1/4 inch cubes were used to fill a prism. The dimensions of the prism are 1.5 inches x 1 inch x 3.75 inches. How many 1/4 inch cubes can fit into the prism?

A) 22.5
B) 360
C) 720
D) 180

Answer:

C.

Step-by-step explanation:

Opposite means that they are the same value away from 0 just on the opposite side.

4 is opposite to -4

and 7 is opposite to -7

Answer:

This means that there is no solution

Step-by-step explanation:

When solving for a system of linear equations, we are solving for the intersection point. If we cannot algebraically solve for a system, it automatically means you made a mistake or the lines are parallel.  Since the two lines are parallel, there is no intersection point, so there is no solution

Answer:

1099.6 m³

Step-by-step explanation:

The formula for the volume of a cylinder of radius r and height h is

V = πr²h.  In this case, the radius, r, is half the diameter, 10 m:  r = 5 m, and the height is 14 m.  

Thus, the volume of this cylinder is

V = π(5 m)²(14 m) = 1099.6 m³ (to the nearest tenths place).

The volume of the cylinder is approximately 1099.6 cubic meters to the nearest tenth place.

A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.

The formula for the volume of a cylinder is:

V = πr²h

where r is the radius of the base of the cylinder, h is the height of the cylinder, and π is the mathematical constant pi (approximately equal to 3.14159).

To find the radius of the cylinder, we need to divide the diameter by 2:

r = d/2 = 10m / 2 = 5m

Now we can plug in the values:

V = πr²h = π(5m)²(14m) = 350π m³

To approximate the value to the nearest tenths place, we can substitute the value of π as 3.14159 and use a calculator to evaluate the expression:

V ≈ 350 × 3.14159 ≈ 1099.56 ≈ 1099.6

Therefore, the volume is 1099.6 cubic meters.

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Answer:

The profit percentage in MP3 player is 9.37 %.

Step-by-step explanation:

Cost price of MP3 player is $320

Selling price of MP3 player is $350.

Here, selling price is more than cost price. It means there is profit in MP3 player.

Profit = SP - CP

Profit = 350 - 320

Profit = $30

Profit percentage is given by :

[tex]\% P =\dfrac{{SP}-{CP}}{{CP}}\times 100\\\\\% P=\dfrac{30}{{320}}\times 100\\\\\% P=9.37\%[/tex]

The profit percentage in MP3 player is 9.37 %.

Answer:

V = 77 m^3

Step-by-step explanation:

We want the volume of the cylinder

V = pi r^2 h

We know the diameter not the radius

r = d/2 = 7/2 = 3.5

V = 3.14 * (3.5)^2 (2)

V = 76.93 m^3

To the nearest cubic meter

V = 77 m^3

The answer is 77 m^3

Quick question though... Why say "easy" and ask for an answer?

Answer:

4 = x

Step-by-step explanation:

x³ - 5 = 59     Add five to both sides of the equation.

x³ = 64          Now find the cubed root of 64

∛64 = 4

x = 4

Answer:

42.7 cm sq.

Step-by-step explanation:

small/large = 16 / 122

16/122 = S / 56

S = 56 * (16/122) = 7.34...

however not in the choice

ah ha..

You meant :    12.2 sq. cm :  16 sq. cm  = small / large

so   12.2 / 16 = S / 56 cm

S = 42.7 sq. cm

The surface area of the smaller pyramid is approximately 42.7 cm. Answer: B) 42.7 cm

Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

If two pyramids are similar, their corresponding linear dimensions (height, slant height, etc.) are in the same ratio as their corresponding base dimensions.

Let the height of the larger pyramid be h, and let the height of the smaller pyramid be x, h, where x is the scaling factor.

The ratio of their base areas is given by:

(xh)² : h² = 16 : 122

Simplifying this equation, we get:

x²h² = 16/122 * h²

x² = 16/122

x = √(16/122)

Now we know that the linear dimensions of the smaller pyramid are

1/√(122/16) = √(16/122) times that of the larger pyramid.

So, the surface area of the smaller pyramid is:

(16/122) * (56 / (√(16/122))²) = 42.7 cm (rounded to one decimal place)

Therefore, the surface area of the smaller pyramid is approximately 42.7 cm. Answer: B) 42.7 cm

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Answer:

14 in

Step-by-step explanation:

breadth = 12/4 = 3

perimeter = 3+3+4+4 = 14

Answer:

438.86

Step-by-step explanation:

1. 457 x 0.99 = 452.43 - Decreased by 1%

2. We need to decrease 452.43 again but this time by 3% - 452.43 x 0.97

3. This gives us an answer of 438.8571

4. Finally we need to round this to 2DP, the 7 (438.8571) rounds up so the number to the left increases. This leaves an answer of 438.86

Hope this helps :D

Step-by-step explanation:

The following match

* a² + 2ab + b² and (a + b)²

* a² - b² and (a - b)(a + b)

* a² - 2ab + b² and (a - b)²

* a³ - b³ and (a - b)(a² + ab + b²)

* a³ + b³ and (a + b)(a² - ab + b²)

* y = 10x Direct variation

* xy = 18 Algorithm

* y = 4xz Joint variation

* y = 4x/z Inverse variation

Answer:

90

Solution:

The 1st choice is 1 of 10.

The 2nd is one of 9.

Therefore, 10 times 9= 90

Answer: 72

72/8 will get you 9. To see if the answer is correct Multiply 9*8.

Answer:

72

Step-by-step explanation:

c/8 = 9

Multiply each side by 8

c/8 * 8 =9*8

c = 72

Answer:

24/25

Step-by-step explanation:

3/5×8/5

24/25

Answer:

5 dollars

Step-by-step explanation:

Answer:

5 dollars

Step-by-step explanation:

Answer: C

Step-by-step explanation:

I went w/ my trusty C and got it right on e2020

All real values of x where 1 < x < 3. Therefore, option C is the correct answer.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

The positive regions of a function are those intervals where the function is above the x-axis.

It is where the y-values are positive (not zero).

Therefore, option C is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Which describes all of the values for which the graph is positive and decreasing?

A.all real values of x where x < −1

B.all real values of x where x < 1

C.all real values of x where 1 < x < 3

D.all real values of x where x > 3

Answer:

The only correct options are A, B and E.

Step-by-step explanation:

He buys [tex]1\frac{1}{2}[/tex] pounds of flour, 12 ounces of coconut, and [tex]1\frac{1}{4}[/tex] pounds of sugar.

We will add these together, but before that, we convert the 12 ounces to pounds, so that all the units are the same:

1 ounce = 0.0625 pounds

12 ounces = 12 * 0.0625 = [tex]\frac{3}{4}[/tex] pounds

He buys  [tex]\frac{3}{4}[/tex] pounds of coconut.

Adding all of them together yields:

[tex]1\frac{1}{2}[/tex] + [tex]\frac{3}{4}[/tex] + [tex]1\frac{1}{4}[/tex] = [tex]3\frac{1}{2}[/tex] pounds

Let us also convert to ounces:

[tex]3\frac{1}{2}[/tex]  / 0.0625 = 56 ounces

Let us also convert 1/2 pound to ounces:

1/2 / 0.0625 = 8 ounces

Hence, the total weight of ingredients that Dwayne bought is [tex]3\frac{1}{2}[/tex] pounds or 56 ounces or 3 pounds 8 ounces

Hence, options A, B and E are correct.

Answer:

15

Step-by-step explanation:

Answer:

3.75 in.

Step-by-step explanation:

Fiona must find the length indicated by the dotted line for the tiles she is installing. She knows that each polygon is a regular hexagon with a perimeter of 7.5 in.

