Paul's bathtub is clogged. He has to empty 30 liters of water by hand. Paul has a 3-liter, a 4-liter, and a 5-liter bucket. If Paul carries two buckets each trip, what combinations of sizes allow him to empty the bathtub in exactly four trips?

Answers

Answer 1
Answer:

The combinations of sizes allow him to empty the bathtub in exactly four trips is a 5-liter bucket with the 3-liter bucket twice, a 3-liter bucket and the 4-liter bucket.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Paul's bathtub is clogged. He has to empty 30 liters of water by hand.

Paul has a 3-liter, a 4-liter, and a 5-liter bucket.

If Paul carries two buckets each trip, we need to find the combinations of sizes that allow him to empty the bathtub in exactly four trips.

5 and 3 = 8 liters ,  

5 and 4 = 9 liters,  

3 and 4 = 7 liters.

8 + 7 + 8 + 7 = 30 liters,

So,

He can take the 5-liter bucket with the 3-liter bucket twice, and then he can use the 3-liter bucket and the 4-liter bucket twice.

Learn more about the unitary method;

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Answer 2
Answer: 5 and 3 = 8 liters ,  5 and 4 = 9 liters, and 3 and 4 = 7 liters.

8 + 7 + 8 + 7 = 30 liters, so he can take the 5 liter bucket with the 3 liter bucket twice, and then use the 3 liter bucket and the 4 liter bucket twice.

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why does the multiplication property of equality not allow us to divide both sides of an equation by zero​

Answers

Answer:

Yeah, it doesn't...and it won't happen

Step-by-step explanation:

Because dividing with zero isn't a "thing" in math. Let's say you have 12 cookiesbut you're saying you are going to divide among zero people? See? It doesn't even have a real answer because no action happens, but if you said you would split the 12 cookies among 6 people that would means each person would get 2. So multiplying and dividing with zero isn't real math, that's why it doesn't work with equations and math in general.

What property is this? 1. 2(4+3−6) = 2×4+2×3−2×6
Commutative Property

Associative Property

Distributive Property

Identity Property

Zero Property

What property is this?
2. 7000×1=7000
Distributive Property

Zero Property

Identity Property

Commutative Property

Associative Property

What property is this?
3. 3×(7×1)=(3×7)×1
Distributive Property

Zero Property

Associative Property

Commutative Property

Identity Property

What property is this?
4. 48×0=0
Commutative Property

Distributive Property

Identity Property

Associative Property

Zero Property

What property is this?
5. 4×2×1×9=9×1×2×4
Commutative Property

Identity Property

Zero Property

Associative Property

Distributive Property

Answers

1. Distributive (the 2 is distributed)

2. Identity (multiplying by 1 doesn't change the number)

3. Associative (parentheses can move)

4. Zero (multiplying by 0 = 0)

5. Commutative (you can multiply in any order)

Question: What property is this?

Answers:

1. Distributive the 2 is distributed to everything

2. Identity multiplying by 1

3. Associative parentheses move

4. Zero multiplying anything by 0 = 0

5. Commutative order multiplied doesn't matter

Which two points have a undefined slope A.(-1, 1) and (1, -1)

B.(-2, 2) and (2,2)

C.(-3, -3) and (-3,3)

D.(-4,-4) and (4, 4)

Answers

Answer:

C.(-3, -3) and (-3,3)

Step-by-step explanation:

When we have a vertical line the slope is undefined.

That means the x values stay the same

C.(-3, -3) and (-3,3)

This has the same x values

m = (y2-y1)/(x2-x1)

   =( 3- -3)/(-3 - -3)

   (3+3)/(-3+3)

   6/0

  undefined

Answer: C

Step-by-step explanation:

Jane needs to make $40 when working 5 days, Monday through Friday. She earned $28.75 Monday through Wednesday. How much must Jane earn in the next two days?

Answers

\text{Hello there!}\n\n\text{We know that Jane needs to make \$40 in 5 days}\n\n\text{She earned \$28.75 working for 3 days}\n\n\text{We need to find how much she needs to make in the next two days, so}\n\text{subtract 40 by 28.75}\n\n40 - 28.75=11.25\n\n\text{She needs to make 11.25 dollars in the next two days}\n\n\boxed{\text{Answer: \$11.25}}

The school student council sponsored a Switch Day where students were able to switch classes every 20 minutes. The students are in school for 7 hours. If a student switched as often as possible, how many classrooms in all did that student visit? (Hint there are 60 minutes in 1 hour)

Answers

21 classes, because if the school hours are 7 hours long it would be 21 classes


Which expression is equivalent to 16a - 18b + 20a

Answers

(16a+20a)-18b
=36a-18b