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vladimir2022 [97]
2 years ago
13

Glven: 3x < 9. Choose the solution set.

Mathematics
2 answers:
Kitty [74]2 years ago
8 0

Answer:

x<3

Step-by-step explanation:

3x< 9

Divide each side by 3

3x/3 <9/3

x < 3

There is an open circle at 3 and a line going to the left

Talja [164]2 years ago
3 0

Answer:

x<3

Step-by-step explanation:

We divide equation by 3. So we get x<3. You can think of it with logic, too.

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Helpppppppp pleaseeee!!!!!!!!
SashulF [63]

Answer:

29.5 square inches

Step-by-step explanation:

Let's divide the shape into 3 parts to make it easy for us to find the area.

- a wide triangle

- a triangle

- a shorter rectangle

For the wider rectangle, the area is;

A1 = 8 × 2 = 16 in²

For the triangle, the area is;

A2 = ½(7 - 2) × 3

A2 = 7.5 in²

For the shorter rectangle, the area is;

A3 = 3 × 2

A3 = 6 in²

Total area = A1 + A2 + A3 = 16 + 7.5 + 6 = 29.5 square inches

8 0
3 years ago
PLEASE HELP!!!!<br> I need to solve for a, b, and c
nirvana33 [79]

Answer:

  • 25000 seats in section A
  • 14100 seats in sectin B
  • 10900 seats in section C

Step-by-step explanation:

The problem statement tells you half the total number of seats are in section A, so you already know that there are 25000 A seats. The revenue from those seats is

... 25000×$25 = $625,000

so the revenue from B and C seats must total

... $1,070,500 - 625,000 = $445,500

If all 25000 of the B/C seats were C seats, the revenue would be

... 25000×$15 = $375,000

The actual revenue from those seats is $445,500 -375,000 = $70,500 more than that. We know each B seat generates $5 more revenue, so there must be ...

... $70,500/$5 = 14,100 . . . . B seats

Then the balance of the 25000 B and C seats are C seats:

... 25,000 - 14,100 = 10,900 . . . . C seats

_____

<em>Alternate Solution Method</em>

The new Brainly answer format requires the answer be supplied before the working. In order to find the answer quickly so that I can fill in that section, I used a matrix method for solving the problem. The problem equations can be written ...

  • a + b + c = 50000
  • a - b - c = 0
  • 25a + 20b + 15c = 1070500

so the augmented matrix is ...

\left[\begin{array}{cccc}1&1&1&50000\\1&-1&-1&0\\25&20&15&1070500\end{array}\right]

A graphing calculator can be used to find the solution to this, generally using a function that produces the reduced row-echelon form. The attachment shows the solution using a TI-84 calculator.

___

<em>Comment on the Working</em>

Since the number of A seats is equal to the total of B and C seats, the number of A seats must be half the total number of stadium seats. Having figured that out, the problem is reduced to one of finding the mix of B and C seats that will produce the remaining revenue.

As with many mixture problems, it is convenient to look at differences. Start with the assumption that all of the desired revenue comes from the least contributor. Here, that is C seats. Then figure the difference that using a B seat makes ($20 -15 = $5) and the difference of the actual revenue and the amount that you got by assuming all C seats: 445,500 -375,000 = 70,500. Since replacing a C seat by a B seat adds $5 to the revenue, it is easy to figure the number of such replacements required in order to raise the revenue by $70,500.

If you write the equation for B seats, you find the solution to the equation mirrors this verbal description:

... 20b + 15(25000-b) = 445,500

... 5b = 445,500 - 375000 . . . . simplify, subtract 375000

... b = 70500/5 = 14100

8 0
2 years ago
Jimmy can run 3.5 miles in 20 minutes. how far can ne run in one hour and ten minutes?
prisoha [69]

Hello There!

Before we start, I am going to divide 3.5 by 2 because then we can multiply by 7 to see how far Jimmy can run in 70 minutes.

Jimmy can run 1.75 miles in 10 minutes.

To find out how many miles he can run in 70 minutes, we just multiply 1.75 by 7 and we get a product of 12.25

Jimmy Can Run 12.25 Miles In 70 Minutes

5 0
3 years ago
How do you solve 2y-7y=5
scZoUnD [109]

Answer:

y=-1

Step-by-step explanation:

1. Combine like terms

2y-7y = -5y

-5y=5

2. Divide by -5 and the answer is y=-1

6 0
3 years ago
In the bag, there are 19 green marbles for every 11 blue marbles. What is the ratio of green marbles to total marbles?​
hammer [34]

Answer:

19;30

Step-by-step explanation:

Adding them together is the total

8 0
2 years ago
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