All categories

3 years ago

gabby's piggy bank contains dimes and nickels worth $6.40. If she has 84 coins in all, how many of each does she have?

1 answer:

5 0

If we let Q be the number of quarters and N be number of nickels, this is the formula we would use:
[1] 25Q + 5N = 635 (using cents instead of dollars)

We also know something about Q and N.

[2] Q + N = 51

So multiply both sides of the second equation by 5. The reason we do this is because we're going to need to cancel out one of the variables (either Q or N) to solve for the other one. If we multiply times 5, we'll have 5N in both equations.
5Q + 5N = 255

Now we have two equations, and the second one can be subtracted from the first.

25Q + 5N = 635
-(5Q + 5N) = -255
---------------------
20Q = 380
so
Q = 19

There are 19 quarters.

And since there are 51 coins in all, 51-19 = 32 nickels.

You might be interested in

(03.04) Calculate the average rate of change for the given graph from x = -2 to x = 0 and select the correct answer below. parab

aleksley [76]

Answer: 3

Step-by-step explanation: the answer is 3 believe me

4 0

3 years ago

Read 2 more answers

ill in the missing numbers along the sides of the triangle so that it contains each of the numbers from through exactly once.

mihalych1998 [28]

Each side of the triangle should contain four numbers whose sum is 28.

3+5+9+11=28

3+10+8+7=28

11+6+9+7=28

The pain of numbers that can be used for A and B is [5,9] The pain of numbers that can be used for C and D is [10,8] and the pain of numbers that can be used for E and f is [6,4].

<h3>What are the 3 sides of a triangle?</h3>

The hypotenuse of a right triangle is its longest side; its "opposite" side is the one that faces the angle in question; and its "adjacent" side is the one that faces it. We use special terminology to define the sides of right triangles.

We use special terminology to define the sides of right triangles.

The side opposite the right angle is always the hypotenuse of a right triangle. It is the longest side in a right triangle.

The opposing and neighboring sides are the other two sides. The labels on these sides relate to an angle.

One side is across from another at a particular angle.

To learn more about sides of a triangle visit:

brainly.com/question/9449776

#SPJ4

5 0

1 year ago

Which of the following is the radical expression of a to the four ninths power ?

LuckyWell [14K]

Given expression in exponential form : $a^{\frac{4}{9} }$ .

We need to convert it into radical form.

<em>Please note: When we convert an exponential to radical form, the top number goes in the exponent of the term and bottom number of the fraction goes in the radical sign to make it nth radical.</em>

We can apply following rule:

$(a)^{\frac{m}{n}}= \sqrt[n]{x^m}$ .

Therefore,

$a^{\frac{4}{9} }= \sqrt[9]{a^4}$ .

Therefore, correct option is : D. ninth root of a to the fourth power.

6 0

3 years ago

The Sun is about 26,000 light-years from the center of the Milky Way Galaxy. What is another way to write 26,000? 10×26 10×260 1

aev [14]

Answer:

The another way to write 26,000 = <em><u>10×2,600</u></em>.

6 0

3 years ago

Read 2 more answers

You flipped a coin 50 times and got 23 heads.What is the experimental probability of getting a head? Write your answer as a frac

lys-0071 [83]

Answer:

23/50, 0.46, and 46%

Step-by-step explanation:

This problem is stating that every fifty times you flip a coin you get 23 heads. Finding the fraction is simple, it would be 23/50 because it is expressing the probability. The problem clearly states that every 50 times you get 23 heads. To find the decimal, take the fraction, 23/50, and multiply the numerator and denominator by 2. you get 46/100 which is 0.46. A percent is just a fraction out of a 100 which would make the percent 46.

8 0

3 years ago