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Lelechka [254]
3 years ago
11

Points P and Q belong to segment AB. If AB = a, AP = 2PQ = 2QB, find the distance: a between point A and the midpoint of the seg

ment QB
Mathematics
1 answer:
PIT_PIT [208]3 years ago
8 0

Since PQ = QB, PB = 2PQ = AP. Thus P is the midpoint of AB, and Q is the midpoint of PB. Then the midpoint (X) of QB is AP + PQ + QX = 1/2 + 1/4 + 1/8 times the length of AB from A.

The distance from A to the midpoint of QB is (7/8)a.

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A bottle contains 2 L 95 mL water. Express the amount of water in litres.
Lunna [17]

Answer:

2.095

Step-by-step explanation:

2 litres= 2000ml

2000+95 ml = 2095ml

Now in litres:

2095/1000= 2.095 litres

6 0
3 years ago
An art club sells 42 large candles and 56 small candle price of large candle is $10 the cost is $x a small candles cost $5 and c
balandron [24]

Answer:

Profit = $(700 - 42x - 56y)

Step-by-step explanation:

For large candles, the selling price is $10 and its making cost is $x.

So, by selling a large candle the profit is $(10 - x)

Again for small candles, the selling price is $5 and its making cost is $y.

So, by selling a small candle the profit is $(5 - y)

Therefore, in a sell of 42 large candles and 56 small candles the total profit will be, P = 42 (10 - x) + 56 (5 - y)

⇒ P = 420 - 42x + 280 - 56y {Applying distributive property}

⇒ P = $(700 - 42x - 56y) (Answer)

4 0
3 years ago
Suppose each license plate in a certain state has three letters followed by three digits. The letters and and the digits , , and
exis [7]

Answer:

17576000 different possible license plates

Step-by-step explanation:

Note that in the question, repetition is allowed for both the letters and digits.

For the first letter, there are 26  choices to make. For the each of the letters, there are 26 choices for the second letter, and for each of the letters, there are another 26 choices for the third letter.

Therefore, this gives us 26x26x26 = 17576 possible pairs of letters.

For the three numbers, we have ten possibilities for the first digit, ten possibilities for the second digit, and ten possibilities for the third digit.

Therefore, this gives us 10x10x10 =1000 possible numbers.

The combined possibility of the license plates in both three letters and three numbers is 17576 x 1000 = 17576000 different possible license plates.

7 0
3 years ago
A painting set is shipped in the box shown. The surface area is printed with advertisements.
Shkiper50 [21]

Answer:

528in

Step-by-step explanation:

SA formula: 2Lw + 2Lh + 2hw

for this box: 2(4×10)+2(10×16)+2(4×16)

2(40)+2(160)+2(64)

80+320+128

80+448

<u>528in</u>

3 0
3 years ago
5. Ms. Brown's flight left at 9:20 A.M. Her plane landed 1 hour and 23 minutes later. What time did her plane land?
Eva8 [605]

Answer:

the plane landed at 10:43 A.M

7 0
3 years ago
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