Answer: T
=
$
36
Step-by-step explanation: Hmm...
Let's organize this problem.
Since he saved
$
30
, he as
$
30
Now, that is five-sixths of the total cost of the game.
Let's name the total cost
T
.
If we have a fraction of something, say, half of four, we multiply the fraction by the whole.
half of four
1
2
⋅
4
Similarly, two-thirds of the total can be represented as:
5
6
⋅
T
Now, the problem is telling us that
$
30
is equal to the expression above.
Therefore,
2/3
T
=
30
=>
6
5
⋅
5
6
⋅
T
=
6
5
⋅
30
1
=>
1
⋅
T
=
6
5
⋅
30
1
=>
T
=
$
36
The diagram that represents the transactions that was made from May 14 to May 23 can be viewed above.
<h3>What is journal entry?</h3>
Journal entry is defined as the documentation of any transaction which may be financial or non financial related in order to help keep track of the income of an organisation.
The following features are expected to be seen in a standard journal entry:
- the amount of the debit and credit,
- the titles of the accounts being debited and credited (with the title of the credited account being indented), and
- a short narration of why the journal entry is being recorded.
The uses of journal entry includes the following:
- It is used for recording of disposal of fixed assets.
- It can be used for correction of errors.
- Double entry transactions.
- Can be used for recording opening entries.
- It can be used to transfer items between accounts.
Learn more about journal here:
brainly.com/question/14279491
#SPJ1
Answer:
x > -5/8
Step-by-step explanation:
Simplify by combining x and 4/5 and then moving 4 to the left side of x
-x * 4/5 + 3/10 < 8/10
-4x/5 + 3/10 < 8/10
Now we cancel the common factor of 8 and 10.
Factor 2 out of 8
-4x/5 + 3/10 < 2(4)/10
2 from 10
-4x/5 + 3/10 < 4/5
Now move all the terms not containing x to the right side
Lets subtract 3/10 from both sides
-4x/5 < 4/5 - 3/10
Now we multiply by 2/2 to write 4/5 with a common denomi.
-4x/5 < 4/5 * 2/2 - 3/10
Now write with a common denom of 10 and multiply by 1
-4x/5 < 4*2/5 * 2 - 3/10
5 by 2
-4x/5 < 4 * 2/10 - 3/10
Combine
-4x/5 < 4 * 2 - 3/10
Simplify the numerator by multiplying then subtracting
-4x/5 < 8 - 3/10
-4x/5 < 5/10
Cancel the common factor of 5 and 10...
-4x/5 < 5(1)/10
-4x/5 5* 1/5 * 2
-4x/5 < 1/2
Now we divide by -1
-4x/5)/-1 > 1/2)/-1
4x/5 > 1/2)-1
4x/5 > -1/2
Multiply both sides by 5 and cancel common factors. (5)
4x * 5 > -1/2 * 5
4x > -1/2 * 5
4x > -5/2
Now divide by 4 in each term
4x/4 > -5/2)/4
x > -5/2)/4
Multiply the numer by the reciprocal of the denom
x > -5/1 * 1/4
x > -5/4 * 2
x > -5/8
Looking through my old calc notes, I am reading that f(x) needs to be continuous on [a,b] and f ' (x) also needs to be continuous on [a,b]. Both conditions are needed. If you had to pick just one, then I'd say f(x) being continuous is much more important. Though I'm not 100% sure on this one. My thinking is that if there was any discontinuities on f(x), then the arc length would be distorted and overblown. The arc length should not account for any piece that isn't on the curve.
