Answer:
○ 
Step-by-step explanation:
This system of inequalities has a shared portion at the origin, so we can easily jump to using the zero-interval test [test point (0, 0)] to verify the inequalities as false or true:
![\displaystyle 5[0] ≥ -4[0] - 10 → 0 ≥ -10](https://tex.z-dn.net/?f=%5Cdisplaystyle%205%5B0%5D%20%E2%89%A5%20-4%5B0%5D%20-%2010%20%E2%86%92%200%20%E2%89%A5%20-10)
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Plus, the top inequality has a <em>dashed </em><em>line</em><em> </em>["<" or ">"], and the bottom inequality has a solid line, so this must have an equivalence line underneath each inequality symbol ["≤" or "≥"].
** Hold on though! Although it looks obvious about what the second inequality is, we need to double-check and make sure anyway, just to be on the safe side ☺:
From the y-intercept of ![\displaystyle [0, -2],](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B0%2C%20-2%5D%2C)
we do 
by either moving four blocks <em>north</em><em> </em>over five blocks <em>west</em><em> </em>or four blocks <em>south</em><em> </em>over five blocks <em>east</em><em> </em>[<em>west</em> and <em>south</em> are negatives]. This IS what our solid graph looks like, so we are correct!
So, from all what was explained, you have your answer.
I am joyous to assist you anytime.
Answer:
They will do rounds together again in 11 minutes and 40 seconds.
Step-by-step explanation:
Security A rounds every 2 minutes and 20 seconds in the gate 1.
That is, after 2*60 + 20 = 120 + 20 = 140 seconds.
Security B rounds every 1 minute and 40 seconds in the gate 2.
That is, after 1*60 + 40 = 60 + 40 = 100 seconds.
After how many minutes they will rounds together again?
First, we find this is seconds, which is the least common multiple between 140 and 100. Factoring them by prime factors:
140 - 100|2
70 - 50|2
35 - 25|5
7 - 5|5
7 - 1|7
1 - 1
lcm(140,100) = 2*2*5*5*7 = 700 seconds
They will do rounds together again in 700 seconds, which is 11 minutes and 40 seconds.
Answer:
He will need 9 tiles
Step-by-step explanation:
Step one:
let us highlight the given parameters
Given data
the size of the kitchen floor is 110 ft^2
the size of the bathroom is 28 ft^2
he used 32.5 tiles for the kitchen
and used x tiles for the bathroom
Step two:
if he used 32 tiles for 110 ft^2 kitchen
he will use x tiles for 28 ft^2 bathroom
cross multiplying we have
x= (32*28)/110
x= 896/110
x= 8.145
<em>Approximately he will need 9 tiles</em>
Answer:
Kasey paid: $13.50
Sue paid:$10.60
Togethee they paid: $24.10
Step-by-step explanation:
Convert the sales tax percentage to a decimal by moving the decimal point two places to the left or you can divide it by 100.
This should give you .06
Multiply .06 with the original cost before sales tax.
Add this amount to the original cost to get your answer
Answer:
n= 11 & n = 13 is the answer
