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uranmaximum [27]
3 years ago
6

Sally gave her brother $3.95 in quarters and dimes. If the number of quarters is 6 more than the number of dimes, how many quart

ers did Sally give her brother?
Mathematics
2 answers:
Vanyuwa [196]3 years ago
5 0
7 dimes and 13 quarters is the exact change
Lera25 [3.4K]3 years ago
5 0

Answer:  Sally gave 13 quarters to her brother.

Step-by-step explanation: Given that Sally gave her brother $3.95 in quarters and dimes and the number of quarters is 6 more than the number of dimes.

We are to find the number of quarters that Sally gave her brother.

Let, 'x' and 'y' represents the number of quarters and dimes that Sally gave her brother.

Then, according to the given information, we have

x=y+6~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\\dfrac{1}{4}x+\dfrac{1}{10}y=3.95\\\\\\\Rightarrow \dfrac{5x+2y}{20}=3.95\\\\\\\Rightarrow 5x+2y=79~~~~~~~~~~~~~~~~~(ii)

Substituting the value of 'x' from equation (i) in equation (II), we get

5(y+6)+2y=79\\\\\Rightarrow 5y+30+2y=79\\\\\Rightarrow 7y=79\\\\\Rightarrow y=7.

From equation (i), we get

x=y+6=7+6=13.

Thus, Sally gave 13 quarters to her brother.

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Answer:

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Step-by-step explanation:

5 0
3 years ago
Please try to help if you can.
PolarNik [594]

The equation of the sinusoidal function is y = -2sin(x + 1.5) - 3

<h3>The sinusoidal function</h3>

The minimum and the maximum of the function are

  • Minimum = -1
  • Maximum = -5

The amplitude (A) is calculated as:

A = 0.5 * (Maximum - Minimum)

So, we have:

A = 0.5 * (-5 + 1)

A = -2

The vertical shift (d) is calculated as:

d = 0.5 * (Maximum + Minimum)

So, we have:

d = 0.5 * (-5 - 1)

d = -3

The period (P) is calculated as:

P = 2π/B

From the graph,

B = 1

So, we have:

P = 2π/1

P = 2π

So, the amplitude is -2 and the period is 2π.

<h3>The equation of the sine function</h3>

In (a), we have:

A = -2

B = 1

d = -3

A sine function is represented as:

y = A sin(Bx + C) + D

So, we have:

y = -2sin(x + C) - 3

The graph passes through the point (0, -5)

So, we have

-5 = -2sin(0 + C) - 3

Solve for C, we have

C = 1.5

So, we have:

y = -2sin(x + 1.5) - 3

Hence, the equation of the sinusoidal function is y = -2sin(x + 1.5) - 3

Read more about sinusoidal function at

brainly.com/question/10700288

#SPJ1

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