B is two fifths of c 4a = 3c work out the ratio a:b:c give your answer in its simplest form where a, b and c are integers

Response:

a. 55 cars

b. 25 cars

Detailed explanation:

Let’s denote the quantity of cars with stereo systems as N(ss), those with air conditioning as N(ac), and those with sunroofs as N(sr).

We find that:

N(ss) = 30

N(ac) = 30

N(sr) = 40

N(ss and ac and sr) = 15

N(at least two) = 30

a.

To calculate how many cars possess at least one feature (N(at least one) or N(ss or ac or sr)), we apply:

N(ss or ac or sr) = N(ss) + N(ac) + N(sr) - N(ss and ac) - N(ss and sr) - N(ac and sr) + N(ss and ac and sr)

N(ss or ac or sr) = 30 + 30 + 40 - (N(at least two) + 2*N(ss and ac and sr)) + 15

Substituting, we find N(ss or ac or sr) = 30 + 30 + 40 - (30 + 2*15) + 15 = 55

b.

For those cars that have exactly one feature, we have:

N(only one) = N(at least one) - N(at least two)

N(only one) = 55 - 30 = 25

Answer:

1. 8.4 2. 15

Step-by-step explanation:

1. 4x + 8y = 40

when y = 0.8

4x + 8 × 0.8 = 40

4x = 40 - 8 × 0.8

4x = 40 - 6.4 = 33.6

....x = 33.6 / 4 = 8.4

2. 3a + b = 54

when b = 9

3a + 9 = 54

3a = 54 - 9

3a = 45

.....a = 45 / 3 = 15

please rate me

The provided values are

$85 $240 $120 $60 $315 $190 $145 $105 $285 $260 $95 $215 $235 $175 $155

To start, we will arrange these in ascending order

resulting in

$60 $85 $95  $105  $120  $145 $155 $175 $190 $215 $235 $240 $260 $285 $315

The total count is 15

the position of 105 is 4

Now, we can calculate the percentile

Thus, the percentile for the bid of $105 is 26.667%...........Response