4(7-13)divided by 3 + (-4) times 2 - (6-2)

Answer:

z = -5

y = 1

x = 4

Step-by-step explanation:

2z = -10 ➡ z = -5

4y -(-5) = 9 ➡ 4y = 4 and y = 1

2x + 3 + (-5) = 6 ➡ 2x = 8 and x = 4

Answer: 3 toppings

Step-by-step explanation:

Let x=the number of toppings

12+2.5x=19.5

     2.5x=7.5

           x=3

Hope this helps!! :)

Please let me know if you have any question

Answer:

10

Step-by-step explanation:

Given that:

There are a total of 5 members on a student council.

2 of these members will serve in Spring Formal Committee.

To find:

How many possible spring formal committees can be there ?

Solution:

If the observe this problem closely, we are actually asked nothing but the number of ways to select 2 members out of 5.

This is a simple selection problem in which we have to find the number of ways to select [tex]r[/tex] objects out of [tex]n[/tex].

The number of ways = [tex]_nC_r =\frac {n!}{r!(n-r)!}[/tex]

Here,

[tex]n = 5\\r=2[/tex]

Hence, the required number of ways are:

[tex]_5C_2 =\frac {5!}{2!(5-2)!}\\\Rightarrow \dfrac {5!}{2!3!} = \dfrac {5\times 4\times 3!}{2!3!}\\\Rightarrow \dfrac {5\times 4}{2} = \dfrac{20}{2}\\\Rightarrow \bold{10}[/tex]

So, the number of possible spring formal committees are 10.

Answer:

[tex]x<1[/tex]

Step-by-step explanation:

So we have the inequality:

[tex]1+7x+5x<13[/tex]

First, combine like terms:

[tex]1+12x<13[/tex]

Subtract 1 from both sides:

[tex]12x<12[/tex]

Divide both sides by 12:

[tex]x<1[/tex]

And that's our answer :)

Answer:

Step-by-step explanation:

12x + 1 < 13

12x < 12

x < 1

Answer:

The graph is continuous.

Step-by-step explanation:

A continuous graph is depicted with straight smooth lines and not plot points as in a scatter graph.  On the other hand, discrete graphs represent values at specific points along the number line. The most common discrete graphs are those that represent sequences and series. Since, these discrete graphs do not possess a smooth continuous line, they rather have plot points above consecutive integer values, unlike some continuous line graphs.

Answer:

The answer is 615 inches

Step-by-step explanation:

The formula for solving the area of a circle is :

A= 1/4 π d^2

So since we only know the diameter the formula would be:

A= 1/4 of 3.14 x 28^2

Hope this helped :)

Answer:

GE = 11 cm.

Step-by-step explanation:

The figure provided is attached below.

The information given is:

CD = 11.5

DE = 5.3

BC = 8

AH = 11

Perimeter = 73.8

BC = FG = EF

HA = GH

AB = GE

The perimeter of any figure is the sum of all its sides.

The perimeter of the figure provided is:

Perimeter = AB + BC + CD + DE + EF + FG + GH + HA

Perimeter = AB + BC + CD + DE + BC + BC + HA + HA

         [tex]73.8=AB+8+11.5+5.3+8+8+11+11[/tex]

         [tex]73.8=AB+62.8[/tex]

         [tex]AB=11[/tex]

The value of side AB is 11 cm.

Then the value of GE is also 11 cm.

Prime factorization of 100 is 2 * 2 * 5 * 5

100 as a product of prime factors will be 2 ×2×5×5 .

Given,

Number = 100

Now,

To write 100 as prime factor product ,

Take LCM of 100

LCM 100 = 2 ×2×5×5

Thus the factors obtained in the LCM is prime factors only .

So we can write 100 as the product of prime factors:

100 = 2 ×2×5×5

Know more about prime factors,

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6x-6

Step-by-step explanation:

add both equations together, then multiply that by 2

2*(2x+3+x-6)

Answer:

6x and -6

Step-by-step explanation:

2x+3 * 2 4x+6

x-6 * 2 = 2x-12

4x+6 + 2x-12 = 6x and -6 inches

Answer:

[tex]=\left(\frac{15}{2},\:\frac{5}{2}\right)[/tex]

Step-by-step explanation:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(6,\:4\right),\:\left(x_2,\:y_2\right)=\left(9,\:1\right)\\\\=\left(\frac{9+6}{2},\:\frac{1+4}{2}\right)\\\\=(\frac{15}{2} , \frac{5}{2} )\\\\[/tex]

Answer:

a. (0,0), (2,0), (4,0)

b. (0,0)

Step-by-step explanation:

To find the x-intercept points, you set the equation equal to 0.

