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:
i think it is B
Step-by-step explanation:
Answer:
9 songs
Explanation:
Given:
The slideshow is 31 whole number 1/2 minutes long
convert to an improper fraction
31×2+1/2 = 63/2
The songs are each 3 whole number 1/2 minutes long
convert to an improper fraction
3×2+1/2 = 7/2
To find the number of songs that Marcus is picking to play during a slideshow, divide the slideshow by the long of one song
(63/2) / (7/2)
= 9 songs.
The inequality is in the direction of the arrow
The arrow is like this <——— so the inequality is <
It is an open circle so that means -1 is not included
x<-1
Or choice A
