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The number of 46-ounce cans of tomato juice to be ordered for the reception is 42.

A chef plans the menu for a particular reception for 322 guests.

The appetizer is a 6-ounce serving of tomato juice for each guest.

He has 322 guest to cater for.

Each of his guest will get an appetizer of 6 -ounce serving of tomatoes juice.

Therefore,

1 guest = 6 ounce of tomato serving

322 guest = ?

cross multiply

amount of tomato serving required = 322 × 6

amount of tomato serving required = 1932 ounces

Therefore,

the number of 46-ounce cans tomatoes juice ordered = 1932 / 46

the number of 46-ounce cans tomatoes juice ordered = 42

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In a certain city, if the cost of availing drinking water service is $62.44, and we have to pay an additional $6.35 for every m³ of water consumed, then the algebraic expression that describes the total to be paid (T) on a consumption of (C) m³ of water will be [T = (6.35C + 62.44)].

As per the question statement, in a certain city, the cost of availing drinking water service is $62.44, and we have to pay an additional $6.35 for every m³ of water consumed.

We are required to determine an algebraic expression that can describe the total amount to be paid (T) for a consumption of (C) m³ of drinking water.

Here, if we suppose that 1 m³ of drinking water is consumed, then total amount to be paid = [tex][(6.35*1)+62.44][/tex]

Similarly, if we suppose that 2 m³ of drinking water is consumed, then total amount to be paid = [tex][(6.35*2)+62.44][/tex]

Thus, on consumption of "C" m³ of drinking water is consumed, total amount to be paid [tex][T=(6.35*C)+62.44][/tex]

                               [tex]or, [T=(6.35C+62.44)][/tex].

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The area of the circle is 254. 502 square units

The formula for area of a circle is expressed as;

Area = πr²

Where;

r is the radius of a circle

Note that the radius of a circle with an inscribed triangle is expressed as;

Radius = ABC/4A

Where;

A, B and C are the sides of the inscribed triangle

Radius = 6 × 6 × 6 / 4(6)

Radius = 216/ 24

Radius = 9 units

Now, substitute the value of the radius into the formula

Area = 3. 142 × (9)²

Area = 3. 142 × 81

Area = 254. 502 square units

Thus, the area of the circle is 254. 502 square units

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Answer:

(5x-2)(x+1)

means that x = -1 or x =[tex] \frac{2 }{5} [/tex]

Step-by-step explanation:

the quadratic formula is

[tex] \frac{ -b ± \sqrt{(b)^{2} - 4ac } }{2a} [/tex]

where a = 5

b = 3

c = -2

substitute with the equation above this gives you the answer

hope this helps

Hence , the shading of the linear inequalities 9y - 2 < 13 and 3y - > -29 is given below.

The graph of the equation 9y - 2 < 13  equation (1) is represented by green colour and graph of the equation  3y - > -29  equation (2) is represented by yellow colour .

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The complete question is given below :

Shade the graph of 9y - 2 < 13 and 3y - > -29 .

Answer:

Step-by-step explanation:

x -> +1  ->×2

The total surface are of the cylinder is approximately 180.64 square inches.

One of the most fundamental curvilinear geometric shapes, a cylinder is a three-dimensional solid. It has been regarded geometrically as a prism whose base is a circle.

The properties of a cylinder with radius r and height h are:

Given dimension of the cylinder are:

Diameter=5 inches and height=9inches

We know that radius=diameter/2

Therefore radius of the cylinder is 5/2=2.5 inches

Now the total surface are of the cylinder

=2πr(r+h)

=2π×2.5×(2.5+9)

=2π×28.75

=57.5π square inches

=180.6415...

≈180.64 square inches

The total surface area of the cylinder is approximately 180.64 square inches.

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According to the percentage, Stephen played this week is 24.2 minutes.

According to the statement

We have to find that the number of minutes has he played this week.

So, For this purpose, we know that the

A percentage is a number or ratio expressed as a fraction of 100.

From the given information:

Stephen has logged 220 minutes of game play today. His dashboard says that today's game time represents 11% of his game play for the week.

Then

Time of logged of game play = 220 minutes

Today's game time = 11% of his game play

Then

The minutes he played game in a week = 11% of 220 minutes

The minutes he played game in a week = 11/100*220

The minutes he played game in a week = 0.11*220

The minutes he played game in a week = 24.2 minutes.

So, According to the percentage, Stephen played this week is 24.2 minutes.

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Answer:

3 feet below the surface

Step-by-step explanation:

2 - 5 = -3

Equation of the horizontal line through the given point is: y = -13.

Equation of the vertical line through the given point is: x = 13.

The equation of a vertical line is expressed as, x = b, where b is the constant representing the point where the line intercepts the x-axis. The line is parallel to the y-axis.

On the other hand, the horizontal line intersects the y-axis at a point, b, and it is parallel to the x-axis. It is written as y = b.

Given the point, (13, -13), we have the following:

Equation of the horizontal line through the given point is: y = -13.

Equation of the vertical line through the given point is: x = 13.

