Oscar buys his lunch in the school cafeteria. The cost of 15 school lunches is $33.75.

Part 1: If you had to find a graph to represent this rate, would slope would you be looking for?


Part 2: Using the rate you determined, complete this ordered pair: (5, ________)

Answer:

It's the second one.

Step-by-step explanation:

It's the second one because the volume of the radius is v and 4/3 gives the radius and after that if you look at the second three then use a calculator to multiple the numbers up it tells you what the numbers are and the number give you r for the volume so it makes it the second one.

Step-by-step explanation:

Angles whose sum is 90° .

For ex - 30° and 60°

Answer/Step-by-step explanation:

Complementary angle is two angle that add up to 90 degree.

Complementary angle also put together form a right angle.

ex:

To determine the complement, subtract the given angle from 90. 90 - 43 = 47° The complement of 43° is 47°.

Answer:

y = 150x

Step-by-step explanation:

If y = savings and they save $150 each month then you can just multiply $150 by each month to get the total savings

A rectangular park is 190 m long and 160 m wide. A road 8 m wide has been constructed along the outer side of the boundary.

Area of rectangle = Length × Breadth Calculation: Length of outer rectangle = Length of rectangle + 2 × Width of road= 190 + 2 × 8= 206 m Breadth of outer rectangle = Breadth of rectangle + 2 × Width of road= 160 + 2 × 8= 176 m Area of outer rectangle = Length × Breadth= 206 × 176= 36256 m²Length of inner rectangle = Length of rectangle = 190 m Breadth of inner rectangle = Breadth of rectangle= 160 m Area of inner rectangle = Length × Breadth= 190 × 160= 30400 m²Area of road = Area of outer rectangle - Area of inner rectangle= 36256 - 30400= 5856 m²Therefore, the area of the road is 5856 m².

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Answer:

5 is the answer

xdxdddx thank you

Answer:

The answer is 5.

Step-by-step explanation:

Using pythagoras theorem:-

\(13^{2}\) = \(x^{2}\) + \(12^{2}\)

=> \(13^{2}\) - \(12^{2}\) = \(x^{2}\)

=> \(x^{2}\) = 25

=> \(x\) = \(\sqrt{25}\)

∴ \(x\) = 5

When the pile is 22 feet high, the height of the pile changes to 20/1089π.

Given (dV)/(dt) = 20, h = 22 feet , dh /dt =?

The volume of cone is V = 1/3 * pi * r ^ 2 * h

d=3h

2r = 3h

r = (3h)/2

V = 1/3 * pi * r ^ 2 * h

= 1/3 * pi * ((3h)/2) ^ 2 * h

= 1/3 * pi((9 * H ^ 2 )/4) * h

= (9pi)/12 * h ^ 3

Differentiate w.r.to t

(dV)/(dt) = (3pi)/4 * (3h * h^ 2) * (dh)/(dt)

(dV)/(dt) = (9pi)/4 * (h ^ 2) * (dh)/(dt)

(dV)/(dt)=20, h=22 feet

20 = (9pi)/4 * (22 ^ 2) * (dh)/(dt)

(dh)/(dt) = 80/ (9pi * (22^ 2))

h^ t = 20/ 1089 *pi   ft / min

Therefore, The height of the pile changing when the pile is 22 feet high is 20/1089π

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Answer:

x²+x-30

x=5

Step-by-step explanation:

The equation is

(x+3+x-1)/2 × x=30

x²+x-30 (it's the quadratic equation)

x²+6x-5x-30=0

x(x+6)-5(x+6)=0

(x+6)(x-5)=0

x=-6

x=5

It's impossible for Length to be negative

So x=5

The value of x in the trapezium is equal to 6

The area of a trapezium can be calculated using the lengths of two of its parallel sides and the distance (height) between them. The formula to calculate the area (A) of a trapezium using base and height is given as, A = ½ (a + b) h

Given here: The area of the trapezium as 30 cm² and the dimensions are

x-1 , x, x+3

Now the area of the trapezium is given by A=(a+b)×h/2

Thus we have 30=(x-1+x+3)x/2

                       60=2x²-2x

                x²-x-30=0

               x²-6x+5x-30=0

              x(x-6)+5(x-6)=0

               (x+5) (x-6)=0

                 x=-5,6

But length cannot be negative thus x=6 is the right answer.

Hence, The value of x in the trapezium is equal to 6

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Answer:

answer: 280

Hope that helps!

