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max2010maxim [7]
3 years ago
6

Calendar

Mathematics
1 answer:
nikitadnepr [17]3 years ago
5 0

Answer:

(a) C = 0.29<em>t</em> + 2.50

(b) 5

Step-by-step explanation:

The variables are defined as follows:

<em>t</em> = the number of  toppings

<em>C</em> = total cost for ice cream

It is provided that:

  • An ice cream with no toppings is $2.50.
  • Every topping is priced at $0.29 each.

(a)

The algebraic equation to find the total cost for ice cream depending on the number of  toppings is:

C = 0.29<em>t</em> + 2.50

(b)

Compute the number of toppings Mr. Torrance can buy if  he wants to spend only $4.00 on it as follows:

C = 0.29<em>t</em> + 2.50

4.00 = 0.29<em>t</em> + 2.50

0.29<em>t</em> = 4.00 - 2.50

0.29<em>t</em> = 1.50

<em>t</em> = 5.1724

<em>t</em> ≈ 5

Thus, Mr. Torrance can buy 5 toppings.

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Step-by-step explanation:

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Tamiku [17]

Answer:

The correct options are;

1. Definition of supplementary angles

2. m∠1 + m∠2 = m∠1 + m∠3

3. m∠2 = m∠3

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Step-by-step explanation:

The two column proof is presented as follows;

Statement    {}                                      Reason

1. ∠1 and ∠2 are supplementary {}       Given

∠1 and ∠3 are supplementary {}      

2. m∠1 + m∠2 = 180°     {}                      (1) Definition of supplementary angles

m∠1 + m∠3 = 180°

3. (2) m∠1 + m∠2 = m∠1 + m∠3      {}     Transitive Property

4. (3) m∠2 = m∠3     {}                            Subtraction property of equality

5. ∠2 ≅ ∠3     {}                                       (4) Definition of congruent angles

Given that angles ∠1 and ∠2 are supplementary, we have, ∠1 + ∠2 = 180°

Given that angles ∠1 and ∠3 are also supplementary, we also have, ∠1 + ∠3 = 180°

∴ ∠1 + ∠2 = 180° = ∠1 + ∠3

∠1 + ∠2 = ∠1 + ∠3

∠1 + ∠2 - ∠1 = ∠1 + ∠3 - ∠1

∴ ∠2 = ∠3

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4 0
3 years ago
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Answer:

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Step-by-step explanation:

The expression can be simplified by making use of the rules of exponents.

<h3>Rules of exponents</h3>

The relevant rules are ...

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<h3>Application</h3>

The given expression can be simplified by applying these rules.

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Answer:

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Step-by-step explanation:

we know that

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