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LiRa [457]
3 years ago
10

Water begins to slowly leak from David’s water bottle right after he fills it. After 5 minutes, he notices the bottle has 26 oun

ces of water remaining. After 30 minutes, he notices the bottle has 16 ounces of water remaining. Let x represent the number of minutes that have passed and let y represent the amount of water remaining in the bottle.
Mathematics
1 answer:
Dafna11 [192]3 years ago
7 0

Answer:

35y+5x=30

Step-by-step explanation:

iM biggest brain

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In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz
BabaBlast [244]

Answer:

C (2, -1)

Step-by-step explanation:

C has the same x coordinate as A = 2

that eliminates A and B.

and the y value of C has to be closer to the y value of B than to the y value of A (due to the 5:3 ratio).

so, without spending unnecessary effort on actual calculation, we can directly derive the correct answer to be C.

but to show in numbers, the "coordinate triangle" of the difference between D and B is a similar triangle to ACD. and so, the ratio of one side pair applies then to all other sides too. including the individual coordinate differences.

so, also the y difference of A to D relates to the y difference between D and B in the same ratio of 5:3 of the overall y difference of A to B.

the y difference A to B is 2 - -6 = 8

the 5/3 split of 8 units is actually 5 and 3.

so, the y coordinate of D is -6 + 5 = -1

and C must have the same y coordinate.

therefore, it is proven that answer C (2, -1) is the right answer.

4 0
3 years ago
I need the answer for this
Svetach [21]

Answer:

535.9 ft²

Step-by-step explanation:

Since there are 360° in a circle, and 240° is 2/3 of 360°, we can say that the area of the bolded sector is <em>2/3 the area of the whole circle</em>. The area of a circle with a radius of r is πr², or approximately 3.14r², so the area of the whole circle is ≈ 3.14(16)² = 3.14(256) = 803.84 ft². Taking 2/3 of this gets us 803.84 * (2/3) ≈ 535.9 ft²

6 0
3 years ago
Two planes just took off from St. Louis, MO. The first plane is traveling 3.5 times as fast as the second plane. After Traveling
Yanka [14]

Answer:

Speed of first plane is  350 miles per hour

Speed of second plane is 100 miles per hour

Step-by-step explanation:

Let the speed of the second plane be X

Then the speed of the first plane will be 3.5 X

Distance travelled by first plane is 9.5 *X

Distance travelled by second plane is 9.5 * 3.5 X

Difference of distance between the two plane is

9.5 * 3.5 X - 9.5 *X = 2375\\23.75 X = 2375\\X = 100miles per hour

Speed of first plane is 3.5 *100 = 350 miles per hour

Speed of second plane is 100 miles per hour

8 0
3 years ago
SEQUENCE, PLEASE HELP!
cricket20 [7]
I think it's 7.52 and then 8.52
4 0
3 years ago
Read 2 more answers
suppose a city with population 200,000 has been growing at a rate of 3% per year if this rate continues find the population of t
Gennadij [26K]

Answer:

345.000

Step-by-step explanation:

8 0
3 years ago
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