By three times the number variable
The answers are MK and PY and AH.
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.
Answer:
x=11/4
Step-by-step explanation:
Answer:
A) 32
Step-by-step explanation:
f(x) = 2x² - 24x
If f(x) = 1280, then 2x² - 24x = 1280
Subtract 1280 from both side ⇒ 2x² - 24x - 1280 = 0
Divide both sides by 2 ⇒ x² - 12x - 640 = 0
Factorise ⇒ (x - 32)(x + 20) = 0
Solve ⇒ x = 32 or -20
Therefore, x = 32 (as x ≥ 0)