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.
This means we have £85.
We are also told that 110 of the coins are 50 p coins.
Let us figure out number of 20 p coins by subtracting the number of £1 coins and 50 p coins from 255.
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.
Therefore, the total value of the coins contained in the bottle is £152.
Set up a ratio. But first convert the height of the puzzle to feet so we are comparing the same unit of measure.
STEP 1
convert 24 inches to feet
12 inches= 1 foot
24 inches= 2 feet
STEP 2
set up ratio.
= 2 feet/556 feet or 2:556
simplify both by 2
= 1 ft/278 ft or 1:278
ANSWER: 1/278 or 1:278 (can be written either way)
Hope this helps! :)
Answer:
0=0
Step-by-step explanation:
The vertex form of the equation is:
y = a ( x - h )² + k
- 81 = a ( 0 - 6 )² + 27
- 81 = 36 a + 27
- 108 = 36 a
a = - 108 : 36
a = - 3
y = - 3 ( x - 6 )² + 27
y = - 3 ( x² - 12 x + 36 ) + 27
y = - 3 x² + 36 x - 108 + 27
y = - 3 x² + 36 x - 81
y = - 3 ( x² - 12 x + 27 )
x² - 12 x + 27 = 0
x² - 9 x - 3 x + 27 = 0
x ( x - 9 ) - 3 ( x - 9 ) = 0
( x - 9 ) ( x - 3 ) = 0
x 1 = 3, x 2 = 9
Answer:
The x-intercepts are ( 3, 0 ) and ( 9, 0 ).
