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professor190 [17]
3 years ago
9

Read each problem carefully and solve as required then answer the questions that follow

Mathematics
1 answer:
zepelin [54]3 years ago
7 0

Answer:

Step-by-step explanation:

1) Number of children = c

Number of adults = a

Total ticket = 250

c + a = 250 -------------------(I)

Cost of 'c' children tickets = 200c

Cost of 'a' adult tickets =  450a

Total cost = 76000

200c + 450a = 76000  ------------------(II)

Multiply (I) by (-200) and then add

(I)*(-200)          -200c - 200a = -50000

(II)                    <u> 200c + 450a = 76000 </u>

<u> </u>                                    250a = 26000

                                           a = 26000/250

a = 104

Plug in a = 104 in equation (1)

c + 104 = 250

         c = 250 - 104

        c = 146

2)Number of children = 146

Number of adults = 104

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madam [21]
In December she would have saved $1585 because 1235 + 250 = 1485. You can find how much money she raised in those 2 months by adding the totals of both months together, so 1485 + 1235 = 2720. She saved $2720 in the 2 months.
4 0
3 years ago
Choose an American household at random, and let the random variable X be the number of cars (including SUVs and light trucks) th
PilotLPTM [1.2K]

Answer:

19% of households have more cars than the garage can hold

Step-by-step explanation:

We are given the following distribution for the number of cars owned by a family.

Number of cars X:        0        1           2        3           4          5          6

Probability:                0.07    0.31     0.43    0.12     0.04     0.02    0.01

We have to find the percentage of households have more cars than the garage can hold.

A garage can hold two cars. Thus, the household with more than two cars are the households that  have more cars than the garage can hold.

The given distribution is a discrete probability distribution.

Thus, we evaluate:

P(x\geq 3) = P(x+3) + P(x+4) + P(x+5) + P(x+6)\\P(x\geq 3) =   0.12 +0.04+ 0.02 +0.01 = 0.19\\P(x\geq 3) = 19\%

Thus, 19% of households have more cars than the garage can hold.

4 0
3 years ago
What is X equal to? PS it’s not 180
goldfiish [28.3K]

Answer:

x=21

Step-by-step explanation:

180-117=63

63÷3=21

8 0
3 years ago
Youlanda bought a new laptop for $459 and paid 7.5% in sales tax. How much did Youlanda pay in sales tax?
Snezhnost [94]

Good evening!

In this question, we were asked to solve for the sales tax of the laptop that Youlanda bought.

We were given:
- Cost of laptop: $459

- Sales Tax: 7.5%

In order to find the amount Youlanda paid for the sales tax, we would multiply the cost of the laptop ($459) by the sales tax (0.075):

Calculate:
459 × 0.075 = 34.425

Your answer would be: $34.425

8 0
2 years ago
The answer is 16, I am just not sure how to arrive at that answer.
Serjik [45]

Step-by-step explanation:

∑ (4ⁿ⁺¹ / 5ⁿ)

Rewrite 4ⁿ⁺¹ as 4 (4ⁿ).

∑ 4 (4ⁿ / 5ⁿ)

∑ 4 (4/5)ⁿ

This is a geometric series.  The sum of an infinite geometric series is:

S = a / (1 −r)

where a is the first term and r is the common ratio.

Here, the first term is 16/5 (because n starts at 1), and the common ratio is 4/5.

S = 16/5 / (1−4/5)

S = 16/5 / (1/5)

S = 16

7 0
3 years ago
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