Which phrase describes the variable expression m + 5A) The Quotient of m and 5
B) 5 more than m
C) 5 less than m
D) The product of m and 5
Answers
b) five more than m
"m in addition to 5"= m+5
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what is the first step in solving the quadratic equation x2 = ? take the square root of both sides of the equation. add to both sides of the equation. square both sides of the equation. subtract from both sides of the equation.
Answers
difference of 1
numbers are
x,x+1,x+2
their sum is 117
x+x+1+x+2=117
add
3x+3=117
subtract 3 form both sides
3x=114
divide both sides by 114
x=38
largest number is x+2
38=x
x+2=38+2=40
largest number is 40
15
C
А.
Find the length of "a"using
the Pythagorean Theorem.
Answers
Answer:
a = 12
General Formulas and Concepts:
Pre-Algebra
- Order of Operations: BPEMDAS
- Equality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse
Step-by-step explanation:
Step 1: Identify
We are given a right triangle. We can use PT to solve for the missing length a.
Step 2: Define
hypotenuse c = 15
leg b = 9
leg a = ?
Step 3: Find missing length a
- Substitute in variables: a² + 9² = 15²
- Isolate a term: a² = 15² - 9²
- Exponents: a² = 225 - 81
- Subtract: a² = 144
- Isolate a: a = ±12
Since we are not dealing with a quadrant triangle, we can disregard the negative root of the quadratic.
∴ a = 12 is our final answer.
8 • 7 - 4 =
Answers
B. 1.07
C. 0.94
D. 0.7
Answers
w = width ; l = length ; h = height
w = 5 ; l = 6 ; h = 3
Plug them in: 2(5*6 + 3*6 + 3*5) = 126
So the surface area is 126.
Volume = lwh
Same values for the letters
6 * 5 * 3 = 90
The ratio is
And for volume, it is length * width * height
After finding the values, you can divide the surface area by the volume and ta-daa, you have your ratio. Hope this was helpful. :)
Answers
PEMDAS stands for the following:
P- Parentheses
E- Exponents
M-Multiplication
D- Division
A-Addition
S-Subtraction
This is also known as order of operations. Following this order, we can easily simplify the problem.
P-Parentheses
(-2)(-3)^2-2(2-5)
Our parentheses is (2-5). We can simply this to -3. Our problem now is
(-2)(-3)^2-2(-3)
E-Exponents
We have one set of exponents in this. It is -3^2. This simplifies to 9. Our problem now is
(-2)(9)-2(-3)
M- Multiplication
We can simply to.
-18+6
These simplifies into
-12
Final answer:
To simplify the expression (-2)(-3)^2 - 2(2 - 5), you perform the calculations step by step. The final result is -12.
Explanation:
To simplify the expression (-2)(-3)^2 - 2(2 - 5), we perform the calculations step by step:
- First, we calculate (-3)^2, which is equal to 9.
- Next, we substitute the values in the expression: (-2)(9) - 2(2 - 5).
- Then, we simplify the expression inside the parentheses: (-2)(9) - 2(-3).
- Multiplying -2 by 9 gives us -18, and multiplying 2 by -3 gives us -6.
- Finally, we subtract -6 from -18 to get the final result, which is -12.
Therefore, the simplified expression is -12.
Learn more about Simplifying expressions here:
#SPJ2