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luda_lava [24]
2 years ago
8

At the fall festival, a booth is selling $5 meals and $10 meals. They sell 1000 meals in all and collect $3500. Which system of

equations could represent the meals sold?
Mathematics
1 answer:
Tamiku [17]2 years ago
5 0

The system of equation that can be used to represent the number of meals sold is

x + y = 1000

5x + 10y = 3,500

Given:

Number of $5 meals sold = x

Number of $10 meals sold = y

Total number of meals = 1000

Total amount of meals = $3,500

The equations:

Quantity

x + y = 1000

Price

5x + 10y = 3,500

Therefore, the system of equation that can be used to represent the number of meals sold is

x + y = 1000

x + y = 10005x + 10y = 3,500

Learn more about equation:

brainly.com/question/15165519

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"three times a number is greater than or equal to 12 and less than 21"
Diano4ka-milaya [45]

Answer:

The required inequality is: 12 ≤ 3x < 21

Step-by-step explanation:

We are given: three times a number is greater than or equal to 12 and less than 21

We need to answer following questions:

1) The inequality translated in numerical form

Let number = x

12 ≤ 3x < 21

2) Your work solving the inequality

We need to find value of x. Divide the inequality by x

4 ≤ x < 7

3) The solution graphed on a number line

It is shown in figure attached.

4) The solution in set notation

The set notation is: Considering x belongs to natural numbers N

{∀ x|x∈N, 4 ≤ x < 7}

5) The solution in interval notation

The interval notation is: [4,7)

because we have 4 less than equal to x and x is less than 7

8 0
3 years ago
If f(x)=ln(sin(2x)), f''(π/4) is equal to​
Licemer1 [7]

Use the chain rule to compute the second derivative:

f(x)=\ln(\sin(2x))

The first derivative is

f'(x)=(\ln(\sin(2x)))'=\dfrac{(\sin(2x))'}{\sin(2x)}=\dfrac{\cos(2x)(2x)'}{\sin(2x)}=\dfrac{2\cos(2x)}{\sin(2x)}

f'(x)=2\cot(2x)

Then the second derivative is

f''(x)=(2\cot(2x))'=-2\csc^2(2x)(2x)'

f''(x)=-4\csc^2(2x)

Then plug in π/4 for <em>x</em> :

f''\left(\dfrac\pi4\right)=-4\csc^2\left(\dfrac{2\pi}4\right)=-4

4 0
3 years ago
The two dot plots show the number of guests per night.
LiRa [457]

A dot plot or for chart is a statistical plot consisting of data points that are plotted on a scale using dots.

<h3>What is a dot plot?</h3>

Your information is incomplete. Therefore, an overview of a dot plot will be given. A dot plot is a data visualization where the day points are plotted as dots on the graph.

Dot plots are used for relatively small data sets. It uses the dots to show where the data values in the distribution are.

Learn more about dot plot on:

brainly.com/question/21862696

7 0
2 years ago
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How many solutions does -3(2x + 6) = -6x - 18 have
viktelen [127]

Answer: 0=0 The input is an identity or it is true for all values

-3(2x+6)=-6x-18

(-3*2x)+(-3*6)=-6x-18

-6x+-18=-6x-18

0=0

5 0
3 years ago
PLEASE HELP MATH EXPAND LOG
blsea [12.9K]

Answer:

½log3 + ½logx

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½(log(3x))

½(log3 + logx)

½logx + ½log3

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