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lora16 [44]
3 years ago
12

There are 12 tomato plants in a garden. Each plant has 7 branches ad each branch has 4 tomatoes growing on it. If one-third of t

he tomatoes are picked, how many tomatoes were picked
Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0

Answer:

112

Step-by-step explanation:

  • 4*7=28
  • 28*12=336
  • 336*(1/3)=112
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Follow the process of completing the square to solve x^2 - 10x + 8 = 0. What is the value of the constant that will be isolated
My name is Ann [436]
To solve using completing square method we proceed as follows:
x^2-10x+8=0
x^2-10x=-8
but
c=(b/2)^2
c=(10/2)^2=25
thus we can add this in our expression to get
x^2-10x+25=8+25
factorizing the LHS we get:
(x-5)(x-5)=33
(x-5)^2=33
getting the square roots of both sides we have:
x-5=+/-√33
x=5+/-√33
7 0
3 years ago
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Tom bought n DVDs for a total cost of 15n - 2 dollars. Which expression represents the cost of each DVD?
Gala2k [10]

A. n ( 15.n - 2 )

eg n = 2

2 ( 15.2 - 2)

2 ( 30 - 2)

2 (18)

36 = 18 + 18

3 0
3 years ago
Oliver sewed a quilt 3 2/3 feet long and 2 1/4 feet wide. what is the area of her quilt?
Hunter-Best [27]

Answer:

8.25 feet

Step-by-step explanation:

3 2/3 times 2 1/4 equals 8.25

4 0
2 years ago
Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

\sqrt{(x+3)^2+(y-3)^2}

and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
3 years ago
In a video store, a DVD that sells for $15 is marked "10% off." What is the discount? What is the sale price of the DVD?
Margarita [4]

Answer:

it will be 1.50$ off as the discount so sold for 13.50 is the sale price

8 0
3 years ago
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