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Alchen [17]
2 years ago
6

The ratio of the number of pears to the number of apples in the basket was 3 : 5 After Sean ate 2 apples, there were still 2 mor

e apples than pears. How many pears were there in the basket?
Mathematics
1 answer:
Veseljchak [2.6K]2 years ago
8 0

Answer:

 6 pears

Step-by-step explanation:

The difference in the number of ratio units is 5-3 = 2. This corresponds to an original difference of 2+2 = 4, so each ratio unit represents 2 pieces of fruit.

The original ratio is ...

  6 pears : 10 apples

There were 6 pears in the basket.

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Find the sum of the first 5 terms of the infinite series: 8 + 18 + 28 +
Anna007 [38]

Answer:

8 + 18+ 28+ 38+ 48= 140

Step-by-step explanation:

3 0
3 years ago
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Can someone simply explain how to find the area of a triangular prism ? step by step ^^;
Vika [28.1K]
The formula:
A = bh + L (s1 + s2 + s3)

A: area
b: base
h: height
L: length
s1: side 1 (cross-sectional area)
s2: side 2 (cross-sectional area)
s3: side 3 (cross-sectional area)

Here’s an example (see attached image)

A = (4 x 6) + (12 x [7 + 7 + 4])
A = (24) + (12 x 18)
A = 24 + 216
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I hope this helped? Comment if you need more explanation or anything!

8 0
3 years ago
A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated
zysi [14]
Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)
8 0
3 years ago
Please help... i need it
Tanya [424]
Oh ok .so the answer is.....2838384764733 I suggest the method of comparing variables
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3 years ago
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Can somebody help me?
nikdorinn [45]

Answer:

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Step-by-step explanation:

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3 years ago
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