Answer:
16 runs.
Step-by-step explanation:
We have been given that on the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs.
We can see that runs scored by Jessie form an arithmetic sequence, where each successive term is 2 more than the previous term.
Since we know that formula for nth term of an arithmetic sequence is: 
, where,
,
,
,
.
Since on the first day Jessie scored 2 runs, so 
and difference between two consecutive terms is 2 (4-2=2), so d will be 2.
Upon substituting our values in arithmetic sequence formula we will get,
Therefore, formula for nth term of sequence representing number scored by Jessie on the baseball tournament is .
Let us find the 8th term of sequence by substituting n=8 in our sequence formula.
Therefore, Jessie should score 16 runs on the eighth day of baseball tournament.
Ask this in english please
Given:
A music store has the following:
40 trumpets
39 clarinets
24 violins
51 flutes
16 trombones
We will write the following ratios:
trumpets to violins =
<span>- The triangular patches have an area of 63 cm</span>² (A1= 63 cm²)<span>.
- The rectangular piece of fabric is 27 centimeters long and 21 centimeters wide.
1. Then, the first thing you must do is to calculate the area of the piece of fabric. The formula for the area of a rectangle is:
A2=LxW
L=27 centimeters (The lenght of the rectangle)
W=21 centimeters (The width of the rectangle)
2. When you substitute the values of L and W into the formula, you obtain:
A2=(27 cm)(21 cm)
A2=567 cm</span>²
<span>
3. Then, let's calculate how many triangular patches she can cut from a rectangular piece of fabric:
A2/A1= 567 cm</span>²/63 cm²= 9 triangular patches
4. Finally, you can calculate how many triangular patches she can cut from 33 rectangular pieces of the fabric:
(9 triangular patches)(33 pieces of fabric)=297 triangular patches
<span>
How many of the patches can Leia cut from 33 pieces of the fabric?
The answer is: 297 triangular patches</span>
150*30% = $45
$150-$45 = $105
Marco still owes his brother $105
