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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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7 0
2 years ago
A wholesale club sells eggs by the dozen. Does the table show a proportional relationship between the number of dozens of eggs a
tensa zangetsu [6.8K]

Answer: The table is proportional.

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3 years ago
What is the product of the 2 solutions of the equation x^2+3x-21=0
Advocard [28]
X²+3x-21=0

1) we solve this square equation:
x=[-3⁺₋√(9+84)] / 2=(-3⁺₋√93)/2
We have two solutions:
x₁=(-3-√93)/2
x₂=(-3+√93)/2

2) we compute the product of the 2 solutions found.
[(-3-√93)/2][(-3+√93)/2] =(-3-√93)(-3+√93) / 4=
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Answer: the product of the 2 solutions of this equation is -21
3 0
3 years ago
A right triangle has side lengths 7, 24, and 25 as shown below.
ddd [48]

Answer:

Steps below

Step-by-step explanation:

The value depends on which angle is B, suppose ∠B is the opposite angle of side length 7

sin B = 7/25

cos B = 24/25

tan B = 7/24

if ∠B opposite to side length of 24

sin B = 24/25

cos B = 7/25

tan B = 24/7

4 0
2 years ago
Whitewater Rentals has 39 canoes and 25 solo kayaks. The canoes rent for $45 for a six-hour trip. The solo kayaks rent for $49 f
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$2,424 was collected for the day
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$2,424
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2 years ago
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