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julsineya [31]
3 years ago
10

A tree in Michael's yard has 120 leaves and loses an average of 4.5 leaves each day. A tree in Heather‘s yard has 45 leaves and

gains an average of 0.5 leaves each day. Right and solve an equation to find the number of days it will take for both trees to have an equal number of leaves
Mathematics
1 answer:
kaheart [24]3 years ago
7 0

Answer:

60 days

Step-by-step explanation:

You might be interested in
30°<br> 8 + 6x<br> 4x + 2 <br> in a triangle
andrey2020 [161]

Answer:

x=12

Step-by-step explanation:

Simplifying

30 + 4x + 2 = 8 + 6x

Reorder the terms:

30 + 2 + 4x = 8 + 6x

Combine like terms: 30 + 2 = 32

32 + 4x = 8 + 6x

Solving

32 + 4x = 8 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

32 + 4x + -6x = 8 + 6x + -6x

Combine like terms: 4x + -6x = -2x

32 + -2x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0

32 + -2x = 8 + 0

32 + -2x = 8

Add '-32' to each side of the equation.

32 + -32 + -2x = 8 + -32

Combine like terms: 32 + -32 = 0

0 + -2x = 8 + -32

-2x = 8 + -32

Combine like terms: 8 + -32 = -24

-2x = -24

Divide each side by '-2'.

x = 12

Simplifying

x = 12

4 0
3 years ago
Please someone help me with this word problem for my math class T.T
olga55 [171]

Answer:

<u>Perimeter</u>:

= 58 m (approximate)

= 58.2066 or 58.21 m (exact)

<u>Area:</u>

= 208 m² (approximate)

= 210.0006 or 210 m² (exact)

Step-by-step explanation:

Given the following dimensions of a rectangle:

length (L) = \sqrt{252} meters

width (W) = \sqrt{175} meters

The formula for solving the perimeter of a rectangle is:

P  = 2(L + W) or 2L + 2W

The formula for solving the area of a rectangle is:

A = L × W

<h2>Approximate Forms:</h2>

In order to determine the approximate perimeter, we must determine the perfect square that is close to the given dimensions.  

13² = 169

14² = 196

15² = 225

16² = 256

Among the perfect squares provided, 16² = 256 is close to 252 (inside the given radical for the length), and 13² = 169 (inside the given radical for the width).  We can use these values to approximate the perimeter and the area of the rectangle.

P  = 2(L + W)

P = 2(13 + 16)

P = 58 m (approximate)

A = L × W

A = 13 × 16

A = 208 m² (approximate)

<h2>Exact Forms:</h2>

L = \sqrt{252} meters = 15.8745 meters

W = \sqrt{175} meters = 13.2288 meters

P  = 2(L + W)

P = 2(15.8745 + 13.2288)

P = 2(29.1033)

P = 58.2066 or 58.21 m

A = L × W

A = 15.8745 × 13.2288

A = 210.0006 or 210 m²

8 0
2 years ago
A lot for sale is shaped like a trapezoid. The bases of the trapezoid represent the widths of the front and back yards. The widt
Rasek [7]

Answer

Front yard is 20 square root 5 back yard and height is 40 square root 5

Step-by-step explanation:

1. set up A=1/2 H(b1+b2)

2. 6000=1/2 2x (2x+x)

3. 12000=6x^2

4.2000 = x^2

5. x=20 square root 5

8 0
3 years ago
A simple dart target has two concentric circles. The larger circle has a radius of 4. The smaller circle has a radius of 2. The
Natali5045456 [20]

Answer:

3 times more.

Step-by-step explanation:

The odds of landing a dart in any of the circles correspond to the surface area of the circle.

Calculate the surface area of both circles:

The formula for the area of a circle is \pi r^{2}.

  • inner circle: A=\pi 2^{2}=12.566
  • for the outer circle, use the formula then subtract the value of the inner circle, to find the remaining area: A=(\pi 4^{2} )-12.566=37.699

Calculating greater chance:

Divide the larger area by the smaller area:

37.699/12.566 = 3

That means that the area of the outer circle is 3 times larger, making it 3 times more likely to hit the outer circle. Therefore the points for hitting the inner circle should be 3 times more.

7 0
3 years ago
What is the value of 1/2 x 2/3 in simplest form
Dominik [7]

Answer:

1/3

Step-by-step explanation:

First I covert them into decimals. 1/2= 0.5 and 2/3=0.66667 then I just multiplied those together and that was 0.33333 then I made it into a fraction.

Hope this helps

Please mark me as Brainliest

4 0
3 years ago
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