The area of the rectangle shown is 44 m².
Work out the missing length x.

Answer:

2.221992

Step-by-step explanation:

can i have the crown pls ૮ ♡ﻌ♡ა

Answer:

2.221

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

6139 * x * 3 = 798

x = 798/(3*6139) = .0433= 4.33%

Answer:

(1,0)  slope: -\(\frac{3}{4}\)

Step-by-step explanation:

y-3 = -3/4(x-1)

y-3 = -\(\frac{3}{4}\)x+\(\frac{3}{4}\)

y = -\(\frac{3}{4}\)x - \(\frac{15}{4}\)

9514 1404 393

Answer:

  see below

Step-by-step explanation:

We assume you want to graph the equation ...

  y -1 = -3(x -3)

This is in "point-slope" form with point (3, 1) and slope -3.

We can graph this by locating the point (A), then finding another point (B) that is 3 units down and 1 unit right of the point we started with. That point is (4, -2).

The desired line goes through the two points.

Answer:

y = - 5x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 5 , then

y = - 5x + c ← is the partial equation

To find c substitute (- 2, 6 ) into the partial equation

6 = 10 + c ⇒ c = 6 - 10 = - 4

y = - 5x - 4 ← equation of line

Answer:

f(x) = 4+10/x

Step-by-step explanation:

f(x)x-5 = 4x+5

add 5 to both sides

f(x)x = 4x+10

divide both sides by x

f(x) = 4+10/x

still not sure if its the right problem...

In linear equation, x = 18 is the value of x in equation .

What is a linear equation example?

6x +4(x - 10) = 140.

6X + 4X - 40 = 140

10X = 140 + 40

10x = 180

  x = 180/10

  x = 18

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Answer:

number 1 : 5/12

Step-by-step explanation:

Answer:

1/2 or 6/12

Step-by-step explanation:

By multiplying the numerator and denominator together, we get 6/12, and when we simplify that we get 1/2, our answer.

Answer:

Total surface area : 733

The shape of the base is a rectangle with sides 11 in. and 12 in.

Step-by-step explanation:

The shape of the base is a rectangle with sides 11 in. and 12 in.

The surface area is the sum of the areas of the 5 sides.

Area of the base = 11*12 = 132

Area of the two triangles =  (11*16)/2 = 88

Area of the back rectangle = 192

The theorem of Pitagora to find the oblique side: square root of (11*11 + 16*16)= 19.42 in.

So the area of the oblique face: 19.42* 12 = 233 (almost :) )

So total surface area: 132 + 88*2+192+233= 733 square in

The total number of possible ways to award 3 medals to 4 finalists are 24.

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters. Mathematically, number of possible arrangements can be calculated using -

\(\bold{P(n, r) = n! \div (n - r)!}\)

Given is a dog show in which 3 medals are to be awarded to 4 finalists.

Number of medals [n] = 3

Number of finalists [f] = 4

Number of ways for awarding 3 medals to 4 finalists can be calculated using permutation as follows -

\(\bold{P(n, r) = n! \div (n - r)!}\)

\(\text{P}(4, 3) = 4! \div (4 - 3)!\)

\(\text{P}(4, 3) = 4! \div 1!\)

\(\text{P}(4, 3) = (4 \times 3 \times 2 \times 1 )\div(1 \times 1)\)

\(\text{P}(4, 3) = 4 \times 3 \times 2\)

\(\bold{P(4, 3) = 24}\)

Therefore, the total number of possible ways to award 3 medals to 4 finalists are 24.

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Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

The compound interest is larger than the simple interest by $3071.31

Where, simple interest is $3060 and compound interest is $6131.31

Compound interest refers to the method of calculating interest on a principal amount and any accumulated interest that has already been earned. In other words, it is the process of earning interest on interest.

The amount of interest earned using both simple and compound interest over a period of 30 years.

Simple interest formula:

\(SI = P*r*t\)

Using this formula, here, r = \(4\frac{1}{4}\) % = 0.0425

We can calculate the simple interest earned over 30 years,

SI = 2400 * 0.0425 * 30 = $3060

Compound interest formula:

\(A = P(1 + \frac{r}{n} )^{nt}\)

Using this formula, we can calculate the amount of money in the account after 30 years:

\(A=2400(1 + \frac{0.0425}{4} )^{4*30}\) = $8531.31

So, the Compound Interest earned = $8531.31 - $2400 = $6131.31

Therefore, the compound interest is larger than the simple interest by:

$6131.31 - $3060 = $3071.31

This is because compound interest earns interest on the interest that is already earned, resulting in a higher total interest earned over time compared to simple interest, which only earns interest on the initial principal amount.

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(a) Given any real number r, there is a real number s such that s is greater than  r.

(b) For any real number r, there exists a real number s such that s > r.

(a) For some real number r, there exists another real number s such that s is greater than r.

Complete statement is, Given any real number r, there is a real number s such that s is greater than r.

(b) For real number r, there exists another real number s such that s is greater than r, represented as s> r.

Complete statement is, For any real number r, there exists a real number s such that s>r.

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My own multi-step combination problem is given below:

To solve this problem, Amanda  need to use the formula for combinations and it is:

nCr = n! / (r! x (n-r)!)

where:

n = total number of items to select from

r is the number of items to select.

First, we have to calculate the number of ways to select 3 fruit from 5, hence it will be:

5C3

=  5! / (3! x (5-3)!)

= 10

Next, we have to calculate the number of ways to select 2 meatpie from 4 and it will be

4C2

= 4! / (2! x  (4-2)!)

= 6

Lastly,, we need to calculate the number of ways to select 2 desserts from 3 and it will be:

3C2

= 3! / (2! x  (3-2)!)

= 3

To have the total number of dinner menus, we have to multiply these three numbers together:

= 10 x 6 x 3

= 180

Therefore, one can say that Amanda have 180 different dinner menus that she can be create.

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Answer:

\(The \: Value \: of \: x \: is \: \boxed{ 6 \: units}\)

Answer:

240

Step-by-step explanation:

The average rate of a function f(x) is interval [a,b] is given by :-

R = (f(b) - f(a)) / (b-a)

Now, the given function : F(x) = 4(5)^x

Interval : [1,3]

Now, the average rate of change over the interval [1, 3]  is given by :-

R = F(3) - F(1) / (3 - 1)

= 4(5)^3 - 4(5)^1 / 2

= 4(5^3 - 5) / 2

= (4(125 - 5) / 2) = 240

Hope It helped

We follow the inclusive rule, The answer to the question is (A) that is

if y>=10 and y <=50

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. Any form of number you may imagine is a real number.

The intervals used are:

(a , b) , All the numbers between a & b without including them.

[a, b] , All the numbers between a & b including them.

y lies in [10,50].

And since it means that it includes 10 and 50 and all the numbers between them.

The final answer is (A) that is if y>1=10 and y <=50.

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Answer:

Below

Step-by-step explanation:

Find unit rate (since it starts at 0,0)

at 45 seconds  it is 900 bottles

             900 bottles / 45 seconds = 20 bottle / sec

20 bottles / sec * 80 sec = 1600 bottles

Answer:

(6, 3)

Step-by-step explanation:

Step 1: Rearrange 2nd equation

2x = 2y + 6

x = y + 3

Step 2: Substitution

14(y + 3) - 2y = 78

14y + 42 - 2y = 78

12y + 42 = 78

12y = 36

y = 3

Step 3: Plug in y to find x

2x - 2(3) = 6

2x - 6 = 6

2x = 12

x = 6

Answer:

Solution,

\(14x - 2y = 78 \\ or \: 14x = 78 + 2y \\ x = \frac{78 + 2y}{14} ..........equation \: (i) \\ \)

\( \\ \\ 2x - 2y = 6\)

Putting the value of x from equation (i)

\(2 \times \frac{78 + 2y}{14} - 2y = 6 \\ or \: \frac{78 + 2y}{7} - 2y = 6 \\ or \: \frac{78 + 2y - 2y \times 7}{7} = 6 \\ or \: \frac{78 + 2y - 14y}{7} = 6 \\ or \: \frac{78 - 12y}{7} = 6 \\ or \: 78 - 12y = 6 \times 7 \\ or \: 78 - 12y = 42 \\ or \: - 12y = 42 - 78 \\ or \: - 12y = - 36 \\ or \: y = \frac{ - 36}{ - 12} \\ y = 3\)

Now, putting the value of y in equation (i)

\(x = \frac{78 + 2y}{14} \\ = \frac{78 + 2 \times 3}{14} \\ = \frac{78 + 6}{14} \\ = \frac{84}{14} \\ = 6\)

Value of X is 6

Value of y is 3

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hope this helps...

Good luck on your assignment...

Answer:

Simplifying the expression `n + n - 0.18n`, we get:

n + n - 0.18n = 2n - 0.18n

Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.

Looking at the answer choices:

a. 1.18n

b. 1.82n

c. n- 0.18

d. 2n - 0.82

We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.

Therefore, the answer is d. 2n - 0.82.

Step-by-step explanation:

Answer:

3. D

4. I

5. E

6. G

7. J

8. B

9. A

10. H

Take any point in red figure.

Take that same point in blue figure.

Count and see how many units left/right and up/down you have to go to go from Red point to Blue point.

If we take the top vertices, we can count:

5 units left and 2 units down

This is the correct translation.

Answer: Plane AEF

Step-by-step explanation: Parallel means equal or same as. If you follow the letters BCD you can see that it sorta makes a triangle shape. So if you follow the answer choices you could see that AEF is the only one that does what BCD does if that makes sense :)

The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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Answer:

42.85 units

Step-by-step explanation:

Since the circle is linked to the equilateral triangle, then the diameter of the circle is 12. Therefore r = 6.Then, the perimeter of the resulting figure is:P = 6 * pi + 12 +12 = 42.85 Units.

Answer:

Step-by-step explanation:

24 miles / x minutes = 6 miles / 30 minutes

or

24 / 6 is 4 and 4 * 30 minutes = 120 minutes or 2 hours

Answer:

6 hours

Step-by-step explanation:

it will take 6 hours to ski

Answer:

∠ x = 58°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠  BAD is an exterior angle of the triangle , then

x + 56° = 114° ( subtract 56° from both sides )

x = 58°

Answer:

So, to answer this problem, we first have to get rid of the cider cost.

$20-$3.50=$16.50

Since we have $16.50 left, now we have to see how much cotton candy grapes Michaela can buy.

1 pound- $3.75

2 pound- $7.50

3 pound- $11.25

4 pound- $15

5 pound- $18.75

When Michaela buys 5 pounds of grapes, she gets a cost of $18.75.

Since $18.75 is $2.25 more than $16.50, the only option she can choose is 4 pounds.

When Michaela buys 4 pounds, she will spend $15 and she will still have $1.50 left. (If there is no tax.)

In summary, Micheala can buy 4 pounds of grapes without spending more than the rest of the money after buying cider.

(By the way, I LOVE cotton candy grapes.)

Hope this helps!

:)

Answer:

1: $11

2: $43.19

3: $128.57

Step-by-step explanation:

10 • 1.10 = 11

39.99 • 1.08 = 43.19

43.19 • 3 = 128.57