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Vika [28.1K]
3 years ago
4

The diameter of the planet Saturn is about 70,000 miles. Karen built a model of Saturn. The diameter of her model is 5 inches. W

hich is the scale of Karen's model?
Mathematics
1 answer:
saul85 [17]3 years ago
3 0

Answer:

1:887040000

Step-by-step explanation:

The unit conversation of mile to inch is below

1 mile =

63360 inches

So let's know the value of 70 000 miles to inch

70,000 miles= 70000*63360

70,000 miles = 4435200000

Let's divide the value in miles by 5

4435200000/5 = 887040000

The scale is 1:887040000

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Jake made a total of 7 copies at a copy shop, with some being black-and-white copies and some being color copies. Black-and-whit
Arada [10]
Jake spent a total of 70 cents.
b = black-and-white = 8 cents
c = color = 15 cents

70 = 8b + 15c

he made a total of 7 copies
b + c = 7

system of equation:
70 = 8b + 15c
b + c = 7

--------------------------

b + c = 7
b + c (-c) = 7 (-c)
b = 7 - c

plug in 7 - c for b

70 = 8(7 - c) + 15c
Distribute the 8 to both 7 and - c (distributive property)

70 = 56 - 8c + 15c
Simplify like terms

70 = 56 - 8c + 15c
70 = 56 + 7c

Isolate the c, do the opposite of PEMDAS: Subtract 56 from both sides

70 (-56) = 56 (-56) + 7c
14 = 7c

divide 7 from both sides to isolate the c

14 = 7c
14/7 = 7c/7
 c = 14/7
 c = 2

c = 2
---------------

Now that you know what c equals (c = 2), plug in 2 for c in one of the equations.
b + c = 7
c = 2
<em>b + (2) = 7
</em><em />Find b by isolating it. subtract 2 from both sides
b + 2 = 7
b + 2 (-2) = 7 (-2)
b = 7 - 2
b = 5

Jake made 5 black-and-white copies, and 2 color copies

hope this helps
8 0
4 years ago
Read 2 more answers
1. A legal business that makes high-interest loans based on the value of personal possessions is
laiz [17]

Answer:

D. Pawnbroker

Step-by-step explanation:

8 0
3 years ago
Help me plz
irakobra [83]

Answer:

I could do 1 and 3

1) 2x-3y=-2 ....1

-

2x+y=14......2

=-4y=-16

y=4

<u>Substitute</u><u> </u><u>(</u><u>y</u><u>=</u><u>4</u><u>)</u><u> </u><u>into</u><u> </u><u>equation</u><u> </u><u>1</u>

2x-3 (4)=-2

2x-12=-2

2x=-2+12

2x=10

×=5

3) 5x+5y=20....1

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-3x+5y=4......2

=8x=16

x=2

<u>S</u><u>ubstitute</u><u> </u><u>(</u><u>x</u><u>=</u><u>2</u><u>)</u><u> </u><u>into</u><u> </u><u>equation</u><u> </u><u>1</u>

<u>5</u><u> </u><u>(</u><u>2</u><u>)</u><u>+</u><u>5y</u><u>=</u><u>20</u>

<u>10</u><u>+</u><u>5y</u><u>=</u><u>20</u>

<u>5y</u><u>=</u><u>20-10</u>

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5 0
3 years ago
Read 2 more answers
#10 Solve the problem using the unpaid balance method.
Advocard [28]
Hi there!
The answer is as follows:

Finance charge = $0.14
To get this you need to take the account balance on April 1st and subtract the payment of $51.00 multiply by the annual rate of 18%, which looks like this:

$60.15 - $51.00 = $9.15 × 0.18 = 1.647
Then you divide your answer by 12 for the months of the year to get:

1.647 ÷ 12 = 0.13725
Which rounds to $0.14 for you finance charge

New balance = $100.56
To get this you take the account balance on April 1st and subtract the payment of $51.00 and then add the purchase of $91.27 and the finance charge of $0.14, like so:

$60.15 - $51.00 = $9.15 + $91.27 + $0.14 = $100.56

Your friend, ASIAX
3 0
3 years ago
Subtract. Write your answer in simplest form.<br><br> 9 1/2 - 1 6/7
Aleonysh [2.5K]
The correct answer is 7 9/14, I have provided my work shown below

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3 years ago
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