Show your work
2) Is(-3,-7) a solution to
4x – 8y < 24
Show your work

Answer: There are 69 adults and 72 children went to the concert.

Step-by-step explanation:

Let x be the number of adults, and y be the number of children.

x + y = 141

3.5x + 2.5y = 421.5

x + y =141

x = 141 - y

3.5(141 - y) + 2.5y = 421.5

493.5 - 3.5y + 2.5y = 421.5

493.5 - y = 421.5

-y = -72

y = 72

x + y = 141

x + 72 = 141

x = 69

Answer:

x=4

Step-by-step explanation:

1. Rearrange terms

[tex]2(-3x+3)=-18[/tex]

2. Distribute

[tex]-6x+6=-18[/tex]

3. Subtract 6 from both sides of the equation

[tex]-6x+6-6=-18-6[/tex]

4. Simplify by subtracting the numbers

[tex]-6x + 6-6=-18-6[/tex]

[tex]-6x=-18-6[/tex]

[tex]-6x=-24[/tex]

5. Divide both sides of the equation by the same factor

[tex]\frac{-6x}{-6} = \frac{-24}{-6}[/tex]

6. Simplify

a) Simplify the fraction

[tex]\frac{-6x}{-6} = \frac{-24}{-6}[/tex]

[tex]x = \frac{-24}{-6}[/tex]

b) Divide the numbers

[tex]x=+4[/tex]

7. Remove the postive sign.

[tex]x=4[/tex]

Answer:

I dont even know lol

Step-by-step explanation:

Answer:

Like when its in a file? They just like to take your points

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

Answer D:2/3

Step-by-step explanation:

There are 175 cubic unit initially in the tank

The table of values is given as:

Time (minutes)     Amount of Water

1                              150

3                             100

6                             25

Calculate the slope (m) of the table using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (100 - 150)/(3 -1)

Evaluate

m = -25

This means that as the time increases by 1, the amount of the water reduces by 25 cubic unit

When x = 1, y = 150

So, we have:

x = 1 - 1 when y = 150 - (-25)

This gives

x = 0 when y = 175

Hence, there are 175 cubic unit initially in the tank

Read more about linear equations at:

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Answer:

Area of shaded region=2 ×3.14×R -2×3.14×r(where R is lager radius and r is smaller radius.)

Therefore area of shaded region=2×3.14×12 -2×3.14×8

=2×3.14(12-8)

=6.18 ×4

=24.72 inc^2

Step-by-step explanation:

Answer:

The dot plot represents the number of apples picked by a family. Explain how the outlier of the data affects the statistical summary of the data.

Select the answers from the drop-down menus to complete the statements.

The mean apples picked decreases because of the outlier.

The median apples picked decreases because of the outlier.

The range increases because of the outlier.

Step-by-step explanation:

The mean apples picked decreases because of the outlier.

The median apples picked decreases because of the outlier.

The range increases because of the outlier.

A dot plot, also called a dot chart, is a sort of simple histogram-like chart used in statistics for very small data sets where values fit into a number of discrete bins. To create a dot plot, count the number of data points in each bin and draw a stack of dots with that number of dots on top for each bin.

The number of apples gathered by a household is represented by the dot plot. Describe how the data outlier influences the statistical summary of the data.

To finish the statements, choose the appropriate answers from the drop-down menus.

Because of the outlier, the average number of apples picked lowers.

Because of the outlier, the median number of apples chosen falls.

Because of the outlier, the range expands.

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Answer: I think it is 142

Step-by-step explanation:

91 + 51 = 142

Answer:

y < 4

Step-by-step explanation:

2(5y-2) < 36

Divide both sides by 2.

5y-2 < 18

Add 2 to both sides.

5y < 20

Divide both sides by 5 to isolate y.

y < 4

Answer:

Step-by-step explanation:

Past: The birds flew away quickly

Present: The geese honk at the passerby

Future: The ducklings will hatch soon

Answer:

[Past] The birds flew away quickly.

[Present] The geese honk at passersby.

[Future] The ducklings will hatch soon.

_______________________________

I can't see the options on the second image.

Answer:

-2/5 and 3/2

Step-by-step explanation:

f(x)=10x²-11x-6

0=10x²-11x-6

(5x+2)(2x-3)=0

5x+2=0, 2x-3=0

5x=-2, 2x=3

x=-2/5, x=3/2

Answer:

x=1, y=-5

Step-by-step explanation:

4(1)+2y=-6

2y=-10

y=-5

or

-3x-2(-5)=7

-3x=-3

x=1

Hope this helps!

