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shusha [124]
3 years ago
6

Graph the line that passes through (5, 5), and is perpendicular to a line whose slope is –2.

Mathematics
1 answer:
antoniya [11.8K]3 years ago
5 0

Answer:

y = 1/2x + 5/2

Step-by-step explanation:

y = 1/2x + b

5 = 1/2(5) + b

5 = 5/2 + b

5/2 = b

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Stacy is selling tickets for the school play. She has a total of 200 seats available, and there will be two types of tickets off
Ganezh [65]

She sold 74 child tickets and 126 adult tickets

Step-by-step explanation:

Stacy is selling tickets for the school play

  • She has a total of 200 seats available, and there will be two types of tickets offered, child and adult tickets
  • She sold each child ticket for $6 , each adult ticket for $10 , and made a total of $1704

We need to find how many of each ticket  she sold

Assume that x is the number of child tickets and y is the number of the adult tickets

∵ She has a total of 200 seats available

∵ She sold x child tickets

∵ She sold y adult tickets

- Add x and y, then equate the sum by 200

∴ x + y = 200 ⇒ (1)

∵ She sold each child ticket for $6

∵ She sold each adult ticket for $10

∵ She made a total of $1704

- Multiply x by 6 and y by 10, then add the products and

   equate them by 1704

∴ 6x + 10y = 1704 ⇒ (2)

Now we have a system of equation to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -2000 ⇒ (3)

- Add equations (2) and (3) to find x

∴ -4x = -296

- Divide both sides by -4

∴ x = 74

- Substitute the value of x in equation (1) to find y

∵ 74 + y = 200

- Subtract 74 from both sides

∴ y = 126

She sold 74 child tickets and 126 adult tickets

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0
4 years ago
What is the domain of f?
lana [24]

Answer: C) All real values of x such that x \le 0

In other words, x must be 0 or smaller.

===================================================

Explanation:

The reason why is because we must make the stuff under the square root to never be negative. We must make -2x be 0 or larger.

So,

-2x \ge 0 \\\\-2x+2x \ge 0+2x \ \text{ ... add 2x to both sides}\\\\0 \ge 2x\\\\2x \le 0  \ \text{ ... flip both sides, and the inequality sign}\\\\x \le 0/2  \ \text{ ... divide both sides by 2}\\\\x \le 0

As an example, if x = -2, then -2x = -2(-2) = 4 is positive. Applying the square root to a positive number is valid.

But if x = 5, then -2x = -2*5 = -10 is under the square root, which is not allowed.

3 0
3 years ago
Matthew bought 45 oranges 3/5 of them to make orange juice how many oranges does he have left. Thx
KengaRu [80]

Answer:

18

Step-by-step explanation:

First find out how many oranges he used to make the orange juice.

3/5 = 0.6

(45)(0.6)

27

He used 27 oranges to make the juice.

Now we can figure out how many oranges he has left.

45 - 27

18

Matthew has 18 oranges left.

Hope this helps!

7 0
3 years ago
I need to know the answer now
Wewaii [24]

Um, ok I'm not entirely sure what number sets you need, but I'll do my best.

Integers: 5, -3, 0, 1, -12

Fractions: 1/2, 4 1/2

Decimals: 14.2, -19.4, 0.125

All of the above can also be considered Rational numbers. Rational numbers are numbers that can be expressed as a fraction. All For example, 14.2 is 14 1/5.

Irrational number: \pi

Pi is irrational. It cannot be expressed as a fraction.

4 0
4 years ago
Which is not a correct way to rewrite this expression using the distributive<br>property?<br>​
xz_007 [3.2K]

Answer: I think the correct answer is B

Step-by-step explanation:

3 0
4 years ago
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