The enrollment at Sonya's school is 109% of last years enrollment. What decimal represents this year's enrollment to last year's.
Answers
The decimal representation of the 101% percentage is 1.09, the enrollment at Sonya's school is 109% of last years enrollment.
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
The enrollment at Sonya's school is 109% of last years enrollment
The decimal representation:
= 109 %
= 109/100
= 1.09
Thus, the decimal representation of the 101% percentage is 1.09, the enrollment at Sonya's school is 109% of last years enrollment.
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Answer:1.09
Step-by-step explanation:
Divide 109 from 100. Decimal point goes 2 points to the left.
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Find the complement to each angle of 62°
Glen collects a total of 450 stamps from the United States,Great Britain,and India. In his collection, 52% of the stamps are US stamps. He has 3/5 as many Indian stamps as British stamps. How many Indian stamps does Glen have? What percent of Glen' collection are British stamps?
Need help with my work pleasem
You are paid $119 for 8 1/2 hours of work. what is your rate of pay
a + b = a + c
a + b = b + a
Answers
Answer:
a + b = b + a
Step-by-step explanation:
The commutative property of addition allows us to "switch" values around an addition sign.
The first choice is a+b = a-b. The operation is changed; the problem is not just flipped around. This is not the commutative property.
The second choice is a+(b+c) = (a+b)+c. In this problem, the parentheses are switched; this is an example of the associative property, not the commutative property.
The third choice is a+b = a+c. The values that are added are changed, not flipped; this is not the commutative property.
The last choice is a+b = b+a. In this equation, the values are flipped around the addition symbol; this is the commutative property.
Option D is our correct answer.
a + b = b + a.
Given,
commutative property of addition.
7 + 8 + 3 = 7 + 3 + 8
4.6 + 11.4 = 11.4 + 4.6
We have to choose from the option that describes the commutativeproperty of addition.
- a + b = a – b
- a + (b + c) = (a + b) + c
- a + b = a + c
- a + b = b + a
What is the commutative property of addition?
It states that if we change the order of the values with the addition the answer remains the same.
4 + 2 = 2 + 4.
We have,
a + b = a – b
Here the order is the same on both sides but the answer is not the same on both sides.
a + (b + c) = (a + b) + c
This is a property of associative.
a + b = a + c
Here the values are not the same on both sides.
a + b = b + a
The values are the same on both sides and the order is changed.
This is the commutative property of addition.
Thus a + b = b + a is our correct answer.
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Answers
Answer:
3x^2 -x-6
Step-by-step explanation:
If f(x) = 3x^2 - 4 and g(x) = x +2
(f-g)(x)
I like to line them up vertically
3x^2 - 4
-( x +2)
----------------------
Distribute the minus sign
3x^2 - 4
- x -2
----------------------
3x^2 -x-6
Answers
Answer:
L(4,-3) -> L'(4,9)
M(4,3) -> M'(4,3)
N(-4,3) -> N'(-4,3)
K(-4,-3) -> K'(-4,9)
Step-by-step explanation:
Reflection of an object means to flip that object on a line called the axis of reflection or line of reflection or mirror line.
Line of reflection here is y = 3
So, after a reflection over the line y = 3
Co ordinates
L' = (4,9)
M' = (4,3)
N' = (-4,3)
K' = (-4,9)
Final answer:
A reflection over the line y=3 changes the y-coordinate of a point to 2*3 minus its original y-coordinate, keeping the x-coordinate the same.
Explanation:
To find the coordinates of the vertices after a reflection over the line y=3, one should understand that a reflection over a horizontal line, such as y=3, changes the y-coordinate of each point while keeping the x-coordinate the same. For instance, if you have a point (a, b), after reflecting over the line y=3, the new point would be (a, 2*3-b). This is because the difference between the y-coordinate of the point and the line of reflection (3 in this case) would be the same before and after reflection, but with a different sign.
For example, if you have a vertex at (2, 5), to find its new position after reflection, you would keep the x-coordinate (2) the same, and calculate the new y-coordinate as (2*3 - 5) = 1. So, the reflected vertex would be at (2, 1). Apply this same method to all vertices to find their new positions after reflection.
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Choose exactly two answers that are correct
A. 2(4x + 7)
B. 9x – 10
C. 16x – 4
D. 4(4x – 1)
Answers
B) 8 + 2(8x - 6) = 9x - 10 is
C) 8 + 2(8x - 6) = 16x - 4 has infinite solutions.
D) 8 + 2(8x - 6) = 4(4x - 1) has infinite solutions.
Answer: C and D
Answers
Answer:
1. x = -3y - 6
2. x = (-3y - 3)/2
Step-by-step explanation:
To get x on its own, we have to add 3y to both sides. We have x = -3y - 6. For the next one, we also want to isolate the variable. So we subtract 3y and we end up with 2x = -3y - 3. Then we divide both sides by 2 and we have our answer. I hope this helps because I didn't really understand the question...
Answers
Answer:
A quadrilateral is a parallelogram if and only if its opposite sides are parallel AKA Q⇔P
Step-by-step explanation:
A biconditional statement puts a conditional statement in If and Only if form. it does not negate or switch the hypothesis or conclusion.
The symbol is q arrows going both ways (⇔) p
Hope this helps!!
Answer:
A quadrilateral is a parallelogram if and only if its opposite sides are parallel AKA QtoP
Step-by-step explanation: