Answer:
--- expanded form
--- Divide common factor
(c) The exponent of the simplified power is 3
Step-by-step explanation:
The original question is:
Required
- Express the exponents in expanded form
- Divide common factors
We have:
In indices:
So, the above expression becomes:
Divide the common factors, to give:
Express as an exponent
In indices;
So, we have:
<em>The simplified power is </em><em> and 3 is the exponent</em>
The whole bill is $31.99 that is 100%. You can use mental math to determine exatcly 15% from $31.99:
1. 15%=10%+5%
2. To find 10% from $31.99 you should simply divide $31.99 by ten. Thus, 10% from $31.99 is $3.199.
3. 5% is half of 10%, then 5% from $31.99 is $3.199:2=$1.5995.
4. 15% from $31.99 is $3.199+$1.5995=$4.7985≈$4.80.
Answer: correct choice is B.
Answer:
762
Step-by-step explanation:
Notice that each new term is equal to the preceding term PLUS 15. Thus, the common difference is 15 and the first term is -3.
The explicit equation for this sequence is
a(n) = -3 + 15(n - 1)
So the 52nd term is a(52) = -3 + 15(51) = 762
The answer would be 237.375. To get this answer, you will first use the formula given for each unit. First, you will do the first unit by putting 8 to the third power, or basically 8x8x8. After you get the product 512, you will then do the next unit. Do that one by doing 6.5 to the third power, or as followed, 6.5x6.5x6.5. Once you get the product 274.625, you will then subtract that from 512. You will then receive the answer 237.375.
64 - (3y + 8y + y) / 40 = 37
Simplify 3y + 8y + y
64 - 12y / 40 = 37
Add 12y / 40 to both sides and subtract 37
27 = 12y / 40
Multiply both sides by 40
1080 = 12y
Divide both sides by 12
90 = y