The currency called the U.S dollar can be split into smaller forms or currency value of itself. Examples of these smaller forms are: dimes, nickels, pennies, and quarters.

Tammy has 23 nickels and 12 quarters.

Let's represent the number of:

Nickels = n

Quarters = q

It is important to note that the value of:

1 nickel = $0.05

1 quarter = $0.25

Tammy has 35 coins nickels and quarters. This statement can be represented using an algebraic equation below:

n + q = 35

This can be rewritten as :

n = 35 - q

In all, she has $4.15. This statement can be represented using an algebraic equation below:

0.05n + 0.25q = 4.15

We substitute 35 - q for n in the above equation.

0.05(35 - q) + 0.25q = 4.15

1.75 - 0.05q + 0.25q = 4.15

Collect like terms

- 0.05q + 0.25q = 4.15 - 1.75

0.2q = 2.4

Divide both sides by 0.2

0.2q/0.2 = 2.4/0.2

q = 12

Therefore, the number of quarters Tammy has is 12.

Solving for the number of nickels, we have the equation:

n = 35 - q

n = 35 - 12

n = 23

Therefore, the number of nickels Tammy has is 23.

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8 0

3 years ago

Which of the following expressions could give the total amount of a $45 restaurant bill with a 15% tip added on?

Elina [12.6K]

Answer:

Option B: 1.15($45) is the correct answer.

Step-by-step explanation:

Given that:

Total amount of restaurant bill = $45

Tip = 15%

As the bill would be 100% and a 15% tip will be added.

Thus total bill,

Total bill = (100+15)% = 115% of restaurant bill

Total bill = $\frac{115}{100}(45)$

Total bill = 1.15($45)

Hence,

Option B: 1.15($45) is the correct answer.

8 0

3 years ago

Read 2 more answers

A cell tower has the hieght of 70 meters. The Tower casts a shadow of 45 meters on the ground. What is the angle of elevation of

laiz [17]

Answer:

$\theta=0.99^{\circ}$

Step-by-step explanation:

Given that,

The height of a cell tower, P = 70 m

The tower casts a shadow of 45 meters on the ground.

We need to find the angle of elevation of the shadow to the top of the cell tower. We can use trigonometry to find it.

$\tan\theta=\dfrac{P}{B}$

Put all the values,

$\tan\theta=\dfrac{70}{45}\\\\\theta=\tan^{-1}\left(\frac{70}{45}\right)\\\\\theta=0.99^{\circ}$

Hence, the angle of elevation is equal to $0.99^{\circ}$ .

4 0

3 years ago

Convert 3.5 • 10^4 to standard form.

timofeeve [1]

$3.5\cdot10^4=35000$

7 0

4 years ago