Art and his friends spent $62 at the movies. Admission tickets cost $12 apiece, and a bucket of popcorn costs $7. Which equation
2 answers:
Answer:
B.
Step-by-step explanation:
Let t represent the number of tickets and p represent the number of buckets of popcorn.
We have been given that admission tickets cost $12 a piece, so the cost of t tickets will be 12t.
We are also told that a bucket of popcorn costs $7, so the cost of p buckets of popcorn will be 7p.
Since Art and his friends spent $62 at the movies. This means that cost of 7 buckets of popcorn and t tickets will be equal to $62.
We can represent this information in an equation as:
Since we know that standard form of equation is : , therefore, option B is the correct choice.
Answer: B.
Step-by-step explanation:
Let t represents the number of tickets bought and p represents the number of buckets of popcorn bought.
Then,Since admission tickets cost $12 apiece, and a bucket of popcorn costs $7.
Therefore, the total admission cost = 12t
The total cost of popcorn= 7p
Also, Art and his friends spent $62 at the movies, then the equation will be
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The formula , where r! is 1*2*3*...r
is the formula which gives us the total number of ways of forming groups of r objects, out of n objects.
for example, given 10 objects, there are C(10,6) ways of forming groups of 6, out of the 10 objects.
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Selecting 4 people out of 12 can be done in :
many ways.
All the possible groups of 4 people, where the husband and wife are included, can be done in C(10, 2) many ways, since we only calculate the possible choices of 2 out of 10 people, to complete the groups of 4.
Thus, the
probability that both the husband and wife are hired is 45/495=0.09Part 2)
The probability that one is hired and the other is not =
P(husband hired, wife not hired) + P(wife hired, husband not hired)
these 2 are clearly equal, so it is enough to calculate one.
Consider the case : husband hired, wife not hired.
assuming the husband is hired, we have to calculate the possible groups of 3 that can be formed from 11-1 (the wife)=10 people.
this is
thus,
P(husband hired, wife not hired)=120/495=0.24
thus,
The probability that one is hired and the other is not =
P(husband hired, wife not hired) + P(wife hired, husband not hired) =
0.24+0.24=0.48
Answer:
A) 0.09
B) 0.48
Answer:
So, Emily will spend, 11.52 unit on wire
and, Andy will spend 18.72 unit on wire.
Step-by-step explanation:
Cost of wire is =
=
=
=
= 0.04 unit/inch
We know that,
12 inch = 1 foot and
1 yard = 3 foot [Note that unit of a quantity always denoted singular].
So, Emily will spend,
unit
= 11.52 unit on wire
and, Andy will spend,
unit
= 18.72 unit on wire.