Answer:
1) +80
2) -1520
Step-by-step explanation:
Positive Signed numbers are used in real world situations to indicate the increase. Examples include; increase in weight, deposit of money into an account, increase in income, profit, height above sea level, etc. They are all represented by positive signed numbers.
Whereas, negative signed numbers show decrease. Examples include; loss of weight, withdrawal of money from an account, loans, liabilities, losses, temperature below zero degrees, height below sea level.
1) We are told that Reuben received 80 dollars. Thus, it means he received an increase in the amount of money he already had. Thus, the signed number will be +80.
2) We are told that A car corporation produced 1520 fewer cars this month than last.
Thus, the signed number will be negative since there is a decrease in number of cars.
Thus, signed number = -1520
Split
into two component segments,
and
, parameterized by


respectively, with
, where
.
We have


where 
so the line integral becomes



The answers are 3/8 and 1/6.
There are 8 possible outcomes in the sample space for flipping 3 coins. Of those, 3 include two heads and 1 tail. This makes the probability 3/8.
Choosing a quarter for the first coin is 3/10, since there are 3 quarters out of 10 coins. After this, choosing a dime is given by 5/9, since there are 5 dimes out of 9 coins left:
3/10(5/9) = 15/90 = 1/6
Answer: 29 cookies
Step-by-step explanation:
Judging that a "batch" is a dozen which is 12 then...
12 + 12 + 5 = 29
Hope this helps!!! Good luck!!! ;)
Hey there!!
Given :
The total cost for 2 pairs of pants and 5 shirts is $61.
The total cost for 3 pairs of paints and 4 shirts is $67.
<em>Let's take the cost for each pair of paints as 'p' and the cost for each shirt as 's'. </em>
Now, let's get these into an equation.
<em>Peter's equation</em> :
... 2p + 5s = 61
<em>Jessica's equation : </em>
...3p + 4s = 67
......................................................................................................
2p + 5s = 61 --- (1)
3p + 4s = 67 --- (2)
Multiply the first equation with 3 and the second equation with 2.
6p + 15s = 183
6p + 8s = 134
S<em>ubtract both the equations - </em>
... 7s = 49
Divide both sides with 7.
... s = 7
<u><em>Hence, the cost of each shirt is $7. </em></u>
Hope my answer helps!!