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Dmitry [639]
2 years ago
7

tiffany and justin have baseball card collections. justin has 36 more cards than tiffany if they have a total of 92 cards, how m

any does each have ?
Mathematics
1 answer:
saw5 [17]2 years ago
7 0

Answer:Tiffany has 28 Justin has 64

Step-by-step explanation:

64+28=92

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Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse
Drupady [299]

Answer:

a'(d) = \frac{d}{5} + \frac{3}{5}

a(a'(d)) = a'(a(d)) = d

Step-by-step explanation:

Given

a(d) = 5d - 3

Solving (a): Write as inverse function

a(d) = 5d - 3

Represent a(d) as y

y = 5d - 3

Swap positions of d and y

d = 5y - 3

Make y the subject

5y = d + 3

y = \frac{d}{5} + \frac{3}{5}

Replace y with a'(d)

a'(d) = \frac{d}{5} + \frac{3}{5}

Prove that a(d) and a'(d) are inverse functions

a'(d) = \frac{d}{5} + \frac{3}{5} and a(d) = 5d - 3

To do this, we prove that:

a(a'(d)) = a'(a(d)) = d

Solving for a(a'(d))

a(a'(d))  = a(\frac{d}{5} + \frac{3}{5})

Substitute \frac{d}{5} + \frac{3}{5} for d in  a(d) = 5d - 3

a(a'(d))  = 5(\frac{d}{5} + \frac{3}{5}) - 3

a(a'(d))  = \frac{5d}{5} + \frac{15}{5} - 3

a(a'(d))  = d + 3 - 3

a(a'(d))  = d

Solving for: a'(a(d))

a'(a(d)) = a'(5d - 3)

Substitute 5d - 3 for d in a'(d) = \frac{d}{5} + \frac{3}{5}

a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}

Add fractions

a'(a(d)) = \frac{5d - 3+3}{5}

a'(a(d)) = \frac{5d}{5}

a'(a(d)) = d

Hence:

a(a'(d)) = a'(a(d)) = d

7 0
2 years ago
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mel-nik [20]

Answer:

8/21

Step-by-step explanation:

1- 2/7 - 1/3 = 21/21 - 6/21 - 7/21 = 8/21

5 0
2 years ago
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This figure represents a step in a compass-and-straightedge construction. Identify the construction.
aleksley [76]

a congruent line segment

4 0
3 years ago
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Solve for x and y.<br>x=<br>y= ​
lianna [129]

Answer:

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6 0
3 years ago
Audrey gave a 0.90 tip to a waitress for serving a meal costing $6.00. what percent of the bill was her tip?
maw [93]

Answer:

<u>15%</u> percent of the bill was her tip.

Step-by-step explanation:

Given:

Audrey gave a $0.90 tip to a waitress for serving a meal costing $6.00.

Now, to find the percent of the bill was her tip.

The bill was = $6.00.

The tip she gave = $0.90.

Now, to get the percent of the bill was her tip:

\frac{The\ tip}{The\ bill}\times 100

=\frac{0.90}{6.00} \times 100

=0.15\times 100

=15\%.

Therefore, 15% percent of the bill was her tip.

7 0
3 years ago
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