Answer:
The sorting pattern is as follows:
Apples: Pound = 4:1 or 1.75:1 or 1:1.75
Given are i) 15 apples to 26.25 lbs = 15:26.25=1:1.75 Hence goes to the third box
ii) 14 apples to 3.5 lbs =14:3.5 = 4:1 lb. hence, goes to first box
iii) 2 apples to 0.5 lbs: =2:0.5 =4:1 hence, goes to first box
iv) 20 apple to 35.0 lbs: =20:35.0 =1:1.75 hence, goes to third box
v) 7 apples to 4.0 lbs: = 7:4.0=1.75:1 hence, goes to second box
i - Third box
ii - First box
iii - First box
iv) - third box
v) - second box
C
Angle 1 and 2 make up a straight angles and straight angles always equal 180.
Subtract 35 from 180 to find Angle 2s measure which is 145
Answer:
A. 5 1/2 and D. 11/2
Step-by-step explanation:
Make improper fraction
8*1+3=11/8
Solve by multiplying:
4*11/8
44/8
Simplified is 11/2
We can turn it back into a mixed number
2*5+1=11 so 5 1/2
Notice how on both sides of the equation there is one coefficient (number being multiplied by x) and a constant (just a plain number). You want all constants to be on one side and all coefficients on the other. He’s how do to that:
2x+14=-21-5
I am choosing that all constants will be on the right side, so I will do the inverse operation of any constant on the left side to remove it. Here, a constant on the left side is 14. I will subtract 14 from both sides of the equation. Positive 14 minus 14 is zero, so it cancels out and removes it.
2x+14-14 = -21-5x
2x = -35-5x
See how the 14 is now gone? The equation looks much simpler now. Okay next, you can see that there is a coefficient on the “constant side” that I’ve chosen, so I am going to remove that. Negative 5 plus positive 5 equals zero. Do this on both sides of the equation.
2x+5x = -35-5x+5x
7x = -35
Now the equation is just two numbers. All that is left to do is divide by the last coefficient, 7, in this case.
7x/7 = -35/7
x = -5
Answer:
x = 145
Step-by-step explanation:
x and 35 are adjacent angles and are supplementary, sum to 180° , then
x + 35 = 180 ( subtract 35 from both sides )
x = 145
