Answer:
2 right and 5 down
Step-by-step explanation:
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:
Hamadi : -13-30x
Carlos : 5(7+6x)
Step-by-step explanation:
When we simplify Hamadi :
11-30x-24=
-13-30x We cannot simplify and nothing to do any more.
When we simplify Carlos :
11+30x+24=
35+30x
Common factor is 5:
5(7+6x)
Area=πr^2
Area=π(16)^2
Area≈804.2477 cm^2
I left the number large enough in case you need to round it off to some other decimal place.
Answer: B. 1/2(y - 116) = 64
Step-by-step explanation:
Since, we know that,
The angle formed by two tangent = 
= 
Here, Major arc = y°
Minor arc = 116°
And, Angle made by two tangents YX and YZ,
( because, 
)
⇒ 
Which is the required equation to find y, the measure of XWZ.
Thus, Option B is correct.
