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blondinia [14]
3 years ago
14

A swimming pool is open for 7 1/2 hours a day. The pool keeps one life guard on duty at a time, and each life guard shift is 1 1

/2 hours long. How many shift per day?
Mathematics
1 answer:
melisa1 [442]3 years ago
5 0

There are 5 shifts per day

<em><u>Solution:</u></em>

Given that, A swimming pool is open for 7\frac{1}{2} hours a day

The pool keeps one life guard on duty at a time

Each life guard shift is 1\frac{1}{2} hours long

<em><u>To find: Number of shifts per day</u></em>

From given,

\text{ Number of hours } =7\frac{1}{2} = \frac{2 \times 7 + 1}{2} = \frac{15}{2}

\text{Each life guard shift }= 1\frac{1}{2} = \frac{3}{2} \text{ hours }

Therefore, number of shifts per day is found by dividing total number of hours by hours of each life guard shift

\text{Number of shifts per day } = \frac{\text{Total number of hours}}{\text{each life guard shift }}

Substituting the values we get,

\text{Number of shifts per day } = \frac{\frac{15}{2}}{\frac{3}{2}}\\\\\text{Number of shifts per day } = \frac{15}{2} \times \frac{2}{3}\\\\\text{Number of shifts per day } = 5

Thus there are 5 shifts per day

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o-na [289]
Perimeter of a rectangle= 2(length)+2(width)

Data:
Perimeter=108 cm
length=18 cm

therefore:
108 cm=2(18 cm)+2(width)
108 cm=36 cm+2 (width)
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Answer: the width of the picture frame would be 36 cm.
7 0
3 years ago
Please help im going to cry
bearhunter [10]

Answer:

  Stock A

  • d(1 +0.05)
  • 1.05d
  • d +0.05d

  Stock B

  • d -0.05d
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  • 0.95d

Step-by-step explanation:

When we say something is increased (or decreased) by a percentage, we mean that the percentage of the original amount is added to (or subtracted from) the original amount.

Of course, you know that 5% = 5/100 = 0.05, so that an increase of 5% in d would be ...

   d + 0.05d . . . . . 5% of the original amount (d), added to d

Factoring out d gives another version of this expression:

  d(1 +0.05)

and combining the numbers gives yet another version of the same expression:

  1.05d

These are the ways that the increase in Stock A can be expressed:

  d +0.05d

  d(1 +0.05)

  1.05d

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Similarly, if the "increase" is negative, as for Stock B, we can use the same sorts of expressions. +0.05 gets replaced by -0.05, but the form of the expression is the same.

  d - 0.05d . . . . . the original amount decreased by 5%

  d(1 -0.05) . . .  . .d factored out

  0.95d . . . . . . . . the numerical coefficient simplified

4 0
3 years ago
If the perimeter of a rectangle is 42 cm and the area is 98 square cm, then what are the dimensions of the rectangle?
Natalka [10]

we are given that the perimeter of the rectangle is 42cm

the formula for the perimeter of the rectangle is 2(l+b)

where l= length and b=breadth

so,

equating the above two equations we get

2(l+b)=42

(l+b)=42/2

l+b=21..........................(1)

we are given the area of the rectangle to be 98sq cm

the formula for the area of the rectangle is l*b.

so,

equating the above two equations we get

l*b=98

l=98/b

equating the above equation in equation 1 in we get,

98/b +b=21

(98+b²)/b=21

98+b²=21b

b²- 21b + 98 = 0

(b-7)(b-14)=0

thus we have

b-7=0

b=7

and

b-14=0

b=14

equating both the values of b in equation (1)

when b=7

l+b=21

l+7=21

l=21-7

l=14

and

when b=14

l+b=21

l+14=21

l=21-14

l=7

since breath, can't be longer than length, thus b=7 and l=14.

thus the rectangle has a length of 14 cm and a breath of 7cm

Define the length and breadth/width of a rectangle.

Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's length is its longer side, while its width is its shorter side.

to learn more about parameters and areas visit:

brainly.com/question/19819849

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7 0
1 year ago
write a subtraction equation that equals -4 and includes a number divisible by 7 and a number divisible by 2​
horsena [70]
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Any of these should work and there are plenty more that would work as well
5 0
3 years ago
Supposed gasoline cost $2.54 per gallon how much would it cost to fill a 12 gallon tank
NemiM [27]

It will cost $30.48 to fill a 12 gallon tank.

Step-by-step explanation:

Given,

Cost of gasoline = $2.54 per gallon

Number of gallons in tank = 12 gallons

Cost of 12 gallons = Cost of gasoline per gallon * Number of gallons

Cost of 12 gallons = 2.54 * 12

Cost of 12 gallons = $30.48

It will cost $30.48 to fill a 12 gallon tank.

Keywords: multiplication

Learn more about multiplication at:

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