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Vika [28.1K]
2 years ago
9

Amanda has 26 nickels and dimes in her piggy bank. the number of nickels is two fewer than three times the number of dimes. how

much money does she have in her piggy bank
Mathematics
1 answer:
vitfil [10]2 years ago
4 0
<span>Amanda has 26 nickels and dimes. We shall call nickels x and dimes y. We can write the following equations: x = 3y -2 or -x +3y = 2 x + y = 26 We can cancel out the x to give 4y = 28 or y = 7 If there are 26 coins in total and 7 of them are dimes then there must be 19 nickels. The number of nickels (19) is two fewer than three times the number of dimes ( 3(7) - 2 = 19).</span>
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A carnival has two payment options. Plan A, you pay $10 admission plus $3 for each ride. Plan B, you pay a $20 admission plus $1
stiks02 [169]
<span>Let x = # of rides

Plan A: 10 + 3x

Plan B: 20 + x

if x < 5 rides then plan A is better buy
if x = 5 both plans are the same
if x > 5 then plan B is the best buy

Prove:
x = 6 (rides)

plan A: </span>10 + 3x = 10 + 3(6) = 10+18 = $28
plan B: 20 + x = 20 + 6 = $26


3 0
1 year ago
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Sanjeet paid $32.85 for a file and 3 identical pens.Leon paid $83.50 for 2 such files and 8 such pens.Find the cost of 1 pen.
olga2289 [7]
1 file + 3 pens = $32.85     --------------- (1)
2 files + 8 pens = $83.50   ----------------(2)

(1) x 2 :
2 files + 6 pens = $65.70   ----------------(1a)

(2) - (1a) :
2 pens = $17.80
1 pen = $8.90

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Answer: One pen costs $8.90.
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5 0
2 years ago
Which option lists an expression that is not equivalent to 4 2/3?
I am Lyosha [343]

Answer:

Option A and Option B are not equivalent to the given expression.

Step-by-step explanation:

We are given the following expression:

4^{\frac{2}{3}}

Applying properties of exponents and base:

(a^x)^y = a^{xy}\\a^{-x}= (\frac{1}{a})^x\\

A. Using the exponential property a^{-x}= (\frac{1}{a})^x\\, we can write:

0.25^{\frac{3}{2}} = (\frac{1}{0.25})^{\frac{-3}{2}} = (4)^{\frac{-3}{2}}

which is not equal to the given expression.

B. Using the exponential property a^{-x}= (\frac{1}{a})^x\\, we can write:

(0.25)^{\frac{-3}{2}} = (\frac{1}{0.25})^{\frac{3}{2}} = (4)^{\frac{3}{2}}

which is not equal to the given expression.

C. First we convert the radical form into exponent form. Then by using the property (a^x)^y = a^{xy} of exponent, we can write the following:

^3\sqrt{16} = (16)^{\frac{1}{3}} = (4^2)^{\frac{1}{3}} = 4^{\frac{2}{3}}

which is equal to the given expression.

D. First we convert the radical form into exponent form. Then by using the property (a^x)^y = a^{xy} of exponent, we can write the following:

(^3\sqrt{4})^2 = (4^{\frac{1}{3}})^2 = 4^{\frac{2}{3}}

which is equal to the given expression.

Option D and Option C are equivalent to the given expression.

7 0
2 years ago
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Evaluate the expression. P(9, 3) · P(5, 4)
boyakko [2]

Answer:

P(9,3) *P(5,4)

And if we use the permutation formula given by:

nPx = \frac{n!}{(n-x)!}

And replacing we got:

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Step-by-step explanation:

For this problem we want to find the following expressionÑ

P(9,3) *P(5,4)

And if we use the permutation formula given by:

nPx = \frac{n!}{(n-x)!}

And replacing we got:

\frac{9!}{6!} \frac{5!}{4!}= 504*5 = 2520

6 0
2 years ago
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miv72 [106K]

Answer:

  y = -2

Step-by-step explanation:

Any asymptotes of a rational function will be described by the quotient of the numerator and denominator (excluding any remainder).

  f(x)=\dfrac{-2x}{x+1}=-2+\dfrac{2}{x+1}

The horizontal asymptote is ...

  y = -2

8 0
2 years ago
Read 2 more answers
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