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inn [45]
3 years ago
8

How would I put equations like these in Standard Form?

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0

The standard form:

Ax+By=C

4x-y-7=0\qquad\text{add 7 to both sides}\\\\\boxed{4x-y=7}

3x+9=\dfrac{7}{2}y\qquad\text{multiply both sides by 2}\\\\6x+18=7y\qquad\text{subtract 18 and 7y from both sides}\\\\\boxed{6x-7y=-18}

y=-4x+12\qquad\text{add 4x to both sides}\\\\\boxed{4x+y=12}

y=-\dfrac{3}{4}x+\dfrac{5}{4}\qquad\text{multiply both sides by 4}\\\\4y=-3x+5\qquad\text{add 3x to both sides}\\\\\boxed{3x+4y=5}

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Arturiano [62]
1300 and 1200add up to 2500
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3 years ago
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A mother decides to teach her son about a letter each day of the week. She will choose a letter from the name of the day. For ex
avanturin [10]

Answer:

Check Explanation

Step-by-step explanation:

The days of the week include

Sunday

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

a) So, the possible letters to be taught include

A, D, E, F, H, I, M, N, O, R, S, T, U, W, Y

There are indeed 15 possible letters.

These are the letters from which all the days of the week are formed from.

b) There are more than 4 letters that can't be taught using this method.

All the letters that cannot be taught using this method because no day of the week contains them include

B, C, G, J, K, L, P, Q, V, X, Z

c) In Tuesday, there are 7 distinct letters.

So, the sample space consist of 7 letters.

n(sample space) = 7

n(Y) = 1

Probability of picking a Y = (1/7)

The reasoning is simple, picking a Y on a Tuesday is one out of 7 possible outcomes, so, the probability of picking a Y on a Tuesday to teach the kid about = (1/7) = 0.143

Hope this Helps!!!

6 0
3 years ago
The cone below has a diameter of 12 units and a slant height of 10 units.Find the volume of the cone
jasenka [17]

Answer:

120

Step-by-step explanation:

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3 years ago
9. The 10,000 seat stadium is 89% full. How many people are watching the game inside the stadium? with solution pls. ​
Ksivusya [100]

Answer:1100

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your welcome

7 0
3 years ago
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5x + 2y = -10<br> 3x + y = 66<br><br> please show work
liq [111]

Answer:

x=142, y=-360. (142, -360).

Step-by-step explanation:

5x+2y=-10

3x+y=66

----------------

5x+2y=-10

-2(3x+y)=-2*66

-----------------------

5x+2y=-10

-6x-2y=-132

-------------------

-x=-142

x=142

3(142)+y=66

426+y=66

y=66-426

y=-360

8 0
2 years ago
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