Answer:

100 miles is the answer

Step-by-step explanation:

3 inches = 20 miles

15/3 = 5

5 x 20

= 100 miles

========================================================

Work Shown:

(3 inches)/(20 miles) = (15 inches)/(x miles)

3/20 = 15/x

3*x = 20*15

3x = 300

x = 300/3

x = 100

Therefore, 15 inches on the map correspond to 100 miles in real life.

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

We could approach the problem like this:

3 inches = 20 miles

5*(3 inches) = 5*(20 miles)

15 inches = 100 miles

In the second step, I multiplied both sides by 5 to turn the "3 inches" into "15 inches".

A z-score is used to measure how many standard deviations an individual value is from the mean of a given set of data.

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To build a concrete block wall, Kamila needs to determine the number of blocks required. The wall dimensions are 12 feet long, 6 feet high, and 8 inches thick. The task is to calculate number of blocks needed for wall.

To calculate the number of blocks needed, we first convert the wall dimensions to inches. The wall is 12 feet long, which is equivalent to 144 inches, and 6 feet high, equivalent to 72 inches. The thickness of the wall is 8 inches.

Next, we calculate the volume of each concrete block. The block measures 16 inches in length, 8 inches in width, and 8 inches in depth, resulting in a volume of 1024 cubic inches.

To determine the number of blocks needed, we divide the total volume of the wall by the volume of each block. The total volume of the wall is obtained by multiplying the length, height, and thickness, which gives 82,944 cubic inches.

Finally, by dividing the total wall volume by the block volume, we find that Kamila will need approximately 81 blocks to build the wall.

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The required answer is Kamila will need 81 concrete blocks to build the wall. To calculate the number of blocks Kamila will need to build the wall, we need to find the volume of the wall and divide it by the volume of each concrete block.

First, let's convert the measurements to a consistent unit. Since the dimensions of the concrete block are given in inches, we'll convert the length and height of the wall from feet to inches:

Length of the wall = 12 feet = 12 * 12 = 144 inches

Height of the wall = 6 feet = 6 * 12 = 72 inches

Thickness of the wall = 8 inches

Next, we'll calculate the volume of the wall:

Volume of the wall = Length * Height * Thickness

= 144 inches * 72 inches * 8 inches

= 82944 cubic inches

Now, let's calculate the volume of each concrete block:

Volume of each block = Length * Width * Depth

= 16 inches * 8 inches * 8 inches

= 1024 cubic inches

Finally, we'll divide the volume of the wall by the volume of each block to find the number of blocks needed:

Number of blocks = Volume of the wall / Volume of each block

= 82944 cubic inches / 1024 cubic inches

≈ 81 blocks

Therefore, Kamila will need approximately 81 concrete blocks to build the wall.

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Answer:

60

Step-by-step explanation:

the 6 is in the tens place so it is worth 60

Hopes this helps please mark brainliest

Answer: 60

Step-by-step explanation: the value of 263.7  is; 60 pls mark brainly i really need it pls i neeed it its important to me bc i have a gammy who just passed away last week

Answer:

Ok!

Step-by-step explanation:

Answer:

Step-by-step explanation:

I honeslty don't know any of this but it is probably comparing parrallel lines.

The sum of the exterior angle of the pentagon is 360 degrees.

The polygon above is a pentagon. A pentagon is a polygon with 5 sides.

If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.

Therefore, the sum of the measure of the exterior angles of the pentagon as shown is 360 degrees.

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To solve the given system of equations using Gaussian elimination, let's write the augmented matrix:

|-8  2  -16 |

|-2 -2   -4 |

Perform row operations to simplify the matrix:

R2 = R2 - R1/4

|-8   2  -16 |

| 0  -3    0 |

R1 = R1 / -8

|  1  -1/4   2 |

|  0   -3    0 |

R2 = R2 / -3

|  1  -1/4   2 |

|  0    1    0 |

R1 = R1 + R2/4

|  1    0    2 |

|  0    1    0 |

The matrix is now in row-echelon form. The resulting system of equations is:

x = 2

y = 0

Therefore, the solution to the system of equations is x = 2, y = 0.

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The economic order quantity is approximately 355 units, which corresponds to option D) 355 units.

To find the economic order quantity (EOQ), we can use the following formula:

EOQ = sqrt((2 * Annual Demand * Fixed Ordering Cost) / Carrying Cost per Unit)

Given information:

Annual Demand = 3,000 units

Fixed Ordering Cost = $30

Carrying Cost per Unit = $1.43

Substituting the values into the formula:

EOQ = sqrt((2 * 3,000 * 30) / 1.43)

EOQ = sqrt(180,000 / 1.43)

EOQ = sqrt(125,874.125)

EOQ ≈ 354.91

Rounding the EOQ to the nearest whole number, we get:

EOQ ≈ 355 units

Therefore, the economic order quantity is approximately 355 units, which corresponds to option D) 355 units.

