Divide by 3 to each ingredient (gives you a third) and then multiply your answer by two (gives you 2/3). For example, 2 divided by 3 is 2/3, multiply by two and get 1 1/3 t of butter. For the fruits, 4 divided by 3 is 4/3, simplified is 1 1/3, multiply by 2 and get 2 2/3.
The answer is actually choice A
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If we add up the equations straight down we will have 0a+2b = 6
Note how adding the 'a' terms gives us 3a + (-3a) = 3a-3a = 0a. The 0a term is really 0 since 0 times anything is 0. So the 'a' terms will go away
The equation 0a+2b = 6 turns into 0+2b = 6 and that simplifies to 2b = 6
To isolate b, we divide both sides by 2
2b = 6
2b/2 = 6/2
b = 3
We can stop here since only one answer choice has b = 3, which is choice A. However, let's keep going to find the value of 'a'
Plug b = 3 into any equation with 'a' and 'b', then solve for 'a'
3a+4b = 9
3a+4*3 = 9
3a+12 = 9
3a+12-12 = 9-12
3a = -3
3a/3 = -3/3
a = -1
So a = -1 and b = 3 pair up to form (a,b) = (-1,3)
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To check, plug this ordered pair back into both equations
Equation 1:
3a+4b = 9
3*(-1)+4*3 = 9
-3+12 = 9
9 = 9
Equation 1 has been checked out
Equation 2:
-3a-2b = -3
-3(-1)-2(3) = -3
3 - 6 = -3
-3 = -3
this is true as well
So this confirms that the final answer is choice A
The wardrobe is 3x2 inches and the tree is 18 feet
Answer:
- Question 1a. i)
- Question 1a. ii)
- Question 1b)
Explanation:
<u><em>Question 1 a. i) Find the value of x.</em></u>
For the smalll triangle you can write:
For tthe big triangle:
Substitute:
Solve for x:
<u><em>Question 1a ii) Find the volume of the frustrum</em></u>
- Find the volume of a cone with height = 2.7m + 1.8m = 4.5m, and radius = 2.5m
Formula:
Substitute:
- Find the volume of a cone with heigth = 1.8m and radius = 1m
- Subtract the volume of the small cone from the volume of the big cone
<u><em>Question 1b. Calculate the volume of the bin</em></u>
<u>i) Upper frustrum</u>
This is the same frustrum from the equation of above, thus ist volume is 27.6m³.
<u>ii) Lower frustrum</u>
<u>iii) Add the volume of the two frustrums</u>
Answer: (3,8) and 2-,10) or the slope will be 3/2x
