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Irina18 [472]
3 years ago
8

If (a, –5) is a solution to the equation 3a = –2b – 7, what is a?

Mathematics
1 answer:
Llana [10]3 years ago
7 0

Answer:

d) 1⃣

Step-by-step explanation:

Multiply -5 by -2 to get , then deduct 7 to get 3. So, you now know that 3 = 3a; 1 = a.

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A padlock has a four-digit code that includes digits from 0 to 9, inclusive. What is the probability that the code does not cons
Eduardwww [97]
Since there is no repetition allowed, there are 10 possibilities for the 1st digit, 9 for the 2nd, 8 for the 3rd, and 7 for the 4th. This gives a total of (10)(9)(8)(7) = 5040 four-digit codes.
For all odd digits to be used, there are 5 possibilities for the 1st digit (1,3,5,7,9), 4 for the 2nd, 3 for the 3rd, 2 for the 4th. This gives a total of (5)(4)(3)(2) = 120 codes that only use odd digits.
Therefore there are 5040 - 120 = 4920 codes that do not consist of all odd digits. The probability is 4920/5040 = 41/42.

4 0
3 years ago
Read 2 more answers
Do the ratios 5:3 and 13:8 form a proportion?
shepuryov [24]

Answer:

  No

Step-by-step explanation:

Each ratio is irreducible, and they are different. Hence they are not the same value, so cannot be a proportion. A proportion is two equal ratios.

  5 : 3 = 40 : 24

  13 : 8 = 39 : 24 . . . . not the same as 40 : 24

_____

<em>Examples of proportions</em>

  5/3 = 40/24 . . . is a proportion

  13/8 = 39/24 . . . is a proportion

4 0
3 years ago
Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am
zheka24 [161]

SOLUTION

We have been given the equation of the decay as

\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}

So we are looking for the time

Plugging the values into the equation, we have

\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}

Taking Ln of both sides, we have

\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}

Hence the answer is 4308 to the nearest year

8 0
11 months ago
Write an algebraic expression for the word phrase.
vovangra [49]

Answer:

0.30 m

Step-by-step explanation:

<u>Explanation</u>:-

Given data is 30 % of m

Algebraic expression:-

The form of the algebraic expression is ax+ by +c

Given data is 30 % of m

here 'of' meaning is multiplied of given term

therefore \frac{30}{100} X m

The algebraic expression is 0.30 m

6 0
3 years ago
Read 2 more answers
i know this isnt really a school question but i really need help... So recently i got a husky and at her old house we are thinki
Andrej [43]
Give highly palatable and nutritious food.
Make sure the food smells right.
If you're feeding your dog kibble, add some warm water, bone broth, or wet food.
Offer home-cooked food.
Cut down on treats and avoid feeding off the table.
Praise the dog for eating the food.
5 0
2 years ago
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