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. How many 46-ounce cans of tomato juice are ordered for this reception?

Hence proved, x*0 = 0.

A statement that is assumed to be true is referred to as a postulate, axiom, or assumption. It is used as the foundation for further deductive reasoning and arguments.

Given many of the typical formulations of the Peano axioms, for example, this is the base case for the definition of multiplication, so it’s an axiom, not a theorem.

x*o = 0

By using an example as rings:

Therefore, By definition of negotiation

= x + (-x)

0 = x · 1 + ( - x) where 1 is the multiplicative identity,

Now,

= x · ( 0 + 1) + ( - x)

Therefore by distributive law,

= x · 0 + x · 1 + (-x)

Where 1 is the multiplicative identity.

By definition of negotiation,

= x · 0  + x + (-x)

= x · 0  + 0

Where 0 is the additive identity.

= x · 0

Therefore, x*0 = 0

Learn more about axioms here:

https://brainly.com/question/1575514

#SPJ9

Answer:

  12. BC = 8

  14. JL = 18

Step-by-step explanation:

You want to apply the Segment Addition theorem to two problems.

The segment addition theorem tells you the whole is the sum of the parts. The equation for each problem reflects this fact. When given values are substituted, the answer becomes clear.

  AB +BC = AC

  7 +BC = 15

  BC = 8 . . . . . . . . subtract 7

  JK +KL = JL

  8 +10 = JL = 18

__

Additional comment

It often helps to draw a diagram.

According to the parameters given, the rule again for graph of g after so transformations of a function F(x) = 2x - 1 is  g(x) = -4x + 4.

The graph for the given function defined by the equation;

F(x) = 2x - 1

Initially, the graph of g is a three-unit translation, so we have;

Then comes a vertical stretch by such a factor of two and a reflection in the x axis.

The above means that graph must all be multiplied by 2 and that x values containing x are now considered to be -x.

And an x-axis reflection yields;

Thus, the rule for making the graph of function g(x) is by; g(x) = -4x + 4.

To know more about the translation, here

https://brainly.com/question/1574635

#SPJ9

Step-by-step explanation:

two people like neither animal

Answer:

13

Step-by-step explanation:

15+75-32-45

90-32-45

58-45

13

Answer:

10000

Step-by-step explanation:

100 hugs x 100 hugs

= 10,000 hugs.

Answer:

22 weeks

Step-by-step explanation:

595+65=660

22x30=660

so he could buy a bicycle and owes his sister the money after 22 weeks

Due to modulus there can be two answers, one with greater than equal to and one with less than equal to. So the answer is 11 and -7.

Solve the inequality |x−2|≥9

Inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. It means that the expression on the left-hand side should be greater than or less than the expression on the right-hand side or vice versa.

a) |x−2|≥9 = x-2≥ 9

=> x≥ 9+2

=> x≥ 11

b)  |x−2|≥9 = x-2≥ -9 (when sign the negative the greater than equal to sign changes to less than equal to sign)

= x ≤ -9+2 ≤-7

To learn more about inequality visit:

brainly.com/question/20383699

#SPJ1

Check the picture below, so the ellipse looks more or less like so.

[tex]\textit{ellipse, vertical major axis} \\\\ \cfrac{(x- h)^2}{ b^2}+\cfrac{(y- k)^2}{ a^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h, k\pm a)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2- b ^2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=3\\ k=-8\\ a=5 \end{cases}\implies \cfrac{(x-3)^2}{b^2}+\cfrac{(y-(-8))^2}{5^2}=1 \\\\\\ \stackrel{\textit{we also know that}~\hfill }{c=3\hspace{3.5em} 3=\sqrt{5^2 - b^2}} \implies 3^2=5^2-b^2\implies b=\sqrt{5^2-3^2} \implies \boxed{b=4} \\\\\\ \cfrac{(x-3)^2}{4^2}+\cfrac{(y-(-8))^2}{5^2}=1\implies \cfrac{(x-3)^2}{16}+\cfrac{(y+8)^2}{25}=1[/tex]

Answer: Yes it looks correct i also did it myself and got the same answer

Step-by-step explanation:

Answer: 44 Pennies

Step-by-step explanation: The ratio of pennies to dimes is 4:1. Add both numbers up to get 5 and divide 55 by 5 to get 11. multiply 4 and 1 from the ratio by 11 to get 44 and 11. This is the number of pennies and dimes.

