Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Answer:

The dryer costs $325.

Step-by-step explanation:

Let w represent the cost of the washer and d represent the cost of the dryer.

They cost $587 combined. In other words:

[tex]w+d=587[/tex]

The washer costs $63 less than the dryer. Therefore:

[tex]w=d-63[/tex]

Thus, we have the system of equations:

[tex]\displaystyle \begin{cases} w+d = 587 \\ w=d-63\end{cases}[/tex]

We can solve it using substitution. Substitute the second equation into the first. Hence:

[tex](d-63)+d=587[/tex]

Combine like terms:

[tex]2d-63=587[/tex]

Add 63 to both sides:

[tex]2d=650[/tex]

And divide both sides by two. Hence:

[tex]d=325[/tex]

The dryer costs $325.

Further Notes:

And since the washer is $63 less, the washer costs:

[tex]w=(325)-63=262[/tex]

The washer costs $262.

Answer:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|

Step-by-step explanation:

Answer:

15:21:35 (I'm not sure, but this is my best guess)

Step-by-step explanation:

15:21 = A:B (plugging in 3 as a test)

21:35 = B:C

15:21:35 = A:B:C (can't simplify)

Answer:

Step-by-step explanation:

Find the slope of QR. From that we can find the the slope of the line perpendicular to QR.

Q(-2, -5)   & R(8,1)

[tex]Slope \ = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{1-[-5]}{8-[-2]}\\\\=\frac{1+5}{8+2}\\\\=\frac{6}{10}\\\\=\frac{-3}{5}[/tex]

So, the slope of the line perpendicular to QR =  -1/m - 1÷ [tex]\frac{-5}{3} = -1*\frac{-3}{5}=\frac{3}{5}[/tex]

Bisector of QR divides the line QR to two half. We have find the midpoint of QR.

Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]

               [tex]=(\frac{-2+8}{2},\frac{-5+1}{2})\\\\=(\frac{6}{2},\frac{-4}{2})\\\\=(3,-2)[/tex]

slope = 3/5  and the required line passes through (3 , -2)

y - y1 = m(x-x1)

[tex]y - [-2] = \frac{3}{5}(x - 3)\\\\y + 2 = \frac{3}{5}x-\frac{3}{5}*3\\\\y=\frac{3}{5}x-\frac{9}{5}-2\\\\y=\frac{3}{5}x-\frac{9}{5}-\frac{2*5}{1*5}\\\\y=\frac{3}{5}x-\frac{9}{5}-\frac{10}{5}\\\\y=\frac{3}{5}x-\frac{19}{5}[/tex]

Answer:

0.7

Step-by-step explanation:

1.5 - 0.8 = 0.7 :)) hope u get it right!!!

The distance between the school and the park will be 0.7 miles.

Distance is defined as the length between the two points just like in the question it is the length between the school and the park.

Given that:-

The distance will be calculated as:-

Distance   =   1.5   -   0.8   =   0.7 miles  

Therefore the distance between the school and the park will be 0.7 miles

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Answer:

Luis’s, because he flipped the inequality sign when he subtracted

Step-by-step explanation:

Given:

7.2b + 6.5 > 4.8b – 8.1.

Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.

Amelia:

7.2b + 6.5 - 7.2b > 4.8b – 8.1 - 7.2b

6.5 > -2.4b - 8.1

Correct

Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.

7.2b + 6.5 - 4.8b > 4.8b – 8.1 - 4.8b

2.4b + 6.5 > -8.1

Incorrect

Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6

7.2b + 6.5 - 6.5 > 4.8b – 8.1 - 6.5

7.2b > 4.8b - 14.6

Correct

Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.

7.2b + 6.5 + 8.1 > 4.8b – 8.1 + 8.1

7.2b + 14.6 > 4.8b

Correct

Answer:

A) 0.019

B) 0.563

Step-by-step explanation:

a) We will use Poisson distribution formula to solve this;

The formula is given as;

P(X = x) = ((e^-λ) × (λˣ))/x!

Mean is 1. Thus;

λ = 1 aircraft/hour.