3 regular hexagons are connected at their sides. A dotted line is drawn through the middle of the 3 hexagons. The top image is a reflection of the bottom image. The dotted line is the length of one side and the distance from one point of the hexagon to the opposite point.

What is the length of the dotted line? Round to the nearest hundredth.

2.50 in.

3.75 in.

5.00 in.

6.25 in.

The length of the dotted line in the hexagon is 3.75 cm.

A polygon with 6 sides is called a hexagon.

Finding the length across one entire hexagon :-

We can draw 6 small triangles from the center of the hexagon. The top vertex of this triangle will be 60°; this is because there are 6 angles, and 360.

The sum of the measures of the angles in a triangle is 180°; taking out the top angle, we have 180-60 = 120°.  

Since the triangle is isosceles, the base angles will be equal to 120/2 = 60

The bottom two angles will also be 60°.  

This makes the triangle equiangular, which also makes it equilateral; all 3 sides will be 1.25.

Hence,

This means across the dotted line we have 1.25+1.25+1.25 = 3.75.

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Answer:

47

Step-by-step explanation:

add all the numbers and divide them by however many numbers there are.

Answer: The mean is 47.

There are 5 numbers.

To find the mean of them we add them and divide the sum by 5.

Mean = [tex]\frac{\left(40+40+52+41+62\right)}{5}=\frac{235}{5}=47[/tex]

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Answer:

18,736.80

Step-by-step explanation:

Final answer:

To determine the original purchase price of the van, we apply the formula for exponential decay and find that Ethan paid approximately $10,100.45 for the van two years ago, taking into account a depreciation rate of 11% per year.

Explanation:

To find how much Ethan paid for the van, we need to work backwards from the current value and consider the annual depreciation rate.

To do this, we can use the formula for exponential decay which is final value = initial value × (1 - rate of depreciation)number of years. Given the final value ($8000) and the depreciation rate (11% or 0.11), we need to solve for the initial value, which represents the price Ethan paid for the van.

Let's set up the equation:

8000 = initial value × (1 - 0.11)2

8000 = initial value × (0.89)2

8000 = initial value × 0.7921

Initial value = 8000 / 0.7921

Initial value ≈ $10,100.45

Therefore, Ethan paid approximately $10,100.45 for the van.

Answer:

10 cm

Step-by-step explanation:

We want to find TS = ST

ST = CD  from the second statement of congruence

CD = IJ  from the first statement of congruence

We know IJ = 10

That means ST = 10

Answer:

55 words per minute

Step-by-step explanation:

165/3

Final answer:

The ratio of words typed per minute for Kale who typed 165 words in 3 minutes is calculated by dividing the number of words by the number of minutes, resulting in 55 words per minute.

Explanation:

To calculate the number of words typed per minute, you take the total number of words typed and divide it by the number of minutes it took to type them. In this case, Kale typed 165 words in 3 minutes, so the ratio of words to minutes is:

165 words / 3 minutes = 55 words per minute

This ratio indicates the typing speed, measured in words per minute (wpm), which is a common way to express typing efficiency.

Answer:

[tex]10\pi[/tex]

Step-by-step explanation:

The penguin swam around half of the perimeter, or circumference, of the pool. The first step is to calculate that. You can find the circumference of a circle by multiplying the diameter by pi. Therefore, the circumference of this island is 20pi. Half of that is [tex]10\pi[/tex] meters. Hope this helps!

Answer:

10 meters

Step-by-step explanation:

20 / 2 = 10

Answer:

B. 7 inches

Step-by-step explanation:

The area of a rectangle is given by

A = l*w  where l is the length and w is the width

56 = 8*w

Divide each side by 8

56/8 = 8w/8

7 =w

Answer: 7 inches

Step-by-step-Explanation: The formula for the area of a rectangle is below shown below.

Area = length · width

Since we know that the area of the rectangle is 56 in² and the length of the rectangle is 8 inches, we have 56 = 8 · w.

