The grocery store is
selling 3 boxes of mac
and cheese for $3.65.
How much would 8
boxes cost? What
about 15 boxes?

Answer:

≈5089.3801 (5089.4)

Step-by-step explanation:

the formula is πr^2 x h

so, V=πr2h=π·92·20≈5089.3801

Answer:

Step-by-step explanation:

6089.9

Answer:

Angle 8 forms a pair of alternate exterior angles with angle 1.

Formula for circumference is C= πd, meaning pi multiplied by diameter. I will complete the question using both 3.14 for pi, and the pi key on the calculator, as I am not sure what the rules are for your mathematics class.

Formula C=πd, where diameter (given: 56) is 56 and pi is 3.14.

C=πd

  = 3.14 x 56

  =175.84

∴ The circumference of the wheel is about 175.8cm.

To find how much distance covered in 100 revolutions, we must multiply the distance covered in one revolution by 100.

175.84 x 100= 17584

The question does not ask to convert to meters or kilometers so I may leave it like this.

If you are told otherwise, follow the rules for converting.

∴ The distance covered in 100 revolutions is 17,584cm.

Formula C=πd where d equals 56 and pi is the full value of pi (3.1415926....)

C=πd

 = π x 56

 =175.929

As you can see, we get a more accurate answer, but again, it is all up to your class rules.

∴ About 175.93 cm circumference

Revolutions:

175.93 x 100 = 17593

∴ About 17, 593cm.

I hope this helps!

Answer:

the answer is 3 and 9

Step-by-step explanation:

(x for 3 and y for 9)

3 + 9 = 12 and 3×9= 27

Answer:

x=22

Step-by-step explanation:

Answer:

lateral area is  329.7 and the surface area is 483.56

Step-by-step explanation:

Lateral area = [tex]\pi (7)(15) = 105\pi = 329.7\\[/tex]

Surface area = lateral area + base area

Base area= [tex]\pi r^{2}[/tex] = [tex]\pi (7)^{2}[/tex] = [tex]49\pi[/tex]

Surface area = 105[tex]\pi + 49\pi = 154\pi = 483.56[/tex]

The lowest point in a business cycle, which follows a period of economic

decline, is called a trough. Therefore, option A is the correct answer.

A prolonged period of weak or negative real GDP (output) growth that is accompanied by a noticeably higher unemployment rate is known as a recession. During a recession, a lot of other economic activity indices are similarly weak.

Trough: This refers to the stage of the business cycle when economic activity is at its lowest point.

Expansion: It denotes the period following a dip when overall demand rises. It leads to a rise in output and a decrease in unemployment.

In the business cycle, expansions and contractions alternate (also called recessions).

Recessions frequently begin at the business cycle's high, when an expansion comes to an end, and finish at its trough, when the following expansion starts.

Therefore, option A is the correct answer.

Learn more about a period of economic decline here:

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9514 1404 393

Answer:

  x = 15√3

  y = 30

Step-by-step explanation:

In a 30°-60°-90° "special" triangle, the ratios of side lengths are ...

  1 : √3 : 2

Your diagram shows the short side is 15, so the other sides can be found by multiplying the above ratio numbers by 15.

  1 : √3 : 2 = 15 : x : y = 15 : 15√3 : 30

  x = 15√3

  y = 30

Answer: 158 as area and perimeter 62

Step-by-step explanation:

Answer:

-9.6-7.3 = -16.9

Step-by-step explanation:

Answer:

the answer is the a affects the width

Step-by-step explanation:

the answer is a not the choice A, the third one

(i hope this help)

Answer:

[tex] { (x - 8)}^{2} + {(y + 3)}^{2} = 36[/tex]

Answer:

35 hours/week

Step-by-step explanation:

306.25/8.75 = 35

Answer:

your answer is 62°

I hope it's helps you

Answer:

[tex]P(x \le 3) = 0.2352[/tex]

Step-by-step explanation:

Given

[tex]p = 0.35[/tex] --- male committing a crime in an episode

[tex]n = 5[/tex] -- Number of episodes

Required

Determine the probability of male committing a crime at least 3 times

This question illustrates binomial distribution and will be solved using;

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x[/tex]

So, the required probability is represented as:

[tex]P(x \ge 3)[/tex]

And will be calculated using:

[tex]P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)[/tex]

