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myrzilka [38]
3 years ago
6

Kevin and randy muise have a jar containing 87 ​coins, all of which are either quarters or nickels. the total value of the coins

in the jar is ​$12.55. how many of each type of coin do they​ have?
Mathematics
1 answer:
boyakko [2]3 years ago
4 0
Let x be the amount of nickels and y be the amount of quarters in a jar. Totally there are 87 coins, then x+y=87.

Since nickel is 5 cent coin and quarter is 25 cent coin, then 5x+25y=1255 ($12.55=1255 cents). Solve this system:x=87-y and 5(87-y)+25y=1255.
435-5y+25y=1255,
25y-5y=1255-435,

20y=820,
y=820÷20,
y=41,
x=87-41=46.
Answer: 46 nickels and 41 quarters.

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Find the 20th term of the following sequence.
Arlecino [84]
-6, -4, -2, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32
Answer: 32
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3 years ago
Type the correct answer in each box. Round your answers to two decimal places.
Veseljchak [2.6K]

The magnitude of the resulting vector, u - v, is approximately 5.83

and its angle of direction is approximately 59.04°.

<h3>How to find the magnitude of the resulting vector?</h3>

We want to subtract vector v from vector u.

We are given;

v = <2, -3> = 2i - 3j

u = <5, 2> = 5i + 2j

u - v = 5i + 2j - (2i - 3j)

= 5i + 2j - 2i + 3j

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Resultant vector = √34 ≈ 5.83

Angle of direction of resultant vector is;

tan θ = (5/3)

θ = tan⁻¹(5/3)

θ = 59.04°

Read more about Magnitude of Vector at; brainly.com/question/3184914

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3 0
1 year ago
3 divided by 5 (step by step)<br><br>​
snow_lady [41]

0. 6 0 0
5 3. 0 0 0
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6 0
3 years ago
14-(x+5)=3(x+9)-10 please help quick and show work!
avanturin [10]

Answer:

x=-2

Step-by-step explanation:

14-(x+5)=3(x+9)-10

14-x-5=3x+27-10

14-5-x=3x+17

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6 0
3 years ago
More help please !!!
butalik [34]

Answer:

(-2, 1).

Step-by-step explanation:

The x coordinates are -1 and -3 and the y coordinates are 4 and -2.

So the midpoint is (-1 + -3)/2,  ( 4 + -2) / 2

=  (-4/2, 2/2)

= (-2, 1).

4 0
3 years ago
Read 2 more answers
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