Kristin spent 40$ on pampers. If they cost 8$ / package , how many packages did she buy

Answer:

The volume of the  cylinder is

 [tex]V=99\ in^3[/tex]

Step-by-step explanation:

we know that

The volume of the cone is equal to

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

[tex]V=33\ in^3[/tex]

so

[tex]33=\frac{1}{3}\pi r^{2}h[/tex]

Multiply by 3 both sides

[tex]99=\pi r^{2}h[/tex] ----> equation A

Remember that

The volume of a cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

The cylinder has the same height and the same  radius as the cone

so

Equate the volume of cylinder to equation A

[tex]V=99\ in^3[/tex]

The volume of the cylinder is 99 cubic inches and this can be determined by using the formula of the volume of the cylinder and the volume of the cone.

Given :

The formula of the volume of a cone is given by:

[tex]\rm V = \dfrac{1}{3}\pi r^2h[/tex]

[tex]\rm 3V = \pi r^2h[/tex]   --- (1)

The formula of the volume of the cylinder is given by:

[tex]\rm V' = \pi (r')^2 h'[/tex]  --- (2)

According to the given data, the cylinder has the same height and the same  radius as the cone. That is:

h' = h

r' = r

So, from equations (1) and (2):

V' = 3V

According to the given data, V = 33 cubic inches.

V' = 3(33)

V' = 99 cubic inches

So, the volume of the cylinder is 99 cubic inches.

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Answer:

★THANKS★

ANY DOUBTS? COMMENT PLEASE

Answer:

[tex]V=(a^{4})(b^{6})\ units^3[/tex]

Step-by-step explanation:

we know that

The volume of a rectangular prism is equal to

[tex]V=LWH[/tex]

In this problem we have

[tex]L=ab^2\\W=ab^3\\H=a^2b[/tex]

substitute

[tex]V=(ab^2)(ab^3)(a^2b)[/tex]

Applying property of exponents

[tex]x^{m} x^{n}x^{r} =x^{m+n+r}[/tex]

[tex]V=(a^{4})(b^{6})\ units^3[/tex]

Answer:

Step-by-step explanation:

y= 16

x=15

Using the substitution method,

The value of x is -1 and y is 3.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

2x + 6y = 16 _____(1)

3x - 5y = -18 ______(2)

From (1) we get,

2x = 16 - 6y

x = (16 - 6y)/2

Substituting in (2).

3x - 5y = -18

3 x (16 - 6y)/2 ) - 5y = -18

3 x (8 - 3y) - 5y = -18

24 - 9y - 5y = -18

24 + 18 = 9y + 5y

42 = 14y

y = 42/14

y = 3

And,

x = (16 - 6y)/2

x = (16 - 6 x 3) / 2

x = (16 - 18) / 2

x = -2/2

x = -1

Thus,

x = -1 and y = 3.

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To factor the expression 15x - 25 using the greatest common factor (GCF), divide each term by the GCF. The factored form is 5(3x - 5).

To factor the expression 15x - 25 using the greatest common factor (GCF), we need to find the largest number that divides both terms evenly. In this case, the GCF is 5. We can then divide each term by 5 to factor out the GCF:

15x ÷ 5 = 3x

-25 ÷ 5 = -5

Therefore, the factored form of the expression 15x - 25 is 5(3x - 5).

The expression 15x - 25 is factored by finding the Greatest Common Factor, which is 5, and then dividing each term by 5 to get the factored expression 5(3x - 5).

To factor the expression using the Greatest Common Factor (GCF), we need to identify the highest number that divides both coefficients in the expression 15x - 25. In this case, both 15 and 25 are divisible by 5, so 5 is the GCF of the expression. Applying the distributive property, we factor out the GCF:

Now, the expression 15x - 25 is fully factored as 5(3x - 5).

The monthly payment of the loan is  =$ 437.5

Step-by-step explanation:

Given , the simple interest due on a six month loan of $2500 is $125.

Total amount he paid =$ (2500+125)

                                    =$2625

The monthly payment of the loan is =$(2625÷6)

                                                                =$ 437.5

Answer:

9 feet

Step-by-step explanation:

Given:

A prism with a triangular base has a volume of 432 cubic feet.

The height of the prism is 8.

