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The minimum number of sets of knives Indigo should buy is 9.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Here, Let the minimum number of sets be x.  

          restaurant needs at least 430 knives

         currently restaurant have 269 knives

         each set contains 18 knives.

According to question,

           18x + 269 ≥ 430

            18x ≥ 161

              x ≥ 161/18

              x ≥ 8.94

Thus, the minimum number of sets of knives Indigo should buy is 9.

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Expression represents the radius of the cylinder, 2x units.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

Given that:

Volume of cylinder =[tex]4\pi x^{3}[/tex]

we know that, Volume of cylinder = [tex]\pi r^{2} h[/tex]

[tex]4\pi x^{3}[/tex]= π * [tex]r^{2}[/tex] *h

[tex]4x^{3} = r^{2}*h[/tex]

[tex]4x^{3} = r^{2}*x[/tex]      [since, height=x]

[tex]4x^{2} = r^{2}[/tex]

r= 2x

Hence the radius of the cylinder is 2x units

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Answer: square root of 53

Step-by-step explanation:

did the math

Answer:

41 degrees

Step-by-step explanation:

All of the angles must add up to 360 degrees to form a circle. So we have 22 + b + 297 = 360. Solving for b, we get b = 41.

it took I'd :safalbista10 10

Answer:

Yes, they both have a volume of 339.12 inches cubed.

Step-by-step explanation:

To calculate the volume of an oblique cylinder is very simple, we must multiply π (Pi = ~ 3.14) by the radius to the power of two and then multiply by the height. In this case the height forms a 90 degree angle from the opposite base to the position of the base, but outside of it.

Volume = π × Radius² × Height

The formula for the volume of a regular cylinder or an oblique cylinder is the same, if we imagine a stack of poker chips (forming a cylinder), even when we tilt the chips to one side (forming an oblique cylinder) the volume remains the same.

Now using this information, we must find the volumes of both cylinders.

For the oblique cylinder:
Given

Using the formula,

The volume would be 339.29 m³

Now solving for the other cylinder:

V=πr²h=π·32·12≈339.29201

Rounded, the answer would be 33.29 m³

This therefore proves that they both have the same volume.

Answer:

The area of the pool is 176.71

Step-by-step explanation:

The formula for a triangle is Area= Pi r (radius) sq.

In this problem, you need to remember that radius is half the diameter.

STEP 1: Divide the diameter in half.

STEP 2: Multiply your answer by itself. (example: if your answer was 8, you would multiply by 8)

STEP 3: Multiply the answer by 3.14 (or Pi)

STEP 4: You just found the area of a circle, GREAT JOB!

diameter= 15 feet

the area of the circular swimming pool.

[tex]a = \frac{1}{4} \pi {d}^{2} [/tex]

[tex]a = \frac{1}{5} \times \pi \times {15}^{2} [/tex]

[tex]a = 176.71459 \: {ft}^{2} [/tex]

[tex]a = 176.71 \: {ft}^{2} [/tex]

therefore, the area of the circular swimming pool is 176.71 square feets.

Answer:

y=12.5x

Step-by-step explanation:

Answer:

5^2+7^2= 12^2 so your answer should be 12

The product of the perpendicular lines is a negative one. Then the value of p will be negative 3.75.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Given the points K(-2,5), L(1,3) and M(-5, 2p).

If KL is perpendicular to LM. Then we have

The slope of KL will be

KL = (1+2)/(3-5)

KL = -1.5

The slope of LM will be

LM = (1+6)/(3-2p)

LM = 7/(3-2p)

We know the product of the perpendicular lines is a negative one.

        KL x ML = -1

-1.5 x 7/(3-2p) = -1

              -10.5 = -3 + 2p

                 2p = -7.5

                   p = -3.75

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Answer:

Independent: Time

Dependent: Views

Step-by-step explanation:

Independent variables are the things that are purposefully altered.

Dependent variables are the things that change in response to the independent variables being changed.

As the hours increase, so do the views. The views will change as time goes by. A change in the number of views does not affect the time passed. Therefore, time is the independent variable and the number of views is the dependent variable.

