Answer:
2x + 3y ≥ 5
Step-by-step explanation:
See the graph attached.
The bold straight line passes through the points (1,1) and (4,-1).
Therefore, the equation of the straight line will be
⇒ 3(y + 1) = - 2(x - 4)
⇒ 3y + 3 = - 2x + 8
⇒ 2x + 3y = 5 ............. (1)
Now, the shaded region i.e. the solution to the inequality does not include the origin(0,0).
So, putting x = 0 and y = 0 in the equation (1) we get, 0 < 5
Therefore, the inequality equation is 2x + 3y ≥ 5 (Answer)
Answer:
25% increase
Step-by-step explanation:
length is 24 inches after the increase and width is 33 inches (i did length as up and down and width as side to side, that's how I always do it but I might be wrong let me know and I can fix it)
the area before it gets increased it 600
after the increase its 792
and 600 is 75.75% of 792
so it would be 25.25% increase
sorry this was so long hope this helps
Answer:
$20.00
Step-by-step explanation:
I took a test and got it correct.
1. find the LCD of 3 and 4 (12). so now your fractions are 5 4/12 and 3 9/12 perimeter is 2l + 2w so 2 (5 4/12) + 2( 3 9/12) = 10 4/12 + 7 6/12 = 17 10/12 or 17 5/6. this is reasonable because that the average perimeter of a sandbox.
2. LCD again is 12, so the fractions are 5 10/12 and 2 1/12. turn those into mixed fractions and get 70/12 and 25/12. 45/12 or 3 3/4. So she babysits 3 3/4 hours during the week.
3. The LCD for this is 8. now the fractions are 2/8 and 1 7/8 or 15/8. add 15/8 and 2/8 to get 17/8 or 2 1/8. He is using a total of 2 1/8 cups of flour.
4. 0.2
5. 0.054
6. 0.024
Answer:
Mia multiplied one side of the equation by 5/3 and the other side by 3/5. This makes the equation unbalanced and untrue. x should be 50
Step-by-step explanation:
