On a map of North Carolina, the distance between Charlotte and Wilmington is 14.75 inches. If 2 inches
equals 24 miles, what is the approximate distance between the two cities?

Answer:

The line with be duchess with shading below.

None of the above

Step-by-step explanation:

The correct inequality expression is;

y < 2x+3

Note that the inequality sign between the expressions is the one that will determine the nature of the line.

Since the sign is not containing the "equal to" sign this means that the line will be broken(duchess).

Since it is "less than", the shading will be below the line.

Considering the given option, None of the option is correct

For the inequalities

[tex]\rm\bold{ y < 2x+3 ......(1)} \\\\\rm \bold{y > 2x +3....(2)}}[/tex]

For Case (1)

Option d will be chosen as correct option

hence " none of these" will be the answer  

For Case (2)

Option b will be chosen as correct option

hence " The line with be duchess with shading above " will be the answer  

Since the sign of the inequality here is not clear let us consider 2 cases that are represented by equation (1) and equation (2)

[tex]\rm y < 2x+3 ......(1) \\y > 2x +3....(2)[/tex]

Considering case 1 as represented by equation (1)

The y values are always less than the expression for the line 2x+3 hence points on the line [tex]\rm y = 2x +3[/tex] will not be included for this inequality hence the line will be duchess with area below the line.

So in this case option d will be chosen as correct option

hence " none of these" will be the answer  

Similarly now considering case 2 as  represented by equation (2)

The y values are always more than the expression for the line 2x+3 hence

points on the line [tex]\rm y = 2x +3[/tex] will not be included for this inequality hence the line will be duchess with area above the line.

So in this case option b will be correct.

Note :

The lines will be solid when  the inequalities in equation (1) and (2) also include equal to sign.

That is for lines to be solid

the inequalities will be of type

[tex]\rm y \leq 2x+3 \\y \geq 2x +3[/tex]

For more information please refer to the link below

https://brainly.com/question/11897796

Answer:

17, 56, 41,

Step-by-step explanation:

"third side is 24 more than shortest side"

Let a be the shortest side.

c = a+24

"perimeter is 114"

a+b+c = 114

a+b+(a+24) = 114

2a + b = 90

"one side is 5 more than 3 times the shortest side"

That side must be b; c is an extraneous solution.

b = 3a+5

2a+(3a+5) = 90

a = 17

b = 56

c = 41

(a,b,c) = (17,56,41)

Answer:

This spyware is detected 66% of the time.

Step-by-step explanation:

We have these following percentages:

70% of the time, the spyware arrives via the internet, and in this case, is detected 60% of the time.

30% of the time, the spyware arrives via e-mail, and in this case, is detected 80% of the time.

What percentage of times is this spyware detected

Sum of 60% of 70%(arrived via spyware, detecte) and 80% of 30%(arrive via e-mail, detected). So

[tex]0.6*0.7 + 0.8*0.3 = 0.42 + 0.24 = 0.66[/tex]

This spyware is detected 66% of the time.

Answer:

A. 92 cm

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

A, 92

Step-by-step explanation:

you can rewrite 16:9 as 16/9

16/9=x/52

x=92cm

Answer:there were 80 more tickets sold for balcony seats than for orchestra seats

Step-by-step explanation:

Step 1

Let number of tIcket for balcony be represented as x

and

Number of tickets for orchestra seat be represented as y such that the total number pf tickets sol;d would be

X+ Y = 300--- equation 1

And the cost for $4.00 for a balcony seat and $7.50 for an orchestra seat totalling ticket sales of $1,585 be represented as

4x + 7.50y = 1585----- equation 2

Step 2

X+ Y = 300--- equation 1

4x + 7.50y = 1585----- equation 2

Multiplying equation 1 by 4 and subtracting from equation2

4x + 7.50y = 1585

-4x+4y= 1200

3.50y =385

y =385/3.50

y=110

To find x, when y=110

X+ Y = 300--- equation 1

x+110=300

x= 300-110= 190 tickets

balcony seats  tickets = 190

orchestra seats tickets = 110

Therefore, there were 80 more tickets sold for balcony seats than for orchestra seats

Answer:

x=9

Step-by-step explanation:

13+14=3x

27=3x

27/3=x

9=x

Answer:

0.2 is the answer .

Hope it helps..

Answer:

245 1/3

Step-by-step explanation:

Step-by-step explanation:

[tex]i) \frac{ \sqrt{2} }{ \sqrt{3} } [/tex]

[tex] \frac{ \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{ 3} } [/tex]

[tex] \frac{ \sqrt{6} }{3} [/tex]

[tex]ii) \frac{5 \sqrt{2} }{2 \sqrt{3} } [/tex]

[tex] \frac{5\sqrt{2} }{ 2\sqrt{3} } [/tex]

[tex] \frac{5 \sqrt{2} }{2 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]

[tex] \frac{5 \sqrt{6} }{6} [/tex]

[tex] iii)\frac{15}{ \sqrt{5} } [/tex]

[tex] \frac{15}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } [/tex]

[tex] \frac{15 \sqrt{5} }{5} [/tex]

[tex]3 \sqrt{5} [/tex]

[tex] iv)\frac{ \sqrt{5} }{5 \sqrt{6} } [/tex]

[tex] \frac{ \sqrt{5} }{ 5\sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } [/tex]

[tex] \frac{ \sqrt{30} }{ 30} [/tex]

Answer:

the largest angle is opposite the largest side and the shortest angle is opposite the shortest side

Step-by-step explanation:

From the property of triangles, we know In a triangle, the largest angle is always opposite the largest side and the smallest angle is always opposite the smallest side.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Triangles' characteristic allows us to know The biggest angle in a triangle is always on the other side of the biggest side, and the smallest angle is always on the other side of the smallest side.