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Answer:

[tex]y = l \frac{1}{3} xl \\ [/tex]

Answer: should be C

Step-by-step explanation:

Function for MX the cost for X megabytes of data used in a month is -

m(x) = {0.149.8,ifr>2

          {10,ifr≤2

A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

• Data exceeding 2 MB is charged at a rate of $0.10 per MB; one-time fee is $10;

The cost per month for x MB of data is:

1. Up to 2 Mb of data utilized; $10

2. Data use of over 2 MB

• m(x) = 10+ 0.1(x-2)= 10+ 0.1x 0.2 0.1x + 9.8 m(x) = 0.1x + 9.8

Thus, the function is:

m(x) =  = {0.1x+9.8, if r>2

              { 10,ifr≤2

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Answer:

1/4 ft

Step-by-step explanation:

A = l x w

5/24 = 10/12 x w

Solve for w

5/24 divided by 10/12 = w

Take inverse of 10/12 and multiply

5/24 times 12/10

1/4

Answer:

b: 56

Step-by-step explanation:

x + y = 88

x is 4 more than half the other number.

half of y is 1/2y

4 more than that is 1/2y + 4

substitute

1/2y + 4 + y = 88

solve for y

3/2y = 84

y = 168 / 3 = 56

solve for x

x = 88 - 56 = 32

not sure where you would answer 32 from what's given :)

Answer:

7089

Step-by-step explanation: Hope it helped have a good day!

Answer: Tim weighs 280 pounds

Step-by-step explanation:

Rick weighs 200 pounds

George weighs (200-10)=190 pounds

Jim weighs (190-50)=140 pounds

Tim weighs 140*2=280 pounds

El número complejo 3 · cis(5π / 6) en forma rectangular es - 3√3 / 2 + i 3 / 2.

El sistema de notación conocido como "cis" resume los números complejos en función de su magnitud y dirección sin necesidad de usar funciones trascendentes. En esta pregunta debemos transformar un número complejo en notación cis a notación rectangular, cuya formula es mostrada abajo:

r · cis θ = r · cos θ + i r · sin θ

Donde:

En consecuencia, tenemos que el número complejo en notación cis es igual a:

z = 3 · cos (5π / 6) + i 3 · sin (5π / 6)

z = - 3√3 / 2 + i 3 / 2

El número complejo 3 · cis(5π / 6) en forma rectangular es - 3√3 / 2 + i 3 / 2.

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Answer:

15.  x-intercept = (-4, 0)

      y-intercept = (0, 2.5)

16.  A. An infinite number of solutions.

Step-by-step explanation:

The x-intercepts are where the line crosses the x-axis, i.e. when y = 0.

The y-intercepts are where the line crosses the y-axis, i.e. when x = 0.

Given equation:

[tex]5x-8y=-20[/tex]

Substitute y = 0 into the given equation to find the x-intercept:

[tex]\begin{aligned}y=0 \implies 5x-8(0) &=-20\\5x & = -20\\x & = \dfrac{-20}{5}\\x & = -4\end{aligned}[/tex]

Therefore, the x-intercept is (-4, 0).

Substitute x = 0 into the given equation to find the y-intercept:

[tex]\begin{aligned}x=0 \implies 5(0)-8y &=-20\\-8y & = -20\\y & = \dfrac{-20}{-8}\\y & =2.5\end{aligned}[/tex]

Therefore, the y-intercept is (0, 2.5).

Given system of equations:

[tex]\begin{cases}3x-2y=14\\6x=4y+28\end{cases}[/tex]

Multiply the first equation by 2:

[tex]\implies 2(3x-2y)=2(14)[/tex]

[tex]\implies 6x-4y=28[/tex]

Add 4y to both sides:

[tex]\implies 6x-4y+4y=4y+28[/tex]

[tex]\implies 6x=4y+28[/tex]

Therefore, the two equations are the same.  

A system of linear equations has an infinite number of solutions when the graphs are the exact same line.

Answer:

46+81 round to 50+80=130   46+81=127

Step-by-step explanation:

Because 46-50

81-80

46+81=127

A. 4 terms

B. 1

C. -3y

D. 7

hope you get a good grade

Answer:

46

Step-by-step explanation:

75 degrees is the entire angle and you need to find out what h is, you need to subtract 29 from 75 and you will get h.

H=46.

Answer:  y = -4x + 6

Step-by-step explanation:

supposing m1 is the gradient of the line  for whose equation  we want to find

m1  * m2 =-1  for perpendicular lines

if m1 = 1/4

meaning m2 = -4

m2= -4 at point (2,-2)

we can get value of constant  c

y = mx =c

-2 = (-4)(2) +c

c = 6

substituting c and m2 in gen eqn of line : y =mx +c

y = -4x + 6

Answer:

Step-by-step explanation:

his statement:

x to the power of 3 is equal to y to the power of 5.

B ∪ A is the relationship between Set A and Set B.

We have two sets A and B.

We have to determine the relationship between set A and set B if A intersects B = B.

A set is a collection of elements, numbers or objects, represented within the curly brackets { }.

According to the question -

A ∩ B = B.

This means that the intersection of set A and set B is equal to B. This means common elements in both the set are same as the elements of set B. This can only happen when -

B ∪ A → B is the subset of A.

Hence, B ∪ A is the relationship between Set A and Set B.

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The volume of the shed is 1033.2 cubic feet.

Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.

Given:

Lorie ordered a shed to hold her gardening supplies.

The shed had a length of 10.25 ft, a width of 14 ft, and a height of seven and one fifth ft.

l = 10.25 feet,

w = 14 feet

h = [tex]7\frac{1}{5}[/tex] = 7.2 feet

And we have the formula to calculate volume,

V = lwh

Substituting all the values,

V = 10.25 x 14 x 7.2

V = 1033.2 cubic feet.

Therefore, the volume is 1033.2 cubic feet.

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Answer:

(2,4)

Step-by-step explanation:

The range is the second number of each set. Take all of those and you get 2,4,2,4. You only need one of each number so you end up with (2,4).

Answer:

2x^2-4x-7=0 according to factorization rule we must have to multiply first and last 2×7 =18 May me this question is mistake