Give all possible proportions using numbers 2,5,8 and 20

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

It is A mam/sir A should be 12-12

Answer:

Step-by-step explanation:

no because they don't have the same dominator

Answer:

325 Hamburgers.

Step-by-step explanation:

This may seem complicated at first due to us not knowing how much either hamburgers or cheeseburgers were sold, but we can easily set up an equation with variables and solve this using the numbers provided.

x = # of hamburgers sold.

x + 61 = # of cheeseburgers sold.

1) x + x + 61 = 711 (set both burgers equal to the total sold)

2) 2x + 61 = 711 (added common variables together)

3) 2x = 650 (negated the +61, subtracted it from both sides)

4) x = 325 (divided both sides by 2)

5) 711 - 325 = 386 (subtracted the x from the total number of burgers sold, to recieve the amount of cheeseburgers' tickets.

Thus,

Since there were fewer hamburgers sold, the smaller number (325) is the correct answer.

(Final Answer)

Cheeseburgers sold: 386

Hamburgers sold: 325

Total sold: 711

Answer:

diagonal is 11.14 cm

Step-by-step explanation:

We start by writing the equation for the width (w) in terms of the length (L):

w = 2 L - 8

from the area = w * L = 62

we replace w in it:    w * L = (2 L -8) * L = 62

2 L^2 - 8 L = 62

2 L^2 - 8 L - 62 = 0

extract 2 common factor:

2 (L^2 - 4 L - 31) = 0

Using quadratic formula we get:

\(L=\frac{4+/-\sqrt{4^2-4(1)(-31)} }{2} \\L=\frac{4+/-\sqrt{140} }{2}\\L=7.916\\or\\L=-3.916\)

So, we pick the positive answer L = 7.916 cm

Then we now know the with of the rectangle as well:

w = 2 * L - 8 = 2 * 7.916 - 8 = 7.832  cm

Now we estimate the diagonal of the rectangle using the Pythagorean theorem:

\(diag=\sqrt{7.916^2+7.832^2}\approx11.1356\,\,cm\)

which rounded to two decimal places is 11.14 cm

HIJK follows all the conditions of parallelogram, implies that HIJK is definitely a parallelogram.

A unique variety of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

Let HIJK is a quadrilateral,

If pairs of two side of quadrilateral HIJK is equal and parallel to each other,

Implies that,

HI = JK and IJ = HK

Also, HI || Jk and IJ || Hk.

If quadrilateral HIJK satisfy all the condition, then it is definitely a parallelogram.

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The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.

To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.

After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.

However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.

Therefore, this is the solution to the equation.

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When the table shows the proof of the relationship between the slopes of two perpendicular lines, the missing statement in step 2 is AB/CE = ED/BC.

In this question you apply the side-Angle-side similarity property that makes the two right triangles similar.

In this property, the lengths of the corresponding legs of the two right triangles are proportional.

Therefore, Leg AB corresponds to leg CE

Leg ED corresponds to leg BC.

Therefore, it should be noted that AB/CE = ED/BC.

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The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 2?

A. AB/BC = ED/CE

B. AB/CE = BE/ED

C. AB/BC = CE/ED

D. AB/CE = ED/BC

Answer:

AC = 13.3

Make proportional relationship:

\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)

Insert values

\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)

Cross multiply

\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)

Simplify

\(\rightarrow \text{AC}=13.3\)

Answer: 8 feet

Step-by-step explanation: The easiest way to solve this is to picture looking at it from the square side. What you are trying to find is the perimeter of the square side times 2 due to it having 2 loops of tape.

If one side of one box is 6 inches, and there are 2 boxes that make up one side, then the length of the squares side is 6 + 6 = 12. That makes the perimeter of the square 4*12, or 12 + 12 + 12 + 12 = 48 inches. This means one loop of tape is 48 inches long.

Because she uses 2 loops of tape, she used 48 * 2 = 96 inches, and accounting for the change in units from inches to feet: 1 ft = 12 in -> 96in/12 inches per foot = 8 feet of tape used.

Hope this helps!

The range is the best measure of variability for this data, and its value is 4.

The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).

The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:

Range = Maximum value - Minimum value = 4 - 0 = 4

Therefore, the range is the best measure of variability for this data, and its value is 4.

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Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:

Distribute

6(x+2)

= 6×x+6×2

So 6x+12

Answer:

1/3

Step-by-step explanation:

3 times 15 will get us close to 45 tenths without going over

x=3

This is further explained below.

Generally, In the field of mathematics, a formula is referred to as an equation when it is used to represent the equivalence of two expressions by connecting them with the equals sign (=). In other terms, an equation is an expression that is used in mathematics.

In conclusion, The equation for the word problem is given as

x*15 ≡45

Therefore

x ≡45/15

x=3

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Answer: 59.5

Step-by-step explanation: 29 3/4 times 2

I think

Answer:

D.    y = |x + 10.5|

Step-by-step explanation:

I got this answer correct

Step-by-step explanation:

\({ \tt{9 {x}^{2} + 11x + 5}} \\ = { \tt{(18x + 11i)(18x + 11i)}}\)

One of the equation which illustrates and meets the decimal conditions given is :

1.25 × 0.2 = 0.25

Let the first number  with two decimal places be x = 1.25

Let the second number with one decimal place be y = 0.2

Result = first Number × second number

Thus;

Result = 1.25 × 0.2

Result = 0.25

Evaluating the result of 0.25, it means that;

Number of digits = 3

Non - zero digits = 2

There are several values of x and y which will satisfy the 3 conditions given.

Therefore, the product of the values 1.25 and 0.2 gives the required output of the question.

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The value of the angle θ is approximately 24.2 degrees to 1 decimal place.

In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.

To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:

θ = arctan(23/52)

Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.

Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.

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Therefore , the solution of the given problem of unitary comes out to be 105 different meal combos that could be made.

By combining the information obtained using this variable technique with all supplementary data from two individuals who used a specific tactic, the job can be completed. This mean that, if indeed the desired outcome materialises, either the stated person will be recognized or, in actuality, the colour by both huge processes will be skipped. For forty pens, a refundable charge of Rupees ($1.01) might be required.

Here,

b. The following formula can be used to determine the total interest charged over the loan's term:

=>  total interest = (monthly payment X n) - P .

There have been a total of:

=>  120 = ten years times one year.

The entire interest paid is thus:

=>  ($3,943.80) (total monthly installments * n) - P

=>  (131.19 * 120) - 9900 (rounded to the nearest dollar)

So, rounded to the closest dollar, Reh will pay about $3,944 in interest for the duration of his loan.

=>  7 entree choices, 5 drink options, and 3 dessert options are available.

We must add the number of drink options, entree options, and dessert options together to get the total number of potential meal combinations:

=> 5 x 7 x 3 = 105

There are 105 different meal combos that could be made.

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Answer: The answer to your question is C. Brainliest?

Step-by-step explanation:

For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:

2/12 = (2 x 5) / (12 x 5) = 10/60

For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:

2/15 = (2 x 4) / (15 x 4) = 8/60

Now, we can add the two fractions:

10/60 + 8/60 = 18/60

Simplifying this fraction by dividing both numerator and denominator by 6, we get:

18/60 = 3/10

Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.

The answer is C. 0.3.

Step-by-step explanation:

To find the next term or number, we'll need to keep subtracting 5. So the formula is: n-5

Answer:

Step-by-step explanation:

-9/10 or -0.9

9514 1404 393

Answer:

  27/64

Step-by-step explanation:

The fraction being cubed is already in simplest form, so the cube is ...

  \(\left(\dfrac{3}{4}\right)^3=\dfrac{3^3}{4^3}=\boxed{\dfrac{27}{64}}\)

Answer: 45,000,000,000 dl

Step-by-step explanation:

10,000,000,000 dl=1 gl

4.5 gl * 10,000,000,000 dl/1 gl =

4.5 * 10,000,000,000 dl = 45,000,000,000 dl

Answer:

Step-by-step explanation:

Perimeter of a semicircle with diameter d = πd/2 + d