12(8+t) You do what's in the parenthesis first, then multiply by 12, or in other words multiply 12 by the sum of 8 and t.
1) name the variables:
- amount in account 1 "a"
- amount in account 2 "b"
2) trtanslate the statements into equations:
<span>- the
difference between account 1 and account 2 is $100.
=> a - b = 100
- if she uses 3/8 of
account 1 and 7/8 of account 2, Dawn will have a down payment of $2,000.
=> (3/8)a + (7/8)b = 2000
3) solve the system of equations
(1) a - b = 100
(2) (3/8)a + (7/8b) = 2000
Steps:
- multiply equation (1) by 7 and equaton (2) by 8
=>
(1) 7a - 7b = 700
(2) 3a + 7b = 16,000
- add the two equations
=>
7a + 3a - 7b + 7b = 700 + 16,000
- combine like terms:
10a = 16,700
- divide by 10:
a = 16,700 / 10 = 1670
- use equation (1) to find b:
a - b = 100 => b = a - 100 = 1670 - 100 = 1570
Answer: Dawn has $ 1670 in account 1 and
$ 1570 in account 2.
</span>
Answer:
1. 60 degrees
2. 50 degrees
4. 49 degrees
5. 26 degrees
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180 degrees.
1.
x + 80 + 40 = 180
x + 120 = 180
x = 60
2.
x + 75 + 55 = 180
x + 130 = 180
x = 50
4.
x + 90 + 41 = 180
x + 131 = 180
x = 49
5.
x + 81 + 73 = 180
x + 154 = 180
x = 26
Answer:
the answer is b
Step-by-step explanation: