grace read 1/3 of a book in the morning some at night and by the end of the day she still had 2/5 left how much did she read at night

By AA similarity Triangle PQR and TQS are similar.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.

Given:

As, PR || TS then

<RPQ = <TSQ (Alternate Interior Angle)

< <QTS = <QRP (Alternate Interior Angle)

So, Triangle PQR and TQS are similar by AA similarity criteria.

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After the raise, the salary of woman becomes $2700.

The answer was determined through simple arithmetic calculations.

This method of calculation can be applied to any similar scenario where an initial salary is reduced by a certain percentage and then increased by another percentage. The formula used can be generalized as:

Final Salary = (Initial Salary - Initial Salary * Reduction Percentage) * (1 + Raise Percentage)

It's a simple and straightforward method that can be easily applied to find the final salary in similar cases.

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Answer:

36 cm²

-------------------------

Rhombus has four equal sides. Since perimeter is 36 cm, each side is:

Area of rhombus is the product of base and altitude:

Answer: 36cm

Step-by-step explanation:

Answer: This question can be solved using exponential growth formula:

N = N0 * e^(rt)

Where N is the number of smartphones, N0 is the initial number, r is the growth rate, t is the number of years and e is the base of the natural logarithm (approximately equal to 2.718).

First, we need to find the growth rate:

r = (ln(N/N0)) / t

Using the data from 2010 and 2011:

r = (ln(72.9/39.99)) / 1

Next, we can find the year when the number of smartphones sold exceed 200 million:

N = 200 million

N0 = 39.99 million

t = (ln(N/N0)) / r

t = (ln(200/39.99)) / r

To find the year, we need to add t to the initial year 2010.

The number of smartphones the brand sold exceeded 200 million in the year 2023.

Step-by-step explanation:

Answer:

A. $6.50 + $7.25x ≤ $35.50

B.  4 games  

Step-by-step explanation:

x = number of games played

$6.50 + $7.25x ≤ $35.50

7.25x ≤ 35.5 - 6.50

7.25x ≤ 29

x ≤ 29/7.25

x ≤ 4

Answer: A = 24

Step-by-step explanation:

Hi, I think you may be looking for the Area of a square, or rectangle.

Step 1. A = bh

Step 2. A = (4 * 6)

Step 3. A = 24

Answer:

24

Step-by-step explanation:

plug in the values of b and h into the equation

Since b=4 we would put:

A=4*h

Now plug in h, which is equal to 6

A = 4*6

So, 4 multiplied by 6 equals 24. This means A is equal to 24

Answer:

MN ≈ 92.1

Step-by-step explanation:

given the figures are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{MN}{IJ}[/tex] = [tex]\frac{KL}{GH}[/tex] ( substitute values )

[tex]\frac{MN}{21}[/tex] = [tex]\frac{57}{13}[/tex] ( cross- multiply )

13 MN = 21 × 57 = 1197 ( divide both sides by 13 )

MN ≈ 92.1 ( to the nearest tenth )

The measure of the angle ∠PSR will be equal to 25 degrees.

One of the earliest areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

Given that In quadrilateral PQRS, the exterior angle at Q when PQ is extended measures 155 and PS = QR.

The measure of the angle PSR will be calculated as:-

∠Q exterior  = 155

∠PQR = 180 - 155

∠PQR = 25

∠PQR = ∠PSR = 25°

Therefore, the value of the angle ∠PSR is 25°.

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According to the question, the depth of the water is 11 feet.

The depth of something refers to how deep or far down it goes. It can refer to physical measurements such as the depth of a lake or ocean or the depth of a hole, or to metaphorical measurements such as the depth of knowledge or the depth of emotions. In terms of physical measurements, depth is usually referred to in terms of length or distance.

Let x be the depth of the water

The reed is 11 feet tall (10 feet in the water + 1 foot above the water)

The circumference of the pool is 10π feet

The volume of water in the pool = (circumference x depth) = 10πx

The volume of the reed = (area of base x height) = π(5²) x 11 = 275π

The total volume of the pool and reed = 10πx + 275π

10πx + 275π = 10π(11)

10πx = 110π

x = 11

Therefore, the depth of the water is 11 feet.

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The solution is, 35, lists of three elements can we make using the numbers 1, 2, 3, 4, and 5, if repetition is allowed.

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

here, we have,

Given data:

{1 ,2, 3 ,4, 5}

Formula for combinations is used since the order does not matter and repetition is allowed.

nCr = (n + r -1) /(r! * (n-1)!)

where n is the total number of items and r is the items to be picked

now, we get,

5C3 = (5 + 3 - 1)! /(3! * (5 -1)!

5C3 = 7!/(3! *4!) Simplifying the factorials)

5C3 = 5040/(6*24)

5C3 =5040/144

5C3 = 35

Hence, The solution is, 35, lists of three elements can we make using the numbers 1, 2, 3, 4, and 5, if repetition is allowed.

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Answer:

10+5v=70

Step-by-step explanation:

this is because you need to consider the outright monthly cost of $10 first. then you don't know how many visits you'll need so you have to fill in v and multiply it by the cost per visit. and it must equal 70 so that it is equal to the other membership.

The equation 70 = 10 + 5v is used to determine the number of visits per month needed for two membership types to cost the same. Solving the equation would provide that 12 visits a month will make both memberships cost the same.

The subject of this question is Mathematics, and it is related to the topic of linear equations. Given the problem, we know that there are two types of membership options:

Here, Y represents the total cost of the membership each month and v represents the number of visits to the water park per month. You can set these two equations equal to each other in order to find the number of visits (v) needed for the two membership types to cost the same amount:

70 = 10 + 5v

You solve the equation for v to get: v = (70 - 10) / 5 = 12

Therefore, it would take 12 visits per month for both memberships to cost the same.

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Answer:

x < -28

Step-by-step explanation:

5x < -28

x < -28/5

Answer: To find the highest common factor (HCF) of two polynomials, we can use the Euclidean algorithm for polynomials. The Euclidean algorithm involves dividing the larger polynomial by the smaller polynomial and continuing the division process until the remainder is zero. The last non-zero remainder is the HCF of the two polynomials.

In this case, we have:

2x^3 + x^2 - 3x = (2x^3 - x^3) + x^2 - 3x

= x^3 + x^2 - 3x

Now, we divide x^3 + x^2 - 3x by x^3 - x

x^3 + x^2 - 3x = x^3 - x * (1 + x - 3)

= x^3 - x * (x^2 - 2x + 3)

We cannot simplify this expression further, so the HCF of 2x^3 + x^2 - 3x and x^3 - x is x^3 - x.

Step-by-step explanation:

The high level of airline ticket sales that travel agencies experience during summer is an example of (option C.)Seasonal component of a time series.

A time series is a set of observations collected over a period of time, and it can be decomposed into various components, including trend, cyclical, seasonal, and random variation.

The trend component represents the overall pattern of the time series, such as an upward or downward trend. The cyclical component represents the repeating patterns that are not related to the regular seasons or calendar years. The seasonal component represents the regular variations that occur at specific times of the year, such as the summer months in this example. The random variation represents the unpredictable fluctuations in the time series.

Since the high level of airline ticket sales during summer is a regular variation that occurs every year at the same time, it is an example of the Seasonal component of a time series.

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Complete question:

The high level of airline ticket sales that travel agencies experience during summer is an example ofwhich component of a time series?

A.Trend.

B.Cyclical.

C.Seasonal.

D.Random variation

Part A:

Based on the medians, the plants in Group A grew less on average, as compared to the plants in Group B.

Part B:

The range and IQR are greater in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.

A box and whisker plot displays a "box" with its left edge at Q₁, right edge at Q₃, "center" at Q₂ (the median), and "whiskers" at the maximum and minimum.

Given:

Caleb is comparing the growth of plants using two different fertilizers.

The box-and-whisker plot is given.

From the diagram, we can clearly see that the median of A is less than the median of B.

Part A:

Based on the medians, the plants in Group A grew less on average, as compared to the plants in Group B.

Part B:

The range and IQR are greater in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.

Therefore, the blanked words are given above.

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Answer:

53.85 %

Step-by-step explanation:

use ratio to solve.

14/26 = x/100

1400/26 = x

x = ~53.85%

Answer:

Step-by-step explanation:

ok so it is 100 amount budgeted i calculated all of them dont be mad if i did it wrong i am really bad at math and here is a calmng photo to calm you and elp you think

For rectangle ABCD, the value of x is 6.44 inches

Consider the following diagram.

From this figure we can observe that the dimansions of the rectangle: length is given by expression (7x + 1) and width is given by expression 'x'

We know that tha formula for the perimeter of the rectangle,

P = 2 × (length + width)

Here, the perimeter of rectangle ABCD is 105 inches.

Using above formula of perimeter we get an expression,

P = 2 × ((7x + 1)+ x)

105 = 2 × (8x + 1)

We solve above equation for x.

105/2 = 8x + 1

52.5 - 1 = 8x

8x = 51.5

x = (51.5)/8

x = 6.44 inches

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The weight of Trevor's goat will be 51 pounds at age 3.

We can use the following equation to calculate the weight of Trevor's goat at age 3,

Weight at age 3 = 6 3/8 × 8

First, we require to convert 6 3/8 to an improper fraction, so we multiply 6 by 8 to get 48 and then add the numerator 3 to get 51. So, 6 3/8 can be composed as 51/8.

Next, we multiply 51/8 by 8 to calculate the weight at age 3,

51/8 × 8 = 408/8 = 51

Therefore, the weight of Trevor's goat will be 51 pounds at age 3.

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--The given question is incomplete; the complete question is

"Trevor's pet goat weighed 6 3/8 pounds when it was born. By age 3, the goat weighed 8 times as much. Fill each box with a number or symbol from the list to show how to find the weight of Trevor's goat at age 3."--

The function f(x) = 500(1 - 0.19)^x² is an exponentially decaying function.

The rate of decay is 0.19 or 19% and an equivalent expression to it is

f(x) = 500(0.9)^x.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function f(x) = 500(1 - 0.19)^x² for the price of a share of stock.

This would be an exponentially decaying function because (1 - 0.19) is less than 1.

The rate of exponential decay is 0.19 or 19%.

An equivalent expression to the function f(x) = 500(1 - 0.19)^x² is,

f(x) = 500(0.9)^x.

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Answer:

I need the answer tooo

The value of "n" is approximately 2.6666667.

Exponent is a mathematical operation that represents repeated multiplication of the same number.

We can start by simplifying the left side of the equation:

(2^(2n))^4 * (2^n)^2 = 2^16 - 1

Using the exponent rules:

a^m * a^n = a^(m + n)

We can simplify the left side of the equation further:

2^(4n + 2n) = 2^16 - 1

Combining the exponents:

2^(6n) = 2^16 - 1

Now we can use the fact that if a^m = a^n, then m = n to solve for "n":

6n = 16

Dividing both sides by 6:

n = 16/6 = 8/3

Therefore, The value of "n" is approximately 2.6666667.

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The given values are below:

Note that point V is the intersection of the three perpendicular bisectors of a triangle which is also the center of the subtriangle circumference

So QV = RV = PV = 78

Point S is the midpoint of PR

So PR = 2,
PS = 2 x 64 = 128.

Because triangle QUV is a right triangle,

QV = 78.

UV= 30

QV^2 + UV^2 = QV^2

Therefore, PU = 72

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Answer:

the value of x is 5

Step-by-step explanation:

3x=6+9

3x=15

x=5

The numeric values of the graphed function at x = 1 and x = 3 are given as follows:

Tracing a vertical line through the coordinate x = 1, we have that the line would cross the graph at approximately y = 0.7, hence the numeric value is estimated as follows:

f(1) = 0.7.

Following the same procedure through x = 3, the line would cross the graph at approximately y = 0.4, hence the numeric value is estimated as follows:

f(3) = 0.4.

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Answer:

16.425 in²

Step-by-step explanation:

    Area of upper triangle:

          b = 2.5 in  ;  h = 2.3 in

           [tex]\sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}bh}[/tex]

                                          [tex]\sf =\dfrac{1}{2}*2.5 * 2.3\\\\ =\dfrac{5.75}{2}\\\\=2.875 \ in^2[/tex]

     Area of bottom triangle:

                h = 5.2 - 2.3

                   = 2.9 in

                  [tex]\sf Area \ of \ bottom \ triangle = \dfrac{1}{2}*3*2.9[/tex]

                                                      =  4.35   in²  

Area of rectangle:

     Area of rectangle = l * w

                                   = 4 * 2.3

                                   = 9.2 in²

Area of composite figure = area of upper triangle + area of bottom triangle + area of rectangle

                                           = 2.875 + 4.35 + 9.2

                                          = 16.425   in²

Answer:The distance cover by Noah in 1 hour to cover distance is 6.5 miles

Step-by-step explanation:

Answer:

∠ A = 138° , ∠ C = 75°

Step-by-step explanation:

ABCD has parallel bases and is a trapezium

each lower base angle is supplementary to the upper base angle on the same side.

∠ A + 42° = 180° ( subtract 42° from both sides )

∠ A = 138°

∠ B + ∠ C = 180 , that is

12x - 3 + 9x - 6 = 180

21x - 9 = 180 ( add 9 to both sides )

21x = 189 ( divide both sides by 21 )

x = 9

Then

∠ C = 9x - 6 = 9(9) - 6 = 81 - 6 = 75°

Answer:

The answer is D

Step-by-step explanation:

Percentages can be represented in Hundred Grid. It is a 10*10 grid that helps solves problems like yours.

In your case, it says 'Which figure represents 40% ?'

This means that you must shade 4 whole columns.

Because number 1, Each row or column contains 10 squares which can  also represent 10%. And if you were to shade 2 rows or columns that would mean it is 20%.

I'm always happy to help!

The simplification of the given rational expression when x is not equal to 2 or negative 3 is determined as (x + 1)/(x + 3).

The simplification of the given expression when x is not equal to 2 or negative 3 is determined as follows;

[tex]$=\frac{(x+1)(x-2)}{(x-2)(x+3)}$[/tex]

cancel "[tex]$\mathrm{x}$-2[/tex]" since it is common to numerator and denominator

[tex]$$=\frac{(x+1)}{(x+3)}$$[/tex]

Thus, the simplification of the given rational expression when [tex]$\mathrm{x}$[/tex]is not equal to 2 or negative 3 is determined as [tex]$(x+1) /(x+3)$[/tex].

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