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Sav [38]
3 years ago
13

Stronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approxim

ately 5,880,000,000,000 miles. Suppose a star is 14.4 light-years from Earth. In scientific notation, how many miles away is it
5.88 x 1013 miles 1.44 x 1012 miles 5.88 x 1012 miles 8.4672 x 1013 miles
Mathematics
1 answer:
Komok [63]3 years ago
4 0
This is one of those problems where you don't actually have to know anything. The only answer that is any combination of the two given numbers is the last one:
.. 8.4672*10¹³ miles

_____
That result is the product of 5.88*10¹² and 14.4.
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A collection of nickels and dimes is worth $9.45. If the number of dimes is doubled, the value is
eduard

Answer:

The number of nickels is 45 and the number of dimes is 72.

Step-by-step explanation:

Let

x ----> number of nickels

y ----> number of dimes

Remember that

1\ nickel=\$0.05

1\ dime=\$0.10

so

0.05x+0.10y=9.45 ------> equation A

0.05x+0.10(2y)=16.65

0.05x+0.20y=16.65 ------> equation B

<em>Solve the system by substitution</em>

we have

0.05x+0.10y=9.45 ------> equation A

0.05x+0.20y=16.65 ------> equation B

Multiply both equations by 100 both sides

5x+10y=945 ---->5x=945-10y --> equation C

5x+20y=1,665 ----> equation D

substitute equation C in equation D

(945-10y)+20y=1,665

solve for y

945+10y=1,665

10y=1,665-945

10y=720

y=72\ dimes

Find the value of x

5x=945-10y

5x=945-10(72)

5x=225

x=45\ nickels

<em>Alternative Method</em>

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is the point (45,72)

therefore

The number of nickels is 45 and the number of dimes is 72.

7 0
3 years ago
Figures are similar. Find x.
katrin [286]

Answer:

24.3

Step-by-step explanation:

18/20 = x/20 (similar triangles)

8 0
3 years ago
ben drives from a 36- foot platform. The equation h= -16t^2+14t+36 models the dive. How long will it take Ben to reach the water
Valentin [98]
So you want to plug in the height for h and solve for t

36 = -16t^2+14t+36
So you get 14/16 which simplifies to
7/8 seconds

Hope this helped!
6 0
3 years ago
How do I do this? We’re using laws of sine to figure out the answer
Tanya [424]
A triangle have 180 degrees, 44°+75° is 119°, if u want the AC degree it’s 180°-119° so the answer is 61
8 0
3 years ago
Read 2 more answers
Fraction less than 1/2. 3/4 1/6 6/12 4/10 5/8 5/2
N76 [4]
Fractions less than 1/2 are 1/6 & 4/10.
Fractions greater than 1 are 5/4 & 15/12.
Fractions closer to 0 than to 1 are 1/8, 1/4, & 3/10.
5 0
3 years ago
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