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Answer:

Perimeter = 54

Step-by-step explanation:

Since AC = RP, then the following also applies:

AB = RB

CB = PB

So, in order to determine this, you first need to find a common ratio in order to find the missing side of PB which you need for the perimeter.

To determine the ratio you do the following:

AB = 21 (14 + 7)

RB = 7

21: 7   = 3: 1

This means in finding a smaller side you can divide by the value 3 to find it.

It also means that side CP is 2/3 of the value of CB which means that we need 1/3 of the value left in order to determine PB:

CP = 10 = 2/3, which means 1/3 is 5, so

PB = 5

Therefore: CB = 15

Perimeter = CB + AC + AB

15 + 21 + 18 = 54

Answer:

what are the hypotheses?

Step-by-step explanation:

you said the hypotheses are as folows its not there

The quotients of the long division expressions are 6x^2 + 2x - 6, 7x^3 - 4x^2 + 6x + 10 and 7x^3 + x^2 - 5x - 8

Polynomial set up 2

The long division expression is represented as

x + 5 | 6x^3 + 32x^2 + 4x - 21

So, we have the following division process

           6x^2 + 2x - 6

x + 5 | 6x^3 + 32x^2 + 4x - 21

           6x^3 + 30x^2

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

                      2x^2 + 4x - 21

                       2x^2 + 10x

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

                       -6x - 21                      

                       -6x - 30

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

                                   9

Polynomial set up 3

The long division expression is represented as

2x - 3 | 14x^4 - 29x^3 + 24x^2 + 2x - 29

So, we have the following division process

            7x^3 - 4x^2 + 6x + 10

2x - 3 | 14x^4 - 29x^3 + 24x^2 + 2x - 29

            14x^4 - 21x^3

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

                       -8x^3 + 24x^2 + 2x - 29

                       -8x^3 + 12x^2                        

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

                        12x^2 + 2x - 29

                        12x^2 - 18x

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

                                  20x - 29

                                  20x - 30

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

                                               1

Polynomial set up 5

The long division expression is represented as

2x - 1 | 14x^4 - 5x^3 - 11x^2 - 11x + 8

So, we have the following division process

            7x^3 + x^2 - 5x - 8

2x - 1 | 14x^4 - 5x^3 - 11x^2 - 11x + 8

            14x^4 - 7x^3

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

                       2x^3 - 11x^2 - 11x + 8

                       2x^3 - x^2                        

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

                        -10x^2  - 11x + 8

                        -10x^2 + 5x

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

                                  -16x + 8

                                  -16x + 8

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

                                               0

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Answer:

\(g^{6}\)

Step-by-step explanation:

Using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\) , then

g³ × g³ = \(g^{(3+3)}\) = \(g^{6}\)

Step-by-step explanation:

% increase in the no of pupils = {(750-680)/680} × 100 = 10.3%

% increase in the no of teachers = {(38-37)/37} × 100 = 2.7%

Answer:

The coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are \(\mathbf{(13,\frac{-9}{2})}\)

Step-by-step explanation:

We need to find the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1)

The midpoint of line segment can be found using formula:

\(Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)

We have \(x_1=14, y_1=-8, x_2=12, y_2=-1\)

Putting values and finding midpoint

\(Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\Midpoint=(\frac{14+12}{2},\frac{-8-1}{2})\\Midpoint=(\frac{26}{2},\frac{-9}{2})\\Midpoint=(13,\frac{-9}{2})\)

So, the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are \(\mathbf{(13,\frac{-9}{2})}\)

The maximum height of the projectile is 56.53 meters.

The height of a projectile at time t is represented by the function h (t)= −4.9 t² +18t + 40, where h(t) is the height in meters and t is the time in seconds.

This is a quadratic function of the form h(t) = at² + bt + c, where a = -4.9, b = 18, and c = 40.

To find the maximum height of the projectile, we need to find the vertex of the parabolic graph of the function h(t).

The vertex of the parabola is at the point (t, h(t)) where t = -b/2a. Substituting the values of a and b, we get t = -18/(2(-4.9)) = 1.8367 seconds.

To find the maximum height, we need to substitute t = 1.8367 seconds into the function h(t). h(1.8367) = -4.9(1.8367)^2 + 18(1.8367) + 40 = 56.53 meters.

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Answer: -2x^2+16x-30

Step--by-step explanation:

Answer:.

