5x-2y=11 and 3x+4y=4
Find the value of x and y in equation.​

For shape A the area to volume ratio is 101: 66

For shape B the area to volume ratio is 197117.7 : 207034

For shape C the area to volume ratio is 202.71 : 529.2

The area is the amount of space occupied by a two-dimensional flat object in a plane. Volume is defined as the space occupied by a three-dimensional object. The unit of area is in square units. The unit of volume is in cubic units.

For shape A, the area = 2(lh+lb+bh)

= 2( 2×12+12×5.5+5.5×2)

= 2 ( 24+ 66+ 11)

= 2 ( 101)

= 202m²

The volume of shape A = l×b×h = 2× 12× 5.5 = 132m³.

Therefore the ratio of area to volume of shape A = 202:132 = 101: 66

For shape B

The area of the cylinder = 2πr(r+h)

= 2×3.14× 28( 28+84.1)

= 197117.7m²

The volume of the cylinder =πr²h = 3.14×28²×84.1

= 207034

Therefore the ratio of area to volume = 197117.7 : 207034

in the third shape

The area = ½bh×2 + lb+lh+bh

=6.8×7.5+ 7.2×6.8+ 7.2×7.5+ 7.5×6.8

= 48.75+48.96+54+51 = 202.71

The volume of the shape= base area × height

= 7.2×6.8×7.5

= 529.2m⅗

Thereore the area to volume ratio is 202.71:529.2

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Step-by-step explanation:

Parallel lines cut by a transversal coloring activity is an activity that helps students understand the pattern of angles when parallel lines are cut by a transversal. The activity involves coloring the angles formed by the parallel lines and the transversal in different colors. This helps students identify the different types of angles formed and their relationships with each other.

Answer:

y=-2x-8.5

Step-by-step explanation:

y=mx+b

slope = -2

y=-2x+b

y intercept = -8.5

y = -2x-8.5

Answer:

Are male and female children treated differently in your family? Have your parents had different experiences for their sons and daughters? Write a narrative essay recounting one or more incidents that illustrate these differences (or lack of differences) . If you and your siblings are all the same gender, or if you are on only child, write about another family you know well.​

Step-by-step explanation:

Are male and female children treated differently in your family? Have your parents had different experiences for their sons and daughters? Write a narrative essay recounting one or more incidents that illustrate these differences (or lack of differences) . If you and your siblings are all the same gender, or if you are on only child, write about another family you know well.​

Answer:

Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a polynomial function for the volume V

Step-by-step explanation:

9v

The polynomial function for the volume V of the tray in terms of x will be;

⇒ 4x³ - 30x² + 54x

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

Lucy cuts 4 squares with side length x inch from the corners of a 6 inch by 9 inch cardboard rectangle.

She folds the remaining cardboard to make a tray that is x inch high

Now,

By the give condition we get;

Length of tray = 9 - 2x

Width of tray = 6 - 2x

Height of tray = x

So., The volume of the tray is expressed as;

Volume = x (9 - 2x) (6 - 2x)

             = x (54 - 18x - 12x + 4x²)

             = x (54 - 30x + 4x²)

             = 4x³ - 30x² + 54x

Thus, The polynomial function for the volume V of the tray in terms of x will be;

⇒ 4x³ - 30x² + 54x

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Answer:

2.25 cups per batch

Step-by-step explanation

13.5 divided by 6 is 2.25

Answer:

\(r=9a\cos(\theta)\)

Step-by-step explanation:

the answer is on study.com :|

The answer would be A

Answer:

1 ph=8

Step-by-step explanation:

Answer:

x^4n^4

Step-by-step explanation:

Answer:

\(n^{4} x^{4}\)  

I really hope this helps!

