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2 years ago

15

What is 3.1666666667 as a fraction

1 answer:

never [62]2 years ago

7 0

<span> 3 </span>1666666667⁄<span>10000000000

</span>

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Madi has $8.80 in pennies and nickels.

shepuryov [24]

Let p = number of pennies.
Let n = number of nickels.

We are given that n= 2p and the total value is $8.80.

We know that a penny = $0.01 and that a nickel = $0.05.

So $0.01p + $0.05n = $8.80.

Substitute 2p for n:
$0.01p + $0.05*2p = $8.80

$0.01p + $0.10p = $8.80

$0.11p = $8.80

p = 80
So n = 2p = 2*80 = 160

Thus there are 80 pennies ($0.8) and 160 nickels ($8.00). The value of all the coins is $8.80.

7 0

2 years ago

Which expression gives the distance between the points (5,1) and (9, -6)

mel-nik [20]

I believe you do
$x^{2} - x
 /y^{2} - y$

3 0

2 years ago

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The population of a town can be modeled by the regression equation y = 20,000(1.03x). Which is the best prediction for the popul

bixtya [17]

Answer:

The best prediction for the population in year 25 is $41,876\ people$

Step-by-step explanation:

we have a exponential function of the form

$y=a(b^{x})$

where

a is the initial value

b is the base

In this problem

$a=20,000\ people$

$b=1.03$

$b=1+r$

$r=b-1=1.03-1=0.03$

$r=3\%$

so

$y=20,000(1.03^{x})$

For $x=25\ years$

substitute

$y=20,000(1.03^{25})$

$y=41,875.56\ people$

Round up

$y=41,876\ people$

4 0

2 years ago

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Points H and F lie on circle c What is the length of line segment GH?

Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

$(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2}$ ......(ΔEGC is a right triangle)

$(GC)^{2} = (GE)^{2} +(EC)^{2}$

$(GH + 9)^{2} = (9)^{2} +(12)^{2}$

$(GH )^{2} + (9)^{2} + 18GH = 81 + 144$

$(GH )^{2} + 81 + 18GH = 81 + 144$

$(GH )^{2} + 18GH = 144$

Now, Let GH = <em>x</em>

$x^{2} +18x = 144$

On rearranging,

$x^{2} +18 x - 144 = 0$

$x^{2} - 6x +24x + 144 = 0$

$x (x-6) + 24 (x - 6) =0$

$(x - 6) (x + 24) = 0$

So x = 6 and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

3 0

2 years ago

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An astronomical unit (AU) is the average distance between Earth and the sun. One AU is equal to approximately 150,000,000 km. As

lozanna [386]

Answer:

Can u separate it?

Step-by-step explanation:

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2 years ago