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Nitella [24]
2 years ago
8

Seven less than three times a number is 5. Find the number

Mathematics
2 answers:
Anit [1.1K]2 years ago
7 0

Step-by-step explanation:

it is 12 because 12 - 7 is 5 the number 4 is the number multiplied by 3

bagirrra123 [75]2 years ago
5 0

<u>Answer</u>:

the number is 4

<u>Explanation</u>:

let the number be b :)

3b - 7 = 5       { three times a number; seven less of that number; is 5 }

3b = 5 + 7      { changed sides }

3b = 12          { divide both sides by 3 }

b = 4              { final answer }

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cupoosta [38]

Answer:

The cost is a fixed $2, plus $3.25 for any additional hour.

Then if you rent it for x hours, the cost is:

c(x) = $2 + $3.25*x

Is this situation continuous or discrete?

Yes, it is discrete, because x is "the number of hours"

so if you rent it for 1.30 hours, they will say "ok, this is equivalent to two hours".

This means that while the values of x are continuous, the possible costs are:

{$2, $2 + $3.25, $2 + 2*$3.25, ....}

Which is a discrete set.

Then the sign for 1 to 5 hours will be:

1 hour ---------- $2 + $3.25 = $5.25

2 hours -------- $2 + 2*$3.25 = $8.50

3 hours--------- $2 + 3*$3.25 = $11.75

4 hours--------- $2 + 4*$3.25 =  $15

5 hours -------- $2 + 5*$3.25 = $18.25

In the other park the cost is only $4 for each hour (no fixed cost) then the total cost for x hours is:

c(x) = $4*x

Now, which option is better?

If we look at the costs for different numbers of hours for this other equation, we have:

1 hour ----- $4

2 hours ---- 2*$4 = $8

3 hours ----- 3*$4 = $12

4 hours ------ 4*$4 = $16

Then: if you want to skate 2 hours or less, Skate City is cheaper, if you want to skate more than that, kate Days is cheaper.

This happens because the first one has a smaller slope, meaning that is larger at first, but as x grows the price does not grow as much as in Skate City

7 0
3 years ago
A sample of bacteria is decaying according to a half-life model. If the sample begins with 700 bacteria, and after 10 minutes th
Papessa [141]

Answer:

18 minutes

Step-by-step explanation:

A = A₀ (½)^(t / T)

where A is the final amount,

A₀ is the initial amount,

t is the time,

and T is the half life.

A = 140 when t = 10.  Solve for the half life:

140 = 700 (½)^(10 / T)

0.2 = ½^(10 / T)

log 0.2 = (10 / T) log 0.5

10 / T = 2.32

T = 4.31

When A = 40, t is:

40 = 700 (½)^(t / 4.31)

0.057 = ½^(t / 4.31)

log 0.057 = (t / 4.31) log 0.5

t / 4.31 = 4.13

t = 17.8

Rounded to the nearest whole number, it takes 18 minutes.

4 0
3 years ago
The measure of two sides of a triangle are given. If the perimeter is 11x^2 - 29x + 10, find the measure of the third side. ​
bazaltina [42]

Answer:

I would say use photomath if you cant find your answer.

Step-by-step explanation:

5 0
3 years ago
What is the solution for I
xeze [42]

Answer:

no solution

Step-by-step explanation:

5 0
3 years ago
-6 (a) = 12 What is a? <br>​
Vikki [24]

Answer:

-2

Step-by-step explanation:

A negative times a negative is a positive

4 0
3 years ago
Read 2 more answers
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