Answer:
The numerical length of RS is 22 units
Step-by-step explanation:
∵ Point S is on the line segment RT
→ <em>That means S divide RT into two parts RS and ST</em>
∴ RS + ST = RT
∵ RS = 4x - 10
∵ ST = 2x - 10
∵ RT = 4x - 4
→ <em>Substitute them in the statement above</em>
∴ 4x - 10 + 2x - 10 = 4x - 4
→ <em>Add the like terms in the left side</em>
∴ (4x + 2x) + (-10 + -10) = 4x - 4
∴ 6x + (-20) = 4x - 4
∴ 6x - 20 = 4x - 4
→ <em>Add 20 to both sides</em>
∴ 6x -20 + 20 = 4x - 4 + 20
∴ 6x = 4x + 16
→ <em>Subtract 4x from both sides</em>
∴ 6x - 4x = 4x - 4x + 16
∴ 2x = 16
→ <em>Divide both sides by 2 to find x</em>
∴ 
∴ x = 8
→ <em>Substitute the value of x in Rs to find its length</em>
∵ RS = 4(8) - 10
∴ RS = 32 - 10
∴ RS = 22 units
The numerical length of RS is 22 units
Answer:
£4 and £8.
Step-by-step explanation:
There are 3 parts to the sharing ( 2 + 1 = 3).
So one part is 1/3 of 12.
One part is 1/3 * 12 = £4
and 2 parts = 2/ * 1/3 * 12 = £8.
Answer:
x >= -6
Step-by-step explanation:
Multiply:
(1/3)x + 1 >= (1/2)x + 1/2 - (-1/4)x
Combine like terms:
(1/3)x + 1 >= (1/4)x + 1/2
Move the x's on one side and the integers on another:
(1/3)x - (1/4)x >= 1/2 - 1
(1/12)x >= -1/2
x >= -6
I hope this helped! :D
Answer:
77) YES , 78) YES , 79) NO , 80) YES
Step-by-step explanation:
77) 12/4=3 and 18/6=3 so YES
78) 30/6=5 and 40/8=5 so YES
79) 36/25=1.44 and 48/40=1.2 so NO
80) 15/5=3 and 13.8/4.6=3 so YES
Answer:
the amount in the account after three years? = $110.96
Step-by-step explanation:
the formula to calculate the amount compounded after 3year =
A = P(1 + r/n)∧nt
A =
where P = principal =starting amount = $100 weekly
r= interest rate = 2.4% weekly = 0.024
t = time interest is computed = 3years =
n = number of time interest is compounded per year =52.1weeks
inputing the parameters
A =
A = 100 (1.0005)^{208}
A = 100 *1.1096
A = $110.96
