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Bingel [31]
2 years ago
8

3(x − 5) − 5x = −25 + 6x

Mathematics
2 answers:
guajiro [1.7K]2 years ago
8 0

Answer:

x = \frac{5}{4}

Step-by-step explanation:

3(x - 5) - 5x = - 25 + 6x ← distribute parenthesis and simplify left side

3x - 15 - 5x = - 25 + 6x

- 2x - 15 = - 25 + 6x ( subtract 6x from both sides )

- 8x - 15 = - 25 ( add 15 to both sides )

- 8x = - 10 ( divide both sides by - 8 )

x = \frac{-10}{-8} = \frac{5}{4}

Alekssandra [29.7K]2 years ago
5 0

x=5/4

the explantion would be to long lol

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Select the correct answer. if you roll a single six-sided die, what is the probability of rolling an odd number? a. b. c. d. 3
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Answer:

\frac{1}{2}

Step-by-step explanation:

P(odd number)= \frac{3}{6}

                        =\frac{1}{2}

5 0
2 years ago
The pulse rates of 174 randomly selected adult males vary from a low of 39 bpm to a high of 111 bpm. Find the minimum sample siz
Daniel [21]

Answer:

a. The sample size is approximately 97 adults

Step-by-step explanation:

The given parameters are;

The number of adults surveyed, n = 174

The lowest value of the pulse rate = 39 bpm

The highest value of the pulse rate = 111 bpm

The level of confidence used for determining the sample size = 90%

The given sample mean = 3 pm of the population mean

a. The range rule of thumb states that the standard deviation is approximately one quarter (1/4) of the range

The range = 111 bpm - 39 bpm = 72 bpm

Therefore, the standard deviation, σ = 72 bpm/4 = 18 bpm

The sample size, 'N', is given as follows;

N = \dfrac{z^2 \cdot p \cdot q}{e^2}

Where;

N = The sample size

z = The confidence level, 90% (z-score at 90% = 1.645)

p·q = σ² = 18² = 324

e² = 3² = 9

N = \dfrac{1.645^2  \times 324}{3^2} = 97.4169

Therefore the appropriate sample size, N ≈ 97 adults.

8 0
2 years ago
A line with y-intercept b contains the point (0, 0) (0, <br> b. (b, <br> b. (b, 0)
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Yintercept is the point where the line crosses the y axis and where x=0
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3 0
3 years ago
Mrs. Baker found 25 shells on the beach. She brought 2/5 of the shells to her
Basile [38]

Answer:

A. 10 B. 15

Step-by-step explanation:

A. 25/1 * 2/5= 50/5

reduced it is 10

B. 25-10=15

8 0
2 years ago
Read 2 more answers
Before the pandemic cancelled sports, a baseball team played home games in a stadium that holds up to 50,000 spectators. When ti
spayn [35]

Answer:

(a)D(x)=-2,500x+60,000

(b)R(x)=60,000x-2500x^2

(c) x=12

(d)Optimal ticket price: $12

Maximum Revenue:$360,000

Step-by-step explanation:

The stadium holds up to 50,000 spectators.

When ticket prices were set at $12, the average attendance was 30,000.

When the ticket prices were on sale for $10, the average attendance was 35,000.

(a)The number of people that will buy tickets when they are priced at x dollars per ticket = D(x)

Since D(x) is a linear function of the form y=mx+b, we first find the slope using the points (12,30000) and (10,35000).

\text{Slope, m}=\dfrac{30000-35000}{12-10}=-2500

Therefore, we have:

y=-2500x+b

At point (12,30000)

30000=-2500(12)+b\\b=30000+30000\\b=60000

Therefore:

D(x)=-2,500x+60,000

(b)Revenue

R(x)=x \cdot D(x) \implies R(x)=x(-2,500x+60,000)\\\\R(x)=60,000x-2500x^2

(c)To find the critical values for R(x), we take the derivative and solve by setting it equal to zero.

R(x)=60,000x-2500x^2\\R'(x)=60,000-5,000x\\60,000-5,000x=0\\60,000=5,000x\\x=12

The critical value of R(x) is x=12.

(d)If the possible range of ticket prices (in dollars) is given by the interval [1,24]

Using the closed interval method, we evaluate R(x) at x=1, 12 and 24.

R(x)=60,000x-2500x^2\\R(1)=60,000(1)-2500(1)^2=\$57,500\\R(12)=60,000(12)-2500(12)^2=\$360,000\\R(24)=60,000(24)-2500(24)^2=\$0

Therefore:

  • Optimal ticket price:$12
  • Maximum Revenue:$360,000

3 0
3 years ago
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