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Aleks04 [339]
2 years ago
7

Determine what the solution is to the following system? Y=3/4x-1 & y=4/3x-1

Mathematics
1 answer:
vichka [17]2 years ago
4 0

Answer:

(0, -1)

Step-by-step explanation:

There are multiple ways of solving this however- since both equations are already in Y-Intercept form, we will use the "Equal Values Method"

First, since both equations are equal to Y, we can set them equal to each other and solve for X

\frac{3 }{4} x - 1 =  \frac{4}{3} x - 1

To start, you must eliminate the fraction using a "fraction buster" multiply EVERYTHING by 4 then simplify.

3x - 4 = 5 \frac{1}{3}x  - 4

Since we still have a fraction, we shall do it one more time. This time we multiply by 3

9x - 12 = 6 x - 12

Now, solve how you normally would.

9x = 6x

-6x

3x = 0

X = 0

Now, since we know what X would equal in the solution, we are able to plug in X as 0 in one of our equations. We can choose the first one!

y =  \frac{3}{4} (0) - 1

Now solve which would lead to y = -1

You have your solution as

(X,Y)

(0,-1)

Hope this helps!

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Linda is playing a game where she is trying to draw a diamond from a standard deck of cards. If she doesn't get a diamond, she r
atroni [7]

Answer:

The answer would be 0.2%

Step-by-step explanation:

There's 52 cards in a standard deck of cards and a set of 4 for each different symbol. 100% of the deck would be 52 cards and each deck has 4 suits and each suite has 13 cards and 75% of the cards aren't the diamond Linda is looking for so it would be a slim to none chance on pulling a diamond out of the deck and shuffling the deck each time makes it worse so it gives her like a 0.2% chance of pulling a diamond.

Hope this helps :))

7 0
2 years ago
Read 2 more answers
Circle P is divided into four central angles by the diameters AC and BD.
Vanyuwa [196]

Answer:

m∠CPD = 129.75°

Step-by-step explanation:

m∠APD + m∠APB = 180 since the angles are supplementary

x + 1 + 3x - 18 = 180

4x - 17 = 180

4x = 197

x = 49.25

m∠APB = 3(49.25) - 18 = 129.75

m∠APB = m∠CPD because the angles are vertical angles

m∠CPD = 129.75°

8 0
2 years ago
Write an equivalent
erma4kov [3.2K]

Answer:

By substituting the value of the variable and simplifying it with the equation you get 158.

3 0
3 years ago
Wheel A is 56 inches. The diameter of wheel B is 35 inches. Suppose each
krek1111 [17]

Answer:

990 inches

Step-by-step explanation:

I will ASSUME that BOTH wheel dimensions given are diameters and the wheels begin at the same point and are moving in the same direction.

circumference is πD

15π56 - 15π35 = 15π(56 - 35) = 15π21 = 15(22/7)21 = 990 inches

7 0
2 years ago
I need Help ASAP!!! Please
Irina-Kira [14]

You can plug 1350 or less watts without overloading the circuit.

Step-by-step explanation:

Given,

Circuit overloads at = 2400 watts

Electricity consumed by portable heater = 1050 watts

Let,

x be the additional number of watts you can plug in.

Portable heater + additional watts ≤ Overloading limit

1050 + x ≤ 2400

Subtracting 1050 from both sides

1050-1050+x\leq 2400-1050\\x\leq 1350

You can plug 1350 or less watts without overloading the circuit.

Keywords: inequality, subtraction

Learn more about subtraction at:

  • brainly.com/question/10736268
  • brainly.com/question/10764770

#LearnwithBrainly

8 0
3 years ago
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