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Tpy6a [65]
3 years ago
7

the grade 6 class harvested 3 1/4 kg tomatoes, 5 3/4 kg of eggplant and 2 1/2 kg of green pepper from their "gulsyan sa paaralan

". how many kilograms of vegetables did they harvest in all?​
Mathematics
1 answer:
Sonbull [250]3 years ago
6 0
3 1/4 + 5 3/4 + 2 1/2 = x
Convert 2 1/2 to a fraction over 4

3 1/4 + 5 3/4 + 2 2/4 = 10 6/4 = 11 2/4 = 11 1/2 kg of vegetables
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mihalych1998 [28]

Answer:

y=76 degree(being vertically opposite angle)

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76+x=180

x=180-76

x=104 degree

x=z(being vertically opposite angle)

104=z

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Step-by-step explanation:

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Find a solution to the following system of equations.<br> -2x + y = -3<br> -x + 2y = 3
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Step-by-step explanation: 3+2=5

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A parabola whose equation is y = (x - 5)^2 - 2 has a vertex at _____.
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Dmitriy789 [7]

Answer:

Two of the statements apply:

  • Second statement: Binh should have graphed the y-intercept of y = x - 3 at (0, - 3)

  • Last statement: Binh should have found the point of intersection to be (1, - 2).

Explanation:

1. Line 1

     y=-\dfrac{1}{2}x-\dfrac{3}{2}

2. Line 2

    y=x-3

3.  Binh’s Graph on a coordinate plane, a line with equation y = x - 3 goes through (- 3, 0) and (0, 3).

This is wrong because the point (-3, 0) is not on the line y = x - 3:

  • x = -3 ⇒ y = -3 - 3 = -6 ⇒ (-3,-6)

The other point, (0, 3) is wrong too

  • x = 0 ⇒ y = 0 - 3 = - 3 ⇒ (0, -3) This is the y-intercept

4. A line with equation y = -(1/2)x - (3/2) goes through (- 3, 0) and (1, -2).

Check the points:

  • x = -3 ⇒ y = -(1/2)(-3) - 3/2 = 3/2 -3/2 = 0 ⇒(-3,0) \checkmark

  • x = 1 ⇒ y = -(1/2)(1) - 3/2 = -1/2 -3/2 = -2  ⇒ (1, - 2)\checkmark

Both points are correct

5. Binh says the point of intersection is (0, –3). Which statements identify the errors Binh made?

<em>Binh listed the coordinates in the wrong order when describing the point of intersection on his graph?</em>

  • No, his error was on the procedure, look below

<em>Binh should have graphed the y-intercept of y = x - 3 at (0, - 3)?</em>

Correct!

  • This was one of the errors, as shown above the y-intercept of the line y = x - 3 is (0, -3) and not (0, 3).

<em>Binh should have graphed the y-intercept of y = x - 3 at (0, 1)?</em>

  • No. it is (0, 3) as stated above.

<em>Binh should have graphed the y-intercept of y = -(1/2)x -3/2 at (0, -1/2)?</em>

No, this is wrong:

  • The y-intercept is y = 0 - 3/2  = -3/2 ⇒ (0, -3/2)

<em>Binh should have found the point of intersection to be (1, - 2).</em>

Correct!

Yes, the solution of the equation is (1, -2) and he should have found that intersection point. Proof:

  • x - 3 = -1/2x - 3/2
  • x + 1/2x = 3 - 3/2
  • 3/2x = 3/2
  • x = 1

  • y = x - 3 ⇒ 1 - 3 = - 2

Thus, the point of intersection is (1, -2).

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