The correct answer is x=-6
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 .
Answer:
w=6
Step-by-step explanation:
Simplifying
3(2w + 8) = 60
Reorder the terms:
3(8 + 2w) = 60
(8 * 3 + 2w * 3) = 60
(24 + 6w) = 60
Solving
24 + 6w = 60
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-24' to each side of the equation.
24 + -24 + 6w = 60 + -24
Combine like terms: 24 + -24 = 0
0 + 6w = 60 + -24
6w = 60 + -24
Combine like terms: 60 + -24 = 36
6w = 36
Divide each side by '6'.
w = 6
Simplifying
w = 6
Answer:
819
Step-by-step explanation:
We solve the above question using simple interest
The formula for the total amount in a bank amount when it earn simple interest annually is:
A = P(1 + rt)
When
P = Initial amount in the account = 780
r = Simple Interest rate = 2.5% = 0.025
t = 2 years
A = 780(1 + 0.025 × 2)
A = 780(1 + 0.050)
A = 780(1 .050)
A = 819.00
The amount of money that will be in her account if she does not make any deposits or withdrawals in 2 years is 819.
There is no graph but...
A solution to a system is a ordered pair that is located in the line of the graph.