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KiRa [710]
2 years ago
7

What is the measure of 1?

Mathematics
2 answers:
emmasim [6.3K]2 years ago
8 0

Answer:

∠1 = 60°

Step-by-step explanation:

Using the angle at centre theorem.

The inscribed angle 1 is half the central angle, that is

∠1 = 0.5 × 120° = 60°

xenn [34]2 years ago
6 0
The answer to the question is a. 60°
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Two more than the quotient of a number and 5 is 8.<br><br> use variable w for the unknown number.
KengaRu [80]

Answer:

The answer is that w = 30

Step-by-step explanation:

To find this, we start by modeling the equation.

w/5 + 2 = 8

We know it looks like this since they say quotient, which means division problem.

w/5 + 2 = 8

w/5 = 6

w = 30

7 0
3 years ago
Students in 10th and 11th grade were asked whether they have a job. The raw data was converted to relative frequencies and recor
Softa [21]

Answer:

a)- Given that a student is a 10th grader, there is a 14% chance he or she has a job.

Step-by-step explanation:

Option (a) is correct here because Relative frequency means the probability of occurrence or number of time-specific event occurs to the total event.

Option (b) is not correct because We already know that student is in 10th or 11th grade, after that we get to know about 14% chance.

Option (c) & (d) are clearly not possible.

5 0
3 years ago
Read 2 more answers
Which is the real world situation that can be described by a linear inequality
garik1379 [7]

Answer:

Pretty sure it's B

Step-by-step explanation:

Everything else would be more like an equation. I think B is the only inequality.

7 0
3 years ago
Help me please do today please help
lara31 [8.8K]

Answer:

1)

A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the show. - 6x + 3 = 27

Explanation: As it is revealed in the situation, the family buys six tickets and the price of these tickets is unknown, so we must replace that with a variable, which gives us 6x so far. Next, it is shown that an additional three dollars were spent for a parking fee, so the next part of the equation is + 3. In total, they spend twenty-seven dollars, including the three dollars spent for the parking fee, which gives us the final part of the equation; = 27. Therefore, the equation will be 6x + 3 = 27.

Diego has 27 ounces of juice. He pours equal amounts for each of his three friends and has six ounces left for himself. - 3x + 6 = 27

Explanation: From the situation, we are told that Diego has three friends he shared the juice with and was left with six ounces for himself, meaning how much the friends took was unknown, but what was left after giving it away is clear, which was six ounces. So, the first part of the equation would be 3x + 6. It is also known that there was 27 ounces of juice at first, meaning what he shared and what he had left would equal 27, so the equation would be 3x + 6 = 27.

Jada worked for six hours preparing for the art fair. She spends three hours on a sculpture and then paints 27 picture frames. - 27x + 3 = 6

Explanation: When you first look at the story, you can see that six hours total were spent on the whole project together, meaning the final part of the equation would be = 6. The first part, however, would be concluded through how Jada spent an unknown amount of time for 27 picture frames and spent three more hours on a sculpture, which would lead to equal six. So the first part would be 27x + 3, and the actual equation for the story would be 27x + 3 = 6.

a) First story (6 tickets story) - x = price of tickets

   Second story (27 ounces of juice story) - x = ounces of juice given to each friend

   Third story (art project) - x = time spent on each picture frame

Important note: These are all what is unknown!

b)

6x + 3 = 27 (original equation)

Subtract three on both sides to isolate x: 6x = 24

Divide by four on both sides to isolate x: x = ($)4

3x + 6 = 27 (original equation)

Subtract by six on both sides to isolate x: 3x = 21

Divide by three on both sides to isolate x: x = 7 (oz.)

27x + 3 = 6 (original equation)

Subtract by three on both sides to isolate x: 27x = 3

Divide by twenty-seven on both sides to isolate x: x = 1/9 (hours)

c)

Diego gave each of his friends seven ounces of juice.

Inferred: We can infer that Diego had more than one friend that we was giving to. Seven ounces of juice were being given, and there are unknown amount of friends that are getting the ounces of juice.

Mommy spent $4 per person to attend the show.

Inferred: There was probably more than one person attending. The cost for one person('s ticket) was four dollars. The cost was at least $8 dollars as the mother also attended. They were trying to attend a show with an unknown amount of people.

Hope this helped somewhat! Please give brainliest, if that's okay with you! It just took a lot of effort lol :P Have a great night!

6 0
2 years ago
If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price
Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

P = 170 - Q

The Marginal cost is given by

MC = 52

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2

The Marginal revenue is the derivative of the Total revenue,

MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\

Assuming that the monopolist maximizes profits,

MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59

Therefore, the quantity is 59 units.

The price of each good is

P = 170 - Q \\\\P = 170 - 59 \\\\P = 111

Therefore, the price is $111.

3 0
3 years ago
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