3(x-4)>= 5x+2
Distributing 3 on x-4
3(x)-3(4)>=5x+2
3x-12>=5x+2
Now we need to move x terms together and the numbers together and for that we subtract 5x to both sides and add 12 to both sides
-2x >=14
Now we need to get rid of -2, and for that we divide both sides by -2 and on dividing by negative number, the sign of inequality change , that is
x<=-7
9514 1404 393
Answer:
84 dogs
Step-by-step explanation:
We can multiply each of the numbers in the ratio by 12 to see the answer:
cats : dogs = 3 : 7 = 36 : 84
There were 84 dogs in the park.
Let <em>h</em> represent the cost of hot dogs and <em>p</em> represent the cost of potato chips.
Customer 1: 4h + 5p = 15.50 ⇒ 3(4h + 5p = 15.50) ⇒ 12h + 15p = 46.50
Customer 2: 3h + 2p = 9.00 ⇒ -4(3h + 2p = 9.00) ⇒ <u> -12h - 8p = -36.00</u>
7p = 10.50
p = 1.50
Customer 2: 3h + 2p = 9.00 → 3h + 2(1.50) = 9.00 → 3h + 3.00 = 9.00 → 3h = 6.00 → h = 2.00
Answer: hot dog = $1.50, potato chips = $2.00
9300 is the correct answer
Answer:
B. 11.1
Step-by-step explanation:
The sequence is arithmetic, with a first term (a1) of 1.3 and a common difference (d) of 0.2.
The n-th term (an) is given by the equation ...
... an = a1 + (n -1)·d
So, the 50th term is ...
... a50 = 1.3 + (50-1)·0.2 = 1.3 +9.8 = 11.1