A country clerk has given amount of money to budget for cultural events
Based on the scattplot , what does the point (0.18) represent
A.the total amount of the budget given to the country
B.the total amount of the budget spent after 18 months
C.the average amount spent out of the udget each month
D.the predicted amount of time after which the entire budget will. e spent​

So there is a total of 6 ears, 12 paws, and 3 tails in the room.

Answer:

In the room there should be 6 ears, 12 paws, and 3 tails in total.

Answer:

Step-by-step explanation:

Add up (1) and (2)

Double (2) and subtract from (3)

Double (4) and subtract (5)

Finding x

Finding z

So the answer is:

Answer:

ASA

Step-by-step explanation:

Angle B side BC and angle C

Triangle ABC and CDE are congruent by ASA congruence. Therefore, option E is the correct answer.

In the given figure, ΔABC and ΔCDE.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Here,

Consider ΔABC and ΔCDE, we get

∠B = ∠E (Given)

BC=CE (Given)

∠BCA = ∠ECD (Vertically opposite angles)

By ASA congruence, ΔABC≅ΔCDE

Triangle ABC and CDE are congruent by ASA congruence. Therefore, option E is the correct answer.

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Answer:

75%

Step-by-step explanation:

20-5=15 - change in numbers

15/20×100%= 75%

Answer:

The maximum possible volume = 332.685 cubic inches

Step-by-step explanation:

From the information given:

Let the height be = x

The length be = 24 - 2x

The width be = 12 - 2x

Then V = x (24 -2x) ( 12 - 2x)

V = x ( 288 -48x - 24x +4x²)

V = x(288 - 72x + 4x²)

V = 288x - 72x² + 4x³

[tex]\dfrac{dV}{dx}= (3x^2 - 36x+ 72)[/tex]

[tex]\implies x^2 - 12x + 24 = 0[/tex]

[tex]=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]=\dfrac{-(-12) \pm \sqrt{(-12)^2 - 4(1)(24)}}{2(1)}[/tex]

[tex]=\dfrac{12 \pm \sqrt{144 - 96}}{2}[/tex]

[tex]=\dfrac{12 \pm \sqrt{48}}{2}[/tex]

where;

[tex]x \ne \dfrac{12 + \sqrt{48}}{2}[/tex]

∴ [tex]x= \dfrac{12 - \sqrt{48}}{2}[/tex]

x = 2.536 ( since the length cannot be negative)

So, the length x = 24 - 2(2.535) = 18.93

The width = 12 - 2(2.535) = 6.93

heigth = 2.536

∴

V = 18.93 ×  6.93 ×  2.536

V = 332.685 cubic inches

    A box is made from a plastic sheet by removing square from each corner, maximum volume of this box will be 332.55 cubic inches.

           Volume = Length × Width × Height

Given in the question,

Let the measure of each side of a square removed = x inches

Therefore, length of the box = (12 - 2x) inches

Width of the box = (24 - 2x) inches

Height of the box = x inches

Volume of the box (V) = (12 - 2x) × (24 - 2x) × (x)

                                V  =  4x³ - 72x² + 288x

To find the maximum volume of the box differentiate the expression with respect to 'x' and equate it to zero.

V' = 12x² - 144x + 288

For V' = 0,

12x² - 144x + 288 = 0

x² - 12x + 24 = 0

[tex]x=\frac{12\pm\sqrt{(12)^2-4(1)(24)} }{2(1)}[/tex]

[tex]x=(6\pm2\sqrt{3})[/tex]

[tex]x=9.46,2.54[/tex]

For x = 9.46,

Volume of the box = 4(9.46)³- 72(9.46)² + 288

                               = -2769.03 cubic inches

For x = 2.54,

Volume of the box = 4(2.54)³- 72(2.54)² + 288

                               =  332.55 cubic inches

       Therefore, maximum volume of the box will be 332.55 cubic inches.

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Answer:

cost of producing the 501st item = $9.92

Step-by-step explanation:

The function representing the cost is given by;

C(x) = 10000 + 90x - 0.08x²

To get the cost of producing the 501st item, we have to first find the cost of producing 500 items and then do the same for 501 items then subtract the values gotten.

Thus;

C(500) = 10000 + 90(500) - 0.08(500)²

C(500) = 10000 + 45000 - 20000

C(500) = $35000

Similarly;

C(501) = 10000 + 90(501) - 0.08(501)²

C(501) = 10000 + 45090 - 20080.08

C(501) = $35009.92

cost of producing the 501st item = C(501) - C(500) = 35009.92 - 35000 = $9.92

9514 1404 393

Answer:

Step-by-step explanation:

Since we want to know the actual number of feet, we can write the proportion with that in the numerator.

  [tex]\dfrac{\text{actual feet}}{\text{scale inches}}=\boxed{\dfrac{c}{3}=\dfrac{169}{12}}\\\\c=\dfrac{3\cdot169}{12}=42\frac{1}{4}\qquad\text{multiply by 3}[/tex]

The real caboose is 42 1/4 feet long.

5

Simply add 3 and 2. You dont need to worry about the 50.

Or, complete 2x50 and 3x50

Now you would have 100 and 150.

Then add them to get 250.

Finally, divide 250 by 50.

Your answer should be 5

Answer:

$67 total

Step-by-step explanation:

9-3= 6

6(8.25)= 49.50

49.50+17.50= $67

Answer:

$67.00

Step-by-step explanation

17.50 (first 3 lines) + 8.25 (for each of the 6 lines left)

17.50 + (8.25*6) =

17.50 + 49.50 =

67

Answer:

X = 2

Step-by-step explanation:

14= 28 + 7x

28 - 14 = 7x

14 = 7x

14 / 7

2 = x

Answer:

x  =  − 2

Step-by-step explanation:

Answer:

y=3x+4

Step-by-step explanation:

4 is your y-intercept, and 3 is your slope.

The linear function shows the total cost will be y = 3x + 4.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

A taxi ride costs $4 plus an additional $3 per mile.

Let's say the number of miles is represented as x while the total cost is represented as y.

y = 3x + 4

Hence "The linear function shows the total cost will be y = 3x + 4".

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Answer:

x²=5x

x=5... probably c

Answer: 1200

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

First, you would divide 480 by 10 to get 48 because you divide by the number of hours.

Then, multiply 48 by 4 to get your answer.

The answer: 192

Answer:

y = -1/4x + 2

Step-by-step explanation:

slope = rise over run

-1 rise for 4 run

y intercept = 2

y = -1/4x + 2

Answer:

Rs. 2,50,000

Step-by-step explanation:

When a partnership distributes inventory items (hot asset) to its partners, the basis of the inventory items is used to record the transaction. Only when partnerships distribute assets other than hot assets will the fair market value of the assets be used to record the transaction.

The logic is that inventory items are valued at lower of cost or market value. This means that inventory items are already valued at FMV or cost, whichever is less. If the partnership recorded the transaction using Rs.1,75,000, then it would have to record a loss, and distributions cannot generate losses to a partnership. The only way to record the inventory items at Rs.1,75,000 is that previously the partnership writes down inventory.

Answer:

281-282

Step-by-step explanation:

Answer:

In the given options, 4+5 = 5+4 shows the best commutative property.

Step-by-step explanation:

One of the properties that can be applied on numbers is commutative property. Commutative property states that the order of the numbers on which any operation is being performed, can be swapped and the answer won't change.

Commutative property can be applied on addition, subtraction and multiplication.

Commutative property of Addition:

Commutative property of addition states that changing the order of adding two numbers does not change the result i.e. a+b = b+a

In the given options, 4+5 = 5+4 shows the best commutative property.

Answer:

Let's define the variables:

f = Cost per cake

d = Cost per drink.

"Stephen goes to the fair and buys two funnel cakes and one drink. His total bill is $6.75. "

2*f + 1*d = $6.75

"A few days later, he goes with a friend and buys three funnel cakes and two drinks. This time his total bill is $11."

3*f + 2*d = $11.

Then we have a system of equations:

2*f + 1*d = $6.75

3*f + 2*d = $11.

To solve this, the first step is to isolate one of the variables in one of the equations, let's isolate d in the first equation:

d = $6.75 - 2*f

Now we can replace this in the other equation:

3*f + 2*($6.75 - 2*f) = $11

3*f - 4*f + $13.50 = $11

-f = $11 - $13.50 = -$2.50

f = $2.50

Then the cost of a funnel cake is $2.50

And the cost of a drink can be obtained with the equation:

d = $6.75 - 2*f = $6.75 - 2*$2.50 = $1.75

The cost of a drink is $1.75

Answer:

The answer is A, 3.50w.

Step-by-step explanation:

When there is 1 pound, it is 3.50. 2 pounds it's 7.00 which is 3.50 times 2.

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Answer: 25

               2

Step-by-step explanation:

900 - 400 = 500 = 25

  50 - 10 =     40=    2        

This question was not written properly

Complete Question

Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.

7/6, 5/3, 13/6, 8/3

Answer:

a) Common difference = 1/2

b) Fifth term = 19/6

c) nth term = 7/6 + (n - 1)1/2

= 7/6 + n/2 - 1/2

d) 100th term = 152/3

Step-by-step explanation:

We solve using the formula for arithmetic sequence

an = a1 + (n - 1)d

a1 = First term

n= nth term

d = common difference

a) Common difference = Second term - first term or Third term - second term

= d = 5/3 - 7/6

d = LCD (Lowest Common Denominator = 15

d = 5 × 6 - 3 × 7/18

d = 30 - 21/15

d = 9/18

d = 1/2

b) Fifth term =

an = a1 + (n - 1)d

a1 = First term = 7/6

n= nth term = 5

d = 1/2

a5 = 7/6 + (5 - 1)1/2

a5 = 7/6 + (4)1/2

a5 = 7/6 + 4/2

a5 = 7/6 + 2

a5 = LCD = 6

= 7× 1 + 2 × 6/6

= 7 + 12/6

= 19/6

c) nth term

an = a1 + (n - 1)d

a1 = First term = 7/6

n= nth term = n

d = 1/2

= 7/6 + (n - 1)1/2

= 7/6 + n/2 - 1/2

d) 100th term

an = a1 + (n - 1)d

a1 = First term = 7/6

n= nth term = 100

d = 1/2

a5 = 7/6 + (100- 1)1/2

a5 = 7/6 + (99)1/2

a5 = 7/6 + 99/2

a5 = 7/6 + 99/2

a5 = LCD = 6

= 7× 1 + 3 × 99/6

= 7 + 297/6

= 304/6

= 152/3

Answer: 0.36

Step-by-step explanation:

6/10 x 6.10= 36/100

Answer:

20

Step-by-step explanation:

4 × 5 × 1 = 20 (cm³)

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Answer:

20

Step-by-step explanation:

The formula for volume:

[tex]V=length*width*height\\\\V=lwh[/tex]

Multiply all given values together:

[tex]V=4*5*1\\\\V=20*1\\\\V=20[/tex]

The volume of the box is 20cm³.

:Done

Note:

"Cubic" centimeters means cm³. The exponent is used because you multiplied 3 dimensions.

Another example would be with area. To find this, you multiply length by width, resulting in area², because you mutliplied 2 dimensions.

Answer:

60 m^3.

Step-by-step explanation:

3*4*5.

Answer:

4

Step-by-step explanation:

Answer:

y = -3/4x - 6

Step-by-step explanation: