Zachary brought 7 dozen rolls of toilet paper for the office. The rolls were divided equally into 4 boxes. How many rolls are in each box?

[tex]x^{2}[/tex]-4[tex]y^{2}[/tex] = 0

Solution

Here we have to find the factors.

[tex]x^{2}  - 4y^{2} = 0[/tex]

Here we can write 4y^2 as (2y)^2

[tex]x^{2}  - (2y)^{2}  = 0[/tex]

Now we have to use the formula, a^2 - b^2 = (a + b)(a - b)

Here a = x and b = 2y

Therefore, we get

(x + 2y)(x -2y)

Hence, the answer isC. (x + 2y)(x -2y)

Marisa had rounded 3.48 to 4 and times it to 7.33 which she rounded to 8

In fact 3.48 is closer to 3 we know this since the .48 of 3.48 s below .50 if it was .50 or above it would round to 4 but it doesn't the same applies to 7.33 so

it should be 3 x 7 = 21

If Marisa is going to estimate, then she needs to round each number. If she rounds to the nearest ones place, then she should have rounded 3.48 to 3 and rounded 7.33 to 7.

3 x 7 = 21

The answer is D because when you insert it into a calculator it gives you D. Yet, if you do it manually you still get the same number .

Answer:

The answer is D

Step-by-step explanation:

Hope I helped!! :)

three consecutive odd integers are : -17,-15,-13

13, paula has 6, myles has 1 more than her that mean he has 7

6+7= 13

Answer:

13

Step-by-step explanation:

We know that Paula has 6 video games and Myles has one more video game than Paula.

So the number of video games Myles has will be equal to 6 + 1 = 7.

Now that we know the number of games that Paula and Myles have, we can find the number of video games in all by simply adding the two numbers:

Total number of video games = 6 + 7 = 13

Therefore, Paula and Myles together have 13 video games.

Set up the equations:

two numbers: a and b

sum: a+b=21

quotient: a/b=2

(the last one means b=a/2)

combine them:

a+a/2=3a/2=21

a=14

and so

b=7

the two numbers are 14 and 7

Final answer:

To find two numbers given their sum and quotient, set up and solve a system of equations. In this case, the numbers are 14 and 7.

Explanation:

The sum of two numbers is 21 and their quotient is 2. To find the two numbers, we can set up a system of equations:

Let the two numbers be x and y. We have the equations x + y = 21 and x/y = 2.

Solve the system by substituting y = 21 - x into the second equation to get x = 14 and y = 7.

Therefore, the two numbers are 14 and 7.

Based on the analysis, the only relation that is a function is {(5, 0), (0, 5), (–5, –5)}.

A relation is considered a function if each input value (x-value) in the relation corresponds to exactly one output value (y-value).

1. {(5, 0), (0, –8), (5, –5)}

  In this relation, the input value 5 corresponds to both 0 and -5. Therefore, this relation is not a function.

2. {(5, 0), (0, 5), (–5, –5)}

  In this relation, each input value has a unique output value. For example, 5 corresponds to 0, 0 corresponds to 5, and -5 corresponds to -5. This relation satisfies the definition of a function since each input value has only one corresponding output value.

3. {5, 0, –8, –5}

  This is not a relation since it consists only of individual numbers and does not show any pairings between input and output values. Therefore, it is not a function.

4. {(5, 0), (–8, –5), (–8, 5), (–5, –8)}

  In this relation, the input value -8 corresponds to both -5 and 5. Therefore, this relation is not a function.

Based on the analysis, the only relation that is a function is {(5, 0), (0, 5), (–5, –5)}.

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Final answer:

The relation {(5, 0), (0, 5), (–5, –5)} is a function because each domain value maps to exactly one range value, which meets the definition of a function.

Explanation:

To determine which relation is a function, we must ensure that each input (or domain value) maps to exactly one output (or range value). A function cannot have one domain value paired with multiple range values.

Therefore, the relation that is a function is the second one: {(5, 0), (0, 5), (–5, –5)}.

B)The numbers are being divided by 10 repeatedly.

The numbers are:

7000

700

70

.7

.07

.007

(See it now?)

The number that is missing is 7

My conjecture is that 7 can’t be written in scientific notation.

Hope I helped!

Good Luck!

⛈

16.

4 ÷ 2 = 2

6 ÷ 3 = 3

so,

8 x 2 = 16

there are 9463.53 milliliters in 2.5 gallons of water.

Answer:

9,462,5 milimiters.

