After Sally had given 1/9 of her stamps to Andy, she had 280 stamps (since they now have equal shares). So 280 was 8/9 of what she started with, making the 1/9 she handed over equal to 280/8, that’s 35. And Andy was “under” by the same amount she was “over” an equal share, that’s 35 under matching her 35 over, which is 70 altogether.
By all means use algebra but you may find you can reason a word problem through in words.
Answer:
The correct answer is B. -3.
Step-by-step explanation:
To solve this problem, we need to plug in -3 for all of the values of x in the equation. If we do this, we get:
f(x) = 2x + 3
f(-3) = 2(-3) + 3
Now, we can just simplify the expression found on the right side of the equation using PEMDAS. First, we should perform the multiplication.
f(-3) = -6 + 3
Next, we should add our final two terms together.
f(-3) = -3
Therefore, the correct answer is -3.
Hope this helps!
Answer: 
Step-by-step explanation:
You know that the formula to find the sum of a finite geometric series is:
Where 
is the number of terms, 
is the first term and 
is the common ratio (
).
The steps to find the sum of the first 12 terms of the given geometric serie, are:
1. Find the common ratio "r". By definition:
Then:
2. Finally, knowing that:
You must substitute values into the formula.
Then you get:
<span>Find
the two numbers that has the sum of 5.036
First number has a 4 in the tenths place and 7 in the thousands
=> x.4x7
The other number has 1 in the ones place and 2 in the hundredths place
=> 1.x2x
=> x.4x7 + 1.x2x = 5.036
=> x.4x7 + 1.x2x = notice that the thousandths place is 7, add 9 to make it
16.
=> x.4x7 + 1.x26 = carry 1, then in hundredths place 2 + 1 + x, find the
number to make it 3, since it’s already 3 x = 0
=> x.407 + 1.x29, in tenths place, notice that we already have 4, add 6 to
make it 10, then carry 1 to ones place
=> x.407 + 1.629, Now, in ones place, we have 1 + 1 + x, find a number to
make it 5. Add 3
=> 3.407 + 1.629 = 5.036</span>
Answer:
algebraic expression: 3x + 2b
coefficients: 3 and 2
variables: w and b
# of terms: 2
constant: 0
algebraic expression: 6xy - 2c + 4
coefficients: 6 and -2
variables: x, y, and c
# of terms: 3
constant: 4
algebraic expression: 2/3 y - 3p
coefficients: 2/3 and -3
variables: y and p
# of terms: 2
constant: 0
