lance has 3 2/3 yards of ribbon.he is making a puppet.how much ribbon,in yards ,will lance have left? da yards of the puppet is 2 1/2

Answers

Answer 1
Answer: 2 1/6 is the answer. Just subtract 3 2/3 minus 2 1/2

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Which expression is equivalent to 3x + 14 + 3x + 10?A. 4 ( x + 6 )
B. 3 ( x + 8 )
C. 6 ( x + 24 )
D. 6 ( x + 4 )
Please explain! :)
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Answers

The required expression is equivalent to 6(x + 4). Option D is correct.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property.

Here,
Combine like terms by adding the coefficients of the x-terms and the constants:

3x + 14 + 3x + 10 = 6x + 24

Therefore, the expression is equivalent to 6(x + 4).

Learn more about simplification here:

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So,

3x + 14 + 3x + 10

Let's put the placeholders together to make it simpler.

3x + 3x + 14 + 10

Collect Like Terms
6x + 24

This is simplified.

Option D, when multiplied, gives 6x + 24.  So that is the correct option.

What is the value of the underlined digit in the number 0.047

Answers

It's a repeated number

The amount of caffeine in the body of a healthy adult after drinking espresso decreases exponentially, with half-life of approximately 6 hours.That is, every 6 hours, the amount of caffeine in the body decreases by 50%. Charlotte wants to go to sleep at 11 pm and does not want more than 20 milligrams (mg) of caffeine in her system at the time. What is the latest time Charlotte can drink a 2-ounce shot of espresso that contains 80 mg of caffeine?

Answers

I know the answer and the answer is 11 AM

9 PM. 9-> 80 mg, 10->40mg, 11->20 mg

What is 78/500 simplify down to?

Answers

I think its 0.156 because / means division
2 can into 78 and 500 equally so well divide 78 and 500 by 2.

78/2 = 39
500/2=250
It can't be simplified any more so the answer is 39/250

The area of a square is (4x2 − 12x + 9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work

Answers

The length of each side of the square by factoring in the area expression completely is 3/2.

We have given that,

The area of a square is (4x^2 − 12x + 9) square units.

We have to determine the,

Determine the length of each side of the square by factoring in the area expression completely.

Length of each side 3/2 or 1.5 square units

(4^2 − 12x + 9)

=(2x-3)(2x-3)

2x-3=0

2x=3

x=3/2

The length of each side of the square by factoring in the area expression completely is 3/2.

To learn more about the area of the square visit:

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Answer:

Length of each side 3/2 or 1.5 square units

Step-by-step explanation:

(4^2 − 12x + 9)

=(2x-3)(2x-3)

2x-3=0

2x=3

x=3/2

What is the value of p in the equation?

One-fourth (8 minus 4 p) + 2 p = 12

Answers

1/4(8-4p) + 2p = 12

Use distributive property by multiplying 1/4 by each term inside parentheses:

2 - p + 2p =12

Combine like terms:

2 + p = 12

Subtract 2 from both sides:

P = 10

P is equal to 10

How to get your answer:

So 1/4(8-4p) + 2p = 12

First you need to distributive by multiplying 1/4 to each term like this:

2 - p + 2p =12

Then you have to combine to terms just as I did below:

2 + p = 12

Then you need to subtract 2 from both sides to get 10 so:

P = 10