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timofeeve [1]
1 year ago
11

Mr and mrs Jones buy cinema tickets for themselves and their three children. the cost of an adult ticket is £6 more than a child

ticket. the cost of the five tickets is £45
work out the cost of an adult ticket
Mathematics
1 answer:
ElenaW [278]1 year ago
7 0

Answer:

£12.60

Step-by-step explanation:

let the cost of a child ticket be x then the cost of an adult ticket is x + 6

Sum the costs and equate to 45

x + 6 + x + 6 + 3x = 45 , that is

5x + 12 = 45 ( subtract 12 from both sides )

5x = 33 ( divide both sides by 5 )

x = 6.6

Cost of and adult ticket = x + 6 = 6.60 + 6 = £12.60

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(05.02 MC) The figure below shows a line graph and two shaded triangles that are similar: A line is shown on a coordinate grid.
Elenna [48]

Answer:

D

Step-by-step explanation:

i got you its just <em>D</em>.<em> <3</em>

5 0
2 years ago
Read 2 more answers
The base of the isosceles triangle is parallel to x-axis and has both end-points on the parabola y=x(10−x) and its vertex belong
baherus [9]

Answer:

36

Step-by-step explanation:

We must determine the x and y intercepts of the parabola:

When y=0, x=0 or x=10

WE know that the point of the triangle base is x and x+8. We can substitute this into the parabola equation because the endpoints are on the parabola.

f(x+8)=-(x^2+16x+64)+10x+80

f(x+8)=-x^2-6x+16

f(x)=f(x+8)

-x^2+10x=-x^2-6x+16

solve for x

16x=16

x=1

Therefore the heigh is f(1):

=-1^2+10=9

The area of the triangle is 1/2 base x height:

=(1/2)\cdot{8}\cdot{9}=36

6 0
2 years ago
The number of species n found on islands typically increases with the area of the island A. Suppose that this relationship is su
Crazy boy [7]

Answer:

n(A) = n_1A^k

Step-by-step explanation:

Taking into account that the growth rate of the number of species on the island is proportional to the density of species (number of species between area of the island), a model based on a differential equation is proposed:

\frac{dn}{dA} = k\frac{n}{A}

This differential equation can be solved by the method of separable variables like this:

\frac{dn}{n} = k\frac{dA}{A} with what you get:

\int\ {\frac{dn}{n}}\ = k\int\ {\frac{dA}{A}}

ln|n| = kln|A|+C. Taking exponentials on both sides of the equation:

e^{ln|n|} = e^{ln|A|^{k}+C}

n(A) = e^{C}A^{k}

how do you have to n (1) = n_1, then

n(A) = n_1A^k

8 0
2 years ago
A store sells yogurt in small, medium, and large sizes. A small yogurt costs $2, a medium costs $3, and a large costs $5. In one
lidiya [134]
Let S = number of small yogurts ($2 each).
Let M = number of medium yogurts ($3 each)
Let L = number of large yogurts ($5 each)

Total yogurts is 27, therefore
S + M + L = 27

Total revenue generated is $98, therefore
2S + 3M +5L = 98

There are five more large yogurts than small yogurts, therefore
L = S + 5, or
-S + L = 5

These three equations may be written as the matrix equation
[  1   1   1  | |S|      |27|
|  2  3  5 | |M| =   |98|
| -1   0  1 | |L|       | 5|

The determinant of the matrix is
D = 3 - (2+5) + 3 = -1.

Solve with Cramer's Rule to obtain
S = -[27*3) - (98-25) - 15]
   = 7
M = -[(98-25) - 27(2+5) + (10+98)]
    = 8
L = -[15 - (10+98) + 27(3)]
   = 12

Answer: 7 small, 8 medium, 12 large yogurts.
8 0
2 years ago
How many ounces of pure nickel must be added to 150 ounces of alloy 70% pure to make an alloy which is 85% pure?
galben [10]

Answer:

150 oz.

Step-by-step explanation:

There are already 150 ounces of alloy of nickel.

Of this 150 oz, 70% is pure i.e. nickel content = 150(0.7) = 105 oz

Now available is

Nickel       Other metals

105                  45

Let x oz of pure nickel is added.

Then new alloy will have 105+x oz nickel in total of 150+x oz.

Percentage pure = \frac{105+x}{150+x} =85%

Simplify to get

\frac{105+x}{150+x} =\frac{85}{100} \\\\Cross multiply:\\85(150+x) =100(105+x)\\12750+85x =10500+100x\\100x-85x = 12750-10500\\15x = 2250\\x = 150

Hence answer is 150 oz should be added.

6 0
1 year ago
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