The area of this polygon 53
Answer:
B, D, E
Step-by-step explanation:
-8x - 6y = 10
x + 7y = 9
You can multiply any of these equations by a constant without changing the solution.
B. 4x + 3y = -10 is equivalent to multiplying each side of the first equation by -½.
D. -16x - 12y = 20 is equivalent to multiplying each side of the first equation by 2.
E. 3x + 21y = 27 is equivalent to multiplying each side of the second equation by 3.
A. -2x + 7y = 9 is wrong. The signs don't match those of the second equation.
C. 24x + 18y = 10 is wrong. The signs don't match those of the first equation.
F. x - 14y = -18 is wrong. The coefficient of x should be -2.
Let's go through this problem step by step while bearing in mind the concept of
PEMDAS.
Step 1:

Declaration of the expression. Nothing wrong here yet.
Step 2:

Clarise evaluated what's inside the parenthesis first - which was the right thing to do! There are no mistakes in this step.
Step 3:

In this step she subtracted first. This should not be the case! PEMDAS tells us that the exponents and division gets higher priority than subtraction. This is therefore the first mistake Clarise makes.
Step 4:

In this step Clarise evaluates the exponent. This does not violate any rules (relative to the previous expression) since PEMDAS tells us that exponents take higher priority than division.
Step 5:

(Clarise's final answer)
In Clarise's final step, she manages to get the wrong answer! Dividing 51.68 by 0.16 would give us 323. This is another mistake of Clarise.
Looking at the choices, we can now identify what mistakes Clarise made:
-She subtracted before evaluating the exponents
-She subtracted before she divided
-She divided incorrectly
Answer:
the quotient of 3 and 4 subtracted from 25.
Step-by-step explanation:
Answer:
it is C 10
Step-by-step explanation:
If the positions are distinct, as in executive offices, then P(9, 5).
P(9, 5) = 9!/(9 - 5)! = 15120
If the positions are equivalent, such as seats in a legislative body, then C(9, 5).
C(9, 5) = 9!/[(9 - 5)!(5!)] = 126
Assuming the five positions are unique in their duties and responsibilities (i.e. order matters): position 1 has 9 candidates to choose from, position 2 has 8, position 3 has 7, and so on. Otherwise, if you're talking about 5 distinct but duplicate positions - meaning their responsibilities are the same but 5 people are required to carry them out - you need to divide the previous total number of possibilities by the number of ways those possibilities could have been reordered.