3.a. Use the distributive property to rewrite the equation.
Enter the new equation as your answer.
3(2x - 1) + 4 = 7
Enter your answer
4.b. Combine any like terms to rewrite the equation that you entered as an answer in part a.
Enter the new equation as your answer.
Enter your answer
5.c. Use addition or subtraction to rewrite the equation that you entered as an answer in part b.
Enter the new equation as your answer.
Enter your answer
6.d. Use multiplication or division to rewrite the equation that you entered as an answer in part c.
Enter the new equation as your answer.

Answer:

Five billion, six-hundred and eight million, nine-hundred and twelve thousand, and thirteen.

Hope this helps!

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.

children

25.5 %

so 25.5% of 100

495

Answer:

the answer is A.

Step-by-step explanation:

Half of 30 is 15. You can obtain this by dividing it by 2 or multiplying it by 1/2.

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:

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.

Step-by-step explanation:

To find the radius of the sphere we must convert the inches to centimeters

Using the conversation

1 inch = 2.54 cm

If 1 inch = 2.54 cm

4.17 inch = 2.54 × 4.17 = 10.59 cm

We can find the radius using the formula

[tex]radius = \frac{diameter}{2} [/tex]

From the question

diameter = 10.59 cm

So we have

[tex]radius = \frac{10.59}{2} [/tex]

Surface area of a sphere= 4πr²

where

r is the radius

Surface area = 4(5.30)²π

= 112.36π

= 352.989

We have the answer as

Volume of a sphere is given by

[tex] \frac{4}{3} \pi {r}^{3} [/tex]

r = 5.30

The volume of the sphere is

[tex] \frac{4}{3} ( {5.30})^{3} \pi[/tex]

= 623.61451

We have the answer as

Hope this helps you

Answer: C) Qualitative

The response isn't a numeric value, but rather a name instead. So that's why we have qualitative data here. Specifically, it is nomimal as it deals with names or labels. The data is not ordinal as we cannot sort the labels.

Answer:

Step-by-step explanation:

y + 3 = 7(x - 1)

y + 3 = 7x - 7

y = 7x - 10

Your answer is 6% of x.

We can write the given information as equations to find the answer:

Another way to write "20% of x" is to write 0.2x, so therefore 0.2x = y

You can also write "30% of y" as 0.3y, so 0.3y = z

Now we can substitute in the first equation to the second equation, as we know what y equals in terms of x:

0.3(0.2x) = z

Multiplying out we get:

0.06x = z, and 0.06 as a percentage is 6%

I hope this helps!

Answer:

2c + 2 = 16

Hope this helps :)

Answer:

figure is not available...

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:

A=200 in

Step-by-step explanation:

[tex]A=\frac{1}{2} (bh)\\A=\frac{1}{2} (16*25)\\ A=\frac{1}{2} (400)\\ A= 200 in[/tex]

Answer:

Congruence is a relationship of shapes and sizes, such as segments, triangles, geometrical figures, while equality is a relationship of sizes, such as lengths, widths, heights.

Congruence deals with objects while equality deals with numbers. You wont say that two shapes are equal or two numbers are congruent.

Step-by-step explanation:

Answer:

90.5

Step-by-step explanation:

T(57)=.18(57)+80.25

T(57)=10.26+80.25

T(57)=90.51   (round to the one descimal place)

your answer would be

T(57)=90.5

The temperature T(57) is 90.5 and it states that the temperature for 57 days from April 1 2015 is 90.5.

Given,

The function T ( x ) = .18 x + 80.25 gives an estimate of the daily high temperature during this period where x is the number of days after April 1, 2015.

We need to evaluate T ( 57 ) (rounded to one decimal place) and then state its physical interpretation.

A function has an input and an output.

Example:

f(x) = x + 5

x = 1

f(1) = 1 + 5 = 6

1 = input

6 = output

Find T(x) at t = 57.

We have,

T(x) = 0.18 x + 80.25

T(57) = 0.18 x 57 + 80.25

T(57) = 10.26 + 80.25

T(57) = 90.51

Rounding to one decimal place.

90.51 = 90.5

T(57) = 90.5

T(57) = 90.5 means that the temperature for 57 days from April 1 2015 is 90.5

Thus the temperature T(57) is 90.5 and it states that the temperature for 57 days from April 1 2015 is 90.5.

Learn more about finding temperature differences at different points of time here:

https://brainly.com/question/17864807?referrer=searchResults

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Answer:

Hey!

NO IT IS NOT A STATISTICAL QUESTION!

