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?
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.
Solve the equation 96 - 4.5y - 3.2y = 5.6y + 42.80. Show your work.
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:
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:
Molly lives in Denver, Colorado. Her house is approximately 5,220 feet above sea level. Parker lives in Bombay Beach, California. His house is approximately 175 feet below sea level. Determine the difference between the elevations.
since one is below and one is above, just add the two together for the total distance between them
5220 + 175 = 5,395 feet between them
No work needs to be shown.
What is 14 3/5 in decimal form
How could i explain 5x198 using mental math and distributive property? Using words??
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.
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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
evaluate the numeric expression of 2+14x5-5
What is the answer
Write an algebraic expression to find the number of seconds in n minutes. Evaluate the expression for n = 20
Estimate 13/20-3/10=
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?
Subtract.
−1 1/3 − 1/6
What does these symbols mean ?< >
How do you solve
3x-3=4x+1
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.
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.
How do you find square roots? Example: Square root of 441.
The basics ones, like 25 (5) are easy but is there a formula for higher numbers?
-_- please explain, not just answer the Example.
Final answer:
The square root is a value that produces a specified quantity when multiplied by itself. For perfect squares like 441, the square root is an integer like 21. For non-perfect squares or higher numbers, use a calculator or raise the number to the 0.5 power.
Explanation:
Finding Square Roots
Finding the square root of a number involves identifying a value that, when multiplied by itself, gives the original number. For perfect squares like 25, the square root is an integer (in this case, 5). However, for higher numbers, especially those that are not perfect squares, you may need to use a calculator or apply the long division method for finding square roots. Additionally, understanding the concept of exponents helps simplify square roots. For instance, raising a number to the power of 0.5 is the same as taking the square root:
x2 = √x
To find the square root of 441, recognize that it is a perfect square, as 21 multiplied by 21 results in 441. Therefore, √441 = 21. For more complex numbers, a calculator's square root function, or the y* button to raise the number to the 0.5 power can be used. If you're working with roots beyond square roots, such as fourth roots, you could raise the number to the power of 0.25 or take the square root twice sequentially.
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?
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
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
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
What is 12.5% of 88?
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.
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Zach has two savings accounts with a total of $9,000
Write an equation to represent the relationship. Tell what the variables represent
Answer: The equation is y=6.25x where x is the number of hours y and why is the total number of charge
Step-by-step explanation: Look up and I am 100% that is the right answer
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)