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vaieri [72.5K]
3 years ago
12

PLZ Help 10Points!!!!!

Mathematics
1 answer:
Leya [2.2K]3 years ago
5 0

the correct answer would be D


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Answer:

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Find the cardinal number of the given set.<br><br><br> A = {{3, 5, 7, ... 25}}
Allisa [31]

Answer:

<h3>12</h3>

Step-by-step explanation:

The cardinal number of a set is the number of element in the set. Given the set A = {{3, 5, 7, ... 25}}, you can see that the elements of the set are odd numbers from 3 to 25. Writing out the full set;

A = {{3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}}

Counting the total number of element in the set, you will see that there are only 12 elements in the set. Hence the cardinal number of the set is 12 i.e n(A) = 12

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3 years ago
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Step-by-step explanation:

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You and your friend live 12 miles apart. you leave home at the same time and travel ttoward eacth other.you walk at the rate of
mr Goodwill [35]

Step 1: Assign variable for the unknown that  you need to find.

d_w \; \rightarrow \; Distance \; you \; traveled \; by \; walk \; in \; miles \\ d_c \; \rightarrow \; Distance \; traveled \; by \; your \; friend \; using \; bicycle \; in \; miles  \\ t \; \rightarrow \; Time \; Taken \; in \; hours

Step 2: List the given details

Distance between you and your friend is 12 miles. It means the total distance traveled by you by walk and your friend using bicycle when both travel towards each other to meet in 't' hours

Equation 1:

d_w+d_c=12

Your Walking rate and your friends Cycling rate is given below:

r_w=4mph\\r_c=11mph

Step 3: Set up an equation using the relationship between distance, time and rate.

Distance=Rate \times Time

d_w=r_w \times t=4t \\\\ d_c = r_c \times t = 11t

Substituting the above in equation 1

4t+11t=12 \\ Combining \; Like \; Terms \\\\ 15t=12 \\ Dividing \; 15 \; on \; both \; sides \\\\ 15t \div 15=12 \div 15 \\\\ t=0.8 hours

Distance traveled by you by walking from home and distance travelled by your friend in cycle in 0.8 hours is given below:

d_w=4t=4(0.8)=3.2miles \\\\ d_c=11t=11(0.8)=8.8miles

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