Derek had 104 more stamps than Ahmad. Derek then gave 1/9 of his stamps to

Mathematics

1 answer:

Flauer [41]3 years ago

5 0

Answer:

117

Step-by-step explanation:

Let d represent the number of stamps Derek had at first. After he gave 1/9 of his stamps to Ahmad, Ahmad had (d -104) +(d/9). Derek had 4 times this number after giving away d/9 stamps:

(d -d/9) = 4((d -104) +d/9)

(8/9)d = 4d -416 +(4/9)d

416 = (32/9)d . . . . add 416 -8/9d

117 = d . . . . . . . . . . multiply by 9/32

Derek had 117 stamps at first.

_____

<em>Check</em>

1/9 of Derek's collection is 13 stamps. 104 less than Derek's collection is 13 stamps.

So, Ahmad started with 13 stamps and was given 13 stamps by Derek. Meanwhile, Derek started with 117 stamps and gave away 13, so ended with 104 stamps. That number (104) is 4 times Ahmad's new number (26), as it should be.

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For a square with a side length x + 1 , what is the area if x=9

Svetach [21]

Answer:

100 units squared

Step-by-step explanation:

The area of a square is A=s^2, where s is the side length. So, in your problem, the area would be A=(x+1)^2. If x = 9, then the formula would be A = (9+1)^2 = 100.

6 0

3 years ago

Read 2 more answers

17 Q Graph the inequality n a coordinate plane

aliina [53]

The resultant graph is shown in the attached image.

Explanation:
Before we begin, remember that when we multiply by a negative sign, we flip the sign of the inequality
The given inequality is:
-y ≤ 3x - 5
We will multiply both sides by -1 to get a positive y vale. This will give us:
y ≥ -3x + 5

Now, to graph the inequality, we will first draw the line y = -3x + 5 and then shade the region having y values greater than the line.
To know the region, you will simply use trial and error method for random points on the two sides of the line.

The final solution would be as shown in that attachment.

Hope this helps :)