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Effectus [21]
2 years ago
14

Juan and Bill share a 12-ounce bucket of clay. By the end of the week, Juan has used 1 6 of the bucket, and Bill has used 2 3 of

the bucket of clay. How many ounces are left in the bucket?
Mathematics
1 answer:
White raven [17]2 years ago
5 0

Answer: 2 ounces

Step-by-step explanation:

Since Juan and Bill share a 12-ounce bucket of clay and Juan used 1/6 of the bucket, the quantity used by Juan will be:

= 1/6 × 12

= 2 ounce bucket of clay.

On the other hand, Bill used 2/3 of the bucket of clay. The quantity used will be:

= 2/3 × 12

= 8 ounce

Therefore, the quantity they both used will be:

= 2 ounce + 8 ounce

= 10 ounces.

The ounces left in the bucket will be:

= 12 ounces - 10 ounces

= 2 ounces

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Answer:

1A) Degree: 3

1B)  4 terms

1C) 7x^3-5x^2-4x+10

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2B) -2b^3-3b+3

Step-by-step explanation:

The given polynomial is -4x+7x^3-5x^2+10

Let us rewrite the polynomial in decreasing powers of x.

This gives us the expression;

7x^3-5x^2-4x+10-----> This is called the standard form.

So let us answer the question:

A) The degree is the exponent of the first term when the polynomial is written in standard form.

Degree: 3

B) The terms are separated by + or - signs.

Number of terms: 4

C) Standard form: 7x^3-5x^2-4x+10

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We expand using the distributive property to get:

7m-2n-3n-4m+1

We regroup the terms to get:

7m-4m-2n-3n+1

We simplify to obtain:

3m-5n+1

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