0=x³-6x²+8x                                [factor out an x]

0=x(x²-6x+8)                                [factor (x²-6x+8)]

0=x(x-2)(x-4)                               [set each factor equal to 0]

x=0

x-2=0                                           [add both sides by 2]

x=2

x-4=0                                            [add both sides by 4]

x=4

Now, we know our x-intercept points: (0,0), (2,0), (4,0).

To find the y-intercept points, we know that it is located on the y-axis, meaning x=0. We plug in 0 for x, and we will know our y-intercept point.

y=(0)³-6(0)²+8(0)                         [multiply]

y=0

The y-intercept point is (0,0).

Answer:

domain (-inf, +inf)

range [-30, +inf)

y-int = -30

x-int = -10, 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the formula for calculating the standard error of the mean to get the standard deviation. The standard error of the mean is expressed as;

SE = S/√n where;

S is the standard deviation

n is the sample size

Given SE = 25 months and n = 1, on substituting this parameters into the formula, we will have;

25 = S/√1

25 = S/1

cross multiply

S = 25*1

S = 25 months

Hence the standard deviation based on the sample is 25 months

Answer:

x=23, y=14

Step-by-step explanation:

The triangles are indeed simular

Answer: 24%

Step-by-step explanation:

There are a total of  2610 graduates and if that is the divided by the total which is  10730   you will get 0.2432   which is about 24%

Answer:

24%

Step-by-step explanation:

I checked it on the test to make sure, I have acellus too.

Answer:

Option B is correct - The distribution has a region between two data values where no data were observed.

Step-by-step explanation:

To answer this question, i would use a sample histogram to explain the gaps in a histogram.

For example, a histogram has been attached.

The histogram has been plot to show the average height of children of different ages in a particular year.

From the attached image, we can see that all the bars represent average height of different ages.

Now, if one of the bars was to be empty which in this case means that the value there is zero and there is a gap. Since the bar is to represent average height of a particular age, it means that there was no data collected for that age as height cannot be zero!

This same reason applies generally to gaps in histogram which means that no data was collected for that particular bar region.

Thus, Option B is correct - The distribution has a region between two data values where no data were observed.

Answer:

  y = 3x -7

Step-by-step explanation:

The 2-point form of the equation of a line is useful for this.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-1 -(-4))/(2 -1)(x -1) -4

  y = 3(x -1) -4

  y = 3x -7

Answer:

75%

Step-by-step explanation:

Answer:

6/8

Step-by-step explanation:

An easy way to do this is to draw a giant rectangle. when you do you simply want to stay a line going straight across in the middle. draw 3/4 ontop and 6/8 on the bottom. or another fraction that's close to it. then shade in 3/4 and the same with 6/8. if the shading is the same length, that's how you know it's equivalent

Answer:

  x ≠ 5

Step-by-step explanation:

For the two points to represent a function, the value of x cannot be repeated. The only restriction on the values of x and y is that x is not 5. (x can be anything but 5.)

Answer:

The value of x can be

✔ any real number except 5

.

The value of y can be

✔ any real number

Step-by-step explanation:

i got it correct on edguinty

Answer:

B) 14

Step-by-step explanation:

We can plug in the values of m and p into the equation:

1/2 m + 3p = 1/2 (16) + 3 (2) = 8 + 6 = 14.

Answer:

17. (1.5,9);

18.(-0.3,3.25)

19.(1.06,3.41)

The required midpoints are  Mx(1/2, 9), My (-0.3, 3.25), and  Mz(1 1/5, 3 1/4).

The midpoint is that point the line whose distance from both the ends of the line is equal.

