Answer:
5x + 10y = 125
Step-by-step explanation:
Let :
Number of nickel = x
Number of dime = y
Nickel = 5 cent
Dime = 10 cent
Total value = $1.25
Total value should be converted to cent since both dime and nickel are both in cent
= $1.25 * 100 = 125 cents
Therefore,
5x + 10y = 125 cents
Given :
James puts $3,500 into a savings account that earns 2.5% simple interest.
He does not touch that account for 3 years.
To Find :
The new balance of the account be after 3 years.
Solution :
Interest on $3500 after 3 years is :

So, new balance of the account after 3 years is $( 3500+262.5 ) = $3762.5 .
Hence, this is the required solution.
Answer:
33
Step-by-step explanation:
3 years ago, the difference in ages was twice Daniel's age. So, Daniel was 20/2 = 10 years old at that time. Ben was 30.
Now, Ben is 33.
_____
If two numbers have a ratio of 3:1, their difference is (3-1) = 2 times the smaller number.
Answer:
A) 14°
Step-by-step explanation:
If α and β are the two angles other than 90° in a right triangle, then we have the relation between α and β as, α+β=90°.
Therefore, Sin α = Sin (90° -β) =Cos β.
So, we can write the reverse as if Sin α = Cosβ, then we have α + β =90°.
It is given that, Sin (3x-27) = Cos (5x+5).
Hence, we can write (3x-27) + (5x + 5) = 90
⇒ 8x = 90+27-5 =112
⇒ x = 14°
Therefore, option A. is correct. (Answer)