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2 years ago

The length of a garden is 125% of its width. If the width of the garden is 8 meters, what is the area of the garden?

1 answer:

4 0

To find 125% of 8, it is easiest to first find 25% of 8 then multiply it by 5 since 125% is 5 times 25%.
To find 25% of 8, divide it by 4.
8 / 4 = 2
Multiply 2 by 5.
2 x 5 = 10
That means that the length of the garden is 10.
To find the area of the garden, multiply the length by the width.
10 x 8 = 80
The area of the garden is 80 m².
Hope this helps!

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Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this t

anygoal [31]

Answer:

Choice D - 8cm and 9cm.

Explanation:

The other sides are not greater than 13.

A: 5 + 8 = 13

B: 6 + 7 = 13

C: 7 + 2 = 9

However, D is greater than 13 and is the correct answer.

D: 8 + 8 = 16.

7 0

2 years ago

A shopkeeper buys pens at the rate of ₹ 75 per 100. for how much should he sell each pen so as to make a gain of 15%? please hel

Lady bird [3.3K]

Answer:

He should sell each pen of Rs.0.8625 so as to make a gain of 15%

Step-by-step explanation:

Cost price of 100 pens = Rs.75

Cost price of 1 pen= $\frac{75}{100}$ = 0.75

Gain%= 15%

Gain= $15%$ $X 0.75$ $= 0.1125$

SP = CP+Gain = 0.75+0.1125=0.8625

<u>So, He should sell each pen of Rs.0.8625 so as to make a gain of 15%</u>

#Learn more:

By selling 60 pens a shopkeeper gain the cp of 15 pen. If he bought 20 pens in rs36. Find the sp of one pen

brainly.in/question/15083989

https://brainly.in/question/7469007

3 0

2 years ago

What is the distance points for (2,-2) and (0,-9)

Ksivusya [100]

The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.

Step-by-step explanation:

The given is,

Two points are (2,-2) and (0,-9)

Step:1

By graphical method,

For two points (2,-2) and (0,-9)

First point (2,-2)

The values of x=2 and y=-9 noted in the graph

Second point (0,-9)

The values of x=0 and y=-9 noted in the graph

Now join the two points, measure the distance between the two points,

Distance between points are 7.3 units.

( OR )

Step:1

By formula method,

Distance = $\sqrt{(x_{2}- x_{2}) ^{2}+ (y_{2}-y_{1}) ^{2} }$

Where,

( 2,-2) are ( $x_{1},y_{1}$ )

(0,-9) are ( $x_{2},y_{2}$ )

From the values,

= $\sqrt{(0- 2) ^{2}+ (-9+2) ^{2} }$

= $\sqrt{(- 2) ^{2}+ (-7) ^{2} }$

= $\sqrt{4+49 }$

= $\sqrt{53}$

= 7.280

≅ 7.3

Distance = 7.3

Result:

The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.

5 0

2 years ago

what is the prime factorization of 55^5 x 65 x 9^15 and why? A. 3^15 * 5^6 *11^5*13 B. 3^30 *5^6 *11^5 *13 C.3^30 * 5^6 *11 * 13

leonid [27]

Answer:

Step-by-step explanation:

1. Lets focus on 55^5

55^5 = 11^5 * 5^5

2. now on 65

65 = 5 * 13

3. now on 9^15

9^15=(3^2)^15 = 3^30

4. combine all three parts

11^5 * 5^5 * 5 * 13 * 3^30 = 11^5*5^6*13*3^30

so our answer is B

7 0

2 years ago

An automobile insurance company issues a one-year policy with a deductible of 500. The probability is 0.8 that the insured autom

Effectus [21]

Answer:

y₀.₉₅ = 3659

Step-by-step explanation:

P( no accident ) = 0.8

P( one accident ) = 0

deductible = 500

mean = 3000

<u>Determine the 95th percentile of the insurance company payout </u>

Assuming : y =company payout , x =amount of loss incurred due to accident

Then :

P( x < 500 ) = 0.2 ( 1 - e^-500/3000)

= 0.2 ( 1 - e^-1/6 )

95th percentile =

= P( y < y₀.₉₅ ) 0.95

P( y = 0 ) = 0.8 + 0.2 ( 1 - e^-1/6 ) = 0.8307

attached below is the remainder of the solution

5 0

2 years ago