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2 years ago

Carl reads for an average of 1hr25min each night. How many hours does he read in 4 weeks? Enter a mixed number.

Mathematics

1 answer:

Vanyuwa [196]2 years ago

7 0

Answer:

39 2/3

Step-by-step explanation:

First we will write 1 hour and 25 minutes as a mixed number. Since there are 60 minutes in an hour, this gives us

1 25/60

We can simplify this fraction, since both the numerator and denominator are divisible by 5:

1 (25÷5)/(60÷5) = 1 5/12

This is the fraction of hours he reads per nights. There are 7 nights in a week:

(1 5/12)(7) = 17/12(7/1) = 119/12

He reads for 4 weeks:

119/12(4/1) = 476/12

12 will go into 476 39 times, with 8 left over:

39 8/12

Both 8 and 12 are divisible by 4:

39 (8÷4)/(12÷4) = 39 2/3

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irinina [24]

<h3>Radius as function of volume is:</h3>

$r(v) = \sqrt{\frac{3v}{20 \pi }}\ inches$

Solution:

The volume of cone is given as:

$v = \frac{1}{3}\pi r^{2} h$

Where,

r is the radius

h is the height

From given,

height = 20 inches

From formula,

$v = \frac{1}{3}\pi r^{2} h$

Rearrange , so that r is alone in left side of equation

$3v = \pi r^2 h\\\\\pi r^2 h = 3v\\\\r^2 = \frac{3v}{\pi h}\\\\Take\ square\ root\ on\ both\ sides\\\\r = \sqrt{\frac{3v}{\pi h}}$

Substitute h = 20

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Thus, radius as function of volume is:

$r(v) = \sqrt{\frac{3v}{20 \pi }}\ inches$

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2 years ago

the weight of a bag of golf balls varies directly as the number of golf balls in the bag.If a bag of 69 gold balls weighs 2,553

seropon [69]

Answer: 30

Step-by-step explanation:

Given :The weight of a bag of golf balls varies directly as the number of golf balls in the bag.

Let x be the number of golf balls in a bag that weighs 1,110 grams.

Then we have the following direct variation equation,

$\dfrac{x}{1110}=\dfrac{69}{2553}$

Multiply 1110 both sides , we get

$x=\dfrac{69}{2553}\times1110=30$

Hence, there are 30 balls in the bag.

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2 years ago

Tiffany put a $1550 item on layaway by making a 20% down payment and agreeing to pay $120 a month. How many months sooner would

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1550*0.8=1240

1240/120 = approximately 11 months to pay off

1240/180=approximately 7 months to pay off

11-7 =4

so it would be paid off 4 months sooner, so C is the answer

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2 years ago

Read 2 more answers

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My name is Ann [436]

The volume of a rectangular prism:

$V_p=Bh\\\\B=wl\\\\w=2\ in;\ l=3\ in;\ h=9\ in$

substitute

$V_p=2\cdot3\cdot9=54\ in^3$

The volume of a cylinder:

$V_c=\pi r^2h\\\\r=1.5\ in;\ h=8\ in$

substitute:

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2 years ago

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We simply need to solve for the circumference of the imaginary circle.

Given:
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Circumference = 2 * radius * π OR Circumference = diameter * π

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2 years ago