Answer:

The expanded form of 300684 can be written with only 4. Add ends, explain how this is possible for a number with 6 digits. When we look at this number, we want to write that in expanded form, which means we want to write the value of each digit. So i look at the value the 4 in the one's place, so its value is 4 actually 4. The 8 is in the tense place, so its value is 810 point. The 6 is in the hundreds place, so its value is 600 point. The 0 is, in the thousands place, that's 0. Thousands. This 0 is in the 10000 point, so we have 010000 and i'm running out of room. So this 3 is in the 100000. Place of its value is 3 times 100000. It just think of it like money, you have 810 dollar bills, 600 dollar bills, etcetera. So if you have 41 dollar bills, you have 4 dollars. If you have 810 dollar bills, you have 80 dollars: 600 dollar bills. You have 600 dollars now. If you have 0 thousands and 010000, you don't have any money in this, so you don't need to write that down. So now i have 300 dollar bills. Some got a value of 300000 point, so they could leave me only 4 digits that i'm adding together reason being this was 0, so there was no value there.

Answer:

3+3+3+3=12

48-12-12-12=12

Step-by-step explanation:

common sense :)

If y and x vary directly, the value of y=2.6 then value of x is 1.14.

The tenths place is represented by the initial digit following the decimal. The hundredths place is denoted by the digit that followed the decimal. Up until there are no additional digits, the remaining ones keep the place values filled in the quantity.

For example, 2.84620364 can be round to two decimal places as 2.85, and 0.8035 can be round to two decimal places as 0.80.

Here x and y vary directly,

So , x/y = k

Therefore K is constant

For x = 3.2 and y = 1.4

Then x/y = k

3.2/1.4 = k

K = 1.6/0.7

If y = 2.6 what is x

y = 2.6 and k = 1.6/0.7

2.6/x = 1.6/0.7

1.6x = 18.2

X = 1.1375.

Hence, the Round to two decimal places of x is 1.14

To learn more about Decimal places, visit:

https://brainly.com/question/50455

#SPJ1

The dimensions of the rug that Cynthia Besch should buy are 11 ft wide and 25 ft long, which gives an area of 275 ft².

The dimensions of the rug include the width and the length.

Cynthia is budget-constrained to buy 275 ft² only.

When we factorize 275, we have 1, 5, 11, 25, 55, and 275.

The possible combinations of width and length to get 275 ft² and also ensure that a uniform strip of the floor is left around the rug are 11 ft and 25 ft.  This width and length are less than the room's width and length and satisfy the requirement for a uniform strip.

The strip from the room's width and length must be 8 ft each (from all sides).

Width of room = 19 ft

Length of room = 33 ft

Area of room = 627 ft²

Width of rug = 11 ft(19 - 8)

Length of rug = 25 ft (33 - 8)

Area = 275 ft² (11 x 25)

Thus, the dimensions of the rug that Cynthia Besch should buy are 11 ft wide and 25 ft long.

Learn more about dimensions and perimeter at https://brainly.com/question/26740257 and https://brainly.com/question/19819849

#SPJ1

The length of the rectangular garden given the area and width is 8/7 miles

A rectangle is a form of quadrilateral having opposing sides parallel and four right angles. The area of a rectangle can be calculated by multiplying the length by width.

Area of a rectangular garden = length × width

16 = x × 14

16 = 14x

x = 16 / 14

x = 8/7 miles

Therefore, the length of the rectangular garden given the area and width is 8/7 miles.

Learn more about area of rectangle:

https://brainly.com/question/13048427

#SPJ1

Answer:

Statements:

1) -2(x-4)=2x+12

2) -2x+8=2x+12

3) -4x+8=12

4) -4x=4

5) x=-1

Reasons:

1) Given

2) Distributive Property

3) Combine like terms/Subtraction Property of Equality (subtract 2x from both sides).

