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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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The equation of a circle is ​ (x−11)2+(y+15)2=144 ​ .<br><br> What is the circle's radius?
yuradex [85]
The equation of a circle is (x-h)^2+(y-k)^2=r^2, where (h,k) is the center and r is the radius.
To find the radius, we would find the square root of 144, which is 12.
r=12

:)
3 0
3 years ago
Read 2 more answers
Stem | leaf
dalvyx [7]
Answer: 24

explanation: mode is the value that repeats most often. so, in this case, 24 repeats the most often.
7 0
2 years ago
What are the weights (in Newton’s) for the given masses 22.1,33.5,41.3,59.2,78
Blababa [14]

Answer:

1. 216.8 N

2.328.635 N

3. 405.153 N

4. 580.752 N

5. 765.18 N

Step-by-step explanation:

1. Let the mass is 22.1 kg, then the weight in Newton will be (22.1 × 9.81) = 216.8 N {Where acceleration due to gravity is 9.81 m/sec²}

2. Let the mass is 33.5 kg, then the weight in Newton will be (33.5 × 9.81) = 328.635 N {Where acceleration due to gravity is 9.81 m/sec²}

3. Let the mass is 41.3 kg, then the weight in Newton will be (41.3 × 9.81) = 405.153 N {Where acceleration due to gravity is 9.81 m/sec²}

4. Let the mass is 59.2 kg, then the weight in Newton will be (59.2 × 9.81) = 580.752 N {Where acceleration due to gravity is 9.81 m/sec²}

5. Let the mass is 78 kg, then the weight in Newton will be (78 × 9.81) = 765.18 N {Where acceleration due to gravity is 9.81 m/sec²}

(Answer)

4 0
3 years ago
What is the sum of the measures, in degrees, of the interior angles of a 25-sided polygon?
inna [77]
Exterior angle = 360/25 =  14.4 degrees

internal angle = 180-14.4 = 165.6 degrees

sum of all the angles = 165.6*25 = 4140 degrees answer
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Identify the type of savings fund that is best suited for each situation,
Snezhnost [94]

Answer:

Step-by-step explanation:

1. Sinking Fund: Expenses like these are predictable. You know exactly when they’re going to come due, and you know at least approximately how much they’re going to cost"

So we have: down payment for a car, saving to start a business, saving for a college education

2. Rainy-Day Fund: unexpected expense you have to pay,

So we have: plumbing expenses, paying to fix a broken air conditioner, unexpected travel expense, plumbing expenses

4 0
2 years ago
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