The triangle base has a base of 12 feet.

Question asked:

The height of the triangular base of the prism = ?

solution:

Volume of  triangular prism = [tex]Area of triangle \times height[/tex]

[tex]432 = Area of triangle \times8[/tex]

Dividing both side by 8

[tex]54 = Area of triangle[/tex]

[tex]54 =[/tex]  [tex]\frac{1}{2} \times base \times height[/tex]

[tex]54 = \frac{1}{2} \times12\times height\\54 = \frac{12}{2} \times height[/tex]

Multiplying both side by 2

[tex]108 = 12 \times height[/tex]

Dividing both side by 12

[tex]9 = height[/tex]

Thus, height of the triangular base of the prism is 9

The two numbers being asked in the question are 4 and -1.

This question can be solved using a system of linear equations. Let's call the first number x and the second number y.

From the first statement, we can create one equation: 2x + 4y = 4

From the second statement, we can create another equation: x - y = 5

To solve this system, we can use substitution or elimination method. If we multiply the second equation by 2, we get 2x - 2y = 10. Now, we can subtract the second equation from the first: (2x + 4y) - (2x - 2y) = 4 - 10, which simplifies to 6y = -6. Dividing both sides by 6, we get y = -1.

Substitute y = -1 into the equation x - y = 5, we get x - (-1) = 5. Therefore, x = 5 - 1 = 4.

So, the first number x is 4 and the second number y is -1.

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Final answer:

The simplified form of the expression (x-y)/(x+y) - (x+y)/(x-y) is -4xy / (x²-y²).

Explanation:

To simplify the expression (x-y)/(x+y) - (x+y)/(x-y), we need to find a common denominator and then combine the terms.

The common denominator for the fractions is (x+y)(x-y), which is the product of both denominators and simplifies to x²-y² due to the difference of squares.

Let's go ahead and combine the fractions over this common denominator:
 ((x-y)² - (x+y)²) / (x²-y²)

Expanding the numerators gives:
 (x² - 2xy + y²) - (x² + 2xy - y²) / (x²-y²)

Now, simplify by combining like terms:
 (x² - x² - 2xy - 2xy + y² - y²) / (x²-y²)

Cancelling out the x² and y² terms, we are left with:
 -4xy / (x²-y²)

Thus, the simplified form of the given expression is:
 -4xy / (x²-y²)

Answer:

1/12

Step-by-step explanation:

There are 3 ways to get two numbers whose sum is 4:

1 and 3, 2 and 2, and 3 and 1

So the probability is 3/36 = 1/12.

Answer:

C.

Step-by-step explanation:

Final answer:

To solve the system of equations x + 14y = 38 and x + 2y = 5, we used the elimination method to find x = -0.5 and y = 2.75.

Explanation:

Solving the System of Equations

The question requires solving a system of linear equations. The given equations are:

x + 14y = 38 (Equation 1)

x + 2y = 5 (Equation 2)

We can solve this system using the substitution method or elimination method. Let's use the elimination method:

Multiply Equation 2 by 7 to make the coefficient of x the same in both equations:

7x + 14y = 35 (Equation 3)

Subtract Equation 3 from Equation 1 to eliminate x:

(x + 14y) - (7x + 14y) = 38 - 35

-6x = 3

x = -0.5

Substitute x = -0.5 in Equation 2 to find y:

-0.5 + 2y = 5

2y = 5.5

y = 2.75

The solution to the system of equations is x = -0.5 and y = 2.75.

Final answer:

The largest possible value for y + z, with y < 80 and z ≤ 70, is 149, achieved by taking the maximum whole numbers within those limits: y = 79 and z = 70.

Explanation:

To find the largest possible value of y + z given that y is a whole number less than 80 and z is a whole number less than or equal to 70, we must choose the largest whole numbers that fit these conditions. For y, the largest whole number less than 80 is 79, and for z, the largest whole number less than or equal to 70 is 70 itself. Therefore, the largest possible value for y + z is 79 + 70.

The calculation is straightforward:

79 (maximum y) + 70 (maximum z) = 149

This is the largest sum of y + z based on the given conditions.

