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ludmilkaskok [199]
3 years ago
14

12x-5y=20 y=x+4 3x+y=3 x=-y+3

Mathematics
1 answer:
Vladimir79 [104]3 years ago
4 0
Standard form (which I assume is what they want you to turn these into) is y=mx+b.

12x-5y=20 is y=2.4x-4.
Subtract 12x from both sides, -5y=-12x+20.
Multiply both sides by -1, 5y=12x-20.
Divide both sides by 5, y=2.4x-4.

y=x+4 is already in standard form- I'm not quite sure what to do.

3x+y=3 is y=-3x+3.
Subtract 3x from both sides, y=-3x+3.

x=-y+3 is y=-x+3
Ad y to both sides, y+x=3.
Subtract x from both sides, y=-x+3.
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Answer:

a.(x-9)(x+8)

b. 6(x+3)(x+4)

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3 years ago
you are a school photographer taking individual and class pictures for 2 classes of 21 students each on average each individual
uysha [10]
  1. Answer: Approximately 146 minutes (or if you need the simplified version the answer is 2 hours and 26 minutes).  Step-by-step explanation: Step 1. Two classes of 21 students. To calculate that you would multiply 21 by 2. 21*2=42 Step 2. So now we know you need 42 individual pictures. If they each take 3 minutes to take you need to multiply 42 by 3. 42*3=126. So now you know it’ll take 126 minutes to take all the individual pictures. Step 3. Now, there are 2 classes of people and it takes 10 minutes to take each class picture. So do calculate that you need to multiply 10 by 2. 10*2=20. So it’ll take 20 minutes to take both class pictures. Step 4. Now we know it’ll take 126 minutes to take all the individual photos and 20 minutes to take the class photos. Now to calculate the total amount of time it’ll take to take all the photos you need to add 20 to 126.  126+20=146. So, it’ll take 146 minutes to take all the photos. Step 5. (You can skip this step if no simplification is needed in your problem) So, we all know there is 60 minutes in an hour so we’ll divide 146 by 60. 146/60=2.43. So, now we know it’ll take 2.43 hours to take all the photos. 2.43 hours is 2 hours and 26 minutes.  I hope this helps!
4 0
4 years ago
one days discharge at its mouth, 3 trillion gallons, could supply all of country A’s household for 5 months. how much water an a
serious [3.7K]

let's use engineering notation for the sake of brevity.

1 trillion is 1,000,000,000,000, or just 1E12, twelve zeros.

1 million is then 1E6, six zeros.

we know the discharge for one day is 3E12 gallons, and that'd do just fine for country A for 5 months.  How many gallons in 1 month only?

\bf \begin{array}{ccll} gallons&months\\ \cline{1-2} 3E12&5\\ x&1 \end{array}\implies \cfrac{3E12}{x}=\cfrac{5}{1}\implies 3E12=5x \\\\\\ \cfrac{3E12}{5}=x\implies 6E11=x\implies 600000000000=x

if there are 200million inhabitants in A, namely 200E6 or 2E8 inhabitants, how many gallons per inhabitant from all those 6E11 gallons?

\bf \begin{array}{ccll} gallons&households\\ \cline{1-2} 6E11&2E8\\ x&1 \end{array}\implies \cfrac{6E11}{x}=\cfrac{2E8}{1}\implies 6E11=2E8x \\\\\\ \cfrac{6E11}{2E8}=x\implies \cfrac{600000000000}{200000000}=x\implies 3000=x

5 0
4 years ago
Draw a two-card hand from a well-shuffled standard deck of cards. Given that the first card is a King, what is the chance the se
Leni [432]

Answer:

P ≈ 0,94

Step-by-step explanation:

The normal deck of cards consists of  52 cards, (with 4 kings )

If we take a king a deck will have 51 cards ( three kings )

The probability to get a non-king card is

Probability of non-king card (P)  = 1 - Probability of getting a king card (P₁)

Probability of getting a king card  P₁= 3/51 ≈ 0,059

Then P = 1 - 0,059

P ≈ 0,94

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The area of a parallelogram with a height of 6 meters is 126 square meters. What is the base length of the parallelogram
pashok25 [27]
It's 21 because 126 divided by 6 is 21
6 0
3 years ago
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