Answer:
80%
Step-by-step explanation:
Find 44/55 and multiply the result by 100%: (0.8)(100%) = 80% (completed)
Answer:
bags of popcorn = 10%
sodas = 15.78%
overall increase was 12.5%
Step-by-step explanation:
We must calculate the unit price of each product, before and after.
Before:
bags of popcorn = 7.50 / 3 = 2.5
sodas = 3.80 / 2 = 1.9
Then:
bags of popcorn = 8.25 / 3 = 2.75
sodas = 4.40 / 2 = 2.2
Now, we calculate for each:
bags of popcorn = 2.75 / 2.5 = 1.1
which means that the increase was 10%
sodas = 2.2 / 1.9 = 1.1578
Which means that the increase was 15.78%
If we calculate the percentage of total increase it would be:
(2.75 + 2.2) / (2.5 + 1.9) = 1,125
Therefore the overall increase was 12.5%
Answer:
3x+1/2x
Step-by-step explanation:
When simplifying algebraic expressions, we should first factorise each term fully to find any common factors. First we should factorise the numerator where 3x2-8x-3 factorises to (3x+1)(x-3). Next, we should factorise the denominator where 2x2-6x factorises to 2x(x-3). Now we see that (x-3) is the highest common factor of both the numerator and denominator, hence we can "cancel" the (x-3) term from both the numerator and denominator. Therefore, the expression simplifies fully to (3x+1)/(2x)
Answer:
The correct options are;
1. Definition of supplementary angles
2. m∠1 + m∠2 = m∠1 + m∠3
3. m∠2 = m∠3
4. Definition of Congruent Angles
Step-by-step explanation:
The two column proof is presented as follows;
Statement Reason
1. ∠1 and ∠2 are supplementary Given
∠1 and ∠3 are supplementary
2. m∠1 + m∠2 = 180° Definition of supplementary angles
m∠1 + m∠3 = 180°
3. m∠1 + m∠2 = m∠1 + m∠3 Transitive Property
4. m∠2 = m∠3 Subtraction Property of Equality
5. ∠2 ≅ ∠3 Definition of Congruent Angles
Given that angles ∠1 and ∠2 are supplementary angles and angles ∠1 and ∠3 are are also supplementary angles, then the sums of m∠1 + m∠2 and m∠1 + m∠3 are equal, therefore, ∠2 and ∠3 have equal quantitative value and therefore ∠2 = ∠3 and by definition, ∠2 ≅ ∠3.
Answer:
2521.5
Step-by-step explanation:
20.5 · 10.25 · 12
2521.5