Answer:
a)£21.80
b) 3 trips
Step-by-step explanation:
The cost of an adult is $10.
A child’s ticket is $6.
FAMILY DISCOUNT CARD
- 45% off all adults tickets
- Children save 2/5 off of full price tickets
a) How much will it cost to buy 2 adult tickets and children’s tickets?
(a)
Adults: 2 × £10 = £20
(45 ÷ 100) x £20 = £9
£20 - £9 = £11
Children: 3 × £6 = £18
2
/5
of £18 = £7.20
£18 - £7.20 = £10.80
Total: £11 + £10.80 = £21.80
b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to savemoney on the cost of the card?
(b) Cost without discount = £20 + £18 = £38b)
No card
1 trip
1 × £38 = £38
2 × £38 = £76
3 × £ 38 = £114
With card
£40 + (1 × £21.80) = £61.80
2 trips 2 × £38 = £76 £40 + (2 × £21.80) = £83.60
3 trips 3 x £38 = £114 £40 + (3 × £21.80) = £105.40
3 trips before the discount card starts being cheaper than regular price
1st job $8.50 per hour
if h hours is worked per week in the restaurant, hence the total amount in the restaurant
= 8.5*h = 8.5h
For cleaning the house once a week to earn $25
Total from the two jobs = (8.5h + 25)
(h) = (8.5h + 25)
if 12 hours and 45 minutes was scheduled for the week.
h =12 hours 45 minutes; 45 minutes = 3/4 hour = 0.75 hour
h =12 hours 45 minutes = 12 + 0.75 = 12.75 hours.
(h) = (8.5h + 25) h = 12.75
(h) = (8.5*12.75 + 25)
(h) = (8.5*12.75 + 25) = 108.375 + 25 = 133.375 <span>≈ $133.38
So the answer is option
</span>
<span>d. (ℎ) = 8.5ℎ + 25; $133.38</span>
Hope this explains it.
Answer:
Mercury has a diameter of 3,032 miles (4,879 km) making it a little more than one third the size of Earth.
If Earth were the size of a baseball, Mercury would be about the size of a golf ball. The diameter of Mercury is 4,879 km, which is approximately 38% the diameter of Earth. In other words, if you put three Mercury's side by side, they would be a little larger than the Earth from end to end. While this makes Mercury smaller than the largest natural satellites in our system – such as Ganymede and Titan – it is more massive and far more dense than they are.
In fact, Mercury’s mass is approximately 3.3 x 1023 kg (5.5% the mass of Earth) which means that its density – at 5.427 g/cm3 – is the second highest of any planet in the Solar System, only slightly less than Earth’s (5.515 g/cm3). This also means that Mercury’s surface gravity is 3.7 m/s2, which is the equivalent of 38% of Earth’s gravity (0.38 g). This means that if you weighed 100 kg (220 lbs) on Earth, you would weigh 38 kg (84 lbs) on Mercury.
In the first row of an augmented matrix, we put all the slope constants there.
[3/4
[-8
We have no terms for the next column, so we'll put 1's there.
[3/4 1
[-8 1
Finally, we put the y intercepts in the last column.
[3/4 1 | -6]
[-8 1 | 2] (Choice B, Choice 2)
:)
Answer: (2,-5) X:2. Y:-5
Move accross 2 units to the right and then 5 units down from 2
