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Orlov [11]
3 years ago
9

. A garden measuring 12 m by 16 m is to have a pedestrian pathway that is ???????? meters wide installed all the way

Mathematics
1 answer:
Radda [10]3 years ago
4 0

Answer:

1.5m

Step-by-step explanation:

Let the length of the pathway across all its side be x. This means we are adding a length of 2x to both the length and breadth to 12+2x and 16+2x respectively.

The new area thus becomes:

(12+2x)(16+2x) = 285

24x + 32x + 192 + 4x^2 = 285

4x^2 + 56x + 192 = 285

4x^2 + 56x + 192 - 285 =0

4x^2 + 56x -93 = 0

4x^2 + 62x - 6x - 93 = 0

2x( 2x + 31) - 3(2x + 31) = 0

(2x - 3)(2x + 31) = 0

This means x = 3/2 or -31/2

Since length cannot be negative , we choose the first and neglect the second meaning our answer is 3/2 which is 1.5 meters

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Create an expression equivalent to 3 (4x -2) -5x+10 using the least number of terms. please show your work.
marusya05 [52]

Answer:

7x+4

Step-by-step explanation:

Distribute:

=(3)(4x)+(3)(−2)+−5x+10

=12x+−6+−5x+10

Combine Like Terms:

=12x+−6+−5x+10

=(12x+−5x)+(−6+10)

=7x+4

7 0
3 years ago
Please please help!!!! According to the probability distribution below, what is the expected value of X? X 0 1 2 3 4 5 P(X) 0.3
Novay_Z [31]

Answer:

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Step-by-step explanation:

The expected value of a probability distribution is evaluated using the formula.

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Therefore, from the given probability distribution, we have:

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The Expected value of X is 1.78.

The correct option is D.

4 0
3 years ago
The pyramid of khagra,in Egypt,is 488 feet tall. The Eiffel Tower,in France,is 1,063 feet tall. How much taller is the Eiffel To
steposvetlana [31]

Answer:

The Eiffel Tower in France is 575 feet taller than pyramid of khagra.          

Step-by-step explanation:

We are given the following in the question:

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Height of Eiffel Tower in France = 1,063 feet

Difference in height =

= Height of Eiffel Tower in France - Height of pyramid of khagra

=1063 - 488\\= 575\text{ feet}

Thus, the Eiffel Tower in France is 575 feet taller than pyramid of khagra.

7 0
3 years ago
How do you rewrite 3x-9y=18 as a slop-intercept form?
Norma-Jean [14]
I believe it would be y=-1/3x-2
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3 years ago
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soldier1979 [14.2K]

Answer:

25.1 kg

Step-by-step explanation:

A suitable probability calculator can tell you the 5th percentile of this distribution.

7 0
3 years ago
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