Answer:

35 min

Step-by-step explanation:

given that the total time spent is 140min

and that the time spent reading is x minutes

and also that the time spent doing home work is 2(x+5)

the time spent playing video game is 25

the expression for the total time is given as

total = reading +homework +video game

140=x+2(x+5)+25

solving for x we have

140=x+2x+10+25

140=3x+35

140-35=3x

105=3x

x=105/3

x=35

kenny spent 35 min reading

Time spend for reading is 35 minutes

Given that;

Total number of minutes Kenny have = 140 minutes

Time spend for reading = x

Time spend for homework = 2(x + 5) = 2x + 10

Time spend for games = 25 minutes

Find:

Time spend for reading

Computation:

Total number of minutes Kenny have = Time spend for reading + Time spend for homework + Time spend for games

140 = x + 2x + 10 + 25

3x + 35 = 140

3x = 105

x = 105 / 3

x = 35

So,

Time spend for reading = 35 minutes

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Answer: y= x + 4

Step-by-step explanation:

Answer:

The difference in unit price is $0.01/ounce

Step-by-step explanation:

A 16 -ounce bottle of Spring Water = $1.76

A 20 -ounce bottle of Fresh Water = $2.40

For the spring water, the unit price = 1.76/16 = $0.11/ounce

For the fresh water, the unit price = 2.4/20 $0.12/ounce

The difference in unit price is $0.01/ounce

The price of the dishwasher that is regularly at $519. 89 after a 70% discount in liquidation is calculated to be $155.97.

To calculate the discounted price, we subtract the discount amount from the regular price.

Given that the regular price of the dishwasher is $519.89 and the discount is 70% off, we can calculate the discount amount as follows:

Discount amount = 70% of $519.89

Discount amount = (70/100) * $519.89

Discount amount = $363.92

Subtracting the discount amount from the regular price:

Discounted price = $519.89 - $363.92

Discounted price = $155.97

Therefore, the price of the dishwasher after a 70% discount is $155.97.

The correct answer is c. $155.97.

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Answer:

x = 4

Step-by-step explanation:

4x - 8x = 12 - 7x

4x - 8x + 7x = 12

-4x + 7x = 12

3x = 12

x = 12/3

x = 4

Answer:

Step-by-step explanation:

4x -8x = 12 - 7x

-4x = 12 - 7x

3x = 12

x = 4

Answer:

\(g = \frac{b}{2} + 2 + h\)

Step-by-step explanation:

\(2(g - h) = b + 4 \\g - h = \frac{b}{2} + \frac{4}{2}\\g = \frac{b}{2} + 2 + h\)

Answer:

C

Step-by-step explanation:

calculate the slope m of the 2 points from the origin and equate, since they lie on the same line

m = \(\frac{y_{2}-y_{1} }{x_{2-x_{1} } }\)

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (2, k )

m = \(\frac{k-0}{2-0}\) = \(\frac{k}{2}\)

repeat with

(x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = k, 32 )

m = \(\frac{32-0}{k-0}\) = \(\frac{32}{k}\)

equating the 2 slopes

\(\frac{k}{2}\) = \(\frac{32}{k}\) ( cross- multiply )

k² = 64 ( take square root of both sides )

k = \(\sqrt{64}\) = 8

AnswerIts null

Step-by-step explanation:

bank

The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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Answer:

The intercept of a line is the y-value of the point where it crosses the y-axis.

Step-by-step explanation:

The car will cost $ 800 after a depreciation time of approximately 6 years.

Herein we are informed about the case of a car bought in 2011 at a cost of $ 36,000 and that depreciates linearly every year. Then, the depreciation function is described below:

c(t) = c' + m · t

Where:

If we know that c(0) = 36,000, c(4) = 12,000 and c(t) = 800, then the depreciation rate is:

m = (12,000 - 36,000) / (4 - 0)

m = - 24,000 / 4

m = - 6,000

800 = 36,000 - 6,000 · t

6,000 · t = 35,200

t = 35,200 / 6,000

t = 5.867

The expected depreciation time is approximately 6 years.

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Answer:

120 with 2 left over

Step-by-step explanation:

482/4 equals 120.5 so each basket gets 120 and then .5+.5+.5+.5= 2 whole extra apples

Answer:

120 & 5

Step-by-step explanation:

If the sample is not truly representative, the conclusion may not accurately reflect the actual average age of all the students at the college.

Based on the given information, it can be concluded that the average age of all the students at City College is likely around 20. However, it's important to note that this conclusion is only valid if the sample of 90 students is representative of the entire student population at City College. If the sample is not truly representative, the conclusion may not accurately reflect the actual average age of all the students at the college.

The average age in a sample of 90 students at City College is 20. However, based on this sample alone, it cannot be conclusively determined that the average age of all the students at City College is also 20. This is because the sample may not be fully representative of the entire student population. More information or a larger sample would be needed to make a more accurate conclusion about the average age of all students at City College.

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If the sample of 90 students is representative of the entire student population at City College, then we can conclude that the average age of all students is approximately 20 years old.

Based on the given information, the average age in a sample of 90 students at City College is 20.

To determine if this sample can be used to conclude the average age of all students at City College, we need to consider these terms:
Sample:

A subset of a population, which in this case is the group of 90 students at City College.
Population:

The entire group of students at City College that we want to make a conclusion about.
Average (Mean) Age:

The sum of ages divided by the total number of students, in this case, 20 years.
Representativeness:

How well the sample reflects the characteristics of the entire population.
If the sample of 90 students is representative of the entire student population at City College, then we can conclude that the average age of all students is approximately 20 years old.

However, if the sample is not representative, the conclusion may not be accurate.

To make a more accurate conclusion, it is important to ensure that the sample is representative by using a larger sample size or random sampling methods.

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30 words in 5 minutes following the arm break.

This technique allows us to calculate both the value of multiple units from the value of a single unit and the value of single unit from the value of multiple units.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique.

We typically utilize this technique for math calculations.

This approach will be helpful to you while tackling problems involving ratio and proportion, algebra, geometry, etc

According to our question-

45 words in five minutes before to breaking his arm

9*5=45 6*5=30

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according to the question,

given data in the question,

the type of rigid transformation is the equivalent of two across intersecting lines

Rotation is the process of changing the orientation of a shape by mirroring two intersecting line segments.

The intersection of the two reflection lines is the center of rotation.

An isometric drawing is a composite of two isometric drawings. The combination of two reflections on two parallel lines corresponds to translation.

The configuration of the two reflections is either translational or rotational. A translation occurs when a reflection is followed by a parallel reflection. Reflections following reflections from intersecting lines cause rotation

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The type of transformation that is equivalent to 2 reflections across intersecting lines is rotation

A slide or a shift is a translation. By executing two composite reflections along parallel lines, translations may be produced. Translations maintain orientation and are isometric.

An isometry is made up of two other isometries. The translation is equal to the combination of two reflections over two parallel lines.

according to the question,

the type of rigid transformation is the equivalent of two across intersecting lines

Rotation is the process of changing the orientation of a shape by mirroring two intersecting line segments.

The intersection of the two reflection lines is the center of rotation.

An isometric drawing is a composite of two isometric drawings. The combination of two reflections on two parallel lines corresponds to translation.

The configuration of the two reflections is either translational or rotational. A translation occurs when a reflection is followed by a parallel reflection. Reflections following reflections from intersecting lines cause rotation

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Answer:

x=1

Step-by-step explanation:

log_4(x + 3) + log_4x = 1

We know that loga(b) + loga(c) = loga(bc)

log_4(x + 3)x = 1

Raise each side to the base of 4

4^log_4(x + 3)x = 4^1

(x+3)x = 4

x^2 +3x = 4

Subtract 4 from each side

x^2 +3x -4 = 0

Factor

(x+4) (x-1) =0

Using the zero product property

x= -4  x=1

But x cannot be negative since logs cannot be negative

x=1

Answer:

A..  x = 1.

Step-by-step explanation:

log_4(x + 3) + log_4x = 1

log_4 x(x + 3) = log_4 4

Removing the logs:

x(x + 3) = 4

x^2 + 3x - 4 = 0

(x + 4)(x - 1) = 0

x = 1, -4.

We can ignore the -4 as there is no log of a negative.