Jorge has 40 one inch cubes. What are 2 different ways that he can stack the cubes to make a rectangular prism?

Answer:

A

Step-by-step explanation:

Volume and capacity measure the same idea. They each describe how much something can hold. Volume measures it in cubic units while capacity measures it in ounces, liters, etc. It can be almost any measurement. They will not have the same measurement type or number since each measurement will give different numbers.

Answer:

Part a) The area of the shaded region is [tex]41\ ft^{2}[/tex]

Part b) The area of the nonshaded region is [tex]87\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The total area is equal to the area of the shaded region plus the area of the nonshaded region

step 1

Find the total area  

The total area is equal to the area of the rectangle

[tex]A=8(16)=128\ ft^{2}[/tex]

step 2

Find the area of the shaded region

The area of the shaded region is equal to the area of the  trapezoid minus the area of the smaller square

so

[tex]A=\frac{1}{2}[(8-2)+3)](8+2) -2^{2} \\ \\A=\frac{1}{2}[9](10) -4\\ \\A=41\ ft^{2}[/tex]

step 3

Find the area of the nonshaded region

The area of the nonshaded region is equal to the total area minus the area of the shaded region

so

[tex]A=128\ ft^{2}-41\ ft^{2}=87\ ft^{2}[/tex]

Answer:

approx 4130

Step-by-step explanation:

x * .92 = 3800

3800/.92 = 4130.43478261

4130 approx. attendance before drop

Answer: 4,130

Step-by-step explanation:

Hi, to answer this we have to multiply the attendance before the drop (x) by the percentage that assisted after the drop ( 1-0.08) . That expression must be equal to the attendance after the drop (3800)

Mathematically speaking:

8% = 8/100 = 0.08 (decimal form)

x (1-0.08)= 3800

x (0.92) =3800

Solving for x

x = 3800/0.92

x= 4,130

Answer:

17

Step-by-step explanation:

The top angle is 90 degrees, so I would assume that m<1 is 90 degrees.  Plugging this into the equation gives us 90 = 4y + 22.  Subtract 22 from both sides, and we get 68 = 4y.  Divide both sides by 4, and we get 17 = y.

Answer:

x = -1, 0 , 2

Step-by-step explanation:

The zeros of the function are the solutions to its factors. When you set each factor equal to 0 using the zero product property, the solutions for x are the zeros. The function has factors x, x-2, and x+1. Set each equal to 0 and solve for x.

x = 0

x - 2 = 0 has solution x = 2

x + 1 = 0 has solution x = -1

Answer:

  11/12

Step-by-step explanation:

2 3/4 = 2·(4/4) + 3/4 = (8/4) +(3/4) = (8+3)/4 = 11/4

Then your problem becomes ...

  (11/4) / 3 = (11/4) · (1/3) = (11·1)/(4·3) = 11/12

___

The numerator and denominator have no common factors, so this is lowest terms.

Final answer:

The quotient of 2 ³/₄ divided by 3 is 11/12, and it is already in the lowest terms.

Explanation:

To calculate the quotient of 2  ³/₄ divided by 3, we first convert the mixed number to an improper fraction. So, 2  ³/₄ is the same as 11/4 (because 2 x 4 + 3 = 11). Next, we divide this improper fraction by 3, which is the same as multiplying by the reciprocal of 3, which is 1/3.

11/4 × 1/3 = 11/12. This gives us the final quotient, which is already in lowest terms, as 11 and 12 have no common factors besides 1.

A cone that is sliced through the vertex would make the shape of a triangle.

You are told the h eight is 10 cm and the radius is 4 cm.

The radius would be half the base, so the base would be 4 * 2 =8 cm.

The area of the triangle is found by multiplying the base by the height, then dividing by two.

Area = 8 x 10 = 80

80 / 2 = 40 square centimeters.

Answer:

A cone that is sliced through the vertex would make the shape of a triangle.

You are told the h eight is 10 cm and the radius is 4 cm.

