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Talja [164]
3 years ago
5

frank is wrapping a present. the box measures 6 cm wide by 9 cm long by 5.1 cm tall.what amount of wrapping paper,not counting o

verlap ,will frank need
Mathematics
1 answer:
Montano1993 [528]3 years ago
3 0
(2 × (6cm x 9cm)) + (2 × (6cm x 5.1cm)) + (2 × (9cm x 5.1cm)) = 261 square cm
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Please show working out thanks
IgorLugansk [536]

Answer:

10m x 15m

Step-by-step explanation:

You are given some information.

1. The area of the garden: A₁ = 150m²

2. The area of the path: A₂ = 186m²

3. The width of the path: 3m

If the garden has width w and length l, the area of the garden is:

(1) A₁ = l * w

The area of the path is given by:

(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36

Multiplying (2) with l gives:

(3) A₂l = 6l² + 6lw + 36l

Replacing l*w in (3) with A₁ from (1):

(4) A₂l = 6l² + 6A₁ + 36l

Combining:

(5) 6l² + (36 - A₂)l +6A₁ = 0

Simplifying:

(6) l² - 25l + 150 = 0

This equation can be factored:

(7) (l - 10)*(l - 15) = 0

Solving for l we get 2 solutions:

l₁ = 10, l₂ = 15

Using (1) to find w:

w₁ = 15, w₂ = 10

The two solutions are equivalent. The garden has dimensions 10m and 15m.

3 0
3 years ago
A musician is ordering custom T-shirts to sell at concerts. The shirt company charges $5 for each plain T-shirt, and another $3
Leviafan [203]
Options for the question needed
3 0
3 years ago
Graph the line with slope -3 passing through the point (3,-4)
Vinvika [58]

Given: \textsf{Slope = -3, Passes through (3, -4)}

Find:  \textsf{Equation in slope-intercept form}

Solution: The first step that we need to take is to plug the given values into the point-slope formula which would help us out since we have both the slope and a point.  Using that we would then distribute on the right side of the expression and then subtract 4 from both sides which would isolate y.

<u>Plug in the values</u>

  • y - y_1 = m(x - x_1)
  • y - (-4) = -3(x - 3)

<u>Distribute</u>

  • y + 4 = (-3 * x) + (-3 * - 3)
  • y + 4 = -3x + 9

<u>Subtract 4 from both sides</u>

  • y + 4 - 4 = -3x + 9 - 4
  • y = -3x + 9 - 4
  • y = -3x + 5

Therefore, after plugging in the values and completing the rest of the steps we were able to determine that equation of the data provided would be y = -3x + 5.

7 0
1 year ago
I am in need of assistance
vivado [14]

1. To find the x-intercept, replace y in the equation with 0, then solve for x.

... To find the y-intercept, replace x in the equation with 0, then solve for y.

If the equation is easily put into the form

... x/a + y/b = 1

Then the x-intercept is "a" and the y-intercept is "b".

2. Let's graph 3x+4y = -12.

If we divide the equation by -12, we can put it into the form

.. x/(-4) + y/(-3) = 1

This equation has x-intercept -4 and y-intercept -3.

(If you know the intercepts, you can simply draw the line through them to graph your linear equation.)

3 0
3 years ago
What is the compatable number of 358
balandron [24]
The answer is about 60ish. Hope this helped.   :-)
6 0
3 years ago
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