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3 years ago

10

Divide and simplify 28 yd 2 ft 6 in ÷ 6

1 answer:

LUCKY_DIMON [66]3 years ago

3 0

Answer:

4 yd 2 ft 5 in

Step-by-step explanation:

One straightforward way to do this is to convert to inches and back:

28 yd 2 ft 6 in = (28 yd)(36 in/yd) + (2 ft)(12 in/ft) + 6 in

= 1008 in + 24 in + 6 in = 1038 in

Then your division problem looks like ...

(1038 in)/6 = 173 in

Converting this back to yards, feet, and inches can proceed like this ...

(173 in)/(36 in/yd) = 4 yd remainder 29 in . . . . . find the number of yards first

= 4 yd + (29 in)/(12 in/ft) = 4 yd 2 ft 5 in . . . . . then find feet and inches

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The volume of a cone is 20pi cubic meters. What is the volume of a cylinder with the same base and height?

Sergeu [11.5K]

Recall, the volume of a cone is 1/3pi times radius of base times height.
$V cone_{} = \frac{1}{3} * \pi *r^2*h$

Volume of a cylinder is the same but without the 1/3
$V cyl_{} = \pi*r^2*h$

It gives you the cone volume 20pi and that the radius and height of both of them are the same values.
$20 \pi= \frac{1}{3} \pi r^2h$
$V cyl_{}= \pi r^2h$

since it says the radius and height are the same for both , you can equate the two, you can solve both equations for r^2*h and then equate what is on the other side.
$60=r^2h
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4 0

3 years ago

What is −1.64 as a mixed number in simplest form.

Llana [10]

Answer:

$-1\dfrac{16}{25}$

Step-by-step explanation:

$-1.64 = \dfrac{-164}{100}$

Strike with 4th table

$= \dfrac{-41}{25}= -1\dfrac{16}{25}$

4 0

3 years ago

jim ordered a sports drink and three slices of pizza for $8.50. His friend ordered two sports drink and two slices of pizza for

inna [77]

Answer:

drink cost: $1.75
slice of pizza cost: $2.25

Step-by-step explanation:

Let d and p represent the costs of a drink and a pizza slice, respectively. The two orders have a value ...

d + 3p = 8.50

2d + 2p = 8.00

Subtracting the second equation from twice the first gives ...

2(d +3p) -(2d +2p) = 2(8.50) -(8.00)

4p = 9.00 . . . . . simplify

p = 2.25 . . . . . . divide by 4

Solving the first equation for d and putting in the value, we have

d = 8.50 -3p = 8.50 -3·2.25 = 8.50 -6.75

d = 1.75

The cost of a drink is $1.75; the cost of a pizza slice is $2.25.

4 0

3 years ago

What’s this answer ????????

Paraphin [41]

2= f/8

Mutiply both sides by 8

(2/(8)= 16

f/8(8)= f ( crossed out 8 and 8)

Answer: f= 16

3 0

3 years ago

Read 2 more answers

Joe heard from a reliable source that only 22% of people actually sleep 8 hours or more per night. You do a survey and find 58 o

Juliette [100K]

Answer:

95% Confidence interval: (31.32%,47.04%)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 148

Number of people who sleep for 8 hours or longer, x = 58

$\hat{p} = \dfrac{x}{n} = \dfrac{58}{148} = 0.3918$

95% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting the values, we get:

$0.3918\pm 1.96(\sqrt{\dfrac{0.3918(1-0.3918)}{148}})\\\\ = 0.3918\pm 0.0786\\\\=(0.3132,0.4704)=(31.32\%,47.04\%)$

(31.32%,47.04%) is the required 95% confidence interval.

8 0

3 years ago