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kondor19780726 [428]
3 years ago
12

A garden measuring 10 meters by 7 meters is going to have a walkway constructed all around the perimeter, increasing the total a

rea to 130 square meters. What will be the width of the pathway?
Mathematics
1 answer:
SashulF [63]3 years ago
5 0

The width of the pathway is 3m

Step-by-step explanation:

Let the width of the pathway be 'w'

The area will be 130 square meters

The dimensions of the garden is 10 x 7

Area = (10+w) (7+w)

130 = 70 + 17w + w^2

w^2 + 17w - 60 = 0

w^2 +20w - 3w - 60 = 0

w ( w + 20) - 3 ( w + 20) = 0

(w + 20) (w - 3) = 0

w = -20 ( or) w = 3

w is the width and cannot be negative.

So, w = 3 meters

The width of the pathway is 3m

You might be interested in
A number is called evil if it has 666 in it. How many 7 digit numbers are evil?
defon

Step-by-step explanation:

There are 5 different positions of 666:

666////

/666///

//666//

///666/

////666

The forward dashes represent any number from 0 to 9.

Case 1: "666////"

Number of ways = 10⁴ = 10,000.

Case 2: The other positions.

Since the 1st forward dash cannot be 0 (leading digit),

Number of ways for each position = 9 * 10³ = 9,000

Number of ways for all 4 positions = 9,000 * 4 = 36,000.

Total evil numbers = 10,000 + 36,000 = 46,000.

5 0
2 years ago
Anu
bija089 [108]

Answer:

Circumference of Circle B=19.625cm

Step-by-step explanation:

The circumference formula is: 2pie(r) = pie(d)

We have diameter of the first circle which is 6. Now, because the diameter of second circle is 25% greater than this,

Hence, we add 25% in 6:

6+25/100 =6+0.25=6.25 cm

Therefore, we have diameter of 6.25 for circle B.

Now, we need to find the circumference of the Circle A.

circumference= pie(d) = pie(6)= 3.14times6= 18.84

Now use the proportional reasoning to find Circumference of Circle B:

circumference of Circle A/diameter Circle A = circumference of Circle B/diameter Circle B

18.84/6=circumference of Circle B/6.25

Cross multiply and divide:

(18.84times6.25)/6 = Circumference of Circle B

Solve:

Circumference of Circle B=19.625cm

Hope this helps!

Mark brainliest if you think i helped! Would really appreciate!

7 0
3 years ago
If y =- 5x + 3, find the value of x when y = 13.
zmey [24]

Answer:

x=2

Step-by-step explanation:

You would first subsitute the y with 13. The you would subtract 3 from 3 and 13. Then you would have  10=5x. Then you would divide 5 by 5 and 10. You will get x = 2  

:)

3 0
2 years ago
The perimeter of a triangle is 53 feet. One side of the triangle is 12 feet shorter than the second side. The third side is is 4
grandymaker [24]

Let the shortest side be = a, then side b = 2·a and side c = (b + 24)

We are given that a + b + c = 84

Substituting for b and c

a + 2·a + (a + 24) = 84

4·a + 24 = 84

4·a = 84 - 24 = 60

a = 60/4 = 15 feet

b = 2·15 = 30 feet

c = 15 + 24 = 39 feet


sorry if i am wrong

6 0
3 years ago
Read 2 more answers
Find the value of 7u+1 given that -5u-1=4
Ganezh [65]
<h3>Given:-</h3>

⟹-5u-1=4

⟹-5u=4+1

⟹-5u=5

⟹u=\frac{5}{-5}

<h3>⟹u=-1</h3>

<h3>Substitute The Value</h3>

⟹7u+1

⟹7×(-1) +1

⟹-7+1

<h3>⟹-6</h3>
5 0
2 years ago
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