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saveliy_v [14]
2 years ago
7

The aquarium charges an entrance fee of $5 per child and $12 per adult. On one day, 100 people visited the aquarium. They collec

ted $780 in admission fees. Which system of equations could be used to determine the number of adults that visited the aquarium? Let c represent the number of children and a represent the number of adults.
Mathematics
1 answer:
igor_vitrenko [27]2 years ago
6 0

Answer:

We set up 2 equations

A) C + A = 100

B) 5C + 12A = 780

We multiply A by -5

A) -5C -5A = -500   then we add B

B) 5C + 12A = 780

7A = 280

Number of Adults = 40

5C = 780 - 40*12

5C = 780 -480

5C = 300

Number of Children = 60

Step-by-step explanation:

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Jade wants to buy a $200,000 term life insurance policy. She is 34 years old. Using the premium table, what is her annual premiu
AnnZ [28]

Premium rates are usually for  premium per fixed face value. Jade's annual premium for a 10 year policy is given by Option b: $1,202

<h3>How to calculate the total annual premium for $x ?</h3>

If its given that the annual premium is $p per $y face value, then we can calculate the annual premium for $1 face value and then use it to calculate annual premium for $x.

Using proportions, we get:

\rm \$y \: face \: value : \$p \: annual \: premiun\\\\\rm \$1 \: face \: value : \$\dfrac{p}{y} \: annual \: premiun\\\\\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premiun\\

For given case, from the tables, we see that for age 34, and 10 year life insurance for female gender , there is annual premium of 6.01 per $1000 face value.
Thus, we have p = 6.01, y = 1000

Since Jade wants to buy Life insurance for $200,000, thus, x = $200,000

Putting it in the above derived formula, we get:

\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premium\\\\\rm \$200000\:face\: value : \$\dfrac{6.01 \times 200000}{1000} \: annual \: premium\\ = \$1202 \: annual \: premiun

Thus, Jade's annual premium for a 10 year policy is given by Option b: $1,202

Learn more about calculating annual premium cost here:

brainly.com/question/13168988

4 0
2 years ago
Which expression is equivalent to 3x/x+1 divided by x + 1?
kiruha [24]
I hope this helps you.

7 0
3 years ago
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Please take a look at the question. Please explain and type your explaination. Please make it quick as possible. Thankyou!
Firlakuza [10]

Answer:

Yes, it's true

Step-by-step explanation:

A fraction is a part of a whole number for example 1/2. 1/2 is a half of one whole piece and if you multiply it into any whole number whether it's 2,4,6,8,10...... basically, if you multiply a fraction less than one with a non-zero whole number, it will always be less than the whole number it's being cut into smaller pieces. However, if the fraction is greater than 1, we would technically have an answer greater than the whole number product, just something to remember.

5 0
3 years ago
Which table represents a linear function?
Delvig [45]

Answer:

I would go with the first one.

Step-by-step explanation:

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6 0
3 years ago
The first side of a triangle is 9 meters shorter than the second side. The third side is 3 times as long as the first side. The
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Answer:

The longest sides is 18 m long.

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7 0
2 years ago
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