Answer:
7) A school group is assigned to survey vast museum collections of all macroscopic (not microscopic) animal species collected from various regions around the world. What observation are the students most likely to make? A) The majority of the animals are wormlike. B) The majority of the animals possess a …
Step-by-step explanation:
Answer:
Step-by-step explanation:
- x + y + z = -3 --> (1)
- 3y - z = 4 --> (2)
- 2x - y - 2z = -5 --> (3)
<u>Add up (1) and (2)</u>
- x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1 --> (4)
<u>Double (2) and subtract from (3)</u>
- 2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 8
- 2x - 7y = -13 --> (5)
<u>Double (4) and subtract (5)</u>
- 2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1
<u>Finding x</u>
- x + 4(1) = 1 ⇒ x = 1 - 4 ⇒ x = -3
<u>Finding z</u>
<u>So the answer is: </u>
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Answer:
5 cups of walnuts are needed.
Step-by-step explanation:
This question can be solved using a rule of three.
One batch of walnut muffins uses 1 1/3 cups of walnuts.
So one batch of walnut muffins uses 
cups of walnuts.
How many cups of walnuts are needed to make 3 3/4 batches of muffins?
How many cups are required for 
batches.
1 batch - (4/3) cups
(15/4) batches - x cups
5 cups of walnuts are needed.