Answer:To find out the Area of a scalene triangle whose three sides are given, first find out the half perimeter

s = (a+b+c)/2

where a, b, and c are the length of the three sides of a triangle

s = (35 + 45 + 50) / 2

  = 130 / 2

  = 65 cm

Area of scalene triangle is given by

A = sqrt (s (s - a) (s - b) (s - c))

   = sqrt (65 * (65 - 35) ( 65 - 45) (65 - 50))

   = sqrt (65 * 30 * 20 * 15)

   = sqrt (585000)

   = 764.853 sq cm

Step-by-step explanation:

Answer:

I'm assuming it's a triangle of some sort. I'll assume it's a right triangle. All the angles and sides are there. I would need 2 angles and 1 side or 2 sides and 1 angle to get a specific triangle.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Complete the square

[tex]f(x)=x^2-25x\\\\f(x)+(\frac{-25}{2})^2=x^2-25x+(\frac{-25}{2})^2\\\\f(x)+156.25=x^2-25x+156.25\\\\f(x)+156.25=(x-12.5)^2\\\\f(x)=(x-12.5)^2-156.25\\\\f(x)=(x-\frac{25}{2})^2-\frac{625}{156}[/tex]

Identify vertex

[tex](h,k)\rightarrow(-\frac{25}{2},-\frac{625}{156})[/tex]

help is on the way! :D

Im sorry if im wrong but i could do 17.82x10= 178.20

To solve this question, we need to write out an equation for this and proceed to solve the system of equation. the number of 50 cents coins are 60.

The given data in this problem are

The system of equations can be written as

[tex]x + y= 100...eq(i)\\0.5x + 0.1y = $34..eq(ii)[/tex]

Let's start with equation (i)

[tex]x + y = 100\\\\y = 100 - x[/tex]

Substitute equation (iii) into equation (ii)

[tex]0.5x + 0.1(100 - x) = 34\\0.5x + 10 - 0.1x = 34\\0.4x = 24\\x = 60[/tex]

From the calculations above, the number of 50 cents coins are 60.

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Answer:

The value of x = 7

Step-by-step explanation:

x²-14x + 49

=> x² - 7x - 7x + 49

=> x ( x - 7) - 7 ( x - 7 )

=> (x - 7) (x - 7)

=> x = 7

Answer:

Hence option C is correct...hope this helps you:)

Answer:

29 degrees

Step-by-step explanation:

The interior angles of all triangles equals 180. We know already that we have 101 and 50 degrees. If we add that, we get 151. To find x, we have to simply subtract 151 from 180. If we do this, we get 29. x=29.

Hope this helps!

The ratio of x and y will be equal to x:y  = 25:16

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

We know that

The length of Q is 25% more than the length of p

length Q=1.25 x 80--------> 100 cm

The area of Q is 20% less than the area of p

Area Q=100 x y

Area P=80 x x

100 x y=0.80 x [80 x  x]---------> 100 x y = 64 x  x-------> x/y=100/64-->  25/16

Therefore the ratio of x and y will be equal to x:y  = 25:16

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Answer:

25:16

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

2/3 additive inverse is 2/3

-2/3+2/3 is neutral = zero

-2/3+2/3 = 0

Answer:

IQR for males: 3

IQR for females: 2

Q1 for males: 5

Q1 for females: 6

the number of females who spend over 6 hours exercising is greater(?) than the number of males who spent 6 hours exercising

Step-by-step explanation:

An equal amount of men and women were randomly selected and asked how many hours per week they spend excercising

to find IQR you have to identify your median(middle value) of the lower and upper half of the data. These are called quartile 1(Q1) and quartile 3(Q3). You subtract these two (Q3 and Q1) and the IQR is the difference.

Males box plot:

Minimum: 1

Maximum: 10

Q1: 5

Q2: 7

Q3: 8

Subtract Q3 and Q1

8 - 5 = 3

This is the IQR

Females box plot:

Minimum: 4

Maximum: 10

Q1: 6

Q2: 7

Q3: 8

Subtract Q3 and Q1

8 - 6 = 2

IQR =2

the number of females who spend over 6 hours exercising is greater than the number of males who spent 6 hours exercising

Answer: 7.81

Step-by-step explanation:

Answer:

C- 17 cm

A- 9cm

Step-by-step explanation:

C - because plus 9 and 8 is 17 cm

A - because plus 4 and 5 is 9 cm

Answer:

4

Step-by-step explanation:

2+2=4

Answer:

16.31 kg.

Step-by-step explanation:

2.33 * 7

The total tons of trash that was thrown away by the people is 3.9 tons.

The first step is to convert pounds to tons

1 pound  = 0.0005 tons

40 x 0.0005 = 0.02 tons

The second step is to multiply 0.02 by 195

0.02 x 195 = 3.9 tons

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Answer:

102

Step-by-step explanation:

78 and x are adjacent angles.

Sum of adjacent angles is 180 in a parallelogram.

78 + x = 180

x = 180 - 78

x = 102

Answer:

102°

Step-by-step explanation:

78+x= 180( adjacent angles in a parallelogram)

x=180-78=102°