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Zolol [24]
3 years ago
6

What is the value of y in the solution to the system of equations? 1/3x + 1/4y = 1 2x-3y=-30​

Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0

Answer:

<h2>y = 8</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}\dfrac{1}{3}x+\dfrac{1}{4}y=1&\text{multiply both sides by 12}\\2x-3y=-30\end{array}\right\\\left\{\begin{array}{ccc}12\!\!\!\!\!\diagup^4\cdot\dfrac{1}{3\!\!\!\!\diagup_1}x+12\!\!\!\!\!\diagup^3\cdot\dfrac{1}{4\!\!\!\!\diagup_1}y=12\cdot1\\2x-3y=-30\end{array}\right\\\left\{\begin{array}{ccc}4x+3y=12\\2x-3y=-30&\text{multiply both sides by (-2)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}4x+3y=12\\-4x+6y=60\end{array}\right}\qquad\text{add both sides of the equations}

.\qquad9y=72\qquad\text{divide both sides by 9}\\.\qquad y=8

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8% as a fraction in simplest form
masha68 [24]

Answer: 2/25

Step-by-step explanation:

8% means 8/100

To reduce to the simplest fraction, divide through with a common factor of 4

Divide numerator by 4 = 2

Divide denominator by 4 = 25

Therefore, 8% = 2/25

I hope this helps.

3 0
3 years ago
What would (4,3) be after it is reflected to the y=x
Paul [167]

Answer:

(3,4)

Step-by-step explanation:

The amount of steps applied from the reflection line to the point would be also applied inversely to the image point (after reflection).

From y=x to (4,3), it goes 1 down and also goes 1 right. (NOTE: It does not go down and right. Instead, it goes <em>either</em> down and right)

So now inverse that to make 1 up and also going 1 left.

5 0
3 years ago
The area of a rectangle is 21 cm². If one side exceeds the other by 4 cm, find the dimensions of the rectangle.​
Over [174]

Answer:

3cm and 7cm

Step-by-step explanation:

The length is 7cm.

The width is 3cm.

Area = Length × Width = 7cm × 3cm = 21cm²

7 0
2 years ago
PLEASE HELP!! NO LINKS!! GIVING 20 POINTS AWAY!!
shutvik [7]

Answer:

m\angle N = 32\degree

m\widehat {NQ}=106\degree

Step-by-step explanation:

By inscribed angle theorem:

m\angle N = \frac{1}{2} \times m\widehat {MP}

m\angle N = \frac{1}{2} \times 64\degree

m\angle N = 32\degree

Again by inscribed angle theorem:

m\angle P= \frac{1}{2} \times m\widehat {NQ}

53\degree = \frac{1}{2} \times m\widehat {NQ}

2\times 53\degree = m\widehat {NQ}

m\widehat {NQ}=106\degree

5 0
3 years ago
The length of a field is 100 yards and its width is 75 yards. If 1 inch represents 25 yards, what would be the dimensioi
Ilia_Sergeevich [38]

Answer:

b. 4 inches by 3inches.

Step-by-step explanation:

Length on the paper = 100/25 = 4 inches

Width  on the paper = 75/25 = 3 inches.

7 0
2 years ago
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