Answer:
Step-by-step explanation:
Area = x(7x-4) = 7x^2-4x
Answer:
m>8
Step-by-step explanation:
The first step will be to distribute the 2, so that the equation becomes 2m + 6 + 1 > 23.
From here we should combine like terms, which just means adding 6 and 1, so that the equation is now 2m+7>23. Now, we just subtract 7 on both sides, which brings leave us with 2m > 16.
Lastly dividing by 2 on both sides, the answer is m>8
The ratio of the real sofa is 80:35 (16:7).
The ratio of the model sofa is 16:7
Yes they are equivalent.
(Divide 80:35 by 5 to get it in simplest form.)
Hey there!
<em>C = 0.25x + 40</em>
(a) For this part we solve for C when x = 240. Substitute 240 in for x.
C = 0.25(240) + 40
Multiply 240 by 0.25.
C = 60 + 40
Add.
C = 100
The cost is $100.
<u>Check</u>
100 = 0.25(240) + 40
100 = 60 + 40
100 = 100
(b) For this part we solve for x when C = 180. Substitute 180 for C.
180 = 0.25x + 40
Subtract 40 from each side.
140 = 0.25x
Divide each side by 0.25.
560 = x
This person drove 560 miles.
<u>Check</u>
180 = 0.25(560) + 40
180 = 140 + 40
180 = 180
(c) For this we must make an inequality with C = 150.
Since they want the cost to be <em>no more than</em> 150, we will use the ≥ symbol.
C ≥ 0.25x + 40
Substitute 150 for C. Solve for x.
150 ≥ 0.25x + 40
Subtract 40 from each side.
110 ≥ 0.25x
Divide each side by 0.25.
440 ≥ x
The max number of miles they can drive is 440.
<u>Check</u>
150 ≥ 0.25(440) + 40
150 ≥ 110 + 40
150 ≥ 150
Hope this helps!
