4. What is the largest number of identical cubes whose volumes are whole numbers (1,2,3,...) that would fit in a cube
whose volume is 1080 cm3? Show all your work.

Answer:

B

Step-by-step explanation:

Given

3x > 6 ( divide both sides by 3 )

x > 2

> is denoted by an open circle at 2 on the number line, meaning that x cannot equal 2. Since values are greater than 2 then numbers to the right of 2 are shaded.

This would be represented by graph B

Answer: B.) Open circle on 2 and all the numbers to the right are shaded

Step-by-step explanation:

The given inequality : [tex]3x>6[/tex]

Divide both sides by 3 , we get

[tex]x>2[/tex]

i.e. x is a numerical value strictly greater than 2 i.e. 2 is not-included.

When we plot this inequality on Number line , we starts with an open circle on 2 that signifies that 2 in not included and shade on the right side because x is greater than 2 which lies on the right side of 2 .

Hence, the correct answer is B.) Open circle on 2 and all the numbers to the right are shaded .

Answer: the answer is B. 5p

Step-by-step explanation:

just did it so i know its right:)

comment if so!

Since rectangle PQRS is rotated 90 clockwise about the origin what are the coordinates of R' are: A. R' (4, -1).

In Mathematics and Geometry, the rotation of a point 90° about the center (origin) in a clockwise direction would produce a point that has these coordinates (y, -x).

By applying a rotation of 90° clockwise about the center (origin), the coordinates of triangle A'B'C' are as follows;

(x, y)                               →            (y, -x)

Coordinate P (-3, -1)    →  Coordinate P' (-1, 3)

Coordinate Q (-1, -1)     →   Coordinate Q' (-1, 1)

Coordinate R (-1, -4)     →   Coordinate R' (-4, 1)

Coordinate S (-3, -4)     →   Coordinate S' (-4, 3)

Complete Question:

Rectangle PQRS is rotated 90 clockwise about the origin. What are the coordinates of R'?

Answer:15.6

Step-by-step explanation:

The area will be 2522.60 km^2 after 11 years

Step-by-step explanation:

First of all, we have to form a funtion for the given scenario.

Let

A be the initial area

r be the decrease rate

and t be the time

Let A_n be the area after t years

Then the function can be given by:

[tex]A_n=A(1-r)^t[/tex]

Given

A=4700 km^2

r=5.5%

t=11 years

Putting the value of rate

[tex]A_n=4700(1-0.055)^t\\=4700(0.945)^t[/tex]

The function can be used to calculate the reduced area

Putting t=11

[tex]A_n=4700(0.945)^{11}\\=2522.596[/tex]

Rounding off to nearest hundredth

[tex]A_n=2522.60\ km^2[/tex]

The area will be 2522.60 km^2 after 11 years

Keywords: Area, Functions

Learn more about functions at:

#LearnwithBrainly

Final answer:

To find the forest area after 11 years with an annual decrease of 5.5%, the exponential decay formula can be applied using the initial forest area and the given rate of decrease.

Explanation:

The question is asking how to calculate the decrease in the forest area over a period of time using a fixed percentage decrease per year. We'll use the formula for exponential decay to find the forest area after 11 years, which is expressed by A = P(1 - r)^t, where A is the amount after time t, P is the initial amount, r is the rate of decrease, and t is the time in years.

To compute the forest area after 11 years with an annual decrease of 5.5%, we'll plug P = 4700 km², r = 0.055, and t = 11 years into the formula. Therefore, the calculation is as follows:

A = 4700 × (1 - 0.055)[tex]11^{2}[/tex]

= 5,37,421.5

After calculating the above expression, we will get the reduced forest area in square kilometers.

the answer is 100....... ...

Answer:

Perimeter of trapezoid ABEF= 16x +4

Step-by-step explanation:

Since it is an equilateral triangle

AC = BC = BC = 7x - 2

Point E and F is formed at mid point of line AC and BC respectively.

