Let's call the lesser number x and the other one x+8
Explanation:
The product x⋅(x+8)=240→
Or: x2+8x=240→
We can rework this by subtracting 240 from both sides:
x2+8x−240=0
Now we factor −240 into two factors that add up to 8
After some trying we find 20and−12
The equation turns into
(x+20)(x−12)=0
→x=−20orx=12
So the pairs of numbers will be:
−20and−12 or +12and+20
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
For this case we have a function of the form:
y = mx + b
Where,
m: slope of the line
b: cutting point with the y axis.
In the context of the problem we have:
The slope of the line is the charge per hour that Yookyung charges for babysit.
The cutoff point with the y-axis is an initial fee that Yookyung charges before starting work.
The cut point with the y axis occurs when x = 0.
Therefore, observing the table we have:
b = 5
Answer:
D. Yookyung charges $5 before she begins babysitting.
What you should do in this case is to use the following trinonometric relationship:
senx = C.O / h
Where
C.O: Opposite leg.
h: hypotenuse.
Substituting:
senx = (7) / (9)
Clearing x:
x = ASIN ((7) / (9))
x = 51.05755873
Answer:
The value of x is
x = 51 degrees.
Well you would subtract 0 from 60 and you would get 60, so your answer is 60feet
