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cluponka [151]
3 years ago
9

Tickets to a school play cost $3 for students and $8 for adults. On opening night, $1,000 was collected and 150 tickets sold. Us

e substitution to solve a system of equations to find how many of each kind of ticket were sold?
Mathematics
1 answer:
Masteriza [31]3 years ago
6 0

Answer:

s+a=150

3s+8a=1000

a=-s+150

3s-8s+1200=1000

-5s=-200

s=40

a=110

40 student and 110 adult tickets were sold

Step-by-step explanation:

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How to write this in number form 4 less than the product of 6 and a number
saul85 [17]

Answer:

6x - 4

Step-by-step explanation:

The problem is asking for 4 less than a number times 6. Set this number equal to x, leaving us with 4 less than 6x, or 6x - 4.

3 0
2 years ago
Artemis seeks knowledge of the width of Orion's Belt, which is a pattern of stars in the Orion constellation. She has previously
Verdich [7]

Answer:

Orion's belt width is 184 light years

Step-by-step explanation:

So we want to find the distance between Alnitak and Mintaka, which is the Orions belts

Let the distance between the Alnitak and Mintaka be x,

Then applying cosine

c²=a²+b²—2•a•b•Cosθ

The triangle is formed by the 736 light-years and 915 light years

Artemis from Alnitak is

a = 736lightyear

Artemis from Mintaka is

b = 915 light year

The angle between Alnitak and Mintaka is θ=3°

Then,

Applying the cosine rule

c²=a²+b²—2•a•b•Cosθ

c² =736² + 915² - 2×, 736×915×Cos3

c² = 541,696 + 837,225 - 1,345,034.1477702404

c² = 33,886.85222975954

c = √33,886.85222975954

c = 184.0838184897 light years

c = 184.08 light years

So, to the nearest light year, Orion's belt width is 184 light years

3 0
3 years ago
7. A triangle has sides with lengths of 10 metres,
Kay [80]

Answer:

It is not a right triangle.

Step-by-step explanation:

We can prove this by Pythagorean theorem because it represents to a right triangle.

Pythagorean theorem:

a² + b² = c²

Now substitute the values.

Note: the longest side will represent c

So,

a = 10 m

b = 16 m

c = 20 m

10² + 16² = 20²

The objective here is to make them equal.

100 + 256 = 400

356 ≠ 400

They are not equal so it is not considered a right triangle.

7 0
3 years ago
A table is 4 ft high. A model of the table is 6 in. high. What is the ratio of the height of the actual table to the height of t
Sliva [168]

Answer:

8:1

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the actual table's height in inches is 4*12 = 48 inches.

48/6 = 8

so the ratio is 8:1.

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3 years ago
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MAXImum [283]
It = 16x because 13 plus 3 is 16 so its 16x !!!
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