Answer:

x(x+1) = 12

Step-by-step explanation:

If a number is x then it's consecutive number will be x + 1.

And their product x(x+1)

Answer:

x = P/2m

Step-by-step explanation:

x is the subject of the formula, and we can express it as: x = P / (2m)

To make x the subject in the formula P = 2mx, we can rearrange the equation to isolate x on one side.

Starting with the equation:

P = 2mx

To solve for x, divide both sides of the equation by 2m:

P / (2m) = (2mx) / (2m)

This simplifies to:

P / (2m) = x

Therefore, x is the subject of the formula, and we can express it as:

x = P / (2m)

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Answer:

false

Step-by-step explanation:

because if one of the right side goes to two or more of the left its not a function

Answer:

a) 0.39984 = 39.984% probability of no orders in five minutes.

b) 0.06563 = 6.563% probability of 3 or more orders in five minutes.

c) The length of time is 0.63 hours

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Orders arrive at a Web site according to a Poisson process with a mean of 11 per hour.

This means that [tex]\mu = 11h[/tex], in which h is the number of hours.

a) Probability of no orders in five minutes.

Five minutes means that [tex]h = \frac{5}{60} = \frac{1}{12}[/tex], so [tex]\mu = \frac{11}{12} = 0.9167[/tex]

This probability is P(X = 0). So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-0.9167}*(0.9167)^{0}}{(0)!} = 0.39984[/tex]

0.39984 = 39.984% probability of no orders in five minutes.

b) Probability of 3 or more orders in five minutes.

This is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-0.9167}*(0.9167)^{0}}{(0)!} = 0.39984[/tex]

[tex]P(X = 1) = \frac{e^{-0.9167}*(0.9167)^{1}}{(1)!} = 0.36653[/tex]

[tex]P(X = 2) = \frac{e^{-0.9167}*(0.9167)^{2}}{(2)!} = 0.168[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.39984 + 0.36653 + 0.168 = 0.93437[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.93437 = 0.06563[/tex]

0.06563 = 6.563% probability of 3 or more orders in five minutes.

c) Length of a time interval such that the probability of no orders in an interval of this length is 0.001.

This is h for which:

[tex]P(X = 0) = 0.001[/tex]

We have that:

[tex]P(X = 0) = e^{-\mu}[/tex]

And

[tex]\mu = 11h[/tex]

So

[tex]P(X = 0) = 0.001[/tex]

[tex]e^{-11h} = 0.001[/tex]

[tex]\ln{e^{-11h}} = \ln{0.001}[/tex]

[tex]-11h = \ln{0.001}[/tex]

[tex]h =-\frac{\ln{0.001}}{11}[/tex]

[tex]h = 0.63[/tex]

The length of time is 0.63 hours

Answer:

Answer is B

Step-by-step explanation: −4x + 5= −3

1. Subtract 5 from both sides −4x +5 −5 = −3 −5

2. You remain with this  −4x = −8

3. Divide both side by -4. -4x/-4 = -8/-4

4. Answer will be x = 2

Answer:

[tex]4\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{48} \\\\4\sqrt{3}[/tex]

Answer:

the second option is correct

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

5

Hope this helps you :D

Answer:

25

200 divided by 8 is 25.

Step-by-step explanation:

Answer:

300ft

Step-by-step explanation:

Answer:

300 ft

Step-by-step explanation:

1 yd = 3 ft

100 yd = 100 * 1 yd = 100 * 3 ft = 300 ft

Answer: 300 ft

Answer:

84 miles

Step-by-step explanation:

Distance between the two cities on the drawing = 1½ in.

Scale of drawing = ¼ inches is to 14 miles

Actual distance between the two cities using proportion:

(14*1½)/¼

Actual distance = 84 miles

Answer:

Step-by-step explanation:

study lol

for a minute i thought it was c. y = -3x + 2.

Answer:

81 is the mode

Step-by-step explanation:

THe mode is the number ina. Set of data that appears the most. In this case, 81 appears twice while all the other numbers only appeared once. So 81 in this case is the mode.  

Answer:

Yes

Step-by-step explanation:

16x+15y=-8

16(-8)+15(8)=-8

-8=-8

Hope that helps :)

Answer:

True

Step-by-step explanation:

The left side  − 8  is equal to the right side  − 8 , which means that the given statement is always true.

Answer:

1. False

2. True

3. False