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Lostsunrise [7]
2 years ago
5

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
1 answer:
IceJOKER [234]2 years ago
3 0

Answer:

The answer is B

Step-by-step explanation:

you know that x is quarters which is .25 and you know that y is nickels which is .05

there are a total of 13 coins in the bank so x+y = 13

you also know that the 13 coins = 3.55

so plug in all that you know and the problem is

0.25x + 0.05y = 3.55

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Find the surface area of the prism. Write your answer as a fraction or mixed number.
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Answer:

The surface area of the prism is 8/3ft²

Step-by-step explanation:

To calculate the surface area of the prism we have to use the following formula:

a = area

w = side = 2/3 ft

h = height = 2/3 ft

l = length = 2/3 ft

a = 2 * (w * h) + 2 * (w * l) + 2 * (h * l)

we replace the values that ​​we know        

v = 2 * (2/3 ft * 2/3 ft) + 2 * (2/3 ft * 2/3 ft) + 2 * (2/3 ft * 2/3 ft)

v = 2 * 4/9ft²  + 2 * 4/9ft²  + 2 * 4/9ft²

v = 8/9ft²  + 8/9ft²  + 8/9ft²

v = 24/9ft²

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The surface area of the prism is 8/3ft²

5 0
3 years ago
Read 2 more answers
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Ronch [10]

Answer:

m<-5

Step-by-step explanation:

5m<-25

m<-25/5

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4 years ago
Estimate square root of 12 to the nearest tenth.<br><br> A 4.5<br> B 3.9 <br> C 4.1<br> D 3.5
Sholpan [36]

Answer:

  3.5

Step-by-step explanation:

As a first approximation of the square root, you can look at the integers relating the given number to the next lower square number. The next lower square number is 3^2 = 9.

  12 = n^2 +r = 3^2 +3 . . . . . n = 3, r = 3

The approximate square root is ...

  n +r/(2n+1) = 3 +3/7 ≈ 3.429

This value tends to be a little low. Alternatively, the root can be estimated as ...

  n +r/(2n) = 3 +3/6 = 3.5

This value tends to be a little high.

A reasonable estimate of √12 is 3.5.

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Of course, your calculator can tell you instantly that the root is about 3.464102, close to 3.5.

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<em>Additional comment</em>

The relation we used above simplifies the work of linear interpolation between the points (9, 3) and (16, 4) on the square root curve. For some n between 9 and 16, the interpolated root value r would be found from ...

  (n -9)/(16 -9) = (r -3)/(4 -3)

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  r = 3 +(n -9)/7 = 3 +(12 -9)/7 = 3 +3/7 . . . . as above

Note that "r" is used for "root" in this discussion. In the above answer, "r" is used for "remainder."

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3 years ago
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Answer: 8 feet, D

Step-by-step explanation:

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I am Lyosha [343]
You can subtract to find the other part
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