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3 years ago

Answer the following questions 0.2 is what percent of 1 3/5 ? plzzz help me

Mathematics

1 answer:

liraira [26]3 years ago

6 0

Answer:

1 3/5 = 8/5

.2=2/100

Step-by-step explanation:

make an equality:

x/(8/5)=2/100

it kinds looks weird on here but write it out on paper

then cross multiply:

100x=(2)(8/5)

100x=16/5

now divide each side by 100:

x=4/125

same for the second one:

make an equality:

x/2=2/100

cross multiply:

100x=(2)(2)

100x=4

x=1/25

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How far does the tip of the minute hand of a clock move in 1 hour and 27 minutes if the hand is 2 inches long?

Nesterboy [21]

So, a full circle has 360°, thus when the minute hand does one hour, it does a full circle, therefore 360°.

now, how many degrees are there in 1 minute? well, there are 60 minutes in 360°, therefore there are 360/60 degrees in 1 minute, or 6°.

now, we know in 1 hour there are 360°, how many in 27 minutes? well, 27 * 6, or 162°. So after 1hr and 27min, the minute hand has done 360+162 or 522°.

we also know the minute hand is 2 inches long, thus

$\bf \textit{arc's length}\\\\
s=\cfrac{\pi \theta r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=2\\
\theta =522
\end{cases}\implies s=\cfrac{\pi \cdot 522\cdot 2}{180}$

which is roughly 18 inches rounded up.

5 0

3 years ago

If a car is going 100 mph how long will it take to go 1,045 miles

shepuryov [24]

Answer:

10.45

Step-by-step explanation:

because you divide 1,045 by 100.

8 0

3 years ago

Please help me with this

Molodets [167]

Answer:

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Step-by-step explanation:

6 0

3 years ago

What is the inverse function of 15x + 14

Hitman42 [59]

The inverse fraction of 15x+14 is f^-1 (x)= x/15-14/15

3 0

3 years ago

Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose tha

san4es73 [151]

Answer:

0.2364

Step-by-step explanation:

We will take

Lyme = L

HGE = H

P(L) = 16% = 0.16

P(H) = 10% = 0.10

P(L ∩ H) = 0.10 x p(L U H)

Using the addition theorem

P(L U H) = p(L) + P(H) - P(L ∩ H)

P(L U H) = 0.16 + 0.10 - 0.10 * p(L u H)

P(L U H) = 0.26 - 0.10p(L u H)

We collect like terms

P(L U H) + 0.10P(L U H) = 0.26

This can be rewritten as:

P(L U H)[1 +0.1] = 0.26

Then we have,

1.1p(L U H) = 0.26

We divide through by 1.1

P(L U H) = 0.26/1.1

= 0.2364

Therefore

P(L ∩ H) = 0.10 x 0.2364

The probability of tick also carrying lyme disease

P(L|H) = p(L ∩ H)/P(H)

= 0.1x0.2364/0.1

= 0.2364

3 0

3 years ago