how can i solve 8+3(2x-7)=11x

Given that STU is dilated by a scale factor of 2, the resulting rule is (x, y) ⇒ (2x, 2y)

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

Dilation is the increase or decrease in the size of a figure by a scale factor.

Given that STU is dilated by a scale factor of 2, the resulting rule is (x, y) ⇒ (2x, 2y)

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Answer:

D

Step-by-step explanation:

A boxed area represents 25% of the data set. This means that 70-85 is 25% and 85-100 is 25%

25%+25%=50%

Answer: 48

Step-by-step explanation:

A = bh = (8)(6) = 48

The function (329.99 + 108.78n)/n will represent the cost per year over the lifetime of the unit in terms of the number of years.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Cost for the unit = $329.99

Annual operating cost = $108.78

C(n) represents the cost per year

n represents the number of years

The function can be modelled:

C(n) = (329.99 + 108.78n)/n

Thus, the function (329.99 + 108.78n)/n will represent the cost per year over the lifetime of the unit in terms of the number of years.

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In systematic sampling, individuals are selected at regular intervals from the sampling frame.

Stratified sampling- In this method, the population is first divided into subgroups (or strata) who all share a similar characteristic

Clustered sampling.- a clustered sample, subgroups of the population are used as the sampling unit, rather than individuals. The population is divided into subgroups, known as clusters, which are randomly selected to be included in the study

Simple random sampling. -In this case each individual is chosen entirely by chance and each member of the population has an equal chance, or probability, of being selected.

Quota sampling--This method of sampling is often used by market researchers. Interviewers are given a quota of subjects of a specified type to attempt to recruit.

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Answer:

[tex]l = 2x + 4[/tex]

Step-by-step explanation:

[tex]p = 6x + 18 \\ w = x + 5 \\ p = 2(l + w) \\ 6x + 18 = 2(l + x + 5) \\ 6x + 18 = 2l + 2x + 10 \\ 2l = 4x + 8 \\ l = 2x + 4[/tex]

Work Shown:

IQR = Q3 - Q1

IQR = 70 - 48

IQR = 22

Note: Q1 and Q3 are the left and right edges of the box. The IQR is the width of the box.

Answer:

424

Step-by-step explanation:

SF: 2{(8 x 4) + (4 x 15) + (8 x 15)}

therefore: 2 [32 + 60 + 120]

therefore: 64 + 120 + 240

therefore: 360 + 64

therefore: 424

Answer:

424

Step-by-step explanation:

To find the surface area, you need to find the area of all the faces of the shape. Because this is a rectangle, you only need to find the 3 different faces and then multiply them by 2. For the largest face, the dimensions are 8*15, which is 120. Multiply that by 2 and you get 240. For the long, slim face, the dimensions are 4*15, which is 60. Multiply that by 2 and you get 120. Finally, the smallest face's dimensions is 8*4, which is 32. Double that and you get 64. Now all you need to do is add all the products up. 240+120+64 is 424, which is your answer.

Hope this helped!

Answer:

37

Step-by-step explanation:

You have to divide 74 by 2x to get your equation.

Answer:

37

Step-by-step explanation:

1-2x=74

2-Divide by two on both sides

3-2x÷2= x

4-74÷2=37

263 meters in 6 mins

how many meters can he swim in 15 minutes.

[tex] \frac{236}{6} [/tex]

[tex] = 39.33[/tex]

[tex]39 .33\times 15[/tex]

[tex] = 589.95[/tex]

[tex]nearest \: whole \: number = 590[/tex]

therefore, he can swim 590 meters in 15 minutes.

answer= option C

Answer:

C: 590 meters

Step-by-step explanation:

Let's start by finding Raymond's rate of swimming for meters per minute. We know that he can swim 236 meters in 6 minutes. So let's divide 236 by 6 to find how far Raymond can swim in 1 minute.

236 / 6 = 39.3

So if we know Raymond can swim 39.3 meters in 1 minute, we multiply 39.3 meters by 15, to find how far he can swim in 15 minutes.

39.3 * 15 = 589.995 which is approximately 590 meters. So, we would chose option C: 590.

Answer:

123 degrees

Step-by-step explanation:

180 - 57 = 123

Answer:

33

Step-by-step explanation:

123 is not the answer, on edge

30/40

Step-by-step explanation:

like my guy it's thaymt ez

The profit that Jim got in percentage will be 46.67%.

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.

The profit is given as,

Profit = Selling price - Cost price

Jim buys a wardrobe for £30. He sells it for £44. The profit is calculated as,

Profit = £44 - £30

Profit = £14

The profit in percentage is calculated as,

P = (£14 / £30) x 100

P = 0.4667 x 100

P = 46.67%

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The indefinite integral means the integration without limit is known as indefinite integral. The indefinite integral of the function (4 + x⁵) is given below.

[tex]4x + \dfrac{x^6}{6} + c[/tex]

It is the reverse of differentiation.

Then the general indefinite integral will be

[tex]\rm \rightarrow \int (4+ x^5) dx \\\\\rightarrow 4x + \dfrac{x^6}{6} + c[/tex]

Where c is the constant of integration.