Now to find w or the width of the rectangle, we divide

both sides of the equation by 8 to get 7 = w.

So the width of the rectangle is 7 inches.

Notice that we include inches in our final answer because we were given inches as units in the original problem.

Also notice that we don't ever have to draw a picture of the rectangle in this problem. We can find our answer by simply using the formula for the area of a rectangle.

Answer:

[tex] df = n-1= 16-1 =15[/tex]

And the significance level is [tex]\alpha=0.05[/tex] and since we are conducting a bilateral test then the critical values are founded with the t distribution with 15 degrees of freedom and we got:

[tex] t_{\alpha/2}= \pm 2.131[/tex]

Step-by-step explanation:

Information given

[tex]\bar X=45[/tex] represent the sample mean

[tex]s=3.65[/tex] represent the sample standard deviation

[tex]n=16[/tex] sample size  

[tex]\mu_o =41[/tex] represent the value that we want to test

[tex]\alpha=0.05[/tex] represent the significance level for the hypothesis test.  

t would represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We want to determine the true mean is 41 per day, the system of hypothesis would be:  

Null hypothesis:[tex]\mu = 41[/tex]  

Alternative hypothesis:[tex]\mu \neq 41[/tex]  

We need to find the degrees of freedom first:

[tex] df = n-1= 16-1 =15[/tex]

And the significance level is [tex]\alpha=0.05[/tex] and since we are conducting a bilateral test then the critical values are founded with the t distribution with 15 degrees of freedom and we got:

[tex] t_{\alpha/2}= \pm 2.131[/tex]

Question:

Evaluate the expression 5^x - 3^x for x=2

Answer:

5^x - 3^x for x=2 is 16

Step-by-step explanation:

Given

5^x - 3^x

x=2

Required

Evaluate

When fazed with question like this all you need is to substitute the value of x (or any other variable{s} used) in the expression.

Recall that x = 2

So, you have to substitute 2 for x in 5^x - 3^x

This gives

[tex]5^2 - 3^2[/tex]

This can be further solved in 2 ways

1. Solve directly

[tex]5^2 - 3^2[/tex]

= [tex]25 - 9[/tex]

= 16

2. Expand using difference of two squares.

Difference of two squares is represented by

[tex]a^2 - b^2 = (a + b) (a - b)[/tex]

By comparison

[tex]5^2 - 3^2[/tex] becomes

[tex]5^2 - 3^2 = (5 + 3) (5 - 3)[/tex]

[tex]5^2 - 3^2 = (8) (2)[/tex]

[tex]5^2 - 3^2 = 8 * 2[/tex]

[tex]5^2 - 3^2 = 16[/tex]

For both ways, we'll arrive at the same answer.

Hence, 5^x - 3^x for x=2 is 16

Answer:

5^x - 3^x for x=2 is 16

Step-by-step explanation:

After a series of movements starting on the 10th floor, the elevator stopped on the 13th floor.

To determine which floor the elevator was on when it stopped, we need to perform a series of additions and subtractions based on the elevator's movements, as described:

The elevator started on the 10th floor.

It traveled up 4 floors: 10 + 4 = 14th floor.

Then down 6 floors: 14 - 6 = 8th floor.

Then down 2 more floors: 8 - 2 = 6th floor.

Finally, it went back up 7 floors: 6 + 7 = 13th floor.

After completing all these movements, the elevator stopped on the 13th floor.

Answer: B. 105

Step-by-step explanation:

      180 - 75 = 105

Hope this helps!

Answer: Mike started with 75 cards

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

The number of cards mike started with (x) plus the new cards added (7) must be divided by 2 (since his dog ate half of his collection).

That expression must be equal to the number of cards left (41)

Mathematically speaking:

(x + 7) /2 = 41

Solving for x:

x+7 = 41x2

x+7 = 82

x = 82-7

x = 75 cards

Feel free to ask for more if needed or if you did not understand something.