Answer:
Step-by-step explanation:
Distributive property of equality, here we are performing opposite operation, which is factoring:
- 60 + 12x =
- 6*10 + 6*2x = Show both terms as a factor of 6
- 6(10 + 2x) Factor out 6
Answer:
(B) 0.0588
Step-by-step explanation:
The probability is calculated as a division between the number of possibilities that satisfy a condition and the number of total possibilities. Then, the probability that the first card is diamonds is:

Because the deck has 52 cards and 13 of them are diamonds.
Then, if the first card was diamonds, the probability that the second card is also diamond is:

Because now, we just have 51 cards and 12 of them are diamonds.
Therefore, the probability that both cards are diamonds is calculated as a multiplication between
and
. This is:

Answer: He rode 4.8 miles each day.
Variable: x = Constant distance distance traveledd each day.
Equation : 10+5x=34
Step-by-step explanation:
Total distance needs to travel = 34 miles
Distance already traveled = 10 miles
He will ride bicycle for 5 more days.
Let x = Constant distance distance traveledd each day.
Total distance = 10+5x
i.e.

Hence, he rode 4.8 miles each day.
Answer:
95 ft²
Step-by-step explanation:
Given:
regular pyramid with,
Square base of side length (s) = 5 ft
Slant height (l) = 7 ft
Required:
Surface area
Solution:
Surface area of a regular pyramid = ½*P*l + B
Where,
P = perimeter of the square base = 4(s) = 4(5) = 20 ft
l = slant height = 7 ft
B = area of base = s² = 5² = 25 ft²
Surface area = ½*20*7 + 25
= 10*7 + 25
= 70 + 25
Surface area of regular pyramid = 95 ft²