Richard can buy 8 body soaps. Because 80 - 25 = 55 and 55 - 15 = 40 Now 40 divided by 5 is 8.
To solve the problem we will find the number of videos bought by Jerome and the total cost of all the videos.
The system of equations that model this information are:
- 15 = x + y
- 164 = 18x + 9y.
<h2>Explanation</h2>
Given to us
- Total amount spent by Jerome = $164
- Total videos bought by Jerome = 15
- Number of classic videos bought = y
- Number of new release videos bought = x
- Cost of a classic video = $8
- Cost of a new release video = $19
<h3>Total cost of all new release videos</h3>
= Number of new releases bought x Cost of a new release video
<h3>Total cost of all classic videos</h3>
= Number of classic videos bought x Cost of a classic video
<h2>Total videos bought by Jerome</h2>
Total videos bought by Jerome
= Number of new releases bought + Number of classic videos bought
15 = x + y
<h2>Total amount spent by Jerome </h2>
Total amount spent by Jerome
= Total cost of all new release videos + Total cost of all classic videos
$164 = 19x + 8y
164 = 19x +8y
Hence, the system of equations that model this information are:
- 15 = x + y
- 164 = 18x + 9y.
Learn more about System of Equations:
brainly.com/question/12895249
Let d = number of dimes, q = number of quarters
<span>Sally has 20 coins in her piggy bank, so </span>
<span>d + q = 20 </span>
<span>The total amount of money is $3.05. </span>
<span>Use the value of each coin multiplied by its number to get total value </span>
<span>.10d + .25q = 3.05 </span>
<span>multiply everything by 100 to clear the decimal places </span>
<span>10d + 25q = 305 and </span>
<span>d + q = 20 </span>
<span>solve the second equation above in terms of either d or q - lets do d </span>
<span>d = 20 - q </span>
<span>sub that into the first equation </span>
<span>10d + 25q = 305 </span>
<span>10(20 - q) + 25q = 305 </span>
<span>200 - 10q + 25q = 305 </span>
<span>15q = 105 </span>
<span>q = 105/15 = 7 </span>
<span>and from above </span>
<span>d = 20 - q = 20 - 7 = 13 </span>
<span>so, there are 13 dimes and 7 quarters </span>
<span>verify with orig problem </span>
<span>13 + 7 = 20, OK, and $1.30 + $1.75 = $3.05
</span>
Answer:
.
Step-by-step explanation:
The function gives the depth as a function of time, and gives the pressured exerted as a function of depth; therefore, the pressure exerted as a function of time will be modeled by the function or
Since ,
Therefore,