Step-by-step explanation:

This is because you are including ONLY YOU...this wont work as statistics take data from a COLLECTION of people or things!

So a better question will be :

HOW OLD ARE THE PEOPLE IN MY NEIGHBORHOOD?

(averages)

HOPE THIS HELPS!!

Answer:

4 : 9

Step-by-step explanation:

Step 1: Find total amount of shapes

16 circles + 20 squares = 36 total shapes

Step 2: Write out ratio of circles to total shapes

16 : 36

Step 3: Simplify by dividing both numbers by 4

16/4 : 36/4

4 : 9

Answer:

1) 78

2) 28

3) 74

4) 28

5) 74

6) 106

7) 74

8) 74

9) 78

10) 78

Multiply from right to left:

Step 1: multiply 6*7 and get 42. Carry the 4 left.

Step 2; multiply 7*7 to get 49. Add the 4 and get 53. Carry the 5 left.

Step 3: multiple 4*7 to get 28. Add 5 and get 33.

Step 4: move the decimal point 2 times to the left.

4.76

*7

_______

33.32

Answer:

where is the figure or picture

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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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:

14 months

Step-by-step explanation:

Given

Gator's = $105 monthly charges

Tidal Wave = $375 registration fee + $80 monthly charged

Required

Determine for how many months Gators is cheaper

Let the number of months be x;

Represent the given data, algebraically.

For Gators: 105x

For Tidal Wave: 375 + 80x

Represent the above as a n inequality

Since Gators has to be cheaper; we have

[tex]105x < 375 + 80x[/tex]

Collect Like Terms

[tex]105x - 80x < 375[/tex]

[tex]25x < 375[/tex]

Divide both sides by 25

[tex]x < 15[/tex]

This implies that Gator's will be cheaper for months less than 15

Hence, the number of months is 14

Answer:

x = 2

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

& is the order of operation.

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

First, add 3x and  subtract 4 from both sides:

-x (+3x) + 4 (-4) = -3x (+3x) + 8 (-4)

-x + 3x = 8 - 4

Simplify. Combine like terms:

3x - x = 8 - 4

2x = 4

Isolate the variable, x. Divide 2 from both sides:

(2x)/2 = (4)/2

x = 4/2

x = 2

x = 2 is your answer.

~

Step-by-step explanation:

this is answer

[tex] - x + 3x = - 4 + 8 \\ 2x = 4 \\ x = \frac{4}{2} \\ x = 2x = 2x = 2[/tex]

Answer:

y=-1x+3

I honestly have no idea how I would explain this. Apologies.

Answer:

[see below]

Step-by-step explanation:

Finding Slope:

m = [tex]\frac{rise}{run}=\frac{0-2}{3-1}=\frac{-2}{2}=-1[/tex]

Using the slope and a point to make a point slope equation:

[tex]y-y_1=m(x-x_1)[/tex]

m = -1  (x,y) = (1,2)

Plug values:

[tex]y-2=-1(x-1)[/tex]

Convert the equation into slope-intercept:

[tex]y-2=-1(x-1)\\\\y-2=-1x+1\\\\y-2+2=-1x+1+2\\\\y=-1x+3\\\\\boxed{y=-x+3}[/tex]

Hope this helps.

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:

length = 19 units

Step-by-step explanation:

width = x

length = 2x-3

width = 11 units

length = 2(11)-3

length = 22-3

length = 19 units

perimeter = 11 + 11 + 19 + 19 = 60 units

The perimeter of a shape is the sum of the side lengths of the shape. The length of the rectangle is 19 units.

Given that:

[tex]Perimeter = 60[/tex]

[tex]Length = 2 \times Width -3[/tex]

The perimeter of a rectangle is:

[tex]Perimeter = 2 \times (Length + Width)[/tex]

So, we have:

[tex]60= 2 \times (2\times Width - 3+ Width)[/tex]

Divide both sides by 2

[tex]30= 2\times Width - 3+ Width[/tex]

Collect like terms

[tex]3 + 30= 2\times Width + Width[/tex]

[tex]33= 3Width[/tex]

Divide both sides by 3

[tex]11= Width[/tex]

Rewrite as:

[tex]Width = 11[/tex]

Recall that: [tex]Length = 2 \times Width -3[/tex]

[tex]Length = 2 \times 11 - 3[/tex]

[tex]Length = 22- 3[/tex]

[tex]Length = 19[/tex]

Hence, the length of the rectangle is 19 units.

Read more about perimeters at:

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