6484
Step-by-step explanation:
Name the property the equation illustrates.
–2.1 • 1 = –2.1
Identity Property of Multiplication
Inverse Property of Multiplication
Multiplication Property of –1
Identity Property of Addition
Solution: The correct option is option first, i.e., [tex]-2.1\cdot 1=-2.1[/tex] by the Identity Property of Multiplication.
Explanation:
The correct option is first option : Identity Property of Multiplication.
Reason for correct option:
According to the identity property of multiplication, the product of a number and the identity element is equal to that number. The identity element for multiplication is 1.
Let x be any real number, then by identity property of multiplication [tex]x\cdot1=x[/tex].
Therefore, [tex]-2.1\cdot 1=-2.1[/tex] by the Identity Property of Multiplication.
Reason for incorrect option:
According to the inverse property of multiplication, the product of number and inverse is equal to 1. In the given equation the result is not 1.
In the given equation the number is multiplied by 1 instead of -1. So, multiplication property of -1 is not the correct answer.
In the given equation multiplication property is used and there is no need of any addition property.
Hence, only first option is correct and [tex]-2.1\cdot 1=-2.1[/tex] by the Identity Property of Multiplication.
There are 12 girls and 18 boys in the class what is the largest number of groups they can split into and have the same number of boys and girls on each team?
What fraction is equivalent to 1/3 using the LCD?
To find a fraction equivalent to 1/3 using the LCD, multiply the numerator and denominator by the same whole number that gives the LCD as the new denominator.
Explanation:To find a fraction that is equivalent to 1/3 using the LCD (Least Common Denominator), we need to find a fraction with the same value but different numerator and denominator. The LCD of 1/3 is 3, so we can multiply the numerator and denominator by any whole number that gives us 3 as the new denominator. For example, multiplying both the numerator and denominator by 2, we get 2/6, which is equivalent to 1/3.
Final answer:
To find an equivalent fraction to 1/3 using the LCD, the fraction itself is already equivalent to 1/3.
Explanation:
To find a fraction equivalent to 1/3 using the least common denominator (LCD), we need to identify the LCD of 1/3. The LCD is the least common multiple of the denominators of the given fractions. In this case, the LCD is 3. Now, we need to express 1/3 with a denominator of 3. To do this, we multiply both the numerator and denominator by 1, resulting in 1/3 × 1/1 = 1/3. Therefore, 1/3 is already equivalent to 1/3.
Ralph opened a savings account with a deposit of $100. Every month after that, he deposited $20 more. Why is the relationship described not proportional?
evaluate the numeric expression of 2+14x5-5
What is the answer
Which of the following represents a statistical question?
"How many people rode the train to work this morning?"
"How long does it take the train to go from the first station to the last station?"
"How many people got on the train at each station?"
"How many people can have a seat on the train?"
The question about the number of people who rode the train to work this morning is a statistical question, requiring data collection and analysis to reveal various statistics such as travel behaviors and the relation between ticket class and travel distance.
The question "How many people rode the train to work this morning?" represents a statistical question because it is likely to result in a variety of different answers and requires the collection and analysis of data to provide an accurate response. Statistical questions are concerned with understanding the distributions, trends, and patterns within collected data. In answering such a question, one would typically construct a table or a tree diagram to organize the data collected.
For example, if we wanted to know the percentage of commuters who travel alone to work, we would need to gather data on various modes of transportation, including trains, and analyze how many commuters use each mode alone. This situation could also relate to how many commuters decided to get on the train at each station on a given morning.
Estimate 13/20-3/10=
How do you solve
3x-3=4x+1
How could i explain 5x198 using mental math and distributive property? Using words??
evaluate 12 - 6 +(14-8)^2
HELP!!
Find the area of a window that measures 3 yards by 3/4 yard.
A. 2 1/4 yd
B. 6 1/2 yd^2
C. 2 1/4 yd^2
D. 6 1/2
Final answer:
To find the area of a window that measures 3 yards by 3/4 yard, multiply the length by the width. The area is 9/4 yd² or 2 1/4 yd², which corresponds to answer C.
Explanation:
The area of a rectangle is calculated by multiplying its length by its width. In this case, the window's dimensions are given in yards, and we need to find the area in square yards. We multiply the length (3 yards) by the width (3/4 yard) to find the area.
Area = length × width
Area = 3 yd × 3/4 yd
Area = 9/4 yd² or 2 1/4 yd²
So the correct answer is C. 2 1/4 yd².
Subtract.
