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loris [4]
3 years ago
8

Sasha has 3.20 in U.S. coins. She has the same number of quarters and nickels. What is the greatest number of quarters she could

have?
Mathematics
2 answers:
RSB [31]3 years ago
8 0

Answer:

10 quarters = $2.50

10 nickels = $0.50

that leaves $0.20 for other coins (dimes / pennies)

Step-by-step explanation:

First, suppose she has only quarters and nickels and no other coins.  Then if C is the identical number of coins of each type, then 5C + 25C = 320, so 30C = 320 and 3C = 32, but there is no integer solution to this.  So she must have at least one other type of coin.

Assume she has only quarters, nickels, and dimes.  Then if D is the number of dimes, 5C +  25C + 10D = 320, which means 30C + 10D = 320, or 3C + D = 32.  The smallest D can be is 2, leaving 3C = 30 and thus C = 10.  So in this scenario she would have 10 quarters, 10 nickels, and two dimes to make $2.50 + $0.50 + $0.20 = $3.20.

This has to be the highest number, because if she had 11 quarters and 11 nickels, that alone would add up to 11(0.25) + 11(0.05) = $3.30, which would already be too much.

Nataly_w [17]3 years ago
3 0

Answer:

2.50 coins

Step-by-step explanation:

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Answer:

The intersection point  of the given lines is  (1,1).

Step-by-step explanation:

Here, the given equations are:

y  =  - 2 x +  3

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Substitute y = x in  the first equation,

y   = -2 x  +  3 becomes      y =  -2 (y)  + 3

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or, 3 y = 3  ⇒  y = 3/3 = 1

⇒  y =  1

Now, as x =  y ⇒ x =   1

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3 years ago
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Solve this problem, which steps would you take? Include any theorems, definitions, or reasons that explain the steps. Make sure
posledela

Answer:

∠A=123°.

Step-by-step explanation:

From the given figure it is clear the CD and CE are two tangent lines on circle with center A.

Radius is perpendicular to the tangent at the point of tangency.

\angle ADC=90^{\circ}

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It means central angle DAE is (5x-2)°.

\angle DAE=(5x-2)^{\circ}

Now, ADCE is a quadrilateral and sum of all angles of a quadrilateral is 360 degrees.

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