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Alchen [17]
3 years ago
15

Dan and David win some money and share it in the ratio 5:4. Dan gets £8 more than David. How much did David get

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
4 0
£32 i hope that helps ☺️
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A Child’s Growth and Prosperity
MArishka [77]

Answer:

a) 0.75 inch/month

b) y-20 = 0.75(x-4)

c) 17 inches

d) 44

a) 0.8 inch/month

b) yes

c) y = 0.8x + 18.8

d) 18.8 inches

Step-by-step explanation:

a) (21.5-20)/(6-4) = 1.5/2

= 0.75 inch/month

If this is correct, 2 months after the 6th month (month 8), it should be

21.5 + 2(0.75) = 23

Which it is

b) y-y1 = m(x-x1)

Where y is the length, x is the months, m is the slope and (x1,y1) is a known point

At x = 4, y = 20

y-20 = 0.75(x-4)

Or

y = 0.75x + c

20 = 0.75(4) + c

c = 20 - 3 = 17

y = 0.75x + 17

c) at birth, 4 months before month 4

So, 20 - 0.75(4) = 17

Which is also the y-intercept

d) y = 0.75(36) + 17

y = 27 + 4 = 44 inches

Generally, at the age of 3 years (36 month) the length is between 35 and 40 inches

a) slope = (30-22)/(14-4)

= 0.8 inch/month

b) 0.8 > 0.75, so yes

c) When x = 4, y = 22

y-22 = 0.8(x - 4)

y - 22 = 0.8x - 3.2

y = 0.8x + 18.8

y-intercept is 18.8

d) at birth, x = 0.

Length was 18.8 inches

Step-by-step explanation:

6 0
2 years ago
A 3. A card is pulled from a standard deck of cards.
dexar [7]
<h3>Answer:    4/13</h3>

Explanation:

There are 13 hearts, including the queen of hearts. Then there are 3 more queens to get us to 13+3 = 16 cards we're after.

There are 16 cards we want out of 52 total, so the probability is 16/52 = (4*4)/(4*13) = 4/13

3 0
2 years ago
If sec(theta) =25/24, find cot(theta) (Picture provided)
larisa [96]

Answer:

B

Step-by-step explanation:

By the definition,

\sec \theta=\dfrac{\text{hypotenuse}}{\text{adjacent leg}}.

If \sec \theta=\dfrac{25}{24}, we can consider right triangle with hypotenuse 25 un. and adjacent leg 24 un. By the Pythagorean theorem,

\text{hypotenuse}^2=\text{adjacent leg}^2+\text{opposite leg}^2,\\ \\\text{opposite leg}^2=25^2-24^2,\\ \\\text{opposite leg}^2=625-576,\\ \\\text{opposite leg}^2=49,\\ \\\text{opposite leg}=7\ un.

So,

\cot \theta=\dfrac{\text{adjacent leg}}{\text{opposite leg}}=\dfrac{24}{7}.

8 0
3 years ago
Read 2 more answers
When using a debit card: Question options: A:There are always fees. b:Identification is always required. c:You still need to rec
DIA [1.3K]

Answer:

D.

Step-by-step explanation:

Since this isn't a credit card, there are no interests or fees on a debit card, so A is incorrect. B is also incorrect. You only need identification when you are withdrawing or depositing at a bank, but purchases made in stores or online do not need your identification. You also don't need to record transactions in your checkbook (but it is recommend to keep track of purchases). Modern day technology already records transaction history and all you need to do is access it online.

D is correct because if someone steals your PIN for your debit card, they could go to stores and use that money. You can dispute charges and report to the bank if that happens.

3 0
3 years ago
Gavin drank nine 8 ounce glasses of water today. How many quarts of water did he drink
dsp73

Answer:

2.25

Step-by-step explanation:

7 0
3 years ago
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