Therefore AE = 1/2 x AC and BF = 1/2 x BC

Perimeter of trapezoid ABEF = AB + EF + AE + BF

AB = 7x - 2

EF = 2x + 8

AE = (7x - 2)/2

BF = (7x - 2)/2

Perimeter = 7x - 2 + 2x + 8 + (7x - 2)/2 + (7x - 2)/2

= 7x - 2 + 2x + 8 + 7x - 2

= 7x + 2x + 7x - 2 + 8 - 2

Perimeter of trapezoid ABEF= 16x + 4

Answer is 15.4 miles

Step-by-step explanation:

So she ran each day for a week and including the weekend is 7 days so if we do 7 times 2.20 it should equal 15.4 miles, also 2 1/5= 2.20 or 2.2 same thing.. Hope this helps, Also I hope I read the question right :/

Answer: 3 and 2/3

Step-by-step explanation: To subtract mixed numbers, first subtract the fractions.

Notice here however that we have 1/3 - 2/3 which will gives us a negative fraction. Since this will cause us a lot of trouble, instead, we can rewrite the first mixed number. We can do this by thinking of 6 and 1/3 as 5 + 1 and 1/3 or as 5 + 4/3 by changing 1 and 1/3 into an improper fraction.

So 6 and 1/3 can be written as 5 and 4/3.

Now we have 5 and 4/3 - 2 and 2/3.

Now, subtract the fractions.

So we have 4/3 - 2/3 which is 2/3. Then subtract the whole numbers. 5 - 2 is 3 and now we have the mixed number 3 and 2/3 which is in lowest terms.

Therefore, 6 and 1/3 - 2 and 2/3 = 3 and 2/3.

Since both fractions have common denominators we can just put them into improper fractions.

6 1/3 = 19/3

2 2/3 = 8/3

Now, we can subtract. (When you add or subtract fractions you only add or subtract the numerators, never the denominators.)

19/3 - 8/3 = 11/3

Turn into mixed number.

11/3 → 3 2/3

______

Best of Luck,

Wolfyy :)

Answer:

4 shelfs are needed

Step-by-step explanation:

24/6= 4

Answer:

314 of the people attending the fun fair are people living in the neighborhood

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Number of people attending the fun fair = 2,512

Fraction of people attending the fun fair that are students = 5/8

Fraction of people attending the fun fair that are parents = 1/4

Rest of the people attending the fun fair lives in the neighborhood

2. Let's calculate the number of students, parents and people living in the neighborhood

Students:

Fraction of people attending the fun fair that are students = 5/8

5/8 * 2,512 = 1,570

1,570 of the people attending the fun fair are students

Parents:

Fraction of people attending the fun fair that are parents = 1/4

1/4 * 2,512 = 628

628 of the people attending the fun fair are parents

People living in the neighborhood

2,512 - 1,570 - 628 = 314

314 of the people attending the fun fair are people living in the neighborhood

There's a 16% probability that the air-conditioning unit will take longer than 25 minutes to cool a 2000-square-foot home by 1 degree on a 95-degree day with 80% humidity, based on the empirical rule of normal distribution.

To find the probability of the air-conditioning unit taking longer than 25 minutes to cool the house 1 degree, you first have to understand that the situation described follows a normal distribution with a mean (μ) of 24 minutes and a standard deviation (σ) of 1 minute.

Using the Empirical Rule, also known as the 68-95-99.7 rule, we can assess probabilities for normal distributions.

According to the Empirical Rule, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.

Since we are interested in the time more than 25 minutes, we are looking at the area to the right of the mean plus 1 standard deviation (24 + 1 = 25 minutes).

Approximately 68% of the data falls within one standard deviation (between 23 and 25 minutes), so about 34% is below 25 minutes, and another 34% is above. However, we're interested in the portion beyond 25 minutes, falling in the tail.

Because 50% of the distribution falls above the mean (by definition of a normal distribution), and we account for the 34% within one standard deviation above the mean, this leaves us with 50% - 34% = 16% of data points (times in this case) falling beyond 25 minutes on a 95-degree day with 80% humidity.

Check the picture below.

Answer:

[tex](4-\sqrt{19},4+\sqrt{19)[/tex]

Step-by-step explanation:

we have

[tex]x^{2} -8x=3[/tex]

Divide the coefficient of term x by 2

[tex]-8/2=-4[/tex]

Squared the number

[tex](-4)^2=16[/tex]

Adds the number 16 to the both sides

[tex]x^{2} -8x+16=3+16[/tex]

[tex]x^{2} -8x+16=19[/tex]

Rewrite as perfect squares

[tex](x-4)^{2}=19[/tex]

take square root both sides

[tex](x-4)=(+/-)\sqrt{19}[/tex]

[tex]x=4(+/-)\sqrt{19}[/tex]

[tex]x_1=4(+)\sqrt{19}[/tex]

[tex]x_2=4(-)\sqrt{19}[/tex]

therefore

The solution set is

[tex](4-\sqrt{19},4+\sqrt{19)[/tex]

Answer:

its A

Step-by-step explanation:

Answer:

8 times more 8*2 1/2 = 20 pounds.

Step-by-step explanation:

Answer:

20 pounds of grass seed is needed for one acre.

Step-by-step explanation:

You can set up a proportion to solve:

[tex]\frac{2.5 pounds}{1/8 acre}[/tex] = [tex]\frac{x pounds}{1 acre}[/tex]

Cross multiply:

[tex]\frac{1}{8}[/tex]x = 2.5

Divide both sides by [tex]\frac{1}{8}[/tex] or multiply both sides by 8.

x = 20

The value of f(-3) will be zero

Step-by-step explanation:

Given ordered pair of function f is:

(7,0) )(-3,0) (2,0)(9,0)

The general form of ordered pair is (x,y) where x is the element of domain of function and y is the respective range value i.e. x is input and y is output

So,

In order to find the value of f(-3) we have to observe which ordered pair has -3 as input i.e. as first element of ordered pair

The required ordered pair is: (-3,0)

In the required pair, -3 is the input and 0 is the respective output

So,

The value of f(-3) will be zero

Keywords: Domain, Range

Learn more about functions at:

#LearnwithBrainly

One hot dog costs $1.75 and one hamburger costs $2.25

Step-by-step explanation:

Let,

Hot dog = x

Hamburger = y

According to given statement;

7x+2y=16.75   Eqn 1

2x+7y=19.25   Eqn 2

Multiplying Eqn 1 by 2;

[tex]2(7x+2y=16.75)\\14x+4y=33.50\ \ \ Eqn\ 3[/tex]

Multiplying Eqn 2 by 7;

[tex]7(2x+7y=19.25)\\14x+49y=134.75\ \ \ Eqn\ 4[/tex]

Subtracting Eqn 3 from Eqn 4;

[tex](14x+49y)-(14x+4y)=134.75-33.50\\14x+49y-14x-4y=101.25\\45y=101.25[/tex]

Dividing both sides by 45;

[tex]\frac{45y}{45}=\frac{101.25}{45}\\y=2.25[/tex]

Putting y=2.25 in Eqn 1

[tex]7x+2(2.25)=16.75\\7x+4.50=16.75\\7x=16.75-4.50\\7x=12.25[/tex]

Dividing both sides by 7;

[tex]\frac{7x}{7}=\frac{12.25}{7}\\x=1.75[/tex]

One hot dog costs $1.75 and one hamburger costs $2.25

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

By using a system of linear equations, the cost of one hamburger is computed to be $2.25 and the cost of one hot dog is computed to be $1.75.

This question involves the use of a system of linear equations to solve for the cost of one hot dog and one hamburger. Let us denote the cost of one hot dog as 'd' and the cost of one hamburger as 'h'. We are given two equations from the problem: 7d + 2h = 16.75 and 2d + 7h = 19.25. Now we can solve this system for values of 'd' and 'h'.

First, we can multiply the first equation by 2 and the second by 7 to make the coefficients of 'h' the same in each equation: 14d + 4h = 33.5 and 14d + 49h = 134.75.

Subtracting the first equation from the second gives us 45h = 101.25. Finally, dividing both sides by 45, we find that h = $2.25 which is the cost of one hamburger.

Substitute h = $2.25 back into the first equation: 7d + 2($2.25) = 16.75. Simplifying, we get 7d = $12.25, and dividing both sides by 7 gives us d = $1.75 which is the cost of one hot dog.

https://brainly.com/question/33609849

#SPJ3

Answer: GCF of 54 and 45: 9.

Step-by-step explanation: The factors of 54 include: 1, 2, 3, 6, 9, 18, 27, and 54. The factors of 45 include: 1, 3, 5, 9, 15, and 45. The largest common factor of 45 and 54 is 9.

Answer:

9 sides!

Step-by-step explanation:

Nonagon has it's each interior angle measure as 140 degrees.

Polygon with 9 sides!