Answer:

28

Step-by-step explanation:

2 pills for 14days=28 pills in total

Answer: Yes

Step-by-step explanation: 7x and 9x are called terms and the numbers in front of the variables, +7 and +9 are called coefficients.

Because the variables, x and x are identical, the two terms in this problem are called like terms so yes, 7x and 9x are like terms.

See picture for answer and explanation.

We can completely define a line equation by only knowing two points on the line, so we will use that to find our line's slope.

The slope is positive. (We will see that the slope is equal to 1/5).

The first general rule is that, if the line, readen from lest to right increases, then the slope is positive. (Here by the description we know that it increases).

But let's find the slope to see this.

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then we can write the slope as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here we can use two of the given points to find the slope, I will use the first two: (-5, -1) and (0, 0)

We will get:

[tex]a = \frac{0 - (-1)}{0 - (-5)} = \frac{1}{5}[/tex]

So the slope is 1/5, which is positive.

Then the correct option is the first one.

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Answer: 16x² + 8x + 1

Step-by-step explanation:

(4x + 1)(4x + 1)

This expansion can be done in two ways either by direct expansion or by indirect expansion

(1) Direct expansion

(4x + 1)(4x + 1 )

4x X 4x + 4x X 1 + 1 X 4x + 1 X 1

= 16x² + 4x + 4x + 1

= 16x² + 8x + 1

(2) Method

This can be written thus:

(4x + 1 )(4x + 1 ) = (4x + 1 )²

= (4x)² + 2( 4x X 1 ) + 1²

= 16x² + 2(4x) + 1

= 16x² + 8x + 1.

(4x + 1)(4x + 1)

4x · 4x = 16x²

4x · 1 = 4x

1 · 4x = 4x

1 · 1 = 1

16x² + 4x + 4x + 1

16x² + 8x + 1

Answer:

There is no numbers shown

Step-by-step explanation:

No numbers shown

Answer:

you don't have a pic to show me... what numbers...???

Step-by-step explanation:

BOI

Answer:

  300

Step-by-step explanation:

12 and 25 have no common factors, so their least common multiple is their product:

  12·25 = 300

Matthew will do both again in 300 days.

Final answer:

To create an equation yielding a solution of 8, use a variable x and the fraction 1/4. By multiplying x by 32, the equation will result in 8.

Explanation:

To write a multiplication equation with one variable and one fraction yielding a solution of 8:

Start with the fraction 1/4.

Multiply that fraction by x = 32 to get a product of 8.

Answer:

point b

Step-by-step explanation:

i did it on imagine math

Answer:

point b is the correct answer

Step-by-step explanation:

cs it correct

Answer:

  B)  No line of symmetry is drawn,

Step-by-step explanation:

RW is the only line of symmetry. It in not drawn, and is not among the answer choices.

No line of symmetry is drawn.

I'm guessing you mean (6/7)x+(1/2)=7/8

Subtract 1/2 (also 4/8) from both sides:  (6/7)x=3/8

Divide both sides by 6/7: x=21/48=7/16

So x is 7/16

Hope this helped!

Answer:  15.67

Step-by-step explanation:

Pot Santa

Answer:

15.67

Step-by-step explanation:

focus only on the underlined area

15.666666666667

round the last 6 underlined is what we are going to use to round the one before it

5 or more goes up so the six is now rounded to a seven on that part leaving you with 15.67

Answer:

each box contained 18

Step-by-step explanation:

because 108 divided by the total number of boxes = 18

Final answer:

To determine how many cupcakes were in each of the 6 boxes for John's party with a total of 108 cupcakes, simply divide 108 by 6, resulting in 18 cupcakes per box.

Explanation:

The question asks us to determine how many cupcakes each box contained if there were a total of 108 cupcakes for John's birthday party, and 6 similar boxes were ordered in total. To find the answer, we divide the total number of cupcakes by the total number of boxes.

First, we know that the mother ordered 4 boxes initially and then ordered 2 more boxes, which gives us a total of 4 + 2 = 6 boxes. Then, we are given the total number of cupcakes, which is 108. To find out how many cupcakes each box contained, we divide the total number of cupcakes by the number of boxes:

108 cupcakes ÷ 6 boxes = 18 cupcakes per box

Therefore, each box contained 18 cupcakes.

