Answer:
Please see below :)
Step-by-step explanation:
y - 5 = -(x + 11) + 2
y - 5 = -x - 11 + 2
y = -x - 11 + 2 + 5
y = -x - 9 + 5
y = -x - 4
54x + 15 = -3(3y + 1)
54x + 15 = -9y - 3
54x + 15 + 3 = -9y
54x + 18 = -9y
-6x - 2 = y
y = -6x - 2
Please let me know if I've done anything wrong!
The two strands of Decorative light will shine at same time after every 15 seconds.
<h3>What is defined as the Highest common factor?</h3>
- The greatest of all their common factors is the Highest Common Factor (HCF) of more than one number.
- As a result, it is also known as the greatest common factor (GCF).
- There isn't an exact formula for determining the greatest common factor of two numbers.
- However, when considering prime factorization, we can write a statement that aids in evaluating the greatest common factor of more than one number.
The stated condition are-
The light strand one change color every 30 seconds.
The light strand second change color every 45 seconds.
Prime factorization of both number are;
30 = 2×3×5
45 = 3×3×5
The numbers with highest power are;
HCF(30, 45) = 3×5 = 15.
Thus, the time after which both the light strands will change colour at the same time is 15 seconds.
To know more about Highest common factor, here
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Answer:
x=66°
Step-by-step explanation:
We know that the total angle measure in a triangle is always 180°, so first we need to find the angle value of BAC. They give us a straight line aligning with this angle and measure of 98° for the angle DAB (which is forming other part of line) and a line is 180° so we subtract and find that angle BAC is 82°.
Now that we know the angle measure of 2 angles in the triangle, we add them up and get 114°. Now we subtract this from 180° and get 66°, which is the measure of x.
Solution:
<u>Note that:</u>
- Speed = Distance/Time
- Vaimiti speed = 1.1 m/s
- Jabril speed = 1.3 m/s
<u>Converting the time (minutes to seconds) for Vaimiti to reach school:</u>
- Vaimiti's time to reach school: 25 minutes = 25 x 60 seconds
- => Vaimiti's time to reach school: 1500 seconds
<u>Converting the time (minutes to seconds) for Jabril to reach school:</u>
- Jabril's time to reach school: 30 minutes = 30 x 60 seconds
- => Jabril's time to reach school: 1800 seconds
<u>Finding the distance of Vaimiti:</u>
Important: <em>The distance will be in meters since the speed units is </em><u><em>meters</em></u><em>/seconds.</em>
- => 1.1 meters/second = Distance/1500
- => 1.1 x 1500 = Distance
- => 1650 meters = Distance (In meters)
<u>Finding the distance of Jabril:</u>
Important: <em>The distance will be in meters since the speed units is </em><u><em>meters</em></u><em>/seconds.</em>
- 1.3 meters/second = Distance (In meters)/1800 seconds
- => 1.3 x 1800 = Distance (In meters)
- => 2340 meters = Distance (In meters)
This can lead to two possible solutions:
Possible solution #1:
<u>Finding the difference between the two distances:</u>
- 2340 meters - 1650 meters = Difference (In meters)
- => 690 meters
Possible solution #2:
The difference between the <u>distances they walked</u> is that Jabril walked <u>faster</u> than Vaimiti, but Vaimiti reached <u>school</u> earlier than Jabril because the <u>walking distance</u> for Vaimiti is less than the <u>walking</u> <u>distance</u> for Jabril.
Hoped this helped!
If there are no answer choices, I'll give you a few to work with:
16:52 (divide each number by 3 to get this)
8:26 (divide the above by 2, both sides)
4:13 (divide the above by 2, both sides)
96:312 (multiply the original by 2, both sides)
I think you get the gist.
~Hope this helps!
