115% = 38x + 161y
What is 100%?

According to scale drawing, the actual length of route is 84 metres.

The calculations will be based on the concept of ratio and proportion -

Ratio in real :: Ratio of scale drawing

Let us assume the actual length of route be x.

28 : x :: 1 : 300

Writing the ratio as fraction

28/x = 1/300

Cross multiplying the fraction

x = 28 × 300

Performing multiplication on Right Hand Side of the equation

x = 8400 cm

Converting centimetres to meters. As per the known fact, 100 cm = 1 metre

8400 cm = 84 meters

Thus, the actual length is 84 meters.

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Answer:

x=90. 3x=270

Step-by-step explanation:

120•6=45•2+135•2+4x

X=90

3X=270

Answer:

here you go..

Step-by-step explanation:

please mark brainliest...

Answer:

y=16

Step-by-step explanation:

Notice that the first equation was multiplied by 4, so you have to multiply the result by 4 to keep it as a true equation

The given graph can be expressed as an equation of f(x) = tan(-x) - 2.

What is a graph of a trigonometric function?

In these trigonometry graphs, the x-axis values of the angles are in radians, and the y-axis value of the function at each given angle is taken as f(x).

The given graph is of a negative angle of a tangent.

So if we draw the graph of the tangent of a negative angle, the graph will pass through the origin, but

If we subtract 2 from the graph of the tangent of the negative angle then we will get the same graph as shown in the given figure.

So the equation would be f(x) = tan(-x) - 2.

Hence, the equation of the graph will be f(x) = tan(-x) - 2.

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Answer:

It will take 6 days to catch up and they both will have read 210 pages

Step-by-step explanation:

to find this out we just find where the line intersects

It intersects at 6 days and 210 pages

Hopes this helps please mark brainliest

Answer: i put this here so you can mark the other person brainliest

Step-by-step explanation:

By using the rectangle, we proved that area of triangle is half the area of rectangle that is 1/2 (base×height).

To Prove:- Area of a triangle= 1/2 (base×height)

Diagonals of the rectangle divide it into two parts of equal areas.

Let  ABCD  be a rectangle.

In ΔABC and ΔADC,

                                         AC=AC

By Alternate Interior Angles:

                                    ∠BAC=∠CAD

                                    ∠BCA=∠CDA

Hence, ΔABC≅ΔACD

                               ∴ar(ΔABC) =ar(ΔACD)

Let ΔABC,

We draw a line AD perpendicular to BC, line EF parallel to BC passing through A and lines BE and CF , perpendicular to BC passing through B and C respectively.

In rectangle ADBE,

we get,

                     ar(ΔABE)=ar(ΔADB)

Similarly, in rectangle ADCF,

                     ar(ΔADC)=ar(ΔACF)

Now, area of rectangle BCFE, from axiom,

                               =(length)⋅(breadth)

                               =AB⋅BC

                              =AD⋅BC

Also,

ar(BCFE)

                                   =ar(ADBE) + ar(ADCF)

                                   =2⋅ar(ΔADC) + 2⋅ar(ΔADB)

                                   =2(ar(ΔADC) + ar(ΔADC)

                                   =2(ar(ΔABC))

From (1) and (2),

                                   2(ar(ΔABC)) = AD⋅BC

                                    ar(ΔABC) = 1/2AD⋅BC

                                   ar(ΔABC) = 1/2(base)⋅(height)

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6x^2 - 2x = 0

-> 2x ( 3x - 1 ) = 0

For this equation to hold true, either 2x or 3x-1 must be equal to 0.

-> 2x = 0 - > x = 0

-> 3x - 1 = 0 -> x = 1/3

The number of nametags that should be in the fourth row is 12

It should be noted that this information illustrates sequence.

In this case, the supervisor placed the first three rowsthe first row has 3 nametags, the second row has 5 nametags, and the third row has 8 nametags.

The difference will be:

5 - 3 = 2

8 - 5 = 3

Therefore, the next one will have a difference of 4. This will be:

= 8 + 4

= 13

Check: 12 - 8 = 4

Therefore, the nametags should be 12.

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The slope and the y-intercept of the function y = -2x+3 is -2 and (0,3).

The slope of a line is the ratio of the amount that y increases as x increases some amount. The slope is constant (the same) anywhere on the line.

Slope is calculated as (change in y divided by change in x). i.e.

slope=dy/dx

The y- intercept of a graph is the point where the graph intersects the y-axis.

The x-coordinate of any point on the y-axis is 0. So the x-coordinate of a y-intercept is 0.

So the y-intercept of the function y = -2x+3 is y= 3 i.e. (0,3).

slope = dy/dx = d/dx(-2x) + d/dx(3) = -2

⇒slope = -2.

Therefore slope of y = -2x+3 is -2 and y-intercept is (0,3).

