If the number 3 were added to the set {2, 3, 3, 3, 4, 5, 5}, which central tendency would change?

The required Rob has 16 dimes and 24 quarters as he has a total of 40 coins.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let x be the number of dimes that Rob has, and y be the number of quarters.

We know that he has a total of 40 coins, so,

x + y = 40 ( 1)

We also know that the value of all his coins is $7.60. The value of x dimes is 10x cents, and the value of y quarters is 25y cents. So,

10x + 25y = 760 ( 2)

Now we can solve for x and y. Let's start by solving equation 1 for one of the variables:

x + y = 40

y = 40 - x

Substitute this expression for y into equation 2:

10x + 25y = 760

10x + 25(40-x) = 760

10x + 1000 - 25x = 760

-15x = -240

x = 16

So Rob has 16 dimes. We can use equation 1 to find the number of quarters:

x + y = 40

16 + y = 40

y = 24

So Rob has 24 quarters.

Therefore, Rob has 16 dimes and 24 quarters.

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Answer:

What is the constant rate?

Step-by-step explanation:

6. Rotate 180 degrees from origin and shift 5 units down.

7. Scale 2x at origin and reflect across the Y axis. The sizes are different so it’s similar

$8370 of the deposit money $9000 is the money the bank is free to lend given that the reserve rate is 7%. This is obtained by finding 7% of deposit money and subtracting the answer from the deposit money.

Calculate the money the bank is free to lend:

Given that, deposit = $9000

reserve rate = 7%

First we have to find 7% of $9000,

7% of $9000 = 7/100 × $9000

                      = $630

Money the bank is free to lend, $9000 - $630 = $8370

Hence $8370 of the deposit money $9000 is the money the bank is free to lend given that the reserve rate is 7%.

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Answer:

Step-by-step explanation:

Let's analyze each statement and classify them as always true, sometimes true, or never true based on the figure provided:

1. m<1+m<4=180:

This statement is always true. In the figure, angles 1 and 4 are vertical angles, which means they are congruent. Therefore, m<1 = m<4, and their sum is always equal to 180 degrees.

2. m<1+m<2+m<3=180:

This statement is never true. In the figure, angles 1, 2, and 3 do not form a straight line. Therefore, the sum of m<1, m<2, and m<3 cannot be equal to 180 degrees.

3. m<2+ m<4=180:

This statement is sometimes true. In the figure, angles 2 and 4 are adjacent angles, and their sum can be equal to 180 degrees if they form a straight line. However, if angles 2 and 4 do not form a straight line, their sum will be less than 180 degrees.

4. <2=<3:

This statement is never true. In the figure, angles 2 and 3 are not congruent. Therefore, <2 is not equal to <3.

5. <2=<4:

This statement is sometimes true. In the figure, angles 2 and 4 can be congruent if they are vertical angles. However, if they are not vertical angles, they will not be congruent.

6. m<3=m<4:

This statement is always true. In the figure, angles 3 and 4 are vertical angles, which means they are congruent. Therefore, m<3 = m<4.

To summarize:

- Statement 1 is always true.

- Statement 2 is never true.

- Statement 3 is sometimes true.

- Statement 4 is never true.

- Statement 5 is sometimes true.

- Statement 6 is always true.