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Pani-rosa
8 days ago
10

Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their

shadows. Ariadne's shadow is 15 feet long and Dixon's shadow is 18 feet long. If Ariadne is 5 feet tall, how tall is Dixon
Mathematics
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Emilia saved nickels, dimes, and quarters in a jar. She had as many quarters as dimes, but twice as many nickels as dimes. If th
tester [12383]

Let’s define the number of nickels as n,

the number of dimes as d, and

the number of quarters as q.

The total quantity of coins is 844.

We can express this as "number of nickels + number of dimes + number of quarters = Total coins.

Thus, we can form an equation from this statement as

n+d+q = 844            ---------------------equation(1).

Additionally, it is given that Emilia possesses as many quarters as dimes.

Consequently, the number of quarters equals the number of dimes.

This leads to another equation:

q = d                          ------------------------equation(2).

It is also stated that there are "twice as many nickels as dimes."

We can create a further equation representing this statement as

n = two times the number of dimes

or n= 2d                -------------------------- equation (3).

Three equations have been established.

Let’s solve this system of three equations using substitution methods.

By substituting q = d and  n= 2d  into equation (1), we obtain

n+d+q = 844      =>

2d +d + d = 844.

Adding up the d's, gives us

4d =844.

Dividing both sides by 4 yields

\frac{4d}{4}=\frac{844}{4}

d = 211.

Hence, the quantity of dimes = 211.

Next, we will determine the number of nickels and quarters.

We know that the number of quarters equals the number of dimes.

Thus, the total count of quarters is 211.

The overall quantity of coins sums to 844.

Hence, the number of nickels = 844 -  (sum of quarters and dimes).= 844 -(211+211) = 844 - 422

= 422.

Therefore,

the total of nickels = 422.

Now, let’s compute the total values of all coins.

A nickel is valued at $0.05

A dime is valued at $0.10

A quarter is valued at $0.25.

The total value = 0.05 *(number of nickels) + 0.10*(number of dimes) + 0.25*(number of quarters).

=[ 0.05* 422 + 0.10 *211 + 0.25*211].

= 21.10 + 21.10 + 52.75.

= 94.95.

So, the total worth of all 844 coins = $94.95.

Emilia saved $94.95.

3 0
1 month ago
Read 2 more answers
Aaron draws a segment in his notebook. What is the minimum number of points through which the segment is drawn?
PIT_PIT [12445]

Answer:

The result is 2

Step-by-step explanation:

A segment requires at least 2 points for its construction.

In geometry, a line segment refers to a section of a line defined by two unique endpoints, encompassing all points located along the line segment between these endpoints.

5 0
2 months ago
Read 2 more answers
Using cell references, enter a formula in cell B6 to calculate monthly payments for the loan described in this worksheet. The an
Zina [12379]

Response:

Here is the solution to the question:

Detailed Steps:

The following steps will be followed in this task:

  • Step 1: Utilize the formulas tab on the sheet where you will apply the function found in the FLG "Function Library group".
  • Step 2: Click on the Financial button, then select PMT.
  • Step 3: After selecting PMT, input "B3/12" into the rate argument box.
  • Step 4: In B4, fill in the Nper argument box with the value found in cell "B2" for the Pv argument box.
  • Step 5: Click the OK button to finish.
5 0
3 months ago
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