Answer:
x = 4
y = 3
Step-by-step explanation:
<u>Given </u><u>equations </u><u>:</u><u>-</u>
<u>Second</u><u> </u><u>equation</u><u> </u><u>can </u><u>be</u><u> written</u><u> as</u><u> </u><u>,</u><u> </u>
<u>Adding</u><u> </u><u>them </u><u>:</u><u>-</u><u> </u>
- -3y + 2y = 2 -5
- -y = -3
- y = 3
<u>Put </u><u>this </u><u>in </u><u>(</u><u>ii)</u><u> </u><u>:</u><u>-</u><u> </u>
- x = 3y - 5
- x = 3*3 - 5
- x = 9 -5
- X = 4
Given: Different points and an angles as found in the image
To Determine: The correct name of the angle shown
Solution
An angle is formed when two lines meet at a point. This is as shown below
Let us apply the above to the given image
The angle formed is shown by the red arc.
Hence, the correct name of the angle shown is ∠
Answer:
Monica paid $171 while Rachel paid $207
Step-by-step explanation:
We are told that Monic and Rachel purchased a tv for $378.
Let the amount spent by Monica be X and the amount spent by Rachel be Y.
Thus;
x + y = 378 - - - - (eq 1)
We are told that Monica paid $36 less then Rachel. Thus;
y = x + 36
Or y - x = 36 - - - (eq 2)
Add eq 1 & eq 2 together to give;
2y = 378 + 36
2y = 414
y = 414/2
y = $207
Put 207 for x in eq 1 to get;
x + 207 = 378
x = 378 - 207
x = $171
Thus;
Monica paid $171 while Rachel paid $207
What is the time it takes Sanjay to complete the puzzle? 6 hours
What is the time it takes Felipe to complete the puzzle? 8 hours
We can use the general formula of rate and time to solve this problem. Generally we have,
<em><u>Rate * Time = Work/Job</u></em>
<em>** where Work/Job for this problem is 1 since they are doing 1 work, which is solving a puzzle</em>
- <u>Finding rate of Sanjay:</u>

- <u>Finding rate of Felipe:</u>

Working together, their rate is the sum,
Total Rate =
.
Using the general formula again, we can find the time it will take to solve the puzzle when both works together.
hours
Rounding the answer, we have 3.4 hours.
ANSWER: 3.4 hours
about $4
multiply the bill by 15% to calculate tip
tip = $26.51 ×
= 3.9765 ≈ $4