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12345 [234]
3 years ago
7

snailpace coach company is running a trip to "the anoraks" concert. they have seven 52-seater coaches and eight 12-seater minibu

ses. the coach company forks out £23 for each ticket. it also costs them £150 to run each coach and £80 per minibus. how much will the company have to pay in total to run the trip
Mathematics
1 answer:
Ket [755]3 years ago
7 0

Total seats: 52 x 7 + 8 x 12 = 364 + 96 = 460

Total cost for total seats = 460 x 23 = 10,580

Cost for buses: 150 x 7 + 80 x 8 = 1050 + 640 = 1690

Total cost = 10,580 + 1,690 = $12,270

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Choose the correct equation for the parabola based on the given information. Given: Focus:(2,8) Directrix: y = 4 a. 2(y-2)= (x-
Harman [31]
<h3>Answer:  c. 8(y-6) = (x-2)^2</h3>

Explanation:

The directrix is horizontal, so the axis of symmetry is vertical. We'll have an x^2 term. The vertical distance from y = 4 to y = 8 is 4 units. Cut this in half to get 2, which is the focal distance p = 2.

The point (2,4) is directly below (2,8), and the point is on the directrix. The midpoint between (2,4) and (2,8) is (2,6). This is the vertex.

(h,k) = (2,6)

4p(y-k) = (x-h)^2

4*2(y-6) = (x-2)^2

8(y-6) = (x-2)^2

8 0
3 years ago
A rectangular poster is to contain 722 square inches of print. the margins at the top and bottom of the poster are to be 2 inche
Delvig [45]
Let
x ----------> the height of the whole poster
<span>y ----------> the </span>width<span> of the whole poster
</span>
We need to minimize the area A=x*y

we know that
(x-4)*(y-2)=722
(y-2)=722/(x-4)
(y)=[722/(x-4)]+2

so
A(x)=x*y--------->A(x)=x*{[722/(x-4)]+2}
Need to minimize this function over x > 4

find the derivative------> A1 (x)
A1(x)=2*[8x²-8x-1428]/[(x-4)²]

for A1(x)=0
8x²-8x-1428=0
using a graph tool
gives x=13.87 in

(y)=[722/(x-4)]+2

y=[2x+714]/[x-4]-----> y=[2*13.87+714]/[13.87-4]-----> y=75.15 in

the answer is
<span>the dimensions of the poster will be
</span>the height of the whole poster is 13.87 in
the width of the whole poster is 75.15 in

6 0
3 years ago
What is the most reasonable for the weight of a table and four chairs? A 19 pounds B 90 pounds C 900 pounds D 9 tons
Rom4ik [11]

Answer:

B. 90 pounds.

Step-by-step explanation:

19 pounds would be too light, 900 pounds would be too heavy, and 9 tons is equal to 18,000 pounds which is wayy too heavy.

Hope this helps!

7 0
3 years ago
POSSIBLE POINTS: 5
Bumek [7]

Answer:

176/231

Step-by-step explanation:

88 blue marbles, 55 green marbles, and 88 red marbles =231 marbles

P (blue or red marble) = number of red or blue/ total

                                     = 88+88 / 231

                                      =176/231

4 0
3 years ago
Which is the graph of y = Lx] -2?
Dimas [21]

Answer:

Graph the line using the slop and y-intercept, or two points.

Slope: 1

y-intercept: -2

x: 0, 0

y: -2, -2

(Sorry is this isn't the answer you are looking for)

7 0
3 years ago
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