Step-by-step explanation:

Therefore, The Outdoor Furniture Corporation should produce 120 benches and 175 picnic tables to obtain the largest possible profit of $4,015.

Explanation:The given problem can be expressed in the form of a mathematical equation as: Maximize P = 9x + 20ySubject to constraints

:4x + 6y <= 120010x + 35y <= 35004x + 10y <= 12003x + 5y <= 1200x >= 0, y >= 0

Where, x = Number of Benchesy = Number of Picnic TablesFirst, we need to plot all the constraints on a graph. The shaded region in the figure below represents the feasible region for the given problem. Feasible region\(P = 9x + 20y = Z\)The feasible region is bounded by the following points:

A (0, 60)B (120, 175)C (70, 80)D (300, 0)

We need to calculate the profit at each of these points. Profit at

A(0, 60) = 0 + 20(60) = $1200Profit at B(120, 175) = 9(120) + 20(175) = $4,015

Profit at C(70, 80) = 9(70) + 20(80) = $1,630Profit at D(300, 0) = 9(300) + 20(0) = $2,700

From the above calculations, we can see that the maximum profit of $4,015 is obtained at point B (120, 175). Hence, the number of benches and tables that Outdoor Furniture should produce to obtain the largest possible profit are 120 and 175, respectively.

Therefore, The Outdoor Furniture Corporation should produce 120 benches and 175 picnic tables to obtain the largest possible profit of $4,015.

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Answer:

1) 117

2) 24

Step-by-step explanation:

Corresponding sides are in the same ratio for similar triangles

1)

For triangles MUL and WUV:

UW/UM = UV/UL

?/45 = 104/40

? = 45 x 104/40 = 117

2)
For triangles RST and RKH
RS/RK = RT/RJ

?/12 = 20/10 = 2

? = 2 x 12 = 24

Answer:

pic1 a pic2 d

Step-by-step explanation:

i did this

Answer:

you earn 8.50 an hour

he has 288 inches of fabric

Step-by-step explanation:

Answer:

1. Kevins unit rate is $8.50 per hour

To find the unit rate, we need to divide 6 by 51. 51/6 = 8.50 Kevin earns $8.50 per hour

2.  there are 288 inches in 8 yards so tony has 288 inches of fabric.

1 yard is 36 inches 8 * 36 is 288

Step-by-step explanation:

1. The total distance of the race is 44 miles. 2. There are 13 female senators and 71 female members of the House of Representatives in Congress. Jane will pay $387.50 per month.

1. We are given that Mark ran half the distance and swam a quarter of the distance before starting to bike the remaining 11 miles. Let's represent the total distance of the race as "D."

The distance Mark ran is half of D, so it is D/2.

The distance Mark swam is a quarter of D, so it is D/4.

After Mark's break, he started biking the remaining 11 miles.

Since the total distance of the race is the sum of the distances Mark ran, swam, and biked, we can set up the following equation:

D/2 + D/4 + 11 = D

To solve for D, we can simplify the equation and solve for D:

Multiply the equation by the common denominator, which is 4:

2D + D + 44 = 4D

3D + 44 = 4D

Subtract 3D from both sides:

44 = D

Therefore, the total distance of the race is 44 miles.

2. In the second problem, we are given that there are 84 female officials in Congress, and the number of female members of the House of Representatives is 58 more than the number of female senators. Let's represent the number of female senators as "S" and the number of female members of the House of Representatives as "H."

We are given that the total number of female officials is 84, so we can write the equation:

S + H = 84

We are also given that the number of female members of the House of Representatives is 58 more than the number of female senators:

H = S + 58

To solve for the values of S and H, we can substitute the second equation into the first equation:

S + (S + 58) = 84

2S + 58 = 84

Subtract 58 from both sides:

2S = 26

Divide both sides by 2:

S = 13

Substitute the value of S back into the equation for H:

H = 13 + 58

H = 71

Therefore, there are 13 female senators and 71 female members of the House of Representatives in Congress.

3. In the third problem, Jane and her two friends will rent an apartment for $775 a month, but Jane will pay double what each friend does because she will have her own bedroom. Let's represent the amount each friend pays as "F" and the amount Jane pays as "J."

We are given that Jane will pay double what each friend pays, so we can write the equation:

J = 2F

The total amount they will pay is $775, so we can write the equation:

F + F + J = 775

Substituting the value of J from the first equation into the second equation:

F + F + 2F = 775

4F = 775

Divide both sides by 4:

F = 193.75

Substitute the value of F back into the equation for J:

J = 2(193.75)

J = 387.50

Therefore, Jane will pay $387.50 per month.

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