4) Subtraction Property of Equality

5) Division Property of Equality

The total asset of Magic mirror is $515,708

Magic Mirror has $428,210 in capital and $87,498 in liabilities.

The capital is also know as the equity which means the company's net worth.

Liabilities are everything a business owes, now and in the future.

Assets are everything a business owns. Assets may be current or fixed assets

Therefore,

Total Assets - Total Liabilities = Capital

Where

Hence,

Total Assets  =  $87,498 + $428,210

Total Assets  = $515,708

learn more on assets here:https://brainly.com/question/11695810

#SPJ1

Answer:

10 ≤ x ≤ 19

Step-by-step explanation

The sum of the three lengths is 9 + 12 +x =  21 + x

We know the sum ranges from 31 to 40

So we get the inequality

31 ≤ 21 + x ≤  40

Subtracting 21 from each part of this inequality give

31-21 ≤ x ≤40-21

10 ≤ x ≤ 19

The compound inequality to show the possible lengths of the third side is 10 ≤ x ≤ 19.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now it is given as,

Range of sum of three lengths of a fence = 31 to 40 inches

Length of two sides = 9 and 12 inches

Length of third sides = x inches

So, length of sum of three lengths of a fence = 9 + 12 + x

⇒  length of sum of three lengths of a fence = 21 + x

∵ Range of sum of three lengths of a fence = 31 to 40 inches

31 ≤ length of sum of three lengths of a fence ≤ 40

⇒ 31 ≤ 21 + x ≤ 40

Subtracting 21 we get.

10 ≤ x ≤ 19

Thus, the compound inequality to show the possible lengths of the third side is 10 ≤ x ≤ 19.

To learn more about inequality :

https://brainly.com/question/13363104

#SPJ2

Answer:

-1

Step-by-step explanation:

[tex]2(3x-1) \geq 4x-6 \\ \\ 6x-2 \geq 4x-6 \\ \\ 2x \geq -4 \\ \\ x \geq -2[/tex]

Answer:

-1 is the answer

Step-by-step explanation:

After calculation the percentage, we have come to find that 66.5 20% percent of 332.5 .

A percentage is a number or ratio in mathematics that could be expressed as a fraction of 100. If we need to calculate a percentage of a number, divide it by 100. As a result, the percentage denotes a part out of a hundred. The word % means "per 100." The symbol for it is "%."

Percentages can also be expressed as decimals or fractions, for example, 0.6%, 0.25%, and so on. Academic grades are calculated in terms of percentages. Ram, for example, received a 78% on his final exam. As a result, this percentage is calculated based on Ram's total marks across all subjects.

To find out percentage, We multiply the fraction of given numbers with 100

= 66.5/332.5 × 100

= 1/5 × 100

= 20%

Learn more about percentage

https://brainly.com/question/24304697

#SPJ9

The volume of the cylinder is 1809.5 cubic units.

The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it

V = πr²h

where 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

Given that a cylinder with a radius of 6 and height of 16.

Here r = 6 and h = 16,

the volume of a cylinder = πr²h

the volume of a cylinder = π(6)²×16

the volume of a cylinder = 1809.5 cubic units

Thus, the volume of the cylinder is 1809.5 cubic units.

Learn more about the volume of the cylinder here :

brainly.com/question/16134180

#SPJ1

Based on the commutative property of addition, 2x + 21 = 21 + 2x.

The commutative property of addition states that when we change the order of arrangement of the addends, the value of the sum remains the same.

For example, 3 + 4 = 4 + 3.

Also, given the statement 2x + 21, we can state that:

2x + 21 = 21 + 2x

Therefore, based on the commutative property of addition, 2x + 21 = 21 + 2x.

Learn more about the commutative property of addition on:

https://brainly.com/question/778086

#SPJ1

Answer:

She had $160 at first

Step-by-step explanation:

Fiona spent of her money on a dress and $39 on a bag. If she had $121 left, how much money did she have at first?