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The set A is the set of sports balls that are spherical, the complement of set A is {baseball}.

Given that the universe set U = {baseball, basketball, football, tennis ball, soccer ball, volleyball}.

Sets in mathematics, are simply a collection of distinct objects forming a group. A set can have any group of items, be it a collection of numbers, days of a week, types of vehicles, and so on. Every item in the set is called an element of the set.

The set A is the set of sports balls that are spherical

Set A={basketball, football, tennis ball, soccer ball, volleyball}

So, the complement of Set A is {baseball}

Because, a baseball infield is in the shape of a square, with each base at a vertex.

Hence, the set A is the set of sports balls that are spherical, the complement of set A is {baseball}.

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Answer:

V=whl=14·13·19=3458m³

Answer:

1152.66 m³

Step-by-step explanation:

Volume = ⅓ × base area × height

= ⅓ × (length × width) × height

= ⅓ × 19 × 14 × 13

= ⅓ × 3458

= 1152.66 m³

Answer:

24π cm.

or

75.40 cm to the nearest hundredth

Step-by-step explanation:

The circumference = 2 π r = 2 * π *20

= 40π cm.

Length of the arc = 40 π * 216/360

= 40 * 0.6 *  π

= 24π cm

the answer is A.0 because 0 devided by a number iz zero

Answer:

(-2, 3)

Step-by-step explanation:

The equation most closely models the line of best fit for the scatter plot is y = 2.5x

A line is the distance between two points. The equation of a line in point-slope form is given as y =mx + b

where:

m is the slope or rate of change

b is the intercept

Using the coordinate points on the line (3, 5000) and (9, 20000)

Get the rate change(slope)

Slope = 20000-5000/9-3

Slope = 15000/6 = 2500

Determine the y-intercept by substituting

5000 = 2500(3) + b

b = 5000 - 7500

b = -2500

Determine the equation

y = 2.5x - 2.5

Hence the equation most closely models the line of best fit for the scatter plot is y = 2.5x

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Answer:

2258

Step-by-step explanation:

Answer:

1.5 grams

Step-by-step explanation:

This is because if there are five hours there will be 5 half lives due to it decaying 50% every hour. Therefore we would have to dived 48 by 2, 5 times or in other words 48÷[tex]2^{5}[/tex] = 1.5

Answer:

i think its 8

Step-by-step explanation:

25 divided by 3 is eight.

The value of multiplying the factors of 3√2 * 2√5 * 8√18 is 288√5 in radical form

The expression is given as:

3√2 * 2√5 * 8√18

Multiply the integers

3√2 * 2√5 * 8√18 = 3 * 2 * 8 *√2 *√5 * √18

This gives

3√2 * 2√5 * 8√18 = 48 *√2 *√5 * √18

Multiply the radicands

3√2 * 2√5 * 8√18 = 48 *√5 * √36

Take the square root of 36

3√2 * 2√5 * 8√18 = 48 *√5 * 6

Multiply 48 by 6

3√2 * 2√5 * 8√18 = 288√5

Hence, the value of 3√2 * 2√5 * 8√18 is 288√5

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Biotic are living things while on the other hand abiotic are non living things.

Biotic can be defined as living things or living organism while abiotic on the other hand can be defined as non living things or non living organism.

Examples of biotic are:

Examples of abiotic are:

Therefore Biotic are living things while on the other hand abiotic are non living things.

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answer : 3.22

if the sum of 2 numbers is 12 and one of the numbers is 8.78, then the subtraction of the number from the sum will give you the other number.

Answer:

  45/7

Step-by-step explanation:

The ratio of volumes is the cube of the scale factor for similar figures.

__

  sf³ = (729 m³)/(2.744 m³) = 9³/1.4³

  sf = ∛(9³/1.4³) = 9/1.4 = 45/7

The scale factor between the larger and smaller cubes is 45/7.

Answer:

A, D and F

Step-by-step explanation:

cus they are an acute triangle because they are smaller than 90 degrees

Answer:

a is the answer

Step-by-step explanation:

Segment PR is PQ-RE=24-14=10

The probability that a point will be in PR is 10/24 or 0.4166 which rounds up to 0.42

Answer:

x= - 4

Step-by-step explanation:

2 * x^2 + 8 * x = x^2 - 16

2 * x^2 - x^2 + 8 * x + 16 = 0

x^2 + 8 * x + 16 = 0

(x + 4) * (x + 4) = 0

x = - 4

Indigo drinks 5 ounces glasses per hour.

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.

As in [tex]\frac{4}{5}[/tex]  hour she drinks =10*[tex]\frac{2}{5}[/tex]

                                     = [tex]\frac{20}{5}[/tex]

                                     =4 ounce

She is drinking 4 ounce in [tex]\frac{4}{5}[/tex]  hours,

= [tex]\frac{4}{\frac{4}{5} }[/tex]

= [tex]4*\frac{5}{4}[/tex]

=5 ounce in an hour.

She drink 5 ounces glasses per hour.

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