The picture is difficult to read, but it looks like
∠ADB = 2x²
∠ACB = 10x
These two angles have equal measure, so you have
2x² = 10x
2x(x -5) = 0 . . . . . subtract 10x and factor
x = 0, or x = 5
The measure of arc AB is twice the measure of either inscribed angle, so would be
arc AB = 2×10x
= 2×10×5
= 100 . . . . . degrees
Arc AB is 100°.
The 1st, 4th, and 5th selections match the given algebraic statement.
Answer:
40 CDs are by solo artists and 16 of the CDs are by female solo artists
Step-by-step explanation:
According to the question, Joshar has a collection of 1200 music CDs. He considers 1/6 of his collection rock music. Of the rock music CDs, 20% are by solo artists. Of the solo artists 2/5 are by female artists.
We are now asked to find many of the CDs are by solo artists and how many of the CDs are by female solo artists?
-----Joshar has 1200 music CD collection,
If 1/6 of his collection is rock music then the amount of rock music CD's with him is
1/6 × 1200
= 200
20% of the rock music CDs are by solo artists ie
20/100 × 200
= 40 CDs are by solo artists
Out of this 40 CD's, 2/5 of them are by female artists ie
2/5 × 40
= 16 are by female artists.
Answer:
1200
Step-by-step explanation:
60 x
- = -
100 800
There are 2 ways to solve this.
1) 800 x 60= 48,000
Divide by 100= 480
x=480
2) Multiply 60 by 8.
Now there are another 2 ways to go.
1) 480 x
- = -
800 2000
<h2>
OR</h2>
2) 60 x
- = -
100 2000
<h3>
I recommend the second option for both. It is easier. The second option allows you to find and equal ratio, with less of the hassle. </h3>
To get 2000, 100 must be multiplied by 20. So.... multiply 60 by 20 to get a equal ratio.
Your answer is 1200. Meaning 1200 adults cooked dinner more than four nights per week.
I hope this helps you significantly
<em><u>~~~LampteyJ</u></em>
1.403 > 1.1
1.1 = 1.100
1.403>1.100