[tex]P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^{5-3}[/tex]

[tex]P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^2[/tex]

[tex]P(x = 3) = 10 * (0.35)^3 * (0.65)^2[/tex]

[tex]P(x = 3) = 0.1811[/tex]

[tex]P(x = 4) = ^5C_4 * (0.35)^4 * (1 - 0.35)^{5-4}[/tex]

[tex]P(x = 4) = 5 * (0.35)^4 * (1 - 0.35)^1[/tex]

[tex]P(x = 4) = 5 * (0.35)^4 * (0.65)[/tex]

[tex]P(x = 4) = 0.0488[/tex]

[tex]P(x = 5) = ^5C_5 * (0.35)^5 * (1 - 0.35)^{5-5}[/tex]

[tex]P(x = 5) = 1 * (0.35)^5 * (1 - 0.35)^0[/tex]

[tex]P(x = 5) = 1 * (0.35)^5 * (0.65)^0[/tex]

[tex]P(x = 5) = 1 * (0.35)^5 * 1[/tex]

[tex]P(x = 5) = 0.0053[/tex]

So:

[tex]P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)[/tex]

[tex]P(x \le 3) = 0.1811 + 0.0488 + 0.0053[/tex]

[tex]P(x \le 3) = 0.2352[/tex]

Answer:

5.4

sarah = 27

Hilary = 32.4

Step-by-step explanation:

25(.08)+25=27

30(.08)+30= 32.4

32.4-27=5.4

Answer:

1/9

Step-by-step explanation:

im smart

Answer:

A soccer field is 100 Yards.

Step-by-step explanation:

120-100=100yds.

Answer:

The square will have length 13 cm only and it's perimeter will be:

4l

4×13cm

52cm

I hope it helps you

Answer:

Radical.

Step-by-step explanation:

To explain;

3√13 is a radical.

The 3 in this expression is known as the index.

The 13 in this expression is known as the radicand.

The √ is considered the radical sign.

The given expression is the radical sign.

The given expression is [tex]3\sqrt{3}[/tex].

The √ symbol is used to denote square root or nth roots. Radical Expression - A radical expression is an expression containing a square root. Radicand - A number or expression inside the radical symbol.

Therefore, the given expression is the radical sign.

To learn more about the radicals visit:

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Answer: y = 1/2x + 5

Step-by-step explanation:

Answer:

X x 1/2 = Y

Step-by-step explanation:

Answer:

She should add 10x to both sides

Step-by-step explanation:

Answer:

Step-by-step explanation:

x² - 10x - 2 = 0   {Add 2 to both sides}

            +2 = +2

x² - 10x     = 2

Now to find what to add both sides, divide the co-efficient of x by 2

10/2 = 5

Add 5² to both sides

x² - 10x + 25 = 5²

(x - 5)² = 5²

Take square root both sides,

x - 5 = ± 5

x- 5 = 5   ;   x - 5 = -5

  x = 5+5 ;      x = -5 + 5

  x = 10    ;      x = 0

Answer:

Slope of line p = 3

Slope of line q = -3

Step-by-step explanation:

An easy way to find slope is to pick one point and move up the line to find the next point with exact coordinates.

For line p, we can use point (1,-1). Moving farther up the line, the next point that lands exactly on a coordinate, is (2,2) The slope of a line is the rise of a line over its run. Or, [tex]\frac{rise}{run}[/tex]. From the first point, we move up exactly 3 units, and over 1 unit to reach the next point. We rise 3 units and run 1 unit. In fraction form, [tex]\frac{3}{1}[/tex]. This simplifies to 3. The slope of line p is 3.

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

For line q, we can use the same method. Notice first that the line slopes down, which means the slope will be negative.

Now, we can pick a point on the line. Let's use the same one we used for line p, point (1,-1). The next point up the line is point (0,2). From point (1,-1), we rise 3 units, and run -1 unit. The run, we can tell, is negative, because it goes to the left. The slope is [tex]\frac{3}{-1}[/tex]. Simplify this to -3. The slope of line q is -3.

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I hope this helps ^^ Good luck :)

Answer:

2/10 or 1/5

Step-by-step explanation:

there are 10 equal 'slices'

then count those with a J

that would be 2

Answer:

#1

#2

#3

#4

#5

#6

#7

#8

#9