−1 1/3 − 1/6
What is 14 3/5 in decimal form
Solve the inequalities
1. 2y - 2 < 14
A. y > 6
B. y > 8
C. y < 8
D. y < 6
25 > 1 - 3d
A. d < -8
B. d > 8
C. d < 8
D. d < -8
PLZ HELP 30points and brainlist
How many more students have cats than dogs?
Have Cats
Do Not Have Cats
Total
Have Dogs
18
22
40
Do Not Have Dogs
25
35
60
Total
43
57
100
A:25
B:22
C:7
D:3
Answer: The correct answer would be B!
Step-by-step explanation:
Can someone help me with numbers 4 5 6 7 and 8
The solution of the operations of the fractions are found as below.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
4. [tex]\frac{3}{4}[/tex] + [tex]\frac{1}{2}[/tex]
Make the denominator equal.
1/2 is equal to (1×2) / (2×2) = 2/4
[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{4}[/tex] + [tex]\frac{2}{4}[/tex] = [tex]\frac{3+2}{4}[/tex] = [tex]\frac{5}{4}[/tex]
5. 2 [tex]\frac{3}{8}[/tex] + 1 [tex]\frac{1}{8}[/tex]
This in the form of mixed fraction.
Convert it into improper fraction first.
2 [tex]\frac{3}{8}[/tex] = (2 × 8 + 3) / 8 = 19/8
1 [tex]\frac{1}{8}[/tex] = (1 × 8 + 1) / 8 = 9/8
2 [tex]\frac{3}{8}[/tex] + 1 [tex]\frac{1}{8}[/tex] = 19/8 + 9/8 = 28/8 = 7/2
6. 5 [tex]\frac{2}{5}[/tex] - 3 [tex]\frac{7}{10}[/tex]
5 [tex]\frac{2}{5}[/tex] = (5 × 5 + 2) / 5 = 27/5
3 [tex]\frac{7}{10}[/tex] = (3 × 10 + 7) / 10 = 37/10
5 [tex]\frac{2}{5}[/tex] - 3 [tex]\frac{7}{10}[/tex] = 27/5 - 37/10
= 54/10 - 37/10
= 17/10
7. 5 [tex]\frac{1}{2}[/tex] × [tex]\frac{3}{11}[/tex]
5 [tex]\frac{1}{2}[/tex] = 11/2
5 [tex]\frac{1}{2}[/tex] × [tex]\frac{3}{11}[/tex] = [tex]\frac{11}{2}[/tex] × [tex]\frac{3}{11}[/tex]
= 3/2
8. [tex]\frac{5}{6}[/tex] ÷ [tex]\frac{1}{3}[/tex]
When dividing two fractions, the second term becomes reciprocal and the operation becomes multiplication.
[tex]\frac{5}{6}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{5}{6}[/tex] × [tex]\frac{3}{1}[/tex] = 5/2
Hence the solutions are found.
Learn more about Operations of Fractions here :
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Plot the line for the equation on the graph.
y−4=−14(x−5)
The coordinates are (5,4) and (9,3)
Remember that the x axis comes before the y axis when plotting down the points. I made this simple mistake with these coordinates reversed and got it wrong with putting the y axis before the x axis.
The graph of the equation of line y = - 14x + 74 is shown in figure.
What is Equation of line?
The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of line is,
y - 4 = - 14 (x - 5)
Now,
The simplify the equation of line as;
y - 4 = - 14 (x - 5)
y - 4 = - 14x + 70
Add 4 on both side, we get;
y - 4 + 4 = - 14x + 70 + 4
y = - 14x + 74
Thus, By comparing the slope form of the equation of line y = mx + b we get;
The slope of the line m = - 14
And, The y - intercept = 74
So, The graph of the equation of line y = - 14x + 74 is shown in figure.
Learn more about the equation of line visit:
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Last year,29% of the movies shown at Carmen's Movie Theater were action movies. Meanwhile, 7/24 of the movies shown at Union Cinema were action films. Which movie theater showed a greater percentage of action movies last year?
Write an algebraic expression for the word phrase: six times a length w
Answer:
6w
Step-by-step explanation:
They are basically asking you to multiply 6 and w, which is 6w
Henry and 28 classmates go to the roller skating rink . Each van can hold 11 students . If all of the vans are full except one how many students are in the van not full show your work
Write an algebraic expression to find the number of seconds in n minutes. Evaluate the expression for n = 20
No work needs to be shown.
need help with calculus...not just answer. worked out with explanation please
since the fence will be 3 sides, the length would be length minus 2 widths
so length = 1200 - 2x
area = length x width
width is x
area = (1200-2x)*x
= 1200x -2x^2
after doing the calculations x = 600 meters, width = 300 meters