This equation shows how the number of pictures Rose has taken so far this year is related to the number of days she spends on vacation.

p = 11d

The variable d represents the number of days she spends on vacation, and the variable p represents the total number of pictures taken this year. How many days will Rose have to spend on vacation before she will have taken 11 pictures?

days

7 answers

To find out how many days Rose needs to spend on vacation before she takes 11 pictures, we can use the given equation:

\[ p = 11d \]

We want to find \(d\) when \(p = 11\):

\[ 11 = 11d \]

To solve for \(d\), divide both sides of the equation by 11:

\[ d = \frac{11}{11} \] \[ d = 1 \]

So, Rose will have to spend 1 day on vacation before she will have taken 11 pictures.

This equation shows how the number of pictures Rose has taken so far this year is related to the number of days she spends on vacation.

p = 11d

The variable d represents the number of days she spends on vacation, and the variable p represents the total number of pictures taken this year. How many days will Rose have to spend on vacation before she will have taken 11 pictures?

{blank} days

To determine how many days Rose needs to spend on vacation to take 11 pictures, we use the equation:

\[ p = 11d \]

We want to find \(d\) when \(p = 11\):

\[ 11 = 11d \]

Now, to solve for \(d\), divide both sides of the equation by 11:

\[ d = \frac{11}{11} \] \[ d = 1 \]

Therefore, Rose will have to spend 1 day on vacation before she will have taken 11 pictures.

So, the answer is 1 day.

This equation shows how the distance Tessa has cycled depends on the number of trips she has taken to work.

d = t + 8

The variable t represents the number of trips she has made, and the variable d represents the total distance cycled in kilometers. After 2 trips to work, how many kilometers will Tessa have cycled in total?

kilometers

To find out how many kilometers Tessa has cycled after making 2 trips to work, we can use the given equation:

\[ d = t + 8 \]

Here, \(t\) is the number of trips, and \(d\) is the total distance cycled in kilometers.

We need to calculate \(d\) when \(t = 2\):

\[ d = 2 + 8 \]

Now, perform the calculation:

\[ d = 10 \]

So, after 2 trips to work, Tessa will have cycled a total of 10 kilometers.

Use the following function rule to find f(11).

f(x) =
(
x
− 3
)
2


f(11) =

To find \( f(11) \) using the function rule \( f(x) = (x - 3)^2 \), we will substitute \( x \) with \( 11 \):

\[ f(11) = (11 - 3)^2 \]

Now, simplify what's inside the parentheses:

\[ f(11) = (8)^2 \]

Then, calculate the square:

\[ f(11) = 64 \]

Therefore, the value of \( f(11) \) is 64.