Answer:
228
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
2 2 times is 4
The blank is -8
Step-by-step explanation:
Let us revise some rules of indices:
∵ 
× 
= 
× 
∵ All bases are equal
∴ Use the first and third rule above to find x
∵ × = 
∴ × = 
⇒ L.H.S
∵ × = 
⇒ R.H.S
Equate L.H.S and R.H.S
∴ =
Equate the indices of the two sides
∴ -3 = 5 + x
- Subtract 5 from both sides
∴ -8 = x
∵ x represents the blank
∴ The blank = -8
The blank is -8
Learn more:
You can learn more about the indices in brainly.com/question/4419221
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Answer:
6 weeks
Step-by-step explanation:
From the question:
Let us represent the number of weeks as x
Andre and Alina are each saving money.
For Andre:
Andre starts with $100 in a savings account and adds five dollars per week
$100 + $5 × x
= 100 + 5x
For Elena
Elena starts with $10 in her savings account and add $20 each week
$10 + $20 ×x
= 10 + 20x
The next step is to equate both algebraic expression for Andre and Elena together
Hence:
100 + 5x = 10 + 20x
Collect like terms
100 - 10 = 20x - 5x
90 = 15x
x = 90/15
x = 6 weeks
Hence, after 6 weeks Andre and Elena would have the same amount of money in their savings account.
×
=