The equivalent expressions are 6y + 4 and 11y + 16
<h3>How to determine the equivalent expressions?</h3>
<u>Expression (A)</u>
We have:
2y + 4(y + 1)
Open the bracket
2y + 4y + 4
Evaluate the like terms
6y + 4
<u>Expression (B)</u>
We have:
9y + 6 + 2(5 + y)
Open the bracket
9y + 6 + 10 + 2y
Evaluate the like terms
11y + 16
Hence, the equivalent expressions are 6y + 4 and 11y + 16
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Answer:
9.2
Step-by-step explanation:
Answer:
Infinite amount of solutions
Step-by-step explanation:
Parallel lines have no solution
Same lines have infinite solutions
Intersecting lines have 1 solution
Step 1: Write out equation
-14(x - 5) = -14x + 70
Step 2: Distribute -14
-14x + 70 = -14x + 70
Here we see that we have 2 exact same lines. Therefore, we have infinite amount of solutions.
Alternatively, we can plug in any number <em>x </em>and it would work. So then we would have infinite amount of solutions as well.
Answer:
Different Angles have different names: An Acute Angle is less than 90°. This is an acute angle. All the angles below are acute angles: Also: the letter "A" has an acute angle. Remember to look carefully at which angle you are being asked to name: The acute angle is the small angle which is less than 90°.
Answer:
$1,618.67
Step-by-step explanation:
converting R percent to r a decimal
r = R/100 = 2%/100 = 0.02 per year.
Putting time into years for simplicity,
7 months / 12 months/year = 0.583333 years.
Solving our equation:
A = 1600(1 + (0.02 × 0.583333)) = 1618.666656
A = $1,618.67
The total amount accrued, principal plus interest, from simple interest on a principal of $1,600.00 at a rate of 2% per year for 0.583333 years (7 months) is $1,618.67.