Learning

Ava has $110 in her piggy bank and spends $5 a week. Liam has $20 in his piggy bank and does chores to earn an extra $4 a week.

jarptica [38.1K]

Answer:

Ava and Liam have the same amount of money at 10th week.

Step-by-step explanation:

Given:

Amount Ava has in her piggy bank = $110

Amount spends per week = $5

Let the number of weeks be 'w'.

So we can say that.

Total amount Ava had after 'w' weeks = $110-5w$

Also Given:

Amount Liam has in her piggy bank = $20

Amount earns per week = $4

Let the number of weeks be 'w'.

So we can say that.

Total amount Liam had after 'w' weeks = $20+4w$

Now we need to find the number of weeks when both will have same amount.

So we can say that;

Total amount Ava had after 'w' weeks =Total amount Liam had after 'w' weeks

$110-5w=20+4w$

Combining like terms we get;

$110-20=5w+4w\\\\90=9w$

Dividing both side by 9 we get;

$\frac{90}{9}=\frac{9w}{9}\\\\w=10\ weeks$

Hence Ava and Liam have the same amount of money at 10th week.

8 0

4 years ago

What is the sum of -6 and 9

katrin2010 [14]

Positive 3, If You're starting at -6 and you add the first 6 it's at 0, now you have 3 more to add to make 9. And that gives you positive 3. or if you do 9 - 6 you can get your answer that way too.

7 0

3 years ago

Which of the equations is graphed below?

ra1l [238]

Answer:

D

Step-by-step explanation:

Slope of -2 that's going through y=1

so y=-2x+1

4 0

3 years ago

Read 2 more answers

Kathy used 15 ounces of chocolate in her cookies. Cindy used 15% more chocolate in her cookies. How many ounces did Cindy use? (

MaRussiya [10]

Cindy used 17.25 because 15 × .5 = 2.25 and if you add it to 15 ypu get 17.25

5 0

3 years ago

Suppose you roll two number cubes and find the probability distribution for the sum of the numbers. Which two sums are represent

Contact [7]

When you roll a number cube, there is a possibility of a number from 1 to 6 appearing. i.e. 1, 2, 3, 4, 5, or 6 can appear.

The same goes for the second number cube.

The table below presents the possible outcomes of rolling two number cubes with the sum written as exponent.

$\begin{center}
\begin{tabular} {| c || c | c | c | c | c | c |}
& 1 & 2 & 3 & 4 & 5 & 6 \\ [1ex]
1 & \{1,1\}^2 & \{1,2\}^3 & \{1,3\}^4 & \{1,4\}^5 & \{1,5\}^6 & \{1,6\}^7 \\ 
2 & \{2,1\}^3 & \{2,2\}^4 & \{2,3\}^5 & \{2,4\}^6 & \{2,5\}^7 & \{2,6\}^8 \\ 
3& \{3,1\}^4 & \{3,2\}^5 & \{3,3\}^6 & \{3,4\}^7 & \{3,5\}^8 & \{3,6\}^9 \\ 
4 & \{4,1\}^5 & \{4,2\}^6 & \{4,3\}^7 & \{4,4\}^8 & \{4,5\}^9 & \{4,6\}^{10} \\ 
\end{tabular}
\end{center}$
$\begin{center}
\begin{tabular} {| c || c | c | c | c | c | c |}
5& \{5,1\}^6 & \{5,2\}^7 & \{5,3\}^8 & \{5,4\}^9 & \{5,5\}^{10} & \{5,6\}^{11} \\ 
6 & \{6,1\}^7 & \{6,2\}^8 & \{6,3\}^9 & \{6,4\}^{10} & \{6,5\}^{11} & \{6,6\}^{12} \\ 
\end{tabular}
\end{center}$

From the table it can be seen that the sums: 2 and 12 appeared only once and hence will represent the shortest bars if the distribution is represented in a bar chart.

Therefore, the <span>two sums that are represented by the shortest bars on a bar graph of this distribution</span> are 2 and 12.

5 0

4 years ago