ANSWER
EXPLANATION
The expressions are
and
The greatest common factor is the product the least powers of the common factors.
Answer:
-3x+25
16
Step-by-step explanation:
Answer: An expression for the height is: H = (3/64)V
To start with, we will assume that it is a square pyramid, meaning all the sides of the base are 8 feet wide.
Now, we need the formula for the volume of a square pyramid.
V = BH/3
We know the area of the base, it is 8 x 8 = 64, so we can input that.
V = 64H/3 We can multiply by 3/64 to find an expression for the height of the fort.
(3/64)V = H
Answer:
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.
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