<u>Answer:</u>
- Carly's expenditure was $240 and the number of boxes of cards was required is 24 boxes.
<u>Step-by-step explanation:</u>
We know that:
- 48 + 8(b) = Carly's expenditure
- 10(b) = Carly's expenditure
- 48 + 8b = 10b
- B = Boxes of cards
<u>Work:</u>
- 48 + 8b = 10b
- => 48 + 8b - 8b = 10b - 8b
- => 48 = 2b
- => b = 24
<u>Now, let's substitute the value of b into any equation.</u>
<u>Hence, Carly's expenditure was $240 and the number of boxes of cards was required is 24 boxes.</u>
Hoped this helped.

The value of the probability is 3/14
<h3>How to solve the probability?</h3>
The given parameters are:
P(A) = 4/7
P(B | A) = 3/8
The probability of events A and B occurring is calculated using:
P(A and B) = P(B | A) * P(A)
So, we have:
P(A and B) = 3/8 * 4/7
Evaluate the product
P(A and B) = 3/14
Hence, the value of the probability is 3/14
Read more about probability at:
brainly.com/question/25870256
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In this problem, it is important to take note that the number of numbers to be utilized isn't specified so it can be up to a thousand numbers. It wasn't also specified if repeating of numbers is allowed or not. So with those taken into consideration and the condition presented in mind, the numbers that can give you 8 when added and 30 when multiplied are 2, 3, 5, -1, and another -1. The derivation from this is mainly from factorization and a little bit of logic.
here is the solution.
2 x 3 x 5 x -1 x -1 = 30
6 x 5 x -1 x -1 = 30
30 x -1 x -1 = 30
-30 x -1 = 30
30 = 30
2 + 3 + 5 + -1 + -1 = 8
5 + 5 + -1 + -1 = 8
10 + -1 + -1 = 8
9 + -1 = 8
8 = 8
Answer:
Step-by-step explanation:
Finding the vertex or the end of the shape.
Find the y -intercept, (0,f(0)) ( 0 , f ( 0 ) ) .
Solve f(x)=0 f ( x ) = 0 to find the x coordinates of the x -intercepts if they exist.
Make sure that you've got at least one point to either side of the vertex. ...
Sketch the graph.