10ax + 5bx - 8ay - 4by = 5x(2a + b) - 4y(2a + b) = (5x - 4y)(2a + b)
option d is the correct answer.
The maximum possible volume of this type of box that can be made from a 20 cm by 20 cm square of paper is 512cm³.
<h3>How to calculate the volume?</h3>
From the information, when the side of 1cm are cut, this will become an open box. The volume will be:
= 18 × 18 × 1
= 324cm³
Also, when 2cm is cut, the volume will be:
= 16 × 16 × 2
= 512cm³
Learn more about volume on:
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Answer:
the answer is B
Step-by-step explanation:
Each mark represents 20%, you move right three times. 20x3 = 60
60%
Answer:
61 bags of lettuce
Step-by-step explanation:
Let's create two equations representing the cost of bags of lettuce:
Val's Veggies: 250 + 1.50x = V
Sally's Salads: 100 + 4.00x = S
If you buy 60 bags of lettuce from either store, the answers will be equivalent:
If x = 60
250 + 1.50x = V
250 + 90 = V
340 = V
100 + 4.00x = S
100 + 240 = S
340 = S
Now that both equations are equivalent, all we need to do to tip the balance and make Val's Veggies cheaper is purchase one more bag of lettuce:
x = 61
250 + 1.50x = V
250 + 91.50 = V
341.50 = V
100 + 4.00x = S
100 + 244 = S
344 = S
Since V represents the price of a bag of lettuce at Val's Veggies and V is now less than S (Sally's Salads), Val's Veggies is now the cheaper option.
Therefore, 61 bags of lettuce must be purchased in order for Val's Veggies to be the cheaper option.
