speed = Distance taken / time travelled
Answer:
x = 4
Step-by-step explanation:
Simplify:
5(a + 5) + -3 = 3(2 + -1a)
Reorder the terms:
5(5 + a) + -3 = 3(2 + -1a)
(5 * 5 + a * 5) + -3 = 3(2 + -1a)
(25 + 5a) + -3 = 3(2 + -1a)
Reorder the terms again:
25 + -3 + 5a = 3(2 + -1a)
Combine like terms:
]25 + -3 = 22
22 + 5a = 3(2 + -1a)
22 + 5a = (2 * 3 + -1a * 3)
22 + 5a = (6 + -3a)
Solve:
22 + 5a = 6 + -3a
To solve for variable 'a':
You have to move all terms containing A to the left, all other terms to the right.
Then add '3a' to each side of the equation:
22 + 5a + 3a = 6 + -3a + 3a
Combine like terms:
5a + 3a = 8a
22 + 8a = 6 + -3a + 3a
Combine like terms again:
-3a + 3a = 0
22 + 8a = 6 + 0
22 + 8a = 6
Add '-22' to each side of the equation.:
22 + -22 + 8a = 6 + -22
Combine like terms:
22 + -22 = 0
0 + 8a = 6 + -22
8a = 6 + -22
Combine like terms once more:
6 + -22 = -16
8a = -16
Divide each side by '8'.
a = -2
Simplify:
a = -2
Answer: a=-2
Hope I could help! :)
Answer:
Option c. 104 people
Step-by-step explanation:
For 1 desk : 4 people
For 2 desks: 6 people
For 3 desks: 8 people
<em>For 51 desks: </em>
<em>We can see the pattern in the number of people that can be seated on the tables. </em>
Using arithmetic series: 4,6,8,....
a(n) = a1 + (n-1)d
n = 51
d = a2 - a1 = 6 - 4 = 2
a(51) = 4 + (51 - 1) 2
= 4 + (50)2
= 4 + 100
= 104
Answer:
False. The products from cross multiplication are different.
Step-by-step explanation:
To know if a pair of ratios form a proportion, cross multiply. If the products are equal, they are a proportion.
Write like this to see top (numerator) and bottom (denominator) clearly.
Multiply each numerator with the other side's denominator:
4 X 6 = 24
5 X 5 = 25
Are they equal? No. 24 ≠ 25
Therefore it's not a proportion.
