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3 years ago

ACFG is a parallelogram, If AX = 4y + 3 and XF = 2y + 7, find AX.

Mathematics

1 answer:

pashok25 [27]3 years ago

3 0

Answer:

AX=XF

4y+3=2y+7

4y-2y=7-3

2y=4

y=2

then,

AX=4y+3

=4×2+3

=8+3

=11

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2 years ago

A bottle contains 255 coins. 1/3 of the coins are ?1.00. 110 of the coins are 50p coins. the rest are 20p coins. work out the to

aliina [53]

Answer:

£152.

Step-by-step explanation:

We have been given that a bottle contains 255 coins. 1/3 of the coins are £1.00.

Let us find 1/3 of 255 to find the number of £1 coins.

$\£1\text{ coins}=\frac{1}{3}\times 255$

$\£1\text{ coins}=85$

This means we have £85.

We are also told that 110 of the coins are 50 p coins.

$\text{Value of 50 p coins}=\£0.50\times 110$

$\text{Value of 50 p coins}=\£55$

Let us figure out number of 20 p coins by subtracting the number of £1 coins and 50 p coins from 255.

$\text{Number of 20 p coins}=255-(85+110)$

$\text{Number of 20 p coins}=255-(195)$

$\text{Number of 20 p coins}=60$

$\text{Value of 20 p coins}=\£0.20\times 60$

$\text{Value of 20 p coins}=\£12$

Now let us find total value of the coins contained in the bottle by adding the values of £1 coins, 50 p coins and 20 p coins.

$\text{The total value of the coins}=\£85+\£55+\£12$

$\text{The total value of the coins}=\£152$

Therefore, the total value of the coins contained in the bottle is £152.

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3 years ago

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2 years ago

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3 years ago