In order to find how much she had at first

we have to add how much she spent plus how much she has left with her

➟ $121 + $39

➟ $160

∴ She had $160 at first

John's speed on each section of the walk are 4 km per hour, 0 km per hour and 1.5 km per hour

On the first section, we have the following points

(x, y) = (0, 0) and (1.5, 6)

The speed is calculated as

Speed = (y2 - y1)/(x2 - x1)

This gives

Speed = (6 - 0)/(1.5 - 0)

Evaluate

Speed = 4

On the second section, we have the following points

(x, y) = (1.5, 6) and (2, 6)

The speed is calculated as

Speed = (y2 - y1)/(x2 - x1)

This gives

Speed = (6 - 6)/(2 - 1.5)

Evaluate

Speed = 0

On the third section, we have the following points

(x, y) = (2, 6) and (6, 0)

The speed is calculated as

Speed = (y2 - y1)/(x2 - x1)

This gives

Speed = (0 - 6)/(6 - 2)

Evaluate

Speed = -1.5

Hence, John's speed on each section of the walk are 4 km per hour, 0 km per hour and 1.5 km per hour

Read more about speed at:

https://brainly.com/question/14335655

#SPJ1

(a) X is distributed normally.

(b) The median recovery time is 3 days.

(c) The z score of the patient who takes 4.2 days to recover is 0.75.

(d) The probability of spending more than 2.3 days in recovery is 66.64 %.

(e) The probability of spending between 3.7 and 4.2 days in recovery is 10.7 %.

(f) The 85th percentile for recovery times is 5.24 days.

(a) We are informed that a certain surgical procedure's recuperation time for patients is typically distributed. As a result, X is distributed normally.

(b) The median will be equal to the mean because the patient recovery time has a normally distributed distribution. The median is therefore 3 days.

(c) The formula for z score is given as:

z = X - μ / σ

Now, we have the mean μ = 3 days.

Standard deviation, σ = 1.6 days

The observed value, X = 4.2 days

Therefore,

z = ( 4.2 - 3) / 1.6

z = 1.2 / 1.6

z = 0.75

(d) When X = 2.3 days

Then the z score will be:

z = X - μ / σ

z = 2.3 - 3 / 1.6

z = - 0.7 / 1.6

z = - 0.4375

The corresponding area for z = 0.4375 is 0.3336.

In order to determine the likelihood for a period longer than 2.3 days, we must look at the region to the right, which we can locate by deducting 0.3336 from 1.

Therefore, the probability will be:

p = 1 - 0.3336

p = 0.6664

p = 66.64 %

(e) Now, for the probability between X = 3.7 days and 4.2 days.

z₁ = (3.7 - 3) / 1.6 = 0.7/1.6 = 0.4375

z₂ = (4.2 - 3) / 1.6 = 1.2 / 1.6 = 0.75

The area for a z score of 0.4375 is 0.1664 and the area to left for a z score 0.75 is 0.2734.

Then the probability between 3.7 days and 4.2 days will be:

p = 0.2734 - 0.1664

p = 0.107

p = 10.7 %

(f) For the 85th percentile:

For 0.85 the z score from the table is 1.4.

So, z = 1.4

z = X - μ / σ

1.4 = ( X - 3) / 1.6

(1.4)(1.6) = X - 3

2.24 = X -3

X = 2.24 + 3

X = 5.24 days

Learn more about standard deviation here:

https://brainly.com/question/475676

#SPJ9

The complete question is mentioned below:

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.6 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible.

a. What is the distribution of X?

b. What is the median recovery time? __________days

c. What is the Z-score for a patient that took 4.2 days to recover?

d. What is the probability of spending more than 2.3 days in recovery?

e. What is the probability of spending between 3.7 and 4.2 days in recovery?

f. The 85th percentile for recovery times is _________days.

Answer:

-39

Step-by-step explanation:

Hello, to do this problem, we need to use substitution.

c=-4 and x=7

-5x+c

-5(7)+-4

-35-4

=-39

Hope that helps

:D

Answer:

c = -4

x = 7

- 5 (7) + (- 4)

- 35 + (- 4)

= - 39

Hope this helps :)

Answer:

11

Step-by-step explanation:

Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,

[tex]-16x+10x+86=180 \\ \\ 10x+70=180 \\ \\ 10x=110 \\ \\ x=11[/tex]

Answer:

Hope the picture will help you