Step-by-step explanation:

In order to be able to calculate how many milimeters there are in 2.5 gallons of water we just have to convert the units, so we first have to convert from gallons to liters, there are 3.785 liters in each gallon, so we just do the convertion:

[tex]\frac{1 gallon}{3.785 liters}=\frac{2.5 gallons}{x}[/tex]

If we clear the x we get:

[tex]x=\frac{(3.785 liters)(2.5gallons)}{1 gallon}[/tex]

[tex]x=\frac{(9.4625 liters*gallons)}{1 gallon}[/tex]

[tex]x=9.4625 liters[/tex]

Now we just ocnvert to mililiters, since there are 1000 mililiters in a liter we just multiply:

[tex]\frac{1 liter}{1000mililiter}=\frac{9.462liters}{x}[/tex]

[tex]x=\frac{(9.4625 liters)(1000mililiter)}{1 liter}[/tex]

[tex]x=9462.5 mililiters}[/tex]

Answer:

This is called Transitive property of equality.

Step-by-step explanation:

If a quantity a=b and b=c, then we can say a=c, this property is called transitive property of equality.

The exact circumference of the Circle Measurements is 12π yards and the exact area is 36π square yards.

To find the exact area and circumference of the circle, we can use the formulas given:

Circumference of a circle = 2πr

Area of a circle = πr^2

Given that the diameter of the circle is 12 yards, we can find the radius by dividing the diameter by 2: r = 12 / 2 = 6 yards.

Now we can substitute the value of r into the formulas:

Circumference = 2πr = 2π(6) = 12π yards

Area = πr^2 = π(6^2) = 36π square yards

So, the exact circumference of the circle is 12π yards and the exact area is 36π square yards.

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Answer:

The return trip took 3 hours.

Step-by-step explanation:

Suppose, the time required to travel downhill is  [tex]t[/tex] hours.

Since the return trip was partly uphill, it took half an hour longer. So, the time required for the return trip will be:  [tex](t+0.5)[/tex] hours.

Given that, the speed for travelling downhill was 24 kph and the speed for travelling uphill was 20 kph.

We know that,  [tex]Distance= speed*time[/tex]

As, the distances traveled in both trips are equal, so the equation will be........

[tex]24t=20(t+0.5)\\ \\ 24t=20t+10\\ \\ 4t=10\\ \\ t=\frac{10}{4}= 2.5[/tex]

So, the time required for the return trip will be:  [tex](2.5+0.5)= 3[/tex] hours.

Answer:

It took 3 hours to return home.

Step-by-step explanation:

failed to evaluate 9 × - 8

2( - 3x + 1) = 9 × - 8

- 6x + 2 = - 72 ( subtract 2 from both sides )

- 6x = - 74 ( divide both sides by - 6 )

x = [tex]\frac{-74}{-6}[/tex] = [tex]\frac{37}{3}[/tex]

To compare the ratios 2 to 7 and 5:7 using the circles to model we need to make two circles first.

Then we need to make 7 parts of each circle.

For 2:7 ratio, we need to shade 2 parts of the total 7 parts of the circle.

For 5:7 ratio, we need to shade 5 parts of the total 7 parts of the circle.

So, the first circle represents  2:7 ratio and second circle represents  5:7 ratio.

Answer:

To compare the ratios 2 to 7 and 5:7 using the circles to model we need to make two circles first.

Then we need to make 7 parts of each circle.

For 2:7 ratio, we need to shade 2 parts of the total 7 parts of the circle.

For 5:7 ratio, we need to shade 5 parts of the total 7 parts of the circle.

So, the first circle represents 2:7 ratio and second circle represents 5:7 ratio.

Step-by-step explanation:

Answer:

(d) sin G = 15/17

Step-by-step explanation:

For angle G, opp = 15, adj = 8, hyp = 17.

cos G = adj/hyp = 8/17

sin G = opp/hyp = 15/17

Answer: (d) sin G = 15/17

The degree of a monomial is the highest power of a variable.

For A, the highest power is 5 ( a^5)

For B, the highest is 6 (a^6)

For C, the highest is 4 ( both a^4 and b^4)

For D, the highest is 2 ( all 3 variables have ^2)

B has the highest degree.

Answer:

B

Step-by-step explanation:

) because its biggerrrrrr

The greatest common factor between 10 and 24 is 2.

What is Greatest common factors?

The highest number that divides exactly into two more numbers, is called  Greatest common factors.

Given that;

The numbers are;

10 and 24

Now,

The factors of 10 = 1, 2, 5, 10

The factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24.

