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attashe74 [19]
3 years ago
5

Jay ate 2/3 of a pizza. Dan ate 4 times the amount of jay ate . How much did dan eat

Mathematics
1 answer:
erica [24]3 years ago
8 0

Answer:

Dan eat 2\frac{2}{3} pizzas

Step-by-step explanation:

Let

x-----> amount of pizza Jay ate

y-----> amount of pizza Dan ate

we know that

x=\frac{2}{3} ----> equation A

y=4x -----> equation B

substitute equation A in the equation B and solve for y

y=4(\frac{2}{3})=\frac{8}{3}

Convert to mixed number

\frac{8}{3}=\frac{6}{3}+\frac{2}{3}=2\frac{2}{3}

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2 years ago
Calculate the factorization 16w^2+48w+36=(4w+[1])^2
stiv31 [10]

Answer:

  [1] = 6

  x = -3/2 is the root

Step-by-step explanation:

A perfect square trinomial is of the form ...

  (a + b)² = a² +2ab +b²

You have ...

  • a²=16w²   ⇒   a = 4w
  • b² = 36   ⇒   b = 6
  • 2ab = 2(4w)(6) = 48w

Then the factorization is ...

  16w² +48w +36 = (4w +6)²

This will be zero when x = -6/4 = -3/2.

3 0
3 years ago
Write the equation of the line in point-slope form that goes through the points (0, 1) and (2, 7)
laiz [17]

Answer:

point - slope form

 y - 1 = 3 (x-0)

Step-by-step explanation:

<u><em>step(i):-</em></u>

Given points are (0,1) and (2,7)

The slope of the line

     m = \frac{y_{2}-y_{1}  }{x_{2} -x_{1} }

    m = \frac{y_{2}-y_{1}  }{x_{2} -x_{1} } = \frac{7-1}{2-0} = \frac{6}{2}  = 3

  m =3

<u><em>Step(ii):-</em></u>

point -slope form

   y - y₁ = m(x-x₁)

Equation of the straight line passing through the point (0,1) and having slope 'm' = 3

   y - 1 = 3 (x-0)

  y -1 = 3x

 3x - y +1=0

Equation of the straight line passing through the point (0,1) and having slope 'm' = 3 is 3x -y +1=0

4 0
2 years ago
Jason spent half of his allowance going to the movies. He washed the family car and earned seven dollars. What is his weekly all
Delvig [45]
13-7=6
6 times 2 =12
his weekly allowance is 12
6 0
2 years ago
Read 2 more answers
Simplify (2x + 3)(x – 4) = ?
Lina20 [59]
Use the FOIL method (first, outside, inside, last) to multiply:

2x^2-8x+3x-12

This can be simplified even more into:

2x^2-5x-12.

Hope this helped!
5 0
3 years ago
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