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77julia77 [94]
3 years ago
15

Solve 3x-2y=15 for y?

Mathematics
1 answer:
Nikitich [7]3 years ago
7 0

Answer:

y=3x-15

Step-by-step explanation:

3x-2y=15

   +2y +2y

3x=15+2y

-15 -15

y=3x-15

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The average systolic blood pressure was found to be 140 mm for people who have high responsibility jobs, specifically investment
9966 [12]

Answer:

Option B)

H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}

Step-by-step explanation:

We are given the following in the question:

Hypothesis:

The doctors and u=instructor claims that practicing yoga reduces blood pressure and hence is beneficial to people.

Population mean, μ =  140 mm

Sample mean, \bar{x} =  139 mm

Sample size, n = 51

Sample standard deviation, s = 5 mm

Thus, we can design the null hypothesis and alternate hypothesis as

H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}

The null hypothesis states that the population have a blood pressure of 140 mm. The alternate hypothesis states that yoga reduces the blood pressure and the sample has a blood pressure less than 140 mm.

Thus, the correct answer is

Option B)

H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}

3 0
3 years ago
A concert hall has 8,000 seats and two categories of ticket prices, $29 and $34. Assume that all seats in each category can be s
Greeley [361]

Using a system of equations, it is found that:

  • For a profit of $255,000, 3400 tickets of $29 and 4600 tickets of $34 must be sold.
  • For a profit of $271,000, 200 tickets of $29 and 7800 tickets of $34 must be sold.
  • For a profit of $235,000, 7400 tickets of $29 and 600 tickets of $34 must be sold.

--------------------

The variables of the system are:

  • x, which is the number of $29 tickets sold.
  • y, which is the number of $34 tickets sold.

Total of 8,000 seats, all can be sold, thus:

x + y = 8000 \rightarrow x = 8000 - y

--------------------

For a profit of $255,000, we have that:

29x + 34y = 255000

29(8000 - y) + 34y = 255000

5y = 23000

y = \frac{23000}{5}

y = 4600

x = 8000 - 4600 = 3400

For a profit of $255,000, 3400 tickets of $29 and 4600 tickets of $34 must be sold.

--------------------

For a profit of $271,000, we have that:

29x + 34y = 271000

29(8000 - y) + 34y = 271000

5y = 39000

y = \frac{39000}{5}

y = 7800

x = 8000 - 7800= 200

For a profit of $271,000, 200 tickets of $29 and 7800 tickets of $34 must be sold.

--------------------

For a profit of $235,000, we have that:

29x + 34y = 235000

29(8000 - y) + 34y = 235000

5y = 3000

y = \frac{3000}{5}

y = 600

x = 8000 - 600 = 7400

For a profit of $235,000, 7400 tickets of $29 and 600 tickets of $34 must be sold.

A similar problem is given at brainly.com/question/22826010

3 0
3 years ago
Prove or disprove that the point lies on the circle centered at the origin
tigry1 [53]

Answer:

Step-by-step explanation:

5 0
2 years ago
Wendy paints a rectangular wall that is 10.5 feet tall and 9.2 feet wide. What is the area of the wall that she paints?
algol [13]

Answer:

96.6

Step-by-step explanation:

We know that the Area of the rectangle is,

A =Length x width

So the Area of the wall painted by Wendy will be,

A = 10.5 x 9.2 = 96.6

So; the area painted by Wendy will be <em><u>96.6 square feet</u></em>.

-Mark me brainliest and a 5 star :D

6 0
2 years ago
Read 2 more answers
Are the lines x=3 and y= 5 perpendicular or parallel?
Svet_ta [14]
They are parallel since x and y are bottom and top

3 0
3 years ago
Read 2 more answers
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