Answer:
The image in the attached figure
Step-by-step explanation:
we know that
The dimensions of the image of the given triangle are equal to the original dimensions of the pre-image multiplied by the scale factor
In this problem the scale factor is 1/4
The height of the pre-image is 4 units
The base of the pre-image is 8 units
Find out the dimensions of the image
The height of the image is
The base of the image is
The image in the attached figure
the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75
<u>Step-by-step explanation:</u>
Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.
Let the cost of each pound of trail mix is $y.
and the cost of each pound of jelly beans is $x.
According to question,
For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.
⇒ → (1)
For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23
⇒ → (2)
Solving (1) and (2), we get
3(1 equation)-(2 equation)=0
⇒
⇒
hence,
⇒
⇒
Putting in
we get ;
⇒
⇒
⇒
⇒
Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .