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3 years ago

2 (4 minus 3 x) + 5 (2 x minus 3) = 20 minus 5 x?

Mathematics

1 answer:

bonufazy [111]3 years ago

3 0

Answer:

x=3

Step-by-step explanation:

2(4-3x)+5(2x-3)=20-5x

8-6x + 10x - 15= 20-5x

subtract 8 from 15

subtract 6x from 10x getting you

4x-7= 20-5x

add 5x to both sides

add 7 to both sides

getting you

9x=27

divide by 9 to both side getting you x=3

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Please Help ASAP! Will name Brainliest! Question: Minimize the objective function P = 5x + 8y for the given constraints. x ≥ 0 y

maksim [4K]

Answer:

Option D.

Step-by-step explanation:

Minimize the objective function P = 5x + 8y for the given constraints.

$x\geq 0,y\geq 0$

$2x+3y\geq 15$

$3x+2y\geq 15$

The related equations of above inequalities are

$2x+3y=15$

$3x+2y=15$

For $2x+3y=15$ ,

x y

0 5

7.5 0

Plot (0,5) and (7.5,0) and join them by straight line.

For $3x+2y=15$ ,

x y

0 7.5

5 0

Plot (0,7.5) and (5,0) and join them by straight line.

Check the inequalities for (0,0).

$2(0)+3(0)\geq 15\Rightarrow 0\geq 15$ False

$3(0)+2(0)\geq 15\Rightarrow 0\geq 15$ False

It means both lines are solid lines and shaded region for each lies opposite side of (0,0).

From the below graph it is clear that the vertices of feasible region are (0,7.5), (3,3), (7.5,0).

Point P = 5x + 8y

(0,7.5) P=5(0)+8(7.5)=60

(3,3) P=5(3)+8(3)=15+24=39

(7.5,0) P=5(7.5)+8(0)=37.5 (Minimum)

So, minimum value is 37.5.

Therefore, the correct option is D.

3 0

3 years ago

The number of patients treated at Dr. Artin’s dentist office each day was recorded for nine days. These are the data: 6, 6, 6, 5

klemol [59]

Answer:

D) 5.6, 6, 6, 1

Step-by-step explanation:

Before we start solving this problem, we need to first rearrange the provided data from smallest to greatest, so we get:

5, 5, 5, 5, 6, 6, 6, 6, 6

now we can find the mean. The mean is nothing but the average of the provided values, so we need to add them and then divide them into the total amount of data:

$mean=\frac{5+5+5+5+6+6+6+6+6}{9}=5.6$

next, in an odd number of data, the median is the middle number when written in order. In this case the middle number (the one in the position 5) is 6, so:

median=6

the mode will tell you what is the value that has the greatest number of occurrencies. This is the number that appears the most on our list.

Mode=6

and the range is the difference between the greatest value and the smallest value:

Range=6-5=1

so the answer is D.

6 0

3 years ago

What is the meaning of the t-intercept of the altitude graph? The y-intercept?

Gnom [1K]

Answer: Hello mate!

We know that you have a graph of y vs t, and we know that this is an "altitude" graph.

Then we can assume that the y represents the altitude, and t represents the time, and this graph shows the altitude of something as a function of the time.

the t-intercept means that the graph passes through the y-axis, this means that, in this point, y is equal to zero:

Then, at the t-intercept, we have y = 0, which means that at this time (where is the intersection) the altitude is equal to zero.

The y-intercept means that the graph passes through the y-axis, where t = 0

this is the initial value of the altitude, where t = 0 usually denotes the time where we start to measure.

3 0

3 years ago

Estimate each product :<br> 1/9 x 83

Gnom [1K]

Answer:

8.5

Step-by-step explanation:

1/9=0.1111111111111

0.1111111111111=0.1

83=80 or 85

0.1*85=8.5

3 0

3 years ago

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Lemur [1.5K]

Answer:

9/30 2021

Step-by-step explanation:

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6 0

3 years ago

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