Thus, the probability that more than three aircrafts will arrive within an hour is written as; P(X > 3)

Thus;

P(X > 3) = 1 - P(X ≤ 3)

Thus;

1 - P(X ≤ 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

Solving through online calculator, we have;

P(X > 3) = 1 - 0.98101

P(X > 3) = 0.01899

To 3 decimal places, we have; P(X > 3)= 0.019

b) Probability of one 1-hour interval not containing more than 3 arrivals is, let's first find;

P(X ≤ 3) = 1 - P(X > 3)

P(X ≤ 3) = 1 - 0.01899

P(X ≤ 3) = 0.98101

Since there are 30 one-hour intervals, then we have;

Probability that none of the thirty 1-hour intervals will contain more than 3 arrivals;

(P ≤ 3) = (0.98101)³⁰

(P ≤ 3) = 0.5626

Approximating to 3 decimal places, we have;

(P ≤ 3) = 0.563

Answer:

Step-by-step explanation:

True. The function appears to be f(x) = x/4.

10⁹ + 10⁸ + 10⁷ = 10⁷ (10² + 10¹ + 10⁰)

… = 10⁷ (100 + 10 + 1)

… = 10⁷ × 111

… = (2 × 5)⁷ × 111

… = 2⁷ × 5⁷ × 111

… = 2⁷ × 5⁶ × 555

Answer:

The smaller angle will be "156°".

Step-by-step explanation:

According to the question,

Before 12, the minute hand at 48 minutes:

= [tex]60-48[/tex]

= [tex]12[/tex] (minutes to 12)

So,

= [tex]12 \ minutes+14 \ minutes[/tex]

= [tex]26 \ minutes[/tex]

hence,

The smaller angle will be:

= [tex]26\times 6^{\circ} \ each[/tex]

= [tex]156^{\circ}[/tex]

Answer:

The angle is 204 degree.

Step-by-step explanation:

The angle turned by minute hand in 1 minute is 6 degree

The angle turned by the hour hand in 1 hour is

For the hour hand :

The angle turned in 1 hour = 360/12 = 30degree

At 2 : 00 , the angle covered = 30 x 2 = 60 degree

In each minute the hour hand moves  = 30 degrees / hour  x  1 hour/60 min  

                              = 1/2 degree  

So at 2: 48   the hour hand is at    2*30  + 48 * 1/2 = 84 degrees

For the minute hand:

In each minute it turns = 6 degrees  

So, at 48 minutes the minute hand is at   48 x 6 = 288 degrees

So, the angle between them is 288 - 84 = 204 degrees  

Answer:

y=9x^2 + 8

Step-by-step explanation:

using the power rule, we will differentiate each term separately

d/dx of 3x^3 = (3)(3)x^(3-1) = 9x^2

d/dx of 8x = 8x^(1-1) = 8

d/dx of -7 = 0

combining them we get the derivative which is y = 9x^2 + 8

Answer:

9x² + 8

Step-by-step explanation:

The given function to us is ,

[tex]\implies y = 3x {}^{3} + 8x - 7[/tex]

And we need to differentiate the given function with respect to x . Taking the given function and differenciating wrt x , we have

[tex]\implies y = 3x^3 + 8x - 7 [/tex]

Recall that , the derivative of constant is 0 . Therefore ,

[tex]\implies \dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3 + 8x - 7) \\\\\implies\dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3)+\dfrac{d}{dx}(8x) + 0 \\\\\implies\dfrac{dy }{dx}= 3\times 3 . x^{3-1} + 8\times 1 . x^{1-1} \\\\\implies\underline{\underline{\dfrac{dy }{dx}= 9x^2+8}} [/tex]

Hence the derivative of given function is 9x² + 8 .

===========================================================

Explanation:

1/2 is the probability of flipping tails because we have one side labeled tails out of 2 sides total.

1/6 is the probability of rolling a 5, because there's one side we want out of 6 total.