Clearly, The greatest common factor of the number 10 and 24 is highest number which is common in both factors.

Thus, The greatest common factor between 10 and 24 is 2.

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Final answer:

The function rule for the area of a rectangle is A = W² + 7W. When the width is 7 feet, the area of the rectangle is 98 square feet.

Explanation:

To write a function rule for the area of a rectangle, we need to express the area in terms of the independent variable, which in this case is the width (W). The length is given as 7 feet more than the width, so we can write the length as W + 7. The area (A) of a rectangle is given by the formula A = length × width. Substituting the values, we get A = (W + 7) × W = W² + 7W.

To find the area of the rectangle when the width is 7 feet, we can plug in W = 7 into the function rule. A = 7² + 7 * 7 = 49 + 49 = 98 square feet. Therefore, the area of the rectangle is 98 square feet when the width is 7 feet.

Answer:

657720 ways

Step-by-step explanation:

This is the number pf permutations of 4 from 30:-

=  30! / (30 - 4)!

= 30! / 26!

= 30*29*28*27

the answer is 869. hope you pass!

Let the Width be x cm

Then the length which is 5cm more than width must be (x+5) cm

Using the formula for the area = length* width

x(x+5) =50

[tex]x^2+5x =50[/tex]       (Distribute x on the parenthesis )

[tex]x^2+5x-50 =0[/tex]      (subtract 50 )

[tex](x+10) (x-5) =0[/tex]          (Factor)

[tex]x-5=0\\x+10=0[/tex]

we get

[tex]x=5[/tex]                      (Not x=-10 because negative side length not possible)

Width = 5 cm

Length = 5+5= 10 cm

Perimeter = 2(Length + width)

So

Perimeter = 2(10+5)

Perimeter = 2*15=30 cm

the length of a rectangle is 5 cm more than its width and the area is 50cm2 find the length, width, and the perimeter

L = W + 5 (5 cm more than its width)

Area = W * L

Substitute Area = 50 and L =  W + 5

50 = W ( W+5)

Distributive property

50 = W^2 + 5W

Subtract 50 from both sides

0 = W^2 + 5W - 50

Re-write

W^2 + 5W - 50 = 0

Factor

(W + 10)(W - 5) = 0

W + 10 = 0; W = -10

W - 5 = 0; W = 5

Dimension cannot be negative so W = 5 cm

L = 5 + 5 = 10 cm

Double check: A = 5 x 10 = 50 cm^2

Perimeter = 2(L + W)

Perimeter = 2(5 + 10)

Perimeter = 2(15)

Perimeter = 30 cm

Answer

L = 10 cm

W = 5 cm

P = 30 cm

Hope that helps

As the hint stated, the slope is -2 degrees.

So, the easiest way to make a equation is to use slope intercept.  

Y=mx+b

M is the slope, and B is the Y-intercept.

so.

Y = (-2)x+20

Y = -2x+20

Answer:

[tex]T=-2h+20[/tex]

Step-by-step explanation:

the temperature t in fish  starts at 20 degrees Fahrenheit at midnight when h=0.

So when h=0 the T=20 degree (0,20)

The equation of temperature is

[tex]T=m(H)+b[/tex]

Where m is the slope and b is the y intercept

y intercept is the initial degree , so b=20

m is the rate of change that is slope =-2

m=-2, b=20 , [tex]T=m(H)+b[/tex]

The equation becomes

[tex]T=-2h+20[/tex]

Answer: the answer this b

Step-by-step explanation:

Bc I said so lol

Final answer:

Ally's box has a total surface area of 594 square centimeters, calculated using the surface area formula for a rectangular prism: Surface Area = 2lw + 2lh + 2wh.

Explanation:

The surface area of a box can be calculated by finding the area of all six faces and adding them together. Since the box Ally is designing has dimensions of 12 cm long, 9 cm high, and 9 cm deep, we will have two faces for each dimension. To calculate the surface area of Ally's box, we use the formula:

Surface Area = 2lw + 2lh + 2wh

Where l is the length, w is the width, and h is the height of the box. Now, plugging in Ally's box dimensions:

Surface Area = 2(12 cm)(9 cm) + 2(12 cm)(9 cm) + 2(9 cm)(9 cm)

Surface Area = 2(108 cm2) + 2(108 cm2) + 2(81 cm2)

Surface Area = 216 cm2 + 216 cm2 + 162 cm2

Surface Area = 594 cm2

Therefore, the total surface area of Ally's box is 594 square centimeters.