Answer:
The initial speed is approximately 104.3 km
Step-by-step explanation:
Let Distance = 240 km
Time = ?
Speed =
Since
Speed = Distance/Time
Distance = Speed × Time
When arrival is late:
240 = S×T
When arrival is on time:
240 = (S+5)×T2
But 40minutes = 2/3 hours
So,
T2 = T - 2/3
240 = (S+5)×(T - 2/3)
240 = ST - 2S/3 + 5T - 10/3
ST - 2S/3 + 5T = 240 + 10/3
S(T - 2/3) + 5T = 730/3
S(T - 2/3) = 730/3 - 5T
S = (730/3 - 5T)/(T - 2/3)
But 240 = ST
S = 240/T
240/T = (730/3 - 5T)/(T - 2/3)
(T - 2/3)/T = (730/3 - 5T)/240
1 - 2/3T = 730/720 - 5T/240
1 + 73/72 = (2/3 + 5/24)T
145/72 = (7/8)T
T = 145/72 × 8/7
= 1160/504
T = 145/63
S = 240/S
= 240×63/145
= 3024/29
≈ 104.3km
Answer: 39 years old
Step-by-step explanation:
First find Sarah's age.
It is said that their ages sum up to 50 and that Sarah's mother is 28 years older than Sarah.
Assume Sarah's age is x.
Sarah's mother's age would be: x + 28.
The expression would therefore be:
x + (x + 28) = 50
2x + 28 = 50
2x = 50 - 28
x = 22/2
x = 11
Sarah is 11 which means her mom is:
= 11 + 28
= 39 years old
Question says that a bookkeeper is posting to the accounts of a manufacturer of coffee. Their accounting software deals with weights in kilograms, but the company’s handwritten accounts state that they have produced 21,560 pounds (lbs.) coffee this month.
Now we have to find about what entry in kilograms should they put into their spreadsheet.
Basically they want to convert 21560 pounds into kilogram.
We know that 1 pound = 0.453592 Kilograms
Then 21560 pound = 0.453592*21560 = 9779.44352 Kilogram
Hence final answer is approx 9779.44 Kilogram.
Answer: the graph crosses the x-axis at x = -3
<u>Step-by-step explanation:</u>
y = (x + 3)³
To find where the graph crosses the x-axis, let y = 0 and solve for x:
0 = (x + 3)³
0 = (x + 3) with a multiplicity of 3
-3 = x with a multiplicity of 3.
Since multiplicity is an ODD number, the graph CROSSES the x-axis at x = -3
<em />
<u>Graph:</u>
- Leading coefficient is POSITIVE so right side goes to +∞
- Degree of polynomial is ODD so left side goes to -∞
<em>graph is attached</em>