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stellarik [79]
3 years ago
7

Q10 A student wants to raise £100 for charity.

Mathematics
1 answer:
ElenaW [278]3 years ago
8 0

Answer:

He must charge minimum £0.84 for one hot dog.

Step-by-step explanation:

Ingredients cost for hot dogs at the supermarket,

Price of dog sausages tin of 8 = 50p ≈ £0.5

Price of dog bun packs of 6 = 90p ≈ £0.90

Number of tins required for 150 hot dogs = \frac{150}{8} = 6.25

So student will purchase 7 tins.

Cost of 7 tins = 7 × 0.5

                      = £3.5

Number of dog buns packets required = \frac{150}{6} = 25

Cost of 25 packs = 25 × 0.9

                            = £22.5

Total cost of the material used for 150 buns = 22.5 + 3.5

                                                                         = £26.0

Let the selling price of each hot dog = £x

Then selling price of 150 hot dogs = £150x

Students wants the profit = £100

So, Selling price - Cost price = profit

150x - 26 = 100

150x = 126

x = \frac{126}{150}

x = £0.84

Therefore, he must charge minimum £0.84 for one hot dog.

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The equation $y=-4.9t^2+3.5t+5$ describes the height (in meters) of a ball thrown upward at $3.5$ meters per second from $5$ met
Georgia [21]

Answer:

Step-by-step explanation:

The position function is

s(t)=-4.9t^2+3.5t+5 and if we are looking for the time t it takes for the ball to hit the ground, we are looking for the height of the ball when it is on the ground. Of course the height of anything on the ground is 0, so if we set s(t) = 0 and solve for t, we will find our answer.

0=-4.9t^2+3.5t+5 and factor that however you are currently factoring in class to get that

t = -.71428 seconds or

t = 1.42857 seconds (neither one of those is rational so they can't be expressed as fractions).

We all know that time will never be a negative value, so the time it takes this ball to hit the ground is

1.42857 seconds (round how you need to).

4 0
3 years ago
What is the expression in factored form? 4x^2+11x+6<br><br>Show work please!!
Irina18 [472]
To solve this I'm going to split the middle term.
First multiply the first and last terms:
24x^2
So find two numbers that multiply to 24x^2 and add to 11x.
This would be 3x and 8x
Rewrite the problem as
4x^2+3x+8x+6
Take the first and 3rd and 2nd and 4th terms
4x^2 and 8x
and
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Factor by grouping
Take out a 4x for the first group to get 4x(x+2)
Take out a 3 for the 2nd group to get 3(x+2)
Rewrite as (4x+3)(x+2)
Hope this helps.

6 0
3 years ago
Read 2 more answers
I need the answer to this algebra question
Bond [772]
The answer is letter A
4 0
3 years ago
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goldfiish [28.3K]
It's B and C
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3 years ago
Evaluate the expression when a=-7 and x=6 .<br> X-2a
Ronch [10]

Answer:

=X-2a

= 6- 2× (-7)

= 6 + 14

= 20

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3 0
3 years ago
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