Answer: The correct option is D.
Explanation:
It is given that in January, Bangkok is hotter than Cape Town it means the temperature of Bangkok is greater than the temperature of Cape Town. It can be written in the inequality form as shown below,
Bangkok's temperature > Cape Town's temperature
It is the conclusion (1).
It is also given that the Cape Town is hotter than Moscow it means the temperature of Cape Town is greater than Moscow. It can be written in the inequality form as shown below,
Cape Town's temperature > Moscow's temperature
It is the conclusion (2).
When we combine conclusion (1) and (2). We get
Bangkok's temperature > Cape Town's temperature > Moscow's temperature
This statement is shown in option D, therefore the correct option is D.
Answer:
Step-by-step explanation:
<h3>#7</h3>
- 5⁵(16²5³)³ = 5⁵(2⁴)³(5³)³ = 5⁵2¹²5⁹ = 5¹⁴2¹²
<h3>#8</h3>
- (8⁴5³/8⁵)² = (5³/8)² = (5³)²/(2³)² = 5⁶ / 2⁶
<h3>#9</h3>
- (5⁸3⁷/5⁴)¹⁰ = (5⁴3⁷)¹⁰ = (5⁴)¹⁰(3⁷)¹⁰ = 5⁴⁰3⁷⁰
<h3>#10</h3>
<u>Multiplying powers with same base:</u>
- Same base with powers added up
<u>Multiplying powers with same exponent but different base:</u>
- Same exponent with bases multiplied
Answer:
$2827.5
Step-by-step explanation:
Cost of each ticket = $32.50
The school choir bought 54 tickets for the Saturday concert and 33 tickets for the Sunday concert.
Cost for Saturday concert = 32.50 × 54
= $1755
Cost for sunday concert = 32.50 × 33
= $1072.5
Total cost = Cost for Saturday concert + Cost for Sunday concert
= $1755 + $1072.5
= $2827.5
Hence, he will pay $2827.5 in all for the tickets.
She worked as a carpenter for 12 hours and as a blacksmith for 18 hours.
Assuming you mean she earned $20 as a carpenter and $25 as a blacksmith per hour, with a total of 30 hours for $690,
let c represent carpenter hours and b for blacksmith hours.
20c + 25b = 690
c + b = 30
Subtract b from each side so that c = 30 - b
Plug this value into the first equation
20(30 - b) + 25b = 690
600 - 20b + 25b = 690
600 + 5b = 690
5b = 90
b = 18
To find c, plug this value of b into the other equation
c + 18 = 30
c = 12
<span>(x−5)^ 2 = (x-5)(x-5) = x^2 - 10x + 25 (answer)</span>
