A soap manufacturing company packs 5252 soap bars per carton.
​
​Find the number of soap bars that can be packed in 99 cartons, using a direct variation model.

Answer:

y = 32/2.5

Step-by-step explanation:

formula:

y=kx

k = y/x

k= 4/2.5

so this is k

y = 4/2.5 x

y = 4 / 2.5 × 8

y = 32/2.5

answer.) y = 32/2.5

hope it was helpful

thank you

Answer:      Overview. An angle is the union of two rays with a common endpoint. The common endpoint of the rays is called the vertex of the angle, and the rays themselves are called the sides of the angle.

Step-by-step explanation:    just have done with before! i am really good at it

Answer:

(7,-10)

Very educated guess

Answer:

15,173.22

Step-by-step explanation:

Looks like there's a typo in the question.

Should it be:

10,800 for 3 years at 12% per annum compounded annually.​

-------------------------------

a = 10800 * (1.12)^3

a = 15,173.22

The value of 3x + 4y² when x = 5 and y = 3 is 51.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

3x + 4y²

We have to find the value of the expression when the value of x = 5 and that of y = 3.

For that, substitute x = 5 and y = 3 in place of x and y.

3x + 4y² = (3 × 5) + (4 × 3²)

             = 15 + (4 × 9)

             = 15 + 36

             = 51

Hence the value of the expression is 51.

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Answer:

51

Step-by-step explanation:

Answer:

m - 46 = 54

Step-by-step explanation:

46 less than m is 54,

→ m - 46 = 54

Let's solve this equation,

→ m - 46 = 54

→ m = 54 + 46

→ [ m = 100 ]

So, the answer is 100.

Answer:

Converse

Step-by-step explanation:

Converse

Ghhhhhhhnbb tggy

Answer: Show the options

Step-by-step explanation:

Answer:

c=0.8

Step-by-step explanation:

Step 1: Subtract 5.96 from both sides.

c+5.96−5.96=6.76−5.96

c=0.8

Answer:

B 81x^2 + 4y^2 that's the answer I have

Answer:

Step-by-step explanation:

The shaded region is the difference of the area of square with side 9x and the area of square with side 2y:

Correct choice is C

Answer:

A 2kg body is moving a long a horizontal circular path of radius 2m with constant speed of 6m/s . please help

Answer:

Step-by-step explanation:

[tex]\sqrt{\frac{7}{8} } = \sqrt{\frac{7}{8}*\frac{8}{8}[/tex]

= sqrt(56)/8

Answer:

  (√14)/4

Step-by-step explanation:

You can "rationalize the denominator" after you take the root, or you can make the denominator a perfect square before you take the root.

  [tex]\sqrt{\dfrac{7}{8}}=\dfrac{\sqrt{7}}{2\sqrt{2}}=\dfrac{\sqrt{7}}{2\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{\sqrt{14}}{4}\\\\\sqrt{\dfrac{7}{8}}=\sqrt{\dfrac{7}{8}\cdot\dfrac{2}{2}}=\sqrt{\dfrac{14}{16}}=\dfrac{\sqrt{14}}{4}[/tex]

Answer:

300 ft^2

Step-by-step explanation:

Multiply 30 by 10

The largest possible area that we can enclose in a form of a rectangle with a perimeter of 80 ft is 399 sq feet.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, I have 80 feet of fencing.

Assuming the length of the wall to be 'l' and the width of the wall to be 'w'.

∴ 2(l + b) = 80.

l + b = 40.

So, the sum of length and width is 40, now l + b can be 20 + 20 but that would be a square and give us maximum area but we need a rectangle.

We know the product of the sum of two numbers is maximum when the difference between them is minimum.

∴ The maximum rectangular area we can enclose is when the length is 21 and the width is 19.

Area = 21×19 sq feet.

= 399 sq feet.

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The future value of the mutual  fund after 15 years is equal to $1,256.55.

Given the following data:

To find the future value of the mutual  fund after 15 years:

Mathematically, compound interest is given by the formula:

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

Substituting the given parameters into the formula, we have;

[tex]A = 750(1 + 0.035)^{15}\\\\A = 750(1.035)^{15}\\\\A = 750(1.6754)[/tex]

Future value, A = $1,256.55

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Answer:

$5 in profit

Step-by-step explanation:

simple math

Answer:

6x-6

Step-by-step explanation:

(2x+6)+(4x-12)=2x+6+4x-12

                      =6x-6

Answer:

d(1) = 8

d(n) = d(n-1) + (-13)

Answer:

see explanation

Step-by-step explanation:

Her error is in squaring (2y)²

She has (2y)² = 2y²

when it should be 2y × 2y = 4y²

Then

(2y)² = 6² + 8²

4y² = 36 + 64

4y² = 100 ( divide both sides by 4 )

y² = 25 ( take square root of both sides )

y = [tex]\sqrt{25}[/tex] = 5

Answer:

The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage. Where: L = List Price. S = Sale Price

Answer:

97.6 in^3

Step-by-step explanation:

find the volume of the cylinder and then find the volume of the cone. the formula for the volume of the cylinder is pi*r^2*h. the formula for the volume of the cone is 1/3*pi*r^2*h. r=d/2=4/2=2, h(cylinder)=8, h(cone)=0.7. now just plug these values into the formulas.

cylinder: pi*2^2*8=100.531

cone: 1/3*pi*2^2*0.7=2.932

cylinder-cone= 100.531-2.932=97.599. round to the nearest tenth to get 97.6

Answer:

#1

Slope: 1/2

Y Intercept: -3

#2

Slope: -3

Y Intercept: 2

Answer:

24.5

Step-by-step explanation:

8+6(1/2 +5) divided by 2

Answer:

13

Step-by-step explanation:

Combine all like terms:

14x-2

Since there are 180 degrees in a triangle, all three angles are going to equal 180.

14x-2=180

Add 2

14x=182

Divide by 14

x=13

Answer: 15 students in her second class.

Step-by-step explanation:

Let A, B, and C stand for the number of students in each class. See the attached table.

The column labelled "Students" is formed by assinging B to the second class and finding how the other two classes relate to B. Class A has twice as many students as class B, so A = 2B. Class C has 5 more students than B, so C = B+5.

The total students amount to 65, whcih is the sum of A, B, and C:

A + B + C = 65

Substitute the values of A and C into this equation:

A + B + C = 65

2B + B + (B+5) = 65

4B + 5 = 65

4B = 60

B = 16

Use B=16 and solve for the other two classes (dotted blue line).

Answer:

x-12

Step-by-step explanation:

let us say that the other number is n. then we have n+12=x or n=12-x

[tex]y =\dfrac 12 \cdot x -4\\\\\implies y = \dfrac{x-8}2\\\\\implies 2y = x-8\\\\\implies x -2y=8[/tex]

Answer:

x = 16

Step-by-step explanation:

(8x - 14) = (5x + 34) since they are alternate exterior angles.

Solve for x:

8x - 5x - 14 = 34

3x - 14 = 34

3x = 34 + 14

3x = 48

x = 48/3  = 16

Answer:

Step-by-step explanation:

y is a function of x . TRUE

The graph of the relationship is a line.  TRUE

The graph of the relationship passes through the origin.  - it in standard form, when you plugin 0 for x or y, you get the other intersect( x-intercept: (12/-5,0) y-intercept: (0,4)) so it dosent go throught the origin. FALSE

When the input is 6, the output is 14. TRUE

-5(6)+3(14)=12

-30+42=12

12=12

Answer:

y is a function-TRUE

The graph of the relationship is a line-TRUE

The graph of the relationship passes through the origin-FALSE

When the input is 6, the output is 14-TRUE