Here,

The midpoint between two coordinates (x, y) and (a, b) can be given as M(s, t)
s = x +a /2 ; t = y + b / 2

MIdpoints
For P(3, 5), Q(-2, 13)
s = 3 - 2 / 2 ; t = 5 + 13 /2
s = 1 / 2 ; t = 9
Midpoint  Mx(1/2, 9)

For  P(-2, 2.5), Q(1.4, 4)
s = -2 + 1.4 / 2 ; t = 2.5 + 4 / 2
s = -0.3 ; t = 3.25

Midpoint My (-0.3, 3.25)

For P(4 1/3, 3 1/6), Q (-2 1/5, 3 2/3)

s = (4 1 / 3  - 2 1/5 ) / 2  ; t = (3 1/6 + 3 2/3) / 2
s = 1 1/15        : t = 3 1/4
Midpoints Mz(1 1/5, 3 1/4)

Thus, the required midpoints are  Mx(1/2, 9), My (-0.3, 3.25) and  Mz(1 1/5, 3 1/4).

Learn more about midpoints here:
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Answer:

$288

Step-by-step explanation:

Answer:

The square root of a prime number is always an irrational number, then the product of the square root of a prime number and a nonzero rational number is equivalent to:

"the product of an irrational number and a rational number different than zero...."

We know that the product of an irrational number and a rational number (different than zero) is ALWAYS an irrational number.

Then "When is the product of the square root of a prime number and a nonzero rational number a rational number?"

Never, the product will always be irrational.

Answer:

where is the figure or picture

Answer:

A) 22812 hotdogs per run

B) 75 runs/yr

C) 4 days in a run

Step-by-step explanation:

We are given;

Production rate;p = 5750 per day

Steady Usage rate;u = 270 per day

Setup cost of hotdog;S = $67

Annual carrying cost (H) = 47 cents = $0.47 per hot dog

No. of Production days; d = 297 days

A) Let's first find the annual demand given by the formula;

Annual demand;D = pd

D = 5750 × 297

D = 1707750 hot dogs/yr

Now, formula for optimal run size is given by;

Q_o = √[(2DS/H) × (p/(p - u))]

Plugging in the relevant values gives;

Q_o = √[(2 × 1707750 × 67/0.47) × (5750/(5650 - 270))]

Q_o =√520375454.7971209

Q_o = 22812 hotdogs per run

B) formula for Number of runs per year is given as;

No. of Runs = D/Q₀

Thus;

no. of runs = 1707750/22812

no. of runs ≈ 75 runs/yr

C) Length of a run is given by the formula;

Length = Q₀/p

Length = 22812/5750

Length ≈ 4 days in a run

Answer:

[tex]f(x,y) = \log_{4} (x-5-\sqrt{25-6\cdot y})+\log_{4} (x-5+\sqrt{25-6\cdot y})[/tex]

Step-by-step explanation:

Let be [tex]f(x,y) = \log_{4}(2\cdot x^{2}-20\cdot x +12\cdot y)[/tex], this expression is simplified by algebraic and trascendental means. As first step, the second order polynomial is simplified. Its roots are determined by the Quadratic Formula, that is to say:

[tex]r_{1,2} = \frac{20\pm \sqrt{(-20)^{2}-4\cdot (2)\cdot (12\cdot y)}}{2\cdot (2)}[/tex]

[tex]r_{1,2} = 5\pm \sqrt{25-6\cdot y}[/tex]

The polynomial in factorized form is:

[tex](x-5-\sqrt{25-6\cdot y})\cdot (x-5+\sqrt{25-6\cdot y})[/tex]

The function can be rewritten and simplified as follows:

[tex]f(x,y) = \log_{4} [(x-5-\sqrt{25-6\cdot y})\cdot (x-5+\sqrt{25-6\cdot y})][/tex]

[tex]f(x,y) = \log_{4} (x-5-\sqrt{25-6\cdot y})+\log_{4} (x-5+\sqrt{25-6\cdot y})[/tex]

Answer:

($3.75)n ≤ $20

Step-by-step explanation:

Represent this number by n.  Then the total purchase price can be represented by ($3.75)n ≤ $20, which is appropriate because Cooper can't spend more than $20.

The desired inequality is ($3.75)n ≤ $20.  If a solution is desired, divide both sides by $3/75):

        $20

n ≤ ______ = 5 1/3.

      $3.75

Cooper can purchase up to 5 whole packs of paper and have a bit of money left over.

Answer:

11.4

Step-by-step explanation:

You find the square root