Which of the following rectangular prisms will have a surface area of 24 square units? A rectangular prism with a length of 5, width of 3, and height of 1. A rectangular prism with a length of 2, width of 2, and height of 2. A rectangular prism with a length of 2, width of 1, and height of 2.

Answer:

Subtract 12 from the product of 5 and 3, then multiply by 8.

Explanation:

This is the only answer that accurately describes the given expression.

I hope this helps! ☺

The statement that describes the expression ( 5 x 3 - 12 ) x 8 is:

Subtract 12 from the product of 5 and 3, then multiply by 8.

Given,

( 5 x 3 - 12 ) x 8

We need to find the best statement that describes this expression.

Let A and B be any numbers.

Subtract:

= A - B

Multiply:

= A x B

Product:

= A x B

Difference:

= A - B

Find the statement that describes ( 5 x 3 - 12 ) x 8.

We have,

5 x 3 = 15

This is the product of 5 and 3.

5 x 3 - 12

This is the subtraction of 12 from the product of 5 and 3.

Or

The difference between the product of 5 and 3 and  12

(5 x 3 - 12 ) x 8

This is subtract 12 from the product of 5 and 3, then multiplying by 8.

Thus the statement that describes the expression ( 5 x 3 - 12 ) x 8 is:

Subtract 12 from the product of 5 and 3, then multiply by 8.

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Step-by-step explanation:

as we know that the power will be multiplied then

[tex] ({5}^{3} ) ^{6} [/tex]

[tex] {5}^{18} [/tex]

Hope it will help :)

Answer:

(-8,0)

Step-by-step explanation:

(-4×2 + 0, 0×2 + 0)

(-8,0)

Final answer:

The image of point L (-4,0) after a dilation with a scale factor of 2 from the center (0,0) is L' (-8,0).

Explanation:

To find the image of the point L (-4,0) after a dilation with a scale factor of 2 from the center (0,0), you multiply the coordinates of the point by the scale factor. Therefore, the coordinates of point L after dilation (L') would be (-4 × 2, 0 × 2) = (-8, 0).

The image of point L after the dilation is L' with coordinates (-8, 0).

Answer:

i got I got y=.57x + 2.3 for the line of best fit

I got about 12.56 for number two by plugging 18 into x

Step-by-step explanation:

I plugged it into my calculator

Answer:

The band needs to sell 4 more items from their fundrasier than the chorus needs to sell for their fundraiser.

Step-by-step explanation:

First we have to see how far each of the groups are from completing their goal.

For chorus, we get 2620-1225=1395 dollars.

For band, we get 2400-1314=1086 dollars.

Now, we see how long it takes for them to get to their goals.

For chorus, we get 1395/25 = 55.8. because they can't sell 0.8 of a set of candles, it round up to 56 candles.

For band, we get 1086/18.25 ≈ 59.5. because they can't sell half of a 3 gallon tubs of caramel popcorn, they have to sell 60.

So, when both of the funraisers meet their goals, the band needs to sell 4 more items from their fundrasier than the chorus needs to sell for their fundraiser.

Answer:

Step-by-step explanation:

Markup price= 15% of 500

[tex]=\frac{15}{100}*500\\\\=15*5\\[/tex]

= $ 75

Selling price = 500 + 75 = $ 575.00

Answer:

The answer is D

Answer:

D. The scuba diver was 35 meters below the surface when she started her ascent

Answer:

D) The scuba diver was 35 meters below the surface when she started her ascent

Step-by-step explanation:

It's not A, it looks like it at first but then if you follow through you'll see that it's not the case

Answer:

i believe the answer for your question is 80 cm.

Step-by-step explanation:

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to [tex]90[/tex] degree and the volume of the rectangular prism is [tex]60cm^{3}[/tex]

What is rectangle ?

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to [tex]90[/tex] degrees.

Here the size of one cube is [tex]1 centimeter[/tex].

As we know, the volume of the rectangle is:-

[tex]Volume=(Length)(Breadth)(Height)\\V=(4)(3)(5)\\V=60 cm^{3}[/tex]

Hence, the volume of the rectangular prism Wendy built​ is [tex]60cm^{3}[/tex].

To learn more about rectangle

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Answer:

Step-by-step explanation:

Cost = $500

Tax = 9.5%

Total amount spent =

5 x 9.5

= 47.5 + 500

= $547.5

Answer and Step-by-step explanation:

The journal entries are shown below:

On March 12

Account receivable A/c Dr $11,000

         To Sales $11,000

(Being the goods are sold on credit)

On March 11

Cash  $10,780

Sales discount  ($11,000 × 2%)          $220

       To Account receivable $11,000

(Being the cash received is recorded)

Only these two entries are recorded

Since the payment is made within 10 days so Grace hospital is eligible for the discount

There are 6 faces on a cube. Each face is equal to the area of one square.

Area of one square = 2.5 x 2.5 = 6.25 units^2

Surface area = 6.25 x 6 = 37.5 units^2

Hope this helps!! :)

Answer:

37.5

Step-by-step explanation:

Since it is a cube, all edges are 2.5. To find one side, you do 2.5x2.5. That gives you 6.25. And you have 6 sides. So 6.25x6 = 37.5.

(a-b)(7x-3y)

_________________

Answer:

1380 miles

Step-by-step explanation:

Area of the parallelogram = (base length) x (height)

Step-by-step explanation:

The parallelogram has 2 different sides.

To find:

The expression to calculate the area of parallelogram.

Base of the parallelogram= 5(1/4) in.

Height of the parallelogram= 4(1/5) in.

Area of the parallelogram= base x height

= 5(1/4) x 4(1/5) = 1 square inches.

So, the expression to calculate the area of the parallelogram is,

 Area = (base length) x (height)

Answer:

90pi [tex]in^{3}[/tex] or about 282.74 [tex]in^{3}[/tex]

Step-by-step explanation:

Volume is found by base area times height (B*h).

6/2 = 3

3^2 = 9

B: 9pi

9pi*1- = 90pi [tex]in^{3}[/tex] or about 282.74 [tex]in^{3}[/tex]

Answer:

282.6 in³

Step-by-step explanation:

Radius = 6/2 = 3

Volume = pi × r² × h

3.14 × 3² × 10

282.6 in³

Answer:

Part 1) [tex]m\angle AFE=55^o[/tex]

Part 2) [tex]m\angle EFB=125^o[/tex]

Step-by-step explanation:

Part 1) what is the measure of angle AFE

we know that

The measure of the interior angle is the semisum of the arches that comprise it and its opposite.

Note: In this problem the correct measure of arc EA is 40 degrees (see the picture)

so

[tex]m\angle AFE=\frac{1}{2}(arc\ EA+arc\ DB)[/tex]

substitute the given values

[tex]m\angle AFE=\frac{1}{2}(40^o+70^o)=55^o[/tex]

Part 2) what is the measure of angle  EFB?

we know that

[tex]m\angle AFE+m\angle EFB=180^o[/tex] ---> by supplementary angles (form a linear pair)

so

substitute the given value

[tex]55^o+m\angle EFB=180^o[/tex]

[tex]m\angle EFB=180^o-55^o=125^o[/tex]

The measure of angle AFE is 60 degrees and the measure of angle EFB is 10 degrees. This is derived from the property that the measure of an inscribed angle is half the measure of its intercepted arc.

The measure of an inscribed angle (an angle whose vertex is on the circle) is half the measure of its intercepted arc. The measure of angle AFE is half the sum of arc EA (50 degrees) and arc DB (70 degrees), while the measure of angle EFB is half the difference of arc EA and arc DB.

Therefore:

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Answer:

14.1 in³

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³.  Here the radius (r) is half the diameter, that is, half of 3 inches, or 1.5 inches.

Thus, the volume of the ball / sphere is V = (4/3)π(1.5 inches)³.  Find (1.5 inches)³ on a calculator (it is 3.375 inches³).  Then multiply this result by (4/3)π:

V = (4π/3)(3.375 inches³) = 14.1 in³

Final answer:

To find the number of cubic units the tennis ball occupies, calculate its volume using the formula V = (4/3) * π * r^3, where r is the radius. The tennis ball occupies approximately 0.157 cubic feet of space.

Explanation:

To find the number of cubic units the tennis ball occupies, we need to calculate its volume. The volume of a sphere can be found using the formula V = (4/3) * π * r^3, where r is the radius. The diameter of the tennis ball is 3 inches, so the radius is half of that, or 1.5 inches. Converting to the nearest tenth, we have a radius of 1.5 inches = 0.15 feet.

Substituting this value into the volume formula, we get V = (4/3) * π * (0.15)^3 = (4/3) * π * 0.0375 = 0.157 cubic feet. Therefore, the tennis ball occupies approximately 0.157 cubic feet of space.

Answer:

B

Step-by-step explanation:

Given the expression:

[tex]log_{1/2} 462 [/tex]

we want to find an equivalent expression.

Change of base formula:

[tex]log_{a} b = \frac{log b}{log a} [/tex]

where log means logarithm with base 10, also known as common logarithm.

Then, the expression of the problem is transformed into:

[tex]log_{1/2} 462 = \frac{log 462}{log (1/2)} [/tex]

Answer: $4,848.51

Step-by-step explanation:

A P E X

Answer:4848.51

Step-by-step explanation:

The equation for a vertical line passing through (-6,6) is x = -6. However, this line cannot be represented by a formula for a linear function in the form y = mx + b, as a vertical line has an undefined slope.

A vertical line in a coordinate plane, such as the one passing through point (-6,6), has an equation format of x = c where c represents a constant value. In this particular case, as the line passes through the x-coordinate of -6, the equation of the vertical line is x = -6.

As for creating a formula for a linear function whose graph is this given line, that is not possible. Linear functions can be represented by the slope-intercept form "y = mx + b" where m represents the slope and b is the y-intercept. However, a vertical line does not have a slope (it is considered undefined or infinite), and therefore can't be represented as a linear function in this form.

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Add the top and bottom together, divide by 2, then multiply by the height:

Area = (7.5 + 2.5)/2 x 2.5

Area = 10/2 x 2.5

Area = 5 x 2.5

Area = 12.5 square units.

Answer:

3. Terms

4. Like terms

5. Coefficient

Step-by-step explanation:

Please keep in mind that Brainly shouldn't be used to cheat on tests or exams.

Answer:

  -45/2 = -22.5

Step-by-step explanation:

The applicable rules of exponents are ...

  [tex](a^b)(a^c)=a^{b+c}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\dfrac{1}{a^b}=a^{-b}[/tex]

__

These rules let us rewrite the expression as ...

  [tex]\dfrac{3x^{\frac{7}{2}}y^{-4}}{\sqrt[4]{16x^2y^4}}=\dfrac{3}{16^{\frac{1}{4}}}\cdot x^{\frac{7}{2}-\frac{2}{4}}y^{-4-\frac{4}{4}}=\dfrac{3}{2}\cdot x^3y^{-5}[/tex]

Now, we know the values of a, b, c:

  a = 3/2, b = 3, c = -5

Their product is (3/2)(3)(-5) = -45/2 = -22.5.

Answer:

median =55

Step-by-step explanation:

The median is the middle number.  It will fall exactly between those two numbers.  Take the average

(51+59)/2 = 110/2 =55

The median is the middle number of a data set. We can find the median using two by the following.

51 + 59 = 110

110 / 2 = 55

The median is 55!

Best of Luck!

Answer:

Step-by-step explanation:

hello :

the area is : A=(b×h)/2   b=6     h=9

A= (6×9)/2 =27ft2

The formula for area of a triangle is 1/2(b x h).

First, we'll have to identify our base and height. Since the problem gives them to us, we can rewrite the formula as 1/2(6 x 9).

From there, we can solve by multiplying.

1/2(6 x 9)

1/2(54)

And finally, we can divide to find the area.

1/2(54)

27

Therefore the area of the triangle is 27 feet.

Hope this helps! :)

Answer:

Supplementary Angles, because according to definition: Supplementary angles are the pair of angles that add to 180º.

Answer:

adjacent, supplementary

Step-by-step explanation:

The angles have one common side but no common interior points, so they are adjacent angles.

Also, they form a linear pair whose measures has a sum of 180 degrees, so they are supplementary angles.

Answer:

B) 15.6

Step-by-step explanation:

Pythagorean thm:  [tex]a^{2} +b^{2} =c^{2} \\[/tex]

Substitute each of the lengths for the legs like so:

[tex]10^{2} +12^{2} = c^{2}[/tex]

then expand the exponent and you will get c= 15.62

Given:

Given that O is the center of the circle.

AB is tangent to the circle.

The measure of ∠AOB is 68° and we know that the tangent meets the circle at 90°

We need to determine the measure of ∠ABO.

Measure of ∠ABO:

The measure of ∠ABO can be determined using the triangle sum property.

Applying the property, we have;

[tex]\angle ABO+\angle BAO+\angle AOB=180^{\circ}[/tex]

Substituting the values, we get;

[tex]\angle ABO+90^{\circ}+68^{\circ}=180^{\circ}[/tex]

Adding the values, we have;

[tex]\angle ABO+158^{\circ}=180^{\circ}[/tex]

Subtracting both sides by 158, we get;

[tex]\angle ABO=22^{\circ}[/tex]

Thus, the measure of ∠ABO is 22°

The probability that three randomly chosen students were all born on a Wednesday is 1/343.

In a week, there are seven days, one of which is a Wednesday. Therefore, the probability that any one person was born on a Wednesday is 1/7. Assuming each student's birthday is independent of the others, the individual probabilities of each student being born on a Wednesday are multiplied together to find the combined probability of three students all being born on a Wednesday.

Thus, the probability of all three students being born on a Wednesday is:(1/7) x (1/7) x (1/7) = 1/343

So, the correct answer is d. 1/343.

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