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BaLLatris [955]
4 years ago
9

There are a total of 15 dimes and quarters in a covered cup. The value of all 15 coins totals 2.85

Mathematics
1 answer:
QveST [7]4 years ago
6 0

Answer:

There are 6 dimes and 9 quarters.

Step-by-step explanation:

Represent the number of dimes and the number of quarters by d and q.

Then d + q = 15, or q = 15 - d.

Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.

Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or

75 - 5d + 2d = 57, or

75 - 3d = 57, or

3d = 18.  Thus, there are 6 dimes.  Since q = 15 - d, q = 15 - 6 = 9.

There are 6 dimes and 9 quarters.

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lbvjy [14]

Answer:

m > -5

Step-by-step explanation:

Divide your inequality by the coefficient of m, which is -3. Doing that requires you reverse the comparison symbol:

(-3m)/(-3) > (15)/(-3)

m > -5

_____

The comparison symbol is reversed whenever an inequality is multiplie or divided by a negative number. You might be able to see why when you look at the relation between a couple of integers:

-2 < -1

2 > 1 . . . . . . multiply the above by -1

Multiplying by a negative number effectively reflects the comparison across the center of the number line. As we know from looking in a mirror; reflection reverses left and right, so numbers that were farther to the right (more positive) are now farther to the left (more negative).

6 0
3 years ago
Find all polar coordinates of point P = (6, 31°).
wel

as far as I can tell, is just a matter of going around the circle many or infinite times around.

so 6,31° is the first point, the next point will be one-go-around, 6, 31+360 => 6, 391°

then the next will be 6, 391+360 => 6, 751° and so on.

so we can say is (6, 31° ±360°n), n ∈ ℤ.

6 0
3 years ago
Deron recorded his heart rate as 204 beats in 3 minutes. What is the unit rate in beats per minute?
Reika [66]
204/3 = 68
68 beats per minute
7 0
3 years ago
Read 2 more answers
Please answer this question in the attachment below
Westkost [7]

Mark me brainliest if it helps you

6x-1 = 4x + 6 [ all sides of square are equal]

6x-4x = 6+1

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x = 3.5 cm

3 0
2 years ago
(5x - y) + (2x + 6y)<br> What’s the answer
Yuri [45]

Answer:

7x+5y

Step-by-step explanation:

Combine like terms:

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Hope this helped!

6 0
3 years ago
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