Answer:

x = 11

Step-by-step explanation:

Given

9x - 43 = 5x + 1 ( subtract 5x from both sides )

4x - 43 = 1 ( add 43 to both sides )

4x = 44 ( divide both sides by 4 )

x = 11

Answer:

y-3=3/5x

Step-by-step explanation:

y-y1=m(x-x1)

Where m=slope and (x1, y1) is a point on the line.

m=(y2-y1)/(x2-x1)

m=(0-3)/(-5-0)

m=-3/-5

m=3/5

y-3=3/5(x-0)

y-3=3/5(x)

y-3=3/5x

(0, 3) is the y-intercept as it passes through y = 3 at x = 0, or the y-axis.

Slope:

[tex] \frac{y1 - y0}{x1 - x0} = \frac{3 - 0}{0 - ( - 5)} = \frac{3}{5} [/tex]

Equation of a straight line:

y = mx + c

m = slope (3/5)

c = y value of y-intercept (3)

Equation:

[tex]y = \frac{3}{5} x + 3[/tex]

Answer:

80 words. 4/5 of 100 is 80

Step-by-step explanation:

Answer: 80

5th of a minute is 12 seconds so 4/5 equals 48 seconds.

100 words per minute equals 1.66666667 words per second ( 100 divided by 60)

So 1.66666667 X 48 = 80)

Step-by-step explanation:

Answer:

4 times 7 time 4 = 112

Answer:

2y-4-6y-12=4

-4y=20

y= -5

Step-by-step explanation:

because (y+2)(y-2)=y^2-4

so we have the step to let the every part have the same denominator y^2-4

2(y-2)/(y+2)(y-2)  -6(y+2)/(y-2)(y+2)=4/(y-2)(y+2)

the denominators are the same so the equality .we just need the part over be the same 2y-4-6y-12=4

y= -5

Answer:

The surface area of right prism is 12 feet²  , option D

Step-by-step explanation:

Given as :

The measure of base = 4 ft

The height of base = 0.5 ft

The surface area of right prism = perimeter of base × height + 2 × base

Now ,

Perimeter of base = 4 + 4 = 8 ft

So, The surface area of right prism = 8 × 0.5 + 2 × 4

Or, The surface area of right prism = 4 + 8

∴ , The surface area of right prism = 12 feet²

Hence The surface area of right prism is 12 feet²  . Answer

Answer:

17.5 ft2

Step-by-step explanation:

Answer:

7 units

Step-by-step explanation:

count

Answer:

7

Step-by-step explanation:

We use the Pythagorean theorem with a=1 and b=7.

c ≈ 7

There is no illustration, so it is impossible to answer this question. I apologize.

Answer:

The total number of Green team members is 160.

Step-by-step explanation:

Given 90% of the total members present at the meeting which is 144.

Let the total number of members be x.

[tex]90\%\ of x=144\\\frac{90\times\ x}{100}=144\\9x=1440\\x=\frac{1440}{9}=160[/tex]

Hence we can say that, The total number of Green team members is 160.

Answer:

160

Step-by-step explanation:

Answer:

Improper Fraction- 5.9= 59/10

Mixed number-  5 9/10

Step-by-step explanation:

The mixed fraction of 5.9 is equal to  [tex]5\frac{9}{10}[/tex].

The given decimal number is,

5.9

We have to convert it into mixed fraction,

In order to get mixed fraction first of all convert it into fraction.

Since we know that,

A mixed fraction is one that is created by mixing a whole number and a proper fraction.

Now multiply and divide this with 10 we get,

5.9 = (5.9x10)/10

      = 59/10

Now proceed it by long division method,

10 ) 59 ( 5

   -  50

______

         9

Hence, the mixed fraction of the given number is,

⇒ 5.9 = [tex]5\frac{9}{10}[/tex]

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

Answer:

C. 36π

Step-by-step explanation:

The formula for volume of a sphere is:

V=⁴/₃πr³

We are given diameter: 6

To convert to radius, divide by 2.

6÷2=3. R=3

Plug in to formula

V=⁴/₃π3³

Simplify with multiplication

V=⁴/₃π27

V=36π

Answer:

a = 3

Step-by-step explanation:

b = 3

10*3 = 30

45-30 = 15

15/5 = a

a = 3

Answer:

15

Step-by-step explanation:

5a-10(3)=45

5a=45+30

5a=75

a=15