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natali 33 [55]
2 years ago
7

Kendra has $3.15 in dimes and nickels. If she has 4 times as many dimes as nickels, how many of each coin does she have?

Mathematics
1 answer:
svetoff [14.1K]2 years ago
6 0
  • It is important to note that:

A nickel = $0.05

A dime = $0.10

We would be representing,

The number of nickels =  n

The number of dimes = d

  • Kendra has $3.15 in dimes and nickels. Writing this statement as an algebraic expression:

0.05n + 0.10d = 3.15...............Equation 1

  • She has 4 times as many dimes as nickels. The algebraic expression for this statement :

4n = d ........................................ Equation 2

We would substitute 4n for d in Equation 1

0.05n  + 0.10 x 4n = 3.15...............Equation 3

0.05n + 0.4n = 3.15

0.45n = 3.15

Divide both sides by 0.45

0.45n/0.45 = 3.15/0.45

n = 7

The number of nickels is 7

We solve for d, the number of dimes

4n = d

n = 7

4 x 7 = d

28 = d

The number of dimes is  28

Therefore, Kendra has 7 nickels and 28 dimes

To learn more, visit the link below:

brainly.com/question/14749963

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Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. a.)(x - 4)2 = 3 b.) (x - 3)2 = 2 c.)(x - 2)2 = 1 d.
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The answer is <span>a.)(x - 4)2 = 3.

(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b                                 ⇒ x² - 2ax + a² - b = 0

Our equation is                x² - 8x + 13 = 0.
The general formula is    x² - 2ax + (a² - b) = 0

Thus:
8x = 2ax    and a² - b = 13

Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a           ⇒ a = 8 ÷ 2 = 4

Replace a in the second equation (a² - b = 13):
4² - b = 13     ⇒ b = 4² - 13 = 16 - 13 = 3

Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3
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Step-by-step explanation:

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Our waitress was fantastic!! Matthew decided
bearhunter [10]

Hey!

-----------------------------------------------

Steps To Solve:

~Turn into decimal

15% = 0.15

~Multiply

25.65 x 0.15 = 3.8475

-----------------------------------------------

Answer:

Matthew will give the waitress $3.8475 for a tip.

-----------------------------------------------

Hope This Helped! Good Luck!

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3 years ago
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