Given:
total = 750
ratio = 7 : 8
We need to get the ratio of the number to its total
7 + 8 = 15 ; 7/15 and 8/15 is the ratio of the number to its total.
We multiply these ratio to the total of 750
7/15 * 750 = 350
8/15 * 750 = 400
7:8 is equal to 350:400
Answer:

And replacing we got:

And then the final term would be:

Step-by-step explanation:
For this case we have the following expression:

And we can use the binomial theorem given by:

And for this case we want to find the fourth term and using the formula we have:

And replacing we got:

And then the final term would be:

See the attached figure.
m ∠KAJ = 170° & m ∠LAM = 80°
We should know that :
m ∠KAJ + m ∠LAM + m ∠KAL + m ∠MAJ = 360°
∴ m ∠KAL + m ∠MAJ = 360° - (m ∠KAJ + m ∠LAM)
∴ m ∠KAL + m ∠MAJ = 360° - (170°+80°) = 360° - 250° = 110°
But : m ∠KAL = m ∠MAJ ⇒⇒⇒ <u>Opposite angles.</u>
∴ m ∠MAJ + m ∠MAJ = 110°
∴ 2 * m ∠MAJ = 110°
∴ m ∠MAJ = 110° ÷ 2 = 55°
<u>So, the answer is : m ∠MAJ = 55°</u>
Answer: 387.93 units
Step-by-step explanation:
You have the following information given in the problem above:
- The sales had dropped 33% from one quarter to the next.
- The owner sold 579 units in the first quarter.
Thefore, to calculate the number of units she sold in the next quarter (which you can call x), you must can apply the following proccedure:

Then the answer is the following:

They can line up 20 different ways