Here are some more properties for triangles,

If a² + b² < c² then it is an acute angle triangle.

If a² + b² = c² then it is a right-angle triangle.

If a² + b² ≥ c² then it is an obtuse angle triangle.

learn more about triangles here :

https://brainly.com/question/2773823

#SPJ2

Answer:

x = 8

Step-by-step explanation:

Let's solve your equation step-by-step.

−6+7x=50

Step 1: Simplify both sides of the equation.

7x−6=50

Step 2: Add 6 to both sides.

7x−6+6=50+6

7x=56

Step 3: Divide both sides by 7.

7x/7 = 56/7

x=8

have a wonderful day

Answer:

The capacity of a carton of ice cream is often measured in pints. A unit equal to 32 fluid ounces, or 4 cups. You often see quarts of milk being sold in the supermarket.

Answer:

Step-by-step explanation:

Pints measure the volume of a fluid. A pint = 16 fluid ounces, while a quart is 2 pints or 32 fluid ounces. Objects holding 16 to 32 fluid ounces are measured in pints.

Answer:

the 1/15 means the she gets 15.00 for working 1 hour. and the 0,0 means she gets 0 price because she worked 0 hours.

Answer:

m > 1

Step-by-step explanation:

Minus 6 from both side

m = 1

Answer:

m(17n - 5nx + 15x)

Step-by-step explanation:

17mn - 5mnx + 15mx

= m(17n - 5nx + 15x)

Answer:

It is not a polynomial. It is a trinomial. Polynomials have 4 or more terms

Answer:

it is a not polynomial.

Step-by-step explanation:

In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables,

Answer:

b is the variable in the expression b+12

Given:

The vertices of the triangle are (-10,-3), (1,4) and (-1,7).

To find:

The perimeter of the triangle.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let the vertices of the triangle are A(-10,-3), B(1,4) and C(-1,7).

Using distance formula, we get

[tex]AB=\sqrt{(1-(-10))^2+(4-(-3))^2}[/tex]

[tex]AB=\sqrt{(1+10)^2+(4+3)^2}[/tex]

[tex]AB=\sqrt{(11)^2+(7)^2}[/tex]

[tex]AB=\sqrt{121+49}[/tex]

[tex]AB=\sqrt{170}[/tex]

Similarly,

[tex]BC=\sqrt{\left(-1-1\right)^2+\left(7-4\right)^2}=\sqrt{13}[/tex]

[tex]AC=\sqrt{\left(-1-\left(-10\right)\right)^2+\left(7-\left(-3\right)\right)^2} =\sqrt{181}[/tex]

Now, the perimeter of the triangle is

[tex]Perimeter=AB+BC+AC[/tex]

[tex]Perimeter=\sqrt{170}+\sqrt{13}+\sqrt{181}[/tex]

[tex]Perimeter\approx 13.038+3.606+13.454[/tex]

[tex]Perimeter=30.098[/tex]

Therefore, the perimeter of the triangle is 30.098 units.

Answer: 10%

Step-by-step explanation:

divide 30.80 by 28 and when you get the answer multiply by 100.

After you get the answer to that subtract it by 100.

30.80/28=1.1

1.1 x 100= 110

110-100=10

hope this helps <3

Answer:

10%

Step-by-step explanation:

9 months late gang

Answer: 8x+2

explanation:

i just solved it

Answer:

8x - 15

Step-by-step explanation:

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

distribute ur numbers

2x * 4x = 8x

5 * -3 = -15

now ur left with 8x - 15 and that is ur answer

that doesnt make sense

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

Using the Poisson distribution, it is found that:

a) The variance is of 5 while the standard deviation is of 2.24. It means that over many hours, the number of bankruptcies should be within 2.24 of 5.

b) 0.265 = 26.5% probability that at most three businesses will file bankruptcy in any given hour.

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

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

The parameters are:

In this problem, the mean is of [tex]\mu = 5[/tex].

Item a:

The variance is of 5 while the standard deviation is of 2.24. It means that over many hours, the number of bankruptcies should be within 2.24 of 5.

Item b:

This probability is:

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

In which

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

[tex]P(X = 0) = \frac{e^{-5}(5)^{0}}{(0)!} = 0.0067[/tex]

[tex]P(X = 1) = \frac{e^{-5}(5)^{1}}{(1)!} = 0.0337[/tex]

[tex]P(X = 2) = \frac{e^{-5}(5)^{2}}{(2)!} = 0.0842[/tex]

[tex]P(X = 3) = \frac{e^{-5}(5)^{3}}{(3)!} = 0.1404[/tex]

Then:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0067 + 0.0337 + 0.0842 + 0.1404 = 0.265[/tex]

0.265 = 26.5% probability that at most three businesses will file bankruptcy in any given hour.

A similar problem is given at https://brainly.com/question/16912674

Answer:

600

Step-by-step explanation:

Answer:

4.3362962963

Step-by-step explanation:

A=1/2bh

29.7cm^2=1/2 13.5h

You're gonna multiply each side by 2 to cancel out the fraction equaling,

58.54= 13.5h

You're then gonna divide w=each side by 13.5 to get h left alone on one side and a number on the other equaling your answer. 4.3362962963. Round to whatever decimal place you need.

Answer:

you write the inequality in a hazy way, so i got to solve all the possibilities of it , choose the one u need.

Step-by-step explanation:

[tex]case \: 1 \\ 2x - 15 \leqslant 5 \\ 2x \leqslant 20 \\ x \leqslant 10 \\ case \: 2 \\ 2x - 15 < - 5 \\ 2x < 10 \\ x < 5 \\ [/tex]

[tex]case \: 3 \\ 2x - 5 < 5 \\ 2x < 10 \\ x < 5[/tex]