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Lelu [443]
3 years ago
12

If Trent has 11 quarters and dimes in his pocket, and they have a combined value of 200 cents, how many of each coin does he hav

e?
Mathematics
1 answer:
allsm [11]3 years ago
4 0

Answer:

Trent has 6 quarters and 5 dimes.

Step-by-step explanation:

Consider the provided information.

Let q =  Number of quarters

d = Number of dimes.

Trent has 11 quarters and dimes.

q+d=11

q=11-d

The worth of a quarter is 25 cents.

The worth of a dimes is 10 cents

25q+10d=200

Substitute the value of q in above equation.

25(11-d)+10d=200

275-25d+10d=200

15d=75  

d=5  

Substitute the value of d in q=11-d

q=11-5

q=6

Hence, Trent has 6 quarters and 5 dimes.

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He drank 2 small bottles and 2 large bottles, for a total of 76 ounces. The day before, he drank 4 small bottles and 1 large bot
AVprozaik [17]

Answer: the small bottle holds 15 ounces while the large bottle holds 23 ounces.

Step-by-step explanation:

Let x represent the number of ounces that a small bottle holds.

Let y represent the number of ounces that a large bottle holds.

He drank 2 small bottles and 2 large bottles, for a total of 76 ounces. It means that

2x + 2y = 76 - - - - - - - - - - - - 1

The day before, he drank 4 small bottles and 1 large bottle, for a total of 83 ounces. This means that

4x + y = 83 - - - - - - - - - - - - -2

Multiplying equation 1 by 2 and equation 2 by 1, it becomes

4x + 4y = 152

4x + y = 83

Subtracting, it becomes

3y = 69

y = 69/3 = 23 ounces

Substituting y = 23 into equation 1, it becomes

2x + 2 × 23 = 76

2x + 46 = 76

2x = 76 - 46 = 30

x = 30/2 = 15 ounces

4 0
4 years ago
A little bit of help on my hw haha, will mark brainiest
Readme [11.4K]
B agree
A,c, d don’t make sense
6 0
3 years ago
The question is in the picture
AURORKA [14]

Answer:

B: 0.15

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please answer the question, and explain each step
natta225 [31]
The steps are shown here.

1) Factoring
2) Completing the square
3) Quadratic Formula
4) Graphing

So basically the answer would either be 5 or -5.
5 0
3 years ago
Help appreciated! (Will mark as Brainliest)
WARRIOR [948]

Answer:

trapezoid

Step-by-step explanation:

parallelograms require two sets of parallel lines while trapezoids do not, only requiring one set. it is possible to get a trapezoid with 2 90 degree angles.

3 0
3 years ago
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