Answer: A.This statement makes sense because Emily makes more money than Emma, so she has a greater cash flow at the end of the month.
Step-by-step explanation:
Emily has more monthly income and even if the duo spend exactly the same figure on everything they participate in, Emma will always come off short (negative monthly cash flow) because she does not earn as much as Emily does but spends equally.
Answer:
$47,616
Step-by-step explanation:
49,600 x .04 = 1984
49,600- 1984 = $47,616
76 ÷4=19
76/4+10=x
19+10=x
29=x
There is 29 questions on the test, and he got 19 correct. (65.5%)
good luck
When we say two quantities
and
are proportional to one another, there are two ways we could mean this.
- If
is *directly* proportional to
, then we mean that as
changes,
changes in the same direction. In other words, if
is in/decreased, then
also in/decreases. The rate of in/decrease doesn't have to be one-to-one; for example, we could have
increase by 1 unit while
would proportionally increase by 5 units. In this case, we'd have
.
- On the other hand, if
is *inversely* proportional to
, then a change in
results in a change in
that goes in the opposite direction. A common example involves taking a rectangle of constant area and adjusting the width
and length
. If the rectangle has an area of 5 square units, then we could have
and
, or we could have
and
, or
and
, or any combination of
and
such that
is satisfied.
In both cases, we call 5 the "constant of proportionality".
On to your exercises:
(1a) Looks like
stands for number of apples. Then we're told that the cost
, which means that for every apple, the cost increases by 2.3 dollars. So the constant of proportionality is 2.3. In the language of proportionality, we could then say that the cost of apples is directly proportional to the number of apples by a factor of 2.3.
(1b) 5.4
(1c) 12.5
Answer:
1. angle AEB and angle DEF
2.angle AEB and angle CEB
3. angle AEF and angle DEF
4. 120 degrees - vertical angles have the same degree
5. 13 degrees - vertical angle
6. 180-110 = 70 degrees - supplementary
7. 180-65 = 115 degrees - supplementary
Step-by-step explanation:
vertical angle = angles that are opposite of each other where two lines cross
complementary angle = angles that make up the sum of 90 degrees
supplementary angle = 2 angles with the sum of 180 degrees