Marie buys 4 cans of orange drinks $32. Atty buys 2 cans of orange drinks $18.By using the matrix method, state the price for each cans of the drink.

Answers

Answer 1
Answer: I don't know what the matrix method is but the price per drink is 8 dollars. hope this helps.

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In △ABC, m∠A=39 △ A B C , m ∠ A = 39 °, a=11 a = 11 , and b=13 b = 13 . Find c c to the nearest tenth.

Answers

Answer:

c=17.5\ units

Step-by-step explanation:

step 1

Find the measure of angle B

Applying the law of sines

(a)/(sin(A))=(b)/(sin(B))

substitute the given values

(11)/(sin(39\°))=(13)/(sin(B))

sin(B)={sin(39\°)}(13)/(11)

B=arcsin[sin(39\°)(13)/(11)]

B=48.1\°

step 2

Find the measure of angle C

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

so

A+B+C=180\°

substitute the given values

39\°+48.1\°+C=180\°

87.1\°+C=180\°

C=180\°-87.1\°=92.9\°

step 3

Find the length side of c

Applying the law of sines

(a)/(sin(A))=(c)/(sin(C))

substitute the given values

(11)/(sin(39\°))=(c)/(sin(92.9\°))

c=(11)/(sin(39\°))sin(92.9\°)

c=17.5\ units

What is 2.16 repeat rewrite as a fraction

Answers

2.16 repeat as a fraction is: 

x = 2.16666666
10x = 21.6666666
100x = 216.666666
100x - 10x = 216.666666 (repeat) - 21.6666666 (repeat) = 195
90x = 195
x = 195 / 90
x = (195/3) / (90/3)
x = 65 / 30
x = (65/5) / (30/5)
x = 13 / 6

x = 13/6

HELP PLEASE!!!!!! I need help on 5. My answer was wrong. THIS IS DUE TOMORROW. 25 points for this.

Answers

Answer:

57

Step-by-step explanation:

Because side BD is similar to side BA

triangle BCD seems to be double the size of triangle BAD

By finding the side lengths of the missing sides BC and CD you can get the perimeter.

Because we know the triangle is double the size you can double the lengths of AD and BD to get 24 and 18, if you add 6,9,24, and 18. You will get 57.

A restaurant claims to have served 352,000,000 hamburgers. What is this number in scientific notation?​

Answers

Answer:

3.52 × 10⁸

Step-by-step explanation:

Scientific notation is written in: Number that is in the ones place × 10^power.

Here, the number is 3.52, since 3 has the largest placement.

The power on the 10 should be the number of 0's on 352,000,000/3.52. That is 100,000,000. That number has 8 0's, so the power is to the 8th.

Putting that together, this number in scientific notation in 3.52 × 10⁸.

What is 7,298,341 rounded to the nearest 10000

Answers

the answer is 7,300,000
tge answer is definitely 7,300,000

a carnival sold tickets for $1.50 for adults and $1.00 for students. there were 54 tickets sold for a total of $70.50. write a system of equations to represent the number of adult tickets,x, and the number of student tickets,y. find the solution and explain what it means. I'll help you if you help me

Answers

Answer:

The number of adult tickets are 33 and the number of student tickets are 21 .

Step-by-step explanation:

As

The number of adult tickets x  and the number of student tickets y.

As given

A carnival sold tickets for $1.50 for adults and $1.00 for students.

There were 54 tickets sold for a total of $70.50.

Equations becomes

x + y = 54

1.50x + 1.00y = 54 × 70.50

Simplify the above

(150x)/(100) + (100y)/(100) = (7050)/(100)

150x + 100y =7050

Two equations are

x + y = 54

150x + 100y =7050

Multiply x + y = 54 by 150 from 150x + 100y =7050

150x - 150x + 100y - 150y = 7050 - 8100

-50y = -1050

50y = 1050

y = (1050)/(50)

y = 21

Putting the value of y in the equation .

x + 21 = 54

x = 54 - 21

x = 33

Therefore the number of adult tickets are 33 and the number of student tickets are 21 .