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dusya [7]
3 years ago
8

Joe needs to buy supplies for a birthday party. At the store, balloons cost $0.50 each and party hats each cost $1.25. If Joe wa

nts to spend exactly $20 on the party supplies, which equation below represents the number of balloons ( b) and the number of party hats ( h) that he can buy?
Mathematics
1 answer:
VladimirAG [237]3 years ago
5 0

Answer:

0.50b+1.25h=20

Step-by-step explanation:

Let b be the number of balloons and h be number of party hats.

We have been given that balloons cost $0.50 each, so cost of b balloons will be 0.50b.

We are also told that party hats each cost $1.25, so cost of h party hats will be 1.25h.

Further, Joe wants to spend exactly $20 on the party supplies. We can represent this information in an equation as:

0.50b+1.25h=20

Therefore, the equation 0.50b+1.25h=20 represents the number of balloons ( b) and the number of party hats ( h) that Joe can buy spending exactly $20.

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Interpreting composite functions in the real world The volume of air in a balloon is represented by the function v(r)=4/3 ³, whe
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There are two <em>true</em> statements:

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<h3>How to use composition between two function</h3>

Let be <em>f</em> and <em>g</em> two functions, there is a composition of <em>f</em> with respect to <em>g</em> when the domain of <em>f</em> is equal to the range of <em>g</em>. In this question, the <em>domain</em> variable of the function V(r) is replaced by substitution.

If we know that V(r) = (4/3) · π · r³ and r(t) = (1/4) · t², then the composite function is:

V(t) = (4/3) · π · [(1/4) · t²]³

V(t) = (4/3) · π · (1/64) · t⁶

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There are two <em>true</em> statements:

  1. When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
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To learn on composition between functions: brainly.com/question/12007574

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