Answer:
Choose an equation that has this same slope or the same coefficients of x and y - 2x + 3y.
Step-by-step explanation:
Parallel lines are lines which do not intersect. As a result they have the same slope. The line here is 2x + 3y = 12 which can be rearranged into slope intercept form to find the slope.
2x + 3y = 12
3y = 12 - 2x
y = 4 - 2/3 x
The slope of the line is -2/3. Choose an equation that has this same slope or the same coefficients of x and y - 2x + 3y.
Answer:
Q1:14 Q2:8903.5
Step-by-step explanation:
I find that using equations to solve problems makes it a lot easier.
The first company's equation would be y=5743+225.75x because 5743 is the set fee and 225.75 is for each ton of sugar. The second company would be y=7500+100.25x for the same reasons.
So we need to find a value of x that works for each company and a value of y that is the same for the cost.
Now we combine them.
Solve for x:
5743+225.75x=7500+100.25x
-5743 -5743
225.75x= 1757+100.25x
-100.25x -100.25x
125.50x=1757
/125.5 /125.5
x=14
Therefore, for Q1, the answer is 14.
Now we solve for y by substituting x for 14.
5743+225.75(14)
5743+3160.5
8903.5
We can also check this with the other equation
7500+100.25(14)
7500+1403.5
8903.5
So therefore, the answer to Q2 would be 8903.5.
The greatest sum, difference, product and quotient is 9, 12, 90 and 26 respectively.
<h3>How to determine the operations</h3>
Given the numbers -5 1/2, 3. 75, -20. 8, -4, 11 1/4
a. SUM
=8 + 
= 
= 
= 
= 9
B. Difference
= 8 - (-4)
= 8 + 4
= 12
C. Product
= 
= 
= 90
D. Quotient
= 
= 26
Thus, the greatest sum, difference, product and quotient is 9, 12, 90 and 26 respectively.
Learn more about algebra here:
brainly.com/question/4344214
#SPJ1`
Answer:
97in³
Step-by-step explanation:
L = 5.5, W = 2, H = 5
2(h × W) + 2(h × L) + 2(W × L)
= 2(5*2) + 2(5*5.5) + 2(2*5.5)
= 2(10) + 2(27.5) + 2(11)
= 20 + 55 + 22
= 97in³
