Figure A is a scale image of Figure B.

Answer:

x=31

Step-by-step explanation:

4x+6=134

   -6   -6

4x=124

4      4

x=31

Answer:

X=32

Step-by-step explanation:

134-6=128

128÷4=32

4(32)+6=134

a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².

b) The side length that gives the maximum area that the playground can have is x = 30 m.

c) The maximum area that the playground can have is 900 m².

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths, we have:

120 = 2(x + W)

60 = x + W

W = 60 - x

Therefore, the area of the rectangular playground (in terms of x) is given by this function;

A = LW

A(x) = x(60 - x)

A(x) = 60x - x²

Part b.

For the side length, we would take the first derivative of the area:

A(x) = 60x - x²

A'(x) = dA/dx

A'(x) = 60 - 2x

60 - 2x = 0

x = 60/2

x = 30 m

Part c.

W = 60 - x

W = 60 - 30

W = 30 m.

Therefore, the maximum area is given by;

A = 30 × 30

A = 900 m².

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To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.

From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.

To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.

We can use the formula for the nth term of a geometric sequence:

An = A1 * r^(n-1)

In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.

Since we know A3 and the common ratio, we can substitute these values into the formula:

60 =\(A1 * (160/60)^(3-1)\)

Simplifying this equation, we have:

\(60 = A1 * (8/3)^260 = A1 * (64/9)\)

To isolate A1, we divide both sides of the equation by (64/9):

A1 = 60 / (64/9)

Simplifying further, we have:

A1 = 540/64 = 67.5/8.

Therefore, the first term of the sequence (A1) is 67.5/8.

Now that we know A1 and the common ratio, we can find Az using the formula:

Az = A1 * r^(z-1)

Substituting the values, we have:

Az =\((67.5/8) * (160/60)^(z-1)\)

However, we now have the formula to calculate it once we know the position z in the sequence.

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The calculated length of the segment v is 267.1 cm

From the question, we have the following parameters that can be used in our computation:

V = 26 degrees

W = 80 degrees

w = 600 cm

See attachment for the triangle

Using the law of sines, the length of w is calculated as

sin(W)/w = sin(V)/v

So, we have

sin(80)/600= sin(26)/v

This gives

v = sin(26) * 600/sin(80)

Evaluate

v = 267.1

Hence, the length of the segment v is 267.1 cm

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A is the Point of representation of the colder midnight temperature in degrees Celsius.

The temperature in Quebec City was 5°C at 4 pm. By midnight, the temperature dropped 15 degrees.

To find out which point is a representation of the colder midnight temperature in degrees Celsius:

We know that the temperature dropped 15 degrees, and that it was initially of 5°C. So, by midnight, the temperature will be of -10°C (5-15=-10).

We also know that the distance between points is of 5°C. So, the point that we have to mark is point A, which represents -10°C.

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a. The areas of the square is 81m² and for rectangle is 72m²

b. The perimeter of the square is 40m

a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.

For a square;

Perimeter of square = 4L

36 = 4L

L = 9m

The area of the square will be L² = 9² = 81m²

For a rectangle;

The perimeter of rectangle is;

P = 2(L + W)

We can assume that two numbers which will represent the length and width are;

L = 12m, W = 6m or L = 6m, W = 12m

A = 12 * 6 = 72m²

b.

The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;

Perimeter of square = 4L

Area of square = L² = 100m²

L = 10m

The perimeter of the wire is 4(10) = 40m

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The sale price of the shoe is given as follows:

P3,436.

The sale price of the shoe is obtained applying the proportions in the context of the problem.

The initial price is of:

P 4,295.

The shoe is sold at a discount of 20%, meaning that the sale price is 80% of the initial price, and the value is given as follows:

0.8 x 4295 = P3,436.

The problem asks for the selling price of the shoe.

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Answer: Fred will be 3(x-5) years old in 8 years, which is 3x-15 years old.

We know that x-1=3x-15, so x=16.

Fred is 16 years old now.

Step-by-step explanation:

Fred's age four years ago was (x - 5), Fred will be (x+7) years old in 8 years. Fred is currently eight years old.    

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Given that Fred is (x-1) years old

i) Fred age 4 years ago

Subtract 4 years from the present age

x -1  - 4

x - 5

So, Fred's age 4 years ago is  (x - 5)  

ii) Add 8 years to the present age  

(x-1) + 8

(x+7)

So, Fred's age after 8 years from now is (x+7) years      

iii) By the given statement

⇒ (x+7)  = 4 [ x - 5 ]

We can then solve for x by expanding the right side of the equation:

⇒ x + 7 = 4x - 20

Then, we can combine like terms to get:

⇒ 4x - x = 20 + 7

⇒ 3x = 27

⇒  x = 9

Fred's present age = (x-1) = 9 - 1 = 8 years

Thus, Fred's current age is 8 years.  

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The question seems to be incomplete the correct question would be:

Fred is (x-1) years old now How old: (1) was he 4 years ago. (ii) will he be 8 years from now? (ii) is he now, if his age in 8 years time will be three times his age 4 years ago?​

Answer: C (A unimodal histogram, and the dotted line lands at 210)

Step-by-step explanation:

Khan Academy - “The sample size is reasonably large (n = 30 _> 30), so the sampling distribution of x will be approximately normal even though the population isn’t.”

Answer:

The answer is

Step-by-step explanation:

(6)(-1)(-3)(10)(-2)

Multiply the terms in the bracket

That's

(6)(-1) = - 6

(-3)(10) = - 30

So we have

(-6)(-30)(-2)

= 180( - 2)

= - 360

Hope this helps you

Answer:11

Step-by-step explanation:

Answer: The answer is 4 units to the left of 11

Step-by-step explanation: First you get the answer -4+11=7 so then on the number line you have to find which of those options gets you 7 which will be 4 units to the left of 11 since the left is going less then 11 in the end you will get 2 places more to the right of the 5 on the number line making the number 7 there.

Answer:

B, C

Step-by-step explanation:

to make a triangle the sum of lengths of any and every pair of sides must be longer than the third side. otherwise the end points cannot connect.

A

3+4<8 so, it cannot be a triangle.

B

7+6>12 true

7+12>6 true

6+12>7 true

C

5+11>13 true

5+13>11 true

13+11>5 true

D

4+6<12 so, it cannot be a triangle.

E

special case

4+6 = 10

but 4+6 is not longer than 10, so, all 3 lines would "fold" into one flat line. that does not count as triangle either, although I, personally, would consider it an "extreme triangle". but the general definition does not agree with me and requires the "longer than" condition.

Answer:

liam's answer is correct

Step-by-step explanation:

Answer:

Yes it is Liam

Step-by-step explanation:

Good job other guy! :)

Each shape is 1 whole. Estimate to divide each into equal parts (do not draw fourths). Divide each whole using a different fractional unit.

Images has been attached showing 3/4 of the shapes are squares.

Given that,
To draw a set of shapes where 3/4 of the shapes are squares.​

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
There are 3 squares and 1 nonregular quadrilateral, total = 4
the ratio of 3 squares to the total shapes = 3 / 4

Thus, Images has been attached showing 3/4 of the shapes are squares.

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The mass of the radioactive sample at the beginning of the 13th day of the experiment will be around 424.7 grams.

A metric weight measurement unit. A gramme is one thousandth of a kilogramme, or about 30 times smaller than an ounce. Leave a space between the word "gramme" (or the symbol "g") and the number that comes before it when a specific number is provided. In technical and scientific writing, the unit name and the number are either written together in full (for example, ten grammes) or a numeral is used with the sign ( e.g. 10 g ).

When we find the mass of radioactive, we obtain:

m₀=initial mass=1500 grams, r = 13% and n =12 days

⇒m = m₀ x \((1 - \frac{r}{100} )^{n}\)

⇒m =1500×\((1-\frac{13}{100}) ^{12}\)

⇒m=424.7 grams.

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Answer:

Given: A right triangle in which an altitude is drawn from the right angle vertex to the hypotenuse.

To find: 'x' the larger leg of triangle

Solution,

Using let rule for similarity in right triangle:

\( \frac{leg}{part} = \frac{hypotenuse}{leg} \\ or \: \frac{x}{27} = \frac{3 + 27}{x} \\ or \: x \times x = 27(3 + 27) \\ or \: x \times x = 81 + 729 \\ or \: {x}^{2} = 810 \\ or \: {x}^{2} = 81 \times 10 \\ or \: {x} = \sqrt{81 \times 10} \\ or \: x = \sqrt{81} \times \sqrt{10} \\ or \: x = \sqrt{ {(9)}^{2} } \times \sqrt{10} \\ \: x = 9 \sqrt{10} \)

Hope this helps...

Good luck on your assignment..

A 1.5 standard deviations above the mean IQ score is 122.5.

An expression that depicts the relationship between two or more numbers and variables is called an equation.

A dependent variable is one that depends on another variable, whereas an independent variable does not depend on any other variable for its value.

Giving the z score are:

z is calculated as (raw score - mean) / standard deviation.

with a standard deviation of 15 and a mean of 100. The z-score of 1.5 is equal to the IQ score that is 1.5 standard deviations above the mean, so:

1.5 = (x - 100)/15

x = 122.5

A 1.5 standard deviations above the mean IQ score is 122.5.

The Complete Question is IQ score.

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The correct total weight of the bags of granola is 8 1/4 pounds.

One thing that can be done to improve Roberto's reasoning is to ensure the accuracy of the calculations.

In his conclusion, Roberto added the weights of the bags of granola (2 1/2, 2 3/4, and 3) and claimed that the total weight was 8 1/4 pounds. However, the sum of these weights does not equal 8 1/4 pounds.

To address this, Roberto should recheck his calculations. Adding mixed numbers involves adding the whole numbers separately and then adding the fractions separately. In this case, 2 1/2 + 2 3/4 + 3 can be calculated as follows:

2 + 2 + 3 = 7 (sum of whole numbers)

1/2 + 3/4 = 2/4 + 3/4 = 5/4 = 1 1/4 (sum of fractions)

Thus, the correct sum is 7 + 1 1/4 = 8 1/4 pounds.

By double-checking the calculations and providing the accurate sum, Roberto's reasoning would be more precise, reliable, and free from errors.

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The probable question may be:

Roberto made a line plot to show the weight in pounds of the bags of granola in his store he concluded that the total weight of the granola was 2 1/2+2 3/4+3=8 1/4 pounds.

what is one thing that you could do to Roberto's Reasoning

Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

The slope of a line that is perpendicular to a line represented by the equation −3y = 8x + 6 is 3/8.

We know that,

The product of the slopes of two perpendicular lines is -1.

Let the slope of the given line and the line perpendicular to it be m and n respectively.

Hence, we can write,

m*n = -1

Writing the given line in slope-intercept form, we get,

y = (-8/3)x + (-6/3)

y = (-8/3)x - 2

Comparing it with the slope-intercept form, we get

y = mx + c

m = -8/3

Hence,

(-8/3)*n = -1

n = 3/8.

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Answer:

1.8

Step-by-step explanation:

7. The statement regarding the set is false.

8. The statement regarding the set is correct.

In problem 7, we are given the subsets of a set, and then the statement is that the subset {a,e} is contained into the set S.

The subset {a,e} is not one element of the set S, which are a, ... {e, empty}, hence the statement is false.

In problem 8, we are given the union operation, which has the result given by the elements that belong to at least one of the sets.

The empty set belongs to set T, hence it belongs to the union of sets S and T, and thus the statement is correct.

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Answer:

2/5

Step-by-step explanation:

The ratio is 5:2 , simplify an you'll get 1:2/5

The fraction of 1/2 is 1/3 and a tape diagram to represent 6.66666.7*\(10^{-1}\)

A representation of the relationship between numbers that resembles a piece of tape. In addition, length models, fraction strips, bar models, and strip diagrams are also used. A tape diagram is a rectangular image containing parts that aid in computations and resembles a piece of tape. It is a common graphic tool for figuring out ratio-based mathematics word problems. Rectangles are used in tape diagrams to graphically represent the components of a ratio. With tape diagrams, your youngster may see addition and subtraction shown visually. To begin, have your child practice RDWW (read, draw, write a number sentence, write an answer statement), and then teach them how to create a tape diagram to represent the solution.

Based on the given conditions,

Formulate

1/3/1/2

Divide a fraction by multiplying its reciprocal

2/3

Alternative forms

=66.6666667%

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The compound amount after 3 years is $2275.22.

In this case, you are given:

Principle = $2,000

rate = 0.0353

time = 3

You need to find A, the compound amount after 3 years.

To do this, you need to plug in the values of P, r and t into the formula and use a calculator:

A=P×e^rt

A=2000×(e)^0.0353×3

A≈2275.22

Therefore, by the compound interest the answer will be $2275.22.

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Answer:

All values for z are true.

Step-by-step explanation:

\(2z + 6 < 2(z + 7)\)

Expand:

\(2z+6<2z+2\times 7\)

\(2z+6<2z+14\)

Subtract 6 from both sides:

\(2z+6-6<2z+14-6\)

\(2z<2z+8\)

Subtract 2z from both sides:

\(2z-2z<2z+8-2z\)

\(0<8\)

Thus, all solutions for z are valid as 0 < 8 is true, and the value of z does not affect this end result of "0 < 8".