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DiKsa [7]
3 years ago
7

Paul has thirteen coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.55. Which

system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?
A.
x + y = 13
0.25x + 0.5y = 3.55

B.
x + y = 13
0.25x + 0.05y = 3.55

C.
x + y = 13
25x + 5y = 3.55

D.
x + y = 3.55
0.25x + 0.05y = 13
Mathematics
2 answers:
PtichkaEL [24]3 years ago
7 0

Answer:

The answer is B

Blizzard [7]3 years ago
6 0
X + y = 13 0.25x + 0.5y
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Help. Find the value of x to the nearest tenth
vodka [1.7K]

I will assume that line 4 bisect line x exactly in half. This means that if we solve the last side of the triangle like seen in the pic below we will know what half of line x is

To find the length of the last side of the triangle (let's call this y) you must use Pythagorean theorem

a^{2} +b^{2}=c^{2}

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = 4

b = y

c = 6

^^^Plug these numbers/variables into the theorem

4^{2} +y^{2} =6^{2}

solve for y

16 + y^{2}  = 36

y^{2} = 20

x = √20

x ≈ 4.472

^^^This is only half of x so if you double it then it will get you the full length of x

4.472 * 2 = 8.944

8.9 (D)

Hope this helped!

~Just a girl in love with Shawn Mendes

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