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2 years ago

Our pool is twice as long as it is wide and is surrounded by a walkway of uniform width of 1 foot. The

Mathematics

1 answer:

Zigmanuir [339]2 years ago

8 0

Step-by-step explanation:

x=width of pool

2x=length of pool

the dimensions of the rectangle forming the walkway and the pool are x+4 and 2x+4

the area of this rectangle minus the area of the pool is 196 square feet

(2x+4)(x+4)-(x)(2x)=196

2x^2+4x+8x+16-2x^2=196

combine similar terms

12x+16=196

12x=196-16

12x=180

x=180/12

x=15 feet is the width of the pool

check: 34*19-30*15=196

646-450=196

196=196

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Original amount = 80 dollars. 20 percent off is 64 dollars. 20 percent off is question mark.

lord [1]

Answer:

Step-by-step explanation:

80/100=0.8

0.8x60=48

7 0

2 years ago

A bag contains 2 black balls, 4 yellow balls and 4 white balls. Event A is defined as drawing a white ball on the first draw and

arsen [322]

Answer: $P(B|A)=\dfrac{4}{9}$

Step-by-step explanation:

Given: A bag contains 2 black balls, 4 yellow balls and 4 white balls.

Event A is defined as drawing a white ball on the first draw.

Event B is defined as drawing a black ball on the second draw.

P(B|A) is expressed as the conditional probability of occurring B given that A.

i.e. it is the probability of happening B where A is already happended.

If a white ball is drawn at first, then the number of black ball(4) remains unchanged but the total number of balls (10) will become 9.

$Probability=\dfrac{Number\ of \ favorable \ outcomes}{Total\ outcomes}$

Then, $P(B|A)=\dfrac{4}{9}$

8 0

2 years ago

Solution set of 3x - ( 2x + 8 )= -6

Hunter-Best [27]

3x - (2x + 8) = -6
3x -2x - 8 = -6
x - 8 = -6
x - 8 + 8 = -6 + 8
x = 2

6 0

3 years ago

In 20 seconds, a roller coaster goes up a 100-meter hill, then down 72 meters, and then back up a 48-meter rise. What integer re

Finger [1]

The question is an illustration of arithmetic operations.

The integer that represents the vertical rise is 76

<em>Upward movements are represented with positive, while downward movements are represented with negative.</em>

<em />

So, the given parameters are:

$Up = 100m$

$Down = -72m$

$Up= 48m$

The vertical rise is:

$Rise = Up_1 + Down + Up_2$

So, we have:

$Rise = 100m -72m +48m$

$Rise = 76m$

Hence, the integer that represents the vertical rise is 76

Read more about arithmetic operations at:

brainly.com/question/15385899

5 0

2 years ago

f^3+11g-4hf 3 +11g−4hf, cubed, plus, 11, g, minus, 4, h when f=3f=3f, equals, 3, g=2g=2g, equals, 2 and h=7h=7h, equals, 7.

Alik [6]

Given:

The expression is:

$f^3+11g-4h$

The given values are $f=3,\ g=2,\ h=7$ .

To find:

The value of the given expression for the given values.

Solution:

We have,

$f^3+11g-4h$

After substituting $f=3,\ g=2,\ h=7$ , we get

$f^3+11g-4h=(3)^3+11(2)-4(7)$

$f^3+11g-4h=27+22-28$

$f^3+11g-4h=49-28$

$f^3+11g-4h=21$

Therefore, the value of the given expression is 21.

8 0

2 years ago