The radius would be half the base, so the base would be 4 * 2 =8 cm.

The area of the triangle is found by multiplying the base by the height, then dividing by two.

Area = 8 x 10 = 80

80 / 2 = 40 square centimeters.

Step-by-step explanation:

To solve the equation 4x - 11 = 3.2x + 13 and find the lesser solution, subtract 3.2x from both sides, simplify the equation, and solve for x. The lesser solution is x = 30.

To solve the equation 4x - 11 = 3.2x + 13 and find the lesser solution, we need to isolate the variable x. Here are the steps:

So, the lesser solution is x = 30.

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Answer:

x = 12, y = 0

Step-by-step explanation:

Use elimination.

24y = 0

y = 0

Then plug back into the second equation.

2x + 9(0) = 24

2x = 24

x = 12

Plug back into the first equation to check.

Answer:

The scale factor is 1/3

Answer:

y

Step-by-step explanation:

please give branleist

Graph-Y is decreasing from the beginning for all the values of 'x'.

The graph of an equation represents the nature of that equation by plotting the points.

Four graphs W, X, Y, and Z are given.

1. Graph-W is constant up to a certain values of 'x'. After that it is increasing for the rest of the values of 'x'.

2. Graph-X is increasing from the beginning. After that it is constant for certain values of 'x'. Then the graph is increasing.

3. Graph-Y is decreasing from the beginning for all the values of 'x'.

4. Graph-Z is increasing from the beginning. After that it is decreasing.

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The answer to what is -4,5 reflected across the x axis is 4,5 bwcause its like a opposite

The coordinate obtained when -4,5 reflected across the x axis is (-4,-5).

The process of reflecting, dilating, rotating or translating is called Transformation.

The coordinate is (-4,5)

When a coordinate is reflected over x axis, the coordinate changes in following form:

(x,y) -------> (x,-y)

The new coordinate will be (-4,-5).

To know more about Transformation

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Point B in the graph represents the relationship to Sidhaanth's savings.

A point on the graph can be read as a point (x, y) where y is the perpendicular distance of the point from the x-axis and x is the perpendicular distance of the point from the y-axis.

We are asked to tell the point that represents Sidhaanth's savings among the points A and B.

We analyze each point like this:

Point A:

The perpendicular distance from the y-axis (x) = 1 unit.

The perpendicular distance from the x-axis (y) = 28 units.

∴ The point is (1, 28) which says that Sidhaanth's weekly savings are $28.00. This is not true, as his weekly saving, as seen from the table is $7.00.

So, point A doesn't represent the relationship to Sidhaanth's savings.

Point B:

The perpendicular distance from the y-axis (x) = 2 units.

The perpendicular distance from the x-axis (y) = 14 units.

∴ The point is (2, 14) which says that Sidhaanth saves $14.00 every 2 weeks. This is true, as we can see from the table that his savings in the 2nd week are $14.00.

So, point B represents the relationship to Sidhaanth's savings.

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Answer:B

Step-by-step explanation:

Because the graph shows times 7 point be shows 2(weeks) and 14(dollars) and also that’s what the table shows

Answer:

B office space.

Step-by-step explanation:

What it says is Paul pays property tax. Property will be a building of some sort so office space is your answer.

Answer:

X-int: (2,0) , (-5,0)

Y-int: (0,-10)

Step-by-step explanation:

To solve for the x-int, set y to 0.

0= x^2 + 3x - 10

0= (x-2)(x+5)

x= 2, and -5

To solve for the y-int, set x to 0.

y= (0)^2 + 3(0) - 10

y= -10

THE ADVANTAGE IS: They can store more containers for higher stocks and space.

Answer:

[tex]\large\boxed{\dfrac{16}{81}}[/tex]

Step-by-step explanation:

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

r - radius

Circle A:

radius = 4 ft. Substitute:

[tex]A_A=\pi(4^2)=16\pi\ ft^2[/tex]

Circle B:

radius = 9 ft. Substitute:

[tex]A_B=\pi(9^2)=81\pi\ ft^2[/tex]

The ratio:

[tex]\dfrac{A_A}{A_B}=\dfrac{16}{81}[/tex]

Final answer:

To solve the system of equations y = x - 10 and y = 2x + 5, we equate both expressions for y, solve for x, and find x = -15. Substituting x back into either equation gives y = -25, making the solution (x, y) = (-15, -25).

Explanation:

The question seeks the solution of the system of equations given by y = x - 10 and y = 2x + 5.

To find the solution, one can use the substitution method, where the expression for y in one equation is substituted into the other equation.

This gives us two equations stated to have the same value of y, which means they can be set equal to each other: x - 10 = 2x + 5.

Solving this equation for x involves moving x terms to one side and constants to the other, yielding x = -15. Substituting x back into either original equation (e.g., y = x - 10), we find y = -25.

Thus, the solution to the system of equations is x = -15 and y = -25.

Numerical expressions contain numbers, while algebraic expressions contain variables and numbers.

Numerical Expression

"Difference" indicates that we'll be subtracting 13 from 48.

48 - 13 = 35

Algebraic Expression

Variables represent the unknown number, in this case the difference between 48 and 13. Let d represent the difference between the two.

48 - 13 = d

35 = d

Answer: x = -2

Step-by-step explanation:

The original problem is 3(14-5x) = 72. First, multiply 3 by the contents of the parentheses:

42 - 15 x = 72

Next, subtract 42 from each side:

-15x = 30

Now divide both sides by -15:

X = -2

Answer: -2

Step-by-step explanation:

First you begin by taking 3 and multiplying is by 14 and -5x:

(3 X 14) - (3 X -5x) = 72

42 - 15x = 72

Next, you subtract 42 from each side to isolate the variable.

-15x = 30

Next you divide each side by -15 to get the value of x.

X = -2

I hope this helps!

ANSWER

45 inches.

EXPLANATION

Let the perimeter of the smaller rectangle be x.

Then, the ratio of the perimeter of the smaller rectangle to the larger rectangle is

[tex]x:72=5:8[/tex]

We change the ratio to fraction to obtain,

[tex] \frac{x}{72} = \frac{5}{8} [/tex]

Multiply both sides by 72.

[tex]x = \frac{5}{8} \times 72[/tex]

[tex]x = 5 \times 9 = 45[/tex]

The perimeter of the smaller rectangle is 45 inches.

Answer:

45 inches

Step-by-step explanation:

The 72 inches is 8 parts of the ratio, hence

[tex]\frac{72}{8}[/tex] = 9 inches ← 1 part of the ratio

5 parts = 5 × 9 = 45 inches ← smaller perimeter

Answer:

32÷8

Step-by-step explanation:

Division is like repeated subtraction

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The problem that would repeatedly take away 8 from 32 is 32÷8

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The same is true for 25÷5, it is asking how many times can 5 be taken away from 25, hence repeated subtraction

Answer:

[tex]176\°[/tex]

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc it comprises.

so

In this problem

Let

x-----> the measure of an arc intercepted by an inscribed angle

[tex]88\°=\frac{1}{2}(x)[/tex]

[tex]x=2(88\°)=176\°[/tex]

Option (C) The intercepted arc of an inscribed angle measuring 88 degrees has a measure of 176 degrees, which is twice the size of the inscribed angle according to the Angular Measurement of Arcs property.

The measure of an arc intercepted by an inscribed angle is twice the measure of the inscribed angle. Given that the inscribed angle measures 88 degrees, the intercepted arc would therefore measure 176 degrees. This is because according to the Angular Measurement of Arcs property, an arc's measure is twice that of its corresponding inscribed angle (Theorem 7 in the reference material).

Answer:

Macy did not find the correct equivalent fraction with denominator 30.

Step-by-step explanation:

We need to compare two ratios 4:5 and 19:30.

First we will write them in the form of fraction:

[tex]\displaystyle\frac{4}{5} \text{ and } \displaystyle\frac{19}{30}[/tex]

Now, in order to compare these ratios, we fave to make their denominators equal that is find equivalent fraction with denominator 30.

[tex]\displaystyle\frac{4\times 6}{5\times 6} \text{ and } \displaystyle\frac{19}{30}[/tex]

[tex]\displaystyle\frac{24}{30} \text{ and } \displaystyle\frac{19}{30}[/tex]

Now, we have to compare the two fractions on the basis of their numerators.

It is clear that:

[tex]\displaystyle\frac{24}{30} > \displaystyle\frac{19}{30}[/tex]

Reflection? I'm not sure

It is reflection, I took a mini quiz on this

Answer:

P = 2X + 3Y

Step-by-step explanation:

Perimeter of a triangle is the sum of its three sides, so:

P is the side to find

4x + 3y = (X-Y) + (X+Y) + P

We can to eliminate  -y and y, so:

4x +3y = 2X + P

Reducing terms:

4x - 2x + 3y = P

P = 2X + 3Y

Best regards

The missing side of the triangle can be found by subtracting the known sides from the total perimeter. So, in this case, the measure of the missing side is 2x+3y.

The subject of this question is Mathematics and it's applicable for a High School level. The question is asking to find the measure of the missing side of a triangle with a given perimeter and two sides. In this scenario, the perimeter of a triangle is given as 4x+3y, and two sides of the triangle are mentioned as x-y and x+y.

The perimeter of a triangle is the sum of the lengths of all its sides. If two sides are given as x-y and x+y, and the perimeter is 4x+3y, then the missing third side can be determined by subtracting the lengths of the known sides from the total perimeter, i.e., the missing side = perimeter - (sum of known sides) = 4x+3y - [(x-y) + (x+y)].

Simplifying this, we get: missing side = 4x+3y - 2x = 2x+3y. So, the missing side of the triangle has the measure of 2x+3y.

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Answer: [tex]x=-5[/tex]

Step-by-step explanation:

To solve this exercise you need to remember the following:

[tex]e^{lnx}=e^{lny}[/tex] → [tex]x=y[/tex]

Therefore, keeping the above on mind, you can solve for x as following:

[tex]e^0=e^{ln(x+6)}[/tex]

[tex]e^0=x+6[/tex]

Remember that, by definition: [tex]a^0=1[/tex], then you have:

[tex]1=x+6[/tex]

Subtract 6 from both sides of the equation.

Then the value of x is:

[tex]1-6=x+6-6\\x=-5[/tex]

Answer:40

Step-by-step explanation:

Answer:

Answer you chosen in the option is correct!

Step-by-step explanation:

Here we can see that Remmi got x =3y -2

if we need to match it from given options we can take 3 as common factor from the right side ,Since we dont have 3 common in second term but using common number of property of numbers we can pull 3 from both terms because of which 3 is now in denominator of second term which is 2/3

therefore equation becomes  as third option so answer chosen by you is correct

Answer:

C.

Step-by-step explanation:

Answer:

I would say the answer is

1. reflection across m

2. rotation about a

3. congruent to

all transformations are congruent to each other unless it is a dilation.

Step-by-step explanation:

Answer:   The first transformation is a. a reflection across m.

The second transformation is b. a rotation about a.

∆ABC is c. congruent to​ ∆A'B"C".

Step-by-step explanation:

In the given picture, we can see that ΔABC is reflected across line m to create ΔA'B'C' such that all the corresponding points in both the triangles are equidistant from the line of reflection m.

∴ First transformation: Reflection across m.

After that, there is rotation of  ΔA'B'C' about point A' about some degrees such that, every corresponding points in both the triangles are equidistant from the point of rotation A'.

∴ Second transformation : Rotation about A'.

Since reflection and rotation are rigid transformations, therefore they produce only congruent figures.

Therefore, ∆ABC ≅ ∆A'B'C'

∆A'B'C' ≅  ∆A'B"C"

By law of transitivity of congruence,

∆ABC  ≅ ∆A'B"C"