A cone has a diameter of 8 units and a helght of 8 units. Its radius is____ its volume is ____ A cylinder with the same height and radius as the cone will have a volume of _____ cubic units. If a sphere has the same radius as the cylinder, Its volume is ____ the volume of the cylinder​

1. To maximize the profit :

28 jars of salsa and

0 jars of tomato sauce should be made.

which  make maximum profit of $42.

2.  In order to maximize the total monthly profit

2300 units of T₁ type table and and

600 units of T₂ type table should be made

which provide maximum profit of $273000.

In Algebra, 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. If the relationship between two algebraic expressions is defined using the inequality symbols, then it is called literal inequalities.

1. Let x be the numbers of jars of tomato sauce

Let y be the number of jars of salsa sauce

Profit P(x, y)=2x+1.5y

x≥0

y≥0

10x+5y≤140

x + y ≤13

​The solution set of the system of inequalities above the vertices of the feasible solution set obtained are shown below.

A at (0,13)

B at (0,28)

C at (14,0)

D at (15,0)

E at (15, -2)

Evaluate profit P(x, y) at each vertex

A at (0,13):P(0,13)=$19.5

B at (0,28):P(0,28)=$42

C at (14,0):P(14,0)=$28

D at (15,0):P(15,0)=$30

E at (15, -2):P(15,-2)=30-3=$27

The maximum profit of $42 is at vertex B.

Which means production of 28 jars of salsa and 0 jars of tomato sauce provides maximum profit of $42.

2. Let x be the number of tables of type T₁

​and y the number of tables of type T₂

​Profit P(x, y)=90x+110y

x≥0

y≥0

2x+4y≤7000

x+2.5y≤4000

2x+1,5y≤5500

​The solution set of the system of inequalities above the vertices of the feasible solution set obtained are shown below.

A at (0,0)

B at (0,1600)

C at (1500,1000)

D at (2300,600)

E at (2750,0)

Evaluate profit P(x, y) at each vertex

A at (0,0):P(0,0)=0

B at (0.1600):P(0,1600)=90(0)+110(1600)=176000

C at (1500,1000):P(1500,1000)=90(2500)+110(1000)=245000

D at (2300,600):P(2300,600)=90(2300)+110(600)=273000

E at (2750,0):P(2750,0)=90(2750)+110(0)=247500

The maximum profit of $273000 is at vertex D.

which means production of 2300 tables of type T₁ and 600 tables of type T₂ makes maximum  profit.

1. Hence, maximum profit is made by making

28 jars of salsa and

0 jars of tomato sauce getting

$42 of profit.

2. Hence the company needs to produce

2300 tables of type T₁ and

600 tables of type T₂,

in order to maximize its monthly profit which is equal to $273000.

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On solving the provided question, we can say that the equation will be 1.8x=7200 => x=4000

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

here,

the equation will be

1.8x=7200

x=7200/1.8

x=4000

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Earth's rotation is what causes day and night. As Earth rotates on its axis, half of the planet is facing the Sun, while the other half is facing away from the Sun.

The half of the planet facing the Sun experiences daylight, while the half facing away from the Sun experiences darkness. This cycle repeats itself every 24 hours, resulting in the day and night cycle that we experience.

Earth's rotation causes day and night by rotating on its axis, with half of the planet facing the Sun and the other half facing away from the Sun. This cycle of daylight and darkness lasts for  creating the day and night cycle that we observe.Earth's rotation is what causes day and night. As Earth rotates on its axis, half of the planet is facing the Sun, while the other half is facing away from the Sun.

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Answer:

13√(2) = x

Step-by-step explanation:

The given is an isosceles triangle so the two side lenghts are same (13 units)

in right triangles the square lenght of the hypotenus is equal to sum of two side's square lenght

13^2 + 13^2 = x^2

169 + 169 = x^2

338 = x^2

13√(2) = x

Answer:

(a) See attachment 1

All points lie on the same line

(b) See attachment 2

Step-by-step explanation:

Given

[tex]2x + y = 10[/tex]

Solving (a): Plot 5 points that make the equation, true

First, we calculate the points

Make y the subject

[tex]y = 10 - 2x[/tex]

[tex]x = 0 \to y = 10 - 2* 0 = 10[/tex]

[tex]x = 1 \to y = 10 - 2* 1 = 8[/tex]

[tex]x = 2 \to y = 10 - 2* 2 = 6[/tex]

[tex]x = 3 \to y = 10 - 2* 3 = 4[/tex]

[tex]x = 4 \to y = 10 - 2* 4 = 2[/tex]

So, we will plot the following points

[tex](0,10)\ (1,8)\ (2,6)\ (3,4)\ (4,2)[/tex]

See attachment 1

Notice that all points lie on the same line

Solving (b):

Point (5,7) does not make the equation true, and that is why it lies outside the line

See attachment 2

Answer:

x = 8

Step-by-step explanation:

572 - 500 = 72

72 / 8 = 9.

But in order to spend less than 572, he has to buy 8 cases. If he buys 9 cases he will be exactly 572.

Answer:

9 or fewer cases

Step-by-step explanation:

Solving a two step equation:

First, determine how much he has left to spend

572 - 500 = 72

He has 72 dollars left to spend on soda

Each case is 8 dollars.

Divide how much he has to spend by the cost of each case

72/8 = 9

He can buy up to 9 cases and stay under budget.

Answer:

Step-by-step explanation:

-2y-10=x-10x

-2(-14) - 10= x - 10x

28 - 10 = x - 10x

18= x-10x

18= -9x

/-9    /-9

-2=x

Each side when you plug in (-2) for x and (-14) for y you get 18.

If, when you plug in the number, you get different numbers for each side, then that means there's a mistake and the answer is wrong.

Hope this helps!

Write 30% as 30100Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

30100 of 84 = 30100 × 84Therefore, the answer is 25.2

If you are using a calculator, simply enter 30÷100×84 which will give you 25.2 as the answer.

Answer:

D. Down 5, Left 2

Step-by-step explanation:

-5 on the outside means it will go down 5.

+2 directly grouped with the variable means it will do the opposite, so it goes left 2.

Answer:

A

Step-by-step explanation:

10 liters won't fit on a spoon

Answer: -4/-6

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

32 x 9=288

Answer:

slope = -1

Step-by-step explanation:

any 2 points:

(2,2) (0,4)

to find the slope we use the formula:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

slope is:

2/-2 = -1

Answer:

The slope is =

2/-2 = -1

Step-by-step explanation:

Also i hope you have a wonderful day !

The number of hours after which the candle is burned completely is

68 hours.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Candle height = 11(1/3) inches

Each hour the height decreases by 1/6 inch.

Now,

The equation to find the number of hours x after which the candle is burnout is 11(1/3) - (1/6)x = 0

Solve for x.

11(1/3) - (1/6)x = 0

11(1/3) = (1/6)x

34/3 = (1/6)x

x = (34 x 6) / 3

x = 34 x 2

x = 68

Thus,

After 68 hours the candle is completely burnt.

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The limit as x approaches 2 or lim x→2  is 4.

When calculating a limit, the goal is to find the value of the function as x approaches the given value. In this case, the given value is 2. As x approaches 2, the values of the function will approach 4, which is the upper bound of the given inequality. This means that the limit as x approaches 2 is 4.

To prove this, we can look at the inequality and find the values of the function at x = 1 and x = 3. For x = 1, the function value is -1, which is less than 4. For x = 3, the function value is 7, which is greater than 4. This means that the function values are increasing as x gets closer to 2, so the limit as x approaches 2 is 4.

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Least to greatest: 0.64, 0.654, 0.66, 0.7

Answer:

1. 0.64

2. 0.654

3. 0.66

4. 0.7

^answer:^

~10 cubic feet~

^step by step explanation:^

first, calculate the volume of the front “panel” of the shape. (5 cubic centimeters because 5 times 3 is 15 and 15 times 1/3 is 5. 5 times 2 is 10.

Answer: the explanation ain't in a file smh its 23

Step-by-step explanation: 3x6+5=23[][][][]brainliest?

So on solving the provided question, here  we can say that by is a simultaneous equations the value of x = - 3/5 and y = 9/10

Multiple algebraic equations that have the same unknowna as the give in the  variables and the same answer are referred to as simultaneous equations. This suggests that there is a single solution to the simultaneous equations. Examples of simultaneous equations include: 2x - 4y = 4, 5x + 8y = 3, and others. This implies that the simultaneous equations have a single solution. The simultaneous equations 2x - 4y = 4, 5x + 8y = 3, and others are examples.

y = -x + 1.5

y = 1.5x + 2.5

x = -3/5

y = 9/10

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Answer:

Photo?

Step-by-step explanation:

If there is a photo linked I dont see it

Also: Dont click the stpid link below its malware

As per the concept of graph, the name of the point where the two axes cross is origin.

Graph in math is defined as a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.

Here we have to identify the name of the point where the two axes cross.

As we all know that the horizontal axis in the coordinate plane is called the x-axis and the vertical axis is called the y-axis.

Here we have also know that the point at which the two axes intersect is called the origin.

Where the origin is at 0 on the x-axis and 0 on the y-axis.

And these intersecting x- and y-axes divide the coordinate plane into four sections

Finally all these four sections are called quadrants.

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Answer:

7:15 ,2 weeks=14 days and 30 days divide by 2 = 7 and 15 put them to a ratio and you'll get 7:15.

.Answer:

Step-by-step explanation:

The length of the line segment BP = 15 using the trigonometric ratio of sine for the angle P.

The trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.

Considering the right triangles formed by points at P, A and the tangent to the bigger circle with its radius as base;

radius r = 10 and hypotenuse AP = 30

sinP = 10/30 {opposite/hypotenuse}

sinP = 1/3

Also for the smaller circle, with right triangle formed by points at P, B and the tangent to the smaller circle with its radius as base;

radius r and hypotenuse BP = 20 - r

sinP = r/(20 - r)

1/3 = r/(20 - r)

3r = 20 - r {cross multiply}

3r + r = 20 {collect like terms}

4r = 20

r = 20/4 {divide through by 4}

r = 5

BP = 20 - 5

BP = 15

Therefore, length of the line segment BP is derived using the trigonometric ratio of sine as 15.

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Answer:

-36x+9

Step-by-step explanation:

Answer:

-36x + 9. i hope this help :)))

Answer:

150.72

Step-by-step explanation:

Area of circle formula is r²π

Do find radius you do d/2, diameter/2. 13/2= 6.5

6.5 * 6.5 = 42.25

π  is also known as 3.14

42.25 * 3.14 = 132.665

That is the area of the smaller one.

For the larger one, 19/2 = 9.5

9.5 * 9.5 = 90.25

90.25 * 3.14= 283.385

Now you subtract both of them and the difference is 150.72.

Hope this helps !!

-Ketifa

Answer

150.72 m2

Step-by-step explanation:

Find the radius of the larger

merry-go-round.

19^2 = 9.5

Substitute 9.5 for r in the formula for the

area of a circle.

A-n • 9.52

= 71 -90.25

- 283.385

Find the radius of the smaller

merry-go-round.

13-^-2-6.5

Substitute 6.5 for r in the formula for the

area of a circle.

A~n • 6.52

= n - 42.25

-132.665

Subtract the area of the smaller merry go-round from the area of the larger

merry-go-round.

283.385 - 132.665 = 150.72

Answer:

y=z-1, z=y=1.

Step-by-step explanation:

As x=2

So,

x+y-z=1

2+y-z=1

y-z=-1

y=z-1,  z=y+1

Answer:

1/6

Step-by-step explanation: