A 15 cm by 18 cm rectangular garden is to have a gravel path of uniform width bordering it. How wide is the path if the total area covered by the garden and path is 418 cm2

Answer:

Volume of tank = l×b×h

=3ft.×1ft.×2ft.

=6 ft³

Step-by-step explanation:

Hope it helps you. Please Mark me brilliant.

Grant should pay approximately $211.96 today for the annual membership, considering an interest rate of 10% and the option to pay in 12 monthly installments of $55 each.

To determine how much Grant should pay today for the annual membership, we need to calculate the present value of the 12 monthly payments of $55 each, considering an interest rate of 10%.

The present value (PV) can be calculated using the formula:

PV = C * (1 - (1 + r)^(-n)) / r

Where:

C = the monthly payment amount ($55)

r = the monthly interest rate (10% / 12 = 0.00833)

n = the number of payments (12)

Plugging in the values into the formula, we can calculate the present value:

PV = 55 * (1 - (1 + 0.00833)^(-12)) / 0.00833

PV ≈ 55 * (1 - 0.6806) / 0.00833

PV ≈ 55 * 0.3194 / 0.00833

PV ≈ 211.96

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Question:

A package of 8 pens costs $1.09. Milo’s work to find the unit price of the pack is shown below.

8p/$1.09 =

8÷$1.09  =

$7.34

Where did Milo make his first error?

Answer:

He wrote the unit rate incorrectly.

Step-by-step explanation:

Given

pens = 8

cost + $1.9

Required

Determine Milo's error

Comparing the calculation with Milo's:

We can see that he made wrong calculations i.e. in other words, he solved the required incorrectly

Answer:  brainiest?

Step-by-step explanation:

Name all angles when there are two parallel lines cut by a transversal?

Alternate interior angles

Corresponding angles

Vertically opposite

From figure 1,

Since the angles marked with colour fulfil the vertically opposite angles properties ,so

(2x+35)° = (8x-49)°

⇒(2x-8x)=(-49-35)°

⇒-6x=-84

⇒x = 14°

Hence , x = 14°

From figure 2,

Since the angles marked are corresponding angles,therefore on equating both angles we get

(10x-18)°=(15x-48)°

⇒(10x-15x)=(-48+18)°

⇒-5x = -30°

⇒ x = 6°

From figure 3,

Since the given two angles are alternate interior angles ,so

(7x+5)°=(12x-75)°

⇒(7x-12x)=(-75-5)°

⇒-5x=-80°

⇒x = 16°

From figure 4 ,

Since the two angles lies in a straight line ,so sum is 180°

(27x-21)°+(10x-16)°=180°

⇒37x -37° = 0

⇒ x = 1°

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Answer:

2 is the next number in the sequence

Step-by-step explanation:

in this pattern, you go down by one decimal spot ( zero)

this is a geometric sequence since there is a common ratio between each term.

Answer:

Straight angle.

Step-by-step explanation:

It is straight because <CED is a 180 degree angle which is straight.

Answer:

Obtuse

Step-by-step explanation:

Seeing that CEA and BED are acute, CEB has to be obtuse.

Answer:

15

----

153

15=6+3+1

153=18×17÷2

Answer:

  5(v -2)(v -4)

Step-by-step explanation:

You want to factor completely 5v^2-30v+40.

The coefficients in this quadratic have a common factor of 5. It works nicely to factor that out first.

  = 5(v² -6v +8)

The product of two binomial factors looks like this:

  (v -a)(v -b) = v² -(a+b)v +ab

When you compare this to the quadratic factor (v² -6v +8), you see that ...

  (a+b) = 6

  ab = 8

To find values for 'a' and 'b', it usually works well to start by factoring the product:

  ab = 8 = 1·8 = 2·4

The sums of these factor pairs are 1+8=9 and 2+4=6. The pair with a sum of 6 is what we're looking for. This means we can choose a=2, b=4 and our factorization is ...

  5v² -30v +40 = 5(v -2)(v -4)

__

Additional comment

There are some graphic aids that are sometimes used to help you find the 'a' and 'b' constants in the binomial factors. You may run across the "X" method, where the sum is put in the top (or bottom) of the X, and the product is put in the bottom (or top) of the X. Then the left and right sides are filled with the numbers having that sum and product.

That can help you focus on what you're doing, but the X fundamentally doesn't add anything to the solution process.

Quadratics with leading coefficient not 1

If the leading coefficient of the quadratic cannot be made to be 1, then a slight modification to the method shown here is needed. The factors of ax² +bx +c will be binomial terms generally of the form (px +q)(rx +s). If you play with all of the literals involved, you can convince yourself that you want to find factors of 'ac' that have a sum of 'b'. If those are 'u' and 'v', you can use them a couple of ways. One is to rewrite the quadratic as ...

  ax² +ux +vx +c

which you can factor by grouping:

  (ax² +ux) +(vx +c)

The other way to use these constants is to write the factorization as ...

  (ax +u)(ax +v)/a

Then the division by 'a' can be used to remove constant factors from one or both binomials to reduce them to "prime" factors.

y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given,

y-intercept 4 and slope -1/5

Now y=-1/5x+4

Hence y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

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Answer:

It has no solution.

Answer:

Actually i think it does have a solution, if it does it would be a=1/4, 3

If i'm wrong i am very sorry..... So, if that not right then your answer is that it has no solution.....

Stay safe and have a Merry Christmas!!!!!!! :D

Answer:

Last bullet point

Step-by-step explanation:

To get more than a dollar, Bob needs to earn at least 110 cents. Bob already has 20 cents. He needs to get 9 right to earn over a dollar.

If Bob gets 9 right, Bob would earn 90 cents more. 90 + 20 = 110 cents = $1.1

Algebraic Expression: An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms

Bob correctly answered 12 questions, so

Bob mis-answered 20 questions.

Let x be the number of questions that he correctly answered.

Let y be the number of questions that he answered incorrectly.

Bob's mother promised to give him 10 cents for each accurate response. This implies that he would receive $10x for correctly answering x questions.

Bob's mother informed him that she would deduct $5 for each incorrect response. This implies that if he answers y questions incorrectly, Bob will forfeit.

- $5y.

Bob completed 32 problems, which indicates that

x + y = 32

After solving 32 tasks, Bob received 20 cents, which indicates that

10x - 5y = 20 - - - - - - - - -1

When x = 32 - y is substituted into equation 1, it produces

10(32 - y) - 5y = 20

320 - 10y - 5y = 20

- 10y - 5y = 20 - 320

- 15y = - 300

y = - 300/ -15 = 20

Substituting y = 20 into x = 32 - y, it becomes.

x = 32 - 20 = 12

To get more than a dollar, Bob needs to earn at least 110 cents. Bob already has 20 cents. He needs to get 9 right to earn over a dollar.

If Bob gets 9 right, Bob would earn 90 cents more. 90 + 20 = 110 cents = $1.1

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(1) The area of the trapezoid is 192 square meters.

(2) The area of the circle is A = 144π square cm or A ≈ 452 square cm.

(3) The circumference of the circle is C = 24π cm or C ≈ 75 cm.

(4) The perimeter of the figure is ≈ 110 cm.

(5) The area of the figure is 321 square meters.

The measurement that indicates the size of a region on a plane or curved surface is called the area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

(1)

The height of the trapezoid is 12m and the lengths of the parallel sides are 11m and 21 m.

The area of the trapezoid is:

A = (1/2)(11 + 21)(12)

A = 192 square meters.

(2)

The area of the circle with a radius of 12 cm is:

A = π(12)²

A = 144π

A ≈ 452 square cm.

(3)

The circumference of the circle with a radius of 12 cm is:

C = 2π(12)

C = 24π

C ≈ 75 cm

(4)

To find the perimeter of the figure, first, find the circumference of the semicircle,

The diameter of the semicircle is 30 - 12 = 18.

Therefore, the radius is 18/2 = 9 cm.

Hence, the perimeter of the figure is:

12 + 20 + 30 + 20 + π(9)

≈ 110 cm

(5)

To find the area of the figure, first, find the area of the large horizontal rectangle, then the upper triangular part, and then the lower rectangular part, and add them together.

The area of the large horizontal rectangle is:
(24 + 5) × 8

= 232

The area of the triangular portion is:

(1/2)×(24 + 5 -10 -10)×12

= 54

The area of the small rectangular part is:
5×7

=35

Now, add all the areas together to find the total area of the figure:

232 + 54 + 35

= 321

Hence, the area of the fifth figure is 321 square meters.

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For the first exam we know that:

So, Ayden was 2.5 five standard deviation away from the mean:

For the second exam, we know that:

To do equivalently, Ayden score must be 2.5 standar deviations away from the mean, so:

Answer: x= 3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Since the marginal cost and average total cost are both constant at 2, the optimal price for the firm to set is $5.00.

[32] At p=6, quantity demanded equals 18 as below: When the price charged by the firm is greater than or equal to 5, then q = 24 - 4p​ for which p=6 satisfies the condition; thus, we can substitute the given value of p into the second equation and solve for q:

q = 24 - 4(6)q = 24 - 24q = 0

Thus, when p=6, the quantity demanded of the firm's product is 0.

[33] Suppose the firm's marginal cost and average total cost are both constant at 2.

The profit-maximizing price is where marginal cost is equal to marginal revenue. To obtain the marginal revenue function, first, we must obtain the inverse demand function and then take the derivative of it. For p ≤ 5, the demand function is q = 9 - p, and for p ≥ 5, the demand function is q = 24 - 4p​.

To find the inverse demand function, solve each of the above demand functions for p in terms of q. For p ≤ 5, p = 9 - q, and for p ≥ 5, p = (24 - q)/4.

For p ≤ 5:

R(q) = pq

= (9 - q)q

= 9q - q^2M

R(q) = dR(q)/dq = 9 - 2q

For p ≥ 5:

R(q) = pq

= ((24 - q)/4)

q = 6q - q^2/4M

R(q) = dR(q)/dq

= 6 - q/2

The optimal price charged by the firm is where marginal cost equals marginal revenue:

For p ≤ 5:

2 = 9 - 2q2 + 2q - 9

= 0

q = 7/2

p = 9 - q

= 9 - (7/2)

= 11/2

= 5.50

For p ≥ 5:2 = 6 - q/22 + q/2 - 6 = 0

q = 4p = (24 - q)/4 = (24 - 4)/4 = 5

Since the marginal cost and average total cost are both constant at 2, the optimal price for the firm to set is $5.00.

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The task is to find the area under the standard normal curve to the left of z = -1.5 and to the right of z = -1.1, rounded to four decimal places.

The area under the standard normal curve represents the probability of a random variable being less than or greater than a certain value. To find the area to the left of z = -1.5, we can look up the corresponding cumulative probability in the standard normal distribution table or use statistical software.

Similarly, to find the area to the right of z = -1.1, we can calculate 1 minus the cumulative probability to the left of -1.1. By subtracting the area to the right from the area to the left, we can determine the desired area under the standard normal curve.

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Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

The three greatest consecutive prime numbers where the sum is a multiple of 5 are 3, 5, and 7.

We have,

To find the three consecutive prime numbers with a sum that is a multiple of 5 and each less than 100, start by listing the prime numbers less than 100:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

Check each combination:

(2, 3, 5): Sum = 2 + 3 + 5 = 10 (which is a multiple of 5)

(3, 5, 7): Sum = 3 + 5 + 7 = 15 (which is a multiple of 5)

(5, 7, 11): Sum = 5 + 7 + 11 = 23 (not a multiple of 5)

(7, 11, 13): Sum = 7 + 11 + 13 = 31 (not a multiple of 5)

(11, 13, 17): Sum = 11 + 13 + 17 = 41 (not a multiple of 5)

(13, 17, 19): Sum = 13 + 17 + 19 = 49 (which is not a multiple of 5)

(17, 19, 23): Sum = 17 + 19 + 23 = 59 (not a multiple of 5)

(19, 23, 29): Sum = 19 + 23 + 29 = 71 (not a multiple of 5)

(23, 29, 31): Sum = 23 + 29 + 31 = 83 (not a multiple of 5)

(29, 31, 37): Sum = 29 + 31 + 37 = 97 (not a multiple of 5)

(31, 37, 41): Sum = 31 + 37 + 41 = 109 (which is not a multiple of 5)

(37, 41, 43): Sum = 37 + 41 + 43 = 121 (which is not a multiple of 5)

(41, 43, 47): Sum = 41 + 43 + 47 = 131 (not a multiple of 5)

(43, 47, 53): Sum = 43 + 47 + 53 = 143 (which is not a multiple of 5)

(47, 53, 59): Sum = 47 + 53 + 59 = 159 (which is not a multiple of 5)

(53, 59, 61): Sum = 53 + 59 + 61 = 173 (not a multiple of 5)

(59, 61, 67): Sum = 59 + 61 + 67 = 187 (not a multiple of 5)

(61, 67, 71): Sum = 61 + 67 + 71 = 199 (not a multiple of 5)

(67, 71, 73): Sum = 67 + 71 + 73 = 211 (not a multiple of 5)

(71, 73, 79): Sum = 71 + 73 + 79 = 223 (not a multiple of 5)

(73, 79, 83): Sum = 73 + 79 + 83 = 235 (which is a multiple of 5)

(79, 83, 89): Sum = 79 + 83 + 89 = 251 (not a multiple of 5)

(83, 89, 97): Sum = 83 + 89 + 97 = 269 (not a multiple of 5)

Thus,

The three greatest consecutive prime numbers where the sum is a multiple of 5 are 3, 5, and 7.

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3.31×\(10^-^5\) g is equivalent to 0.0331 μg which is obtained by using the conversion factor.

To convert from grams to micrograms, we need to consider the conversion factor that relates the two units. The prefix "micro-" represents a factor of \(10^-^6\), which means there are 1,000,000 micrograms in a gram. Therefore, to convert grams to micrograms, we multiply the given value by 1,000.

In this case, we have 3.31×\(10^-^5\) g. To convert this value to micrograms, we can multiply it by 1,000:

= 3.31×\(10^-^5\) g × 1,000

= 3.31×\(10^-^5\) × 1,000

= 3.31×\(10^-^5\) × \(10^{3}\)

= 3.31×\(10^(^-^5^+^3^)\)

= 3.31×\(10^-^2\)

= 0.0331 μg

Therefore, 3.31×\(10^-^5\) g is equivalent to 0.0331 μg.

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Answer:

According to the formula, the total cost (c) in pence is calculated by multiplying the number of units of electricity (n) by 17 and adding 12. In Freya's case, she has used 250 units of electricity, so we can plug this value into the formula to calculate her bill:

c = 17 * 250 + 12 = 4250 + 12 = 4262 p

Therefore, Freya's bill is 4262 p if she uses 250 units of electricity.

The given statement "A synonym for pyramidal plan is cubism, which also describes the artistic emphasis on geometric shape" is False

A Pyramidal Plan is a specific kind of floor plan with a triangular shape that has a broad base and converges to a point at the top, resembling the shape of a pyramid.

Pyramidal plans can be found in many different types of buildings and structures, including churches, temples, and other religious structures, as well as some secular structures.

Cubism is a style of art that emerged in the early twentieth century and was characterized by a focus on geometric shapes and forms.

The term "cubism" comes from the fact that many of the paintings and sculptures created in this style consisted of complex shapes that were organized into a grid-like pattern that resembled a series of cubes.

However, the given statement is false. Pyramidal Plan is not a synonym for cubism as pyramidal plan has nothing to do with art or geometry.

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Learning platforms that use algorithms to adjust the content that each student sees in order to maximize learning efficiency is called Adaptive learning

Adaptive learning platforms utilize algorithms to tailor the learning experience for individual students based on their needs, abilities, and learning progress.

By analyzing data and feedback, adaptive learning systems can dynamically adjust the content, pace, and difficulty level to optimize learning efficiency and personalize the educational journey for each student.

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Answer:

all of the answers are correct

Step-by-step explanation:

i took the test and got a hundred! it's a trick question

The statements included in the explanation on the horizontal line test are follows as a reference to the horizontal-line test, a statement that the function is one-to-one. and inverse is a function.

The horizontal line test is used to not only find out if a graph has an inverse function, but also if that inverse is also a function itself.

In order to pass the horizontal line test, the function has to be one-to-one which means that a horizontal line can intersect the graphed function at one point in all places.

If this happens, then there is an inverse and the inverse itself is a function.

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The complete question is

If the graph passes the horizontal-line test, then the function is one-to-one. Functions that are one-to-one have inverses that are also functions. Therefore, the inverse is a function. Compare your response to the sample response above.

Answer:

4/7 divided by 15 is 4/105. so no its not an improper fraction

Step-by-step explanation:

Answer:

977.65

Step-by-step explanation:

Add three amounts together divide that number by 3.

2932.95/3=977.65

Answer:

The average balance of the account is $977.65

Step-by-step explanation:

The first step is to add the three terms together.

1132.78 + 892.34 + 907.83 = 2,932.95

Now we take our sum and divide it by the number of terms we added together, which in this case is three.

2,932.95/3 = 977.65

So, our final answer would be $977.65

John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Let's start by setting up the equations to solve for this problem.

Let x be the amount of money John had initially.

Then, Mary had (384 - x) initially.

After John gave Php 36 to Mary, John had (x - 36) left and Mary had (384 - x + 36) = (420 - x).

We are told that Mary had three times as much money as John after this transaction, so we can write:

3(x - 36) = 420 - x

Simplifying this equation gives:

3x - 108 = 420 - x

4x = 528

x = 132

Therefore, John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Answer: Mary had Php 252 at first.

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Answer:

We can start by isolating the variable "h".

5 8 h + 1 1 2 = 5

Subtracting 11/2 from both sides:

5 8 h = 5 - 1 1 2

Simplifying:

5 8 h = 8 1 2

Dividing both sides by 5/8:

h = 8 1 2 ÷ 5 8

Converting the mixed number to an improper fraction:

h = (8 x 8 + 1) ÷ 5 8

h = 65/8

Now, we can convert this fraction to a mixed number:

h = 8 1/8

Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:

5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8

Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).

Step-by-step explanation: