Answer:
There are 32 dimes and 25 quarters.
Step-by-step explanation:
q + d = 57 or q = 57 - d
25q + 10d = 945
substitute first equation into second equation:
25(57 - d) + 10d = 945
1425 - 25d + 10d = 945
-15d = -480
d = -480/-15 = 32
using first equation:
q = 57 - 32 = 25
check using second equation:
25(25) + 10(32) = 945 checks
Terry, Kevin and Barry have a total of 215 marbles.=> Terry has 20 marbles more than Barry = x + 20=> Kevin has 10 marbles more than Terry = (x + 20) + 10=> Barry = xSolutions:=> x + x + 20 + x + 20 + 10 = 215=> 3x + 50 = 215=> 3x = 215 - 50=> 3x = 165=> 3x / 3 = 165 / 3=> x = 55Barry have = 55Terry = 55 + 20 = 75<span>Kevin => 75 + 10 = 85</span>
Answer:
6.2%
Step-by-step explanation:
Credit rating is an evaluation of the credit risk of a borrower, that how often a person is going to repay their debt, by credit rating it predicts the ability of the debtor to payback.
Mike has credit rating = 720
Tyler has credit rating = 560
Both are approved for loan. Mike's Credit score is higher, which means he is a much safer debtor as compared to Tyler. Mike will be able to pay back much easily than Tyler. Therefore Mike interest rate is 3.2%
Interest rate of Tyler is higher as he is not that trusted and has low Credit rating. Tyler is approved for a loan that charged 3 percentage points higher because of his inferior credit rating so it interest on the loan will be
Interest = 3.2%+3% = 6.2%
Y = 5x + 5
y - x = 5
You can use substitution to solve this system. Use y's expression (5x + 5) for y in the second equation to solve for x:
y - x = 5
5x + 5 + x = 5
6x + 5 = 5
6x = 0
x = 0
Substitute your value for x into one of the original equations to y:
y = 5x + 5
y = 5(0) + 5
y = 5
Finally, substitute both values into both original equations to check your work:
5 = 5(0) + 5 --> 5 = 5 <--True
5 - 0 = 5 --> 5 = 5 <--True
Answer:
x = 0
y = 5
Angela purchased 4 casual shirts and 6 dressy shirts.
$25 × 6 = $150
$18 × 4 = $72
$150 + $72 = $222
hope this helped :)