from both sides of the equation.
Answer:
Apply the distributive property.
6 ⋅ 5 + 6 (-3x) = -4 x - 12
Multiply
6 by 5 . 30 + 6 (-3 x) = - 4 x - 12
Multiply
− 3 by 6 . 30 - 18 x = - 4 x - 12
Add
4 x to both sides of the equation.
30 - 18 x + 4 x = - 12
Add
− 18 x and 4 x . 30 - 14 x = - 12
Subtract
30
from both sides of the equation.
- 14 x = - 12 - 30
Subtract
30 from
− 12 . - 14 x = - 42
x = 3
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
A) The first step needs 100 bricks, the second needs 98, the third needs 96, and so on. Therefore the number of bricks for the nth step is: a_n = a_1 + d(n-1), where a_1 = 100 (the first term), d = -2 (difference).
a_n = 100 - 2(n-1) = 102 - 2n, and for the 30th step, a_30 = 102 - 2*30 = 42. So the top step will need 42 bricks.
b) The total staircase will need: 100 + 98 + 96 + ... + 44 + 42, and there are n = 30 terms. Using the formula for the sum of an arithmetic sequence:
S = (a_1 + a_n)*n/2 = (100 + 42)*30/2 = 2130
Therefore, 2130 bricks are required to build the entire staircase.
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❖ There will be 16 girls.
The relationship is x4. If we multiply 3 x 4, we get 12. What we do to one number we do to the other so 4 x 4 = 16.
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Answer:
7 miles
Step-by-step explanation:
you want to take the total miles and devide it by total time, (35/5) and that would be your answer.