The two events (flipping the coin and rolling the die) are independent, allowing us to multiply those previously mentioned fractions:

(1/2)*(1/6) = (1*1)/(2*6) = 1/12

Answer:

{0,-3,-9,5,7}

Step-by-step explanation:

range = all y values

function =(x,y)

so all the second values are ranges

Answer:

a=3

b=1

Step-by-step explanation:

3=2a-3 => a=3

b=2*2-3 = 1

Answer:

z = 83/(6-c-t)

Step-by-step explanation:

-cz +6z = tz +83

Subtract tz from each side

-cz +6z -tz = 83

Factor out z

z(6-c-t) = 83

Divide by (6-c-t)

z(6-c-t) /(6-c-t) = 83/(6-c-t)

z = 83/(6-c-t)

Answer:

x=-4

Step-by-step explanation:

:Distribute 2 to 9.7 and -4.8x

3.4+19.4-9.6x=61.2

:combine 3.4 and 19.4

22.8-9.6x=61.2

: subtract 22.8 from both sides

-9.6x=61.2-22.8

:divide both sides by -9.6

-9.6x/-9.6=38.4/-9.6

x=-4

Answer:

x = 50.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

An angle is cut in half by the bisector.

Since the given angle is 172, its bisector creates 2 equal angles.

2x = 172                 Divide both sides by 2

x = 172/2

x = 86

Answer:

Step-by-step explanation:

Let "ab" represent the digits of the number. The value of "ab" is 10a+b.

a+b = 7

The value of "ba" is 10b+a

(10b+a) - (10a+b) = 9b-9a = 27

b-a = 3

a+b = 7

b-a = 3

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

2b = 10

b = 5

a = 2

The number is 25.

Answer:

6x^2+2x-9x-3

=6x^2-7x-3

Answer:

There is no actual question here, this is just a statement.

re-read the question .... i assume it says "what is the highest that she will get during a dive?"

highest point is at t = 33/32  

– 16(33/32)^2 + 33(33/32) + 4 =

62.015625

Step-by-step explanation:

Lindsey will be 30 feet in the air at approximately 1.09 seconds and 2.48 seconds.

To find the time at which Lindsey will be 30 feet in the air, we need to solve the quadratic equation y = -16x² + 33x + 45 for x when y = 30.

Setting y equal to 30, we have:

30 = -16x² + 33x + 45

Rearranging the equation, we have:

16x² - 33x - 15 = 0

To solve this quadratic equation, we can factor or use the quadratic formula. In this case, factoring might be more challenging, so we'll use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Plugging in the values from our equation, we have:

x = (-(-33) ± √((-33)² - 4(16)(-15))) / (2(16))

Simplifying, we get:

x = (33 ± √(1089 + 960)) / 32

x = (33 ± √(2049)) / 32

Calculating the square root of 2049, we have:

x = (33 ± √(2049)) / 32

x ≈ 1.09 or x ≈ 2.48

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Complete question is:

Lindsey is a member of the swim team at a local university. She has been working hard to perfect her dive for an upcoming swim meet. Lindsey's dive can be modeled by the quadratic equation y = – 16x² + 33x + 45, where x is time in seconds, and y is Lindsey's height in the air in feet.

At what time will Lindsey be 30 feet in air?

Answer:

20.94021

Step-by-step explanation:

mark me brainlist

Answer:

53.92

Step-by-step explanation:

5 miles =  8 km

1 miles = 1.6 km

33.7 x 1.6 = 53.92

Answer:

slope= 1/2

y-intercept= 0,7

Answer:

slope = 1/2 or 0.5, the y-intercept is (0,7)

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

The surface area of the pyramid is 16.65 m^2.

Step-by-step explanation:

Answer:

126720x⁸

Step-by-step explanation:

explanations are in the images above .. you can reach me personally for expanded help

Answer:

10

Step-by-step explanation:

last year he planted 12.

1/3 of that is 12/3 = 4.

6 more than that is 4 + 6 = 10.

Answer: C.)  10

Step-by-step explanation:

D. 11520m

Answer:

Solution given:

initial velocity[u]=480m/s

g=10m/s²

maximum height=?

now

we have

maximum height=[tex]\frac{u²sin²\theta}{2g}[/tex]

where

[tex]\theta=90°[/tex]

=[tex]\frac{480²*sin90}{2*10}=11520m[/tex]

Answer:

The expected value is an expression of the weighted average and can be taken as the (arithmetic) mean

As the number of trials is increased in a binomial experiment, the expected values obtained, in each of the set of trials continuously tend to the theoretical expected value

Step-by-step explanation: