<u>Part a)</u>
Given the expression
Apply exponent rule: 
∵ 
Rewrite 81 as 3 · 27
Rewrite 54 as 2 · 27
Factor out the common term: 27m³n
Therefore,
<u>Part B)</u>
Given the expression
Apply exponent rule:
Rewrite as
Factor out common term 5y²x²z
Therefore,
Answer:
3 weeks, $45
Step-by-step explanation:
So we can make an equation!
55+5x=100-10x
So solving for x,
X=3
Answer: 5.37 as a mixed number is 5 37/100
To write a decimal number as a mixed number, you must separate the whole part of the decimal part:
5.37 = 5 + 0.37 = 5 0.37
And express the decimal part as a fraction:
0.37=37/100
Then:
Answer: 5.37 as a mixed number is 5 37/100
Answer:
1. all real numbers less than or equal to 4 = </= 4.
Answer = YES!
2. all real numbers less than or equal to -3 = </= -3.
Answer = YES!
3. all real numbers greater than or equal to 4 = >/= 4
Answer = YES!
4. all real numbers greater than or equal to -3 = >/= -3
Answer = NO!
Step-by-step explanation:
1. all real numbers less than or equal to 4 = </= 4.
1 + 1 = 2
1 + 2 = 3
2 + 2 = 4
2. all real numbers less than or equal to -3 = </= -3.
1 - 1 = 0
1 - 2 = -1
1 - 3 = -2
1 - 4 = -3
3. all real numbers greater than or equal to 4
1 + 1 = 2
1 + 2 = 3
1 + 3 = 4
1 + 4 = 5
4. all real numbers greater than or equal to -3
1 - 1 = 0
1 - 2 = -1
1 - 3 = -2
1 - 4 = -3
Answer:
$3
Step-by-step explanation:
Given data
Let the cost of drinks be x
and the cost of hotdogs be y
so
3x+4y=15-------1
also
3x+y= 10.5------2
solve 1 and 2
3x+4y=15
-3x+y= 10.5
3y= 4.5
divide both sides by 3
y= 4.5/3
y= $1.5
Put y= 1.5 in 1
3x+4(1.5)=15
3x+6= 15
3x=15-6
3x= 9
x= 9/3
x= $3
Hence the cost of a drink is $3