Answer:

0.25

Step-by-step explanation:

number of trial = 12

probability of getting blue marbles = 3/12

0.25

Answer:

read explanation

Step-by-step explanation:

This won't give him the correct answer because if he substitutes zero into anything he will get -5.9. 0 multiplied by anything is 0 and if you put that into bot equations you get the same answer so it won't help him. he should instead try 1 or something like that.

Answer:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

Step-by-step explanation:

Given:

Number of fruits cans = 24

Number of veggies cans = 60

William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.

For this:

We have to find the GCF (greatest common factor) of 24 and 60.

GCF by listing out the factors method.

Factors of 24  : [tex]1,2,3,4,6,8,12,24[/tex]

Factors of 60 : [tex]1,2,3,4,5,6,10,12,15,20,30,60[/tex]

So,

The greatest common factor of [tex]24[/tex] and [tex]60[/tex] is [tex]12[/tex].

The number of bags William will used for equal distribution = [tex]12[/tex]

Now,

We have to distribute the veggies and fruits in equal number of cans to these [tex]12[/tex]bags.

Number of fruits cans used in each bag = [tex]\frac{24}{12} = 2[/tex]

Number of vegetables can used in each bag = [tex]\frac{60}{12} =5[/tex]

We can say that:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

Final answer:

By computing the greatest common divisor (GCD) of 24 and 60, it is determined that William can create 12 equal bags with each bag having 2 cans of fruit and 5 cans of vegetables.

Explanation:

The student is asking how to divide 24 cans of fruit and 60 cans of vegetables into bags such that each bag contains the same number of cans without any leftovers. This requires finding the greatest common divisor (GCD) of 24 and 60, which is 12. Therefore, William can make 12 bags, with each bag containing 2 cans of fruit and 5 cans of vegetables.

Answers are 1. a = 32, b = 2, 3. c = 4, 4. x = -3, 5. y = -7, 6. z = -2, 7. m = -7, 8. n = -4, 9. s = -3, 10. r = 5, 11. t = 3, 12. p = 2, 13. x = 9, 14. w = 6, 15. g = 1.5, 16. v = -16, 17. b = -6, 18. h = -5, 19. k = -2.5, 20. d = -3.5, 21. r = -8, 22. z = -9, 23. x = -7, 24. y = 3.5, 25. y = 9, 26. w = 8.

Step-by-step explanation:

Step 1; To solve the given equations we keep the unknown variable on one side while the known numbers are taken to the other side. If both sides are negative the answer has a positive value while if one side is positive and one side is negative, the answer is negative.

Step 2; Solve

1. a = 9/3=  3,

2. b = 14/7 = 2,

3. c = 36/9 = 4,

4. x = -15/5 = -3,

5. y = 28/-4 = -7,  

6. z = -16/8 = -2,

7. m = 28/-4 = -7,

8. n = 8/-2 = -4,

9. s = -21/7 = -3,

10. r = -25/-5 = 5,

11. t = -18/-6 = 3,

12. p = -18/-9 = 2,

13. x = 18/2 = 9,

14. w = 24/4 = 6,

15. g = 9/6 = 1.5,

16. v = -32/2 = -16,

17. b = -18/3 = -6,

18. h = -35/7 = -5,

19. k = 20/-8 = -2.5,

20. d = 14/-4 = -3.5,

21. r = -72/9 = -8,

22. z = 27/-3 = -9,

23. x = -35/5 = -7,

24. y = 28/8 = 3.5,

25. y = 81/9 = 9,

26. w = 16/2 = 8.

Answer: 3 2/7

Step-by-step explanation: Your answer would normally be 23/7. Just round and you should get 3 2/7. Also there is a fraction calculator online you could use, it shows you how to work out any problem dealing with fractions. Hope I have helped!  

The value of 3 × 2/7 as a fraction is 6/7.

A fraction describes some part of the total amount. Fractions are of two types one is a proper fraction and another is an improper fraction.

We know a fraction can be written as a form of p/q, where q ≠ 0.

p is the numerator and d is the denominator.

Given 3 × 2/7, we know 3 = 3/1 as every integer can be written as a rational number.

∴ 3/1 × 2/7

= 6/7.

We have to simply multiply the numerator with the numerator and the denominator with the denominator.

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