The expression 10a+6c gives the cost (in dollars) for a adults and c children to eat at a buffet restaurant.

Lilly and Alex went to a Mexican restaurant. Lilly paid $9 for 2 tacos and 3 enchiladas, and Alex paid $12.50 for 3 tacos and 4

Tema [17]

Let's call Tacos t and Enchiladas e.
Lily paid $9 for 2t and 3e
Alex paid $12.50 for 3t and 4e.
Thus the equations would be.
$2t + 3e = 9.00$
$3t + 4e = 12.50$

4 0

2 years ago

In a group of students 25% are enrolled in physics, 23% in sociology, 17% in chemistry, 14% in political science, 12% in anthrop

saveliy_v [14]

Notice that 25+23+17+14+12+9=100, so among these students there are no 2 studying 2 subjects.

The probabilities of selecting students studying a certain subject are as follows

P(physics)=25/100
P(chemistry)=17/100
P(maths)=9/100

P(sociology)=23/100
P(political sciences)=14/100
P(anthropology)=12/100

since all the sets are disjoint, that is there are no common elements, and since all the students in consideration are enrolled in one these 6 subjects:

P(physics)+P(chemistry)+P(maths)+P(sociology)+P(political sciences)
+P(anthropology)=1

P(a)=P(sociology)+P(political sciences)+P(anthropology)+P(physics)

thus

P(a')=1-P(a)=P(chemistry)+P(maths)=17/100+9/100=26/100=0.26

Answer: 0.26

8 0

2 years ago

A bottle of white wine at room temperature (68°f) is placed in a refrigerator at 4 p.m. its temperature after t hr is changing a

Nat2105 [25]

After an hour (4pm to 5pm) the temperature drops 18e⁻⁰˙⁶=9.9℉, so the temperature after an hour will be 68-9.9=58.1℉.
(The change -18e⁻⁰˙⁶ is negative indicating a drop in temperature.)

5 0

2 years ago

Read 2 more answers

A museum employee surveys a random sample of 350 visitors to the museum. If those visitors, 266 stopped at the gift shop. Based

Free_Kalibri [48]

Answer:

about 2432 people(well exactly this many are supposed to go)

Step-by-step explanation:

266 visitors out of 350 means 19/25 people go to the gift shop. now we multiply this by 3200 to get the number of people who would go to get 2432

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8 0

2 years ago

Read 2 more answers

Sue paid $46 for 2 adult and 4 child tickets to a play. Karen paid $86 for 4 adult and 7 child tickets to the same play. What is

jekas [21]

Answer:

adult: $11
child: $6

Step-by-step explanation:

Let a and c represent the costs of adult and child tickets, respectively. Then the two purchases can be described by ...

2a +4c = 46 . . . . . . Sue's purchase

4a +7c = 86 . . . . . . Karen's purchase

__

The system can be solved by subtracting the second equation from twice the first:

2(2a +4c) -(4a +7c) = 2(46) -(86)

c = 6 . . . . . . . simplify

We can substitute this value into half the first equation to find "a".

a +2(6) = 23

a = 23 -12 = 11

The cost of 1 adult ticket is $11; the cost of one child ticket is $6.

8 0

2 years ago