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Vlada [557]
3 years ago
10

A bank contains 35 coins, all nickels and quarters. The total value of coins is $8.15. How many of each coin does the bank conta

in?
Mathematics
1 answer:
Lina20 [59]3 years ago
5 0

n + q = 35

n = 35-q

0.05n + 0.25q = 8.15

0.05(35-q) +0.25q = 8.15

1.75 -0.05q + 0.25q =8.15

1.75 + 0.20q = 8.15

0.20q = 6.40

q = 6.40 / 0.20 = 32

32 quarters and 3 nickels

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kompoz [17]

Answer:

an open circle on -1.3 on the line and draw a line to the right with an arrow.

Step-by-step explanation:

On your number line, draw an open circle on -1.3 and then draw a line on the number line going to the right and ending with an arrow at the end.  The open circle means that it is that starting point, but is not equal to it.

5 0
3 years ago
Use the diagram. AB is a diameter, and AB is perpendicular to CD. The figure is not drawn to scale.
Westkost [7]

Answer:

The measure of arc BD is 147°

Step-by-step explanation:

we know that

If segment AB is perpendicular to segment CD

then

The measure of the inner angle CPA is a right angle (90 degrees)

Remember that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

so

m∠CPA=(1/2)[arc AC+arc BD]

substitute the given values

90°=(1/2)[33°+arc BD]

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7 0
3 years ago
Can you help me please ​
alexira [117]

Answer:

Please check the explanation.

Step-by-step explanation:

Given that

|v|=38

Ф = 120°

<u>Finding the horizontal component</u>

The horizontal component can be obtained using the formula

Vx = |v| cos Ф

     = 38 cos 120°

     = 38 (-0.5)

      = -19

Thus, the  horizontal component is:

Vx = -19

<u>Finding the vertical component</u>

The vertical component can be obtained using the formula

Vy = |v| sin Ф

    = 38 sin 120°

    = 38 (0.86)

    = 32.68

Thus, the vertical component is:

Vy = -19

  • A vector 'v' with magnitude |v| and direction Ф can be written as:

v = |v| cos Ф i + |v| sin Ф j

As

|v|=38

Ф = 120°

Thus, the vector is

v = 38 cos 120° i + 38 sin 120° j

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v = -19 i + 32.68 j

5 0
2 years ago
Is 8 cm larger than 3/8 inch
Hoochie [10]
Nope. 3/8 an inch is 0.9525 cm. 
7 0
3 years ago
1/6 is equal to what
Anastasy [175]

1/6 = 0.1666, the last number repeating to infinity, or a repeating decimal.

Hope helps!-Aparri

6 0
3 years ago
Read 2 more answers
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