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FrozenT [24]
2 years ago
12

Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under

the age of 12. Part A: Write a system of equations to represent the given scenario. Use the variable "a" for adults and "c" for children.
Mathematics
1 answer:
sveticcg [70]2 years ago
5 0

Answer:

$225 = $15 a + $ 10 c

Step-by-step explanation:

Given,

Total price = $225

Cost of concert ticket for adults= $15

Cost of concert ticket for children = $10

System of equation to represent scenario

a is variable for adult

c is variable for children

Now,

Total price =  $15 a + $ 10 c

$225 = $15 a + $ 10 c

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Three small circles C1, C2, and C3, each with radius 0.1 and centered at the origin are in the xy-, yz-, and xz-planes, respecti
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Curl is defined as:

\bigtriangledown \times F=\frac{ \int F.dr}{Area}

Which can be rewritten as:

\frac{ \int F.dr}{Area}=\frac{ \int_{C_1} Fdr}{Area}\widehat{k}+\frac{ \int_{C_2} Fdr}{Area}\widehat{i}+\frac{ \int_{C_3} Fdr}{Area}\widehat{j}

This is because C1 lies on the xy plane and thus it's unit vector will be \widehat{k}.

By similar arguments the rest will follow too.

Now, area of each circle will be: \pi \times (0.1)^2=0.01 \pi

Therefore, Curl, as per our definition will be:

\frac{\int F.dr}{Area}=\frac{0.01\pi}{0.01\pi}\widehat{k}+\frac{0.4\pi}{0.01\pi}\widehat{i}+\frac{5 \pi}{0.01\pi}\widehat{j}

Thus, Curl=40\pi \widehat{i}+500\pi \widehat{j} +\widehat{k}

Which is the required answer.

7 0
2 years ago
A home improvement store sold wind chimes for $30 each. A customer signed up for a free membership card and received a 5% discou
dsp73

the final price of the wind chime is $29.925 .

<u>Step-by-step explanation:</u>

Here we have , A home improvement store sold wind chimes for $30 each. A customer signed up for a free membership card and received a 5% discount off the price. Sales tax of 5% was applied after the discount. We need to find What was the final price of the wind chime . Let's find out:

Initially we have , 5% discount in $30 i.e.

⇒ (30(5))/100

⇒ (150)/100

⇒ $1.5 , So now price becomes $30 - $1.5 = $28.5 . At this amount there's 5% tax i.e.

⇒ (28.5(5))/100

⇒ (142.5)/100

⇒ $1.425

So now price becomes $28.5 + $1.425 = $29.925 . Therefore , the final price of the wind chime is $29.925 .

3 0
2 years ago
the mean length of 7 books is 258 pages . the longest book has 294 pages. what is the mean length of the other 6 books
den301095 [7]
I think you divide.. find the mean of all of the numbers?
8 0
2 years ago
1. Kim works as a book keeper and creates invoices for a variety of companies. Help Kim find the total
Zanzabum

This is about calculation of invoice.

<u><em>1) Total for the invoice = $2641.25</em></u>

<u><em>2) Total for the invoice = $30</em></u>

<u><em>3) Total for the invoice = $1925</em></u>

<u><em /></u>

  • 1) 12 cameras for $200 each

Amount for cameras = 12 × 200 = $2400

25 cables with length of 10 ft each cost $1.25

Amount for 10 ft cables = 25 × 1.25 = $31.25

12 ft specialty cables cost $1.75 per foot

10 of these cables will have length =12 × 10 = 120 ft

Amount for 10 of these cables = 1.75 × 120 = $210

Total for the Invoice = $2400 + $31.25 + $210

Total for the invoice = $2641.25

  • 2) 250 yards of rope costs $500.

Thus, price per yard = 500/250 = $2 per yard

For a customer that wants 15 yard;

Total for the invoice = 15 × $2 = $30

  • 3) Dump truck is rented for $275 per hour. And the minimum is 2 hours per day. This means that anything less than 1 hour, the money paid must be money for 2 hours.

Thus;

On monday; 1 hour will cost; 2 × $275 = $550

On Tuesday; 3 hours will cost; 3 × $275 = $825

On wednesday; 2hours will cost; 2 × $275 = $550

Total for the invoice = 550 + 825 + 550 = $1925

Read more at; brainly.com/question/17745127

8 0
1 year ago
Bob paid $5.60 for 0.8 lb of fresh peaches.<br><br> How much would 3.25 lb of peaches cost?
Rasek [7]

Answer:

$18.20

Step-by-step explanation:

3 0
1 year ago
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