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Answer: the rate change in this problem would be by 1.50

Step-by-step explanation:

The rate of change in this word problem will be 2.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A local ice cream shop has a special deal on Thursdays. buy a waffle cone for $3 and get each scoop for $1.50.

Now,

The rate of change will be find as;

The rate of change = $3 / $1.50

                              = 2

Thus, The rate of change in this word problem will be 2.

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Answer:

[tex]x=7[/tex]

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees.

So we have  [tex]108+47+(2x+11)=180[/tex]

Solve for x.

[tex]47+(2x+11)=72[/tex]

[tex]2x+11=25[/tex]

[tex]2x=14[/tex]

[tex]x=7[/tex]

Answer:

7

Step-by-step explanation:

108+47=155

180-155=25

25-11=14

14/2=7

Reason:

Multiply both sides by 5 to undo the division.

w/5 = 3

5*(w/5) = 5*3

w = 15

As a way to check, plug in w = 15

w/5 = 3

15/5 = 3

3 = 3

We get a true statement at the end to confirm w = 15 is indeed the answer.

The option that describes the similarity relationship between the triangles is the option; The triangles are not similar, no expression for x can be found.

Similar triangles are triangles that  have all three interior angles of one triangle, congruent to the three angles of the other triangle.

The parameters of the triangles can be presented as follows;

ΔABC

∠A = 47°

∠C = 62°

AC = y

AB = w

BC = x

The measure of angle  ∠B = 180° - 47° - 52° = 81°

ΔDEF

∠D = 71°

∠E = 47°

DE = z

EF = u

DF = r

Therefore;

∠F = 180°- 71° -  47° = 62°

The angles of triangle ΔABC are not congruent to the angles of triangle ΔDEF, therefore; triangle ΔABC  and triangle ΔDEF are not similar.

Therefore;

The triangles are not similar, no expressions for x can be found.

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Answer: 1712

Step-by-step explanation:

[tex]a_{n} = a_{1} + d(n -1)[/tex]

[tex]a_{1} = -16[/tex]

[tex]d = 2 - (-16) = 18\\[/tex]

       [tex]20 - 2 = 18[/tex]

[tex]-16 + 18(n+1)[/tex]

[tex]-16 + 18(97+1)[/tex]

[tex]-16 + (1728)\\[/tex]

[tex]1712[/tex]

It will take the ship 5 hours to travel 75 miles

A variation is a relation between a set of values of one variable and a set of values of other variables. Direct variation. In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.

if it takes 2 hours to cover 30 miles by the ship and 4 hours to cover 60 miles.

let d be the distance covered in miles and t time taken in hours

The d ∝ t

introducing a constant

d = kt

when d = 30, t = 2

30 = 2k

k = 30/2

k = 15

The equation relating d and t is

d = 15t

to find t when d = 75, making t the subject of the equation

t = d/15

t = 75/15

t = 5 hours

In conclusion, 5 hours is the time taken to cover 75 miles.

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Answer:

23-1=22

Step-by-step explanation:

Step-by-step explanation:

x² - 7 = 6x

x² - 6x - 7 = 0

the generation solution to such a quadratic ratatouille

ax² + bx + c = 0

is

x = (-b ± sqrt(b² - 4ac))/(2a) =

= (6 ± sqrt((-6)² - 4×1×-7))/(2×1) =

= (6 ± sqrt(36 + 28))/2 = (6 ± sqrt(64))/2 =

= (6 ± 8)/2 = (3 ± 4)

x1 = 3 + 4 = 7

x2 = 3 - 4 = -1

the sum of both solutions is : 7 + -1 = 7 - 1 = 6

Answer:

Step-by-step explanation:

Area of the square = 6^2 = 36 cm^2

radius = 6 : 2 = 3 cm

Area of the four semicircles = 3^2 * π * 2 = 18 π cm^2

Total area in terms of π= 36 + 18π = 18(2+π) cm^2

Total area = 18(5.141593) = 92.548668 = 92.5 cm^2

Answer:

[tex]-\frac{9}{10} x+5[/tex]

Step-by-step explanation:

[tex](-\frac{3}{5} x-7)-(-12+\frac{3}{10} x)\\\\-\frac{3}{5} x-7+12-\frac{3}{10} x\\\\-\frac{3}{5} x+5-\frac{3}{10} x\\\\-\frac{6}{10} -\frac{3}{10}x+5\\\\-\frac{9}{10} x+5[/tex]

In proportionate stratified random sample of 120, 72 are Whites, 24 are latinos, 18 are blacks, and 6 are others.

From the question, we have

In a population of 250 students, 60% are whites, 20% are latinos, 15% are blacks, and 5% others.

sample = 120

Number of whites = 60% of 120

= 0.6 × 120

=72

Number of latinos = 20% of 120

= 0.2 × 120

=24

Number of blacks = 15 % of 120

= 0.15 × 120

= 18

Number of others = 5% of 120

= 0.05 × 120

= 6

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. We frequently do one of the fundamental mathematical procedures. Using multiplication tables is the most obvious application. To represent the repetitive addition of one number to another, mathematicians multiply two numbers. Natural numbers, fractions, integers, whole numbers, and other types of numbers can be included. When M is multiplied by n, M is either added to itself 'n' times or subtracted from itself.

Complete question:

select all that apply. In a population of 250 students, 60% are Whites, 20% are Latinos, 15% are Blacks, and 5% others. In a proportionate stratified random sample of 120, ______.

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The sum of the interior angles of a polygon with 28 sides is 4680°.

According to the question,

We have the following information:

The number of sides of a polygon = 28

We know that the following formula is used to find the sum of the interior angles of a polygon:

(n-2)*180 where n is the number of sides

Putting the value of n in this formula for the given polygon:

(28-2)180

We will first solve the bracket and then we will multiply the obtained result by 180:

26*180

4680°

Hence, the sum of the interior angles of a polygon with 28 sides is 4680°.

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Answer:

14

Step-by-step explanation:

Answer:

$14.25

Step-by-step explanation:

2 bags of cat food costs $9.50. To calculate the price of one, divide $9.50 in half.

$9.50/2 = $4.75

Now, to calculate how much she'd have to spend on 3 bags, you need to multiply $4.75 by 3

$4.75 x 3 = $14.25

by using division, we can find what 1 bag of cat food is worth. Then, we can use multiplication to find what 3 bags of cat food are worth

Worth of One Bag

where w is the worth of one bag

Set up equation                                                                   w = 9.50/2

Solve                                                                                    w = $4.75

Worth of Three Bags

where w is the worth of 3 bags

Set up equation                                                                   w = 4.75(3)

Solve                                                                                    w = $14.25

Given that Rebecca is x years old and Mary is 8 yrs older than her , so the age of Mary will be;

[tex]\longrightarrow Age_{Mary}= x+8 [/tex]

Again Jim is 3 times older than Mary, so the age of Jim will be,

[tex]\longrightarrow Age_{Jim}= 3(x+8) [/tex]

Now we are given that the sum of their ages is 67. So that ;

Equation in terms of x :-

[tex]\longrightarrow x + (x+8) +3(x+8)=67 [/tex]

Solving the equation,

[tex]\longrightarrow x + x +8+3x+24=67\\ [/tex]

[tex]\longrightarrow 5x + 32 =67\\ [/tex]

[tex]\longrightarrow 5x = 67-32 \\ [/tex]

[tex]\longrightarrow 5x = 35\\ [/tex]

[tex]\longrightarrow x = 7 [/tex]

So ,

And we are done!

Answer:

bro that question is absolute whack

The relationship between the triangles is angle angle side.

We know that triangles could be related in certain ways. The way that a triangle is related to each other can be used to determine the relationship then the several ways that triangles could be related to eacjh other are;

Side angle side

Angle angle side

side side side.

We can see that the angles and the sides of this triangles are the same so the relationship between then can be said to be on the basis of angle side angle.

Looking at the images, it is clear that the triangles are congruent because there are two sides and an angle that are equal.

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The estimated value of √4.98 +2.16×7.35 = 18.1075

Operators are Mathematical methods that emphasize particular actions like adding, dividing, and adding multiple times are known as Mathematical Operations. The basic mathematical operations are 4 types they are Addition, Subtraction, Multiplication, and Division.

While we use mathematical operations to solve a problem we will use the BODMAS rule as given below

B - Brackets (Calculating numerical parts in brackets comes first )

O - Orders   (Simplify powers and square roots)

D - Division  (Complete division parts )

M - Multiplication (complete multiplication)

A - Addition   (complete additions part )

S - Subtraction ( End with subtractions )  

Here we have

√4.98 +2.16×7.35

Here the value of √4.98 = 2.2315  (approximately)  

From above value

=> √4.98 +2.16×7.35

=> 2.23 + 2.16 × 7.35  

By using the BODMAS rule

=> 2.23 + 15.876       [ Do multiplication ]

=> 18.106                   [ Do adding ]

Therefore,

The estimated value of √4.98 +2.16×7.35 = 18.106 (approx)

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If the price is increased from $25 to $50 the demand will fall whereas when the price is decreased from $50 to $25 the demand for haircut will increase.

The price has the greatest influence on a product's demand. The cost of a thing and the demand for it generally go hand in hand. Demand of a product is inversely proportional to its price.

Lower prices increase demand, while higher prices decrease it. This is a result of consumer satisfaction levels.

The  other factors influencing consumer demand are:-

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