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Yuri [45]
3 years ago
9

two families go to a theatre. the smith family three adults and four children pays £67. the jones family five adults and six chi

ldren pays £106.work out the price of an adult and child ticket, let a stand for adults and c stand for child
Mathematics
1 answer:
White raven [17]3 years ago
6 0
1.)    5 (3a + 4c = 67)  
2.)    -3 (5a + 6c = 106)

1.)    15a + 20c = 335
2.)    -15a - 18c = -318
_____________________
                     2c = 17
divide both sides by 2
c = £8.5
substitute c for 8.5 to find a

3a + 4 * 8.5 = 67
3a + 34 = 67
subtract 34 from both sides
3a = 33
divide both sides by 3
a = <span>£</span>11


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You are saving for a spring break cruise for the end of march of the next year thag costs $600. You start at $50 in August. At t
Doss [256]
March is 8 months away from August and the target amount is $600.
August = $50
September = $50 + (0.2*50)=$60
October = $60 + (0.2*60)=$72
November=$72+(0.2*72)=$86.4
December=$86.4 + (0.2*$86.4)=$103.68
January=$103.68+(0.2*103.68)= $124.416
February=$124.416+(0.2*124.416)=$149.3
March=$149.3 +(0.2*149.4)=$179.2

Total amount = $824.6

Yes, she will have money for the trip
7 0
3 years ago
The graph of the function f(x) is shown below.
faust18 [17]
Remember, parenthaees are like < and > and brackets ar like ≤ and ≥

domain is how far the x values go
x is left to right

we see they go from -3 to 5, with a filled in dot at -3 and empty dot at 5
means include -3 but not including 5
so like -3≤x<5
or in interval notation
[-3,5) is the domain



range
highest to lowest y value

range is from y=3 to y=-1
we gots full dots so we use brackets
range is [-1,3]



Domain=[-3,5)
Range=[-1,3]


B. read above and understand it
5 0
3 years ago
What is an equation of the line that passes through
lys-0071 [83]

Answer:

B

Step-by-step explanation:

For the perpendicular of an equation you need to flip the fraction and change the sign from positive to negative or if it's negative to positive. 3/2 is changed to -2/3 which when multiplied by -2 gives you 4/3 and 4/3+5/3 is equal to 3.

3 0
3 years ago
Solve xy-6=k for x <br><br><br> Please help me out
dedylja [7]

Answer:

\times  =  \frac{k + 6}{y}

Step-by-step explanation:

xy - 6 = k \\ xy = k + 6 \\ x =  \frac{k + 6}{y}

4 0
3 years ago
Write and solve an equation using the constant of proportionality to answer each question.
yaroslaw [1]

Answer:

15 teachers

Step-by-step explanation:

Given:

number of children is c

number of teachers is t

\frac{c}{t} = \frac{14}{3} (rearrange)

t = \frac{3}{14} x C

When C = 70,

t = \frac{3}{14} x 70

t = 15 teachers

8 0
3 years ago
Read 2 more answers
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