A rectangular prism has dimensions x units, 2x units, and x + 8 units.

Which expression represents the surface area of the prism?

8x + 16 square units
16x + 32 square units
10x2 + 48x square units
2x3 + 16x2 square units

Using proportions, it is found that the graph makes it appear that there are 5 times as many many students per teacher at North HS as there are at West HS.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The bar graph shows that:

Hence the proportion is:

5/1 = 5.

Which means that the graph makes it appear that there are 5 times as many many students per teacher at North HS as there are at West HS.

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Answer:

8x+5y

Step-by-step explanation:

Since two negatives equal a positive, 8x-(-5y) is 8x+5y.

Answer:

1372 cm^3

Step-by-step explanation:

\(\frac{4}{3} (3)(7^3)=\frac{4}{3} (3)(343)=\frac{4}{3} (1029)=1372\)

The circles whose shaded area is equivalent to 2/6 of the total area are:

a. The circle which is labeled 1/3 shaded.

b. The circle which is labeled 4/12 shaded.

Given, a circle is 2/6 shaded.

Six equal halves of a circle are separated, two of which are darkened. The circle is marked as shaded by two-sixths.

= 2/6

which means that the fraction can be simplified furthermore.

= 1/3

which means for every 3 parts, one part is shaded.

Therefore, we need to find the circle which has the shaded area equivalent to 2/6 of the total area, that is for every 3 parts of the parts, there should be one part shaded.

a. A circle is divided into 3 equal parts with 1 parts shaded

The circle is labeled 1 third shaded.

= 1/3 which is equivalent to the area of the circle 2/6.

b. A circle is divided into 5 equal parts with 2 parts shaded.

The circle is labeled 2 fifths shaded.

= 2/5 which is not equivalent to 2/6.

c. A circle is divided into 10 equal parts with 4 parts shaded.

The circle is labeled 4 tenths shaded.

= 4/10

= 2/5 which is again not equivalent to 2/6.

d. A circle is divided into 12 equal parts with 4 parts shaded.

The circle is labeled 4 twelfths shaded.

= 4/12

after simplifying it furthermore, we get:

= 1/3 which is equivalent to the area of the circle 2/6.

hence we get the desired results.

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Using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.

The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem.

In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.

A second-order equation of the form ax² + bx + c = 0 denotes a quadratic equation, where a, b, and c are real number coefficients and a 0.

So, we have the equation:

x²-3x+ 5 = 0

Now, solve it using the quadratic formula as follows:

x²-3x+ 5 = 0

a = 1

b = -3

c = 5

x = -(-3)±√(-3)² -4*1*5/2

Solve this further:

x = 3±√11/2

Therefore, using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.

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Correct question:

Solve x²-3x+ 5 = 0.

A.3+√-29 +VE/2 and 3- 2-29

B. 3+√29 and 3-√29

C. 3+√-11 and 3-√-11/2

D. 3+√11/2 and 3-√11/2

To find the mean simply add all the numbers, and then divide by how many numbers are.

We have 6 values (numbers)

-54 + (-32)+ (-70)+(-25)+(-65)+(-42)

-288

-288 /6 = -48

Answer:

12

Step-by-step explanation:

10x - 20 + 6x + 8 = 180

Supplementary angles

Answer:

x = 12

Step-by-step explanation:

The two given angles create a straight line (Definition of Straight Line). This means that:

\((10x - 20) + (6x + 8) = 180\)

First, combine like terms. Like terms are terms that share the same amount of the same variables:

\((10x + 6x) + (8 - 20) = 180\\(16x) + (-12) = 180\\16x - 12 = 180\\\)

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 12 to both sides of the equation:

\(16x - 12 = 180\\16x - 12 (+12) = 180 (+12)\\16x = 180 + 12\\16x = 192\)

Next, divide 16 from both sides of the equation:

\(\frac{16x}{16} = \frac{192}{16} \\x = \frac{192}{16}\\ x = 12\)

12 is your answer.

~

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4 * x = 12.44

4/4 * x = 12.44 / 4

x = 3.11

Answer:

x = 3.11

Step-by-step explanation:

To find the value of 'x', divide both sides of the equation by 4

12.44 = 4x

\(\dfrac{12.44}{4}=\dfrac{4x}{4}\\\\\\3.11=x\)

Answer: supplement <17

Step-by-step explanation:

1. 17 is greater

2. supplement is smaller

Answer:

Check pdf

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Answer: I'm pretty sure its a verb

Step-by-step explanation:

Answer:

Need more info

Step-by-step explanation:

Answer:

16,000 lbs.

Step-by-step explanation:

There are 2000 pounds in 1 ton:

1 ton = 2000lb

The dump truck can carry 8 tons in all. Multiply 8 with the amount of pounds 1 ton equates too:

8 tons x (2000lbs/1 tons) = 16000 lbs/8 tons.

16,000 lbs is your answer.

~

The graph of g(x) = 4x, is the translation of f(x) by subtracting 3.5 units, 2 of 3.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled.

As per the given question, the required solution would be as:

g(x) = 4x , is the translation of f(x) by subtracting 3.5 units, 2 of 3.

The graph of g(x) would be identical to the graph of f(x), but shifted 3.5 units downward, 3 of 3.

This is because the flat fee for the rental of bowling shoes is not present in the function g(x), so the y-intercept of the graph would be at (0,-3.5) instead of (0,0) in f(x) function.

The slope and the shape of the function will remain the same.

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A parallelogram with base of 3 m and perpendicular height of 3m have an area of 9m²

An equation is an expression that shows the relationship between numbers and variables using mathematical expressions. Equations are classified based on degree as linear, quadratic, cubic

The area of a parallelogram is the product of its base and its perpendicular height. It is given by:

Area = base * perpendicular height

If Height of parallelogram is 3m and Area is 9m². Let h represent the height, hence:

Area = base * perpendicular height

Substituting:

9 = 3 * h

h = 3 m

A parallelogram with base of 3 m and perpendicular height of 3m have an area of 9m²

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If there are 25 students in Period 3 and each student is offered 10 fries, then five students are offered five or fewer fries.

However, it's important to note that this answer is based on several assumptions and may not be relevant in all contexts.

To answer this, we need more information about the context in which the fries are relevant to the number of students.

However, assuming that the question is related to a hypothetical situation where the students are being offered fries, we can use some assumptions to provide an answer.

Assuming that each student is offered the same number of fries, we need to know how many fries are being offered in total to the 25 students. Let's say each student is offered 10 fries, then the total number of fries is 250 (25 students x 10 fries each).

Next, we need to determine how many students are fewer than six fries. If we assume that any student who is offered five or fewer fries is considered to be in this category, then we can count the number of students who fall within this range. If we assume that there are no partial fries, then we can count the number of students who are offered five or fewer fries, which would be a total of five students (assuming each student is offered 10 fries).

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Answer:

\(\textsf{A)} \quad -\dfrac{9}{5}\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.5 cm}\underline{Sum of an infinite geometric series}\\\\$S_{\infty}=\dfrac{a}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}\)

Given sum:

\(\displaystyle \sum^{\infty}_{n=1} -3\left(\dfrac{3}{8}\right)^n\)

Therefore, the first term in the series is:

\(a_1=-3\left(\dfrac{3}{8}\right)^1=-\dfrac{9}{8}\)

The common ratio, r, is:

\(r=\dfrac{3}{8}\)

Substitute the first term, a, and common ratio, r, into the formula:

\(\implies S_{\infty}=\dfrac{-\frac{9}{8}}{1-\frac{3}{8}}\)

\(\implies S_{\infty}=\dfrac{-\frac{9}{8}}{\frac{5}{8}}\)

\(\implies S_{\infty}=-\dfrac{9}{5}\)

Therefore, the sum of the given series is:

Answer:

assuming that 1 square is 1 ft, 22ft²

Step-by-step explanation:

4 + 8 + 10 = 22

Answer:

22cm²

Step-by-step explanation:

1 unit square = 1cm

Number of unit squares = 22

Area of square = side × side

=( 1×1) cm

Area of 1 unit square = 1cm²

Area of 22 unit squares = 22cm²

Hope it helps.

Answer:

6/5

Step-by-step explanation:

Remember:  to divide a number by a fraction, invert the fraction and multiply.

Here "the number" is 4/5 and you want to divide it by 2/3.  Invert the '2/3', obtaining 3/2, and then multiply the '4/5" by '3/2":

12/10 = 6/5 (answer)

Because x is the number of boxes in the shipment, we conclude that the correct option is "the maximum weight allowed in a shipment"

Remember that for a function f(x), the y-intercept is given by f(0).

In this case, the graph represents the amount of allowed weight remaining in a shipment depending on the number of boxes of screws included.

Then the variable x represents "the number of boxes of screws in the shipment".

So when x = 0, there are no boxes.

Then the y-intercepts represents the remaining weight when there are no boxes of screws, which would be all the allowed weight on the shipment.

The correct option is:

"the maximum weight allowed in a shipment"

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Answer:

A

Step-by-step explanation:

the maximum weight allowed in a shipment

Answer:

12 hours

Step-by-step explanation:

to find the answer to this one you divide 6 by 1/2

6/1/2=12

it takes 12 hours for the sea horse to travel 6 miles

hope this helps :D

The simultaneous equations 2x + y = 6 and x + y/2 = 3 are dependent because both equations are the same and they have an infinite number of solutions that satisfy both equations.

A system of simultaneous equations is called dependent if it has infinitely many solutions. In other words, one equation in the system can be obtained by adding or subtracting multiples of the other equation(s), or if all the equations represent the same line or plane in higher dimension.

We can write the equations as:

2x + y = 6...(1)

x + y/2 = 3...(2)

equation (2) can be rewritten as follows:

(2x + y)/2 = 3 {simplifying the left hand side to a single denominator}

2x + y = 2 × 3 {cross multiplication}

2x + y = 6

We can observe that equations (1) and (2) are the same. Any value of x and y that satisfies the equation 2x + y = 6 will also satisfy the second equation, x + y/2 = 3.

In conclusion, the simultaneous equations 2x + y = 6 and x + y/2 = 3 are dependent because both equations are the same, hence they have an infinite number of solutions that satisfy both equations.

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Answer:

A = 4

Step-by-step explanation:

a = 4 because 3 x 4 = 12 but if you don't know how to do these questions in the future what you do is you take the answer divided by the beginning number which will get you your letter number.I don't know how to explain this to make it make sense

Answer:

4

Step-by-step explanation:

all you have to do is divide \(12\) ÷ \(3\)

Answer:

y=3x.

Step-by-step explanation:

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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a. The number of ways that this is done, if the order of the choices is relevant is 12 ways.

b. The number of ways that this be done, if the order of the choices is irrelevant is 6 ways

Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects.

Combination formula

= n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

When the orders are relevant, this will be:

= 4! / (4 - 2!)

= 4! / 2!

= 12

When orders are irrelevant, this will be:

= 4! / (4 - 2!)2!

= 6 ways

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The set using Roster method is, D = {76, 90, 92, 94, 96}

The roster technique is defined as a method for displaying the elements of a set by listing the elements within brackets.

A roster method example is to write the set of numbers from 1 to 10 as

{1, 2, 3, 4, 5, 6, 7, 8, 9, and 10}.

Given:

Set D is the set of positive two-digit even numbers greater than 74

that do not contain the digit 8

First, Even numbers greater than 74 are

76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98.

Now, Even Number doe not contain 8 are 76, 90, 92, 94, 96.

Using Roster method the set is

D= {76, 90, 92, 94, 96}

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The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.

Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.

Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.

Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.

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